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+{"segments": [{"id": 1, "seek": 4320, "start": 20.74, "end": 43.2, "text": "قالون الـ Newton للجذب الأرض طبعا أنتم أغلبه معلومات عنده تعرفوا أن القمر بيرفع على الأرض ما هي القوة المسئولة عن زوران القمر؟ قوة جذب الأرض القمر حلو طيب هو إيش مفرد؟ القمر عن أي كتلة؟", "tokens": [4587, 6027, 11536, 2423, 39184, 19541, 24976, 7435, 8848, 3555, 16247, 43042, 23032, 3555, 3615, 995, 14739, 39237, 5551, 17082, 46152, 3224, 20449, 1211, 20498, 9307, 43242, 3224, 6055, 3615, 28480, 14407, 14739, 25062, 29973, 4724, 1829, 28480, 3615, 15844, 16247, 43042, 19446, 39896, 25062, 2407, 3660, 9673, 3794, 19986, 12610, 3660, 18871, 30767, 13063, 7649, 25062, 29973, 22807, 12174, 2407, 3660, 10874, 8848, 3555, 16247, 43042, 25062, 29973, 11331, 1211, 2407, 23032, 1829, 3555, 31439, 11933, 1829, 8592, 3714, 5172, 2288, 3215, 22807, 25062, 29973, 18871, 36632, 9122, 2655, 37977, 22807], "avg_logprob": -0.27301748080920146, "compression_ratio": 1.7783783783783784, "no_speech_prob": 1.1920928955078125e-07, 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mass two kilogram اربع كيلو جرام and ستة كيلو جرام are arranged as shown قال لي لما قلتلك هالتلت قوة هيك طيب ايش بده؟ calculate the total force acting on the two kilogram mass by the other two masses بيقوللي هذه", "tokens": [3555, 1829, 39648, 32239, 1045, 7510, 295, 2758, 732, 21741, 1975, 25513, 3615, 9122, 26895, 2407, 10874, 2288, 10943, 293, 8608, 2655, 3660, 9122, 26895, 2407, 10874, 2288, 10943, 366, 18721, 382, 4898, 50239, 32239, 5296, 15042, 12174, 1211, 2655, 23275, 8032, 6027, 2655, 1211, 2655, 12174, 2407, 3660, 39896, 4117, 23032, 1829, 3555, 1975, 1829, 8592, 47525, 3224, 22807, 8873, 264, 3217, 3464, 6577, 322, 264, 732, 21741, 2758, 538, 264, 661, 732, 23935, 4724, 1829, 39648, 20292, 29538], "avg_logprob": -0.2978394943990825, "compression_ratio": 1.4880382775119618, "no_speech_prob": 0.0, "words": [{"start": 1082.24, "end": 1082.6, "word": "بيقول", "probability": 0.5480550130208334}, {"start": 1082.6, "end": 1082.74, "word": " لي", "probability": 0.607421875}, 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تطلع هذه خمسة و هذه تلاتة تقولوا تمانية؟ لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. ل", "tokens": [3555, 9957, 11296, 12174, 2407, 3660, 10874, 8848, 3555, 4032, 25894, 11296, 12174, 2407, 3660, 10874, 8848, 3555, 49429, 5296, 10721, 22807, 23032, 1829, 3555, 39896, 4724, 36081, 7435, 8848, 3555, 11296, 10874, 38251, 49429, 10874, 38251, 9957, 22807, 10874, 38251, 9957, 4386, 10874, 38251, 9957, 4386, 10874, 38251, 9957, 4032, 8608, 9307, 2288, 4386, 11933, 15730, 5551, 25528, 25961, 6156, 2288, 9381, 25894, 11296, 6055, 29399, 3224, 1829, 25062, 2407, 3660, 33688, 7435, 2304, 6027, 10632, 37893, 10874, 10943, 27884, 4724, 3794, 41850, 4724, 7435, 2304, 3615, 18875, 49429, 39684, 22807, 18875, 4386, 18875, 4386, 18875, 9154, 34105, 4117, 4724, 1829, 3224, 22807, 37893, 6055, 9566, 1211, 3615, 29538, 16490, 2304, 3794, 3660, 4032, 29538, 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"probability": 0.54931640625}, {"start": 1815.73, "end": 1816.31, "word": " period؟", "probability": 0.79052734375}, {"start": 1816.31, "end": 1816.67, "word": " جدّي", "probability": 0.81689453125}, {"start": 1816.67, "end": 1817.27, "word": " السرعتها", "probability": 0.73974609375}, {"start": 1817.27, "end": 1817.97, "word": " والزمن", "probability": 0.7893880208333334}, {"start": 1817.97, "end": 1818.41, "word": " الدوري؟", "probability": 0.83740234375}, {"start": 1818.41, "end": 1818.59, "word": " طبعا", "probability": 0.7916259765625}, {"start": 1818.59, "end": 1818.85, "word": " الزمن", "probability": 0.8894856770833334}, {"start": 1818.85, "end": 1819.25, "word": " الدوري", "probability": 0.9793294270833334}, {"start": 1819.25, "end": 1819.35, "word": " يا", "probability": 0.91357421875}, {"start": 1819.35, "end": 1819.75, "word": " بنات", "probability": 0.8717447916666666}, {"start": 1819.75, "end": 1820.25, "word": " هو", "probability": 0.96240234375}, {"start": 1820.25, "end": 1821.27, "word": " مسافة", "probability": 0.99072265625}, {"start": 1821.27, "end": 1822.61, "word": " المحيط", "probability": 0.97607421875}, {"start": 1822.61, "end": 1823.07, "word": " على", "probability": 0.3681640625}, {"start": 1823.07, "end": 1823.53, "word": " السرعة", "probability": 0.9658203125}, {"start": 1823.53, "end": 1824.29, "word": " لأنه", "probability": 0.8445638020833334}, {"start": 1824.29, "end": 1824.67, "word": " زمن", "probability": 0.9365234375}, {"start": 1824.67, "end": 1826.33, "word": " ومسافة", "probability": 0.87783203125}, {"start": 1826.33, "end": 1826.95, "word": " الدورة", "probability": 0.9225260416666666}, {"start": 1826.95, "end": 1827.27, "word": " هو", "probability": 0.7109375}, {"start": 1827.27, "end": 1827.83, "word": " المحيط", "probability": 0.9561767578125}], "temperature": 1.0}, {"id": 74, "seek": 185575, "start": 1830.95, "end": 1855.75, "text": "V بيساوي GME هذا القانون موجود بطلعه فهي سرعته 7.6×10³ m per second and for the period we use القانون تبع ال period مسافة الدورة على الزمن الدوري بتطلعلي ال period 1.55 hour تمام يعطيكوا الأعافية", "tokens": [53, 4724, 1829, 3794, 995, 45865, 460, 15454, 23758, 25062, 7649, 11536, 3714, 29245, 23328, 4724, 9566, 1211, 3615, 3224, 6156, 3224, 1829, 8608, 2288, 34268, 3224, 1614, 13, 21, 37550, 3279, 126, 111, 275, 680, 1150, 293, 337, 264, 2896, 321, 764, 25062, 7649, 11536, 6055, 3555, 3615, 2423, 2896, 47524, 31845, 3660, 32748, 13063, 3660, 15844, 6024, 110, 27842, 32748, 13063, 1829, 39894, 9566, 1211, 3615, 20292, 2423, 2896, 502, 13, 13622, 1773, 46811, 10943, 37495, 9566, 1829, 4117, 14407, 16247, 3615, 31845, 10632], "avg_logprob": -0.2846623631729477, "compression_ratio": 1.4230769230769231, "no_speech_prob": 0.0, "words": [{"start": 1830.95, "end": 1831.27, "word": "V", "probability": 0.501953125}, {"start": 1831.27, "end": 1831.71, "word": " بيساوي", "probability": 0.4906768798828125}, {"start": 1831.71, "end": 1832.33, "word": " GME", "probability": 0.643310546875}, {"start": 1832.33, "end": 1832.61, "word": " هذا", "probability": 0.446044921875}, {"start": 1832.61, "end": 1832.97, "word": " القانون", "probability": 0.8580729166666666}, {"start": 1832.97, "end": 1833.51, "word": " موجود", "probability": 0.9140625}, {"start": 1833.51, "end": 1834.33, "word": " بطلعه", "probability": 0.83212890625}, {"start": 1834.33, "end": 1835.51, "word": " فهي", "probability": 0.6051432291666666}, {"start": 1835.51, "end": 1836.09, "word": " سرعته", "probability": 0.77301025390625}, {"start": 1836.09, "end": 1836.75, "word": " 7", "probability": 0.689453125}, {"start": 1836.75, "end": 1838.83, "word": ".6×10³", "probability": 0.7099507649739584}, {"start": 1838.83, "end": 1839.57, "word": " m", "probability": 0.1505126953125}, {"start": 1839.57, "end": 1839.93, "word": " per", "probability": 0.044830322265625}, {"start": 1839.93, "end": 1840.53, "word": " second", "probability": 0.90576171875}, {"start": 1840.53, "end": 1841.35, "word": " and", "probability": 0.5224609375}, {"start": 1841.35, "end": 1841.59, "word": " for", "probability": 0.9580078125}, {"start": 1841.59, "end": 1841.81, "word": " the", "probability": 0.80859375}, {"start": 1841.81, "end": 1842.21, "word": " period", "probability": 0.98193359375}, {"start": 1842.21, "end": 1842.87, "word": " we", "probability": 0.7841796875}, {"start": 1842.87, "end": 1843.53, "word": " use", "probability": 0.85986328125}, {"start": 1843.53, "end": 1844.99, "word": " القانون", "probability": 0.9768880208333334}, {"start": 1844.99, "end": 1845.29, "word": " تبع", "probability": 0.8455403645833334}, {"start": 1845.29, "end": 1845.43, "word": " ال", "probability": 0.90576171875}, {"start": 1845.43, "end": 1845.73, "word": " period", "probability": 0.96630859375}, {"start": 1845.73, "end": 1846.47, "word": " مسافة", "probability": 0.9747721354166666}, {"start": 1846.47, "end": 1847.67, "word": " الدورة", "probability": 0.97021484375}, {"start": 1847.67, "end": 1847.87, "word": " على", "probability": 0.873046875}, {"start": 1847.87, "end": 1848.23, "word": " الزمن", "probability": 0.916015625}, {"start": 1848.23, "end": 1848.81, "word": " الدوري", "probability": 0.9677734375}, {"start": 1848.81, "end": 1849.87, "word": " بتطلعلي", "probability": 0.78447265625}, {"start": 1849.87, "end": 1850.09, "word": " ال", "probability": 0.86181640625}, {"start": 1850.09, "end": 1850.51, "word": " period", "probability": 0.98828125}, {"start": 1850.51, "end": 1851.09, "word": " 1", "probability": 0.77734375}, {"start": 1851.09, "end": 1851.89, "word": ".55", "probability": 0.97021484375}, {"start": 1851.89, "end": 1853.15, "word": " hour", "probability": 0.5986328125}, {"start": 1853.15, "end": 1854.45, "word": " تمام", "probability": 0.96826171875}, {"start": 1854.45, "end": 1855.23, "word": " يعطيكوا", "probability": 0.840869140625}, {"start": 1855.23, "end": 1855.75, "word": " الأعافية", "probability": 0.73699951171875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1856.73725, "duration_after_vad": 1738.6874999999961}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/0Sscf429-3g_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/0Sscf429-3g_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a184c17327c0024bf26cdfcceec94b9fb2f5a964
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/0Sscf429-3g_raw.srt
@@ -0,0 +1,1524 @@
+1
+00:00:20,740 --> 00:00:25,960
+قالون الـ Newton للجذب الأرض طبعا أنتم أغلبه
+
+2
+00:00:25,960 --> 00:00:29,960
+معلومات عنده تعرفوا أن القمر بيرفع على الأرض ما هي
+
+3
+00:00:29,960 --> 00:00:36,380
+القوة المسئولة عن زوران القمر؟ قوة جذب الأرض القمر
+
+4
+00:00:36,380 --> 00:00:44,750
+حلو طيب هو إيش مفرد؟ القمر عن أي كتلة؟الأصل ولا
+
+5
+00:00:44,750 --> 00:00:50,650
+إشي القمر عبارة عن كتلة و الأرض كتلة بينهم قوة جذب
+
+6
+00:00:50,650 --> 00:00:56,730
+هل يا ترى هذه القوة موجودة بينك و بينك و بينك و لا
+
+7
+00:00:56,730 --> 00:01:03,870
+لأ موجودة إذا المعناته أن يوتن جالت تاني جالت
+
+8
+00:01:03,870 --> 00:01:07,510
+every particle مش بس الأرض و القمر every particle
+
+9
+00:01:07,510 --> 00:01:11,630
+in the universe في الكون كل كتلتين في الكون
+
+10
+00:01:11,920 --> 00:01:17,760
+attracts every other particle بيجيب غيره with a
+
+11
+00:01:17,760 --> 00:01:23,620
+force that is هذه القوة وجدوا انها بتتناسب تناسبا
+
+12
+00:01:23,620 --> 00:01:28,680
+فرضيا مع حصر ضرب الكتلتين وعكسيا مع مربع المسافة
+
+13
+00:01:28,680 --> 00:01:32,400
+اللي بينهم اذا with a force that is directly
+
+14
+00:01:32,400 --> 00:01:38,880
+proportional toالتي تنافس بالتقضي تمام to the
+
+15
+00:01:38,880 --> 00:01:42,200
+product of their masses and inversely proportional
+
+16
+00:01:42,200 --> 00:01:45,920
+to the square of the distance between them يعني
+
+17
+00:01:45,920 --> 00:01:51,300
+thus هذا يعني أن قوة الجذب the gravitational force
+
+18
+00:01:51,300 --> 00:01:56,380
+exerted on a particle of mass m1 by another
+
+19
+00:01:56,380 --> 00:01:58,880
+particle of mass m2 is given by
+
+20
+00:02:06,610 --> 00:02:11,970
+مثلًا M1M2 مربع المسافة اللي بينهم وهذا unit
+
+21
+00:02:11,970 --> 00:02:12,410
+vector
+
+22
+00:02:15,080 --> 00:02:21,180
+يكون باتجاه الخط الواصل بين ال two particles تمام
+
+23
+00:02:21,180 --> 00:02:26,220
+R unit vector is a unit vector directed from M1 to
+
+24
+00:02:26,220 --> 00:02:30,540
+M2 and capital G هذه ثاني is called the
+
+25
+00:02:30,540 --> 00:02:34,740
+gravitational constant و ال value تبعته بالسوية 6
+
+26
+00:02:34,740 --> 00:02:39,840
+.67 10 to the power minus 11 في عشر أقسام ب 11
+
+27
+00:02:39,840 --> 00:02:47,180
+كبير ولا صغير هذا صغير صغير يعنيلو إجينا نحسب
+
+28
+00:02:47,180 --> 00:02:51,780
+القوة اللي بينك و بين زميلتك، تشعر فيها أيضًا؟ لأ،
+
+29
+00:02:51,780 --> 00:02:56,860
+لأ ليه؟ لأنها صغيرة كتير يا بنات، ليه؟ لو نحسب هاي
+
+30
+00:02:56,860 --> 00:03:04,620
+F بالساوي هادي 6.7 في عشر أول سنة محتاجة، خلّيني
+
+31
+00:03:04,620 --> 00:03:10,170
+أنتي و زميلتك، كدش وزركم يا بنات؟ متواصلة40 مرة
+
+32
+00:03:10,170 --> 00:03:15,130
+واحدة .. انا بعمل اتجاهية .. دعنا نقول 60 و 50
+
+33
+00:03:15,130 --> 00:03:22,590
+واحدة 61 و واحدة 50 .. ال 60 ثبتت ميحا على .. دعنا
+
+34
+00:03:22,590 --> 00:03:28,710
+نقول 1.2 تربيع .. 1.2 تربيع يعني 20 ساطر منكم ..
+
+35
+00:03:28,710 --> 00:03:31,290
+اجرعوا مع بعض ال TV و لجعلوا اللي قبلك .. لو انا
+
+36
+00:03:31,290 --> 00:03:36,710
+بدي احسن .. هذه عبارة عن 2 في 10 نصالي .. 1 تربيع
+
+37
+00:03:36,710 --> 00:03:43,790
+في 60 ..طيب، الـ60 والـ50 والـ2 هذي بيصير عشرة
+
+38
+00:03:43,790 --> 00:03:49,910
+قصالين سبعة لأن الأربعة مروح من الأحداشر فهذه
+
+39
+00:03:49,910 --> 00:03:54,290
+بتروح وهذه بتروح وهذه بتروح كمان، ستة وخمسة؟
+
+40
+00:03:54,290 --> 00:04:00,570
+تلاتين واربعة، هذي ستة تقريها .. ستة .. سبعة ..
+
+41
+00:04:00,570 --> 00:04:04,990
+أربعة .. حوالي سبعة سبعة في سبعة، نسعة واربيت في
+
+42
+00:04:04,990 --> 00:04:07,230
+الخمسين، إذا الخمسة في عشرة
+
+43
+00:04:11,550 --> 00:04:19,430
+طلعت القوة بينك وبين زميلتك بحسب
+
+44
+00:04:19,430 --> 00:04:22,190
+القوة اللي بينك وبين زميلتك عشان تشوف ليه بتتبسس
+
+45
+00:04:22,190 --> 00:04:28,950
+فيها فاعتبرت انت او زميلتك خمسين و التانية ستينمن
+
+46
+00:04:28,950 --> 00:04:31,730
+المسافة اللى بيبقى عشان ساطمة كده بيتمردكن كده
+
+47
+00:04:31,730 --> 00:04:39,810
+القوة تطلع فنعة حوالى 5 فى 10 أساعد 6 نيوتن جزء من
+
+48
+00:04:39,810 --> 00:04:42,670
+مليون ميلي نيوتن انتوا عشان تحسوا مليون ميلي نيوتن
+
+49
+00:04:42,670 --> 00:04:45,230
+كده تعرفوا كده مليون ميلي نيوتن؟
+
+50
+00:05:10,360 --> 00:05:15,880
+عشان اقولكم ان هذه القوة هي قوة صغيرة جدا مالهاش
+
+51
+00:05:15,880 --> 00:05:19,760
+قيمة إلا إذا كنت تتعامل مع أرض وقمر الأرض كنتتها
+
+52
+00:05:19,760 --> 00:05:26,880
+60 كيلو و القمر كذلكشوفوا عادي، الحكمة الإلهية
+
+53
+00:05:26,880 --> 00:05:31,020
+بوجود احتكام، hub، شفتوا ال air table؟ في
+
+54
+00:05:31,020 --> 00:05:35,520
+المعملات؟ ال hub إنه مطبخه في ال air table، مطبخه،
+
+55
+00:05:35,520 --> 00:05:38,500
+جولكم بتقدروا تحطوا التلاجة بعيد عن الغاز؟
+
+56
+00:05:38,500 --> 00:05:42,320
+بالظروف، بتحطوه في ناس بعيد، ليه؟ لأن بينهم قوة
+
+57
+00:05:42,320 --> 00:05:48,770
+جالدة، معينها صغيرة، ليش؟ لأنه ساعتهاقوة احتكاك
+
+58
+00:05:48,770 --> 00:05:51,850
+هذه .. قوة الجذب هذه الصغيرة تتغلب عن الـ U.S. في
+
+59
+00:05:51,850 --> 00:05:54,490
+الأيام؟ تقدرش تتغلب عن الـ U.S. في الأيام؟ اللي
+
+60
+00:05:54,490 --> 00:05:57,870
+بين التلاجة و المطبخ، صح أو لا؟ وبالتالي التلاجة
+
+61
+00:05:57,870 --> 00:06:00,970
+بيبقى قاعدة جانبها زي ما هي و اللي عمره ما حط ..
+
+62
+00:06:00,970 --> 00:06:06,420
+حط كلمة هنا و خلاها و بيبقى زي ما هيبتطلع على هيك
+
+63
+00:06:06,420 --> 00:06:10,500
+بيلاقيها تغير مكانها بس الحمد لله ان الأرضية عندنا
+
+64
+00:06:10,500 --> 00:06:14,020
+في friction مقدشة أهمية ال friction السيارة بعد
+
+65
+00:06:14,020 --> 00:06:18,060
+كده ال friction الخزانة المحطة بالشحن بيخدها تجل
+
+66
+00:06:18,060 --> 00:06:22,040
+معاه برضه ال friction فال friction إله كتير نيزة
+
+67
+00:06:22,040 --> 00:06:26,240
+وإلا بالرغم من إن هذه القوة صغيرة لكن إلا قيمة لو
+
+68
+00:06:26,240 --> 00:06:31,600
+مافيش قوة تتغلب عليها تظل موجودة و بتأثر تمام إذا
+
+69
+00:06:31,600 --> 00:06:38,650
+أنا بعرف إنه الآن كل كتلكينبينهم قوة جذب كل كتلتين
+
+70
+00:06:38,650 --> 00:06:41,570
+أي إن كانوا صغار أو أكبر القوة كبيرة أو صغيرة
+
+71
+00:06:41,570 --> 00:06:46,830
+بعتمد على الكتل نفسها طيب في الآخر احنا متعامل مع
+
+72
+00:06:46,830 --> 00:06:51,750
+الأرض الأرض مش جذب صغير كتلة كبيرة و احنا نعتبرها
+
+73
+00:06:51,750 --> 00:06:56,890
+غالبا كراوية هي مش كراوية لكن بنعتبرها كراوية بقول
+
+74
+00:06:56,890 --> 00:07:00,690
+the force exerted by any homogeneous sphereكرة
+
+75
+00:07:00,690 --> 00:07:08,770
+متجانسة متجانسة متجانسة
+
+76
+00:07:08,770 --> 00:07:12,330
+متجانسة متجانسة متجانسة متجانسة متجانسة متجانسة
+
+77
+00:07:12,330 --> 00:07:12,330
+متجانسة متجانسة متجانسة متجانسة متجانسة متجانسة
+
+78
+00:07:12,330 --> 00:07:12,330
+متجانسة متجانسة متجانسة متجانسة متجانسة متجانسة
+
+79
+00:07:12,330 --> 00:07:12,690
+متجانسة متجانسة متجانسة متجانسة متجانسة متجانسة
+
+80
+00:07:12,690 --> 00:07:14,450
+متجانسة متجانسة متجانسة متجانسة متجانسة متجانسة
+
+81
+00:07:14,450 --> 00:07:15,510
+متجانسة متجانسة متجانسة متجانسة متجانسة متجانسة
+
+82
+00:07:15,510 --> 00:07:25,970
+متجانسة متجانسة متجانسة متجانسة
+
+83
+00:07:25,970 --> 00:07:31,370
+متجانسة متجكيف بدي أطبّق كل هذه الكورة الأرضية
+
+84
+00:07:31,370 --> 00:07:34,790
+أسهل حالي كيف أعملها؟ وكأنها كُتلة محطوطة في
+
+85
+00:07:34,790 --> 00:07:40,370
+السمطر، هاي كتلتها، تمام؟ وبالتالي بتقول إن هذه
+
+86
+00:07:40,370 --> 00:07:46,930
+المسافة بيصير F بساوي G M على R كتر، إذا لما يكون
+
+87
+00:07:46,930 --> 00:07:50,210
+عندك كورة كبيرة و homogenous و مش هناخد غير ال
+
+88
+00:07:50,210 --> 00:07:53,750
+homogenous، بتعامل هذه الكورة و كأنه كتلتها
+
+89
+00:07:53,750 --> 00:07:57,350
+متمركزة في السمطر، هذا اللي كتبناه
+
+90
+00:08:03,300 --> 00:08:09,940
+The force exerted by the earth من الأرض on a small
+
+91
+00:08:09,940 --> 00:08:14,500
+body عليكي أو على غيرك أو على المحايا أو على الجنب
+
+92
+00:08:14,500 --> 00:08:24,900
+is a distance R from its center is F بتساوي G and
+
+93
+00:08:24,900 --> 00:08:33,550
+E mass of earthواسمه ايه؟ أي جسم على R تربيع R هي
+
+94
+00:08:33,550 --> 00:08:38,730
+المسافة بين الكتلة و مركز الارت تمام بشرط ان الارت
+
+95
+00:08:38,730 --> 00:08:43,930
+تكون برا الارت مش جوا الارت اكبر من من نص بطور
+
+96
+00:08:43,930 --> 00:08:48,190
+الارت where M E and R E is the earth mass and the
+
+97
+00:08:48,190 --> 00:08:53,390
+earth radius respectively تمام شوف واحد ملاحظة
+
+98
+00:08:53,390 --> 00:08:55,710
+اللي حطيتها بيقول لي I'm the center of the earth
+
+99
+00:09:04,120 --> 00:09:08,180
+و بدي أعرف القوة اللي عليك للي بتطلع فيها يعني في
+
+100
+00:09:08,180 --> 00:09:12,360
+المركز بالظبط طب ليش؟ لأن المسافة .. ليش مولدتيه؟
+
+101
+00:09:12,360 --> 00:09:15,580
+عشان المسافة .. لأ .. لأ المسافة .. لأ .. لأ .. لأ
+
+102
+00:09:15,580 --> 00:09:16,040
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+103
+00:09:16,040 --> 00:09:16,040
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+104
+00:09:16,040 --> 00:09:16,340
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+105
+00:09:16,340 --> 00:09:16,640
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+106
+00:09:16,640 --> 00:09:16,820
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+107
+00:09:16,820 --> 00:09:22,580
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+108
+00:09:22,580 --> 00:09:28,800
+.. لأ
+
+109
+00:09:30,410 --> 00:09:34,310
+هذه الكورة العربية يا بنات هذي كلها مليانة صحيح؟
+
+110
+00:09:34,310 --> 00:09:38,430
+بقول هنا هذي نبحث .. عشان مافيش مسافة يعني مافيش
+
+111
+00:09:38,430 --> 00:09:43,630
+مسافة بس من النهاية حطوا هنا قانون 6 عشان كده جدك
+
+112
+00:09:43,630 --> 00:09:47,270
+القانون هذا لا ينطبق إلا إذا كانت كتلة برا طلعوا
+
+113
+00:09:47,270 --> 00:09:51,770
+علي يا بنات هكذا الكورة متماثلة ولا لا؟ نشوف السفر
+
+114
+00:09:51,770 --> 00:09:57,890
+تقدروا تقولوا في هنا كتلة و هنا كتلة هذي جزء من
+
+115
+00:09:57,890 --> 00:09:58,670
+الكورة العربية و هذي جزء
+
+116
+00:10:11,530 --> 00:10:15,730
+تنجز ال game .. تنجز ال game بما انه في الشكل
+
+117
+00:10:15,730 --> 00:10:19,630
+القراوي في عندك كتلات هنا بتساوي الكتلات اللي هنا
+
+118
+00:10:19,630 --> 00:10:24,130
+و كتلات ها بتساوي كتلات ها إذا كل القوة cancel
+
+119
+00:10:24,130 --> 00:10:28,670
+each other تلتغي فبصير ال net force بتساوي zero
+
+120
+00:10:28,670 --> 00:10:32,370
+عشان كده كان في دايما لغز زياهي بيقولوا التاني
+
+121
+00:10:37,360 --> 00:10:41,220
+وحطت جسم بيبقى رايح جاي رايح جاى رايح جاى بيشتغل
+
+122
+00:10:41,220 --> 00:10:44,180
+simple harmonic motion لأن هنا القوة صفر اصلا
+
+123
+00:10:44,180 --> 00:10:47,740
+القوة هنا صفر و بيبقى رايح جاى زي الزنبرة اصلا
+
+124
+00:10:47,740 --> 00:10:52,800
+تمام؟ اذا معناته ليش صفر؟ بيقول لأن القوة كلها
+
+125
+00:10:52,800 --> 00:10:57,760
+بتلغي بعضها القوة كلها بتلغي بعضها لأن الجسم عند
+
+126
+00:10:57,760 --> 00:11:02,900
+الcenter محارط بعدد من الكتل متساوية من جميع
+
+127
+00:11:02,900 --> 00:11:05,380
+الجهات وكل واحد بيكسب نحيته
+
+128
+00:11:20,260 --> 00:11:24,200
+سحب اللي لأ؟ لأنه هنا هذا ملغي جزء لكن مضال اللي
+
+129
+00:11:24,200 --> 00:11:28,300
+تحت مضال الشيء تمام؟ انا جاي في النص اللي فوق ملغي
+
+130
+00:11:28,300 --> 00:11:31,980
+اللي تحت والعالمين ملغي عشبان اما لما يكون فوق
+
+131
+00:11:31,980 --> 00:11:35,480
+ملغي اللي تحت لو كانت هنا ملغي اللي فوق حسب مين
+
+132
+00:11:35,480 --> 00:11:42,880
+أكبر بيزب صحيح ولا لا؟ تمام؟
+
+133
+00:11:42,880 --> 00:11:49,100
+نكمل
+
+134
+00:11:51,280 --> 00:11:54,440
+بقول الان الـ Newton's second law مش بيضله سهر
+
+135
+00:11:54,440 --> 00:11:57,580
+المفقول بقوله أه الأصلي بيضله سهر المفقول إيش
+
+136
+00:11:57,580 --> 00:12:02,180
+بيقول؟ بيقول F بيساوي MA مجموع القوة تمام؟ خلّينا
+
+137
+00:12:02,180 --> 00:12:05,160
+نشوف واحدة واحدة بيقولي F اللي تاوي قلت عنها
+
+138
+00:12:05,160 --> 00:12:09,680
+بيساوي capital G كتلة الجسم كتلة الأرض على R تربيع
+
+139
+00:12:09,680 --> 00:12:12,940
+مظبوط على .. هذيك بدي اعتبر الجسم على السطح تماما
+
+140
+00:12:12,940 --> 00:12:16,980
+على السطح تماما جديش المسافة بينه والنص المركز
+
+141
+00:12:16,980 --> 00:12:23,430
+الكورة الأرضيةRA طب هو بيقول بيساوي MA للي MG بقدر
+
+142
+00:12:23,430 --> 00:12:28,490
+أجيب من هنا G ولا لأ؟ أو بقدر أجيب كتلة الأرض؟ إذا
+
+143
+00:12:28,490 --> 00:12:35,070
+بقدر أقول هاي G صحيح؟ أو بقدر أجيب MA؟ قولكم لما
+
+144
+00:12:35,070 --> 00:12:38,950
+حكتبيني في الكتاب كده كتلة الأرض؟ جابوا القرار دي
+
+145
+00:12:38,950 --> 00:12:43,050
+وحطوها على جبان ووزنوها؟ إذا كيف عملوها؟ حسبوها
+
+146
+00:12:43,050 --> 00:12:47,750
+عساءإذا حسبوها حساب فهي كتلة الأرض طلعوا ما .. ما
+
+147
+00:12:47,750 --> 00:12:54,490
+خفها كرة .. كرة الأرضية 6 في 10 أُس 24 كيلو جرام
+
+148
+00:12:54,490 --> 00:12:58,430
+طبعا واحد يقول كيف هدول عملوها؟ طب و ناس بتمود و
+
+149
+00:12:58,430 --> 00:13:03,790
+ناس بتحيا كل يوم و غزة انهدت و خفت و زادت يعني لكن
+
+150
+00:13:03,790 --> 00:13:09,270
+هي تقريبا .. تقريبافهذه هي كتلة الكرة الأرضية
+
+151
+00:13:09,270 --> 00:13:14,050
+حسبها من هنا جي .. اتطلعوا إيش بالساوية جي؟ جي
+
+152
+00:13:14,050 --> 00:13:18,230
+كتلة الأرض على نص كترة الأرض بس هذي جي وين؟ اعتبرت
+
+153
+00:13:18,230 --> 00:13:21,690
+الجسم وين أنا؟ على السطح طب لو ماكانش على السطح،
+
+154
+00:13:21,690 --> 00:13:25,410
+بدي أتغير هذه، بدي أصيب هذه مسافة غيرها، بدي أضيف
+
+155
+00:13:25,410 --> 00:13:29,550
+لها ارتفاع الجسم عن الكرة الأرضية، عن سطح الأرض،
+
+156
+00:13:29,550 --> 00:13:37,300
+صح ولا لأ؟ قعدنا نشوف شي هذي؟هذه المسافة بين الجسم
+
+157
+00:13:37,300 --> 00:13:41,300
+ومركز الأرض نصف قطر الأرض طب هبقى إنه مش على السطح
+
+158
+00:13:41,300 --> 00:13:45,020
+إيش بده أضيف كمان؟ الارتفاع بده أضيف الارتفاع
+
+159
+00:13:45,020 --> 00:13:52,400
+احكيه حسب نصف قطرة سهل حسابها في إشعاعات بتحسبها
+
+160
+00:13:52,400 --> 00:13:57,120
+بالدقة الآن الحسابات للإشعاعات بتحسبها بالدقة
+
+161
+00:13:57,120 --> 00:14:00,600
+وطبعا هذه زمان حسبوها بالإشعاعات هرجيت فيه أسهل
+
+162
+00:14:00,600 --> 00:14:08,010
+القمر الصناعي بيجيبها على قول سهولة كتيرتمام بيقول
+
+163
+00:14:08,010 --> 00:14:11,210
+if the body is a distance H above the earth
+
+164
+00:14:11,210 --> 00:14:15,090
+surface نفترض إن الجسم مش على السطح زي هي جبنة هي
+
+165
+00:14:15,090 --> 00:14:21,630
+الكلة الأرضية هجت هنا سطح الجسم هنا على جبله يرتفع
+
+166
+00:14:21,630 --> 00:14:28,360
+عن سطح الأرض بمسافة معينة Hبقول نفس التطبيق بدل ما
+
+167
+00:14:28,360 --> 00:14:32,200
+اقول capital R بقول small r و small r هو البعد من
+
+168
+00:14:32,200 --> 00:14:37,340
+مركز الأرض لهنا مش بيساوي نص قطر زي اتش بس ايه
+
+169
+00:14:37,340 --> 00:14:42,200
+اللي بدي اعمله بدي اضيف ال R تبعتي صارت F بيساوي
+
+170
+00:14:42,200 --> 00:14:47,980
+capital G M E كتلة الأرض M كتلتي نص قطر زي اتش
+
+171
+00:14:47,980 --> 00:14:51,840
+تربية سوى M في التسارع بس هالتسارع مش اللي على
+
+172
+00:14:51,840 --> 00:14:56,330
+السطح التسارع الجديد الـG شرطةطلعوني جي شرطة من
+
+173
+00:14:56,330 --> 00:15:01,190
+هذه المعادلة هتشوف
+
+174
+00:15:01,190 --> 00:15:06,670
+.. هنشوف .. طلعوا كل ما هذه زادت هذه بتجل ولا لأ؟
+
+175
+00:15:06,670 --> 00:15:13,170
+كل ما هذه زادت كل ما هذه جلت إذا معناته لو في غزة
+
+176
+00:15:13,170 --> 00:15:20,210
+جي 9.8 في رمال الله نفس المقدارانت بتعرف انه رمال
+
+177
+00:15:20,210 --> 00:15:23,710
+عالي ولا لا؟ ماتبتسموها مصر فلسطين؟ ليش؟ لأنه ع
+
+178
+00:15:23,710 --> 00:15:30,750
+جبال تمام؟ اذا كل مهادي زادت بجيبت جيل وبالتالي
+
+179
+00:15:30,750 --> 00:15:36,170
+على قمة إفريست ممكن تصل ل تمانية جيل لأنها عالية
+
+180
+00:15:36,170 --> 00:15:42,630
+جدا في أريحةمن 9 إلى 10؟ بتزيد عشان كده في أسئلة
+
+181
+00:15:42,630 --> 00:15:47,810
+هتشوفوها مكررة نقول لو كانت في غزة 9.8 أقولكم في
+
+182
+00:15:47,810 --> 00:15:52,590
+قريحة عاجي إيديش هتكون 9.8 ولا 9.6 ولا 10؟ عشرة!
+
+183
+00:15:52,610 --> 00:15:56,370
+هيكون أكتر المهم طبعا عشرة ولا 9.9 المهم أكتر،
+
+184
+00:15:56,370 --> 00:16:01,630
+تمام؟ إذن الآنلأ، بيحط الكيشة، هو يعني بيحط الكيشة
+
+185
+00:16:01,630 --> 00:16:07,510
+عشان يغلبك تمام Therefore, she decreases with
+
+186
+00:16:07,510 --> 00:16:12,270
+increasing altitude كل ما ارتفع الارتفاع كل ما
+
+187
+00:16:12,270 --> 00:16:16,110
+كانت جاذبية الأرض بتقل وهذا الكلام اللي حكيته زمان
+
+188
+00:16:16,110 --> 00:16:19,750
+إن الواحد لو أخد ميزان وراه ع رمالة بفرح شوية،
+
+189
+00:16:19,750 --> 00:16:23,790
+بلاقي حاله عامل رجيم لحاله بدون إشي ولو راح على
+
+190
+00:16:23,790 --> 00:16:27,550
+ريحة، بكشربقول ايش اللي حصل .. اللي صار فيا؟ كم
+
+191
+00:16:27,550 --> 00:16:34,360
+كيلو؟ الذئب تمامخلّينا نحلها المثال، هذا مثال بسيط
+
+192
+00:16:34,360 --> 00:16:39,640
+جدا بيقولي two bodies of mass ستين كيلو جرام and
+
+193
+00:16:39,640 --> 00:16:42,980
+eighteen كيلو جرام ولا واحدة فيكم، تمانين الستين
+
+194
+00:16:42,980 --> 00:16:46,340
+ممكن تكون واحدة فيكم، التمانين أنا، تمام are
+
+195
+00:16:46,340 --> 00:16:50,220
+placed two meters apart are placed two meters
+
+196
+00:16:50,220 --> 00:16:53,840
+apart calculate the gravitational force exerted by
+
+197
+00:16:53,840 --> 00:16:56,580
+one body on the other بيقولي حسبلي القوة اللي انا
+
+198
+00:16:56,580 --> 00:16:59,340
+حسبتها أنا وياكم اللي قلتلي مش عارفين إيش بتخبص
+
+199
+00:16:59,340 --> 00:17:04,760
+هنا خلّيني نحسبهايقول ياف بساوية capital G M1 M2
+
+200
+00:17:04,760 --> 00:17:11,220
+على R تربيع ضربت هذا جبته و يعطى 60 في 80 على ..
+
+201
+00:17:11,220 --> 00:17:15,950
+طبعا المسافة زودتها 2 مترفتح التمانية في عشر أقل
+
+202
+00:17:15,950 --> 00:17:20,870
+سالب تمانية نيوتن You already مجلها هذه هي مقدار
+
+203
+00:17:20,870 --> 00:17:26,290
+القوة اللي بينك وبين زميلتك في عشر أقل سالب تمانية
+
+204
+00:17:26,290 --> 00:17:30,890
+يعني السلب تمانية جزء من مائة مليون جزء من مائة
+
+205
+00:17:30,890 --> 00:17:34,770
+مليون لأن السلب ستة مليون السلب تمانية مائة مليون
+
+206
+00:17:34,770 --> 00:17:39,210
+واحنا شوفنا ان نيوتن أصلا خفيف فكيف اللي جزء من
+
+207
+00:17:39,210 --> 00:17:44,450
+مائة مليون يعتبر Zeroبتجرب على Zero في بعض الأرقام
+
+208
+00:17:44,450 --> 00:17:47,390
+أنتوا لما تشوفوها بتكون في عشر أقل سنة بكتيرة في
+
+209
+00:17:47,390 --> 00:17:50,650
+ال calculator لو حاططوها بتكفيش أسفار لو أحد بدى
+
+210
+00:17:50,650 --> 00:17:55,410
+يكتبها O point و يضل يواصل مالاجيهاش مافيش
+
+211
+00:17:55,410 --> 00:17:59,470
+calculator بيجيبها فبعتبرها Zero فهذه قوة كتير
+
+212
+00:17:59,470 --> 00:18:05,260
+صغيرة كمان مثلابيقول لي three bodies of mass two
+
+213
+00:18:05,260 --> 00:18:08,560
+kilogram اربع كيلو جرام and ستة كيلو جرام are
+
+214
+00:18:08,560 --> 00:18:12,400
+arranged as shown قال لي لما قلتلك هالتلت قوة هيك
+
+215
+00:18:12,400 --> 00:18:17,980
+طيب ايش بده؟ calculate the total force acting on
+
+216
+00:18:17,980 --> 00:18:20,400
+the two kilogram mass by the other two masses
+
+217
+00:18:20,400 --> 00:18:26,360
+بيقوللي هذهبينها قوة جذب و عليها قوة جذب ولا لأ؟
+
+218
+00:18:26,360 --> 00:18:29,500
+طيب هي بيتجذبها جسم ولا جسمين؟ جسمين .. جسمين ..
+
+219
+00:18:29,500 --> 00:18:33,920
+جسمين و ساتر .. إذا أيا كان فرص عليها تنتهي القوة
+
+220
+00:18:33,920 --> 00:18:37,400
+الإجمالية مش جامعة بس أنا بجمع vectors ولا scalar؟
+
+221
+00:18:37,400 --> 00:18:39,560
+vectors .. vectors .. vectors من هناك بيه؟ مش تطلع
+
+222
+00:18:39,560 --> 00:18:42,740
+هذه خمسة و هذه تلاتة تقولوا تمانية؟ لأ .. لأ .. لأ
+
+223
+00:18:42,740 --> 00:18:43,700
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+224
+00:18:43,700 --> 00:18:43,700
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+225
+00:18:43,700 --> 00:18:45,980
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+226
+00:18:45,980 --> 00:18:50,280
+لأ .. لأ .. لأ .. لأ .. لبيقوللي M1 is acted upon
+
+227
+00:18:50,280 --> 00:18:58,960
+بيأثر عليها by two forces هذا جذب هيك جذب هذه أف
+
+228
+00:18:58,960 --> 00:19:04,780
+واحد تنين واحد من اتنين وهذه واحدة تلاتة صحيح هيك
+
+229
+00:19:04,780 --> 00:19:08,240
+ولا لأ؟ إذا زي ما قالت أصدقائكم واحدة صينية وواحدة
+
+230
+00:19:08,240 --> 00:19:14,310
+صعبية تمام هذي تخليني أجيب واحدة الأولىأم واحد ام
+
+231
+00:19:14,310 --> 00:19:17,610
+اتنين هذه واحد واتنين ام واحد ام اتنين على ار
+
+232
+00:19:17,610 --> 00:19:24,210
+تربيع وحطيت I شايفين اتجاه I تعويض هذه اتنين وهذه
+
+233
+00:19:24,210 --> 00:19:27,630
+اربعة اتنين في اربعة جدش المزابر بينهم اتنين
+
+234
+00:19:27,630 --> 00:19:31,310
+ربعتها طلعت بال calculator طلعت one point thirty
+
+235
+00:19:31,310 --> 00:19:34,630
+three في عشرة وصالة عشرة نيوتين طبعا قوة صغيرة لكن
+
+236
+00:19:34,630 --> 00:19:39,280
+موجودةطيب التانية قال لي هي التانية واحد و تلاتة
+
+237
+00:19:39,280 --> 00:19:43,540
+جي ام واحد ام تلاتة على ار واحد تلاتة تربيع باتجاه
+
+238
+00:19:43,540 --> 00:19:49,060
+الـ J شايفين كيف الاتجاه؟ روح اتعوضت هذه زي ما هي
+
+239
+00:19:49,060 --> 00:19:54,820
+هذه اتنين وهذه كم؟ ستة كم المسافة؟ واحد ربحها
+
+240
+00:19:54,820 --> 00:20:01,000
+طلعتها طيب كم هو القوة الكلية؟ تمام مرة اي ما يصير
+
+241
+00:20:01,000 --> 00:20:03,960
+تسعة و تلاتة؟ لأ فبعملها
+
+242
+00:20:06,980 --> 00:20:10,680
+فاكتبها هيك بدي المدينة و بدي المدينة صحيح ولا لا
+
+243
+00:20:10,680 --> 00:20:18,460
+تمام كمان مثال بيقولي find the magnitude of the
+
+244
+00:20:18,460 --> 00:20:22,460
+acceleration due to gravity بدي عجلة الجاذبية
+
+245
+00:20:22,460 --> 00:20:27,020
+الأرضية at an altitude of one hundred kilometer
+
+246
+00:20:27,020 --> 00:20:33,360
+جالي طلعت على جبل ارتفاعه من أعلى جبل في الصينالله
+
+247
+00:20:33,360 --> 00:20:37,320
+هيكوا محافظين من المدارس في الريم صحيح وين واقع؟
+
+248
+00:20:37,320 --> 00:20:42,660
+في قصد هناك لأ .. اوه عند حيفا في الشمال هناك
+
+249
+00:20:42,660 --> 00:20:47,780
+حيفا؟ اه عند حيفا من مدينة جاملة جليب؟ جليب بالظبط
+
+250
+00:20:47,780 --> 00:20:50,940
+عايزكم اه انا حاسدكم قولت bra عليكم و بعدين
+
+251
+00:20:50,940 --> 00:20:56,080
+خربحتوا في الجدس جبال و قدس بيسموها غالبا و نابليس
+
+252
+00:20:56,080 --> 00:21:01,890
+ايش جبالها المشهورة؟ ديورزاليم و عبالماشي كنتوا
+
+253
+00:21:01,890 --> 00:21:06,530
+تاخدوها في المدارس هذا؟ سنة! بالانتجارية! تمام!
+
+254
+00:21:07,350 --> 00:21:13,030
+بدي أشوف يا بنات، هجيت على ارتفاع 100 كيلومتر، عم
+
+255
+00:21:13,030 --> 00:21:16,070
+بتوقع جيه قلو ولا لأ؟ بدي أحسبها بالظبط، طوّع أنا
+
+256
+00:21:16,070 --> 00:21:21,650
+جيبت القانون، قولت G بساوي capital G، كتلة الأرض،
+
+257
+00:21:21,650 --> 00:21:26,630
+على نص كتر الأرض زائد H، H هذي مية، طبعا 100
+
+258
+00:21:26,630 --> 00:21:29,750
+كيلومتر، بدي أحولها لمكر، بدي أضربها في ألف، صحيح؟
+
+259
+00:21:30,230 --> 00:21:36,470
+قال لي هادي بديكي إياها كتلة الأرض بديكي إياها نصف
+
+260
+00:21:36,470 --> 00:21:39,930
+كتلة الأرض برضه بعطيكي إياها ممكنش تحفظه بس بدنا
+
+261
+00:21:39,930 --> 00:21:43,370
+أكشفه و أكشفه و مديكي إياها حولتها لواحد في عشرة و
+
+262
+00:21:43,370 --> 00:21:46,370
+أص خمسة ضربتها عشرة و أص ثلاثة قال لي إيش بده على
+
+263
+00:21:46,370 --> 00:21:49,590
+الشغل كالكلية طلعت تسعة و نص ما طلعتش تسعة و
+
+264
+00:21:49,590 --> 00:21:54,430
+تمانية أنا متوقعها تطلع عقل من تسعة و نص إذن هذا
+
+265
+00:21:54,430 --> 00:21:58,570
+موضوع سهل جدا كل كتلتين بينه قوة جاذب ويلهم قانون
+
+266
+00:21:58,570 --> 00:22:05,190
+عام و السلامطيب، إيش الرسمة هذه؟ شفتوها قبل كده؟
+
+267
+00:22:05,190 --> 00:22:12,760
+قمر صناعي طب عن القمربيلف حوالين الأرض صحيح ولا
+
+268
+00:22:12,760 --> 00:22:18,940
+لأ؟ روحوا فكروا الناس قالوا هو القمر حجه زيادة عن
+
+269
+00:22:18,940 --> 00:22:23,080
+أي جسم؟ لأ، قالوا بنعمل جمار فعمله جمار صار مو
+
+270
+00:22:23,080 --> 00:22:26,780
+جمار صناعية لإن الناس اللي عملتها، هذا يعني القمر
+
+271
+00:22:26,780 --> 00:22:33,360
+ربنا عمله، ربنا خلقه وطبعا الظاهرة تبعت الأشهر
+
+272
+00:22:33,360 --> 00:22:38,320
+القمرية وكل هذه الأمور بتعرفوها طيب، هذا القمر
+
+273
+00:22:38,320 --> 00:22:44,280
+عشان يدلوا يلفإيش بدوه؟ كان ولا حاجة مزال ربنا
+
+274
+00:22:44,280 --> 00:22:49,860
+خلّى قوة الجذب بين أجيسمين إذا حُطت أي كتلة حنج
+
+275
+00:22:49,860 --> 00:22:53,080
+الأرض حوالين الأرض بصير ترفح حوالين الأرض ليه؟
+
+276
+00:22:53,080 --> 00:22:56,700
+لأنه بصير في قوة الجذب وهو دي قوة الجذب قوة مركزية
+
+277
+00:22:56,700 --> 00:23:01,560
+مزال في قوة مركزية دار الجسم صحيح ولا لأ؟ إذا هذا
+
+278
+00:23:01,560 --> 00:23:07,240
+هو الـSatellite motionحركة المقلوف .. الأقمار
+
+279
+00:23:07,240 --> 00:23:10,460
+الصناعية .. طبعا الأقمار الصناعية يا بنات أنتوا
+
+280
+00:23:10,460 --> 00:23:14,800
+بتعرفوها من إيش؟ بتعرفوها من التلفزيون .. نايلسات
+
+281
+00:23:14,800 --> 00:23:18,040
+و عربسات و يوتلسات و كل هذه الشغلات تقادي .. صحيح
+
+282
+00:23:18,040 --> 00:23:22,820
+ولا لا؟ طبعا الأقمار الصناعية أول ما طلعت .. طلعت
+
+283
+00:23:22,820 --> 00:23:26,770
+في السابعة و خمسينالف وتسعمية و سبعة و خمسين شوفوا
+
+284
+00:23:26,770 --> 00:23:31,550
+جديش قبل ما يولد أبوك وأمك يمكن مرات صحيح؟ من زمان
+
+285
+00:23:31,550 --> 00:23:36,030
+موجودة و طبعا أول ما استخدموها ما استخدموها عشان
+
+286
+00:23:36,030 --> 00:23:40,790
+التلفاز استخدموها لأمور عسكرية دائما الأمور بتكون
+
+287
+00:23:40,790 --> 00:23:44,310
+سرية بعد كده لقوا فيها أحسن منها ادوها للناس
+
+288
+00:23:44,310 --> 00:23:45,310
+يستخدموها
+
+289
+00:23:47,380 --> 00:23:51,600
+للاتصالات والبث التلفزيوني والتليفونات والراديوهات
+
+290
+00:23:51,600 --> 00:23:55,880
+وصارت الأمور كتير سلسة زي ما احنا بنعرف أو لو
+
+291
+00:23:55,880 --> 00:23:59,680
+سألتوا أهاليكم زمان كان الواحد لما بديه يتصل على
+
+292
+00:23:59,680 --> 00:24:02,700
+أردن و لا على مصر و لا على أمريكا يعمل قصة طويلة
+
+293
+00:24:02,700 --> 00:24:06,320
+عريضة إيش اللي وصلوا هناك صحيح ولا لأ؟ و بعدين إذا
+
+294
+00:24:06,320 --> 00:24:10,640
+كانت لت جيجا في غزا سعرها ربع شكل بديه يتصل في مصر
+
+295
+00:24:10,640 --> 00:24:14,880
+بيحط عشرين شكلكانت مكلفة جداً هلجيت صارت فش أسن
+
+296
+00:24:14,880 --> 00:24:19,060
+منها و أكتش انتشرت لما صار فيه قمر صناعي و صار في
+
+297
+00:24:19,060 --> 00:24:22,680
+عنده أقمار صناعية خاصة بالاتصالات مائة ألف نوع
+
+298
+00:24:22,680 --> 00:24:26,040
+أقمار صناعية و اللي بيهمنا احنا الأقمار الصناعية
+
+299
+00:24:26,040 --> 00:24:28,200
+اللي بيشوفها كل يوم اللي هو خلينا نقول الـ Nile
+
+300
+00:24:28,200 --> 00:24:31,440
+Sat اللي مشهور عندنا كتير الـ Nile Sat الـ Nile
+
+301
+00:24:31,440 --> 00:24:38,960
+Sat انتوا بتبطلعوا دائما انه كل الدشات على أسطورة
+
+302
+00:24:38,960 --> 00:24:43,860
+كيف تتوجه؟ شمال ولا جنوب؟جنوب .. جنوب .. شمال ..
+
+303
+00:24:43,860 --> 00:24:48,060
+هو كيف شمالنا احنا؟ شمالنا بتحنون .. بتودع .. روح
+
+304
+00:24:48,060 --> 00:24:51,180
+.. روح فوق على دارك و تشوف وين بتتوجه هدا .. بتروح
+
+305
+00:24:51,180 --> 00:24:56,200
+جنوب لأنه كل الأقمار الصراعية بتلف حوالين خط
+
+306
+00:24:56,200 --> 00:24:59,180
+الاستواك .. هكذا لو روحنا على جنوب أفريقيا
+
+307
+00:24:59,180 --> 00:25:04,040
+بيلاجيهم راح شمال .. احنا عشان في الجزء الشمالي ..
+
+308
+00:25:04,040 --> 00:25:11,320
+ليش؟أحنا النوع اللي بنستخدمه للبث تلفزيوني بسموه
+
+309
+00:25:11,320 --> 00:25:15,920
+Geostatic Satellites Geostatic ليش؟ بقولك أنا بدي
+
+310
+00:25:15,920 --> 00:25:20,260
+هذا القمر يدور حوالي الأرض بنفس سرعة دوران الأرض
+
+311
+00:25:20,260 --> 00:25:25,340
+حوالي نفسها لو هذا ماصارش كان أنا كل يوم الصبح بدي
+
+312
+00:25:25,340 --> 00:25:29,240
+أطلع على السطح و أغلى و أغير دشي ليش؟ لأنه أنا بلف
+
+313
+00:25:30,440 --> 00:25:35,080
+مصبوط؟ وبالتالي أنا بوجهه نحو القمر الصناعي إذا
+
+314
+00:25:35,080 --> 00:25:40,820
+أنا لفيت التوجه هيتغير فلازم حركة الأرض مع حركة
+
+315
+00:25:40,820 --> 00:25:46,060
+القمر تكون متساوية إذا لازم يلف القمر الصناعي بنفس
+
+316
+00:25:46,060 --> 00:25:50,580
+سرعة دوران الأرض حوالي نفسها وإلا بدي أضطر كل يوم
+
+317
+00:25:50,580 --> 00:25:54,700
+أغير توجيه دشي حسب القمر الصناعي إذا لازم يكون
+
+318
+00:25:54,700 --> 00:25:58,640
+القمر الصناعي بالنسبالي يكون ساكنلازم نجعل الناس
+
+319
+00:25:58,640 --> 00:26:03,360
+نسبية عشان يكون ساكن وقتاش انت وزميتك في سيارة
+
+320
+00:26:03,360 --> 00:26:06,480
+تانية بتطلعوا على بعض و بتكونوا زي بعض، اذا نفيدوا
+
+321
+00:26:06,480 --> 00:26:10,080
+نفس الصراعة، اذا لازم القمر الصناعي يلف حوالين
+
+322
+00:26:10,080 --> 00:26:14,940
+الأرض بنفس سرعة الأرض حوالين نفسها، هذا بيسموه
+
+323
+00:26:14,940 --> 00:26:18,400
+Geostatic Satellites وكل الأقمار الصناعية اللي
+
+324
+00:26:18,400 --> 00:26:20,580
+بيستخدموها هم نجعوا في هذه الشغلات هذه، بس ايه،
+
+325
+00:26:20,580 --> 00:26:23,910
+هذه الشغلات مارح يعنيأحنا المهم أن هذه أنواع الـ
+
+326
+00:26:23,910 --> 00:26:28,310
+Geosatellites نحن بهمنا الحركة الفيزيائية تبعتها
+
+327
+00:26:28,310 --> 00:26:35,790
+نحن بهمنا الحركة الفيزيائية تبعت الأقمار هذا ..
+
+328
+00:26:35,790 --> 00:26:43,070
+هذا ..في النهاية انت تلفزيون تبعك تستخدم موجات إذا
+
+329
+00:26:43,070 --> 00:26:47,010
+كان ذبذبت الطيران تشبه الذبذبة اللي تحديها، بتصير
+
+330
+00:26:47,010 --> 00:26:51,090
+فيه تغيير، تمام؟ عشان كده في بعض الذبذبات، في بعض
+
+331
+00:26:51,090 --> 00:26:54,030
+محطات بتأثر و بعض محطات ماتأثرش، بحسب الذبذبات
+
+332
+00:26:54,030 --> 00:26:58,170
+اللي موجودة وحتى ال receivers مختلفة و HD و مش HD
+
+333
+00:26:58,170 --> 00:27:04,350
+فهذه إيها دعوة بالـالموجات الكهرومنطية اللي بتجيب
+
+334
+00:27:04,350 --> 00:27:07,970
+.. بتنقل الصورة .. بتنقل الباب تمام الـ satellite
+
+335
+00:27:07,970 --> 00:27:12,390
+is an object orbiting around the earth إذا هو أي
+
+336
+00:27:12,390 --> 00:27:16,450
+جسم بيلف حول الأرض بيسمي satellite القمر الصناعي
+
+337
+00:27:16,450 --> 00:27:21,110
+هذا هو اللي اتفقنا عليه هيو بيلف تمام in satellite
+
+338
+00:27:21,110 --> 00:27:25,220
+motion في حركة ال satelliteالقوة المركزية بين
+
+339
+00:27:25,220 --> 00:27:30,900
+السيتيلات والأرض هي القوة المركزية تمام بيقول هي
+
+340
+00:27:30,900 --> 00:27:34,820
+الفيزيا تبعتي F R بيساوي M V تربيع على R في اختلاف
+
+341
+00:27:34,820 --> 00:27:40,320
+هذا اللي كل شغلتنا فيههذه هي القوة ما بين الـ
+
+342
+00:27:40,320 --> 00:27:43,880
+Satellite و الأرض capital G small m capital M على
+
+343
+00:27:43,880 --> 00:27:48,280
+R تربيع بسوء أن B تربيع الـ A هذه M مع M راحت هذه
+
+344
+00:27:48,280 --> 00:27:53,040
+كتلة الـ Satellite يا بنات وهذه كتلة الأرض هذه R
+
+345
+00:27:53,040 --> 00:27:57,580
+بعد الـ Satellite عن مركز الأرض نصف قطر مدار الـ
+
+346
+00:27:57,580 --> 00:28:00,740
+Satellite نصف قطر مدار الـ Satellite احنا بنقول
+
+347
+00:28:00,740 --> 00:28:06,040
+إنه مدار الـ Satellite صحيح؟ وهو البعد من هنا لها
+
+348
+00:28:06,040 --> 00:28:11,020
+صحيح؟Where M is the mass of the satellite and R is
+
+349
+00:28:11,020 --> 00:28:15,860
+the radius of the satellite orbit مدار الستيلايت
+
+350
+00:28:15,860 --> 00:28:20,000
+Solving for Vega ليه بالسرعة؟ بليه بالسرعة هذا هي
+
+351
+00:28:20,000 --> 00:28:25,160
+سرعة الستيلايت بكون انا عارف ال orbit جديش بكون له
+
+352
+00:28:25,160 --> 00:28:30,140
+أبعاد معينة طبعا انتوا بتعرفوا انه في حوالي أكتر
+
+353
+00:28:30,140 --> 00:28:36,860
+من 6000 ستيلايت في الجوواللي شغال حوالي ألف اللي
+
+354
+00:28:36,860 --> 00:28:40,780
+شغال فعلا والباقية طبعا خلاص بيرموه وين بروح؟ في
+
+355
+00:28:40,780 --> 00:28:43,680
+زبالة .. في الفضاء .. في زبالة مالهم مش جاعة فيه
+
+356
+00:28:43,680 --> 00:28:48,960
+اللي .. طبعا .. لإن في بعضهم خلاص يفقد أو يبطل ..
+
+357
+00:28:48,960 --> 00:28:53,060
+جدين يعني .. جدين فبجيهم يصحبوه ويقول خلّي .. خلّي
+
+358
+00:28:53,060 --> 00:28:57,520
+أفهم إيش ما سير سير بس في حوالي ألف satellite شغال
+
+359
+00:28:57,520 --> 00:29:04,130
+فاعل موجودThe period طبعا الزمن الدوري بقدر أجيبه
+
+360
+00:29:04,130 --> 00:29:15,110
+ال Geostatic
+
+361
+00:29:15,110 --> 00:29:19,940
+satellites areأما في تعوين العسكريين و تعوين
+
+362
+00:29:19,940 --> 00:29:24,360
+الطيران و تعوين الحالات الجوية الجو غير انهم مش
+
+363
+00:29:24,360 --> 00:29:28,120
+يستطيعون .. مش مش ضرورة يكون ثابت فاهمت عليها؟ لكن
+
+364
+00:29:28,120 --> 00:29:33,740
+كل تعوين الاتصالات لهم نفس المدار تقريبا ولكن طبعا
+
+365
+00:29:33,740 --> 00:29:40,460
+بالصدموش البعض كل واحد له شغل معين تمامهذه ليست
+
+366
+00:29:40,460 --> 00:29:43,620
+مهمة المثال الأخير بس عشان نخلص الشطر أنا فيه
+
+367
+00:29:43,620 --> 00:29:47,340
+مشوار بختكم بده أخلص بدري عشان كده بيستعجلوني
+
+368
+00:29:47,340 --> 00:29:54,890
+جاعدينيقول الـ F1 يرغب في وضع ستيلايت التعامل
+
+369
+00:29:54,890 --> 00:29:58,570
+بالإتصال
+
+370
+00:29:58,570 --> 00:30:03,410
+بالإنشاء الله نكون فلسطين ساتر نطلع بإذن تعالى
+
+371
+00:30:03,410 --> 00:30:08,110
+into a circular orbit of radius 6800 كم وهذا
+
+372
+00:30:08,110 --> 00:30:11,990
+تقريبا أغلبهم هيك ارتفاعهم تعون للستيلايت اللي
+
+373
+00:30:11,990 --> 00:30:16,310
+احنا تعونناWhat must be its speed and its period؟
+
+374
+00:30:16,310 --> 00:30:19,350
+جدّي السرعتها والزمن الدوري؟ طبعا الزمن الدوري يا
+
+375
+00:30:19,350 --> 00:30:26,330
+بنات هو مسافة المحيط على السرعة لأنه زمن ومسافة
+
+376
+00:30:26,330 --> 00:30:27,830
+الدورة هو المحيط
+
+377
+00:30:30,950 --> 00:30:36,750
+V بيساوي GME هذا القانون موجود بطلعه فهي سرعته 7
+
+378
+00:30:36,750 --> 00:30:43,530
+.6×10³ m per second and for the period we use
+
+379
+00:30:43,530 --> 00:30:48,230
+القانون تبع ال period مسافة الدورة على الزمن
+
+380
+00:30:48,230 --> 00:30:55,230
+الدوري بتطلعلي ال period 1.55 hour تمام يعطيكوا
+
+381
+00:30:55,230 --> 00:30:55,750
+الأعافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..82da649b065149125adbf7cdccc6c58b75116b52
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs.srt
@@ -0,0 +1,1935 @@
+1
+00:00:21,040 --> 00:00:23,240
+بعدها بسم الله الرحمن الرحيم هنبدأ اليوم بال
+
+2
+00:00:23,240 --> 00:00:28,440
+chapter الخامس اللي عنوانه circular motion and
+
+3
+00:00:28,440 --> 00:00:32,700
+gravitation أخدنا في الـ chapter التاني .. التالت
+
+4
+00:00:32,700 --> 00:00:38,910
+sorry نبدأ بسيطة عن الـ circular motionاليوم بدنا
+
+5
+00:00:38,910 --> 00:00:44,030
+ناخدها بالتفصيل بالإضافة إلى قانون الجذب العام
+
+6
+00:00:44,030 --> 00:00:48,450
+اللي له ارتباط كبير بالـ circular motion زي ما
+
+7
+00:00:48,450 --> 00:01:02,990
+أنتم عارفين أغلب حركة الكواكب .. مش
+
+8
+00:01:02,990 --> 00:01:04,110
+هي مش العالم؟
+
+9
+00:01:12,920 --> 00:01:18,220
+تمام بالتالي اليوم بدنا نعيد الـ circular motion
+
+10
+00:01:18,220 --> 00:01:23,780
+بتفصيل أكثر و نشوف تطبيق قانون نيوتن التاني بها
+
+11
+00:01:23,780 --> 00:01:30,170
+كذا حركات طبعا الحركة الدورانية حركة موجودة ومهملة
+
+12
+00:01:30,170 --> 00:01:33,450
+وبتشوفوها دائما لو شغلتوا الهواية مش في حركة
+
+13
+00:01:33,450 --> 00:01:36,570
+دورانية بتصير وفي حركات كثيرة حركة دورانية
+
+14
+00:01:36,570 --> 00:01:41,550
+وبالتالي بنتعامل معها بالتفصيل هنرجع الحركة
+
+15
+00:01:41,550 --> 00:01:45,110
+الدورانية ندرسها كمان مرة بالتفصيل في chapter العشرة
+
+16
+00:01:45,110 --> 00:01:49,850
+إن شاء الله أول حاجة هناخدها هي الـ centripetal
+
+17
+00:01:49,850 --> 00:01:55,970
+force أو القوة المركزية centripetal force في الـ
+
+18
+00:01:55,970 --> 00:02:00,270
+chapter التالت أخر section اتفقنا التالت قلنا لما
+
+19
+00:02:00,270 --> 00:02:04,530
+يكون في جسم بيدور حواليها حركة دائرية حوالين دائرة
+
+20
+00:02:04,530 --> 00:02:09,510
+بتحرك حركة دورانية إذا الـ speed تبعه ثابتة بنقول
+
+21
+00:02:09,510 --> 00:02:14,490
+عنها uniform circular motion صحيح ولا لأ؟ الـ speed
+
+22
+00:02:14,490 --> 00:02:18,630
+constant، الـ velocity is constant الـ velocity is
+
+23
+00:02:18,630 --> 00:02:21,770
+not constant، it is .. تمام، إذا الـ direction بتغير
+
+24
+00:02:21,770 --> 00:02:25,720
+فيها؟ الـ direction نتيجة هذا التغير في الـ
+
+25
+00:02:25,720 --> 00:02:28,360
+direction بيطلع عندي acceleration سميتها
+
+26
+00:02:28,360 --> 00:02:32,160
+centripetal acceleration تمام؟ و جبتها في الـ quiz
+
+27
+00:02:32,160 --> 00:02:37,280
+آه .. و سألتوني و في كثير مش عارفين مع أنه حكيتها
+
+28
+00:02:37,280 --> 00:02:43,770
+و مكتوبة و الأسئلة غالبا بتكون مذكورة تمام؟ بقول it
+
+29
+00:02:43,770 --> 00:02:46,510
+is known that it is known من الـ chapter تلاتة يعني
+
+30
+00:02:46,510 --> 00:02:51,210
+حكينا هذا الموضوع if a particle moves with
+
+31
+00:02:51,210 --> 00:02:57,450
+constant speed V in a circular path of radius R
+
+32
+00:02:57,450 --> 00:03:01,110
+هذه المعلومة اللي أخدناها في الـ chapter تلاتة الـ
+
+33
+00:03:01,110 --> 00:03:04,710
+particle it تعود على الـ particle acquires a
+
+34
+00:03:04,710 --> 00:03:08,510
+centripetal acceleration الـ particle بيكتسب تسارع
+
+35
+00:03:08,510 --> 00:03:13,860
+مركزي ليه سمّيته مركزي؟ عشان اتجاهه نحو المركز
+
+36
+00:03:13,860 --> 00:03:18,080
+ذاكرين؟ الـ centripetal acceleration due to the
+
+37
+00:03:18,080 --> 00:03:20,840
+change in the direction of the particles velocity
+
+38
+00:03:20,840 --> 00:03:24,600
+من وين الـ centripetal acceleration؟ نتيجة تغيير الـ
+
+39
+00:03:24,600 --> 00:03:28,140
+direction تبع الـ velocity واضح؟ لأن الـ velocity
+
+40
+00:03:28,140 --> 00:03:31,240
+لها magnitude و direction الـ magnitude اللي هو الـ
+
+41
+00:03:31,240 --> 00:03:34,660
+speed ثابتة ماذا تظهر في الفيديو؟ اتغيرت الـ
+
+42
+00:03:34,660 --> 00:03:38,560
+direction اتغيرت الـ direction إذا نتيجة تغير
+
+43
+00:03:38,560 --> 00:03:41,900
+السرعة صار عندي acceleration سميتها centripetal
+
+44
+00:03:41,900 --> 00:03:45,800
+acceleration واتفقنا الـ direction of this
+
+45
+00:03:45,800 --> 00:03:48,580
+acceleration is towards the center of the circle
+
+46
+00:03:48,580 --> 00:03:52,580
+عشان كده سميتها centripetal تمام واتفقنا إنه تُعطى
+
+47
+00:03:52,580 --> 00:03:56,580
+بهذه العلاقة صحيح ولا لأ؟ وقلنا إنها اشتقاق موجود
+
+48
+00:03:56,580 --> 00:03:59,820
+في الكتاب اللي قرأه قرأه واللي مش مقرأه مش مطلوب
+
+49
+00:03:59,820 --> 00:04:07,790
+منكم يجيبوا اشتقاقه A=V تربيع على R هجيبها أنتم
+
+50
+00:04:07,790 --> 00:04:13,790
+وخدتوا لو أنا كتبت A و X إيش هذي اللي هي معنى
+
+51
+00:04:13,790 --> 00:04:24,790
+عندكم؟ مركبة سينية و AY تمها هجيب AR مركبة نصف قطرية
+
+52
+00:04:24,790 --> 00:04:28,450
+دعونا نقول استخدمها لأ الشيء الـ X يعني من تجاه الـ
+
+53
+00:04:28,450 --> 00:04:34,500
+X باتجاه الـ R يعني صح ولا لأ؟ الـ R بالنسبة لي
+
+54
+00:04:34,500 --> 00:04:39,580
+مش هو مركز .. نصف قطر؟ R تمام، إذن هذه معناته
+
+55
+00:04:39,580 --> 00:04:45,440
+باتجاه أنصاف الأقطار، هي في كرسي يا بنات هناك أنا
+
+56
+00:04:45,440 --> 00:04:49,900
+عندي واحد، و بتلاقيه أقولكم واحد، أيوه لقيته اثنين،
+
+57
+00:04:49,900 --> 00:04:56,870
+تمامو بالتأجو يمكن هنا ولا هنا المهم إذا هذي الـ R
+
+58
+00:04:56,870 --> 00:05:02,890
+along the radius along the radius يعني دليل علينا
+
+59
+00:05:02,890 --> 00:05:06,450
+باتجاه المركز ولا عمرنا سمعنا نصف قطر بيمر في
+
+60
+00:05:06,450 --> 00:05:12,280
+مركز؟ لأ طبعا لأن تعريف نصف القطر هي المسافة بين
+
+61
+00:05:12,280 --> 00:05:17,900
+المركز و أي نقطة على المحيط معروفة إذا R صارت زي X
+
+62
+00:05:17,900 --> 00:05:25,260
+وصارت زي Y مركبة نصف قطرية أو radial component
+
+63
+00:05:25,260 --> 00:05:30,220
+بيساوي V تربيع على R حلو إذا الـ R عرفنا زيها X زي Y
+
+64
+00:05:30,220 --> 00:05:33,360
+هذه بقول عنها along the X axis هذه along the Y
+
+65
+00:05:33,360 --> 00:05:40,700
+axis هذه along the radius axis تمام طيب جالي في chapter
+
+66
+00:05:40,700 --> 00:05:44,960
+4 إيش أخذنا؟ قانون نيوتن الثاني، ذاكرينه؟ قانون
+
+67
+00:05:44,960 --> 00:05:49,200
+نيوتن الثاني اللي كان بيقولي F بيساوي MA جالي في
+
+68
+00:05:49,200 --> 00:05:54,040
+مجال يكون في عندك acceleration بدون قوة؟ لأ هاي نيوتن
+
+69
+00:05:54,040 --> 00:05:57,980
+الثاني بيقولك مستحيل يكون acceleration إذا قول إيه
+
+70
+00:05:57,980 --> 00:06:01,920
+اللي خلّى هذه؟ مين اللي جابها؟ يعني أي قوة مسؤولة
+
+71
+00:06:01,920 --> 00:06:06,340
+عنها إذا لابد من وجود قوة مسؤولة عنها كذا
+
+72
+00:06:06,340 --> 00:06:10,080
+acceleration إذا الـ Newton's second law this
+
+73
+00:06:10,080 --> 00:06:14,680
+acceleration must or should be due to a force
+
+74
+00:06:14,680 --> 00:06:20,690
+تمام؟ called the centripetal force عندي AX تسارع
+
+75
+00:06:20,690 --> 00:06:26,990
+سيني تتوقع ممكن أنك تبقى في هنا لازم الـ F تكون X
+
+76
+00:06:26,990 --> 00:06:32,310
+إذا زي ما التسارع مركزي القوة بدها تكون مركزية يعني
+
+77
+00:06:32,310 --> 00:06:37,430
+اتجاه القوة مركزية عشان القوة باتجاه المركز سموها
+
+78
+00:06:37,430 --> 00:06:43,040
+قوة مركزية centripetal force تمام طب الـ Newton ليش
+
+79
+00:06:43,040 --> 00:06:49,780
+بيقول F بيساوي MA فقال FA بيساوي MA و AR هي نفسها
+
+80
+00:06:49,780 --> 00:06:53,420
+دي V تربيع على R إذاً هذا قانون نيوتن الثاني
+
+81
+00:06:53,420 --> 00:06:57,280
+أسهل ليش؟ لأن الـ acceleration معروفة V تربيع على
+
+82
+00:06:57,280 --> 00:07:00,980
+R ليش إذا كان يقولي أوجد الـ acceleration لهي V
+
+83
+00:07:00,980 --> 00:07:04,780
+تربيع على R أوجد V وممكن مرات V أعطيكم إياها تمام
+
+84
+00:07:04,780 --> 00:07:11,390
+يا بنات؟ حلو هذي بيسموها الـ centripetal force الـ
+
+85
+00:07:11,390 --> 00:07:17,790
+centripetal force حلو بقولي هجيبها مرة واحدة بنسأل
+
+86
+00:07:17,790 --> 00:07:23,130
+الطلاب في جسم بيتحرك إيش المسؤول عن حركته؟ بقولي
+
+87
+00:07:23,130 --> 00:07:28,850
+القوة المركزية بقى ما بنفعش القوة المركزية ماهي
+
+88
+00:07:28,850 --> 00:07:32,490
+نوع من أنواع القوة بنفع واحد يقولي مين بيأثر على
+
+89
+00:07:32,490 --> 00:07:37,040
+الجسم أقوله هو القوة السينية ما ينفعش، مين بيأثر على
+
+90
+00:07:37,040 --> 00:07:39,340
+الجسم لما كنا نرسم الـ Free Body Diagram؟ ما كنا
+
+91
+00:07:39,340 --> 00:07:43,980
+نقول MG و كنا نقول N و كنا نقول Friction، مظبوط
+
+92
+00:07:43,980 --> 00:07:47,080
+ولا لا؟ و كنا نقول T؟ عموما كنا رسمنا في الـ
+
+93
+00:07:47,080 --> 00:07:51,120
+Free Body Diagram، حطينا F و حطينا عليها FX؟ لأ،
+
+94
+00:07:51,120 --> 00:07:55,340
+ما حطينا FX على نفس الرسمة، من هذه القوة كنا نقول مين
+
+95
+00:07:55,340 --> 00:08:00,420
+هو سيني و مين هو صادق، إذا القوة المركزية كاسم
+
+96
+00:08:00,420 --> 00:08:05,240
+ماهي نوع من أنواع القوة واضح؟ it should be noted
+
+97
+00:08:05,240 --> 00:08:09,520
+that any force in nature أي قوة اللي بتعرفوها mg
+
+98
+00:08:09,520 --> 00:08:16,260
+شد friction tension كل القوة اللي مرت عليكم any force
+
+99
+00:08:16,260 --> 00:08:19,300
+in nature can be treated as a centripetal force
+
+100
+00:08:19,300 --> 00:08:23,600
+ممكن اعتبارها قوة مركزية مين اللي بيحدد؟ اتجاهها
+
+101
+00:08:23,600 --> 00:08:27,300
+إذا نحو المركز بقولها المركزية صح ولا لا؟ أو
+
+102
+00:08:27,300 --> 00:08:30,920
+باتجاه أنصاف الأقطار إذا كانت تعمل على حركة في
+
+103
+00:08:30,920 --> 00:08:36,460
+اتجاه يتجاه مركز الطريق الحركي تتبع الحركة يعني
+
+104
+00:08:36,460 --> 00:08:42,260
+بمعنى آخر بقول الكلمة الـ centripetal هذه تتعرف
+
+105
+00:08:42,260 --> 00:08:47,420
+على اتجاهها دي بتشيرلك direction of the force and
+
+106
+00:08:47,420 --> 00:08:51,020
+not a new kind of forces ما فيش عندي قوة اسمها قوة
+
+107
+00:08:51,020 --> 00:08:55,820
+مركزية أو قوة طاردة مركزية زي ما تمرّضت عن الكلمة
+
+108
+00:08:55,820 --> 00:08:59,040
+العامية قوة طاردة مركزية ما فيش حاجة اسمها قوة
+
+109
+00:08:59,040 --> 00:09:04,930
+طاردة مركزية ولا قوة مركزية تمام؟ حلو It is like
+
+110
+00:09:04,930 --> 00:09:07,250
+horizontal or vertical؟ بيقول الـ centripetal بتاعت زي
+
+111
+00:09:07,250 --> 00:09:10,130
+الـ vertical زي الـ horizontal قوة أفقية أو قوة
+
+112
+00:09:10,130 --> 00:09:13,950
+عمودية أمورناش قولنا اللي بيأثر قوة عمودية ولا قوة
+
+113
+00:09:13,950 --> 00:09:18,990
+أفقية اللي بيأثر MG tension friction شد صح ولا لا هذه
+
+114
+00:09:18,990 --> 00:09:23,430
+القوة اللي بعرفها أو قوة مغناطيسية قوة كهربية كلها
+
+115
+00:09:23,430 --> 00:09:28,170
+قوة حقيقية بعرفها أما قوة مركزية أو قوة طاردة
+
+116
+00:09:28,170 --> 00:09:33,640
+مركزية ما فيش منهم كنوع من أنواع القوة زي ما فيش قوة
+
+117
+00:09:33,640 --> 00:09:38,260
+أفقية أو قوة عمودية كنوع من أنواع القوة هذا بديل
+
+118
+00:09:38,260 --> 00:09:43,800
+على الـ direction مش أكثر تمام إذا أنا عندي في هذا
+
+119
+00:09:43,800 --> 00:09:47,540
+الـ chapter ما فيش شيء جديد chapter 4 القانون الوحيد
+
+120
+00:09:47,540 --> 00:09:52,080
+اللي كنت أطبقه هو الـ acceleration هو نفسه يا بنا
+
+121
+00:09:53,050 --> 00:09:55,910
+أنا هذه المرة جسمتها لـ X و لـ Y، هل ذاكرين؟ هذه
+
+122
+00:09:55,910 --> 00:10:01,070
+المرة بدي أجيبها و أحط هنا R و هذه أحط محلها R بدل
+
+123
+00:10:01,070 --> 00:10:04,470
+X و Y أجيبها نصف قطرية صحيح؟ عدنا هنجيبها كمان
+
+124
+00:10:04,470 --> 00:10:09,550
+مركبة هذه لها ميزة إنها دائما V تربيع على R و
+
+125
+00:10:09,550 --> 00:10:16,310
+دائما باتجاه المركز إذن في خصوصية لهذه التسارع إنه
+
+126
+00:10:16,310 --> 00:10:21,350
+مركزي يسمّوه عشان هو باتجاه المركز و تساوي V² over R
+
+127
+00:10:21,350 --> 00:10:27,140
+تمام بدنا نبدأ نشوف كيف نطبقه بيقولي أسهل تطبيق
+
+128
+00:10:27,140 --> 00:10:31,900
+أنت دائما بتشوفه بيقولي a flat unbanked curve
+
+129
+00:10:31,900 --> 00:10:38,220
+أُمّكم شوفتوا دوار في الشارع؟ آه في صحيح ولا لا؟ دوار
+
+130
+00:10:38,220 --> 00:10:41,920
+.. دوار .. أي دوار؟ تمام؟ اللي بنلف عليه حلو
+
+131
+00:10:41,920 --> 00:10:47,900
+بيقولي في عندك flat يعني عدل مش .. مش مائل تمام؟
+
+132
+00:10:47,900 --> 00:10:51,920
+مستوي تمام unbanked يعني مالوش حواف هي bank يعني
+
+133
+00:10:53,480 --> 00:10:57,440
+Careful on a highway في شارع واسع وكبير وسريع زي
+
+134
+00:10:57,440 --> 00:11:01,920
+ما نسميه highway طبعا هيوية كلمة مية عامية صحيح
+
+135
+00:11:01,920 --> 00:11:06,440
+تمام has a radius of one hundred meters كل دوار ما
+
+136
+00:11:06,440 --> 00:11:10,210
+هو دائرة أنه نسقطه بس قطر 100 متر if the
+
+137
+00:11:10,210 --> 00:11:13,210
+coefficient of static friction between the tires
+
+138
+00:11:13,210 --> 00:11:18,610
+إطارات السيارة and the road والطريق is 0.2 طبعا في
+
+139
+00:11:18,610 --> 00:11:21,910
+النهاية الأسفل اتخشن في معامل احتكاك قال لي معامل
+
+140
+00:11:21,910 --> 00:11:26,740
+احتكاك 0.2 طيب what is the maximum speed؟ the car
+
+141
+00:11:26,740 --> 00:11:30,240
+we will have in order to round the curve
+
+142
+00:11:30,240 --> 00:11:33,860
+successfully طبعا في الشوارع و اللي بتعرفوا السوق
+
+143
+00:11:33,860 --> 00:11:37,060
+بتعرفوا أنه أي منحنى في الشارع المفروض يكون فيه
+
+144
+00:11:37,060 --> 00:11:41,460
+إشارة مرورية عشان تهدّئ السرعة لأنه لو ما هدّيتش
+
+145
+00:11:41,460 --> 00:11:46,700
+السرعة بتجلب مظبوط ولا لأ؟ بيقولي طب هذا الدوار
+
+146
+00:11:46,700 --> 00:11:50,880
+بهذه المواصفات إيش أقصى سرعة ممكن أفوتها عشان
+
+147
+00:11:50,880 --> 00:11:54,960
+ما أجلبش؟ عشان أقول للبلد يحط جرمة الـ maximum نفترض
+
+148
+00:11:54,960 --> 00:11:57,480
+خمسين كيلو متر في الساعة ولا أربعين كيلو متر في
+
+149
+00:11:57,480 --> 00:12:01,180
+الساعة كيه بده أحطها؟ بيحطها عشوائية في حسابات،
+
+150
+00:12:01,180 --> 00:12:06,720
+بدنا نحسبها عشان السيارة ما تجلبش تمام؟ إحنا متفقين
+
+151
+00:12:06,720 --> 00:12:10,040
+أول أن السيارة لما تلف تتحرك حركة دورانية ولا لأ؟
+
+152
+00:12:10,040 --> 00:12:16,060
+آه إذا موضوعنا إذا في حركة دورانية إذا في تسارع
+
+153
+00:12:16,060 --> 00:12:21,460
+مركزي إذا قطعا بدي أدور ما هو القوة المسؤولة عن
+
+154
+00:12:21,460 --> 00:12:25,580
+هذا التسارع بدون قوة تتحركش السيارة ولا ممكن تلف
+
+155
+00:12:25,580 --> 00:12:31,400
+تمام؟ هاي الدوار بس أفقي مش عمودي بيكون صح؟ هو
+
+156
+00:12:31,400 --> 00:12:37,020
+بيكون أفضل حلو وهي صارتنا حمرا لإن نجنّاها دماء
+
+157
+00:12:37,020 --> 00:12:43,070
+العصر إنها بتمشي هناك بالضبط، ما جلبتش، الحمد لله
+
+158
+00:12:43,070 --> 00:12:48,390
+تمام، بناشوفش عليها قوة إحنا متفقين عشان أطبق هكذا
+
+159
+00:12:48,390 --> 00:12:53,190
+قانون هذا، فاهمينه، V تربيع على R والله R مدينيها
+
+160
+00:12:53,190 --> 00:12:57,150
+مية، صح ولا؟ و الـ V بدوياها أصلا، what is the
+
+161
+00:12:57,150 --> 00:13:01,550
+maximum speed؟ بده V تمام، و الـ M؟ بنجيبها، إذا مش
+
+162
+00:13:01,550 --> 00:13:06,590
+موجودة، بندور عليها، بدي أفقار، بدي أفقار هجيب
+
+163
+00:13:06,590 --> 00:13:08,750
+أنتم متخيلين الشارع ولا لا؟ عمكم شوفتوا شارع؟
+
+164
+00:13:09,190 --> 00:13:14,670
+شايفينه؟ وشفتوا عليه سيارة؟ تمام، هاي سيارة و هاي
+
+165
+00:13:14,670 --> 00:13:19,870
+الشارع، إيش عليها القوة؟ احكي؟ وزنها؟ شوفوا،
+
+166
+00:13:19,870 --> 00:13:24,970
+السيارة اعتبروها box، بس وزن، وإيش كمان؟ و الـ N
+
+167
+00:13:24,970 --> 00:13:28,870
+للفوق، و الاحتكاك، و الاحتكاك، براو عليكم، بستنى شوية
+
+168
+00:13:28,870 --> 00:13:33,450
+عادة هجيب احنا بدنا من هاتلت قوة، مين منهم باتجاه
+
+169
+00:13:33,450 --> 00:13:42,380
+المركز، صح ولا لأ؟ خلينا نشوف، و هي بتلف ممكن أن
+
+170
+00:13:42,380 --> 00:13:46,760
+تمدوها لما تصل السماء، بتصل المركز؟ المركز هيه، طب
+
+171
+00:13:46,760 --> 00:13:51,060
+و الـ MG؟ أنه مدوها لما تصل جاى عن الأرض، بتصل
+
+172
+00:13:51,060 --> 00:13:55,980
+المركز؟ طب الاحتكاك كيف بيكون؟ هو الوحيد، هو القوة
+
+173
+00:13:55,980 --> 00:14:00,400
+الوحيدة المسؤولة عن الدوران عشان كده لو كانت فيه
+
+174
+00:14:00,400 --> 00:14:04,460
+ثلج،
+
+216
+00:17:18,010 --> 00:17:30,550
+MG نقص MG نقص MG نقص MG كنا ندور على كتلة، ذاكرين؟
+
+217
+00:17:30,550 --> 00:17:35,150
+كتلة السيارة راحت بتهاشم ناشياها تمام، إذا قال لي
+
+218
+00:17:35,150 --> 00:17:42,240
+أما راحت مع أو صارت عندك V بالساوية الجذر التربيعي
+
+219
+00:17:42,240 --> 00:17:47,100
+.. عشان هنا V تربيع MUS في الـR في الـG MUS أطلقوا
+
+220
+00:17:47,100 --> 00:17:52,620
+100 ولا لا؟ أو 0.2 و G بنعرفها و R مية أوضت ..
+
+221
+00:17:52,620 --> 00:17:56,060
+جالي 50.4 كيلومتر بالـhour طبعا الـ calculator
+
+222
+00:17:56,060 --> 00:18:00,020
+بيطلقوكوش 50 بيطلقوكو 100 برساكنة صح؟ وبعدين أنا
+
+223
+00:18:00,020 --> 00:18:04,400
+حولت هذا kilometer بالـhour عشان لغة البلدية و
+
+224
+00:18:04,400 --> 00:18:07,240
+الشوارع و الهادي فـ kilometer بالـhour يعني بمعنى
+
+225
+00:18:07,240 --> 00:18:10,120
+أقل لو البلدية حطت جارما خمسين kilometer بالساعة
+
+226
+00:18:10,120 --> 00:18:14,040
+في حد بيقلب؟ لأ لأن هو المفروض أنه بعد الخمسين
+
+227
+00:18:14,040 --> 00:18:17,520
+بيقل أربعة حتى إذا بيقول البلدية حط خمسين و
+
+228
+00:18:17,520 --> 00:18:20,440
+بالظروف اللي أنت دي تنايها صحيحة مفيش ولا سيارة
+
+229
+00:18:20,440 --> 00:18:24,740
+بتقلب بها كده معطيات صحيحة ولا لأ؟ خلاص اللي أدال
+
+230
+00:18:24,740 --> 00:18:32,810
+بيقلبش اللي أكثر لو وحدة وخمسين بيقلب، بمشيش، بيكون
+
+231
+00:18:32,810 --> 00:18:39,470
+صارت قوة الاحتكاك غير كافية أنها تخليه يلوف، ليش؟
+
+232
+00:18:39,470 --> 00:18:46,160
+لأن اللي بنات هذا الجهة هذه أنا بملكهاش إذا زادت
+
+233
+00:18:46,160 --> 00:18:50,760
+هادي بدي هادي تكون زيها مشكلة هادي إنه إليها حد
+
+234
+00:18:50,760 --> 00:18:54,660
+معين و بتوقف لأنه أكبر قيمة إليها جدّيش الـMUS في
+
+235
+00:18:54,660 --> 00:19:00,460
+الـM إذا هادي تجاوزت هادي بيبطل فيه مساواة و بتبطل
+
+236
+00:19:00,460 --> 00:19:05,480
+المعادلة صحيحة ومعناته مافيش حركة لأن هادي بس حركة
+
+237
+00:19:05,480 --> 00:19:09,290
+دائرية إيش مافيش حركة يعني الله يرحم السواق هذه
+
+238
+00:19:09,290 --> 00:19:14,450
+المعنى لا توجد حركة تمام؟ إذن لابد إن هذا الجانب
+
+239
+00:19:14,450 --> 00:19:19,350
+يكون أنا أقدر أقول يساوي هذا وهذا مشكلته في الآخر
+
+240
+00:19:19,350 --> 00:19:23,830
+بفلس إنه قيمة معينة μ أس في الـN أكثر من كده
+
+241
+00:19:23,830 --> 00:19:27,670
+بيقدر يديكي قيمة؟ لأ، و الـN بيساوي M جيه و M تبعت
+
+242
+00:19:27,670 --> 00:19:32,940
+السيارة و جيه بنعرفها كلنا مابتتغيرش وبالتالي عند
+
+243
+00:19:32,940 --> 00:19:36,900
+سرعة معينة بيقولي هذه المعادلة راحت مافيش مجال إذا
+
+244
+00:19:36,900 --> 00:19:40,920
+كل الحركة بطلة صحيحة وهذا اللي بنعبر عنه إن
+
+245
+00:19:40,920 --> 00:19:45,780
+الحركة ما تمت دوران السيارة ما تمش بنجاح صار حادث
+
+246
+00:19:45,780 --> 00:19:53,740
+و إن شاء الله ما تكونش ماتسوّال تمام، بحكي إبراهيم؟
+
+247
+00:19:53,740 --> 00:20:00,160
+ليش ما حطتش FK؟ سؤال جيد هو أنت شايف اتجاه الـFS
+
+248
+00:20:00,160 --> 00:20:00,480
+وين؟
+
+249
+00:20:05,060 --> 00:20:10,700
+هل في احتكاك ما بين السيارة و الشارع بهذا الـ
+
+250
+00:20:10,700 --> 00:20:20,660
+direction؟ أنت ملاحظة أنا هيك في احتكاك لكن هيك ما فيش
+
+251
+00:20:20,660 --> 00:20:25,040
+بمعنى آخر لو أنا ماشي هيك و محافظ على مسافة ما بين
+
+252
+00:20:25,040 --> 00:20:29,320
+أول الطاولة لو هنا ماشي بخط مستقيم معناته هذه لا
+
+253
+00:20:29,320 --> 00:20:32,900
+بتجرب ولا بتبعد إذا مافيش عندي sliding بالـ
+
+254
+00:20:32,900 --> 00:20:35,860
+direction هذا إذا بقدر أقول في هذا الـdirection Fs
+
+255
+00:20:35,860 --> 00:20:41,140
+ولا Fk؟ Fs حاجته هي دائرة نصف قطرها بتغير؟ إذا
+
+256
+00:20:41,140 --> 00:20:44,460
+معناته هي لا جربت على مركز ولا بعدت على مركز في
+
+257
+00:20:44,460 --> 00:20:49,480
+هذا الاتجاه مافيش sliding عشان كده بقول Fs مش Fk وكيف
+
+258
+00:20:49,480 --> 00:20:52,220
+يصير FK لما الله يحفظ السواق؟
+
+259
+00:21:03,280 --> 00:21:07,180
+إذن فهمنا ليش بيحطوا جرمات للسواقيين لما يكون أي
+
+260
+00:21:07,180 --> 00:21:11,260
+انعطاف، أي دوران، ما هو أي ملف يعتبر جزء من دائرة.
+
+261
+00:21:11,760 --> 00:21:16,700
+لما بيلف السواق، بيعمل ويجوز، صح؟ و الجوز، أي
+
+262
+00:21:16,700 --> 00:21:20,080
+انحناء، جزء من دائرة ولا لا؟ إذن أول ما يلف، بيكون
+
+263
+00:21:20,080 --> 00:21:24,080
+دخل في حركة دورانية، عشان كده بيقولوا، قبل ما تلف،
+
+264
+00:21:24,080 --> 00:21:26,740
+ممنوع تكون أنت والله ماشي في خط سريع على 100 كيلو
+
+265
+00:21:26,740 --> 00:21:30,650
+متر في الساعة، و تلف ورا كأنه صاريشي، مستحيل. لازم
+
+266
+00:21:30,650 --> 00:21:35,050
+تهدي لأن في هذه الحالة عشان تقدر هذه المعادلة تبقى
+
+267
+00:21:35,050 --> 00:21:41,710
+سليمة وتقدر تلف بنجاح وإلا بيصير الحوادث تمام؟
+
+268
+00:21:41,710 --> 00:21:47,530
+كمان مثال بيقول لي احتكاكوا آمن طب وإيش نعمل في
+
+269
+00:21:47,530 --> 00:21:52,910
+موسكو؟ اللي أغلب أيامها مالها؟ تلج؟ صحيح ولا لأ؟
+
+270
+00:21:53,650 --> 00:21:57,550
+طيب و جالوا جالوا للبلدية بنعمل دوار هو طبعا في
+
+271
+00:21:57,550 --> 00:22:01,650
+البلدية بيقولك ما تعملش دوار بتريحني لأنه خلاص قال
+
+272
+00:22:01,650 --> 00:22:05,950
+لأ بنعمل دوار ملزمين طب إيش نسوي قالوا دير بالكم
+
+273
+00:22:05,950 --> 00:22:11,230
+احنا مش زي غزة ما فيش تلج بالمرة إلغي الاحتكاك بالمرة
+
+274
+00:22:12,630 --> 00:22:15,730
+كيف ألغي الاحتكار؟ المحتوى التعليمي القوة الوحيدة
+
+275
+00:22:15,730 --> 00:22:19,330
+اللي بتخلي السيارة تدور هي الاحتكاك و اضايح هذا
+
+276
+00:22:19,330 --> 00:22:22,270
+المعنى ثم بقوله ما فيش دورة عندك، لو لأ بتعملي،
+
+277
+00:22:22,270 --> 00:22:26,070
+تمام؟ بنشوف إيش بنسوي لأ، بيقولي a circular curve
+
+278
+00:22:26,070 --> 00:22:31,360
+of a road، بندنعمل برضه curve في الـroad هو مصمم
+
+279
+00:22:31,360 --> 00:22:42,120
+لتحريك محرك يتحرك حوالي ستين كيلومتر بالساعة بدون
+
+280
+00:22:42,120 --> 00:22:46,880
+الاعتماد على الفريكشن قالوا للمهندسين انسوا أن
+
+281
+00:22:46,880 --> 00:22:49,320
+هناك فريكشن لا أريد اليوم أن أقول أن هناك إعتلاج
+
+282
+00:22:49,320 --> 00:22:52,120
+أو أن أقول أن الدنيا صاحية انسوا الفريكشن تماما
+
+283
+00:22:52,120 --> 00:22:57,630
+هناك فريكشن في يوم صاحي زاد الأمان تمام If the
+
+284
+00:22:57,630 --> 00:23:00,170
+radius of the curve is 80 meters, what is the
+
+285
+00:23:00,170 --> 00:23:04,210
+correct angle of road banking؟ طبعا، نرجع لما يجي
+
+286
+00:23:04,210 --> 00:23:10,550
+واحد يفكر، يقول كم قوة وكان؟ ثلاثة، MG و N، صح؟
+
+287
+00:23:10,550 --> 00:23:13,110
+و friction، راحت الـfriction مش هيكون بيقولك
+
+288
+00:23:13,110 --> 00:23:18,670
+روحها، إيه ده؟ كانت MG و N، في حد بيقدر يلعب في
+
+289
+00:23:18,670 --> 00:23:24,360
+MG؟ ولا حد لأن هذه ربنا خلقها صحيح ولا لأ؟ في حد مقدر
+
+290
+00:23:24,360 --> 00:23:28,920
+نلويها شوية؟ ولا نعملها أفقية؟ في حد مقدر؟ لأ
+
+291
+00:23:28,920 --> 00:23:33,260
+قالوا إيه ده؟ أن فاشل أن من قدامها قالوا أن هي لسه
+
+292
+00:23:33,260 --> 00:23:38,700
+مهينة عشانها نورمال على إيش؟ الـsurface الـsurface صح ولا
+
+293
+00:23:38,700 --> 00:23:42,130
+لأ؟ و الـsurface هذا ماهو الشارع؟ طب و الشارع عشان أنا
+
+294
+00:23:42,130 --> 00:23:46,150
+بدي أصممه؟ بدي ألعب فيه كيف ما بدي، إذن هذا الشارع
+
+295
+00:23:46,150 --> 00:23:48,870
+بدل ما هو هيك، بدي أعمله هيك، أشوف إيش بتصير
+
+296
+00:23:48,870 --> 00:23:55,490
+معايا، لما يصير هيك، بصير، بديه يتحلل أحد مركباته
+
+297
+00:23:55,490 --> 00:24:01,860
+تعتبر قوة مركزية، حلت المشكلة أحد مركبات الـ N هي
+
+298
+00:24:01,860 --> 00:24:06,600
+السيارة لأن دور السيارة بدي قوة مركزية و القوة
+
+299
+00:24:06,600 --> 00:24:09,880
+المركزية في الملاحظات جالي أحد القوى الطبيعية
+
+300
+00:24:09,880 --> 00:24:13,360
+و القوى الطبيعية اللي موجودة ثلاثة كانت راحت واحدة
+
+301
+00:24:13,360 --> 00:24:18,890
+ظلت اثنتين MG و N مستحيل أن ألعب فيها دلّق أن
+
+302
+00:24:18,890 --> 00:24:22,210
+قلنا أن أنا اللي بصنعها لأن أنا اللي بدي أصنع
+
+303
+00:24:22,210 --> 00:24:25,110
+الشارع اللي هو السطح و هي normal على السطح هي بتلف
+
+304
+00:24:25,110 --> 00:24:29,530
+لو عملت الاسفلت هيك بقول هي N صح ولا لا بصيرها
+
+305
+00:24:29,530 --> 00:24:35,030
+مركزية تمام؟ ما ننّحكي على الأسفلت اللي زي هي تمام
+
+306
+00:24:35,030 --> 00:24:40,290
+بقول هي السيارة ميلناها طبعا أنت بتعرف الشارع
+
+307
+00:24:40,290 --> 00:24:44,920
+بيعملونه ميلان عشان المطر؟ الشوارع بيعملوها تتميل
+
+308
+00:24:44,920 --> 00:24:49,920
+شوية عشان المطر ما يبركش صح؟ نفس الميلان هذا هو
+
+309
+00:24:49,920 --> 00:24:54,140
+الميلان اللي بيعملوه في الدوار تمام؟ بس بدل ما
+
+310
+00:24:54,140 --> 00:24:59,540
+يميلوه هيك برا بيميلوه لجوه .. لجوه الدوار تمام؟ و
+
+311
+00:24:59,540 --> 00:25:04,120
+مجرد بيميلوه شوية بيميلوه باتجاه داخل الدوار و
+
+312
+00:25:04,120 --> 00:25:07,600
+غالبا الدوار بيكون زراعة ما هو صح ولا لأ فبتلفع
+
+313
+00:25:07,600 --> 00:25:11,100
+للسواقيين و بتلفع للزراعة المية اللي بتيجي بتروح
+
+314
+00:25:11,100 --> 00:25:15,060
+على نص الدوار بيكون دايما ممتزة ما هو أو نفورة و
+
+315
+00:25:15,060 --> 00:25:18,420
+مش عارف إيش فالمية بتروح على الزراعة و السواقيين
+
+316
+00:25:18,420 --> 00:25:23,280
+بيكيفوا أن هم بجعوش فميلتها هجيت أنا اللي بدي إياكم
+
+317
+00:25:23,280 --> 00:25:27,320
+تفهموه و تتصوروه أنا بهمه مش ميالة الشارع هيك لكن
+
+318
+00:25:27,320 --> 00:25:33,740
+لما بدي أجي ألف أنا بلف بدائرة أفقية خليني أخيكم
+
+319
+00:25:33,740 --> 00:25:40,440
+بشغل أصعب عمركم شفتوا في التلفزيون سيرك؟ تعرف، في
+
+320
+00:25:40,440 --> 00:25:45,460
+أحد اللعب المشهورة بيجي واحد بدراجة هانية بيلف
+
+321
+00:25:45,460 --> 00:25:47,680
+اثنتين، ثلاثة، أربعة على الأرض وبعدين بيطلع على
+
+322
+00:25:47,680 --> 00:25:52,560
+الحيطانة و بصير لف على الحيطانة صح ولا لا؟ هجيت ..
+
+323
+00:25:52,560 --> 00:25:57,620
+لما تيجي تتخيلوه هو قاعد بيلف مش بيلف هيك، صح؟ إذا
+
+324
+00:25:57,620 --> 00:26:03,900
+دائرته أفقية، دائرته أفقية، هجيت مين المسؤول عنده
+
+325
+00:26:03,900 --> 00:26:05,520
+ورانه؟ هو المركزي
+
+326
+00:26:08,850 --> 00:26:11,930
+كمان مرة .. ماشي أنتو تخيلتوا عمكم .. في حد عمره
+
+327
+00:26:11,930 --> 00:26:15,130
+شافه و هو بيلف فيك .. بيلف على حيطان .. حيطان
+
+328
+00:26:15,130 --> 00:26:19,670
+مدورة و بيبقى اللي رايح جاي .. بجعش .. هجيت لو بطأ
+
+329
+00:26:19,670 --> 00:26:23,230
+سرعته .. إيش بصير فيه؟ بجعش .. مظبوط ولا .. بيبقى
+
+330
+00:26:23,230 --> 00:26:26,390
+من الشعر .. لكن هجيت أنا ما باجعش .. بيلف .. ما
+
+331
+00:26:26,390 --> 00:26:29,870
+زالت بتحرك حركة دورانية .. علمونا .. ما فيش حركة
+
+332
+00:26:29,870 --> 00:26:34,840
+دورانية إلا بوجود قوة .. صح؟ في هذه الحالة القوة زي
+
+333
+00:26:34,840 --> 00:26:39,740
+ما حدثت أو حكت أزمُرتكم هي N .. لأن ال .. الحيطة
+
+334
+00:26:39,740 --> 00:26:45,020
+.. الشريع تبعه .. الحيطة هي .. كيف N؟ هي .. صح
+
+335
+00:26:45,020 --> 00:26:48,660
+ولا لأ؟ هادي باتجاه المركز والله، لذا هادي هي N
+
+336
+00:26:49,550 --> 00:26:53,350
+طبعا، لو فيه FS و فيه MG، ما همش دعوات، لأن هو ..
+
+337
+00:26:53,350 --> 00:26:59,090
+لأن هو بيلف .. بيلف بدائرة أفقية، أنا ليش بقول
+
+338
+00:26:59,090 --> 00:27:02,610
+دائرة أفقية، عشان أقول المركز إيه أفقي، المركز
+
+339
+00:27:02,610 --> 00:27:05,530
+أفقي، وبالتالي القوة اللي بيكون اتجاه المركز لازم
+
+340
+00:27:05,530 --> 00:27:13,130
+تكون أفقية، و هو قاعد بيمشي بيقولي هذه هي MG و هذه N
+
+341
+00:27:13,130 --> 00:27:18,810
+و هذه N و بتعمل زاوية مخضرها θيتا زي بقى هذه θيتا
+
+342
+00:27:18,810 --> 00:27:24,210
+و هذه ثيتا لأن في الآخر هذه N هي عبارة عن تسعين
+
+343
+00:27:24,210 --> 00:27:29,350
+درجة هيك صحيح؟ وبالتالي لو أنا عملت هذه تسعين درجة
+
+344
+00:27:29,350 --> 00:27:33,390
+لأنها normal على الـsurface و لو عملت هيك بتكون هذه
+
+345
+00:27:33,390 --> 00:27:39,680
+هي θيتا صحيح ولا لأ؟ تمام؟ فبالتالي هذه اللي عندي
+
+346
+00:27:39,680 --> 00:27:45,440
+هنا هذه و هذه و هذه و هذه بتتمم المنافسة الزاوية فهذه
+
+347
+00:27:45,440 --> 00:27:49,980
+بتتمم هذه و هذه بتتمم هذه فهذه فيتا تمام هجيت بعد
+
+348
+00:27:49,980 --> 00:27:54,160
+ما تأكدت من فيتا بقدر أقول هنا في عندي n cos ثيتا
+
+349
+00:27:54,160 --> 00:27:57,420
+و هنا في n sin ثيتا ولا لا تمام حللي غيري أن أحلل
+
+350
+00:28:00,110 --> 00:28:05,690
+هذا اللي بنقط هذا هو دائرتي و هي بتمشي السيارة
+
+351
+00:28:05,690 --> 00:28:12,810
+صحيح؟ تمام وهين حللت أن صيني الزاوية و أنكو صيني
+
+352
+00:28:12,810 --> 00:28:16,510
+الزاوية صح ولا لا؟ هجيت إذا فهمتوا الرسمة و أنا
+
+353
+00:28:16,510 --> 00:28:20,430
+بدي أسألكم الآن ما هي القوة اللي باتجاه المركز أن
+
+354
+00:28:20,430 --> 00:28:28,420
+صيني الزاوية إذا نجيتها خلص الصورة خلاص خلّص السؤال
+
+355
+00:28:28,420 --> 00:28:32,480
+هو بده θية أصلا و مدّيني السرعة و جاهزة ولا لأ مش
+
+356
+00:28:32,480 --> 00:28:37,460
+جالس ستين كيلومتر بالعوار إذا بيقول لي not that
+
+357
+00:28:37,460 --> 00:28:40,760
+the car will move around a horizontal circle هذه
+
+358
+00:28:40,760 --> 00:28:45,260
+أمننا فيها the normal force and should be resolved
+
+359
+00:28:45,260 --> 00:28:49,280
+لازم أحللها into two components one towards the
+
+360
+00:28:49,280 --> 00:28:52,020
+center of the curve اللي هي الـhorizontal and the
+
+361
+00:28:52,020 --> 00:28:55,820
+other vertical حللت و بعرف أحلل اللي عندها أي سؤال
+
+362
+00:28:55,820 --> 00:28:56,260
+تسأل
+
+363
+00:28:59,340 --> 00:29:03,740
+القوة المركزية ثم هي الوضع الـhorizontal اللي توي
+
+364
+00:29:03,740 --> 00:29:10,320
+طول F sin θ فجالي N في sin θ هي القوة المركزية
+
+365
+00:29:10,320 --> 00:29:15,760
+بسوء M A R اللي هي V تربيع على R تمام، إيش بدك؟
+
+366
+00:29:15,760 --> 00:29:23,700
+بدك θ؟ عشان تجيب θ بدي N صح؟ كيف أجيب N؟ مين جالت
+
+367
+00:29:23,700 --> 00:29:28,710
+N بسوء M G؟ أنت؟ يعني أنت .. خليني .. لأ بدي أضعك
+
+368
+00:29:28,710 --> 00:29:31,810
+عشان ما تخلصتيش فيها كمان مرة تمام .. ثم جاتني
+
+369
+00:29:31,810 --> 00:29:35,810
+طالبة بدها .. خربطة بالـspeed في إحدى اللكوزات
+
+370
+00:29:35,810 --> 00:29:39,250
+تمام؟ طبعا جايب الصوعة و ما شاء الله عليها في
+
+371
+00:29:39,250 --> 00:29:45,500
+المنافسة اللي هدعت كانت بـ500I زي 200G تمام؟ جت نجت
+
+372
+00:29:45,500 --> 00:29:48,420
+السويس جالس الـ700؟ جت نجت السويس جالس الـ700؟ جت
+
+373
+00:29:48,420 --> 00:29:49,240
+جت نجت السويس جالس الـ700؟ جت نجت السويس جالس
+
+374
+00:29:49,240 --> 00:29:53,000
+الـ700؟ جت نجت السويس جالس الـ700؟ جت نجت السويس
+
+375
+00:29:53,000 --> 00:29:55,680
+جالس الـ700؟ جت نجت السويس جالس الـ700؟ جت نجت
+
+376
+00:29:55,680 --> 00:30:01,060
+السويس جالس الـ700؟ جت نجت السويس جالس الـ700؟ جت
+
+377
+00:30:01,060 --> 00:30:07,500
+نجت السويس جالس الـ700؟ جت نجت السويس جالس الـ700؟
+
+378
+00:30:07,500 --> 00:30:11,680
+جت نجت السويس جالس الـ700؟ جت نجت السويس جالس
+
+379
+00:30:11,680 --> 00:30:19,410
+الـ700 قلت أنا بنفع في قانون
+
+431
+00:33:59,970 --> 00:34:03,530
+of a string مربوط في أحد طرفي حبل وهذا الحبل طوله
+
+432
+00:34:03,530 --> 00:34:09,090
+واحد متر long and is wired in a horizontal circle
+
+433
+00:34:09,090 --> 00:34:12,890
+وأنا لفّيته بـ horizontal circle هي horizontal
+
+434
+00:34:12,890 --> 00:34:15,850
+circle زي الهواية، الهواية لو تلف تصير horizontal
+
+435
+00:34:15,850 --> 00:34:20,930
+circle action in the figure find the maximum speed
+
+436
+00:34:20,930 --> 00:34:25,410
+the ball can attain بيقول لي إيش أكبر سرعة هتمشي
+
+437
+00:34:25,410 --> 00:34:28,110
+بالكرة without breaking the string بدون ما ينقطع
+
+438
+00:34:28,110 --> 00:34:32,890
+الحبل، علماً بأن الحبل بتحمل قوة مقدارها خمسمائة نيوتن
+
+439
+00:34:32,890 --> 00:34:37,920
+يعني، لو كانت القوة اللي على الحبل أكبر من
+
+440
+00:34:37,920 --> 00:34:41,220
+500 نيوتن، الله يسهل عليه الحبل، ما بيقدرش يتحمل أكثر
+
+441
+00:34:41,220 --> 00:34:43,980
+من كده، زي ما احنا نقول إن أنا عندي حبل وببدأ أربط
+
+442
+00:34:43,980 --> 00:34:47,700
+فيه كيس طحين، بيتحمل، طب أربط فيه خمس كياس، بيتحمل؟
+
+443
+00:34:47,700 --> 00:34:51,660
+لأ، إذًا إنه كل حبل له قدرة على التحمل،
+
+444
+00:34:51,660 --> 00:34:55,400
+تمام، بيقول لي، هي الكرة وهي الحبل وأنا ماشي فيه
+
+445
+00:34:55,400 --> 00:35:01,630
+هيك، متفقين؟ هنجي نشوف إيش في قوة بتأثر على
+
+446
+00:35:01,630 --> 00:35:06,170
+الـ الكرة وهي معلّقة في الهواء ومربوطة بحبل صح؟ في
+
+447
+00:35:06,170 --> 00:35:13,150
+غير إيه؟ كرة مربوطة بحبل ومُفلّطة في الهواء طبعًا
+
+448
+00:35:13,150 --> 00:35:19,030
+أول قوة؟ فيه قوة؟ حلو، وإيش في كمان؟ في
+
+449
+00:35:19,030 --> 00:35:24,210
+غيرهم؟ من هنا نتفق في غيرهم؟ ما فيش غيرهم MG، في حد
+
+450
+00:35:24,210 --> 00:35:29,680
+بعرفهاش؟ ممكن تكون مركزية؟ لأ..لأ..لأ تحت..
+
+451
+00:35:29,680 --> 00:35:33,240
+هيها..إيه؟ هيها.. وهي مركز.. المركز إيدكم،
+
+452
+00:35:33,240 --> 00:35:36,120
+تتباركوا في هذه الحالة، المركز هي إيدكم، هنا بيصير
+
+453
+00:35:36,120 --> 00:35:40,560
+الوضع أسهل للتخيل، تمام، لو واحد بيقول كيف الشد،
+
+454
+00:35:40,560 --> 00:35:43,780
+بقول طول الحبل، والحبل مار في إيدي ولا مش مار،
+
+455
+00:35:43,780 --> 00:35:47,140
+غصب عنه وبيكون مركزي، إذًا هي الشد المركزي، مش
+
+456
+00:35:47,140 --> 00:35:51,540
+غيرها، وMG مش مركزية، تمام، إذًا بيقول لي، هيها
+
+457
+00:35:51,540 --> 00:35:59,270
+لفت، ما شاء الله عليها كفة، تمام، بيقول الوزن الوزن
+
+458
+00:35:59,270 --> 00:36:05,610
+الوزن الوزن
+
+459
+00:36:05,610 --> 00:36:09,210
+الوزن الوزن الوزن الوزن الوزن الوزن الوزن الوزن
+
+460
+00:36:09,210 --> 00:36:13,420
+الوزن الوزن الوزن الوزن الوزن بسبب أن الوضع عادل
+
+461
+00:36:13,420 --> 00:36:18,360
+للطبق السفلي لأسفل، الوضع يبقى الوضع عادل للطبق
+
+462
+00:36:18,360 --> 00:36:19,740
+السفلي لأسفل، الوضع يبقى الوضع عادل للطبق السفلي
+
+463
+00:36:19,740 --> 00:36:20,920
+لأسفل، الوضع يبقى الوضع عادل للطبق السفلي لأسفل
+
+464
+00:36:20,920 --> 00:36:21,980
+الوضع يبقى الوضع عادل للطبق السفلي لأسفل الوضع
+
+465
+00:36:21,980 --> 00:36:23,000
+تبقى الوضع عادل للطبق السفلي لأسفل الوضع تبقى
+
+466
+00:36:23,000 --> 00:36:29,620
+الوضع عادل للطبق السفلي لأسفل الوضع تبقى الوضع
+
+467
+00:36:29,620 --> 00:36:34,380
+عادل للطبق السفلي لأسفل
+
+468
+00:36:34,380 --> 00:36:41,470
+الوضع تبقى الوضع طبعاً وهذه بدياها وهذه واحد متر مش
+
+469
+00:36:41,470 --> 00:36:48,470
+نفس القطر، هو طول الحبل، وهذه إذا طلعت 501 الله يسامحنا
+
+470
+00:36:48,470 --> 00:36:53,730
+عليه الحبل صح؟ بدأ تطلع أقل، إذًا بقول to find the
+
+471
+00:36:53,730 --> 00:36:58,390
+speed at the verge of breaking عند لحظة الانقطاع
+
+472
+00:36:58,390 --> 00:37:02,210
+تمام؟ we have to substitute for T by its breaking
+
+473
+00:37:02,210 --> 00:37:07,010
+value، حطينا 500، هذه أكبر قيمة ممكن يتحملها الحبل
+
+474
+00:37:07,010 --> 00:37:11,890
+فصارت the maximum، أكبر قيمة، هذه كلمة maximum
+
+475
+00:37:11,890 --> 00:37:21,640
+العظمى، بيساوي T maximum في R على M، هذه خمسمائة وهذه
+
+476
+00:37:21,640 --> 00:37:26,920
+واحد وهذه واحد، طلعت 22.4 متر بيرسا كانت جايباها كذا
+
+477
+00:37:26,920 --> 00:37:32,740
+سرعة أو أقل، الحبل بنقطعه لو كانت سرعتك 22.5 انقطع
+
+478
+00:37:32,740 --> 00:37:38,190
+الحبل، واضح يا بنات؟ في أي استفسار؟ إذًا هذا الـ
+
+479
+00:37:38,190 --> 00:37:42,290
+chapter هو عمّاله تكرار للـ chapter الماضي بس
+
+480
+00:37:42,290 --> 00:37:46,490
+المحاور اختلفت، بدل ما هو ساين وكوساين، صار عندي محور
+
+481
+00:37:46,490 --> 00:37:52,690
+مركزي، محور نصف قطري، احكي.. فاشي شيء جديد، المهم
+
+482
+00:37:52,690 --> 00:37:56,710
+أعرف القوة صح وأعرف اتجاهها احكي
+
+483
+00:38:14,090 --> 00:38:17,150
+كيف يعني الهواء اللي قدام؟ يعني الهواء لأ، ما بروح
+
+484
+00:38:17,150 --> 00:38:20,910
+لما تشتريها، تدور، تدور، فالهواء كله بيجي.. اه يعني
+
+485
+00:38:20,910 --> 00:38:26,350
+هيك ما بروحش هيك، صحيح؟ تمام، هو في الآخر الهواء
+
+486
+00:38:26,350 --> 00:38:31,810
+بيحرك اللي قبله، ما بيحركش اللي وراه، بتبقى، ما هو
+
+487
+00:38:31,810 --> 00:38:35,210
+الهواء، بيحرك، فبالتالي بيجي هيك، وين لما بيوصل
+
+488
+00:38:35,210 --> 00:38:39,150
+هناك، بيوصلش وراه، فهو بيحرك اللي هان، واللي هان
+
+489
+00:38:39,150 --> 00:38:42,210
+بيحرك اللي هان، واللي هان.. وكل ما مشيت عمله
+
+490
+00:38:42,210 --> 00:38:43,290
+بيخف التأثير
+
+491
+00:38:47,160 --> 00:38:50,860
+ليش على جهتين بتجيب هواء؟ يعني ليش على جهتين بتشتغل
+
+492
+00:38:50,860 --> 00:38:54,300
+شوي شوي وبتجيب هواء؟ أنتِ قصدك من خارج الهواية، زي
+
+493
+00:38:54,300 --> 00:38:57,320
+من هنا، من فوق ولا من تحت، صحيح؟ لأ، من فوق
+
+494
+00:38:57,320 --> 00:39:02,920
+ما بيصيرش فيه تحريك لأن الحركة بتجيب إلى الأسفل أو
+
+495
+00:39:02,920 --> 00:39:07,400
+من ناحية هادي، لأن أنا عندي أنا ملامس إليهم من
+
+496
+00:39:07,400 --> 00:39:11,520
+ناحية عادي ومن ناحية هذه ملامس لكن بيصير قوة
+
+497
+00:39:11,520 --> 00:39:17,140
+دوران الهواء بأثر على هذه الناحية أكثر من ناحيتي لو
+
+498
+00:39:17,140 --> 00:39:21,500
+أنتِ وجّهتي هنا هتلاقي فيه هواء بس خفيف، هتلاقي فيه بس
+
+499
+00:39:21,500 --> 00:39:26,480
+بيكون خفيف لأن مصممة هي أصلاً، أنتِ لو تشوفي الريش
+
+500
+00:39:26,480 --> 00:39:30,720
+مصممة مقعّرة من ناحية الخلفية ومحدّبة من ناحية
+
+501
+00:39:30,720 --> 00:39:34,080
+الأمامية عشان يكون تأثيرها أكبر من ناحية الأمامية
+
+502
+00:39:34,080 --> 00:39:38,320
+عنها من الخلفية، فالخلفية موجودة ولكن خفيفة جداً لأن
+
+503
+00:39:38,320 --> 00:39:41,740
+التأثير تبع تصميمها، لو كانت عجلة هيكون التأثير
+
+504
+00:39:41,740 --> 00:39:50,520
+متساوي، بتقعّر الريش تبع الجهوية طبعاً؟ طيب non
+
+505
+00:39:50,520 --> 00:39:55,040
+uniform circular motion، الشيء بتفرّج عن الـ uniform
+
+506
+00:39:55,040 --> 00:39:58,340
+circular motion، عشان نرجع للهواية، طبعاً الهواية
+
+507
+00:39:58,340 --> 00:40:01,940
+حركتها بتيجي في شبط العشرة، بس أنا في شبط العشرة لأن
+
+508
+00:40:01,940 --> 00:40:05,780
+في عندك قوة خارجية أثرت عليها اللي هي الموتور
+
+509
+00:40:05,780 --> 00:40:12,660
+الموتور اللي موجود، دورها هنا، لو كانت الـ speed مش
+
+510
+00:40:12,660 --> 00:40:17,690
+constant، إيش بدي يصير معيّ؟ طبعاً يا بنات، توقعوا
+
+511
+00:40:17,690 --> 00:40:20,170
+معي كالتالي، احنا بس بنتحدث شوية عشان نكمل المرات
+
+512
+00:40:20,170 --> 00:40:26,630
+الجاية، اتفقنا إن السرعة بتساوي
+
+513
+00:40:26,630 --> 00:40:33,090
+speed زائد direction صحيح
+
+514
+00:40:33,090 --> 00:40:41,190
+ولا لأ؟ هالـ gate الـ acceleration بيساوي Delta V على
+
+515
+00:40:41,190 --> 00:40:47,590
+Delta T، يعني معدل تغير السرعة بالنسبة للزمان الـ
+
+516
+00:40:47,590 --> 00:40:50,790
+Hub، إنه هذا فقط بيتغير.. قلنا في عندنا الـ
+
+517
+00:40:50,790 --> 00:40:54,550
+centripetal acceleration..صح؟ طيب لو هذا وهذا
+
+518
+00:40:54,550 --> 00:40:59,130
+بتغيّروا..أقول لكم التغير جال ولا زاد؟ زي.. يعني
+
+519
+00:40:59,130 --> 00:41:02,490
+بيتغيّر في الـ في الـ velocity فقط الـ direction ولا
+
+520
+00:41:02,490 --> 00:41:05,370
+الـ direction والـ والـ magnitude؟ مين أكبر
+
+521
+00:41:05,370 --> 00:41:10,470
+تغير؟ لما جينا نتغيّره، طيب في هذه الحالة الـ
+
+522
+00:41:10,470 --> 00:41:14,770
+acceleration هزيّج معناته صح؟ نرجع الـ acceleration
+
+523
+00:41:14,770 --> 00:41:18,830
+من ون نتجة من تغير السرعة صح؟ هيبقى إن السرعة
+
+524
+00:41:18,830 --> 00:41:22,310
+بتتغيّر بمعدل بسيط بقول acceleration بسيطة، السرعة
+
+525
+00:41:22,310 --> 00:41:25,190
+بتتغيّر بمعدل كبير بقول acceleration كبيرة، مش هيك
+
+526
+00:41:25,190 --> 00:41:30,990
+مضبوط؟ تمام، هجيت أنا السرعة جسمتها لجزء إيه؟ speed
+
+527
+00:41:30,990 --> 00:41:38,970
+وdirection، بدي أغيّر هذا بس طلعت أندي AR، صح؟ طيب لو
+
+528
+00:41:38,970 --> 00:41:43,550
+هذا بدّى يتغيّر، التغير زاد ولا جد؟ زاد..زاد..زاد
+
+529
+00:41:43,550 --> 00:41:44,770
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+530
+00:41:44,770 --> 00:41:44,790
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+531
+00:41:44,790 --> 00:41:46,150
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+532
+00:41:46,150 --> 00:41:46,950
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+533
+00:41:46,950 --> 00:41:48,670
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+534
+00:41:48,670 --> 00:41:54,310
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+535
+00:41:54,310 --> 00:41:54,990
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+536
+00:41:54,990 --> 00:41:55,530
+..زاد..زاد..زاد..زاد..زاد..زاد..زاد
+
+537
+00:41:55,530 --> 00:41:56,550
+..زاد..
+
+538
+00:41:59,740 --> 00:42:05,980
+إيديتك مركبة ثانية، إذًا لما كل speed بتتغيّر في عندك
+
+539
+00:42:05,980 --> 00:42:09,120
+مركبتين للـ acceleration، واحدة باتجاه المركز
+
+540
+00:42:09,120 --> 00:42:15,840
+والثانية عمودية على المركز، إيش هو؟ هجيت للمركز؟
+
+541
+00:42:15,840 --> 00:42:18,860
+عارفينها، المركبة الثانية لازم تكون عمودية على
+
+542
+00:42:18,860 --> 00:42:22,360
+الأولى، إيش عمودية على المركز؟ على نص القطر
+
+543
+00:42:22,360 --> 00:42:28,440
+الـMGR، إيش عمودية على نص القطر؟ أعطيكم القوة، إيش
+
+544
+00:42:28,440 --> 00:42:34,120
+عمودية على الأفقي؟ العمودية..أفضل عليك..العمودية
+
+545
+00:42:34,120 --> 00:42:38,220
+..إيش عمودية على الصين؟ الصحيح..ممتازين..إيش
+
+546
+00:42:38,220 --> 00:42:43,880
+عمودية على نص القطر؟ المماس..المماس..مش المماس
+
+547
+00:42:43,880 --> 00:42:46,220
+عمودية على نص القطر؟ هو الـ institute في المدارس..
+
+548
+00:42:46,220 --> 00:42:48,800
+ونحن بنعلمكم مدارس على الفضل؟ هذا كان جيبناكم من
+
+549
+00:42:48,800 --> 00:42:52,440
+الصف الأول وجيبناكم منه وخلصنا..كان رايحناكم..
+
+550
+00:42:52,440 --> 00:42:58,000
+المماس، إذًا معناته؟ إحداثياتي في الحركة الدورانية
+
+551
+00:42:58,000 --> 00:43:02,440
+نص قطره والإحداثي الثاني هو المماس، هذول عبارة عن
+
+552
+00:43:02,440 --> 00:43:06,880
+two perpendicular axes، تمام؟ إذًا الجملة اللي
+
+553
+00:43:06,880 --> 00:43:11,660
+بيقول لي إياها when the magnitude of the velocity is
+
+554
+00:43:11,660 --> 00:43:16,080
+not constant، الآن الـ magnitude مش ثابت but it
+
+555
+00:43:16,080 --> 00:43:19,640
+changes with time، we have the non uniform circular
+
+556
+00:43:19,640 --> 00:43:22,460
+motion، إذًا الـ non uniform circular motion اللي
+
+557
+00:43:22,460 --> 00:43:27,880
+بيكون الـ speed مش ثابت، التغيير في السرعة..التغيير
+
+558
+00:43:27,880 --> 00:43:35,060
+في الـ magnitude سيضيف إضافة لتغيير السرعة..سيضيف
+
+559
+00:43:35,060 --> 00:43:41,480
+مساهمة جداً لتغيير السرعة، لأن تغيير السرعة زاد
+
+560
+00:43:41,480 --> 00:43:47,210
+تمام، بيقول الـ acceleration في النهاية vector وأنا
+
+561
+00:43:47,210 --> 00:43:51,230
+بقدر أحللها إلى مركبتين متعامدتين ولا لأ، زيها زي أي
+
+562
+00:43:51,230 --> 00:43:56,300
+vector، resolving the acceleration vector متجه الـ
+
+563
+00:43:56,300 --> 00:44:00,100
+acceleration into two perpendicular components
+
+564
+00:44:00,100 --> 00:44:05,600
+الشمال الـ radial بتجاه نص القطر and tangential
+
+565
+00:44:05,600 --> 00:44:11,620
+المماسية، if إن صيغة الـ acceleration تبعتك الآن AR
+
+566
+00:44:11,620 --> 00:44:19,430
+و A ثيتا، يعني باتجاه الزاوية بسمّيها مماسية، AR لو
+
+567
+00:44:19,430 --> 00:44:24,910
+كتبت أنا هيك، آخر حاجة، هذي a x بتجاه الـ I زي دي a y
+
+568
+00:44:24,910 --> 00:44:29,970
+بتجاه الـ J، في حد بيعترض عليها؟ لأ، شو هو I و J؟ الـ
+
+569
+00:44:29,970 --> 00:44:34,930
+I والـ J يعني أنت عارفينه، حلو، هذي مركبة سينية،
+
+570
+00:44:34,930 --> 00:44:37,830
+هذي بتجاه السين، هذي مركبة صادية، هذي بتجاه الصاد،
+
+571
+00:44:37,830 --> 00:44:42,270
+هذي مركبة نصف قطرية، هذي بتجاه نصف القطر، وهذي مركبة
+
+572
+00:44:42,270 --> 00:44:47,770
+مماسية، هذي بتجاه المماس، إذًا هذول التنتين الـ R
+
+573
+00:44:47,770 --> 00:44:51,510
+فوقها القبعة والثيتا فوقها القبعة، الـ hat هي عبارة
+
+574
+00:44:51,510 --> 00:44:57,310
+عن unit vectors، unit vectors، unit
+
+575
+00:44:57,310 --> 00:45:01,050
+vector along the radius وunit vector along the
+
+576
+00:45:01,050 --> 00:45:04,570
+tangent، يلا يعطيكم العافية
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c641a4c10edfbdbddbd1e0e645562e7db431c450
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3708, "start": 21.04, "end": 37.08, "text": "بعدها بسم الله الرحمن الرحيم هنبدأ اليوم بال chapter الخامس اللي عنوانه circular motion and gravitation أخدنا في ال chapter التاني .. التالت sorry نبدأ بسيطة عن ال circular motion", "tokens": [3555, 22488, 11296, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8032, 1863, 44510, 10721, 45595, 20498, 20666, 7187, 33962, 10943, 3794, 13672, 1829, 18871, 2407, 7649, 3224, 16476, 5394, 293, 7427, 4614, 5551, 9778, 3215, 8315, 8978, 2423, 7187, 16712, 7649, 1829, 4386, 16712, 6027, 2655, 2597, 8717, 44510, 10721, 4724, 3794, 1829, 9566, 3660, 18871, 2423, 16476, 5394], "avg_logprob": -0.15877015528178984, "compression_ratio": 1.592814371257485, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 21.04, "end": 21.42, "word": "بعدها", "probability": 0.822265625}, {"start": 21.42, "end": 21.6, "word": " بسم", "probability": 0.92236328125}, {"start": 21.6, "end": 21.82, "word": " الله", 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"text": "كيف تجعلها تتلوف؟ ليس هناك احتكاك فالقوة المسؤولة عن دوران السيارة هي قوة الاحتكاك لايوجد احتكاك في السيارة بالدريش اطلاقا فهو يقول لي انا ارصد", "tokens": [4117, 33911, 6055, 7435, 30241, 11296, 6055, 2655, 1211, 38688, 22807, 32239, 3794, 34105, 4117, 1975, 33753, 4117, 995, 4117, 6156, 6027, 4587, 2407, 3660, 9673, 3794, 33604, 12610, 3660, 18871, 11778, 13063, 7649, 21136, 1829, 9640, 3660, 39896, 12174, 2407, 3660, 42963, 33753, 4117, 995, 4117, 20193, 1829, 29245, 3215, 1975, 33753, 4117, 995, 4117, 8978, 21136, 1829, 9640, 3660, 20666, 3215, 16572, 8592, 1975, 9566, 15040, 4587, 995, 6156, 3224, 2407, 7251, 39648, 32239, 1975, 8315, 1975, 2288, 9381, 3215], "avg_logprob": -0.447289142263941, "compression_ratio": 1.7945205479452055, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 843.06, "end": 843.54, "word": "كيف", "probability": 0.5404052734375}, {"start": 843.54, "end": 843.96, "word": " تجعلها", "probability": 0.58905029296875}, {"start": 843.96, 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"probability": 0.8761393229166666}, {"start": 2675.35, "end": 2675.89, "word": " الصين،", "probability": 0.9498697916666666}, {"start": 2675.89, "end": 2676.19, "word": " هذي", "probability": 0.9703776041666666}, {"start": 2676.19, "end": 2676.51, "word": " مركبة", "probability": 0.96533203125}, {"start": 2676.51, "end": 2676.95, "word": " صادية،", "probability": 0.665924072265625}, {"start": 2676.95, "end": 2676.95, "word": " هذي", "probability": 0.966796875}, {"start": 2676.95, "end": 2677.17, "word": " بتجاه", "probability": 0.9689127604166666}, {"start": 2677.17, "end": 2677.83, "word": " الصاد،", "probability": 0.8621419270833334}, {"start": 2677.83, "end": 2678.33, "word": " هذي", "probability": 0.9664713541666666}, {"start": 2678.33, "end": 2678.89, "word": " مركبة", "probability": 0.9881184895833334}, {"start": 2678.89, "end": 2679.45, "word": " وسقطرية،", "probability": 0.74443359375}, {"start": 2679.45, "end": 2679.59, "word": " هذي", "probability": 0.9303385416666666}, 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3215, 12610, 16712, 29399, 9957, 2423, 39184, 49, 6156, 30543, 11296, 16712, 4587, 10632, 16070, 12984, 36081, 995, 6156, 30543, 11296, 16712, 4587, 10632, 2423, 39184, 2385, 39896, 6225, 3555, 9640, 3660, 18871, 4985, 18875, 4985, 18875, 4985, 8062, 2051, 264, 15845, 4032, 4985, 8062, 2051, 264, 27747, 7251, 6027, 995, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.28784178430214524, "compression_ratio": 1.6883116883116882, "no_speech_prob": 0.0, "words": [{"start": 2685.55, "end": 2685.87, "word": "أذن", "probability": 0.6402994791666666}, {"start": 2685.87, "end": 2686.29, "word": " هدول", "probability": 0.8037109375}, {"start": 2686.29, "end": 2686.97, "word": " التنتين", "probability": 0.744873046875}, {"start": 2686.97, "end": 2687.77, "word": " الـR", "probability": 0.4991048177083333}, {"start": 2687.77, "end": 2688.17, "word": " فوقها", "probability": 0.769287109375}, {"start": 2688.17, "end": 2688.67, "word": " التقية", "probability": 0.6778971354166666}, {"start": 2688.67, "end": 2689.51, "word": " والثيتا", "probability": 0.6348876953125}, {"start": 2689.51, "end": 2689.83, "word": " فوقها", "probability": 0.8763020833333334}, {"start": 2689.83, "end": 2690.19, "word": " التقية", "probability": 0.955078125}, {"start": 2690.19, "end": 2690.39, "word": " الـ", "probability": 0.8056640625}, {"start": 2690.39, "end": 2690.65, "word": " hat", "probability": 0.2294921875}, {"start": 2690.65, "end": 2691.15, "word": " هي", "probability": 0.814453125}, {"start": 2691.15, "end": 2691.51, "word": " عبارة", "probability": 0.9945068359375}, {"start": 2691.51, "end": 2691.67, "word": " عن", "probability": 0.97802734375}, {"start": 2691.67, "end": 2691.87, "word": " unit", "probability": 0.9306640625}, {"start": 2691.87, "end": 2692.45, "word": " vectors", "probability": 0.947265625}, {"start": 2692.45, "end": 2693.39, "word": " unit", "probability": 0.6572265625}, {"start": 2693.39, "end": 2694.11, "word": " vectors", 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b73ce01afa4026bef5fbc7cc5b0eca0c39dd097d
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/2RGmhxnkfTs_raw.srt
@@ -0,0 +1,2320 @@
+1
+00:00:21,040 --> 00:00:23,240
+بعدها بسم الله الرحمن الرحيم هنبدأ اليوم بال
+
+2
+00:00:23,240 --> 00:00:28,440
+chapter الخامس اللي عنوانه circular motion and
+
+3
+00:00:28,440 --> 00:00:32,700
+gravitation أخدنا في ال chapter التاني .. التالت
+
+4
+00:00:32,700 --> 00:00:38,910
+sorry نبدأ بسيطة عن ال circular motionاليوم بدنا
+
+5
+00:00:38,910 --> 00:00:44,030
+ناخدها بالتفصيل بالإضافة إلى قانون الجذب العام
+
+6
+00:00:44,030 --> 00:00:48,450
+اللي له إرتباط كبير بالـcircular motion زي ما
+
+7
+00:00:48,450 --> 00:01:02,990
+انتوا عارفين أغلب حركة الكواكب ..مش
+
+8
+00:01:02,990 --> 00:01:04,110
+هي مش العالم؟
+
+9
+00:01:12,920 --> 00:01:18,220
+تمام بالتالي اليوم بدنا نعيد الـ circular motion
+
+10
+00:01:18,220 --> 00:01:23,780
+بتفصيل أكتر و نشوف تطبيق قانوني Newton التاني بها
+
+11
+00:01:23,780 --> 00:01:30,170
+كذاحركات طبعا الحركة الدورانية حركة موجودة ومهلوفة
+
+12
+00:01:30,170 --> 00:01:33,450
+وبتشوفوها دايما لو شغلتي الهواية مش في حركة
+
+13
+00:01:33,450 --> 00:01:36,570
+دورانية بتصير وفي حركات كتيرة حركة دورانية
+
+14
+00:01:36,570 --> 00:01:41,550
+وبالتالي بنتعامل معاها بالتفصيل هنرجع الحركة
+
+15
+00:01:41,550 --> 00:01:45,110
+الدورانية ندرسها كمان مرة بالتفصيل في شبط العشرة
+
+16
+00:01:45,110 --> 00:01:49,850
+ان شاء الله أول حاجة هناخدها هي الcentripetal
+
+17
+00:01:49,850 --> 00:01:55,970
+force أو القوة المركزية centripetal forceفي الـ
+
+18
+00:01:55,970 --> 00:02:00,270
+chapter التالت أخر section اتفقنا التالت قلنا لما
+
+19
+00:02:00,270 --> 00:02:04,530
+يكون في جسم بدورة حواليها حركة دائرية حوالين دائرة
+
+20
+00:02:04,530 --> 00:02:09,510
+بتحرك حركة دورانية إذا ال speed تبعته ثابتة بنقول
+
+21
+00:02:09,510 --> 00:02:14,490
+عنها uniform circular motion صحيح ولا لأ؟ ال speed
+
+22
+00:02:14,490 --> 00:02:18,630
+constant، ال velocity is constant ال velocity is
+
+23
+00:02:18,630 --> 00:02:21,770
+not constant، it is .. تمام، إذا ال nation بتغير
+
+24
+00:02:21,770 --> 00:02:25,720
+فيها؟ ال directionنتيجة هذا التغير في الـ
+
+25
+00:02:25,720 --> 00:02:28,360
+direction بيطلع عندي acceleration سميتها
+
+26
+00:02:28,360 --> 00:02:32,160
+centripetal acceleration تمام؟ و جبتها في ال quiz
+
+27
+00:02:32,160 --> 00:02:37,280
+اه .. و سألتوني و في كتير مش عارفين مع أنه حكيتها
+
+28
+00:02:37,280 --> 00:02:43,770
+و مكتوبة و الأسئلة غالبا بتكون مذكورة تمام؟بقول it
+
+29
+00:02:43,770 --> 00:02:46,510
+is known that it is known من الشبطر تلاتة يعني
+
+30
+00:02:46,510 --> 00:02:51,210
+حكينا هذا الموضوع if a particle moves with
+
+31
+00:02:51,210 --> 00:02:57,450
+constant speed V in a circular path of radius R
+
+32
+00:02:57,450 --> 00:03:01,110
+هذه المعلومة اللي أخدناها في الشبطر تلاتة ال
+
+33
+00:03:01,110 --> 00:03:04,710
+particle it تعود على ال particle acquires a
+
+34
+00:03:04,710 --> 00:03:08,510
+centripetal acceleration ال particle بيكتسب تسارق
+
+35
+00:03:08,510 --> 00:03:13,860
+مركزي ليه سمته مركزي؟عشان اتجاهه نحو المركز
+
+36
+00:03:13,860 --> 00:03:18,080
+ذاكرين؟ الـ centripetal acceleration due to the
+
+37
+00:03:18,080 --> 00:03:20,840
+change in the direction of the particles velocity
+
+38
+00:03:20,840 --> 00:03:24,600
+من وين ال natural acceleration؟ نتيجة تغيير ال
+
+39
+00:03:24,600 --> 00:03:28,140
+direction تبع ال velocity واضح؟ لأن ال velocity
+
+40
+00:03:28,140 --> 00:03:31,240
+لها magnitude و direction المagnitude اللي هو ال
+
+41
+00:03:31,240 --> 00:03:34,660
+speed ثابتماذا تظهر في الفيديو؟ اتغيرت الـ
+
+42
+00:03:34,660 --> 00:03:38,560
+Direction اتغيرت الـ Direction إذا نتيجة تغير
+
+43
+00:03:38,560 --> 00:03:41,900
+الفلوسة صار عندى acceleration سميتها centripetal
+
+44
+00:03:41,900 --> 00:03:45,800
+acceleration واتفقنا الـ direction of this
+
+45
+00:03:45,800 --> 00:03:48,580
+acceleration is towards the center of the circle
+
+46
+00:03:48,580 --> 00:03:52,580
+عشان كده سميتها centripetal تمام واتفقنا إنه تُعطى
+
+47
+00:03:52,580 --> 00:03:56,580
+بهذه العلاقة صحيح ولا لأ؟ وقلنا إنها اشتقاق موجود
+
+48
+00:03:56,580 --> 00:03:59,820
+في الكتاب اللي قرأه قرأه ولي مش مقرأه مش مطموض
+
+49
+00:03:59,820 --> 00:04:07,790
+منكم اجيبوا اشتقاقهAR V تربيع على R هجيت انتوا
+
+50
+00:04:07,790 --> 00:04:13,790
+واخدتوا لو انا كتبت A و X ايش هدي اللي هي معنى
+
+51
+00:04:13,790 --> 00:04:24,790
+عندكم؟ مركبة سلية وAY تمها هجيت AR مركبة آرية
+
+52
+00:04:24,790 --> 00:04:28,450
+دعونا نقول استخدمها لأ الشيء ال X يعني من تجاه ال
+
+53
+00:04:28,450 --> 00:04:34,500
+XR باتجاه الـ R يعني صح ولا لأ؟ الـ R بالنسبة لي
+
+54
+00:04:34,500 --> 00:04:39,580
+مش هو مركز .. نص خطر؟ R تمام، إذن هذه معناته
+
+55
+00:04:39,580 --> 00:04:45,440
+باتجاه أنصاف الأقطار، هي في كرسي يا بنات هناك انا
+
+56
+00:04:45,440 --> 00:04:49,900
+عندي واحد، و بتلاقي أقولكم واحد، ايوة لقيته اتنين،
+
+57
+00:04:49,900 --> 00:04:56,870
+تمامو بالتأجو يمكن هنا ولا هنا المهم إذا هذي ال R
+
+58
+00:04:56,870 --> 00:05:02,890
+along the radius along the radius يعني دليل علينها
+
+59
+00:05:02,890 --> 00:05:06,450
+باتجاه المركزي ولا عمرنا أسمعنا نص قطر بومرش في
+
+60
+00:05:06,450 --> 00:05:12,280
+مركز؟لأ طبعا لأن تعريف نص القطر هي المسافة بين
+
+61
+00:05:12,280 --> 00:05:17,900
+المركز و أي نقطة على المحير معروفة اذا R صارت زي X
+
+62
+00:05:17,900 --> 00:05:25,260
+وصارت زي Y مركبة نص قطرية او radial component
+
+63
+00:05:25,260 --> 00:05:30,220
+بيساوي تربيع على R حلو اذا ال R عرفنا زيها X زي Y
+
+64
+00:05:30,220 --> 00:05:33,360
+هذه بقول عنها along the X axis هذه along the Y
+
+65
+00:05:33,360 --> 00:05:40,700
+axis هذه along the radius axisتمع طيب جالي في شبطر
+
+66
+00:05:40,700 --> 00:05:44,960
+4 إيش أخدت؟ قانون النيوتن التاني، ذاكرينه؟ قانون
+
+67
+00:05:44,960 --> 00:05:49,200
+النيوتن التاني اللي كان بيقولي F بساوي NA جالي في
+
+68
+00:05:49,200 --> 00:05:54,040
+مجال يكون في عندك acceleration دو قوة؟لأ هاي نيوتن
+
+69
+00:05:54,040 --> 00:05:57,980
+التاني بيقولك مستحيل يكون acceleration إذا قول إيه
+
+70
+00:05:57,980 --> 00:06:01,920
+اللي خلّها هذه؟ مين اللي جابها؟ يعني أي قوة مسئولة
+
+71
+00:06:01,920 --> 00:06:06,340
+عنها إذا لابد من وجود قوة مسئولة عنها كذا
+
+72
+00:06:06,340 --> 00:06:10,080
+acceleration إذا ال Newton's second law this
+
+73
+00:06:10,080 --> 00:06:14,680
+acceleration must or should be due to a force
+
+74
+00:06:14,680 --> 00:06:20,690
+تمام؟ called the centripetal forceعندي ax تسارع
+
+75
+00:06:20,690 --> 00:06:26,990
+سيلي تتوقع ممكن أنك تبقى في هنا لازم ال F تكون X
+
+76
+00:06:26,990 --> 00:06:32,310
+إذا زي ما التسارع مركزي القوة بدا تكون مركزية يعني
+
+77
+00:06:32,310 --> 00:06:37,430
+اتجاه القوة مركزية عشان القوة باتجاه المركزي سموها
+
+78
+00:06:37,430 --> 00:06:43,040
+قوة مركزية centripetal force تمامطب الـ Newton ليش
+
+79
+00:06:43,040 --> 00:06:49,780
+بيقول F بيساوي MA فقالت FA بيساوي MA وAR هي نفسها
+
+80
+00:06:49,780 --> 00:06:53,420
+دي V تربيع على R إذاً هذا قانون الـ Newton التاني
+
+81
+00:06:53,420 --> 00:06:57,280
+أسهل ليش؟ لأن الـ acceleration معروفة V تربيع على
+
+82
+00:06:57,280 --> 00:07:00,980
+R ليش إذا كان يقولي أودد ال acceleration لهي V
+
+83
+00:07:00,980 --> 00:07:04,780
+تربيع على R أودد V وممكن مرات V أعطيكم إيها تمام
+
+84
+00:07:04,780 --> 00:07:11,390
+يا بنات؟ حلو هذي بيسموها الـ centripetalforce الـ
+
+85
+00:07:11,390 --> 00:07:17,790
+centripetal force حلو بقولي هالجيت مرة واحدة بنسأل
+
+86
+00:07:17,790 --> 00:07:23,130
+الطلار في جسم بتحرك ايش المسؤول عن حركته؟ بقولي
+
+87
+00:07:23,130 --> 00:07:28,850
+القوة المركزية بقى مابنفعش القوة المركزية ماهياش
+
+88
+00:07:28,850 --> 00:07:32,490
+نوع من أنواع القوة بنفع واحد يقولي مين بيأثر على
+
+89
+00:07:32,490 --> 00:07:37,040
+الجسم اقوله هو القوة السينيةماينفعش، مين بيأثر على
+
+90
+00:07:37,040 --> 00:07:39,340
+الجسم لما كنا نرسم الـ Free Body Diagram؟ ماش كنا
+
+91
+00:07:39,340 --> 00:07:43,980
+نقول NG و كنا نقول N و كنا نقول Friction، مظبوط
+
+92
+00:07:43,980 --> 00:07:47,080
+ولا لا؟ و كنا نقول Shad؟ عموا كنا رسمنا في الـ
+
+93
+00:07:47,080 --> 00:07:51,120
+Free Body Diagram، حطينا F و حطينا عليها FX؟ لأ،
+
+94
+00:07:51,120 --> 00:07:55,340
+ماحطش FX على نفس الرسمة، من هذه القوة كنا نقول مين
+
+95
+00:07:55,340 --> 00:08:00,420
+هو سيني و مين هو صادق، إذا القوة المركزية كاسم
+
+96
+00:08:00,420 --> 00:08:05,240
+ماهياش نوع من أنواع القوةواضح؟ it should be noted
+
+97
+00:08:05,240 --> 00:08:09,520
+that any force in nature أي قوة اللي بتعرفوها mg
+
+98
+00:08:09,520 --> 00:08:16,260
+شد friction in كل القوة اللي مرت عليكم any force
+
+99
+00:08:16,260 --> 00:08:19,300
+in nature can be treated as a centripetal force
+
+100
+00:08:19,300 --> 00:08:23,600
+ممكن اعتبارها قوة مركزية مين اللي بيحدد؟ اتجاهها
+
+101
+00:08:23,600 --> 00:08:27,300
+إذا نحو المركز بقولها المركزية صح ولا لا؟ أو
+
+102
+00:08:27,300 --> 00:08:30,920
+باتجاه أنصاف الأقطارإذا كانت تعمل على حركة في
+
+103
+00:08:30,920 --> 00:08:36,460
+اتجاه يتجاه مركز الطريق الحركي تتبع الحركة يعني
+
+104
+00:08:36,460 --> 00:08:42,260
+بمعنى اخر بقول الكلمة الـ centripetal هذه تتعرف
+
+105
+00:08:42,260 --> 00:08:47,420
+على اتجاهها دي بتشيرلك direction of the force and
+
+106
+00:08:47,420 --> 00:08:51,020
+not a new kind of forces مافيش عندي قوة اسمها قوة
+
+107
+00:08:51,020 --> 00:08:55,820
+مركزية أو قوة طاردة مركزية زي ما اتمرضت عن الكلمة
+
+108
+00:08:55,820 --> 00:08:59,040
+العامية قوة طاردة مركزية مافيش حاجة اسمها قوة
+
+109
+00:08:59,040 --> 00:09:04,930
+طاردة مركزية ولا قوة مركزية تمام؟ حلوIt is like
+
+110
+00:09:04,930 --> 00:09:07,250
+horizontal or vertical؟ بيقول الـ Sentry بتاعت زي
+
+111
+00:09:07,250 --> 00:09:10,130
+ال vertical زي ال horizontal قوة أفقية أو قوة
+
+112
+00:09:10,130 --> 00:09:13,950
+عمودية أمورناش قولنا اللي بيأثر قوة عمودية ولا قوة
+
+113
+00:09:13,950 --> 00:09:18,990
+أفقية اللي بيأثر MG in friction شد صح ولا لا هذه
+
+114
+00:09:18,990 --> 00:09:23,430
+القوة اللي بعرفها أو قوة مغناطسية قوة كهربية كلها
+
+115
+00:09:23,430 --> 00:09:28,170
+قوة حقيقية بعرفها أما قوة مركزية أو قوة طاردة
+
+116
+00:09:28,170 --> 00:09:33,640
+مركزية مافيش منهمكنوع من أنواع القوة زي مافيش قوة
+
+117
+00:09:33,640 --> 00:09:38,260
+أفقية أو قوة عمودية كنوع من أنواع القوة هذا بديل
+
+118
+00:09:38,260 --> 00:09:43,800
+على ال direction مش أكتر تمام إذا أنا عندي في هذا
+
+119
+00:09:43,800 --> 00:09:47,540
+ال chapter مافيش شيء جديد chapter 4 القانون الوحيد
+
+120
+00:09:47,540 --> 00:09:52,080
+اللي كنت أطبقه هو ال acceleration هو نفسه يا بنا
+
+121
+00:09:53,050 --> 00:09:55,910
+أنا هذه المرة جسمتها لصيني وصالي، هل ذاكرين؟ هذه
+
+122
+00:09:55,910 --> 00:10:01,070
+المرة بدي أجيبها و أحط هنا R وهذه أحط محلها R بدل
+
+123
+00:10:01,070 --> 00:10:04,470
+صيني وصالي أجيبها نص قطري صحيح؟ عدنا هنجيبكما
+
+124
+00:10:04,470 --> 00:10:09,550
+مركبة هذه لها ميزة إنها دايما V تربيع على R و
+
+125
+00:10:09,550 --> 00:10:16,310
+دايما باتجاه المركز إذن في خصوصية لهذه التسارع إنه
+
+126
+00:10:16,310 --> 00:10:21,350
+مركز يسموه عشان هو باتجاه المركز و تساوي V² over R
+
+127
+00:10:21,350 --> 00:10:27,140
+تمامبدنا نبدأ نشوف كيف نطبقه بيقوللي أسهل تطبيق
+
+128
+00:10:27,140 --> 00:10:31,900
+أنت دايما بتشوفه بيقوللي a flat unbanked curve
+
+129
+00:10:31,900 --> 00:10:38,220
+أمكم شوفت دوار في الشارع؟ أه فيه صحيح ولا لا؟ دوار
+
+130
+00:10:38,220 --> 00:10:41,920
+.. دوار .. أي دوار؟ تمام؟ اللي بنفه عليه حلو
+
+131
+00:10:41,920 --> 00:10:47,900
+بيقوللي في عندك flat يعني عدل مش .. مش مائل تمام؟
+
+132
+00:10:47,900 --> 00:10:51,920
+مستوي تمام unbanked يعني مالوش حفاف هي bank يعني
+
+133
+00:10:53,480 --> 00:10:57,440
+Careful on a highway في شارع واسع وكبير وسريع زي
+
+134
+00:10:57,440 --> 00:11:01,920
+ما نسميه highway طبعا هيوية كلمة مية عامية صحيح
+
+135
+00:11:01,920 --> 00:11:06,440
+تمام has a radius of one hundred meters كل دوار ما
+
+136
+00:11:06,440 --> 00:11:10,210
+هو دويرة أنه نسقطهبس قطر 100 متر if the
+
+137
+00:11:10,210 --> 00:11:13,210
+coefficient of static friction between the tires
+
+138
+00:11:13,210 --> 00:11:18,610
+اعجال السيارة and the road والطريق is 0.2 طبعا في
+
+139
+00:11:18,610 --> 00:11:21,910
+النهاية الأسفل اتخشن في معامل احتكاك قال لي معامل
+
+140
+00:11:21,910 --> 00:11:26,740
+احتكاك 0.2 طيب what is the maximum speed؟the car
+
+141
+00:11:26,740 --> 00:11:30,240
+we will have in order to round the curve
+
+142
+00:11:30,240 --> 00:11:33,860
+successfully طبعا في الشوارع و اللي بتعرف السوق
+
+143
+00:11:33,860 --> 00:11:37,060
+بتعرف انه اي منحنى في الشارع المفروض يكون فيه
+
+144
+00:11:37,060 --> 00:11:41,460
+إشارة مرورية عشان تهدأ الصراعة لأنه لو ماهددتش
+
+145
+00:11:41,460 --> 00:11:46,700
+الصراعة بتجلبمظبوط ولا لأ؟ بيقولي طب هذا الضوار
+
+146
+00:11:46,700 --> 00:11:50,880
+بهذه المواصفات إيش أقصى سرعة ممكن أفوتها عشان
+
+147
+00:11:50,880 --> 00:11:54,960
+ماجلبش؟ عشان أقول للبلد يحط جرمة ال maximum نفترض
+
+148
+00:11:54,960 --> 00:11:57,480
+خمسين كيلو متر في الساعة ولا أربعين كيلو متر في
+
+149
+00:11:57,480 --> 00:12:01,180
+الساعة كيه بده أحطها؟ بيحطها عشوائية في حسابات،
+
+150
+00:12:01,180 --> 00:12:06,720
+بدنا نحسبها عشان السيارة ماتجلبشتمام؟ إحنا متفقين
+
+151
+00:12:06,720 --> 00:12:10,040
+أول أن السيارة لما تلف تتحرك حركة دورانية ولا لأ؟
+
+152
+00:12:10,040 --> 00:12:16,060
+أه إذا موضوعنا إذا في حركة دورانية إذا في تسارع
+
+153
+00:12:16,060 --> 00:12:21,460
+مركزي إذا قطعا بدي أدور ما هو القوة المسئولة عن
+
+154
+00:12:21,460 --> 00:12:25,580
+هذا التسارع بدون قوة تتحركش السيارة ولا ممكن تلف
+
+155
+00:12:25,580 --> 00:12:31,400
+تمام؟ هاي الدوار بس أفقي مش عمودي بيكون صح؟هو
+
+156
+00:12:31,400 --> 00:12:37,020
+بيكون أفضل حلو وهي صيّرتنا حمرا لإن نجّنها دماء
+
+157
+00:12:37,020 --> 00:12:43,070
+العصر إنها بتمشي هنابالضبط، ما جلبتش، الحمد لله
+
+158
+00:12:43,070 --> 00:12:48,390
+تمام، بناشوفش عليها قوة إحنا متفقين عشان أطبق هكذا
+
+159
+00:12:48,390 --> 00:12:53,190
+قانون هذا، فاهمينه، V تربيع على R والله R مدينيها
+
+160
+00:12:53,190 --> 00:12:57,150
+مية، صح ولا؟ و ال V بدوياها أصلا، what is the
+
+161
+00:12:57,150 --> 00:13:01,550
+maximum speed؟ بده V تمام، و ال M؟ بنجيبها، إذا مش
+
+162
+00:13:01,550 --> 00:13:06,590
+موجودة، بندور عليها، بدي أفقار، بدي أفقار هجيت
+
+163
+00:13:06,590 --> 00:13:08,750
+أنتوا متخيلين الشارع ولا لا؟ عمكم شوفت شارع؟
+
+164
+00:13:09,190 --> 00:13:14,670
+شايفينه؟ وشفتوا عليه سيارة؟ تمام، هاي سيارة و هاي
+
+165
+00:13:14,670 --> 00:13:19,870
+الشارع، إيش عليها القوة؟ احكي؟ وزنها؟ شوفوا،
+
+166
+00:13:19,870 --> 00:13:24,970
+السيارة اعتبروها box، بس ووزن، وإيش كمان؟ والإن
+
+167
+00:13:24,970 --> 00:13:28,870
+لفوق، والاحتكاك، والاحتكاك، براو عليكم، بستنى شوية
+
+168
+00:13:28,870 --> 00:13:33,450
+عادى هجيت احنا بدنا من هاتلت قوة، مين منهم باتجاه
+
+169
+00:13:33,450 --> 00:13:42,380
+المركز، صح ولا لأ؟خلّينا نشوف، و هي بتلف ممكن ان
+
+170
+00:13:42,380 --> 00:13:46,760
+تمدوها لما تصل السماء، بتصل المركز؟ المركز هيه، طب
+
+171
+00:13:46,760 --> 00:13:51,060
+و ال MG؟ انه مدوها لما تصل جاى عن الأرض، بتصل
+
+172
+00:13:51,060 --> 00:13:55,980
+المركز؟ طب الاحتكاك كيف بيكون؟ هو الوحيد، هو القوة
+
+173
+00:13:55,980 --> 00:14:00,400
+الوحيدة المسؤولة عن الدوران عشان كده لو كانت فيه
+
+174
+00:14:00,400 --> 00:14:04,460
+تلج، بتلفش السيارةكيف تجعلها تتلوف؟ ليس هناك
+
+175
+00:14:04,460 --> 00:14:10,720
+احتكاك فالقوة المسؤولة عن دوران السيارة هي قوة
+
+176
+00:14:10,720 --> 00:14:14,160
+الاحتكاك لايوجد احتكاك في السيارة بالدريش اطلاقا
+
+177
+00:14:14,160 --> 00:14:16,380
+فهو يقول لي انا ارصد
+
+178
+00:14:19,070 --> 00:14:23,230
+هنا يوجد ثلاث قوات تعمل على السيارة حسب ما بعرف
+
+179
+00:14:23,230 --> 00:14:28,930
+عندي ثلاث قوات اللي ذكرتهوا في عندي M G وفي عندي F
+
+180
+00:14:28,930 --> 00:14:34,310
+S وفي عندي N خلّيني أقول الوزن الوزن والقوة
+
+181
+00:14:34,310 --> 00:14:37,270
+الطبيعية تعمل تجاربًا للطائرة طبعًا عشان أنا جالبت
+
+182
+00:14:37,270 --> 00:14:41,010
+الشارع فال M G المفروض لدوا و ال N لو على اللي
+
+183
+00:14:41,010 --> 00:14:44,310
+عندكم صح ولا لأ فمش قادر أرسمهم لكن هين كاتبهم
+
+184
+00:14:44,310 --> 00:14:49,460
+بقول لي ال weight وال normal force اللي هي NAct
+
+185
+00:14:49,460 --> 00:14:52,340
+perpendicular to the plane of motion عمودي على
+
+186
+00:14:52,340 --> 00:14:58,200
+اللوح واحدة عليكم و واحدة متجاه المركز تبع الأرض
+
+187
+00:14:58,200 --> 00:15:02,180
+طبعا تمام and the static frictional force parallel
+
+188
+00:15:02,180 --> 00:15:06,020
+to the road بيقول قوة الاحتكاك مش اتعلمنا لازم
+
+189
+00:15:06,020 --> 00:15:10,720
+تكون موازية للأسطح المتلامسة إذا غصب عنها لازم
+
+190
+00:15:10,720 --> 00:15:15,820
+تكون موازية للشارعصح ولا لأ؟ إذا نغص من عنها، بدأت
+
+191
+00:15:15,820 --> 00:15:21,420
+تكون مركزية، مافي مجال، هي هذه أفعال الوحيدة تمام
+
+192
+00:15:21,420 --> 00:15:26,140
+قال لي حلو الـ Static Frictional Force هو الوحيد
+
+193
+00:15:26,140 --> 00:15:32,340
+الوحيد اللي يعمل في مجال الـ Curve مافي غيرها هي
+
+194
+00:15:32,340 --> 00:15:35,600
+الوحيدة اللي موجودة لأنها القوة المركزية بالقطع
+
+195
+00:15:35,600 --> 00:15:41,880
+وبالتالي اتجاهها باتجاه البركز بلعين طيب الحمد لله
+
+196
+00:15:42,860 --> 00:15:48,960
+أذن طبّقهم بدل أفقار .. إيش أحفظ؟ بس FS فى قوتين
+
+197
+00:15:48,960 --> 00:15:52,580
+أنا مش راسمهم لإن مش عارف أرسمهم واحدة عليكم واحدة
+
+198
+00:15:52,580 --> 00:15:54,900
+عليهم هدول ما اللي هم يجعوا في الـ acceleration
+
+199
+00:15:54,900 --> 00:15:57,820
+لإن السيارة مش حاطيرة فوق عشان أطبق قانون
+
+200
+00:15:57,820 --> 00:16:01,060
+الـNewton التاني باتجاه العمودي تمام؟ أنا بأطبق
+
+201
+00:16:01,060 --> 00:16:04,780
+قانون الـNewton التاني باتجاه الأفق اللي هو
+
+202
+00:16:04,780 --> 00:16:10,480
+المركزي فلجأت قوة واحدة قولت FS بسوء NV تربيع على
+
+203
+00:16:10,480 --> 00:16:16,690
+Rتمام؟ قال لي طب هذه fs بده .. انا بعرف ان fs ..
+
+204
+00:16:16,690 --> 00:16:22,230
+اقل او يساوي mu s في ال N .. صح؟ لكن ايش بده هو ..
+
+205
+00:16:22,230 --> 00:16:26,050
+بيقولي what is the maximum speed؟ بيقولي هذه
+
+206
+00:16:26,050 --> 00:16:29,930
+السرعة اللي عندها السيارة على وشك انها تجلب .. صح
+
+207
+00:16:29,930 --> 00:16:33,110
+ولا لا؟ اذا لو قالي اعودي ال speed .. بقول وقت ايش
+
+208
+00:16:33,110 --> 00:16:35,970
+بدك اياها؟ تمام؟ ماقدرش اكتب ال mu s في ال N ..
+
+209
+00:16:35,970 --> 00:16:39,630
+قالي لا انا بدي أقصى سرعة بحيث ان معناته السيارة
+
+210
+00:16:39,630 --> 00:16:45,210
+على وشك انها تجلبيعني يساوي إذا يساوي إذا يساوي
+
+211
+00:16:45,210 --> 00:16:53,010
+فبقول لي ميو أس في ال N هذه ميو أس في ال N وعرفنا
+
+212
+00:16:53,010 --> 00:16:56,150
+ليش حطنا المساواة لإن هو بيديه الماكسيما قال إذا
+
+213
+00:16:56,150 --> 00:17:00,790
+ال ميو أس في ال N بيساوي M V تربيع على A وين نجيب
+
+214
+00:17:00,790 --> 00:17:13,170
+M هذه؟ن نقص MG نقص MG نقص MG نقص MG نقص MG نقص MG
+
+215
+00:17:13,170 --> 00:17:18,010
+نقص
+
+216
+00:17:18,010 --> 00:17:30,550
+MG نقص MG نقص MG نقص MGكنا ندور على كتلة، ذاكرين؟
+
+217
+00:17:30,550 --> 00:17:35,150
+كتلة السيارة روحت بتهاشم ناشياها تمام، إذا قاللي
+
+218
+00:17:35,150 --> 00:17:42,240
+أما روحت مع أموصارت عندك V بالساوية الجزر التربيعي
+
+219
+00:17:42,240 --> 00:17:47,100
+.. عشان هنا V تربيع MUS في الـR في الـG MUS أطلقوا
+
+220
+00:17:47,100 --> 00:17:52,620
+100 ولا لا؟ او 0.2 و G بنعرفها و R مية أوضت ..
+
+221
+00:17:52,620 --> 00:17:56,060
+جالي 50.4 كيلومتر بالhour طبعا ال calculator
+
+222
+00:17:56,060 --> 00:18:00,020
+بيطلقوكوش 50 بيطلقوكو 100 برساكنةصح؟ و بعدين أنا
+
+223
+00:18:00,020 --> 00:18:04,400
+حولت هذا kilometer بال hour عشان لغة البلدية و
+
+224
+00:18:04,400 --> 00:18:07,240
+الشوارع و الهادي ف kilometer بال hour يعني بمعنى
+
+225
+00:18:07,240 --> 00:18:10,120
+أقل لو البلدية حطت جارما خمسين kilometer بالساعة
+
+226
+00:18:10,120 --> 00:18:14,040
+في حد بيقلب؟ لأ لأن هو المفروض انه بعد الخمسين
+
+227
+00:18:14,040 --> 00:18:17,520
+بيقلت أربعة حتى إذا بيقول البلدية حط خمسين و
+
+228
+00:18:17,520 --> 00:18:20,440
+بالظروف اللي انت دي تنايها صحيحة مفيش ولا سيارة
+
+229
+00:18:20,440 --> 00:18:24,740
+بتقلب بها كده معطيات صحيح ولا لأ؟ خلاص اللي أدال
+
+230
+00:18:24,740 --> 00:18:32,810
+بيقلبشاللي أكتر لو وحدة وخمسين بيقلب، بمشيش، بيكون
+
+231
+00:18:32,810 --> 00:18:39,470
+صارت قوة الاحتكاك غير كافية انها تخليه يلوف، ليش؟
+
+232
+00:18:39,470 --> 00:18:46,160
+لأن اللي بنات هذا الجهة هذهأنا بملكهاش إذا زادت
+
+233
+00:18:46,160 --> 00:18:50,760
+هادي بدي هادي تكون زيها مشكلة هادي إنه إليها حد
+
+234
+00:18:50,760 --> 00:18:54,660
+معين وبتوقف لأنه أكبر قيمة إليها جدّيش الـMUS في
+
+235
+00:18:54,660 --> 00:19:00,460
+الـM إذا هادي تجاوزت هادي بيبطل فيه مسواء وبتبطل
+
+236
+00:19:00,460 --> 00:19:05,480
+المعادلة صحيحة ومعناته مافيش حركة لأن هادي بس حركة
+
+237
+00:19:05,480 --> 00:19:09,290
+دائرية إيش مافيش حركة يعني الله يرحم السواقهذه
+
+238
+00:19:09,290 --> 00:19:14,450
+المعنية لا توجد حركة تمام؟ إذن لابد إن هذا الجانب
+
+239
+00:19:14,450 --> 00:19:19,350
+يكون أنا أقدر أقول يساوي هذا وهذا مشكلته في الآخر
+
+240
+00:19:19,350 --> 00:19:23,830
+بفلس إنه قيمة معينة ميو أس في الـN أكتر من كده
+
+241
+00:19:23,830 --> 00:19:27,670
+بيقدر يديكي قيمة؟ لأ، و الـN بيساوي M جيه و M تبعت
+
+242
+00:19:27,670 --> 00:19:32,940
+السيارة وجيه بنعرفها كلنا مابتتغيرش وبالتاليعند
+
+243
+00:19:32,940 --> 00:19:36,900
+سرعة معينة بيقولي هذه المعادلة روحت مافيش مجال إذا
+
+244
+00:19:36,900 --> 00:19:40,920
+كل الحركة بطلة صحيحة وهذا اللي بنعبّر عنه إن
+
+245
+00:19:40,920 --> 00:19:45,780
+الحركة ما تمتش دوران السيارة ما تمش بنجاح صار حادث
+
+246
+00:19:45,780 --> 00:19:53,740
+وإن شاء الله ما تكونش ماتسوّال تمام، بحكي إبراهو؟
+
+247
+00:19:53,740 --> 00:20:00,160
+ليش ماحطتش FK؟ سؤال جيد هو إنت شايف اتجاه الـFS
+
+248
+00:20:00,160 --> 00:20:00,480
+وين؟
+
+249
+00:20:05,060 --> 00:20:10,700
+هل في احتكاك ما بين السيارة والشارع بهذا الـ
+
+250
+00:20:10,700 --> 00:20:20,660
+direction؟ انت ملاحظة انا هيك في احتكاك لكن هيكفيش
+
+251
+00:20:20,660 --> 00:20:25,040
+بمعنى أخر لو أنا ماشي هيك و محافظ على مسافة ما بين
+
+252
+00:20:25,040 --> 00:20:29,320
+أول الطاولة لو هنا ماشي بخط مستقيم معناته هذه لا
+
+253
+00:20:29,320 --> 00:20:32,900
+بتجرب ولا بتبعد إذا مافيش عندي sliding بال
+
+254
+00:20:32,900 --> 00:20:35,860
+direction هذا إذا بقدر أقول في هذا ال direction Fs
+
+255
+00:20:35,860 --> 00:20:41,140
+ولا Fk؟ Fs حاجته هي دائرة نصف قطرها بتغير؟ إذا
+
+256
+00:20:41,140 --> 00:20:44,460
+معناته هي لا جربت على مركز ولا بعدت على مركز في
+
+257
+00:20:44,460 --> 00:20:49,480
+هذا اتجاه مافيش sliding عشان كده بقول Fs مش Fkوكيف
+
+258
+00:20:49,480 --> 00:20:52,220
+يصير FK لما الله يحفظ السوق؟
+
+259
+00:21:03,280 --> 00:21:07,180
+إذن فهمنا ليش بيحطوا جرمات للسواجين لما يكون أي
+
+260
+00:21:07,180 --> 00:21:11,260
+انعطاف، أي دورار، ما هو أي ملف يعتبر جزء من دائرة.
+
+261
+00:21:11,760 --> 00:21:16,700
+لما بيلف السواج، بيعمل ويجوز، صح؟ و الجوز، أي
+
+262
+00:21:16,700 --> 00:21:20,080
+انكام، جزء من دائرة ولا لا؟ إذن أول ما يلف، بيكون
+
+263
+00:21:20,080 --> 00:21:24,080
+دخل في حركة دورانية، عشان كده بيقولوا، قبل ما تلف،
+
+264
+00:21:24,080 --> 00:21:26,740
+ممنوع تكون انت و الله ماشي في خط سريع على 100 كيلو
+
+265
+00:21:26,740 --> 00:21:30,650
+متر في الساعة، و تلف ورا كأنه صاريشي، مستحيل.لازم
+
+266
+00:21:30,650 --> 00:21:35,050
+تهدي لأن في هذه الحالة عشان تقدر هذه المعادلة تبقى
+
+267
+00:21:35,050 --> 00:21:41,710
+صليمة وتقدر تلف بنجاح وإلا بيصير الحوادث تمام؟
+
+268
+00:21:41,710 --> 00:21:47,530
+كمان مثال بيقوللي احتكاكوا آمنا طب واش نعمل في
+
+269
+00:21:47,530 --> 00:21:52,910
+موسكو؟ اللي أغلب أيامها مالها؟ تلج؟ صحيح ولا لأ؟
+
+270
+00:21:53,650 --> 00:21:57,550
+طيب و جالوا جالوا للبلدية بنعمل دوار هو طبعا في
+
+271
+00:21:57,550 --> 00:22:01,650
+البلدية بيقولك ما تعملش دوار بتريحني لأنه خلاص قال
+
+272
+00:22:01,650 --> 00:22:05,950
+لأ بنعمل دوار ملزمين طب إيش نسوي قالوا دير بالكم
+
+273
+00:22:05,950 --> 00:22:11,230
+احنا مش زي غزة فش تلج بالمرة إلغي الاحتكاك بالمرة
+
+274
+00:22:12,630 --> 00:22:15,730
+كيف ألغي الاحتكار؟ المحتوى التعليمي القوة الوحيدة
+
+275
+00:22:15,730 --> 00:22:19,330
+اللي بتخلي السيارة تدور هي الاحتكار و اضايح هذا
+
+276
+00:22:19,330 --> 00:22:22,270
+المعنى ثم بقوله مافيش دورة عندك، لو لأ بتعملي،
+
+277
+00:22:22,270 --> 00:22:26,070
+تمام؟ بنتشوف إيش بنسوي لأ، بيقولي a circular curve
+
+278
+00:22:26,070 --> 00:22:31,360
+of a road، بندنعمل برضه curve في ال roadهو مصمم
+
+279
+00:22:31,360 --> 00:22:42,120
+لتحريك محرك يتحرك حوالي ستين كيلومتر بالساعة بدون
+
+280
+00:22:42,120 --> 00:22:46,880
+الاعتماد على الفريكشن قالوا للمهندسين انسوا ان
+
+281
+00:22:46,880 --> 00:22:49,320
+هناك فريكشن لا أريد اليوم أن أقول أن هناك إعتالج
+
+282
+00:22:49,320 --> 00:22:52,120
+أو أن أقول أن الدنيا صاحية انسوا الفريكشن تماما
+
+283
+00:22:52,120 --> 00:22:57,630
+هناك فريكشن في يوم صاحيزاد الأمان تمام If the
+
+284
+00:22:57,630 --> 00:23:00,170
+radius of the curve is 80 meters, what is the
+
+285
+00:23:00,170 --> 00:23:04,210
+correct angle of rod spanking؟ طبعا، نرجع لما يجي
+
+286
+00:23:04,210 --> 00:23:10,550
+واحد يفكر، يقول أكم قوة و كان؟ تلاتة، MG و N، صح؟
+
+287
+00:23:10,550 --> 00:23:13,110
+و friction، روحت ال friction مش هيكون بيقولك
+
+288
+00:23:13,110 --> 00:23:18,670
+روحها، إيه ده؟ كانت MG و N، في حد بيقدر يلعب في
+
+289
+00:23:18,670 --> 00:23:24,360
+MG؟وحدش لأن هذه ربنا خلجها صحيح ولا لأ؟ فى حد مقدر
+
+290
+00:23:24,360 --> 00:23:28,920
+نلويها شوية؟ ولا نعملها أفقية؟ فى حد مقدر؟ لأ
+
+291
+00:23:28,920 --> 00:23:33,260
+قالوا إيه ده؟ أن فاشل أن من قدامها قالوا أن هى لسه
+
+292
+00:23:33,260 --> 00:23:38,700
+مهين عشانها نورمل على إيش؟ السيرف السيرفي صح ولا
+
+293
+00:23:38,700 --> 00:23:42,130
+لأ؟ و السيرفيس هذا ماهو الشارع؟طب والشارع عشان أنا
+
+294
+00:23:42,130 --> 00:23:46,150
+بدي أصممه؟ بدي ألعب فيه كيف ما بدي، إذن هذا الشارع
+
+295
+00:23:46,150 --> 00:23:48,870
+بدل ما هو هيك، بدي أعمله هيك، أشوف إيش بتصير
+
+296
+00:23:48,870 --> 00:23:55,490
+معايا، لما يصير هيك، بصير، بديه يتحلل أحد مركباته
+
+297
+00:23:55,490 --> 00:24:01,860
+تعتبر قوة مركزية، حلت المشكلةأحد مُركّبات الـ N هي
+
+298
+00:24:01,860 --> 00:24:06,600
+السيارة لأن دور السيارة بدي قوة مركزية والقوة
+
+299
+00:24:06,600 --> 00:24:09,880
+المركزية في الملاحظات جالي أحد القوات الطبيعية
+
+300
+00:24:09,880 --> 00:24:13,360
+والقوات الطبيعية اللي موجودة تلاتة كانت روحت واحدة
+
+301
+00:24:13,360 --> 00:24:18,890
+ضالتينمجي و ان مجي مستحيل أن ألعب فيها دلّق ان
+
+302
+00:24:18,890 --> 00:24:22,210
+قلنا ان أنا اللي باصنعها لأن أنا اللي بدي أصنع
+
+303
+00:24:22,210 --> 00:24:25,110
+الشارع اللي هو السطح وهي normal على السطح هي بتلف
+
+304
+00:24:25,110 --> 00:24:29,530
+لو عملت الاسفلت هيك بقول هي ان صح ولا لا بصيرها
+
+305
+00:24:29,530 --> 00:24:35,030
+مركزية تمام؟ عدم نحكي على الأسفلت اللي زي هي تمام
+
+306
+00:24:35,030 --> 00:24:40,290
+بقول هي السيارة ميلناها طبعا انت بتعرف الشارع
+
+307
+00:24:40,290 --> 00:24:44,920
+بيعملونه ميلان عشان المطر؟الشوارع بيعملوها تتميل
+
+308
+00:24:44,920 --> 00:24:49,920
+شوية عشان المطر مايبركش صح؟ نفس الميلان هذا هو
+
+309
+00:24:49,920 --> 00:24:54,140
+الميلان اللي بيعملوه في الدوار تمام؟ بس بدل ما
+
+310
+00:24:54,140 --> 00:24:59,540
+يميلوه هيك برا بيميلوه لجوه .. لجوه الدوار تمام؟و
+
+311
+00:24:59,540 --> 00:25:04,120
+مجرد بيميلوه شوية بيميلوه باتجاه داخل الدوار و
+
+312
+00:25:04,120 --> 00:25:07,600
+غالبا الدوار بيكون زراعة ما هو صح ولا لأ فبتلفع
+
+313
+00:25:07,600 --> 00:25:11,100
+للسواجين و بتلفع للزراعة الميه اللي بتيجي بتروح
+
+314
+00:25:11,100 --> 00:25:15,060
+على نص الدوار بيكون دايما ممتزة ما هو او نفورة و
+
+315
+00:25:15,060 --> 00:25:18,420
+مش عارف ايش فالميه بتروح على الزراعة و السواجين
+
+316
+00:25:18,420 --> 00:25:23,280
+بيكيفوا ان هم بجعوش فميلتهاهجيت أنا اللي بدي إياكم
+
+317
+00:25:23,280 --> 00:25:27,320
+تفهموه و تتصوروه أنا بهم مش ميالة الشارق هيك لكن
+
+318
+00:25:27,320 --> 00:25:33,740
+لما بدي أجي ألف أنا بلف بدائرة أفقية خليني أخيكم
+
+319
+00:25:33,740 --> 00:25:40,440
+بشغل أصعب عمركم شفتوا في التلفزيون سيرك؟ تعرف، في
+
+320
+00:25:40,440 --> 00:25:45,460
+أحد اللعب المشهورة بيجي واحد بدراجة نانية بيلف
+
+321
+00:25:45,460 --> 00:25:47,680
+فتين، تلاتة، أربعة على الأرض وبعدين بطلع على
+
+322
+00:25:47,680 --> 00:25:52,560
+الحيطانة وبصير لف على الحيطانة صح ولا لا؟هجيت ..
+
+323
+00:25:52,560 --> 00:25:57,620
+لما تيجي تتخيلوه هو قاعد بيلف مش بيلف هيك، صح؟ إذا
+
+324
+00:25:57,620 --> 00:26:03,900
+دائرته أفقية، دائرته أفقية، هجيت مين المسئول عنده
+
+325
+00:26:03,900 --> 00:26:05,520
+ورانه؟ هو المركزي
+
+326
+00:26:08,850 --> 00:26:11,930
+كمان مرة .. ماشي انتوا تخيلتوا عمكم .. في حد عمره
+
+327
+00:26:11,930 --> 00:26:15,130
+شافه و هو بيلف فيك .. بيلف على حيطان .. حيطان
+
+328
+00:26:15,130 --> 00:26:19,670
+مدورة و بيبقى اللي رايح جاي .. بجعش .. هجيت لو بطأ
+
+329
+00:26:19,670 --> 00:26:23,230
+سرعته .. إيش بصير فيه؟ بجعش .. مظبط ولا .. بيبقى
+
+330
+00:26:23,230 --> 00:26:26,390
+من الشعر .. لكن هجيت أنا ماواجعش .. بيلف .. ما
+
+331
+00:26:26,390 --> 00:26:29,870
+زالت بتحرك حركة دورانية .. علمونا .. مافيش حركة
+
+332
+00:26:29,870 --> 00:26:34,840
+دورانية إلا بوجود قوة .. صح؟في هذه الحالة القوة زي
+
+333
+00:26:34,840 --> 00:26:39,740
+ما حدثت أو حكت ازمرتكم هي ان .. لأن ال .. الحيطة
+
+334
+00:26:39,740 --> 00:26:45,020
+.. الشريع تبعه .. الحيطة هي .. كيف ان؟ هي .. صح
+
+335
+00:26:45,020 --> 00:26:48,660
+ولا لأ؟ هادي باتجاه المركز والله، لذا هادي هي ان
+
+336
+00:26:49,550 --> 00:26:53,350
+طبعا، لو فيه FS و فيه MG، ما همش دعوات، لأن هو ..
+
+337
+00:26:53,350 --> 00:26:59,090
+لأن هو بلُف .. بلُف بدائرة أفقية، أنا ليش بقول
+
+338
+00:26:59,090 --> 00:27:02,610
+دائرة أفقية، عشان أقول المركز أيه أفقي، المركز
+
+339
+00:27:02,610 --> 00:27:05,530
+أفقي، وبالتالي القوة اللي بيكون اتجاه المركز لازم
+
+340
+00:27:05,530 --> 00:27:13,130
+تكون أفقية، وهو قاعد بمشيفبقولي هذا هي MG وهذه N
+
+341
+00:27:13,130 --> 00:27:18,810
+وهذه N وبتعمل زاوية مخضرها θيتا زي بقى هذه θيتا
+
+342
+00:27:18,810 --> 00:27:24,210
+وهذه ثيتا لأن في الآخر هذه N هي عبارة عن تسعين
+
+343
+00:27:24,210 --> 00:27:29,350
+درجة هيك صحيح؟ وبالتالي لو أنا عملت هذه تسعين درجة
+
+344
+00:27:29,350 --> 00:27:33,390
+لأنها normal على ال surface ولو عملت هيك بتكون هذه
+
+345
+00:27:33,390 --> 00:27:39,680
+هي θيتا صحيح ولا لأ؟ تمام؟ فبالتاليهذه اللي عندي
+
+346
+00:27:39,680 --> 00:27:45,440
+هنا هذه وهذه وهذه وهذه بتتمم المنافسة الزاوية فهذه
+
+347
+00:27:45,440 --> 00:27:49,980
+بتتمم هذه وهذه بتتمم هذه فهذه فيتا تمام هجيت بعد
+
+348
+00:27:49,980 --> 00:27:54,160
+ما اتأكدت من فيتا بقدر اقول هنا في عندي n cos ثيتا
+
+349
+00:27:54,160 --> 00:27:57,420
+و هنا في n sin ثيتا ولا لا تمام حلّي غيري ان احلل
+
+350
+00:28:00,110 --> 00:28:05,690
+هذا اللي بنقط هذا هو دائرتي وهي بتمشي السيارة
+
+351
+00:28:05,690 --> 00:28:12,810
+صحيح؟ تمام وهين حللت أن صيني الزاوية و أنكو صيني
+
+352
+00:28:12,810 --> 00:28:16,510
+الزاوية صح ولا لا؟ هجيت إذا فهمتوا الرسمة و أنا
+
+353
+00:28:16,510 --> 00:28:20,430
+بدي أسألكم الآن ما هي القوة اللي باتجاهي المركز أن
+
+354
+00:28:20,430 --> 00:28:28,420
+صيني الزاوية إذا نجيتها خلص الصورة خلاصخلّص السؤال
+
+355
+00:28:28,420 --> 00:28:32,480
+هو بدّو θية أصلا و مدّيني السرعة و جاهزة ولا لأ مش
+
+356
+00:28:32,480 --> 00:28:37,460
+جالس ستين كيلومتر بالعوار إذا بيقول لي not that
+
+357
+00:28:37,460 --> 00:28:40,760
+the car will move around a horizontal circle هذه
+
+358
+00:28:40,760 --> 00:28:45,260
+أمننا فيها the normal force and should be resolved
+
+359
+00:28:45,260 --> 00:28:49,280
+لازم أحللها into two components one towards the
+
+360
+00:28:49,280 --> 00:28:52,020
+center of the curve اللي هي ال horizontal and the
+
+361
+00:28:52,020 --> 00:28:55,820
+other vertical حللت و بعرف أحلل اللي عندها أي سؤال
+
+362
+00:28:55,820 --> 00:28:56,260
+تسأل
+
+363
+00:28:59,340 --> 00:29:03,740
+القوة الركزية ثم هي الوضع الهورزينتالي اللي توي
+
+364
+00:29:03,740 --> 00:29:10,320
+طولي F sin θ فجالي N في sin θ هي القوة المركزية
+
+365
+00:29:10,320 --> 00:29:15,760
+بسوء M A R اللي هي V تربيع على R تمام، إيش بدك؟
+
+366
+00:29:15,760 --> 00:29:23,700
+بدك θ؟ عشان تجيب θ بدي N صح؟ كيف أجيب N؟ مين جالت
+
+367
+00:29:23,700 --> 00:29:28,710
+N بسوء M G؟ انت؟يعني انت .. خليني .. لأ بدني أضعك
+
+368
+00:29:28,710 --> 00:29:31,810
+عشان ما تخلصتيش فيها كمان مرة تمام .. ثم جاتني
+
+369
+00:29:31,810 --> 00:29:35,810
+طالبة بدها .. خربطة بال speed في أحدى الليكوزات
+
+370
+00:29:35,810 --> 00:29:39,250
+تمام؟ طبعا جايب الصوعة و ما شاء الله عليها في
+
+371
+00:29:39,250 --> 00:29:45,500
+المنافسة اللي هدعت كانت ب 500I زي 200G تمام؟جت نجت
+
+372
+00:29:45,500 --> 00:29:48,420
+السويس جالس الـ700؟ جت نجت السويس جالس الـ700؟ جت
+
+373
+00:29:48,420 --> 00:29:48,420
+نجت السويس جالس الـ700؟ جت نجت السويس جالس الـ700؟
+
+374
+00:29:48,420 --> 00:29:49,240
+جت نجت السويس جالس الـ700؟ جت نجت السويس جالس
+
+375
+00:29:49,240 --> 00:29:53,000
+الـ700؟ جت نجت السويس جالس الـ700؟ جت نجت السويس
+
+376
+00:29:53,000 --> 00:29:55,680
+جالس الـ700؟ جت نجت السويس جالس الـ700؟ جت نجت
+
+377
+00:29:55,680 --> 00:30:01,060
+السويس جالس الـ700؟ جت نجت السويس جالس الـ700؟ جت
+
+378
+00:30:01,060 --> 00:30:07,500
+نجت السويس جالس الـ700؟ جت نجت السويس جالس الـ700؟
+
+379
+00:30:07,500 --> 00:30:11,680
+جت نجت السويس جالس الـ700؟ جت نجت السويس جالس
+
+380
+00:30:11,680 --> 00:30:19,410
+الـ700قلت أنا بنفع في قانون لل N؟ قبل محاضرتين
+
+381
+00:30:19,410 --> 00:30:24,750
+قلتها هل في قانون برمج مخي N بساوي MG؟ من وين بجيب
+
+382
+00:30:24,750 --> 00:30:28,870
+N؟ من تطبيق قانون نيوتن التاني من الاتجاه اللي فيه
+
+383
+00:30:28,870 --> 00:30:33,570
+N هذه مانفعش بقدر أقول N Cos θ بساوي MG تمام؟ طبعا
+
+384
+00:30:33,570 --> 00:30:35,790
+الواحد بالسبع بقول N بساوي MG إيه؟ راحت عليه، راح
+
+385
+00:30:35,790 --> 00:30:40,480
+السؤال ما هوبوراها سؤال، غلطة زيها، دي مينفعش أنا
+
+386
+00:30:40,480 --> 00:30:45,160
+مخي مساحته، فيش قانون للـM M بجيبه من تطبيق قانون
+
+387
+00:30:45,160 --> 00:30:49,420
+الـNewton التالي اللي على الرسمة موجود M Cos θ
+
+388
+00:30:49,420 --> 00:30:53,700
+بيساوي Mg إذا M بيساوي Mg على Cos θ، حسب القاعدة
+
+389
+00:30:53,700 --> 00:30:56,640
+إذا بيقولّي، since there is no motion in the
+
+390
+00:30:56,640 --> 00:31:01,720
+vertical direction إذا M Cos θ بيساوي Mg أعيدشي؟
+
+391
+00:31:01,720 --> 00:31:05,600
+أعيدشي؟ أعيد؟
+
+392
+00:31:05,600 --> 00:31:11,840
+أي صفصار؟تسرحوش داركم مركزين معايا
+
+393
+00:31:16,140 --> 00:31:21,800
+أنا بدي إن مش عارفها إن ما لهاش قانون اتطلعت إيش
+
+394
+00:31:21,800 --> 00:31:25,340
+فيه معادلات قولت والله في معادلة فوق وفي قوتين لأ
+
+395
+00:31:25,340 --> 00:31:30,500
+وبيلغوا بعض المفروض لأن السيارة مش هتطير بعناته إن
+
+396
+00:31:30,500 --> 00:31:35,060
+cos θ ناقص mg بتساوي سفر لأن ال acceleration بهذا
+
+397
+00:31:35,060 --> 00:31:40,920
+الشكل zero فطلعت إن بتساوي mg على cos θ قال اعوضها
+
+398
+00:31:40,920 --> 00:31:45,340
+ال gate في المعادلة فصارت mg sine على cosine10
+
+399
+00:31:45,340 --> 00:31:50,240
+بيسوي N V تربيع على R حلو ال A مروحة إذا فيتا
+
+400
+00:31:50,240 --> 00:31:54,660
+بيساوي 10 inverse معكوس ال inverse V تربيع على GR
+
+401
+00:31:54,660 --> 00:31:57,920
+ال V تربيع 60 وحولوها من kilometer per hour إلى
+
+402
+00:31:57,920 --> 00:32:02,600
+meter per second حولناها وربعناها جسمنا على 9.8
+
+403
+00:32:02,600 --> 00:32:07,200
+وجسمنا على 80 متر تمام؟ و بال calculator 10
+
+404
+00:32:07,200 --> 00:32:11,300
+inverse طلّع طلّعت الزاوية 19.5 degree طب عن أيه
+
+405
+00:32:11,300 --> 00:32:15,110
+بنات هي زاوية كبيرة تعتبر في الميالات؟مظبوط؟ زاوية
+
+406
+00:32:15,110 --> 00:32:18,770
+كبيرة ان انا ميل شارعي عشرين درجة كتيرة بس طبعا
+
+407
+00:32:18,770 --> 00:32:21,090
+عشان قاللي ماني ماني ماني ماني ماني ماني ماني ماني
+
+408
+00:32:21,090 --> 00:32:21,170
+ماني ماني ماني ماني ماني ماني ماني ماني ماني ماني
+
+409
+00:32:21,170 --> 00:32:22,430
+ماني ماني ماني ماني ماني ماني ماني ماني ماني ماني
+
+410
+00:32:22,430 --> 00:32:24,830
+ماني ماني ماني ماني ماني ماني ماني ماني ماني ماني
+
+411
+00:32:24,830 --> 00:32:25,550
+ماني ماني ماني ماني ماني ماني ماني ماني ماني ماني
+
+412
+00:32:25,550 --> 00:32:25,550
+ماني ماني ماني ماني ماني ماني ماني ماني ماني ماني
+
+413
+00:32:25,550 --> 00:32:32,970
+ماني
+
+414
+00:32:32,970 --> 00:32:37,210
+ماني مان
+
+415
+00:32:40,200 --> 00:32:44,300
+بيقولي a ball of mass one kilogram is attached to
+
+416
+00:32:44,300 --> 00:32:47,720
+one end of a string one meter long برضه هذي بتعرفي
+
+417
+00:32:47,720 --> 00:32:49,820
+تعملوها في الدار، بقدر بقى يكونوا ماتخلوش حد من
+
+418
+00:32:49,820 --> 00:32:55,600
+حواليكم، لحظة بعدين تطبشوهم جيبوا حبل، تمام؟ في حد
+
+419
+00:32:55,600 --> 00:32:59,460
+ماعندهاش حبل؟ تمام؟ بس هتكون جامد شوية، بلاش يكون
+
+420
+00:32:59,460 --> 00:33:03,720
+عاطف منك تاع، واتبطوا فيه أي كرة، تمام؟ وهذه واحد
+
+421
+00:33:03,720 --> 00:33:05,960
+كيلوجрам، انتوا ماتخلوش واحد كيلوجрам، لو خففتوا
+
+422
+00:33:05,960 --> 00:33:12,280
+بكون أحسنوامسكوا الحبل وامسكوا وعملوا هيك تمام؟
+
+423
+00:33:12,280 --> 00:33:17,560
+هجيه تجربوا تكون بسرعة كبيرة بقولوا لكل حبل أكمل
+
+424
+00:33:17,560 --> 00:33:22,340
+شرطه هينقطع الحبل هينقطع الحبل ولو هنقطع الحبل
+
+425
+00:33:22,340 --> 00:33:26,220
+الكورة الله سهل عليها الله أنا أدم من الصيد تمام؟
+
+426
+00:33:26,220 --> 00:33:30,240
+هينقطع الحبل قعدنا نشوف كيف و وقتش بنقطع بالتالي
+
+427
+00:33:30,240 --> 00:33:34,940
+هجيه سؤالي الآن الحبل بدي أمسك فيه كورة و أعلجها
+
+428
+00:33:36,070 --> 00:33:40,010
+هعلقها امسك هيك و انا لسه اعمل تجربتي مين بتوقع
+
+429
+00:33:40,010 --> 00:33:47,010
+جديش الشد؟ انا لسه عم علقها الـ Mg Mg تمام؟ هل جيش
+
+430
+00:33:47,010 --> 00:33:51,930
+بدي امسكها و اعمل هيك؟ بتبقى الـ Mg صح بيصير MV
+
+431
+00:33:51,930 --> 00:33:56,330
+تربيع على R صح طبعا شوف هالسؤال ايش بيقول محلقة a
+
+432
+00:33:56,330 --> 00:33:59,970
+ball of mass one kilogram is attached to one end
+
+433
+00:33:59,970 --> 00:34:03,530
+of a string مربوط في احد طرفي حبل و هذا الحبل طوله
+
+434
+00:34:03,530 --> 00:34:09,090
+واحد مترlong and is wired in a horizontal circle
+
+435
+00:34:09,090 --> 00:34:12,890
+وانا لفيته ب horizontal circle هي horizontal
+
+436
+00:34:12,890 --> 00:34:15,850
+circle زي الهواية الهواية لو تلف تصير horizontal
+
+437
+00:34:15,850 --> 00:34:20,930
+circle action in the figure find the maximum speed
+
+438
+00:34:20,930 --> 00:34:25,410
+the ball can attain بيقوللي إيش أكبر سرعة هتمشي
+
+439
+00:34:25,410 --> 00:34:28,110
+بالكورة without breaking the string بدون ما ينفع
+
+440
+00:34:28,110 --> 00:34:32,890
+الحبل علما بأن الحبل بتحمل قوة مقدارها خمسمائة جيل
+
+441
+00:34:32,890 --> 00:34:37,920
+تلينيعني، لو كانت القوة اللي ع الشاب صوت أكبر من
+
+442
+00:34:37,920 --> 00:34:41,220
+500 نيوتن، الله سهل عليه الحبل، مافقدرش أتحمل أكتر
+
+443
+00:34:41,220 --> 00:34:43,980
+من كده، زي ما احنا نقول إن أنا عندى حبل و بدى أربط
+
+444
+00:34:43,980 --> 00:34:47,700
+فيه كيس أطحين، اتحمل، طب أربط فيه خمس كياز، بتحمل؟
+
+445
+00:34:47,700 --> 00:34:51,660
+لأ، إذا إنه قدرة، كل حبل إله قدرة على التحمل،
+
+446
+00:34:51,660 --> 00:34:55,400
+تمام، يقوللي، هي الكرة و هي الحبل و أنا ماشي فيه
+
+447
+00:34:55,400 --> 00:35:01,630
+هيك، متفقين؟ حلونجي نشوف إيش في قوة بتأثر على
+
+448
+00:35:01,630 --> 00:35:06,170
+الكورة و هي معلجة في الهواء و مربوطة بحبل صح؟ في
+
+449
+00:35:06,170 --> 00:35:13,150
+غير إيه؟ كورة مربوطة بحبل و مفلطة في الهواء طبعاً
+
+450
+00:35:13,150 --> 00:35:19,030
+أول كيوزل؟ فيه وزل؟ حلو و إيش في كمان؟ الشارع في
+
+451
+00:35:19,030 --> 00:35:24,210
+غيرهم؟ من هنا نتفق في غيرهم؟ مافيش غيرهم MG في حد
+
+452
+00:35:24,210 --> 00:35:29,680
+بعرفهاش؟ ممكن تكون مركزية؟لأ .. لأ .. لأ تحت ..
+
+453
+00:35:29,680 --> 00:35:33,240
+هيها .. إيه؟ هيها .. وهي مركز .. المركز إيدكم،
+
+454
+00:35:33,240 --> 00:35:36,120
+تتباركوا في هذه الحالة، المركز هي إيدكم، هنا بصير
+
+455
+00:35:36,120 --> 00:35:40,560
+الوضع أسهل للتخيل، تمام، لو واحد يقول كيف الشد،
+
+456
+00:35:40,560 --> 00:35:43,780
+بقول طول الحبل، و الحبل مارر في إيدي و لا مش مارر،
+
+457
+00:35:43,780 --> 00:35:47,140
+غصب من عليه و يكون مركزي، إذن هي الشد المركزي، مش
+
+458
+00:35:47,140 --> 00:35:51,540
+غيرها، و MG مش مركزية، تمام، إذا بيقوللي، هيها
+
+459
+00:35:51,540 --> 00:35:59,270
+لفت، ما شاء الله عليهاكفة تمام بيقول الوزن الوزن
+
+460
+00:35:59,270 --> 00:36:05,610
+الوزن الوزن
+
+461
+00:36:05,610 --> 00:36:09,210
+الوزن الوزن الوزن الوزن الوزن الوزن الوزن الوزن
+
+462
+00:36:09,210 --> 00:36:09,210
+الوزن الوزن الوزن الوزن الوزن الوزن الوزن الوزن
+
+463
+00:36:09,210 --> 00:36:13,420
+الوزن الوزن الوزن الوزن الوزنبسبب أن الوضع عادل
+
+464
+00:36:13,420 --> 00:36:18,360
+للطبق السفلي لأسفل الوضع تبقى الوضع عادل للطبق
+
+465
+00:36:18,360 --> 00:36:19,740
+السفلي لأسفل الوضع تبقى الوضع عادل للطبق السفلي
+
+466
+00:36:19,740 --> 00:36:20,920
+لأسفل الوضع تبقى الوضع عادل للطبق السفلي لأسفل
+
+467
+00:36:20,920 --> 00:36:21,980
+الوضع تبقى الوضع عادل للطبق السفلي لأسفل الوضع
+
+468
+00:36:21,980 --> 00:36:23,000
+تبقى الوضع عادل للطبق السفلي لأسفل الوضع تبقى
+
+469
+00:36:23,000 --> 00:36:29,620
+الوضع عادل للطبق السفلي لأسفل الوضع تبقى الوضع
+
+470
+00:36:29,620 --> 00:36:34,380
+عادل للطبق السفلي لأسفل
+
+471
+00:36:34,380 --> 00:36:41,470
+الوضع تبقى الوضعطبعاً وهذه بدياها وهذه واحد متر مش
+
+472
+00:36:41,470 --> 00:36:48,470
+نفس القطر هو طول الحبلو هذه إذا طلعت 501 الله صحنا
+
+473
+00:36:48,470 --> 00:36:53,730
+عليه الحبل صح؟ بدأ تطلع أقل إذا بقول to find the
+
+474
+00:36:53,730 --> 00:36:58,390
+speed at the verge of breaking عند لحظة الانقطاع
+
+475
+00:36:58,390 --> 00:37:02,210
+تمام؟ we have to substitute for T by its breaking
+
+476
+00:37:02,210 --> 00:37:07,010
+value حطينا 500 هذه أكبر قيمة ممكن يتحملها الحبل
+
+477
+00:37:07,010 --> 00:37:11,890
+فصارت the maximum أكبر قيمة هذه كلمة maximum
+
+478
+00:37:11,890 --> 00:37:21,640
+العظمىبساوي T maximum في R على M هذه خمسمية وهذه
+
+479
+00:37:21,640 --> 00:37:26,920
+واحد وهذه واحد طلعت 22.4 متر بيرسا كانت جلبها كذا
+
+480
+00:37:26,920 --> 00:37:32,740
+سرعة أو أقل الحبل بنقطعه لو كانت سرعتك 22.5 انقطع
+
+481
+00:37:32,740 --> 00:37:38,190
+الحبل واضح يا بنات؟في أي استفسار؟ إذا هذا الـ
+
+482
+00:37:38,190 --> 00:37:42,290
+chapter هو عماله تكرار لل chapter الماضي بس
+
+483
+00:37:42,290 --> 00:37:46,490
+المحاور اختلفت بدل ما هو سينوساط صار عندي محور
+
+484
+00:37:46,490 --> 00:37:52,690
+مركزي محور نصف قطري احكي .. فاش اشي جديد المهم
+
+485
+00:37:52,690 --> 00:37:56,710
+أعرف القوة صح وأعرف اتجاهها احكي
+
+486
+00:38:14,090 --> 00:38:17,150
+كيف يعني الهواء اللي قدام؟ يعني الهواء لأ ماروح
+
+487
+00:38:17,150 --> 00:38:20,910
+لما تشترن، تدور، تدور، فالهواء كله بيجي .. اه يعني
+
+488
+00:38:20,910 --> 00:38:26,350
+هيك ماروحش هيك، صحيح؟ تمام، هو في الآخر الهواء
+
+489
+00:38:26,350 --> 00:38:31,810
+بيحرك اللي قباله، بيحركش اللي وراه، بتبقات ما هو
+
+490
+00:38:31,810 --> 00:38:35,210
+الهواء، بيحرك، فبالتالي بيجي هيك، وين لما يصل
+
+491
+00:38:35,210 --> 00:38:39,150
+هناك، بيصلش وراه، فهو بيحرك اللي هان، و اللي هان
+
+492
+00:38:39,150 --> 00:38:42,210
+بيحرك اللي هان، و اللي هان .. و كل ما مشيت عمله
+
+493
+00:38:42,210 --> 00:38:43,290
+بخف التأثير
+
+494
+00:38:47,160 --> 00:38:50,860
+ليش على جهتين بتجيب هوا؟ يعني ليش على جهتين بتشتغل
+
+495
+00:38:50,860 --> 00:38:54,300
+شوي شوي و بتجيب هوا؟ انت قصدك من خارج الهواية، زي
+
+496
+00:38:54,300 --> 00:38:57,320
+من هنا، من فوق و لا من تحت، صحيح؟ لأ، من فوق
+
+497
+00:38:57,320 --> 00:39:02,920
+مايصارش فيه تحريك لأنه الحركة بتجيب إلى الأسفل أو
+
+498
+00:39:02,920 --> 00:39:07,400
+من ناحية هادي، لأنه أنا عنديأنا ملامس إليهم من
+
+499
+00:39:07,400 --> 00:39:11,520
+ناحية عادي و من ناحية هذه ملامس لكن بيصير قوة
+
+500
+00:39:11,520 --> 00:39:17,140
+دوران الهواء بأثر على هذه الناحية أكتر من حياتي لو
+
+501
+00:39:17,140 --> 00:39:21,500
+أنت وجفت هنا هتلاقي فيه هوا بس خفيفهتلاقي فيه بس
+
+502
+00:39:21,500 --> 00:39:26,480
+بيكون خفيف لأنه مصممة هي أصلا انت لو تشوفي الريش
+
+503
+00:39:26,480 --> 00:39:30,720
+مصممة مقعرة من ناحية الخلفية ومحدبة من ناحية
+
+504
+00:39:30,720 --> 00:39:34,080
+الإمامية عشان يكون تأثيرها أكبر من ناحية الإمامية
+
+505
+00:39:34,080 --> 00:39:38,320
+عنها من الخلفية فالخلفية موجودة ولكن خفيفة جدا لأن
+
+506
+00:39:38,320 --> 00:39:41,740
+التأثير تبع تصميمها لو كانت عجلة هكون التأثير
+
+507
+00:39:41,740 --> 00:39:50,520
+متساوي بتقعر الريش تبع الجهوية طبعا؟ طيبnon
+
+508
+00:39:50,520 --> 00:39:55,040
+uniform circular motion الشيء بتفرج عن ال uniform
+
+509
+00:39:55,040 --> 00:39:58,340
+circular motion عشان نرجع للهواية طبعا الهواية
+
+510
+00:39:58,340 --> 00:40:01,940
+حركتها بتجي في شبط العشرة بس انا في شبط العشرة لإن
+
+511
+00:40:01,940 --> 00:40:05,780
+في عندك قوة خارجية أثرت عليها اللي هي الموتور
+
+512
+00:40:05,780 --> 00:40:12,660
+الموتور اللي موجود دواها هنا لو كانت ال speed مش
+
+513
+00:40:12,660 --> 00:40:17,690
+constant إيش بدي يصير معايا؟طبعا يا بنات اتوقعوا
+
+514
+00:40:17,690 --> 00:40:20,170
+معايا كالتالي احنا بس بنتحدث شوية عشان نكمل المرات
+
+515
+00:40:20,170 --> 00:40:26,630
+الجاية اتفقنا ان السرعة بتساوي
+
+516
+00:40:26,630 --> 00:40:33,090
+speed زائد direction صحيح
+
+517
+00:40:33,090 --> 00:40:41,190
+ولا لأ هال gate ال acceleration بساويDelta V على
+
+518
+00:40:41,190 --> 00:40:47,590
+Delta T يعني معدل تغير السرعة بالنسبة للزمان الـ
+
+519
+00:40:47,590 --> 00:40:50,790
+Hub إنه هذا فقط بتغير .. قلنا في عندنا الـ
+
+520
+00:40:50,790 --> 00:40:54,550
+centripetal acceleration .. صح؟ طيب لو هذا و هذا
+
+521
+00:40:54,550 --> 00:40:59,130
+بتغيرت .. أقولكم التغير جال ولا زاد؟ زي .. يعني
+
+522
+00:40:59,130 --> 00:41:02,490
+يتغير في ال .. في ال velocity فقط ال direction ولا
+
+523
+00:41:02,490 --> 00:41:05,370
+ال direction و ال .. و ال magnitude؟ مين أكبر
+
+524
+00:41:05,370 --> 00:41:10,470
+تغير؟لما جينا نتغيره طيب في هذه الحالة ال
+
+525
+00:41:10,470 --> 00:41:14,770
+acceleration هزيج معناته صح؟ نرجع ال acceleration
+
+526
+00:41:14,770 --> 00:41:18,830
+من ون نتجة من تغير السرعة صح؟ هبقى إن السرعة
+
+527
+00:41:18,830 --> 00:41:22,310
+بتتغير بمعدل بسيط بقول acceleration بسيطة السرعة
+
+528
+00:41:22,310 --> 00:41:25,190
+بتتغير بمعدل كبير بقول acceleration كبيرة مش هيك
+
+529
+00:41:25,190 --> 00:41:30,990
+مضبوط؟ تمام هجيت أنا السرعة جسمتها لجزء ايه؟ speed
+
+530
+00:41:30,990 --> 00:41:38,970
+و direction بدي أغير هذا بس طلعت اندي ARصح؟ طيب لو
+
+531
+00:41:38,970 --> 00:41:43,550
+هذا بدى يتغير التغير زاد ولا جد؟ زاد .. زاد .. زاد
+
+532
+00:41:43,550 --> 00:41:44,770
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+533
+00:41:44,770 --> 00:41:44,790
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+534
+00:41:44,790 --> 00:41:46,150
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+535
+00:41:46,150 --> 00:41:46,950
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+536
+00:41:46,950 --> 00:41:46,950
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+537
+00:41:46,950 --> 00:41:48,670
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+538
+00:41:48,670 --> 00:41:54,310
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+539
+00:41:54,310 --> 00:41:54,990
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+540
+00:41:54,990 --> 00:41:55,530
+.. زاد .. زاد .. زاد .. زاد .. زاد .. زاد .. زاد
+
+541
+00:41:55,530 --> 00:41:56,550
+.. زاد ..
+
+542
+00:41:59,740 --> 00:42:05,980
+إيديتك مركبة تانية إذا لما كل speed بتغير في عندك
+
+543
+00:42:05,980 --> 00:42:09,120
+مركبتين لل acceleration واحدة باتجاه المركز
+
+544
+00:42:09,120 --> 00:42:15,840
+والتانية عمودي على المركز، إيش هو؟ هجيت للمركز؟
+
+545
+00:42:15,840 --> 00:42:18,860
+عارفينه المركبة التانية لازم تكون عمودي على
+
+546
+00:42:18,860 --> 00:42:22,360
+المركبة الأولى إيش عمودي على المركز؟ على نص القطر
+
+547
+00:42:22,360 --> 00:42:28,440
+ال MGR إيش عمودي على نص القطر؟أعطيكم القوة إيش
+
+548
+00:42:28,440 --> 00:42:34,120
+عمودي على الأفقي؟ العمودي .. أفضل عليك .. العمودي
+
+549
+00:42:34,120 --> 00:42:38,220
+.. إيش عمودي على الصين؟ الصحيح .. ممتازين .. إيش
+
+550
+00:42:38,220 --> 00:42:43,880
+عمودي على نص القطر؟ المماس .. المماس .. مش المماس
+
+551
+00:42:43,880 --> 00:42:46,220
+عمودي على نص القطر؟ هو ال institute في المدارس ..
+
+552
+00:42:46,220 --> 00:42:48,800
+و أحنا بنعلمكم مدارس على الفضل؟ هذا كان جيبناكم من
+
+553
+00:42:48,800 --> 00:42:52,440
+الصف أول و جيبناكم منه و خلصنا .. كان رايحناكم ..
+
+554
+00:42:52,440 --> 00:42:58,000
+المماس إذا معناته؟أحداثياتي في الحركة الدورانية
+
+555
+00:42:58,000 --> 00:43:02,440
+نُص قطره والأحداث التاني هو المماس هدول عبارة عن
+
+556
+00:43:02,440 --> 00:43:06,880
+two perpendicular axes تمام؟ إذا الجثة اللي
+
+557
+00:43:06,880 --> 00:43:11,660
+بيقولليها when the magnitude of the velocity is
+
+558
+00:43:11,660 --> 00:43:16,080
+not constant الآن ال magnitude ميثابت but it
+
+559
+00:43:16,080 --> 00:43:19,640
+change with time we have the non uniform circular
+
+560
+00:43:19,640 --> 00:43:22,460
+motion إذا ال non uniform circular motion اللي
+
+561
+00:43:22,460 --> 00:43:27,880
+بيكون ال speed ميثابتالتغيير في السرعة .. التغيير
+
+562
+00:43:27,880 --> 00:43:35,060
+في المجموعة سيضيف اضافة لتغيير السرعة .. سيضيف
+
+563
+00:43:35,060 --> 00:43:41,480
+مساهمة جدا لتغيير السرعة لأن تغيير السرعة زاد
+
+564
+00:43:41,480 --> 00:43:47,210
+تمامايقول الـ acceleration في النهاية vector وأنا
+
+565
+00:43:47,210 --> 00:43:51,230
+بقدر أحللها إلى مركبتين متعمدتين ولا لأ زيها زي أي
+
+566
+00:43:51,230 --> 00:43:56,300
+vector resolving the acceleration vectorمتجه الـ
+
+567
+00:43:56,300 --> 00:44:00,100
+acceleration into two perpendicular components
+
+568
+00:44:00,100 --> 00:44:05,600
+الشمّة الـ radial بتجاه نص القطر and التنجينشال
+
+569
+00:44:05,600 --> 00:44:11,620
+المماسية if ان صيغة ال acceleration تبعتك الان AR
+
+570
+00:44:11,620 --> 00:44:19,430
+و A فيتا يعني باتجاه الزاوية بسمها مماسية ARلو
+
+571
+00:44:19,430 --> 00:44:24,910
+كتبت انا هيك اخر حاجة هذي a x بتجاه ال I زي دي a y
+
+572
+00:44:24,910 --> 00:44:29,970
+بتجاه ال J في حد بيعترض عليها؟ لأ، شو هو I و J؟ ال
+
+573
+00:44:29,970 --> 00:44:34,930
+I و ال J يعني انت عارفوه، حلو، هذي مركبة صينية،
+
+574
+00:44:34,930 --> 00:44:37,830
+هذي بتجاه الصين، هذي مركبة صادية، هذي بتجاه الصاد،
+
+575
+00:44:37,830 --> 00:44:42,270
+هذي مركبة وسقطرية، هذي بتجاه وسقطر، وهذي مركبة
+
+576
+00:44:42,270 --> 00:44:47,770
+مماسية، هذي بتجاه المماسأذن هدول التنتين الـR
+
+577
+00:44:47,770 --> 00:44:51,510
+فوقها التقية والثيتا فوقها التقية الـ hat هي عبارة
+
+578
+00:44:51,510 --> 00:44:57,310
+عن unit vectors unit vectors unit
+
+579
+00:44:57,310 --> 00:45:01,050
+vector along the radius و unit vector along the
+
+580
+00:45:01,050 --> 00:45:04,570
+tangent يالا يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6aQJUT5jrOk.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6aQJUT5jrOk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e3d40dd43e317bc377c3d39a42b298c7ee150a4f
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6aQJUT5jrOk.srt
@@ -0,0 +1,1602 @@
+1
+00:00:20,670 --> 00:00:27,270
+الله الرحمن الرحيم نستكمل chapter one في المحاضرة
+
+2
+00:00:27,270 --> 00:00:31,410
+السابقة عرفنا الفرق ما بين ال vectors و ال
+
+3
+00:00:31,410 --> 00:00:37,710
+scalars ثم بطريقة هندسية عرفنا كيف نتعامل
+
+4
+00:00:37,710 --> 00:00:42,610
+algebraically مع ال vectors كيف نجمعهم و كيف
+
+5
+00:00:42,610 --> 00:00:48,830
+نطرحهم الآن بدنا نحاول نمثل ال vectors بطريقة
+
+6
+00:00:48,830 --> 00:00:55,600
+جبرية بصورة أبسط من الطريقة الهندسية عشان نعمل هيك
+
+7
+00:00:55,600 --> 00:01:01,560
+بدنا نحكي الآن عن ال components of vectors حكينا
+
+8
+00:01:01,560 --> 00:01:09,260
+أن أي vector بالـ X Y plane ممكن يكون ينحلل أو يكون
+
+9
+00:01:09,260 --> 00:01:14,940
+هو مجموع مركبتين زي ما أنتم شايفين في الرسمة أنه
+
+10
+00:01:14,940 --> 00:01:20,600
+مجموع الـ vector اللي موجود بالاتجاه الأفقي زائد الـ
+
+11
+00:01:20,600 --> 00:01:23,780
+vector اللي موجود بالاتجاه الرأسي هو نفسه الـ
+
+12
+00:01:23,780 --> 00:01:41,490
+vector A بمعنى آخر أن الـ vector A بمعنى آخر
+
+13
+00:01:41,490 --> 00:01:45,150
+ممكن نكتب الـ vector A كـ addition between two
+
+14
+00:01:45,150 --> 00:01:51,110
+vectors الـ vector الأول AX i و الـ vector الثاني AY j
+
+15
+00:01:51,640 --> 00:01:55,860
+تمام و الـ i و الـ j هم الـ unit vectors اللي اتفقنا
+
+16
+00:01:55,860 --> 00:02:02,540
+عليهم في المحاضرة السابقة الآن المركبات Ax و Ay
+
+17
+00:02:02,540 --> 00:02:07,700
+بنسميهم الـ X component و الـ Y component of the
+
+18
+00:02:07,700 --> 00:02:14,300
+vector A الآن كيف أجيب هدول الـ components من الرسمة
+
+19
+00:02:14,300 --> 00:02:18,580
+واضح أنه لو كان في عندي الـ vector A بيعمل زاوية
+
+20
+00:02:18,580 --> 00:02:25,320
+مقدارها θ with the positive x axis ويعرف أن
+
+21
+00:02:25,320 --> 00:02:32,860
+المركبة الأفقيّة لأي متجه مرتبطة بمعنى
+
+22
+00:02:32,860 --> 00:02:39,460
+A نفسها بمعنى آخر بمعنى A المركبة الأفقيّة المرتبطة
+
+23
+00:02:39,460 --> 00:02:39,820
+بمعنى A مرتبطة بمعنى A المركبة الأفقيّة المرتبطة
+
+24
+00:02:39,820 --> 00:02:40,780
+الأفقيّة المرتبطة بمعنى A المركبة الأفقيّة المرتبطة
+
+25
+00:02:40,780 --> 00:02:42,500
+بمعنى A المركبة الأفقيّة المرتبطة بمعنى A المركبة
+
+26
+00:02:42,500 --> 00:02:43,180
+الأفقيّة المرتبطة بمعنى A المركبة الأفقيّة المرتبطة
+
+27
+00:02:43,180 --> 00:02:45,460
+بمعنى A المركبة الأفقيّة المرتبطة بمعنى A المركبة
+
+28
+00:02:45,460 --> 00:02:46,260
+الأفقيّة المرتبطة بمعنى
+
+29
+00:02:51,030 --> 00:02:56,370
+بحيث إن الـ magnitude هو وتر المُثلث قائم الزاوية
+
+30
+00:02:56,370 --> 00:03:00,030
+اللي ضلعينه المُركّبة الأفقيّة ومُركّبة الرأسية
+
+31
+00:03:00,030 --> 00:03:04,370
+وبالتالي الـ magnitude of any vector is given by
+
+32
+00:03:04,370 --> 00:03:10,370
+the equation the square root of ax² plus ay² تمام
+
+33
+00:03:10,370 --> 00:03:16,090
+إذا كانت الـ vector لديها جزء ثالث يمكننا أن نكتب
+
+34
+00:03:16,090 --> 00:03:24,790
+A = Ax i + AY j + AZ k وهنا المركبة الثالثة
+
+35
+00:03:24,790 --> 00:03:31,470
+is called the Z component of the vector A تمام لازم
+
+36
+00:03:31,470 --> 00:03:37,250
+تكون واضح أن عشان الـ vector يكون يساوي zero لازم
+
+37
+00:03:37,250 --> 00:03:41,670
+كل مركباته تساوي zero لأنه no way أن يكون أنا عندي
+
+38
+00:03:41,670 --> 00:03:45,670
+هنا المقدار صفر وهي عندي هنا أي رقم موجود إذا هنا
+
+39
+00:03:45,670 --> 00:03:48,410
+في عندي رقم مستحيل يطلع الـ magnitude zero وبالتالي
+
+40
+00:03:48,410 --> 00:03:52,890
+عشان الـ magnitude يكون zero لازم كل المركبات تكون
+
+41
+00:03:52,890 --> 00:03:59,740
+zero خلينا نحل مثال مباشر على هذا الموضوع بيقول A
+
+42
+00:03:59,740 --> 00:04:04,580
+vector A lying in the xy plane يعني ما فيش مركبة
+
+43
+00:04:04,580 --> 00:04:09,100
+تالتة it has only two components x component and y
+
+44
+00:04:09,100 --> 00:04:12,960
+component the magnitude of the vector is 50 units
+
+45
+00:04:12,960 --> 00:04:18,940
+and is directed at an angle of 120 degree to the
+
+46
+00:04:18,940 --> 00:04:23,070
+positive x axis يعني هذا هو الـ vector الـ Vector
+
+47
+00:04:23,070 --> 00:04:27,290
+بحسب ما هو واضح في الرسمة، معطى معطى معطى
+
+48
+00:04:27,290 --> 00:04:27,870
+معطى معطى معطى معطى معطى معطى معطى
+
+49
+00:04:27,870 --> 00:04:29,890
+معطى معطى معطى معطى معطى معطى معطى
+
+50
+00:04:29,890 --> 00:04:30,790
+معطى معطى معطى معطى معطى معطى معطى
+
+51
+00:04:30,790 --> 00:04:32,470
+معطى معطى معطى معطى معطى معطى معطى
+
+52
+00:04:32,470 --> 00:04:36,790
+معطى معطى
+
+53
+00:04:36,790 --> 00:04:39,990
+معطى
+
+54
+00:04:39,990 --> 00:04:44,310
+مع
+
+55
+00:04:44,870 --> 00:04:48,970
+طبعًا واضح زي ما اتفقنا كون الـ vector بيقع في الـ x
+
+56
+00:04:48,970 --> 00:04:53,270
+y plane it has two components one along the x axis
+
+57
+00:04:53,270 --> 00:04:58,570
+and the other along the y axis along the x axis it
+
+58
+00:04:58,570 --> 00:05:02,610
+must be negative according to the figure so we can
+
+59
+00:05:02,610 --> 00:05:02,970
+write
+
+60
+00:05:05,760 --> 00:05:13,480
+Ax = A cos θ and equal minus 25 units and Ay = A sin
+
+61
+00:05:13,480 --> 00:05:21,740
+θ and done by calculator and the result is 43.3
+
+62
+00:05:21,740 --> 00:05:25,520
+units it is straightforward to find the components
+
+63
+00:05:25,520 --> 00:05:28,600
+of any vector if the magnitude is given and the
+
+64
+00:05:28,600 --> 00:05:36,290
+angle it makes with any axis is known تمام الآن بعد
+
+65
+00:05:36,290 --> 00:05:40,110
+ما عرفنا كيف نكتب الـ vectors بدلالة الـ unit
+
+66
+00:05:40,110 --> 00:05:45,170
+vectors بيصير سهل علينا كيف نتعامل مع الـ vectors
+
+67
+00:05:45,170 --> 00:05:49,830
+بكل العمليات الحسابية تبعته بمعنى آخر الجمع،
+
+68
+00:05:49,830 --> 00:05:54,590
+الطرح، الضرب، كل هذه الأمور نبدأ كيف نجمع two
+
+69
+00:05:54,590 --> 00:05:58,970
+vectors لو كانوا مكتوبين بدلالة unit vectors
+
+70
+00:05:58,970 --> 00:06:04,030
+أبعاده to add two vectors analytically مش هندسيًا
+
+71
+00:06:05,070 --> 00:06:08,990
+ولا بدي أرسم ولا بدي بكار ولا بدي منقلة فقط أعمل
+
+72
+00:06:08,990 --> 00:06:15,390
+عملية حسابية سهلة ومباشرة كيف نجعل نعمل؟ we must
+
+73
+00:06:15,390 --> 00:06:19,410
+proceed as follows بيقول ي resolve each vector
+
+74
+00:06:19,410 --> 00:06:22,650
+into its components according to a suitable
+
+75
+00:06:22,650 --> 00:06:27,130
+coordinate axis بمعنى آخر كل vector لازم أجيب
+
+76
+00:06:27,130 --> 00:06:31,290
+مركباته إذا ما أعطاني مركباته جاهزة Okay إذا
+
+77
+00:06:31,290 --> 00:06:35,490
+أعطانيها بدون مركبات بأستطيع إن أنا أحلله إلى
+
+78
+00:06:35,490 --> 00:06:40,850
+مركباته حسب الـ axis اللي أنا بأختارها اثنين بدي
+
+79
+00:06:40,850 --> 00:06:46,990
+أجمع جمع جبري add algebraically the x components
+
+80
+00:06:46,990 --> 00:06:50,650
+of the individual vectors to obtain the x
+
+81
+00:06:50,650 --> 00:06:53,810
+component of the resultant vector بأجيب الـ x
+
+82
+00:06:53,810 --> 00:06:57,190
+components بجمعهم مع بعض تعطيني الـ x component of
+
+83
+00:06:57,190 --> 00:07:01,820
+the resultant vector أعمل نفس الشيء بالمركبة الأخرى
+
+84
+00:07:01,820 --> 00:07:05,880
+بمعنى آخر لو كان عندي الـ vector A اللي يُكتب كما
+
+85
+00:07:05,880 --> 00:07:13,100
+اتفقنا بدلالته العامة Ax i + Ay j + Az k and
+
+86
+00:07:13,100 --> 00:07:17,940
+another vector B written in the same form بإمكاننا
+
+87
+00:07:17,940 --> 00:07:23,500
+إضافة المتجهين الاثنين لإعطاء المتجه الناتج R
+
+88
+00:07:23,500 --> 00:07:29,160
+كما نفعل هنا بإضافة المتجهين الاثنين Ax i + Bx i
+
+89
+00:07:29,160 --> 00:07:37,240
+بإضافة المتجه Ay j + By j والمتجه Az k
+
+90
+00:07:37,240 --> 00:07:43,910
++ Bz k يعني بنجمع الـ components المتناظرة مع
+
+91
+00:07:43,910 --> 00:07:46,890
+بعض الـ X مع الـ X و الـ Y مع الـ Y و الـ Z مع Z
+
+92
+00:07:46,890 --> 00:07:51,430
+بيعطينا الـ resultant vector اللي جديد بكل الـ
+
+93
+00:07:51,430 --> 00:07:55,890
+components تبعته العملية كثير سهلة مجرد الـ X
+
+94
+00:07:55,890 --> 00:07:58,530
+component مع الـ X component و الـ Y component مع الـ
+
+95
+00:07:58,530 --> 00:08:01,610
+Y component و الـ Z component مع الـ Z component للـ
+
+96
+00:08:01,610 --> 00:08:08,470
+vectors اللي بنجري عملية الجمع لهم الآن مثال سريع
+
+97
+00:08:08,470 --> 00:08:12,170
+على هذا الموضوع بيقول we have two vectors A =
+
+98
+00:08:12,170 --> 00:08:19,330
+4i + 3j and B = -3i + 7j each of
+
+99
+00:08:19,330 --> 00:08:23,350
+the two vectors have only two components x and y
+
+100
+00:08:23,350 --> 00:08:29,780
+components Find the resultant vector R = A +
+
+101
+00:08:29,780 --> 00:08:38,460
+B اتفقنا توي أن عملية الجمع بتتم باستخدام القاعدة
+
+102
+00:08:38,460 --> 00:08:42,320
+اللي حكيناها سابقًا أن الـ X component تبعت الـ
+
+103
+00:08:42,320 --> 00:08:45,800
+vector A بنجمعها مع الـ X component تبعت الـ vector B
+
+104
+00:08:45,800 --> 00:08:49,580
+الـ X component تبعت الـ vector A هو 4 والـ X
+
+105
+00:08:49,580 --> 00:08:57,790
+component تبعت الـ B هو -3 الـ 4 مع الـ -3 نحن
+
+106
+00:08:57,790 --> 00:09:02,770
+نحصل على 1 أيضًا لكي نحصل على جزء Y من الوضع
+
+107
+00:09:02,770 --> 00:09:11,630
+الواضح نضيف جزء Y من A مع جزء Y من B وهو 3 + 7
+
+108
+00:09:11,630 --> 00:09:17,530
+بمعنى آخر هؤلاء هم الأسماء التي تم إعطاؤها في
+
+109
+00:09:17,530 --> 00:09:25,690
+المشكلة ونكتب Rx + Bx i + Ay + By j
+
+110
+00:09:25,690 --> 00:09:30,630
+تغيير لأكس أكس أكس أكس أكس أكس أكس أكس أكس
+
+111
+00:09:30,630 --> 00:09:40,160
+أكس أكس أكس أكس أكس i = i + 10j فهو
+
+112
+00:09:40,160 --> 00:09:46,700
+مثلًا طبيعي للغاية فقط إضافة أرقام جبرية سهلة جدًا
+
+113
+00:09:46,700 --> 00:09:50,240
+فقط X component with X component و Y component
+
+114
+00:09:50,240 --> 00:09:54,940
+with Y component لا يمكننا إضافة Z component of
+
+115
+00:09:54,940 --> 00:10:03,360
+vector A مع أي مجموعة غير X component مثلًا آخر،
+
+116
+00:10:03,360 --> 00:10:09,620
+الآن المتجهات التي تمتلكها ليست مكتوبة بمعنى
+
+117
+00:10:09,620 --> 00:10:17,140
+المتجهات الخاصة المثال يقول إن جزء يتعامل بـ ..
+
+118
+00:10:17,140 --> 00:10:19,220
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+119
+00:10:19,220 --> 00:10:20,580
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+120
+00:10:20,580 --> 00:10:22,160
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+121
+00:10:22,160 --> 00:10:22,440
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+122
+00:10:22,440 --> 00:10:22,800
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+123
+00:10:22,800 --> 00:10:40,600
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+124
+00:10:40,600 --> 00:10:46,610
+جزء يتعامل التي تقوم بتقرير المسافة بطريقة سنتيمتر
+
+125
+00:10:46,610 --> 00:10:52,290
+D₂ = 2i - j - 3k سنتيمتر
+
+126
+00:11:11,090 --> 00:11:16,810
+بنشوف الإزاحة الكليّة للـ particle عنده ثلاثة
+
+127
+00:11:16,810 --> 00:11:22,330
+إزاحات متتالية ومعطية لنا بكل تفاصيلها بالـ D
+
+128
+00:11:22,330 --> 00:11:28,100
+المحصلة هي المحصلة جمعت ثلاثة إزاحات المُعطاة إليه في
+
+129
+00:11:28,100 --> 00:11:31,020
+المثال السابق جمعنا two vectors، الآن نجمع three
+
+130
+00:11:31,020 --> 00:11:35,540
+vectors، القاعدة لا تختلف X component مع الأول، X
+
+131
+00:11:35,540 --> 00:11:38,760
+component مع الثانية، X component مع الثالثة
+
+132
+00:11:38,760 --> 00:11:43,000
+نُجمعها مع بعض، Y component مع الثانية، Y component
+
+133
+00:11:43,000 --> 00:11:47,640
+مع الثالثة الأولى والثالثة، وهكذا الطريقة الموجودة
+
+134
+00:11:47,640 --> 00:11:51,280
+هي R أكثر من الوضع الوحيد الوحيد الوحيد الوحيد
+
+135
+00:11:51,280 --> 00:11:54,920
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+136
+00:11:54,920 --> 00:11:57,060
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+137
+00:11:57,060 --> 00:11:59,060
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+138
+00:11:59,060 --> 00:12:00,100
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+139
+00:12:00,100 --> 00:12:01,120
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+140
+00:12:01,120 --> 00:12:01,880
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+141
+00:12:01,880 --> 00:12:10,140
+الوحيد الوحيد الوحيد الوحيد الوحيد
+
+142
+00:12:10,140 --> 00:12:12,180
+ال
+
+143
+00:12:16,490 --> 00:12:19,930
+ثلاثة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+144
+00:12:19,930 --> 00:12:34,770
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+145
+00:12:34,970 --> 00:12:40,170
+another example a particle undergoes the following
+
+146
+00:12:40,170 --> 00:12:45,670
+consecutive displacement أيضًا عندي جسيم بيعمل ثلاثة
+
+147
+00:12:45,670 --> 00:12:52,470
+إزاحات متتالية الآن بيعطينا إياها باتجاهات مختلفة
+
+148
+00:12:52,470 --> 00:12:58,570
+بيقول 4.3 متر southeast الجنوب
+
+149
+00:12:58,570 --> 00:13:08,940
+الشرقي ثم 2.4 متر شرقًا ثم ماشي 2.24 متر باتجاه
+
+150
+00:13:08,940 --> 00:13:17,000
+الشرق و 5.2 متر باتجاه الشمال أجد المدى واتجاه
+
+151
+00:13:17,000 --> 00:13:20,420
+الـ resultant vector برضه بدي الـ resultant vector
+
+152
+00:13:20,420 --> 00:13:25,200
+بدي المحصلة المشكلة هنا الجديدة أن الـ vectors
+
+153
+00:13:25,200 --> 00:13:28,360
+ما أعطاني إياهم جاهزين بقالب الـ
+
+154
+00:13:28,360 --> 00:13:32,040
+components تبعتهم أعطاني الـ magnitude و أعطاني
+
+155
+00:13:32,040 --> 00:13:37,240
+الزاوية اللي بيعملها الـ vector مع أحد المحاور قال
+
+156
+00:13:37,240 --> 00:13:45,340
+لي الـ first displacement is 4.3 متر southeast so
+
+157
+00:13:45,340 --> 00:13:52,770
+the angle it makes is 45 degree هو بالضبط الشرق
+
+158
+00:13:52,770 --> 00:14:00,130
+الأوسط ثم التجهيز الثاني هو 2.4 متر مباشرة شرقًا
+
+159
+00:14:00,130 --> 00:14:06,570
+الأوسط فهو عينيا ثالث هو 5.2 متر مباشرة شرقًا
+
+160
+00:14:06,570 --> 00:14:13,060
+الأعلى the vector in blue الـ vector اللي باللون
+
+161
+00:14:13,060 --> 00:14:18,180
+الأزرق هو بيمثل المحصلة لأن محصلة الـ displacement
+
+162
+00:14:18,180 --> 00:14:23,340
+وين كان وين صار كان بدأ من هنا في النهاية وصل هنا
+
+163
+00:14:23,340 --> 00:14:29,360
+فهذا هو محصلة الـ displacement اللي عندي لكن كيف
+
+164
+00:14:29,360 --> 00:14:35,730
+أجيبها analytically بصورة جبرية سهلة يجب علينا أن
+
+165
+00:14:35,730 --> 00:14:40,670
+نعرف كل مقدار الانتقال في حسب مقدار المقدار المقدار
+
+166
+00:14:40,670 --> 00:14:41,410
+الوحيد
+
+167
+00:14:44,510 --> 00:14:51,570
+D₁ لديها اتجاهات اتجاهات اتجاه D₁ لديها اتجاهات
+
+168
+00:14:51,570 --> 00:14:53,390
+اتجاه D₁ لديها اتجاه D₁ لديها اتجاه D₁ لديها
+
+169
+00:14:53,390 --> 00:14:59,030
+اتجاه D₁ لديها اتجاه D₁ لديها اتجاه D₁ لديها
+
+170
+00:14:59,030 --> 00:15:00,030
+اتجاه D₁ لديها اتجاه D₁ لديها اتجاه D₁ لديها
+
+171
+00:15:00,030 --> 00:15:00,790
+اتجاه D₁ لديها اتجاه D₁ لديها اتجاه D₁ لديها
+
+172
+00:15:00,790 --> 00:15:03,030
+اتجاه D₁ لديها اتجاه D₁ لديها اتجاه D₁ لديها
+
+173
+00:15:03,030 --> 00:15:08,470
+اتجاه D₁ لديها اتجاهات نقول الـ three displacements
+
+174
+00:15:08,470 --> 00:15:16,790
+can be written as D₁ = 4.3 cos 45 باتجاه i
+
+175
+00:15:16,790 --> 00:15:22,170
+و الـ - هنا عشان المركبة الصادية إلى الأسفل
+
+176
+00:15:22,450 --> 00:15:26,270
+المُركّبة إلى الأسفل فبدي أكون أنا مُلك بيه إنه
+
+177
+00:15:26,270 --> 00:15:29,730
+أنا عندي مُركّبة إلى الأسفل إذا بديش أحط السالب
+
+178
+00:15:29,730 --> 00:15:33,630
+بدي أخذ الزاوية هذه كلها وبحط عند
+
+216
+00:18:49,320 --> 00:18:53,960
+axis معروف وثابت كوني أنا حددت الزاوية هذا بيقول
+
+217
+00:18:53,960 --> 00:18:57,020
+أنه أنا عرفت وين الـ direction تبعها لو أنا قلت
+
+218
+00:18:57,020 --> 00:19:00,660
+والله بيعمل زاوية عشرين درجة مع الـ x axis خلاص هذا
+
+219
+00:19:00,660 --> 00:19:04,600
+بيكون أعطاني جواب الكامل لـ direction of any vector
+
+220
+00:19:04,600 --> 00:19:08,660
+إذا to find the direction of a vector, it is enough
+
+221
+00:19:08,660 --> 00:19:13,300
+to determine the angle the vector makes with a
+
+222
+00:19:13,300 --> 00:19:17,520
+specific axis, أي axis. The angle θ makes with the x
+
+223
+00:19:17,520 --> 00:19:22,740
+-axis is احنا الآن بدنا زاوية θ، زاوية θ زي ما هي
+
+224
+00:19:22,740 --> 00:19:30,600
+واضحة بالرسمة، هي عبارة عن 10 inverse of the y
+
+225
+00:19:30,600 --> 00:19:34,660
+components over the x components. It is clear from
+
+226
+00:19:34,660 --> 00:19:39,680
+the figure here. So, we write θ equal to 10 inverse
+
+227
+00:19:39,680 --> 00:19:44,440
+of Ry على Rx. وبيعطيني by calculations 21
+
+228
+00:19:44,440 --> 00:19:52,430
+.approximately 7 degreeالجهة التي تعطي اتجارة
+
+229
+00:19:52,430 --> 00:19:54,950
+محدودة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+230
+00:19:54,950 --> 00:19:55,890
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+231
+00:19:55,890 --> 00:20:00,370
+نتيجة
+
+232
+00:20:00,370 --> 00:20:01,550
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+233
+00:20:01,550 --> 00:20:04,430
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+234
+00:20:04,430 --> 00:20:15,170
+نتيجة نتيجة نتيجة نتيج
+
+235
+00:20:15,770 --> 00:20:24,790
+A Plus P Equals 5I. 5I فالنتيجة الوحيدة الموجودة في
+
+236
+00:20:24,790 --> 00:20:32,450
+الوقت الحالي ونحتاج الوحيدة A التي أُضيفت مع وحيدة
+
+237
+00:20:32,450 --> 00:20:38,730
+B التي موجودة في الوقت الحالي، فالنتيجة هي 5I. ماذا
+
+238
+00:20:38,730 --> 00:20:41,850
+نستطيع أن نقول من المعلومات الموجودة في الوقت
+
+239
+00:20:41,850 --> 00:20:43,690
+الحالي نختم ذلك
+
+240
+00:20:45,540 --> 00:20:53,540
+المجلد الـ X لـ A، المجلد الـ X لـ B، المجلد الـ X
+
+241
+00:20:53,540 --> 00:21:00,940
+لـ Y، المجلد الـ Y، المجلد الـ Y، المجلد الـ Y، المجلد
+
+242
+00:21:00,940 --> 00:21:03,080
+الـ Y، المجلد الـ B، المجلد الـ B، المجلد الـ Y
+
+243
+00:21:03,080 --> 00:21:04,880
+المجلد الـ Y، المجلد الـ B، المجلد الـ B، المجلد الـ
+
+244
+00:21:04,880 --> 00:21:06,340
+المجلد الـ Y، المجلد الـ Y، المجلد الـ Y، المجلد الـ
+
+245
+00:21:06,340 --> 00:21:08,460
+Y، المجلد الـ Y، المجلد الـ Y، المجلد الـ Y، المجلد
+
+246
+00:21:08,460 --> 00:21:13,220
+الـ Y، المجلد الـ Y
+
+247
+00:21:13,220 --> 00:21:19,080
+الـ ax plus bx equal five and ay plus by
+
+248
+00:21:19,080 --> 00:21:25,780
+equal to zero. So we have two equations and we can
+
+249
+00:21:25,780 --> 00:21:31,320
+solve easily to write after substituting for bx
+
+250
+00:21:31,320 --> 00:21:38,240
+and by, ax equal five minus bx and gives one and a
+
+251
+00:21:38,240 --> 00:21:49,880
+so ay، آسف هنا لدينا ay أكثر من by، لأن by أكثر من 3
+
+252
+00:21:49,880 --> 00:21:55,640
+هنا، لذلك يجب أن يكون هذا أقل من 3، لأن y أكثر من 3
+
+253
+00:21:55,640 --> 00:22:01,880
+لذلك هنا، هنا لدينا شيء غير صحيح، لذلك هذا أكثر من i
+
+254
+00:22:01,880 --> 00:22:09,740
+أكثر من 3j. وهذا هو النتيجة الصحيحة إذا تم إعطاء
+
+255
+00:22:09,740 --> 00:22:12,720
+نتائج نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+256
+00:22:12,720 --> 00:22:14,260
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+257
+00:22:14,260 --> 00:22:15,020
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+258
+00:22:15,020 --> 00:22:19,600
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+259
+00:22:19,600 --> 00:22:22,820
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+260
+00:22:22,820 --> 00:22:29,540
+نتيجة نتيجة نتيجة نتيجة
+
+261
+00:22:31,260 --> 00:22:38,720
+بإضافة مجموعات متشابهة أو المجموعات المتشابهة، فهو
+
+262
+00:22:38,720 --> 00:22:45,100
+أسهل للكتابة وأسهل للتخطيط، كيف نستطيع أن نصنع
+
+263
+00:22:45,100 --> 00:22:54,900
+اتجارتين؟ لدينا ثلاث مجموعات، Vectors. The first type
+
+264
+00:22:54,900 --> 00:22:58,400
+is multiplying a vector by a scalar، كثير من
+
+265
+00:22:58,400 --> 00:23:03,780
+المعادلات الفيزيائية اللي هتمر علينا بيقولي vector
+
+266
+00:23:03,780 --> 00:23:08,100
+مطلوب بـ scalar. مثلا القانون اللي هنعرفه، قانون الـ
+
+267
+00:23:08,100 --> 00:23:15,150
+Neutral، التاني المشهور F equal M A، عندي معادلة A
+
+268
+00:23:15,150 --> 00:23:21,890
+أكسليراتيشن، هي كتابة مرتبطة بكتابة كبيرة، وهي كتابة
+
+269
+00:23:21,890 --> 00:23:25,570
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+270
+00:23:25,570 --> 00:23:28,770
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+271
+00:23:28,770 --> 00:23:28,830
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+272
+00:23:28,830 --> 00:23:28,930
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+273
+00:23:28,930 --> 00:23:30,250
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+274
+00:23:30,250 --> 00:23:36,470
+مرتبطة
+
+275
+00:23:36,470 --> 00:23:42,690
+بالكتابة. هنا مرة أخرى، مرتبطنا الوثيقة التي هي
+
+276
+00:23:42,690 --> 00:23:48,450
+التسلسل بوقت، ووقتها مرتبط بوقت مرتبط بوقت مرتبط
+
+277
+00:23:48,450 --> 00:23:48,770
+مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط
+
+278
+00:23:48,770 --> 00:23:50,670
+بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت
+
+279
+00:23:50,670 --> 00:23:52,510
+مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط
+
+280
+00:23:52,510 --> 00:23:59,490
+بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت
+
+281
+00:23:59,490 --> 00:24:06,150
+مرتبط بوقت مرتبط بوقت مرتب. هنا نرى if λ مضى is a
+
+282
+00:24:06,150 --> 00:24:11,690
+scalar, any arbitrary scalar, مثل الوقت، الهجوم،
+
+283
+00:24:11,690 --> 00:24:17,490
+أي عدد كبير أو عدد كبير أو عدد كبير في الجسم، and
+
+284
+00:24:17,490 --> 00:24:23,570
+E is a vector. فرصة، تسلسل، سرعة، ممينطة وكذلك
+
+285
+00:24:25,120 --> 00:24:31,180
+الوكتورة لمادة مرتبطة بالـ a، ما فعلناه هنا لمادة
+
+286
+00:24:31,180 --> 00:24:37,560
+مرتبطة بكل جزء من الوكتورة لمادة مرتبطة بالجزء X
+
+287
+00:24:37,560 --> 00:24:45,280
+من الوكتورة A، مرتبطة بجزء Y من الوكتورة A، ومرتبطة
+
+288
+00:24:45,280 --> 00:24:49,260
+مرة أخرى بجزء
+
+289
+00:24:49,260 --> 00:24:56,190
+Z من الوكتورة A. لذلك من الواضح الآن أن الاتجاه
+
+290
+00:24:56,190 --> 00:25:02,070
+لـ Lambda A هو نفس الاتجاه لـ A إذا كان Lambda
+
+291
+00:25:02,070 --> 00:25:08,490
+موجباً، ولكن إذا كانت سالبة، فالاتجاه هو عكس اتجاه
+
+292
+00:25:08,490 --> 00:25:15,730
+الـ A نفسها. لذلك إذا Lambda موجباً، وعكس A إذا كان
+
+293
+00:25:15,730 --> 00:25:22,520
+Lambda سالباً. النوع الآخر لـ product of two
+
+294
+00:25:22,520 --> 00:25:27,960
+vectors هو الـ scalar product، بعض الأحيان نسميها
+
+295
+00:25:27,960 --> 00:25:35,280
+dot product. نرجع لماذا نسمي الأسماء... و نرجع
+
+296
+00:25:35,280 --> 00:25:39,420
+للمثال اللي دائماً بنكرره لكل مسمى من اسمه نصيب، ليش
+
+297
+00:25:39,420 --> 00:25:44,400
+سميناه scalar product؟ عشان الناتج scalar. ليه
+
+298
+00:25:44,400 --> 00:25:47,860
+سميناه dot product؟ عشان بين الـ two vectors بنحط
+
+299
+00:25:47,860 --> 00:25:53,100
+dot. وبالتالي the scalar product of two vectors a
+
+300
+00:25:53,100 --> 00:25:58,880
+and b denoted by a dot b. عشان كده بنسميه dot
+
+301
+00:25:58,880 --> 00:26:02,940
+product. عشان هذه الـ dot الإشارة اللي بنحطها بين الـ
+
+302
+00:26:02,940 --> 00:26:07,220
+two vectors هي dot. هذا هو الـ scalar product is a
+
+303
+00:26:07,220 --> 00:26:13,500
+scalar quantity. الناتج أيش؟ scalar. سنبني scalar
+
+304
+00:26:13,500 --> 00:26:17,500
+product. عشان اتضالها مرسومة عندنا، سميت scalar
+
+305
+00:26:17,500 --> 00:26:22,660
+product. عشان مستحيل ا drop two vectors scalar
+
+306
+00:26:22,660 --> 00:26:26,940
+product ويطلع عندي vector، لازم يطلع عندي scalar زي
+
+307
+00:26:26,940 --> 00:26:35,440
+لما نقول F.SS is a force, S is a displacement. There
+
+308
+00:26:35,440 --> 00:26:40,800
+are two vectors، انضربوا، الناتج work، الـ work is a
+
+309
+00:26:40,800 --> 00:26:45,400
+scalar. وبالتالي أنا عندي two vectors، ضربتهم scalar
+
+310
+00:26:45,400 --> 00:26:50,120
+product، طلع لي كمية فيزيائية scalar. هذا هو الـ
+
+311
+00:26:50,120 --> 00:26:53,700
+scalar product. أكثر من المعادلات اللي هتمر علينا
+
+312
+00:26:53,700 --> 00:26:57,870
+في الفيزياء في الشباتر التالية، وحتى في المثقات
+
+313
+00:26:57,870 --> 00:27:00,970
+التالية بيكون عندي two vectors، انضربوا مع بعض
+
+314
+00:27:00,970 --> 00:27:07,030
+طلع لي كمية ثالثة بتكون scalar. هذا بنسميه ناتج من
+
+315
+00:27:07,030 --> 00:27:11,590
+scalar product of two vectors. كيف التعريف تبعها
+
+316
+00:27:11,590 --> 00:27:18,710
+بيقول A ضد B بيساوي مجموعة A في مجموعة B في cosine
+
+317
+00:27:18,710 --> 00:27:20,530
+الزاوية اللي بينهم.
+
+318
+00:27:24,800 --> 00:27:27,740
+فيتا هي أقصى مقارنة بين الاثنين الـ vectors، فيتا هي
+
+319
+00:27:27,740 --> 00:27:33,680
+أقصى
+
+320
+00:27:33,680 --> 00:27:39,380
+مقارنة بين الاثنين الـ vectors. ثم نعود إلى الـ vectors
+
+321
+00:27:39,380 --> 00:27:46,330
+الوحدة التي نعرفها عليهم. كل vector مرتبط بـ axes معين
+
+322
+00:27:46,330 --> 00:27:50,770
+الشغل اللي عارفينها، إن I مرتبط بالـ X، J مرتبط بالـ Y
+
+323
+00:27:50,770 --> 00:27:55,130
+و K مرتبط بالـ Z. كون الـ X والـ Y والـ Z are
+
+324
+00:27:55,130 --> 00:27:59,070
+perpendicular to each other، يعني الزاوية بين كل
+
+325
+00:27:59,070 --> 00:28:03,820
+واحد منهم وأخوه 90 درجة. الزاوية بين I و J هو 90،
+
+326
+00:28:03,820 --> 00:28:08,600
+بين I و K هو 90، بين J و K هو 90، يعني الزاوية بين
+
+327
+00:28:08,600 --> 00:28:13,680
+two vectors is known and equal to pi over two. So
+
+328
+00:28:13,680 --> 00:28:20,100
+I dot I equal I dot K equal K dot J equal cosine
+
+329
+00:28:21,730 --> 00:28:26,710
+التسعين، وكوساين التسعين هو صفر. وبالتالي الـ dot
+
+330
+00:28:26,710 --> 00:28:29,810
+product between any two unit vectors perpendicular
+
+331
+00:28:29,810 --> 00:28:36,810
+to each other gives zero. طيب إيش هو الـ I ضد I بساوي؟
+
+332
+00:28:36,810 --> 00:28:40,710
+مجموعة I هي 1 في مجموعة I الثانية في 1، 1
+
+333
+00:28:40,710 --> 00:28:43,890
+في 1، 1 في كوساين الزاوية بين I و I، صفر.
+
+334
+00:28:43,890 --> 00:28:48,690
+الزاوية بين أي vector وأخوه أو نفسه. كوساين الـ 0 هو 1.
+
+335
+00:28:48,690 --> 00:28:59,130
+وبالتالي I ضرب I هو 1، J ضرب J هو 1، K ضرب K هو 1. طيب
+
+336
+00:28:59,130 --> 00:29:04,630
+ندرب الـ two vectors as a scalar product ونكتب
+
+337
+00:29:04,630 --> 00:29:09,670
+الـ two vectors بهذه الصيغة، يلا نضرب. أنا باكتب الـ A
+
+338
+00:29:09,670 --> 00:29:13,690
+وبأكتب الـ B، وعنده dot product بينهم، أنا بدي أضرب
+
+339
+00:29:13,690 --> 00:29:18,530
+جوس بجوس، كنا بنعرف كيف نضرب جوس بجوس، تعلمناها من
+
+340
+00:29:18,530 --> 00:29:23,290
+بداية المرحلة الإعدادية، بروح وأضرب AX بالـ three
+
+341
+00:29:23,290 --> 00:29:27,590
+terms في الـ vector الثاني، بس بدي انتباه أنه في عنده
+
+342
+00:29:27,590 --> 00:29:32,190
+dot product بين I و I، و I و J، و I و K، وهكذا الـ
+
+343
+00:29:32,190 --> 00:29:37,820
+term الثاني، وهكذا الـ term الثالث. نيجي نضرب، ضربت AX
+
+344
+00:29:37,820 --> 00:29:54,580
+BX I GOT IAXBY I J AXBZ I K AYBX J I AYBY J J AYBZ
+
+345
+00:29:54,580 --> 00:30:11,300
+J K AYBX K I AYBY K J AYBZ K K. هنا إيش بيقول لي I.J 0
+
+346
+00:30:11,300 --> 00:30:24,380
+I.K 0، K.J 0، أما I.I 1، J.J 1، و K.K 1. انطبق بصير I.J 0، I
+
+347
+00:30:24,380 --> 00:30:36,500
+.K 0، J.I أو I.J 1، J.J، دلك J.K زيرو، K.I أيضاً زيرو، و K
+
+348
+00:30:36,500 --> 00:30:42,320
+.J زيرو. إيش بيتبقى عندي؟ كان عندي تسع حدود، أصفىت
+
+349
+00:30:42,320 --> 00:30:51,950
+على ثلاثة. I.I بيساوي 1، J.J بيساوي 1، K.K بيساوي
+
+350
+00:30:51,950 --> 00:30:57,770
+واحد. إذا النتيجة هذا 1 وهذا 1 وهذا 1
+
+351
+00:30:57,770 --> 00:31:03,870
+طيب، صفى واكتب النتيجة، طلعت هيك، نتيجة حلوة جداً، إيش
+
+352
+00:31:03,870 --> 00:31:08,090
+بتقول إنه عشان أضرب scalar product between vectors
+
+353
+00:31:08,090 --> 00:31:12,830
+أضرب الـ X component تبع A with the Y component of
+
+354
+00:31:12,830 --> 00:31:17,690
+B with the X component of B، sorry، الـ Y component of
+
+355
+00:31:17,690 --> 00:31:21,390
+A with the Y component of B، and the Z component of
+
+356
+00:31:21,390 --> 00:31:24,810
+A with the Z component of B، يعني بأضرب المركبات
+
+357
+00:31:24,810 --> 00:31:27,830
+الـ x مع بعض، والمركبات الـ y مع بعض، والمركبات
+
+358
+00:31:27,830 --> 00:31:31,750
+الـ z مع بعض. زي ما عملت في الجامعة، كنت أجمع كل
+
+359
+00:31:31,750 --> 00:31:36,450
+المركبات المتشابهة مع بعض. في الـ scalar product أيضاً
+
+360
+00:31:36,450 --> 00:31:40,440
+بأضرب كل المركبات مع بعض، لكن إيش الفرق؟ إن هنا لا في
+
+361
+00:31:40,440 --> 00:31:45,900
+عندي I ولا في عندي J ولا في عندي K. إيه بيعني؟ إن
+
+362
+00:31:45,900 --> 00:31:50,180
+النتيجة Scalar. لو هذه 3 وهذه 4 وهذه
+
+363
+00:31:50,180 --> 00:31:53,600
+2، 3 و 4 7، و 2 9، فالنتيجة
+
+364
+00:31:53,600 --> 00:32:00,000
+9. ما فيش لا I ولا J ولا K، بيطلع عندي رقم Scalar
+
+365
+00:32:00,000 --> 00:32:06,720
+Quantity. تمام، خلّينا نحلم. بيقول لي if the vector a
+
+366
+00:32:06,720 --> 00:32:11,120
+is given with its component clear from the
+
+367
+00:32:11,120 --> 00:32:16,180
+equation، and b also is given with its component as
+
+368
+00:32:16,180 --> 00:32:21,700
+shown now find the angle between the two vectors a
+
+369
+00:32:21,700 --> 00:32:27,240
+and b، he wants the angle between the two vectors
+
+370
+00:32:27,240 --> 00:32:32,740
+which equations. من أي معادلة؟ من المعادلة التي تم
+
+371
+00:32:32,740 --> 00:32:36,720
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+372
+00:32:36,720 --> 00:32:37,460
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+373
+00:32:37,460 --> 00:32:37,680
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+374
+00:32:37,680 --> 00:32:39,400
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+375
+00:32:39,400 --> 00:32:40,860
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+376
+00:32:40,860 --> 00:32:43,600
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+377
+00:32:43,600 --> 00:32:48,800
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+378
+00:32:48,800 --> 00:32:54,400
+إعطاؤها يستطيع أن يجد، المعادلة من المعادلة التي تم
+
+379
+00:32:54,400 --> 00:32:58,600
+إ
+
+380
+00:33:00,670 --> 00:33:06,590
+الجزء يمكن أن يتم إيجاده بدون أي صعوبة، لذلك
+
+381
+00:33:06,590 --> 00:33:14,430
+مجموعه A ومجموعه B يمكننا أن نجدها. ما هو A ضد B،
+
+382
+00:33:14,430 --> 00:33:17,470
+بسهولة التخطيط، دعنا نتابع.
+
+383
+00:33:20,260 --> 00:33:26,840
+المعادلة اللي سنستخدمها هي a ضرب b equal a في b في
+
+384
+00:33:26,840 --> 00:33:32,720
+الـ cosine الزاوية، الـ cosine فيكا equal a ضرب b
+
+385
+00:33:32,720 --> 00:33:36,360
+over a كمجموعه في b كمجموعه.
+
+386
+00:33:38,990 --> 00:33
+
+431
+00:36:57,940 --> 00:37:01,420
+الاسم الاسم
+
+432
+00:37:01,420 --> 00:37:06,580
+الاسم الاسم الاسم الاسم
+
+433
+00:37:06,580 --> 00:37:11,680
+الاسم
+
+434
+00:37:11,680 --> 00:37:19,410
+الاسم الأولًا إيجاد 2A ثم مرتبطه بـB أو إيجاد 2B
+
+435
+00:37:19,410 --> 00:37:26,710
+ثم مرتبطه بـA أو إيجاد A.B ثم مرتبطه بـ2 دعنا نأخذ
+
+436
+00:37:26,710 --> 00:37:34,300
+الأفعال الأولى دعنا نرتبط بـ 2E alone and then
+
+437
+00:37:34,300 --> 00:37:38,060
+multiply it as a scalar product with the vector b
+
+438
+00:37:38,060 --> 00:37:43,540
+to a here we multiplied a scalar by a vector
+
+439
+00:37:43,540 --> 00:37:49,500
+التنين scalar و a is a vector و زي ما كنا نحكي أنه
+
+440
+00:37:49,500 --> 00:37:53,320
+لما أضرب scalar في vector ال scalar بدي يدخل على
+
+441
+00:37:53,320 --> 00:37:58,160
+كل المركبات كل المركبات التلاتة بدهم يضربوا
+
+442
+00:37:58,160 --> 00:38:05,760
+بالاتنين اللي هو ال scalar A 2 في 1 2 سالب 2 في 2
+
+443
+00:38:05,760 --> 00:38:10,680
+سالب 4 ثلاثة في اتنين موجبة بستة إذا هذا هو ال
+
+444
+00:38:10,680 --> 00:38:14,960
+vector to A هذا ال vector الآن بدي أضربه مع ال
+
+445
+00:38:14,960 --> 00:38:19,860
+vector B as a scalar product so the x components
+
+446
+00:38:19,860 --> 00:38:25,410
+are multiplied by each other الـ y components are
+
+447
+00:38:25,410 --> 00:38:29,330
+multiplied by each other and the z components are
+
+448
+00:38:29,330 --> 00:38:34,670
+multiplied by each other to get two مضروبة بـ 2
+
+449
+00:38:34,670 --> 00:38:40,290
+أربعة minus four مضروبة بـ ثلاثة minus twelve ستة
+
+450
+00:38:40,290 --> 00:38:44,090
+مضروبة بـ minus two minus twelve فالجواب minus
+
+451
+00:38:44,090 --> 00:38:50,490
+عشرين طبعا as we said here if one multiply the
+
+452
+00:38:50,490 --> 00:38:56,570
+product a dot b by two or multiply a dot 2b we get
+
+453
+00:38:56,570 --> 00:39:00,430
+the same result يعني لو جيت انا بدأت أضرب اتنين بي
+
+454
+00:39:00,430 --> 00:39:05,170
+ايش بتساوي 2 في 2 4 I plus 3 في
+
+455
+00:39:05,170 --> 00:39:09,890
+2 6 J minus 4 K هذه هي 2B اضرب a
+
+456
+00:39:09,890 --> 00:39:17,100
+dot 2B equal هي 2B وهي ايه؟ 1 في 4
+
+457
+00:39:17,100 --> 00:39:23,840
+4 ناقص 2 في 6 سالب 12 و 3 في
+
+458
+00:39:23,840 --> 00:39:27,240
+سالب 4 سالب 12 سالب 12 سالب 12 سالب
+
+459
+00:39:27,240 --> 00:39:31,880
+24 زيادة 4 طلع سالب 20 نفس الجواب
+
+460
+00:39:31,880 --> 00:39:37,790
+نفس الجواب بالظبط طيب a ضد ال b كم طلعنا احنا وياكم
+
+461
+00:39:37,790 --> 00:39:46,910
+في المثال السابق طلعنا 10 بالسالب إذا 2A ضد
+
+462
+00:39:46,910 --> 00:39:51,270
+ال b برضه بتساوي سالب 20 اذا ال three options
+
+463
+00:39:51,270 --> 00:39:58,470
+give the same result أما تنزيل A ب 2 وبعدها تنزيل
+
+464
+00:39:58,470 --> 00:40:04,610
+النتيجة مع ال vector B أو تنزيل ال vector B ب 2 أولا و
+
+465
+00:40:04,610 --> 00:40:11,390
+بعدها تنزيل النتيجة مع ال vector A أو تنزيل A.B كنتيجة
+
+466
+00:40:11,390 --> 00:40:17,310
+عامة و النتيجة تنزل ب 2 كل هذه الثلاث اختيارات تعطي
+
+467
+00:40:17,310 --> 00:40:25,220
+نفس النتيجة تمام كما قلنا هنا قبل الـ two هنا في
+
+468
+00:40:25,220 --> 00:40:31,720
+خطأ مطبعي أن هذه المفروضة 2A A dot الـ B sorry
+
+469
+00:40:31,720 --> 00:40:41,190
+equal to A dot B B dot 2A they are all equal تمام
+
+470
+00:40:41,190 --> 00:40:48,670
+المحاضرة الجاية بنستكمل أنواع ال multiplication دل
+
+471
+00:40:48,670 --> 00:40:52,830
+عندي نوع و هو ال vector product وطبعا سمته vector
+
+472
+00:40:52,830 --> 00:40:58,350
+product عشان الناتج هيطلع معايا vector أحيانا و
+
+473
+00:40:58,350 --> 00:41:03,270
+أنا قاعد أضرب زي كمية .. خلّيني أقول الـ torque
+
+474
+00:41:03,270 --> 00:41:09,810
+قوة العزم اللي بنسميه عزم لما أضرب displacement ب
+
+475
+00:41:09,810 --> 00:41:14,430
+force بتطلع لي كمية تالتة لكن هذه الكمية هي vector
+
+476
+00:41:14,430 --> 00:41:19,890
+أيضاً فبالتالي لما أضرب two vectors و الناتج يطلع
+
+477
+00:41:19,890 --> 00:41:23,810
+عندي vector بسميه vector product أو مرات بسميه
+
+478
+00:41:23,810 --> 00:41:26,790
+cross product عشان أميزه عن ال scalar product
+
+479
+00:41:26,790 --> 00:41:31,710
+فالرمز اللى هنحط بينهم هيكون cross عشان كده مرات
+
+480
+00:41:31,710 --> 00:41:36,090
+بسميه cross product أو vector product هذا هيكون
+
+481
+00:41:36,090 --> 00:41:40,070
+موضوعنا في المحاضرة اللى جاية إن شاء الله و
+
+482
+00:41:40,070 --> 00:41:41,270
+يعطيكم العافية
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6aQJUT5jrOk_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6aQJUT5jrOk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..60b94668069e76a21c0009a17afd5fb5f5aa93ec
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6aQJUT5jrOk_postprocess.srt
@@ -0,0 +1,1928 @@
+1
+00:00:20,670 --> 00:00:27,270
+الله الرحمن الرحيم نستكمل chapter one في المحاضرة
+
+2
+00:00:27,270 --> 00:00:31,410
+السابقة أعرفنا الفرق ما بين ال vectors و ال
+
+3
+00:00:31,410 --> 00:00:37,710
+scalars ثم بطريقة هندسية أعرفنا كيف نتعامل
+
+4
+00:00:37,710 --> 00:00:42,610
+algebraically مع ال vectors كيف نجمحهم و كيف
+
+5
+00:00:42,610 --> 00:00:48,830
+نطلحهم الآن بدنا نحاول نمثل ال vectors بطريقة
+
+6
+00:00:48,830 --> 00:00:55,600
+جبريةبصورة أبسط من الطريقة الهندسية عشان نعمل هيك
+
+7
+00:00:55,600 --> 00:01:01,560
+بدنا نحكي الآن عن ال components of vectors حكينا
+
+8
+00:01:01,560 --> 00:01:09,260
+أن أي vector بال X Y planeممكن يكون انحلله او يكون
+
+9
+00:01:09,260 --> 00:01:14,940
+هو مجموع مركبتين زي ما انتوا شايفين في الرسمة انه
+
+10
+00:01:14,940 --> 00:01:20,600
+مجموع ال vector اللي موجود بالاتجاه الصيني زائد ال
+
+11
+00:01:20,600 --> 00:01:23,780
+vector اللي موجود بالاتجاه الصعبي هو نفسه ال
+
+12
+00:01:23,780 --> 00:01:41,490
+vector A بمعنى اخر ان ال vector Aبمعنى آخر
+
+13
+00:01:41,490 --> 00:01:45,150
+ممكن نكتب الـ vector A كـ addition between two
+
+14
+00:01:45,150 --> 00:01:51,110
+vectors ال vector الأول AXI و ال vector التاني AYJ
+
+15
+00:01:51,640 --> 00:01:55,860
+تمام و ال I و G هم ال unit vectors اللي اتفقنا
+
+16
+00:01:55,860 --> 00:02:02,540
+عليهم في المحاضرة السابقة الآن المركبات Ax و Ay
+
+17
+00:02:02,540 --> 00:02:07,700
+بنسميهم ال X component و ال Y component of the
+
+18
+00:02:07,700 --> 00:02:14,300
+vector Aالان كيف اجيب هدول ال components من الرسمة
+
+19
+00:02:14,300 --> 00:02:18,580
+واضح انه لو كان في عندى ال vector A بيعمل زاوية
+
+20
+00:02:18,580 --> 00:02:25,320
+مقدارها theta with the positive x axisويعرف أن
+
+21
+00:02:25,320 --> 00:02:32,860
+المركبة الصينية لأي مرحلة مرتبطة بمعنى
+
+22
+00:02:32,860 --> 00:02:39,460
+A نفسها بمعنى آخر بمعنى A المركبة الصينية المرتبطة
+
+23
+00:02:39,460 --> 00:02:39,820
+بمعنى A مرتبطة بمعنى A المركبة الصينية المرتبطة
+
+24
+00:02:39,820 --> 00:02:40,780
+الصينية المرتبطة بمعنى A المركبة الصينية المرتبطة
+
+25
+00:02:40,780 --> 00:02:42,500
+بمعنى A المركبة الصينية المرتبطة بمعنى A المركبة
+
+26
+00:02:42,500 --> 00:02:43,180
+الصينية المرتبطة بمعنى A المركبة الصينية المرتبطة
+
+27
+00:02:43,180 --> 00:02:45,460
+بمعنى A المركبة الصينية المرتبطة بمعنى A المركبة
+
+28
+00:02:45,460 --> 00:02:46,260
+الصينية المرتبطة بمعنى
+
+29
+00:02:51,030 --> 00:02:56,370
+بحيث إن الـ magnitude هو وطر المُثلث قائم الزاوية
+
+30
+00:02:56,370 --> 00:03:00,030
+اللي ضلعينه المُركّبة الصينية ومُركّبة الصينية
+
+31
+00:03:00,030 --> 00:03:04,370
+وبالتالي ال magnitude of any vector is given by
+
+32
+00:03:04,370 --> 00:03:10,370
+the equation the square root of ax2 plus ay2 تمام
+
+33
+00:03:10,370 --> 00:03:16,090
+إذا كانت الـ vector لديها جزء ثالث يمكننا أن نكتب
+
+34
+00:03:16,090 --> 00:03:24,790
+a equal axI plus AYG plus AZK وهنا الملكبة التالتة
+
+35
+00:03:24,790 --> 00:03:31,470
+is called the Z component of the vector A تماملازم
+
+36
+00:03:31,470 --> 00:03:37,250
+تكون واضح انه عشان ال vector يكون يساوي zero لازم
+
+37
+00:03:37,250 --> 00:03:41,670
+كل مركباته تساوي zero لأنه no way ان يكون انا عندي
+
+38
+00:03:41,670 --> 00:03:45,670
+هنا المقدار صفر وهي عندي هنا اي رقم موجود اذا هنا
+
+39
+00:03:45,670 --> 00:03:48,410
+في عندي رقم مستحيل يطلع ال magnitude zero وبالتالي
+
+40
+00:03:48,410 --> 00:03:52,890
+عشان ال magnitude يكون zero لازم كل المركبات تكون
+
+41
+00:03:52,890 --> 00:03:59,740
+zero خليناهنحل مثال مباشر على هذا الموضوع بيقول a
+
+42
+00:03:59,740 --> 00:04:04,580
+vector a lying in the xy plane يعني مافيش مركبة
+
+43
+00:04:04,580 --> 00:04:09,100
+تالتة it has only two components x component and y
+
+44
+00:04:09,100 --> 00:04:12,960
+component the magnitude of the vector is 50 units
+
+45
+00:04:12,960 --> 00:04:18,940
+and is directed at an angle of 120 degree to the
+
+46
+00:04:18,940 --> 00:04:23,070
+positive x axis يعني هذا هو ال vectorالـ Vector
+
+47
+00:04:23,070 --> 00:04:27,290
+بحسب ما هو واضح في الرسمة، مُعطَأ مُعطَأ مُعطَأ
+
+48
+00:04:27,290 --> 00:04:27,870
+مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ
+
+49
+00:04:27,870 --> 00:04:29,890
+مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ
+
+50
+00:04:29,890 --> 00:04:30,790
+مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ
+
+51
+00:04:30,790 --> 00:04:32,470
+مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ مُعطَأ
+
+52
+00:04:32,470 --> 00:04:36,790
+مُعطَأ مُعطَأ
+
+53
+00:04:36,790 --> 00:04:39,990
+مُعطَأ
+
+54
+00:04:39,990 --> 00:04:44,310
+مُع
+
+55
+00:04:44,870 --> 00:04:48,970
+طبعا واضح زي ما اتفقنا كون ال vector بيقع في ال x
+
+56
+00:04:48,970 --> 00:04:53,270
+y plane it has two components one along the x axis
+
+57
+00:04:53,270 --> 00:04:58,570
+and the other along the y axis along the x axis it
+
+58
+00:04:58,570 --> 00:05:02,610
+must be negative according to the figure so we can
+
+59
+00:05:02,610 --> 00:05:02,970
+write
+
+60
+00:05:05,760 --> 00:05:13,480
+ax="a cos θ and equal minus 25 units and ay="a sin
+
+61
+00:05:13,480 --> 00:05:21,740
+θ and done by calculator and the result is 43.3
+
+62
+00:05:21,740 --> 00:05:25,520
+units it is straightforward to find the components
+
+63
+00:05:25,520 --> 00:05:28,600
+of any vector if the magnitude is given and the
+
+64
+00:05:28,600 --> 00:05:36,290
+angle it makes with any axis is known تمامالان بعد
+
+65
+00:05:36,290 --> 00:05:40,110
+ما اعرفنا كيف نكتب ال vectors بدلالة ال unit
+
+66
+00:05:40,110 --> 00:05:45,170
+vectors بيصير سهل علينا كيف نتعامل مع ال vectors
+
+67
+00:05:45,170 --> 00:05:49,830
+بكل العمليات الحسابية تبعته بمعنى آخر الجمع،
+
+68
+00:05:49,830 --> 00:05:54,590
+الطرح، الضرب، كل هذه الأمور نبدأ كيف نجمع two
+
+69
+00:05:54,590 --> 00:05:58,970
+vectors لو كانوا مكتوبين بدلالة unit vectors
+
+70
+00:05:58,970 --> 00:06:04,030
+أبعتهم to add two vectors analytically مش هندسيا
+
+71
+00:06:05,070 --> 00:06:08,990
+ولا بدي أرسم ولا بدي بكار ولا بدي مانجلة فقط أعمل
+
+72
+00:06:08,990 --> 00:06:15,390
+عملية حسابية سهلة ومباشرة كيف نجعل نعمل؟ we must
+
+73
+00:06:15,390 --> 00:06:19,410
+proceed as follows بيقول ي resolve each vector
+
+74
+00:06:19,410 --> 00:06:22,650
+into its components according to a suitable
+
+75
+00:06:22,650 --> 00:06:27,130
+coordinate axis بمعنى آخر كل vector لازم أجيب
+
+76
+00:06:27,130 --> 00:06:31,290
+مركباته إذا ما أعطيني مركباته جاهزةOkay إذا
+
+77
+00:06:31,290 --> 00:06:35,490
+أعطانيها بدون مراكبات بأستطيع إن أنا أحلله إلى
+
+78
+00:06:35,490 --> 00:06:40,850
+مراكباته حسب ال axis اللي أنا باختارها اتنين بدي
+
+79
+00:06:40,850 --> 00:06:46,990
+أجمع جمع جبري add algebraically the x components
+
+80
+00:06:46,990 --> 00:06:50,650
+of the individual vectors to obtain the x
+
+81
+00:06:50,650 --> 00:06:53,810
+component of the resultant vector بجيب ال x
+
+82
+00:06:53,810 --> 00:06:57,190
+components بجمعهم مع بعض تعطيني ال x component of
+
+83
+00:06:57,190 --> 00:07:01,820
+the resultant vectorعمل نفس الشيء بالمقارنة الأخرى
+
+84
+00:07:01,820 --> 00:07:05,880
+بمعنى آخر لو كان عندي الـ vector A اللي يُكتب كما
+
+85
+00:07:05,880 --> 00:07:13,100
+اتفقنا بدلالته العامة AXI plus AYJ plus AZK and
+
+86
+00:07:13,100 --> 00:07:17,940
+another vector B written in the same formبإمكاننا
+
+87
+00:07:17,940 --> 00:07:23,500
+إضافة الانتجارين الاثنين لإعطاء الانتجار الوالد R
+
+88
+00:07:23,500 --> 00:07:29,160
+كما نفعل هنا بإضافة الانتجارين الاثنين X أكس بلس
+
+89
+00:07:29,160 --> 00:07:37,240
+بيكس I بإضافة الانتجار Y أي بلس بي Y و الانتجار Z
+
+90
+00:07:37,240 --> 00:07:43,910
+أي Z بلس بي Z يعنيبنجمع ال components المتناظرة مع
+
+91
+00:07:43,910 --> 00:07:46,890
+بعض ال X مع ال X و ال Y مع ال Y و ال Z مع Z
+
+92
+00:07:46,890 --> 00:07:51,430
+بيعطينا ال resultant vector اللي جديد بكل ال
+
+93
+00:07:51,430 --> 00:07:55,890
+components تبعته العملية كتير سهلة مجرد ال X
+
+94
+00:07:55,890 --> 00:07:58,530
+component مع ال X component و ال Y component مع ال
+
+95
+00:07:58,530 --> 00:08:01,610
+Y component و ال Z component مع ال Z component لل
+
+96
+00:08:01,610 --> 00:08:08,470
+vectors اللي بنجري عملية الجمع لهمالأن مثال سريع
+
+97
+00:08:08,470 --> 00:08:12,170
+على هذا الموضوع بيقول we have two vectors a equal
+
+98
+00:08:12,170 --> 00:08:19,330
+4i plus 3j and b equal minus 3i plus 7j each of
+
+99
+00:08:19,330 --> 00:08:23,350
+the two vectors have only two components x and y
+
+100
+00:08:23,350 --> 00:08:29,780
+componentsFind the resultant vector R equal A plus
+
+101
+00:08:29,780 --> 00:08:38,460
+B اتفقنا توي ان عملية الجمع بتتم باستخدام القاعدة
+
+102
+00:08:38,460 --> 00:08:42,320
+اللي حكيناها سابقا ان الـ X component تبعت ال
+
+103
+00:08:42,320 --> 00:08:45,800
+vector A بجمحها مع ال X component تبعت ال vector B
+
+104
+00:08:45,800 --> 00:08:49,580
+ال X component تبعت ال vector A هو 4 وال X
+
+105
+00:08:49,580 --> 00:08:57,790
+component تبعت ال B هو minus 3الـ4 مع الـ-3 نحن
+
+106
+00:08:57,790 --> 00:09:02,770
+نحصل على 1 أيضًا لكي نحصل على جزء Y من الوضع
+
+107
+00:09:02,770 --> 00:09:11,630
+الواضح نضيف جزء Y من A مع جزء Y من B وهو 3 plus 7
+
+108
+00:09:11,630 --> 00:09:17,530
+بمعنى آخرهؤلاء هم الاسماء التي تم إعطائها في
+
+109
+00:09:17,530 --> 00:09:25,690
+المشكلة ونكتب ار اكس بلس بيكس اي بلس اي بلس بي وي
+
+110
+00:09:25,690 --> 00:09:30,630
+جي تغيير لأكس اكس اكس اكس اكس اكس اكس اكس اكس اكس
+
+111
+00:09:30,630 --> 00:09:40,160
+اكس اكس اكس اكس اكسبـ I equals I plus 10J فهو
+
+112
+00:09:40,160 --> 00:09:46,700
+مثلًا طبيعي للغاية فقط إضافة أرقام جبرية سهلة جدًا
+
+113
+00:09:46,700 --> 00:09:50,240
+فقط X component with X component و Y component
+
+114
+00:09:50,240 --> 00:09:54,940
+with Y component لا يمكننا إضافة S component of
+
+115
+00:09:54,940 --> 00:10:03,360
+vector A مع أي مجموعة غير X componentمثلًا آخر،
+
+116
+00:10:03,360 --> 00:10:09,620
+الآن الوكتورات التي تمتلكها ليست مكتوبة بمعنى
+
+117
+00:10:09,620 --> 00:10:17,140
+الوكتورات الخاصةالمثال يقول إن جزء يتعامل بـ ..
+
+118
+00:10:17,140 --> 00:10:19,220
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+119
+00:10:19,220 --> 00:10:20,580
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+120
+00:10:20,580 --> 00:10:22,160
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+121
+00:10:22,160 --> 00:10:22,440
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+122
+00:10:22,440 --> 00:10:22,800
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+123
+00:10:22,800 --> 00:10:40,600
+جزء يتعامل بـ .. جزء يتعامل بـ .. جزء يتعامل بـ ..
+
+124
+00:10:40,600 --> 00:10:46,610
+جزء يتعاملالتي تقوم بتقرير المسافة بطريقة سنتمتار
+
+125
+00:10:46,610 --> 00:10:52,290
+D2 يقل 2I-J-3K سنتمتار
+
+126
+00:11:11,090 --> 00:11:16,810
+بنشوف الإزاحة الكلية للparticleعنده أجرة تلت
+
+127
+00:11:16,810 --> 00:11:22,330
+إذاحات متتالية ومُعطية إلنا بكل تفاصيلها بالـ D
+
+128
+00:11:22,330 --> 00:11:28,100
+المحصلة هي المحصلة جمعت تلت إذاحات المُعطية إليهفي
+
+129
+00:11:28,100 --> 00:11:31,020
+المثال السابق جمعنا two vectors، الآن نجمع three
+
+130
+00:11:31,020 --> 00:11:35,540
+vectors، القاعدة لا تختلف X component مع الأول، X
+
+131
+00:11:35,540 --> 00:11:38,760
+component مع التانية، X component مع التالتة
+
+132
+00:11:38,760 --> 00:11:43,000
+نجمعها مع بعض، Y component مع التانية، Y component
+
+133
+00:11:43,000 --> 00:11:47,640
+مع التالتة الأولى والتالتة، و هكذاالطريقة الموجودة
+
+134
+00:11:47,640 --> 00:11:51,280
+هي R اكتر من الوضع الوحيد الوحيد الوحيد الوحيد
+
+135
+00:11:51,280 --> 00:11:54,920
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+136
+00:11:54,920 --> 00:11:57,060
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+137
+00:11:57,060 --> 00:11:59,060
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+138
+00:11:59,060 --> 00:12:00,100
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+139
+00:12:00,100 --> 00:12:01,120
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+140
+00:12:01,120 --> 00:12:01,880
+الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد الوحيد
+
+141
+00:12:01,880 --> 00:12:10,140
+الوحيد الوحيد الوحيد الوحيد الوحيد
+
+142
+00:12:10,140 --> 00:12:12,180
+ال
+
+143
+00:12:16,490 --> 00:12:19,930
+تان عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+144
+00:12:19,930 --> 00:12:34,770
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+145
+00:12:34,970 --> 00:12:40,170
+another example a particle undergoes the following
+
+146
+00:12:40,170 --> 00:12:45,670
+consecutive displacement ايضا عندي جسيم بيعمل تلت
+
+147
+00:12:45,670 --> 00:12:52,470
+إزاحات متتالية الان بيعطينا إياها باتجاهات مختلفة
+
+148
+00:12:52,470 --> 00:12:58,570
+بيقول four point three meter south east الجنوب
+
+149
+00:12:58,570 --> 00:13:08,940
+الشرقيثم 2.4 متر إسطر ثم ماشي 2.24 متر باتجاه
+
+150
+00:13:08,940 --> 00:13:17,000
+الشرق و 5.2 متر باتجاه الشمال اجد المدينة و اتجاه
+
+151
+00:13:17,000 --> 00:13:20,420
+الـ resultant vector برضه بدي ال resultant vector
+
+152
+00:13:20,420 --> 00:13:25,200
+بدي المحصلةالمشكلة هنا الجديد أن الـ vectors
+
+153
+00:13:25,200 --> 00:13:28,360
+ماتدانيش إياهم بجالارة جاهزين بجالارة ال
+
+154
+00:13:28,360 --> 00:13:32,040
+components تبعتهم اتداني ال magnitude و اتداني
+
+155
+00:13:32,040 --> 00:13:37,240
+الزاوية اللي بيعملها ال vector مع أحد المحاور قال
+
+156
+00:13:37,240 --> 00:13:45,340
+لي ال first displacement is 4.3 متر southeast so
+
+157
+00:13:45,340 --> 00:13:52,770
+the angle it makes is 45 degreeهو بالضبط الشرق
+
+158
+00:13:52,770 --> 00:14:00,130
+الأوسط ثم التجهيز الثاني هو 2.4 متر مباشرة الشرق
+
+159
+00:14:00,130 --> 00:14:06,570
+الأوسط فهو عيونيا ثالث هو 5.2 متر مباشرة الشرق
+
+160
+00:14:06,570 --> 00:14:13,060
+الأعلىthe vector in blue الـ vector اللي باللون
+
+161
+00:14:13,060 --> 00:14:18,180
+الأزرق هو بيمثل المحصلة لأن محصلة ال displacement
+
+162
+00:14:18,180 --> 00:14:23,340
+وين كان وين صار كان بدأ من هنا في النهاية وصل هنا
+
+163
+00:14:23,340 --> 00:14:29,360
+فهذا هو محصلة ال displacement اللي عندي لكن كيف
+
+164
+00:14:29,360 --> 00:14:35,730
+أجيبها analytically بصورة جابرية سهلةيجب علينا أن
+
+165
+00:14:35,730 --> 00:14:40,670
+نعرف كل مجلد الانتقال في حسب مجلد المجلد المجلد
+
+166
+00:14:40,670 --> 00:14:41,410
+الوحيد
+
+167
+00:14:44,510 --> 00:14:51,570
+D1 لديه اتجارات اتجارات اتجارة D1 لديها اتجارات
+
+168
+00:14:51,570 --> 00:14:53,390
+اتجارة D1 لديها اتجارة D1 لديها اتجارة D1 لديها
+
+169
+00:14:53,390 --> 00:14:59,030
+اتجارة D1 لديها اتجارة D1 لديها اتجارة D1 لديها
+
+170
+00:14:59,030 --> 00:15:00,030
+اتجارة D1 لديها اتجارة D1 لديها اتجارة D1 لديها
+
+171
+00:15:00,030 --> 00:15:00,790
+اتجارة D1 لديها اتجارة D1 لديها اتجارة D1 لديها
+
+172
+00:15:00,790 --> 00:15:03,030
+اتجارة D1 لديها اتجارة D1 لديها اتجارة D1 لديها
+
+173
+00:15:03,030 --> 00:15:08,470
+اتجارة D1 لديها اتجاربنقول الـ three displacements
+
+174
+00:15:08,470 --> 00:15:16,790
+can be written as D1 equal 4.3 cosine 45 باتجاه I
+
+175
+00:15:16,790 --> 00:15:22,170
+والـ minus هنا عشان المركبة الصادية إلى الأسفل
+
+176
+00:15:22,450 --> 00:15:26,270
+المُركّبة إلى الأسفل فبدي أكون أنا مِلك بيه إنه
+
+177
+00:15:26,270 --> 00:15:29,730
+أنا عندي مُركّبة إلى الأسفل إذا بديش أحط السالب
+
+178
+00:15:29,730 --> 00:15:33,630
+بدي أخد الزاوية هذه كلها و بخلع عند السالب مباشرة
+
+179
+00:15:33,630 --> 00:15:40,130
+لكن و أنا قاعد بأحلل أنا بعرف إنه ال vector D1 is
+
+180
+00:15:40,130 --> 00:15:44,010
+the sum of two components one along the positive x
+
+181
+00:15:44,010 --> 00:15:50,000
+-axis and the other along the negative y-axisD1
+
+182
+00:15:50,000 --> 00:15:57,220
+مكتوب بالنسبة للمعاملات الوحيدة D2 لديها فقط
+
+183
+00:15:57,220 --> 00:16:02,340
+مراكبة واحدة وهي المراكبة الصينية مخدها 2.4 بحط
+
+184
+00:16:02,340 --> 00:16:08,100
+جنبها I للدلالة على اتجاه الشرق التالتة نفس الشيء
+
+185
+00:16:08,100 --> 00:16:13,880
+لها مراكبة واحدة ولكن صاضية فبحط 5.2 باتجاه الجهة
+
+186
+00:16:13,880 --> 00:16:18,710
+للدلالة على ان المراكبة إلى أعلى إلى الشمالهك ..
+
+187
+00:16:18,710 --> 00:16:23,350
+صار في عندي تلات .. displacement تلات vectors بدنا
+
+188
+00:16:23,350 --> 00:16:29,110
+نجمعهم بالظبط نرجع المثال كالمثال السابق عندي two
+
+189
+00:16:29,110 --> 00:16:35,590
+vectors بدهم جمع فبجمع ال X component مع ال X
+
+190
+00:16:35,590 --> 00:16:41,450
+component تمام اللي هي 3.04 مع 2.4 هنا مافيش X
+
+191
+00:16:41,450 --> 00:16:46,790
+component إذا plus 0الـ Y-components عندي minus 3
+
+192
+00:16:46,790 --> 00:16:55,730
+.04 هنا plus 0 plus 5.2 لو جينا كتبناهم هيطلع عندي
+
+193
+00:16:55,730 --> 00:17:04,950
+3.04 plus 2.4 plus 0بالنسبة لـ Y-3.04 و هي المركبة
+
+194
+00:17:04,950 --> 00:17:10,290
+الصادية لـ Vector D1 plus 0 لأنه مافيش عندي أي
+
+195
+00:17:10,290 --> 00:17:16,650
+مركبة صادية لـ Vector D2 أما الـ Vector D3 فعندي
+
+196
+00:17:16,650 --> 00:17:22,170
+المركبة الصادية له 5.2 الآن by calculator we
+
+197
+00:17:22,170 --> 00:17:31,260
+obtainالـ vector r هو 5.44i plus 2.16j لذلك مافيش
+
+198
+00:17:31,260 --> 00:17:35,180
+عنا حاجة جديدة مجرد جمع component و العملية كتير
+
+199
+00:17:35,180 --> 00:17:40,080
+أسهل ماإني أبدأ أجمع بشكل هندسي بدي أقيس ال
+
+200
+00:17:40,080 --> 00:17:44,260
+magnitude و بدي منقلة عشان أقيس الزاوية حاجة كله
+
+201
+00:17:44,260 --> 00:17:48,980
+شغلة مش عملية و بتاخد وقت مافيش إله داعي هذه
+
+202
+00:17:48,980 --> 00:17:53,900
+الطريقة كتير أحسن و أسرعمش كتير وبالتالي بصير
+
+203
+00:17:53,900 --> 00:17:58,460
+التعامل مع ال vectors سلس ومافيش اشكالية نتعامل
+
+204
+00:17:58,460 --> 00:18:03,010
+معاهاإذا أنا بدي أجيب الـ magnitude هذا أنا دي
+
+205
+00:18:03,010 --> 00:18:06,250
+vector بدي أجيب ال magnitude ما حنا تو اتعلمنا كيف
+
+206
+00:18:06,250 --> 00:18:09,070
+نجيب ال magnitude لأي vector أني أنا بجيب كل مركبة
+
+207
+00:18:09,070 --> 00:18:12,530
+مربحها بجمع الترميأة من المربعات و بعدين باخد ال
+
+208
+00:18:12,530 --> 00:18:15,650
+square root اللي أصلها من قاعدة Pythagoras زي ما
+
+209
+00:18:15,650 --> 00:18:20,090
+اتفقنا بالتالي بطبق هذه القاعدة بقول the magnitude
+
+210
+00:18:20,090 --> 00:18:27,480
+of R is R X square plus R Y square5.44square plus
+
+211
+00:18:27,480 --> 00:18:34,820
+2.6k square and we get by calculator 5.85 meter
+
+212
+00:18:34,820 --> 00:18:40,200
+تمام ال direction طبعا ال directionأحنا متفقين أن
+
+213
+00:18:40,200 --> 00:18:42,860
+كل vector له magnitude و direction كيف أجيب ال
+
+214
+00:18:42,860 --> 00:18:46,060
+direction ال direction لما يقول find the direction
+
+215
+00:18:46,060 --> 00:18:49,320
+of any vector يعني بده الزاوية اللي بيعملها مع
+
+216
+00:18:49,320 --> 00:18:53,960
+axis معروف وثابت كوني أنا حددت الزاوية هذا بيقول
+
+217
+00:18:53,960 --> 00:18:57,020
+أنه أنا عرفت وين ال direction تبعها لو أنا قلت
+
+218
+00:18:57,020 --> 00:19:00,660
+والله بيعمل زاوية عشرين درجة مع ال x axis خلاص هذا
+
+219
+00:19:00,660 --> 00:19:04,600
+بيكون أعطاني جواب الكامل ل direction of any vector
+
+220
+00:19:04,600 --> 00:19:08,660
+إذا to find the direction of a vectorIt is enough
+
+221
+00:19:08,660 --> 00:19:13,300
+to determine the angle the vector makes with a
+
+222
+00:19:13,300 --> 00:19:17,520
+specific axis اي axis The angle θ makes with the x
+
+223
+00:19:17,520 --> 00:19:22,740
+-axis is احنا الآن بدنا ازاوية θ ازاوية θ زي ما هي
+
+224
+00:19:22,740 --> 00:19:30,600
+واضحة بالرسمةهي عبارة عن 10 inverse of the y
+
+225
+00:19:30,600 --> 00:19:34,660
+components over the x components، it is clear from
+
+226
+00:19:34,660 --> 00:19:39,680
+the figure here، so we write θ equal to 10 inverse
+
+227
+00:19:39,680 --> 00:19:44,440
+of Ry على Rx، وبيعطيني by calculations 21
+
+228
+00:19:44,440 --> 00:19:52,430
+.approximately 7 degreeالجهة التي تعطي اتجارة
+
+229
+00:19:52,430 --> 00:19:54,950
+محدودة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+230
+00:19:54,950 --> 00:19:55,890
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+231
+00:19:55,890 --> 00:20:00,370
+نتيجة
+
+232
+00:20:00,370 --> 00:20:01,550
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+233
+00:20:01,550 --> 00:20:04,430
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+234
+00:20:04,430 --> 00:20:15,170
+نتيجة نتيجة نتيجة نتيج
+
+235
+00:20:15,770 --> 00:20:24,790
+A Plus P Equals 5I 5I فالنتيجة الوحيدة الموجودة في
+
+236
+00:20:24,790 --> 00:20:32,450
+الوقت الحالي ونحتاج الوحيدة A التي اضافت مع وحيدة
+
+237
+00:20:32,450 --> 00:20:38,730
+B التي موجودة في الوقت الحالي فالنتيجة هي 5I ماذا
+
+238
+00:20:38,730 --> 00:20:41,850
+نستطيع أن نقول من المعلومات الموجودة في الوقت
+
+239
+00:20:41,850 --> 00:20:43,690
+الحالي نختم ذلك
+
+240
+00:20:45,540 --> 00:20:53,540
+المجلد الـ X لـ A المجلد الـ X لـ B المجلد الـ X
+
+241
+00:20:53,540 --> 00:21:00,940
+لـ Y المجلد الـ Y المجلد الـ Y المجلد الـ Y المجلد
+
+242
+00:21:00,940 --> 00:21:03,080
+الـ Y المجلد الـ B المجلد الـ B المجلد الـ Y
+
+243
+00:21:03,080 --> 00:21:04,880
+المجلد الـ Y المجلد الـ B المجلد الـ B المجلد الـ
+
+244
+00:21:04,880 --> 00:21:06,340
+المجلد الـ Y المجلد الـ Y المجلد الـ Y المجلد الـ
+
+245
+00:21:06,340 --> 00:21:08,460
+Y المجلد الـ Y المجلد الـ Y المجلد الـ Y المجلد
+
+246
+00:21:08,460 --> 00:21:13,220
+الـ Y المجلد الـ Y
+
+247
+00:21:13,220 --> 00:21:19,080
+المجلد الax plus bx equal five and ay plus by
+
+248
+00:21:19,080 --> 00:21:25,780
+equal to zero so we have two equations and we can
+
+249
+00:21:25,780 --> 00:21:31,320
+solve easily to write after substituting for bx
+
+250
+00:21:31,320 --> 00:21:38,240
+and by ax equal five minus bx and gives one and a
+
+251
+00:21:38,240 --> 00:21:49,880
+so ayأسف هنا لدينا ay اكتر من by لأن by اكتر من 3
+
+252
+00:21:49,880 --> 00:21:55,640
+هنا لذلك يجب أن يكون هذا اقل من 3 لأن y اكتر من 3
+
+253
+00:21:55,640 --> 00:22:01,880
+لذلك هنا هنا لدينا شيء غير صحيح لذلك هذا يكتر من i
+
+254
+00:22:01,880 --> 00:22:09,740
+اكتر من 3jوهذا هو النتيجة الصحيحة إذا تم إعطاء
+
+255
+00:22:09,740 --> 00:22:12,720
+نتائج نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+256
+00:22:12,720 --> 00:22:14,260
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+257
+00:22:14,260 --> 00:22:15,020
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+258
+00:22:15,020 --> 00:22:19,600
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+259
+00:22:19,600 --> 00:22:22,820
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+260
+00:22:22,820 --> 00:22:29,540
+نتيجة نتيجة نتيجة نتيجة
+
+261
+00:22:31,260 --> 00:22:38,720
+بإضافة مجموعات متشابهة أو المجموعات المتشابهة، فهو
+
+262
+00:22:38,720 --> 00:22:45,100
+أسهل للكتابة وأسهل للتخطيط كيف نستطيع أن نصنع
+
+263
+00:22:45,100 --> 00:22:54,900
+اتجارتين؟ لدينا ثلاث مجموعاتVectors The first type
+
+264
+00:22:54,900 --> 00:22:58,400
+is multiplying a vector by a scalar كتير من
+
+265
+00:22:58,400 --> 00:23:03,780
+المعادلات الفيزيائية اللي هتمر علينا بيقولي vector
+
+266
+00:23:03,780 --> 00:23:08,100
+مطلوب ب scalar مثلا القانون اللي هنعرفه قانون الـ
+
+267
+00:23:08,100 --> 00:23:15,150
+Neutral التاني المشهور F equal M A عندي معادلةA
+
+268
+00:23:15,150 --> 00:23:21,890
+أكسليراتيشن هي كتابة مرتبطة بكتابة كبيرة وهي كتابة
+
+269
+00:23:21,890 --> 00:23:25,570
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+270
+00:23:25,570 --> 00:23:28,770
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+271
+00:23:28,770 --> 00:23:28,830
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+272
+00:23:28,830 --> 00:23:28,930
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+273
+00:23:28,930 --> 00:23:30,250
+مرتبطة بالكتابة مرتبطة بالكتابة مرتبطة بالكتابة
+
+274
+00:23:30,250 --> 00:23:36,470
+مرتبطة
+
+275
+00:23:36,470 --> 00:23:42,690
+بالكتابةهنا مرة أخرى، مرتبطنا الوثيقة التي هي
+
+276
+00:23:42,690 --> 00:23:48,450
+التسلسل بوقت ووقتها مرتبط بوقت مرتبط بوقت مرتبط
+
+277
+00:23:48,450 --> 00:23:48,770
+مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط
+
+278
+00:23:48,770 --> 00:23:50,670
+بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت
+
+279
+00:23:50,670 --> 00:23:52,510
+مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط
+
+280
+00:23:52,510 --> 00:23:59,490
+بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت مرتبط بوقت
+
+281
+00:23:59,490 --> 00:24:06,150
+مرتبط بوقت مرتبط بوقت مرتبهنا نرى if λمضى is a
+
+282
+00:24:06,150 --> 00:24:11,690
+scalar, any arbitrary scalar, مثل الوقت، الهجوم،
+
+283
+00:24:11,690 --> 00:24:17,490
+أي عدد كبير أو عدد كبير أو عدد كبير في الجسم، and
+
+284
+00:24:17,490 --> 00:24:23,570
+E is a vector، فرصة، تسلسل، سرعة، ممينطة وكذلك
+
+285
+00:24:25,120 --> 00:24:31,180
+الوكتورة لماده مرتبطة بالـ a ما فعلناه هنا لماده
+
+286
+00:24:31,180 --> 00:24:37,560
+مرتبطة بكل جزء من الوكتورة لماده مرتبطة بالجزء X
+
+287
+00:24:37,560 --> 00:24:45,280
+من الوكتورة A مرتبطة بجزء Y من الوكتورة A ومرتبطة
+
+288
+00:24:45,280 --> 00:24:49,260
+مرة أخرى بجزء
+
+289
+00:24:49,260 --> 00:24:56,190
+Z من الوكتورةأيه؟ لذلك من الاضحى الآن أن الاتجاه
+
+290
+00:24:56,190 --> 00:25:02,070
+لـ Lambda A هو نفس الاتجاه لدرجة A إذا كان Lambda
+
+291
+00:25:02,070 --> 00:25:08,490
+أفضل ولكن إذا كانت نيجاتيف، فالاتجاه هو عكس اتجاه
+
+292
+00:25:08,490 --> 00:25:15,730
+الدرجة A نفسها لذلك إذا Lambda أفضل وعكس A إذا كان
+
+293
+00:25:15,730 --> 00:25:22,520
+Lambda نيجاتيفالنوع الآخر لـ product of two
+
+294
+00:25:22,520 --> 00:25:27,960
+vectors هو الـ scalar product بعض الأحيان نسميها
+
+295
+00:25:27,960 --> 00:25:35,280
+dot product نرجع لماذا نسمي الأسماء .. و نرجع
+
+296
+00:25:35,280 --> 00:25:39,420
+للمثال اللي دائما بنكرره لكل مسمى من اسمه نصيب ليش
+
+297
+00:25:39,420 --> 00:25:44,400
+سميناه scalar product؟ عشان الناتج scalarليه
+
+298
+00:25:44,400 --> 00:25:47,860
+سميناه dot product؟ عشان بين ال two vectors بنحط
+
+299
+00:25:47,860 --> 00:25:53,100
+dot وبالتالي the scalar product of two vectors a
+
+300
+00:25:53,100 --> 00:25:58,880
+and b denoted by a dot b عشان كده بنسميه dot
+
+301
+00:25:58,880 --> 00:26:02,940
+product عشان هذه ال dot الإشارة اللي بنحطها بين ال
+
+302
+00:26:02,940 --> 00:26:07,220
+two vectors هي dot هذا هو ال scalar product is a
+
+303
+00:26:07,220 --> 00:26:13,500
+scalar quantity الناتج أيش؟ scalarسنبنى scalar
+
+304
+00:26:13,500 --> 00:26:17,500
+product عشان اتضالها مرسومة عندنا سميت scalar
+
+305
+00:26:17,500 --> 00:26:22,660
+product عشان مستحيل ا drop two vectors scalar
+
+306
+00:26:22,660 --> 00:26:26,940
+product ويطلع عندى vector لازم يطلع عندى scalar زى
+
+307
+00:26:26,940 --> 00:26:35,440
+لما نقول F.SS is a force S is a displacement there
+
+308
+00:26:35,440 --> 00:26:40,800
+are two vectors انضربوا الناتج work ال work is a
+
+309
+00:26:40,800 --> 00:26:45,400
+scalar وبالتالي انا عندى two vectors ضربتهم scalar
+
+310
+00:26:45,400 --> 00:26:50,120
+product طلعلي كمية فيزيائية scalar هذا هو ال
+
+311
+00:26:50,120 --> 00:26:53,700
+scalar product اكتر من المعادلات اللى هتمر علينا
+
+312
+00:26:53,700 --> 00:26:57,870
+في الفيزيا في الشباترالتالية وحتى في المثقات
+
+313
+00:26:57,870 --> 00:27:00,970
+التالية بيكون عندي two vectors انضربوا مع بعض
+
+314
+00:27:00,970 --> 00:27:07,030
+طلعلي كمية تالتة بتكون scalar هذا بنسميه ناتج من
+
+315
+00:27:07,030 --> 00:27:11,590
+scalar product of two vectors كيف التعريف تبعها
+
+316
+00:27:11,590 --> 00:27:18,710
+بيقول A ضد B بيسوء مجموعة A في مجموعة B في cosine
+
+317
+00:27:18,710 --> 00:27:20,530
+الزاوية اللي بينهم
+
+318
+00:27:24,800 --> 00:27:27,740
+فيتا هي أقصى مقارنة بين الاثنين الوكترين فتا هي
+
+319
+00:27:27,740 --> 00:27:33,680
+أقصى
+
+320
+00:27:33,680 --> 00:27:39,380
+مقارنة بين الاثنين الوكترين ثم نعود إلى الوكترين
+
+321
+00:27:39,380 --> 00:27:46,330
+الوحدة التي نعرفها عليهمكل vector مرتبط بaxes معين
+
+322
+00:27:46,330 --> 00:27:50,770
+الشغل اللي عارفينها ان I مرتبط بال X J مرتبط بال Y
+
+323
+00:27:50,770 --> 00:27:55,130
+و K مرتبط بال Z كون ال X و ال Y و ال Z are
+
+324
+00:27:55,130 --> 00:27:59,070
+perpendicular to each other يعني الزاوية بين كل
+
+325
+00:27:59,070 --> 00:28:03,820
+واحد منهم و أخوه 90 درجةالزاوية بين I و J هو 90،
+
+326
+00:28:03,820 --> 00:28:08,600
+بين I و K هو 90، بين J و K هو 90، يعني الزاوية بين
+
+327
+00:28:08,600 --> 00:28:13,680
+two vectors is known and equal to pi over two. So
+
+328
+00:28:13,680 --> 00:28:20,100
+I dot I equal I dot K equal K dot J equal cosine
+
+329
+00:28:21,730 --> 00:28:26,710
+التسعين وكساين التسعين هو زيرو وبالتالي الـ dot
+
+330
+00:28:26,710 --> 00:28:29,810
+product between any two unit vectors perpendicular
+
+331
+00:28:29,810 --> 00:28:36,810
+to each other gives zero طيب إيش هو ال I ضد I بسوء
+
+332
+00:28:36,810 --> 00:28:40,710
+مجموعة I هي واحد في مجموعة I الثانية في واحد واحد
+
+333
+00:28:40,710 --> 00:28:43,890
+في واحد واحد في كساين الزاوية بين I و I زيرو
+
+334
+00:28:43,890 --> 00:28:48,690
+الزاوية بين أي vector وأخو أو نفسهقصان الـ 0 هو 1
+
+335
+00:28:48,690 --> 00:28:59,130
+بالتالي I ضبط I هو 1 J ضبط J هو 1 K ضبط K هو 1 طيب
+
+336
+00:28:59,130 --> 00:29:04,630
+ندرب الـ two vectors as a scalar product و نكتب
+
+337
+00:29:04,630 --> 00:29:09,670
+الـ two vectors بهذه الصيغة يلا نضربأنا باكتب الـA
+
+338
+00:29:09,670 --> 00:29:13,690
+و باكتب الـB وعنده dot product بينهم أنا بدي أضرب
+
+339
+00:29:13,690 --> 00:29:18,530
+جوس بجوس كنا بنعرف كيف نضرب جوس بجوس اتعلمناها من
+
+340
+00:29:18,530 --> 00:29:23,290
+بداية المرحلة الإعدادية بروح و أضرب AX بالتلت
+
+341
+00:29:23,290 --> 00:29:27,590
+termات في الجوس التاني بس بدي أنتباه أنه في عنده
+
+342
+00:29:27,590 --> 00:29:32,190
+dot product بين I و I و I و J و I و K و هكذا ال
+
+343
+00:29:32,190 --> 00:29:37,820
+term التاني و هكذا ال term التالت نيجي نضرب ضربتAX
+
+344
+00:29:37,820 --> 00:29:54,580
+BX I GOT IAXBY I J AXBZ I K AYBX J I AYBY J J AYBZ
+
+345
+00:29:54,580 --> 00:30:11,300
+J K AYBX K I AYBY K J AYBZ K Kهنا ايش بيقولي I.J0
+
+346
+00:30:11,300 --> 00:30:24,380
+I.K0 K.J0 اما I.I1 J.J1 و K.K1 انطبق بصير I.J0 I
+
+347
+00:30:24,380 --> 00:30:36,500
+.K0 J.I او I.J1J.J دلّك J.K زيرو K.I أيضا زيرو و K
+
+348
+00:30:36,500 --> 00:30:42,320
+.J زيرو إيش بيتبقى عندي كان عندي تسع حدود أصفيت
+
+349
+00:30:42,320 --> 00:30:51,950
+على تلاتةI.I بيسوي واحد J.J بيسوي واحد K.K بيسوي
+
+350
+00:30:51,950 --> 00:30:57,770
+واحد إذا النتيجة هدا واحد و هدا واحد و هدا واحد
+
+351
+00:30:57,770 --> 00:31:03,870
+طيب صفي و أكتب النتيجة طلعت هيك نتيجة حلوة جدا إيش
+
+352
+00:31:03,870 --> 00:31:08,090
+بتقول إنه عشان أضرب scalar product between vectors
+
+353
+00:31:08,090 --> 00:31:12,830
+أضرب ال X component تبع A with the Y component of
+
+354
+00:31:12,830 --> 00:31:17,690
+Bwith the X component of B sorry ال Y component of
+
+355
+00:31:17,690 --> 00:31:21,390
+A with the Y component of B and the Z component of
+
+356
+00:31:21,390 --> 00:31:24,810
+A with the Z component of B يعني بدرب المركبات
+
+357
+00:31:24,810 --> 00:31:27,830
+السمية مع بعض و المركبات الصغية مع بعض و المركبات
+
+358
+00:31:27,830 --> 00:31:31,750
+العينية مع بعض زي ما عملت في الجامعة كنت أجمع كل
+
+359
+00:31:31,750 --> 00:31:36,450
+المركبات متشابهة مع بعض في ال scalar product أيضا
+
+360
+00:31:36,450 --> 00:31:40,440
+بدرب كل المركبات مع بعض لكن إيش الفرق؟إن هنا لا في
+
+361
+00:31:40,440 --> 00:31:45,900
+عندي I ولا في عندي J ولا في عندي K إيه بيعني؟ إن
+
+362
+00:31:45,900 --> 00:31:50,180
+النتيجة Scalar لو هذه تلاتة و هذه أربعة و هذه
+
+363
+00:31:50,180 --> 00:31:53,600
+اتنين تلاتة و أربعة سبعة و اتنين تسعة فالنتيجة
+
+364
+00:31:53,600 --> 00:32:00,000
+تسعة مافيش لا I ولا J ولا K بيطلع عندي رقم Scalar
+
+365
+00:32:00,000 --> 00:32:06,720
+Quantity تمام خلّينا نحلمبقول لي if the vector a
+
+366
+00:32:06,720 --> 00:32:11,120
+is given with its component clear from the
+
+367
+00:32:11,120 --> 00:32:16,180
+equation and b also is given with its component as
+
+368
+00:32:16,180 --> 00:32:21,700
+shown now find the angle between the two vectors a
+
+369
+00:32:21,700 --> 00:32:27,240
+and b he wants the angle between the two vectors
+
+370
+00:32:27,240 --> 00:32:32,740
+which equationsمن أي مقارنة من المقارنة التي تم
+
+371
+00:32:32,740 --> 00:32:36,720
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+372
+00:32:36,720 --> 00:32:37,460
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+373
+00:32:37,460 --> 00:32:37,680
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+374
+00:32:37,680 --> 00:32:39,400
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+375
+00:32:39,400 --> 00:32:40,860
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+376
+00:32:40,860 --> 00:32:43,600
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+377
+00:32:43,600 --> 00:32:48,800
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+378
+00:32:48,800 --> 00:32:54,400
+إعطائها يستطيع أن يجد المقارنة من المقارنة التي تم
+
+379
+00:32:54,400 --> 00:32:58,600
+إ
+
+380
+00:33:00,670 --> 00:33:06,590
+الجزء يمكن أن يتم إيجاده بدون أي صعوبة، لذلك
+
+381
+00:33:06,590 --> 00:33:14,430
+مجموعه A ومجموعه B يمكننا أن نجدها، ما هو A ضد B،
+
+382
+00:33:14,430 --> 00:33:17,470
+بسهولة التخطيط، دعنا نتابع
+
+383
+00:33:20,260 --> 00:33:26,840
+المقارنة اللي سنستخدمها هي a ضغط b equal a في b في
+
+384
+00:33:26,840 --> 00:33:32,720
+الـ cosine الزاوية الـ cosine فيكا equal a ضغط b
+
+385
+00:33:32,720 --> 00:33:36,360
+over a كمجموعة في b كمجموعة
+
+386
+00:33:38,990 --> 00:33:43,530
+The dot product between A and B البسط في المعادلة
+
+387
+00:33:43,530 --> 00:33:47,590
+بطبخ القانون بأضرب المراكبات الصينية مع بعض
+
+388
+00:33:47,590 --> 00:33:50,790
+المراكبات الصينية مع بعض و المراكبات العينية مع
+
+389
+00:33:50,790 --> 00:33:55,030
+بعض فطلع عندي المراكبة الصينية لل vector A1 و
+
+390
+00:33:55,030 --> 00:33:59,650
+المراكبة الصينية لل vector B2 1 2 2المُركّبة
+
+391
+00:33:59,650 --> 00:34:03,890
+الصادية للـ vector A سالب اتنين والمركبة الصادية
+
+392
+00:34:03,890 --> 00:34:09,170
+تلاتة سالب اتنين في تلاتة سالب ستة المُركّبة ال Z
+
+393
+00:34:09,170 --> 00:34:12,890
+component of A is three the Z component of B is
+
+394
+00:34:12,890 --> 00:34:15,830
+minus two three multiplied by minus two is minus
+
+395
+00:34:15,830 --> 00:34:23,100
+six now two plus minus six minus six it is minus10
+
+396
+00:34:23,100 --> 00:34:27,860
+الغلط اللي دايما بيجعوا فيه الطلاب إنه بينسوا
+
+397
+00:34:27,860 --> 00:34:32,060
+بيحطوا هنا I و بيحطوا هنا J و بيحطوا هنا K وهذا
+
+398
+00:34:32,060 --> 00:34:35,840
+خطأ كبير مش المفروض الطالب بيجع فيه لإنه مافيش
+
+399
+00:34:35,840 --> 00:34:40,820
+عندي I ولا في عندي J ولا في عندي K وإلا بطل اسمه
+
+400
+00:34:40,820 --> 00:34:44,320
+scalar product بصير الناتج vector و احنا اتفقنا
+
+401
+00:34:44,320 --> 00:34:49,140
+سميناه scalar product ليش؟عشان الناتج scalar ولو
+
+402
+00:34:49,140 --> 00:34:53,940
+حطيت I وG وK معناته هذا vector مش scalar وبالتالي
+
+403
+00:34:53,940 --> 00:34:57,960
+هذا الخطأ لازم ينبهي له وهذا الخطأ لا يختفر لطالب
+
+404
+00:34:57,960 --> 00:35:05,280
+في جامعة بتعامل مع vectors ومسمي الطالب scalar
+
+405
+00:35:05,280 --> 00:35:11,620
+product عشان الناتجلازم يكون scalar اذا انا لما
+
+406
+00:35:11,620 --> 00:35:15,100
+اسم الشغلة اقول والله هذه بيضا وهي لونها أسود
+
+407
+00:35:15,100 --> 00:35:20,240
+مابينفعش لكل مسمى من اسمه نصيب scalar product لازم
+
+408
+00:35:20,240 --> 00:35:23,820
+نكبه الناتج تبعنا يكون scalar اذا طلع معي vector
+
+409
+00:35:23,820 --> 00:35:27,600
+لازم اقف و اقول في خطأ معين أستجركه على طول
+
+410
+00:35:27,600 --> 00:35:34,430
+وماضليش بصير عليه او اعتمده وهو بهذا الخطأالـ
+
+411
+00:35:34,430 --> 00:35:37,290
+magnitude تبع أي vector سهل نتعامل معاه، زي ما
+
+412
+00:35:37,290 --> 00:35:41,090
+اتفقنا، بربيع المركبة الصينية، بربيع المركبة
+
+413
+00:35:41,090 --> 00:35:45,570
+الصادية، بربيع المركبة العينية، بجمعهم، و باخد ال
+
+414
+00:35:45,570 --> 00:35:48,910
+square root. So, the magnitude of the vector A،
+
+415
+00:35:48,910 --> 00:35:52,930
+تربيع الواحد واحد، تربيع السلب اتنين اربعة، وتربيع
+
+416
+00:35:52,930 --> 00:35:56,610
+التلاتة تسعة، واحد وتسعة عشرة، و هنا اربعة، جزر
+
+417
+00:35:56,610 --> 00:36:01,940
+الاربعتعش،طلعت 3.74 نفس العملية لل B تربيع التنين
+
+418
+00:36:01,940 --> 00:36:06,040
+أربعة تربيع التلاتة تسعة وتربيع السلب تنين أربعة
+
+419
+00:36:06,040 --> 00:36:12,630
+فطلعت 4.12في هذه المعادلة الآن a dot بي العرفت ايه
+
+420
+00:36:12,630 --> 00:36:15,990
+العرفت و بي العرفت بقدر اجيب الزاوية theta و هي
+
+421
+00:36:15,990 --> 00:36:18,810
+المطلوبة في السؤال فصارت cosine of theta بسوء
+
+422
+00:36:18,810 --> 00:36:22,030
+minus 10 و هي a dot بي على magnitude of a في
+
+423
+00:36:22,030 --> 00:36:27,190
+magnitude of بي طلعنا الزاوية 104 و 30 درجة
+
+424
+00:36:27,190 --> 00:36:30,770
+فالعملية كتير سهلة
+
+425
+00:36:33,980 --> 00:36:37,840
+العنوان التالت هو اعتبار الانتجارين المجلدية في
+
+426
+00:36:37,840 --> 00:36:43,200
+الانتجار السابق يتعلق بالانتجارين المجلدية في
+
+427
+00:36:43,200 --> 00:36:45,080
+الانتجار 1.7
+
+428
+00:36:48,940 --> 00:36:54,820
+هو يريد 2a.b لذلك نكتب دعنا نكتب مرة أخرى الاسم
+
+429
+00:36:54,820 --> 00:36:57,740
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+430
+00:36:57,740 --> 00:36:57,940
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+431
+00:36:57,940 --> 00:37:01,420
+الاسم الاسم
+
+432
+00:37:01,420 --> 00:37:06,580
+الاسم الاسم الاسم الاسم
+
+433
+00:37:06,580 --> 00:37:11,680
+الاسم
+
+434
+00:37:11,680 --> 00:37:19,410
+الاسم الأولاً إيجاد 2A ثم مرتبطه بـB أو إيجاد 2B
+
+435
+00:37:19,410 --> 00:37:26,710
+ثم مرتبطه بـA أو إيجاد A.B ثم مرتبطه ب2 دعنا نأخذ
+
+436
+00:37:26,710 --> 00:37:34,300
+الأفعال الأولى دعنا نرتبط 2Ealone and then
+
+437
+00:37:34,300 --> 00:37:38,060
+multiply it as a scalar product with the vector b
+
+438
+00:37:38,060 --> 00:37:43,540
+to a here we multiplied a scalar by a vector
+
+439
+00:37:43,540 --> 00:37:49,500
+التنين scalar و a is a vector و زي ما كنا نحكي أنه
+
+440
+00:37:49,500 --> 00:37:53,320
+لما أضرب scalar في vector ال scalar بدي يدخل على
+
+441
+00:37:53,320 --> 00:37:58,160
+كل المركبات كل المركبات التلاتة بدهم يضربوا
+
+442
+00:37:58,160 --> 00:38:05,760
+بالاتنين اللي هو ال scalarA 2 في 1 2 سالب 2 في 2
+
+443
+00:38:05,760 --> 00:38:10,680
+سالب 4 ثلاثة في اتنين موجة بستة إذا هذا هو ال
+
+444
+00:38:10,680 --> 00:38:14,960
+vector to A هذا ال vector الآن بدي أضربه مع ال
+
+445
+00:38:14,960 --> 00:38:19,860
+vector B as a scalar product so the x components
+
+446
+00:38:19,860 --> 00:38:25,410
+are multiplied by each otherالـ y component are
+
+447
+00:38:25,410 --> 00:38:29,330
+multiplied by each other and the z component are
+
+448
+00:38:29,330 --> 00:38:34,670
+multiplied by each other to get two مضروبة بتو
+
+449
+00:38:34,670 --> 00:38:40,290
+أربعة minus four مضروبة بتلاتة minus twelve ستة
+
+450
+00:38:40,290 --> 00:38:44,090
+مضروبة ب minus two minus twelve فالجواب minus
+
+451
+00:38:44,090 --> 00:38:50,490
+عشرينطبعا as we said here if one multiply the
+
+452
+00:38:50,490 --> 00:38:56,570
+product a dot b by two or multiply a dot 2b we get
+
+453
+00:38:56,570 --> 00:39:00,430
+the same result يعني لو جيت انا بدأ اضرب اتنين بي
+
+454
+00:39:00,430 --> 00:39:05,170
+ايش بتساوي اتنين في اتنين اربعة I plus تلاتة في
+
+455
+00:39:05,170 --> 00:39:09,890
+اتنين ستة J minus اربعة K هذه هي اتنين بي اضرب a
+
+456
+00:39:09,890 --> 00:39:17,100
+dot اتنين bequal هي 2P وهي ايه؟ واحد في اربعة
+
+457
+00:39:17,100 --> 00:39:23,840
+اربعة ناسلب اتنين في ستة سالب اتناش و تلاتة في
+
+458
+00:39:23,840 --> 00:39:27,240
+سالب اربعة سالب اتناش سالب اتناش سالب اتناش سالب
+
+459
+00:39:27,240 --> 00:39:31,880
+اربعة عشرين زياد اربعة طلع سالب عشرين نفس الجواب
+
+460
+00:39:31,880 --> 00:39:37,790
+نفس الجواب بالظبططب a ضد ال b كم طلعنا احنا وياكم
+
+461
+00:39:37,790 --> 00:39:46,910
+في المثال السابق طلعنا عشرة بالسالب اذا اتنين a ضد
+
+462
+00:39:46,910 --> 00:39:51,270
+ال b برضه بساوي سالب عشرين اذا ال three options
+
+463
+00:39:51,270 --> 00:39:58,470
+give the same resultأما تنزيل A ب2 و بعدها تنزيل
+
+464
+00:39:58,470 --> 00:40:04,610
+النتيجة مع الوكتر B أو تنزيل الوكتر B ب2 أولا و
+
+465
+00:40:04,610 --> 00:40:11,390
+بعدها تنزيل النتيجة مع الوكتر A أو تنزيل A.B كنتجة
+
+466
+00:40:11,390 --> 00:40:17,310
+عامة و النتيجة تنزل ب2 كل هذه الثلاث اختيارات تعطي
+
+467
+00:40:17,310 --> 00:40:25,220
+نفس النتيجة تمامكما قلنا هنا قبل الـ two هنا في
+
+468
+00:40:25,220 --> 00:40:31,720
+خطأ مطبعي ان هذه المفروضة two a a dot ال b sorry
+
+469
+00:40:31,720 --> 00:40:41,190
+equal to a dot b b dot e a they are all equalتمام
+
+470
+00:40:41,190 --> 00:40:48,670
+المحاضرة الجاية بنستكمل أنواع ال multiplication دل
+
+471
+00:40:48,670 --> 00:40:52,830
+عندي نوع و هو ال vector product و طبعا سمته vector
+
+472
+00:40:52,830 --> 00:40:58,350
+product عشان الناتج هيطلع معايا vectorأحياناً و
+
+473
+00:40:58,350 --> 00:41:03,270
+أنا قاعد أضرب زي كمية .. خلّيني أقول الـ torque
+
+474
+00:41:03,270 --> 00:41:09,810
+قصر العزم اللي بنسميه عزم لما أضرب displacement ب
+
+475
+00:41:09,810 --> 00:41:14,430
+force بتطلع لي كمية تالتة لكن هذه الكمية هي vector
+
+476
+00:41:14,430 --> 00:41:19,890
+أيضاًفبالتالي لما أضرب two vectors و الناتج يطلع
+
+477
+00:41:19,890 --> 00:41:23,810
+عندى vector بسميه vector product أو مرات بسميه
+
+478
+00:41:23,810 --> 00:41:26,790
+cross product عشان أميزه عن ال vector product
+
+479
+00:41:26,790 --> 00:41:31,710
+فالرمز اللى هنحط بينهم هيكون cross عشان كده مرات
+
+480
+00:41:31,710 --> 00:41:36,090
+بسميه cross product أو vector product هذا هيكون
+
+481
+00:41:36,090 --> 00:41:40,070
+موضوعنا في المحاضرة اللى جاية ان شاء الله و
+
+482
+00:41:40,070 --> 00:41:41,270
+يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6s2w7zs-Ta8_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6s2w7zs-Ta8_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bd8d45fd5c560da61bb8cf7f742103dd27c8c4e6
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/6s2w7zs-Ta8_raw.srt
@@ -0,0 +1,2304 @@
+1
+00:00:21,040 --> 00:00:25,920
+بسم الله الرحمن الرحيم نبدأ بال chapter القبل
+
+2
+00:00:25,920 --> 00:00:33,140
+الأخر وهو chapter 11 بعنوان static equilibrium
+
+3
+00:00:33,140 --> 00:00:42,440
+طبعا كلمة equilibrium إيش معناتها اتزان توازن يعني
+
+4
+00:00:42,440 --> 00:00:48,160
+مافيش حركة هاي معناته مزال مافيش حركة إذا ال
+
+5
+00:00:48,160 --> 00:00:55,410
+acceleration جدتش؟طيب و Alpha؟ برضه Zero خلص ال
+
+6
+00:00:55,410 --> 00:01:02,050
+chapter بس .. بس .. هذا ال chapter خلص .. الشكل
+
+7
+00:01:02,050 --> 00:01:02,850
+بده حلو
+
+8
+00:01:06,030 --> 00:01:10,650
+لما يكون في عندي body under equilibrium فبقى ايش
+
+9
+00:01:10,650 --> 00:01:13,570
+بيقول؟ بيقول a rigid body is said to be in
+
+10
+00:01:13,570 --> 00:01:16,810
+equilibrium when the two following conditions are
+
+11
+00:01:16,810 --> 00:01:21,110
+satisfied في عندي شرطين، الكلام اللي انتوا حكيتوه
+
+12
+00:01:21,110 --> 00:01:27,890
+بس بينا نكتبه و انبسطهThe resultant external force
+
+13
+00:01:27,890 --> 00:01:32,430
+acting on the body must equal to zero لازم ال net
+
+14
+00:01:32,430 --> 00:01:41,060
+force يكون zero بالمعنى آخر القانون هذابتساوي MA
+
+15
+00:01:41,060 --> 00:01:46,200
+بتساوي هذه Zero إذا ال net external force must be
+
+16
+00:01:46,200 --> 00:01:49,900
+zero هذا اللي مسميه ال translational equilibrium
+
+17
+00:01:49,900 --> 00:01:58,360
+مالوش حركة انتقالية الشغل التاني طبعا هذا رياضيا
+
+18
+00:01:58,360 --> 00:02:03,500
+بتديني معادلتين معادلة سينية و معادلة صادية بيقول
+
+19
+00:02:03,500 --> 00:02:08,240
+لي معناته ال external forceequal to zero يعني ال
+
+20
+00:02:08,240 --> 00:02:13,300
+Fx equal to zero و ال Fy equal to zero طيب إذا هاي
+
+21
+00:02:13,300 --> 00:02:17,480
+أول شرط الداني معادلة تانية الشرط التاني بيقول لي
+
+22
+00:02:17,480 --> 00:02:20,640
+the resultant external torque ما هو الجسم
+
+23
+00:02:20,640 --> 00:02:24,660
+اكوليبريا ملاه بتتحرك ولا بدور ما زال بدورشمعناته
+
+24
+00:02:24,660 --> 00:02:28,680
+Alpha Zero وما زال Alpha Zero القانون اللي أخدناه
+
+25
+00:02:28,680 --> 00:02:32,340
+الـ Tau بتساوي I في Alpha وهادي Zero إذا المجموع
+
+26
+00:02:32,340 --> 00:02:37,260
+ال torque لازم يكون Zero إذا ال resultant external
+
+27
+00:02:37,260 --> 00:02:41,840
+torque must be Zero about any origin إحنا بناخد ال
+
+28
+00:02:41,840 --> 00:02:46,340
+torque حول محور الدوران و لا لأ طيب لما يكون الجسم
+
+29
+00:02:46,340 --> 00:02:50,490
+equilibrium بدورلأ طبعا .. اذا مافيش محور دوران ..
+
+30
+00:02:50,490 --> 00:02:53,230
+اذا مافيش محور دوران .. بقول اذا اي محور ييجي على
+
+31
+00:02:53,230 --> 00:02:56,780
+بالك منفع يكون محور دورانكمان؟ يعني بمعنى آخر
+
+32
+00:02:56,780 --> 00:03:00,760
+الباب هذا عشانه بنفتح و بنسكر عارفين محور الدوران
+
+33
+00:03:00,760 --> 00:03:04,320
+تبعه الرزاد صحيح؟ هبقى إنه عمري مش لفاتح ولا سكر و
+
+34
+00:03:04,320 --> 00:03:08,000
+الناس مش عارفين الرزاد و مش عارفين كيف بدور ممكن
+
+35
+00:03:08,000 --> 00:03:10,840
+يدور ع الشجهة دي و ممكن ع الشجهة دي و ممكن لفوق و
+
+36
+00:03:10,840 --> 00:03:14,740
+ممكن لتحت إذا أي محور دوران ممكن إذا مصير محور
+
+37
+00:03:14,740 --> 00:03:17,820
+الدوران أسهل لما يكون محور الدوران أنا اللي بدي
+
+38
+00:03:17,820 --> 00:03:22,420
+أختاره يعني أي محور دوران جسم ثابت إذا كان الجسمإن
+
+39
+00:03:22,420 --> 00:03:26,000
+في متزن أي محور دا وراه ممكن تاخده .. بقدر نحكي
+
+40
+00:03:26,000 --> 00:03:31,400
+عنه .. تمام .. طيب .. قاللي الآن .. بنفع أنت تطبق
+
+41
+00:03:31,400 --> 00:03:34,560
+هدول المعادلات و لا هدول .. من دون ما تعرف القوة
+
+42
+00:03:34,560 --> 00:03:38,740
+اللي بتأثر على الجسم .. مش هذه مجموعة القوة .. و
+
+43
+00:03:38,740 --> 00:03:41,000
+هذه مجموعة القوة .. و هذه ال torque .. إيش هي ال
+
+44
+00:03:41,000 --> 00:03:44,080
+torque؟ قوة في ذراع .. إذا بدي كله قوة .. في قوة
+
+45
+00:03:44,080 --> 00:03:47,500
+العمر المنجول ماتنساش ..جاذبيه الوزن اللي هي الوزن
+
+46
+00:03:47,500 --> 00:03:53,340
+طيب الوزن احنا فاهمين لما يكون جسم صغير هيك هي M
+
+47
+00:03:53,340 --> 00:03:58,500
+يقول هي MG صح ولا لأ طب لما يكون جسم زيك؟ وانا
+
+48
+00:03:58,500 --> 00:03:59,040
+بتحط MG
+
+49
+00:04:05,290 --> 00:04:10,590
+السينتر of mass
+
+50
+00:04:10,590 --> 00:04:14,310
+أو الـ center of gravity هي نفس الـ center of mass
+
+51
+00:04:14,310 --> 00:04:17,090
+أو الـ center of gravity يعني النقطة اللي عندها
+
+52
+00:04:17,090 --> 00:04:22,620
+الوزن بيأثر تمام؟ وهذه احنا هنعطيكم إياهاIt is a
+
+53
+00:04:22,620 --> 00:04:25,180
+point in which all of the weight اللي عندها كل
+
+54
+00:04:25,180 --> 00:04:28,880
+الوزن ال weight can be considered as being
+
+55
+00:04:28,880 --> 00:04:32,220
+concentrated at that point يعني عند النقطة اللي
+
+56
+00:04:32,220 --> 00:04:35,920
+ممكن تحطها لما يكون الجسم منتظم في النص لما يكون
+
+57
+00:04:35,920 --> 00:04:39,800
+الجسم منتظم بتوقع يكون في النص و احنا خدنا ال
+
+58
+00:04:39,800 --> 00:04:43,440
+center of mass كيف نجيبه تمام طبعا for homogeneous
+
+59
+00:04:43,440 --> 00:04:45,960
+symmetric objects the center of gravity و ال
+
+60
+00:04:45,960 --> 00:04:51,140
+center of mass زي بعض و احنا مش هناخد غير كده تمام
+
+61
+00:04:52,210 --> 00:04:55,730
+كيف بدي أحل المسائل؟ الشبكة تقريبا خلصت دا ال
+
+62
+00:04:55,730 --> 00:04:58,190
+section مش مهم كتير، هيك يعني ضاي ال section في
+
+63
+00:04:58,190 --> 00:05:03,630
+الآخر، بنحكي هيك على السريع و ما .. بنجيبش أسئلة
+
+64
+00:05:03,630 --> 00:05:07,550
+حالة، بنجيب أسئلة بسيطة جدا، كيف بدي أحل؟ المهم
+
+65
+00:05:07,550 --> 00:05:12,970
+أعرف أحل، طبعا هذا الشبكة المفروض أن يكون من أسهل
+
+66
+00:05:12,970 --> 00:05:18,650
+الشباكر، لأنه بيعتمد على شبكة 10 وشبكة 4مش في شبط
+
+67
+00:05:18,650 --> 00:05:21,970
+الأربعة كنا نقول F بساوي MA فبيتأثر، حط F بساوي
+
+68
+00:05:21,970 --> 00:05:25,210
+Zero وكنا نديه بالترك بساوي I في Alpha، بيبقى حط
+
+69
+00:05:25,210 --> 00:05:29,190
+الترك بساوي Zero، إذاً هذا هو خلاصة شبط الأعشرة
+
+70
+00:05:29,190 --> 00:05:33,750
+وشبط الأربعة، واللي فاهم شبط الأعشرة وشبط الأربعة،
+
+71
+00:05:33,750 --> 00:05:37,030
+بيبقى ليه صعب عنده، في ملاكة مثلك مع بعض، بيفهمهم
+
+72
+00:05:37,030 --> 00:05:41,530
+عشان نبدأ نحل أسئلة زي هذهبيقول problem solving
+
+73
+00:05:41,530 --> 00:05:45,170
+strategy كيف بدي انا احلل؟ ايش الستراتيجية بدي
+
+74
+00:05:45,170 --> 00:05:49,290
+ارسمها لحالي لكل المسائل عشان احلل؟ اول حاجة make
+
+75
+00:05:49,290 --> 00:05:52,570
+a sketch of the system under consideration طبعا ال
+
+76
+00:05:52,570 --> 00:05:56,890
+sketch احنا نديكم إياه دايما أفضل السؤال ترسمه و
+
+77
+00:05:56,890 --> 00:05:59,890
+بما انه احنا كل الأسئلة بنرسمكم إياها فهي أول
+
+78
+00:05:59,890 --> 00:06:06,090
+واحدة احنا عاملينها نرسم السؤال عشان تخيل شكلهطبعا
+
+79
+00:06:06,090 --> 00:06:10,270
+بعد كده بيقول بكتير بيبدأ تطبق قوانين في عندك Fx و
+
+80
+00:06:10,270 --> 00:06:13,690
+Fy تورك إذا أول حاجة بتعملها بيبدأ ترسم everybody
+
+81
+00:06:13,690 --> 00:06:20,630
+diagram أهم حاجة اغلط فيها مش صحيح تحل صح draw a
+
+82
+00:06:20,630 --> 00:06:23,010
+free body diagram for the system showing all the
+
+83
+00:06:23,010 --> 00:06:28,230
+external forces acting on it طبعا هتودي هنا trick
+
+84
+00:06:28,230 --> 00:06:32,310
+بيبيني أن القوة الداخلية ماكنتش دعوة فيها إيش هي
+
+85
+00:06:32,310 --> 00:06:36,740
+القوة الداخلية؟ بيقول ليجزء من ال system بيأثر على
+
+86
+00:06:36,740 --> 00:06:40,060
+جزء آخر، قوة داخلية ولا لا؟ هذه ما تبينهاش في ال
+
+87
+00:06:40,060 --> 00:06:43,640
+free body diagram يعني نفترض أن هناك سؤال مشهور
+
+88
+00:06:43,640 --> 00:06:49,400
+وخدته في المدرسة رجال على سلم رجال على سلم كما
+
+89
+00:06:49,400 --> 00:06:53,260
+الرجال و السلم system هاجد ضغط الرجال على السلم و
+
+90
+00:06:53,260 --> 00:06:55,840
+لا السلم على الرجال ماكنت اتعافف عنه هذه القوة
+
+91
+00:06:55,840 --> 00:06:59,460
+الداخلية فاهمت علينا أنا بس بدي القوة الخارجية و
+
+92
+00:06:59,460 --> 00:07:05,370
+احنا أخدنا بشكر تسعةو تمانية ان ال external force
+
+93
+00:07:05,370 --> 00:07:08,090
+هي اللي بتهمني .. ال internal force بتهمنيش .. و
+
+94
+00:07:08,090 --> 00:07:12,150
+شفنا العرب اللي رجعت عشان اتحافظ على ثبات موضوع ال
+
+95
+00:07:12,150 --> 00:07:17,720
+center of mass .. حلوDraw a free body diagram for
+
+96
+00:07:17,720 --> 00:07:20,320
+their system showing all the external forces
+
+97
+00:07:20,320 --> 00:07:21,440
+acting on it
+
+98
+00:07:33,460 --> 00:07:36,440
+Try to label each of these forces ادّي لك الواحد
+
+99
+00:07:36,440 --> 00:07:41,480
+رمز انت حرف الرمز سبعتك تمام Not that the internal
+
+100
+00:07:41,480 --> 00:07:46,140
+forces و هذه مرات بيغلطوا فيها قلت الله Not that
+
+101
+00:07:46,140 --> 00:07:49,560
+the internal forces acting from one part of the
+
+102
+00:07:49,560 --> 00:07:53,240
+system on the others must not be included in the
+
+103
+00:07:53,240 --> 00:07:56,320
+diagram مش مفروض يكونوا دي جوا ال diagram عندك و
+
+104
+00:07:56,320 --> 00:07:59,240
+هنضرب أمثلة و احنا بنحيل أسئلة و اكيد هتطللي واحدة
+
+105
+00:07:59,240 --> 00:08:01,660
+تقولي وين راحت القوة هذه اللي بيقولها جيت مدناش و
+
+106
+00:08:01,660 --> 00:08:07,310
+بيحطها عايزكم هتشوفواتمام بعد كده أنا حطيته وريحت
+
+107
+00:08:07,310 --> 00:08:11,010
+حالي المعادلة جسمتها نصين سين وصادر صحيح؟ إذا أنت
+
+108
+00:08:11,010 --> 00:08:14,530
+من الأول تطلع القوة اللي لا هي سينية ولا صادر
+
+109
+00:08:14,530 --> 00:08:18,130
+ياخدك تسوي فيها، ده بتحللها وفي حد ماعرفش يحلل من
+
+110
+00:08:18,130 --> 00:08:22,360
+شخصية أربعة، كلنا بنعرف أنه حللresolve .. حلل ..
+
+111
+00:08:22,360 --> 00:08:25,760
+all the forces into their rectangular components
+
+112
+00:08:25,760 --> 00:08:29,100
+.. الصيني والصاضي .. تمام .. it's choosing an
+
+113
+00:08:29,100 --> 00:08:31,240
+appropriate coordinate system .. بدك تختار الصين و
+
+114
+00:08:31,240 --> 00:08:34,160
+الصاد .. و غالبا الصين و الصاد تبعنا هيكون أفقي ..
+
+115
+00:08:34,160 --> 00:08:37,280
+لأن زمان كنا بيقول خلي المحور مع الحركة .. مظبوط؟
+
+116
+00:08:37,280 --> 00:08:40,360
+في حركة هنا؟ مافيش حركة .. فخلي محاورة كي هي ..
+
+117
+00:08:40,360 --> 00:08:43,380
+بتعرفها .. أفق و عمودي .. مافيش عندى مشكلة ..
+
+118
+00:08:44,910 --> 00:08:50,930
+خلّصنا من القانونين Fx و Fy بداية هنا ال torque هي
+
+119
+00:08:50,930 --> 00:08:55,030
+عبارة عن قوة في ذراع الشوة الذراع هي المسافة
+
+120
+00:08:55,030 --> 00:08:58,990
+العمودية بين خط عمل القوة ومحور الدوران إذا بدي
+
+121
+00:08:58,990 --> 00:09:02,190
+محور دوران طبعا محور الدوران مش موجود مافيش دوران
+
+122
+00:09:02,190 --> 00:09:06,990
+إذا انت حر اختلق محور دورانبدي نقطة أجيبي أعزم
+
+123
+00:09:06,990 --> 00:09:12,530
+عليها ات choose a convenient origin أي origin أنت
+
+124
+00:09:12,530 --> 00:09:15,830
+بتختاره مناسب إليك for calculating the net torque
+
+125
+00:09:15,830 --> 00:09:20,090
+عشان تحسب ال torque on the object remember that
+
+126
+00:09:20,090 --> 00:09:24,250
+the choice of the origin هو هذا الاختيار مافيش
+
+127
+00:09:24,250 --> 00:09:30,320
+قانون ولا قواعدعشوائي .. الوضع هو عشوائي .. انت كل
+
+128
+00:09:30,320 --> 00:09:34,460
+واحد حر في نفسه .. مازال عشوائي و انا حر .. دائما
+
+129
+00:09:34,460 --> 00:09:38,700
+الحرية بتسمحلي اعمل ال origin .. اختاره بحيث يقللي
+
+130
+00:09:38,700 --> 00:09:43,160
+ال calculation .. يخليها easy .. صح ولا لأ؟ نفطر
+
+131
+00:09:43,160 --> 00:09:47,460
+.. كيف بيكون easy؟ لأن انت بتعرف .. كل قوة بتمر في
+
+132
+00:09:47,460 --> 00:09:52,500
+محور الدوران .. انجدش عزمها؟ Zero .. اذا ..أربع
+
+133
+00:09:52,500 --> 00:09:55,200
+قوة متمركزين عند نقطة بيمروا في نقطة خد النقطة
+
+134
+00:09:55,200 --> 00:09:59,400
+هناك ساعتها بتلغي لك تتاربع قوة صحيح ولا لأ أسهل
+
+135
+00:09:59,400 --> 00:10:02,900
+لأ بيقول ليه بما ان هو arbitrarily عشوائي
+
+136
+00:10:02,900 --> 00:10:06,680
+therefore choose an origin that will simplify your
+
+137
+00:10:06,680 --> 00:10:09,400
+calculation as much as possible اتسهلك ال
+
+138
+00:10:09,400 --> 00:10:13,400
+calculation تبعتك و برضه هنحكي عنها و احنا بنحل في
+
+139
+00:10:13,400 --> 00:10:16,720
+الأرض دلوقتي قال لي خلاص ابدأ اشتغل عندك معادلة
+
+140
+00:10:16,720 --> 00:10:21,610
+تنزل سينوساب و معادلة توركتلاتة .. غالبا راح يكون
+
+141
+00:10:21,610 --> 00:10:26,090
+في عندك معادلات تلات مجاهيل بترجع لصف سابع و
+
+142
+00:10:26,090 --> 00:10:30,730
+بتحلها المعادلات و بتجيب المجاهيل تبعتكApplying
+
+143
+00:10:30,730 --> 00:10:34,370
+the equations of equilibrium وهي Fx و Fy و Torque
+
+144
+00:10:34,370 --> 00:10:37,910
+You get a set of linear equations بتشيبلك جملة
+
+145
+00:10:37,910 --> 00:10:42,110
+معادلات معدلتين تلاتة اربعة حسب ان انت ايش عندك
+
+146
+00:10:42,110 --> 00:10:45,890
+With several unknowns و عندك قدت مجهي تمام
+
+147
+00:10:45,890 --> 00:10:49,350
+Simultaneous solutions of these equations give us
+
+148
+00:10:49,350 --> 00:10:54,410
+the unknowns بتحلها و بتخلصها لكأذا الرسمة احنا
+
+149
+00:10:54,410 --> 00:10:57,850
+نديكم إياها تمام؟ في ريب ادي ديجراها أنت ممكن
+
+150
+00:10:57,850 --> 00:11:02,830
+تعمله بعد كده بدي أحلل ال forces و بعدين أبدأ
+
+151
+00:11:02,830 --> 00:11:08,250
+أختار هلجيت ال torque في موجة بسارب ولا لأ مع
+
+152
+00:11:08,250 --> 00:11:11,990
+عقارب الساعة و ضد عقارب الساعة
+
+153
+00:11:29,360 --> 00:11:40,680
+هيرجع يتصل عشان كده لازم تحط صومت نرفع
+
+154
+00:11:40,680 --> 00:11:45,910
+كبن نفسي بالتورأحنا اتفقنا تقرر ال default تبعه
+
+155
+00:11:45,910 --> 00:11:49,470
+أنه ضد عقارب الساعة موجب و مع عقارب الساعة سالق و
+
+156
+00:11:49,470 --> 00:11:53,230
+في الأخر قلنا مش دايما هذا صحيح حسب الحركة دايما
+
+157
+00:11:53,230 --> 00:11:56,730
+إذا الحركة أصلا مع عقارب الساعة أخده موجبان صح ولا
+
+158
+00:11:56,730 --> 00:12:00,570
+لأ؟ هذا في تقطع العشرة طب هنا في حركة؟ لأ طب إيش
+
+159
+00:12:00,570 --> 00:12:05,220
+أخد موجبين؟انت حرين .. اللي بده ياخد مع عقارة
+
+160
+00:12:05,220 --> 00:12:07,920
+بالساعة ياخد و اللي بده ياخد ضد عقارة بالساعة ياخد
+
+161
+00:12:07,920 --> 00:12:12,160
+.. بتفرج معاكم؟ لأ .. هو انت لما تأكسه و انكم
+
+162
+00:12:12,160 --> 00:12:16,700
+ضابطوا المعادلة بسالكوفي الصف الرابع وخامس مش
+
+163
+00:12:16,700 --> 00:12:19,240
+علمونا ان اي معادة ضربها في موجب ولا سالب بطولة
+
+164
+00:12:19,240 --> 00:12:23,060
+زمانية فبتفرجش معاكم اذا في اكتر من الشغل اللي انا
+
+165
+00:12:23,060 --> 00:12:27,020
+حُرف فيها عشان مافيش حركة وبالتالي ايه بتفرجش
+
+166
+00:12:27,020 --> 00:12:32,300
+معايا؟ اكتر فنقول بسم الله ونفتنحي الأنفلة واحدة
+
+167
+00:12:32,300 --> 00:12:36,360
+واحدة هذه المرجيحة تعطي ولاد صغار اول مرجيحة يعني
+
+168
+00:12:36,360 --> 00:12:39,720
+لو كان اتنين ولاد صغار بيعمل مرجيحة بيجيبوا خشب
+
+169
+00:12:39,720 --> 00:12:43,080
+وبيحطوه على حجر هي المرجيحة صحيح ولا لا؟ هذه أبسط
+
+170
+00:12:43,080 --> 00:12:48,450
+أنواع المراجعبيقولّي a uniform rod الأحمر هذا رود
+
+171
+00:12:48,450 --> 00:12:54,410
+تمام؟ of weight 40 نيوتين 40 نيوتين هذا الوزن و
+
+172
+00:12:54,410 --> 00:12:58,550
+الوزن بيجي من النص عشان هو uniform إذا وزنه 40
+
+173
+00:12:58,550 --> 00:13:03,850
+نيوتين ونهين راسمه 40 نيوتين هذا وزنه تمام؟
+
+174
+00:13:03,850 --> 00:13:07,190
+supports two masses حاطت عليهم كتلتين طفل و طفل
+
+175
+00:13:07,190 --> 00:13:12,500
+بصممناهم two masses هذا ميزان مواده ميزانتمام ويزن
+
+176
+00:13:12,500 --> 00:13:17,220
+500 نيوتن و 350 نيوتن و هدول كتلتين واحد منهم
+
+177
+00:13:17,220 --> 00:13:18,540
+تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و
+
+178
+00:13:18,540 --> 00:13:19,080
+تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و
+
+179
+00:13:19,080 --> 00:13:20,700
+تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و
+
+180
+00:13:20,700 --> 00:13:23,080
+تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و
+
+181
+00:13:23,080 --> 00:13:25,060
+تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و
+
+182
+00:13:25,060 --> 00:13:27,560
+تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و تلاتة و
+
+183
+00:13:27,560 --> 00:13:37,040
+تلاتة و تلاتة و
+
+184
+00:13:37,040 --> 00:13:42,350
+تلاتالدعم تحت السلطر ويقول لي هذه الخشب انا حاططها
+
+185
+00:13:42,350 --> 00:13:46,510
+من السلطر ومثبتها وبالتالي هي من عند السلطر حاطط
+
+186
+00:13:46,510 --> 00:13:53,850
+انا الوتد اللي بنسميه وتد حلو ايش بدك؟ تمام انا
+
+187
+00:13:53,850 --> 00:13:58,470
+500 نيوتن الواء الرجالي الدب اللي قلنا عنه ببعد
+
+188
+00:13:58,470 --> 00:14:03,560
+واحد و نص متر عن المركز حلوdetermine the upward
+
+189
+00:14:03,560 --> 00:14:07,460
+force capital N exerted on the body by the support
+
+190
+00:14:07,460 --> 00:14:12,640
+on the road by the support بده N اللي بتأثر على
+
+191
+00:14:12,640 --> 00:14:17,500
+الخشبة من الوتد تمام واضحة ايش بده كمان determine
+
+192
+00:14:17,500 --> 00:14:23,080
+whereبيدّوا where يعني بيدّوا مسافة الـ 350 نيوتن
+
+193
+00:14:23,080 --> 00:14:27,120
+كغرام يجب أن يكون ضاعت لتحسين الاسم عشان يصيح فيه
+
+194
+00:14:27,120 --> 00:14:31,040
+تحسين وين هذا بيجيجك؟ بيبقى عيجة في نفس البعد؟ لأ
+
+195
+00:14:31,040 --> 00:14:34,660
+ال 500 يبقى مختلف مصدودة ولا لأ؟ إذا بيدي X اللي
+
+196
+00:14:34,660 --> 00:14:39,200
+يتخليه يكون متزن، هذه معناته صحيح ولا لأ؟ تمام
+
+197
+00:14:40,740 --> 00:14:44,380
+لنراجع الخطوات واحدة واحدة أرسم السؤال مرسوم؟
+
+198
+00:14:44,380 --> 00:14:49,820
+مرسوم أرسم فيه body diagram للرصبة هيها نشوف إيش
+
+199
+00:14:49,820 --> 00:14:53,080
+في عليها قوة إيش هو ال system عندك ال system هي
+
+200
+00:14:53,080 --> 00:14:57,520
+الخشبة بالكتلتين هي ال system الخشبة بالكتلتين إيش
+
+201
+00:14:57,520 --> 00:15:02,360
+في عليهم وزن وزن الرجال الأول ووزن الرجال التاني
+
+202
+00:15:02,360 --> 00:15:08,400
+ووزن الخشبة هدول كلهم قوة خارجية صحيح ولا لأ؟ و
+
+203
+00:15:08,400 --> 00:15:13,610
+بعدينقوة الوتد على الخشبة برضه قوة خارجية، هاي
+
+204
+00:15:13,610 --> 00:15:19,330
+أربع قوة تمام هيك؟ هجيت وين؟ بكرا بشوف سؤال زي
+
+205
+00:15:19,330 --> 00:15:24,130
+هذا، بيجي واحد يقول لك طب وين وديت in لي هذا؟
+
+206
+00:15:24,130 --> 00:15:30,170
+برسموها، بنفع؟ لأ، هذه قوة الخشبة على الكتلة،
+
+207
+00:15:30,170 --> 00:15:34,030
+والكتلة والخشبة أصلا من ال system، بنفعش ولا في in
+
+208
+00:15:34,030 --> 00:15:40,380
+منها نحوها، هدول بيبينوش، تبقى هدول مش موجودينبدي
+
+209
+00:15:40,380 --> 00:15:43,640
+بعنوق واحد تاني كان يقولوني طب ليش انت حطيت هذه؟
+
+210
+00:15:43,640 --> 00:15:47,400
+ما هذه قوة هادية على هادية، بقولوا مين قال هيك؟
+
+211
+00:15:47,400 --> 00:15:50,760
+هذه مش قوة الكتلة على الخشبة، هذه قوة الجاذبية
+
+212
+00:15:50,760 --> 00:15:56,040
+الأرضية على الكتلة، تمام؟ قوة خارجية، لأنه جاذبية
+
+213
+00:15:56,040 --> 00:16:00,040
+أرضية، والأرض المجزمة من ال system تبعه، خلاص،
+
+214
+00:16:00,040 --> 00:16:05,580
+انتهينا طيب طبعا سؤال هذا عشان أسخن، سهل، في أي
+
+215
+00:16:05,580 --> 00:16:10,110
+قوة بدأت تحليل؟لأ لأ لأ كله ياسينية صاضي لأ حتى
+
+216
+00:16:10,110 --> 00:16:14,570
+صاضي كمان كمان كله صاضي كمان ياه هذا جيد للتسخين
+
+217
+00:16:14,570 --> 00:16:19,950
+سهل جدا مش فيه مدى فكير كتير حلو جالي خلصت هلجيت
+
+218
+00:16:19,950 --> 00:16:23,350
+أنا المعادلات اللي عندي اللي بتبقها في كل الأسئلة
+
+219
+00:16:23,350 --> 00:16:28,470
+هم مجموع القوة الصينية بتساوي zero مجموع القوة
+
+220
+00:16:28,470 --> 00:16:31,810
+الصادية بتساوي zero مجموع ال torque حوالي النقطة O
+
+221
+00:16:31,810 --> 00:16:36,050
+بتساوي zero هذا هو مافيش غير في كل الأسئلة تبعتها
+
+222
+00:16:36,050 --> 00:16:42,060
+كمانفي قوة سمية؟ لأ لأ ماتتزننيش نيجي للقوة
+
+223
+00:16:42,060 --> 00:16:47,260
+الصادرية نبين طبعا أنا بدي أخد اتجاه اللي أعلى
+
+224
+00:16:47,260 --> 00:16:51,080
+مودة و اللي أتاحت أسفل يالا نعدها كم قوة فوق؟
+
+225
+00:16:51,080 --> 00:16:56,900
+واحدة واحدة اشيه؟ تلاني اللي تحت تلاني تلاني تلاني
+
+226
+00:16:56,900 --> 00:16:59,000
+تلاني تلاني تلاني تلاني تلاني تلاني تلاني تلاني
+
+227
+00:16:59,000 --> 00:16:59,460
+تلاني تلاني تلاني تلاني تلاني تلاني تلاني تلاني
+
+228
+00:16:59,460 --> 00:17:01,980
+تلاني تلاني تلاني تلاني تلاني تلاني تلاني تلاني
+
+229
+00:17:01,980 --> 00:17:02,560
+تلاني تلاني تلاني تلاني
+
+230
+00:17:07,020 --> 00:17:16,580
+850 و 40 و 890 هاي أول مطلوب صعب؟
+
+231
+00:17:16,580 --> 00:17:20,600
+لأ مش صعب هو تسخين السؤال ما هو تسخين بس ما هو
+
+232
+00:17:20,600 --> 00:17:25,280
+ببدأ من هنا إذا احنا صخمنا صح نفضل نمشي لكل الصعب
+
+233
+00:17:25,280 --> 00:17:30,760
+يطلع معنا صح حلو المطلوب التاني بده X طبعا ال X
+
+234
+00:17:30,760 --> 00:17:34,040
+معناته بده torque لإن ال torque هو اللي بتجيب
+
+235
+00:17:34,040 --> 00:17:40,530
+مسافة في قوة صح ولا لأجاللي هذا القانون بيقوللي
+
+236
+00:17:40,530 --> 00:17:45,630
+هذه O انت حر انت وياها هجيت ال O أخدها هنا أخدها
+
+237
+00:17:45,630 --> 00:17:50,830
+هنا أخدها هنا كل واحد وين ما حطيتوا أصبعكم O ممكنة
+
+238
+00:17:50,830 --> 00:17:54,570
+وكله بيطلع نفسي الإيجابة بس بيضل هذه طريقة أكثر من
+
+239
+00:17:54,570 --> 00:17:59,590
+هذه ولا أصعب ولا أسهل بس مش أكتر تمام أنا بقول
+
+240
+00:17:59,590 --> 00:18:04,050
+هذين أربع قوة صح ولا لأ؟ في قوتين متلقين بنقطة
+
+241
+00:18:04,050 --> 00:18:08,860
+واحدة لو أخدت ال origin هنابقدر أقول ان مالهاش
+
+242
+00:18:08,860 --> 00:18:13,740
+torque والاربعين مالهاش torque صح ولا لا؟ أسهل هي
+
+243
+00:18:13,740 --> 00:18:18,520
+ضيعت two torques تمام؟ وبالتالي مازال انا حر فبدأ
+
+244
+00:18:18,520 --> 00:18:25,940
+اختار ال O هنا يا مانت تمام هيك؟ خلاص أعيد هجيت
+
+245
+00:18:25,940 --> 00:18:30,800
+هنا قلتلك هذه نقطة و هذه نقطة و هذه نقطة أخدت
+
+246
+00:18:30,800 --> 00:18:36,370
+النقطة هذه تمام؟هذه لها عزم وهذه لها عزم وهذه لها
+
+247
+00:18:36,370 --> 00:18:40,870
+عزم كم عزم تختارينه تحسبينه؟ تلاتة صح؟ طبعا هذه
+
+248
+00:18:40,870 --> 00:18:44,350
+ليست لها عزم أخد النقطة هنا بقول هذه عزمها Zero
+
+249
+00:18:44,350 --> 00:18:47,950
+وهذه عزمها Zero لأنها تبور في النقطة تبقى لدي هذه
+
+250
+00:18:47,950 --> 00:18:50,710
+لها عزم وهذه لها عزم كم عزم تختارينه؟ مين الـ
+
+251
+00:18:50,710 --> 00:18:54,790
+Select؟ او تلاتة؟ فأسهل انك تاخد هذه طبعا لو حد
+
+252
+00:18:54,790 --> 00:18:57,790
+يقول لا انا ماحبش الصعيد للصعيد طب روح هنا أعمله
+
+253
+00:18:57,790 --> 00:19:02,090
+مافيش فائقة بطلع ناسا الإجابة أه مش حقيقة اختلفة
+
+254
+00:19:03,150 --> 00:19:09,430
+خلّينا ناخد هذا ال standard بدي اعمل torque بدي
+
+255
+00:19:09,430 --> 00:19:12,270
+اخد مع اقارب الساعة هو الموجد و بعد كده انا و
+
+256
+00:19:12,270 --> 00:19:14,730
+اياكم بدي ناخد ضد اقارب الساعة هو الموجد بس انا
+
+257
+00:19:14,730 --> 00:19:19,350
+هجيش بحب اقارب الساعة هو يكون موجد حلو؟ تمام نقطة
+
+258
+00:19:19,350 --> 00:19:24,690
+الدوران بيانت انا حددتها انا و اياكم O طلعولي على
+
+259
+00:19:24,690 --> 00:19:29,870
+350 نيوتنومحور الدوران شايفينه ولا لا؟ ولا مجهول؟
+
+260
+00:19:29,870 --> 00:19:34,930
+شايفينه؟ 350 مع ولا ضد؟ مع؟ ماع؟ ماع؟ ماع؟ ماع؟
+
+261
+00:19:34,930 --> 00:19:34,930
+ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟
+
+262
+00:19:34,930 --> 00:19:35,290
+ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟
+
+263
+00:19:35,290 --> 00:19:36,090
+ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟
+
+264
+00:19:36,090 --> 00:19:37,630
+ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟
+
+265
+00:19:37,630 --> 00:19:37,630
+ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟
+
+266
+00:19:37,630 --> 00:19:44,770
+ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟ ماع؟
+
+267
+00:19:44,770 --> 00:19:47,470
+ماع؟
+
+268
+00:19:55,200 --> 00:20:00,520
+أي ورده؟ اش بده هو؟ اكس .. اكس .. صح طبعا .. شوف
+
+269
+00:20:00,520 --> 00:20:04,440
+انت لو واحد يقول تغلبنا مرة معه و مرة ضده .. انا
+
+270
+00:20:04,440 --> 00:20:07,900
+بده ضده يظل ماشي هو اللي معاه .. هو الموجب صح ولا
+
+271
+00:20:07,900 --> 00:20:14,160
+..؟بقول هذا تضع عقارب الساعة وهذا مع عقارب الساعة
+
+272
+00:20:14,160 --> 00:20:20,080
+إذا بصير زائد خمسمية في واحد و نص ناقص تلاتمية و
+
+273
+00:20:20,080 --> 00:20:24,380
+خمسين في X سواء زي و .. إيش الفرقة تدعى لهذه؟ لو
+
+274
+00:20:24,380 --> 00:20:28,940
+ده بتهدي في سالب وهذه في موجة بطلع تهدي فهي هي ..
+
+275
+00:20:28,940 --> 00:20:31,880
+ماتفرجش بطلع X صعبة
+
+276
+00:20:39,430 --> 00:20:41,690
+واحد بيقولوا هم هم بيجيبونها ياريت بيجيبونها سالة
+
+277
+00:20:41,690 --> 00:20:47,650
+زي هذه لأ كنا نجيب وكنا .. هو يعني بتجيب يعني كنا
+
+278
+00:20:47,650 --> 00:20:52,330
+فعل بيستمر كنا نجيب و بيقول لأ الواحد هتطلق in هنا
+
+279
+00:20:52,330 --> 00:20:56,320
+in واحد و in اتنين ايش يسوي فيه ساعتهالأ بنظهر،
+
+280
+00:20:56,320 --> 00:21:00,160
+يبقى ليه بنجيب؟ قولي باسم الله ينزل الملك يخلينا
+
+281
+00:21:00,160 --> 00:21:04,000
+نجيبها نفسها تمام، إذا all the forces acting on
+
+282
+00:21:04,000 --> 00:21:08,200
+the system وال system هو بحدد هو الrod plus the
+
+283
+00:21:08,200 --> 00:21:11,600
+two masses are shown، هاي يوم شفناهم تمام، not
+
+284
+00:21:11,600 --> 00:21:14,420
+that the forces acting by the rod on the two
+
+285
+00:21:14,420 --> 00:21:18,760
+masses are not included تمام، وبما أنه كل مرة كنت
+
+286
+00:21:18,760 --> 00:21:22,100
+أجيب سؤال زي هذا ألاقي الإننات اللي بقول عنها،
+
+287
+00:21:22,100 --> 00:21:27,910
+فروح اتحطيت هذه الجملةNote that the forces acting
+
+288
+00:21:27,910 --> 00:21:31,270
+by the rod on the two masses are not included وكتب
+
+289
+00:21:31,270 --> 00:21:36,510
+Y لا بدّي أن واحد ولا بدّي أن اتنين تمام Now قال
+
+290
+00:21:36,510 --> 00:21:41,470
+لي ساخدم القانون fy بتساوي Zero فقال لي N ناقص
+
+291
+00:21:41,470 --> 00:21:44,770
+خمسمية ناقص اربعين ناقص سبتمبر خمسين بتساوي Zero و
+
+292
+00:21:44,770 --> 00:21:50,620
+N بتساوي تمانية وتسعين نيوتم حلوالان بحث عن مركز
+
+293
+00:21:50,620 --> 00:21:55,020
+الضغط قال لي خد النقطة ال origin زي ما اتفقنا فصار
+
+294
+00:21:55,020 --> 00:22:01,360
+عندي 500 في 1.5 ناقص 350 في x بالساوية 0 وطلعت x
+
+295
+00:22:01,360 --> 00:22:07,420
+بالساوية 2.14 متر اذا عشان يصير فيه balance لازم
+
+296
+00:22:07,420 --> 00:22:11,540
+الخفيف يبعد اكتر من الجيل وهذه شغلها ملطقية وكنا
+
+297
+00:22:11,540 --> 00:22:15,020
+بنعرفها هاي اول مثال اي صفصار جانب المقام قوله على
+
+298
+00:22:15,020 --> 00:22:22,740
+اي مثال اخرأكيد؟ طيب بسم الله ها كمان مثال يقول لي
+
+299
+00:22:22,740 --> 00:22:23,460
+في عندك
+
+300
+00:22:26,350 --> 00:22:30,210
+ها رابطها برزة .. الرزة .. تعرفوها الرزة؟ بن
+
+301
+00:22:30,210 --> 00:22:34,270
+بنسميها .. تمام؟ بيقولي a horizontal .. a uniform
+
+302
+00:22:34,270 --> 00:22:38,270
+.. horizontal beam اللي هي الشكل الأخضر هذا .. هذا
+
+303
+00:22:38,270 --> 00:22:41,430
+ال beam .. uniform و حلوة و تمام .. تمام يعني ال
+
+304
+00:22:41,430 --> 00:22:44,290
+center of mass في النص .. هاي معناته uniform ..
+
+305
+00:22:44,290 --> 00:22:47,330
+تمام .. of length تمانية متر .. طولها تمانية متر
+
+306
+00:22:47,900 --> 00:22:52,420
+طيب and weight 200 ميوتي يعني الهوزم الخشبة هذه
+
+307
+00:22:52,420 --> 00:22:57,400
+تقيلة عشرين كيلو تمام يعني بتيجي عشرين كيلو تمانية
+
+308
+00:22:57,400 --> 00:23:01,440
+متر يعني جد الغرفة كلها هادى فبالتالي بتكون تقيلة
+
+309
+00:23:01,440 --> 00:23:06,360
+تمام attached to a wall by a pin connecting
+
+310
+00:23:06,360 --> 00:23:09,280
+connection by a pin connection هذه الصمرة شايفين
+
+311
+00:23:09,280 --> 00:23:12,940
+هذه الصمرة هذه رزة اذا انا رابطها بالحيط عن طريق
+
+312
+00:23:12,940 --> 00:23:19,420
+رزة لو فلتها بتبقى معلقة تنزل صحيح ولا لا؟هل
+
+313
+00:23:19,420 --> 00:23:29,160
+تسموها رزة؟ هل تسموها رزة؟ هل تسموها رزة؟
+
+314
+00:23:29,160 --> 00:23:31,380
+هل تسموها رزة؟ هل تسموها رزة؟ هل تسموها رزة؟ هل
+
+315
+00:23:31,380 --> 00:23:31,940
+تسموها رزة؟ هل تسموها رزة؟ هل تسموها رزة؟ هل
+
+316
+00:23:31,940 --> 00:23:34,240
+تسموها رزة؟ هل تسموها رزة؟ هل تسموها رزة؟ هل
+
+317
+00:23:34,240 --> 00:23:36,480
+تسموها رزة؟ هل تسموها رزة؟ هل تسموها رزة؟ هل
+
+318
+00:23:36,480 --> 00:23:39,640
+تسموها رزة؟ هل تسموها رزة؟ هل تسموها رزة؟ هل
+
+319
+00:23:39,640 --> 00:23:42,420
+تسموها رزة؟ هل تسموها رزة؟ هل تسموها رزة؟ هل
+
+320
+00:23:42,420 --> 00:23:48,460
+تسموها رزة؟ هل
+
+321
+00:23:48,460 --> 00:23:52,940
+تسمممنوع يظلوا برا و يناولوا الشغلات .. جيبلي
+
+322
+00:23:52,940 --> 00:23:56,740
+وجهية سكر ولا وجهية ملح .. و هيك شغلات .. فكان يحط
+
+323
+00:23:56,740 --> 00:24:02,120
+باب رزته يطلع و ينزل .. تمام؟ و بالتالي يسكر على
+
+324
+00:24:02,120 --> 00:24:06,020
+حاله .. فهذه الرزة لو .. و كان يسمده بشغلة ..
+
+325
+00:24:06,020 --> 00:24:09,320
+جامسون ده ايش بصي بالباب؟ بنزل تحت .. تمام؟ فانا
+
+326
+00:24:09,320 --> 00:24:13,140
+هذه الرزة تبعت هيك .. يعني هب أن هذه الرزة حطتها
+
+327
+00:24:13,140 --> 00:24:18,130
+فوق ..تمام؟ وخلّيت الباب بتطلع وفلته اه بتنزل تاني
+
+328
+00:24:18,130 --> 00:24:23,270
+طبعا بنزل هاي الرزة عرفناها شيء من الرزات مفصلة
+
+329
+00:24:23,270 --> 00:24:29,050
+خلينا نسميها باللغة ال .. الرسمية أو الفصحى بس
+
+330
+00:24:29,050 --> 00:24:32,050
+احنا اللغة التجارية رزة عشان فيما لو بكرا واحد
+
+331
+00:24:32,050 --> 00:24:34,630
+يقولكوا بكى من الرزة تعرفش ايه الرزة؟ تاكلها
+
+332
+00:24:34,630 --> 00:24:38,670
+غالية، رخيصة تمام؟ مش أرخص منها في المحلات يعني
+
+333
+00:24:38,670 --> 00:24:42,550
+ممكن تلاقوها بتنين شكل لوحدها اه خاص، في منهم ارخص
+
+334
+00:24:42,550 --> 00:24:48,400
+جداتمام جالي عشان ما ترجعش هذه سويتها ربطها بحبي
+
+335
+00:24:48,400 --> 00:24:53,820
+ربطها بحبي زي ما انت شايفين خلاص سمع و كمان بدي
+
+336
+00:24:53,820 --> 00:24:59,380
+اشوف الحاب الجوي ولا حاطط فوقها شخص الشخص هذاطبعا
+
+337
+00:24:59,380 --> 00:25:03,660
+ايش كتبلي هنا اذا انا ربيتها attached to the wall
+
+338
+00:25:03,660 --> 00:25:07,200
+by a beam connection that allows the beam to
+
+339
+00:25:07,200 --> 00:25:12,380
+rotate بحيث ان انا بممكن تنزل و تطلع بتخلي الخشبة
+
+340
+00:25:12,380 --> 00:25:19,890
+تلف هاي معناه rotateit's far end طرفها البعيد
+
+341
+00:25:19,890 --> 00:25:23,910
+supported by a cable هذا كابل اللي هو حبل يعني
+
+342
+00:25:23,910 --> 00:25:27,730
+that makes an angle of fifty three degree with
+
+343
+00:25:27,730 --> 00:25:33,030
+horizontal ومدّيكم الزاوية if a six hundred Newton
+
+344
+00:25:33,030 --> 00:25:37,930
+person ستين كيلو واحد شخص كتلة واحدة طيب it stands
+
+345
+00:25:37,930 --> 00:25:41,510
+two meters from the wall المسافة هذه .. هذي اتنين
+
+346
+00:25:41,510 --> 00:25:44,110
+متر هي خطأ مطبعي لإن مفهومش يكون هذي تمانية و هذي
+
+347
+00:25:44,110 --> 00:25:48,890
+تمانية هذي اتنين متر حسب النصفاعل بيقول يجدش الحبل
+
+348
+00:25:48,890 --> 00:25:55,210
+شد فيه بده قوة يعني بالحلل تمام؟ بده شد in the
+
+349
+00:25:55,210 --> 00:26:00,090
+cable and the force are exerted on the beam by the
+
+350
+00:26:00,090 --> 00:26:04,910
+wall حد معلج هيك تعليج ولا مربوط بالحيطة أو بالرزة
+
+351
+00:26:04,910 --> 00:26:07,330
+يعني ما الرزة خايف يزور من الحيطة ده اللي قاللي
+
+352
+00:26:07,330 --> 00:26:13,930
+هذه الرزة بتعمل قوة على القشبة جيبليها صعبة الأمور
+
+353
+00:26:13,930 --> 00:26:20,550
+تمام؟ بدينا نفتح تمناهانشوف واحدة واحدة مش احنا
+
+354
+00:26:20,550 --> 00:26:23,050
+اتفقنا ليه استراتيجية حطيناها عشان تسهل علينا كل
+
+355
+00:26:23,050 --> 00:26:27,550
+شيء احنا بدنا نترجم ال استراتيجية اذا حلنا صح بقت
+
+356
+00:26:27,550 --> 00:26:32,010
+كده بصرا انتي انا مجرد قوة ومعادلات وبشكل عليها بس
+
+357
+00:26:32,010 --> 00:26:35,850
+نأسس كيف نجيب احنا نقول إن الرسم مابين عينكم ولا
+
+358
+00:26:35,850 --> 00:26:40,470
+لأ؟ هاي أول خطوة، خطوة تانية، everybody؟ ديجرام،
+
+359
+00:26:40,470 --> 00:26:44,150
+حلو نجي نشوف، الخشب ايه الهوزين؟ بده يبين ولا
+
+360
+00:26:44,150 --> 00:26:48,990
+مابدهش يبين؟ تمام، هاي الـ200 نيوتنطيب، وزن الرجال
+
+361
+00:26:48,990 --> 00:26:56,430
+بالكاشية؟ بالدنيا؟ هاي بيجي على الخشب و الرجال
+
+362
+00:26:56,430 --> 00:27:00,030
+بيقول أبقى عابدش أجعل أنا معه؟ بيجعل معه، طبعا؟
+
+363
+00:27:00,030 --> 00:27:05,170
+براو عليك، الشد، الحبل مش من الظاهر، طبعا؟ إذا
+
+364
+00:27:05,170 --> 00:27:13,610
+الشد هاد قوة خارجية، الحبل؟ حلو؟ حلوية؟ ضايل؟
+
+365
+00:27:17,840 --> 00:27:22,460
+ماذا في قوة تؤثر على هذه من اللوحة؟ من اللوحة الـ
+
+366
+00:27:22,460 --> 00:27:27,900
+N الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟
+
+367
+00:27:27,900 --> 00:27:27,900
+الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟
+
+368
+00:27:27,900 --> 00:27:29,020
+الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟
+
+369
+00:27:29,020 --> 00:27:29,120
+الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟
+
+370
+00:27:29,120 --> 00:27:29,180
+الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟
+
+371
+00:27:29,180 --> 00:27:29,180
+الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟
+
+372
+00:27:29,180 --> 00:27:35,460
+الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟ الـ N؟
+
+373
+00:27:35,460 --> 00:27:37,440
+الـ
+
+374
+00:27:39,960 --> 00:27:44,700
+مش هي؟ الرزة .. لأ مش من ال system لأ مش من ال
+
+375
+00:27:44,700 --> 00:27:48,520
+system جزء من الحيطة صارت يعني هي مرتبطة بالحيطة
+
+376
+00:27:48,520 --> 00:27:51,720
+مش .. يعني هي لما تنزل وتطلع الرزة بتروح و تيجي
+
+377
+00:27:51,720 --> 00:27:55,860
+معها ولا هي مسكها هي مسكها و بتروح و بتيجي و الرزة
+
+378
+00:27:55,860 --> 00:28:00,600
+واقفة بس الرجال و الخشبة هو ال system يعني الرزة
+
+379
+00:28:00,600 --> 00:28:05,580
+خلت جزء من الحيطة تمام الرجال و الخشبة بالظبط هم
+
+380
+00:28:05,580 --> 00:28:10,020
+الرجال و الخشبة هم اللي بروحوا بيجيشو؟ لأ الرزا
+
+381
+00:28:10,020 --> 00:28:17,900
+ثابتة ثابتة و انا بروح بيكي عليها محفظ .. محفظ ..
+
+382
+00:28:17,900 --> 00:28:20,000
+محفظ .. محفظ .. محفظ .. محفظ .. محفظ .. محفظ ..
+
+383
+00:28:20,000 --> 00:28:20,260
+محفظ .. محفظ .. محفظ .. محفظ .. محفظ .. محفظ ..
+
+384
+00:28:20,260 --> 00:28:20,980
+محفظ .. محفظ .. محفظ .. محفظ .. محفظ .. محفظ ..
+
+385
+00:28:20,980 --> 00:28:26,540
+محفظ .. محفظ .. محفظ .. محفظ .. محفظ .. محفظ ..
+
+386
+00:28:26,540 --> 00:28:31,940
+محفظ .. محفظ .. محفظ .. محفظ .. محفظ .. محفظ ..
+
+387
+00:28:31,940 --> 00:28:36,120
+محفظ .. محفظ .. محفظ .. محفظ .. محفظ .. محفظ ..
+
+388
+00:28:36,120 --> 00:28:36,760
+محفظ .. م
+
+389
+00:28:42,500 --> 00:28:48,720
+بدي الآن ارسم ان .. بدي ردي الفعل بمعنى اخر مش
+
+390
+00:28:48,720 --> 00:28:54,040
+احنا بنقول كان زمان ان عمودي حلو الرزة بدي اكل ..
+
+391
+00:28:54,040 --> 00:28:57,820
+تشوفوا كيف تعملوا ليها عمودي عليها عمودي على
+
+392
+00:28:57,820 --> 00:29:01,970
+الخشبة؟ لا عمودي على الرزةهو مش عمودي على السطح
+
+393
+00:29:01,970 --> 00:29:07,290
+هاجد احنا قولنا هنا عمودي ع إيش على اللوح هنا
+
+394
+00:29:07,290 --> 00:29:12,370
+عمودي على إيش؟ على الطاولة تمام؟ و لمّا يكون ميل
+
+395
+00:29:12,370 --> 00:29:16,950
+عمودي ع إيش على السطح الميل إذا دايما عمودي على
+
+396
+00:29:16,950 --> 00:29:23,150
+السطح هتكون عمودة ع الهاتف؟ لأ ما هو .. هي مش ركزة
+
+397
+00:29:23,150 --> 00:29:27,850
+على الحط هي مربوطة بالرزة والرزة زي ما انتوا
+
+398
+00:29:27,850 --> 00:29:35,760
+شايفينهاشكلها الكاروي أو دائري صح ولا لا؟ كيف يعني
+
+399
+00:29:35,760 --> 00:29:47,490
+هيك؟ كيف؟ طب ليش مائد؟ ليش أفقية؟طب أحاجيت لو كانت
+
+400
+00:29:47,490 --> 00:29:50,490
+.. خلّيني أقول هي الرزا تبعتي و أنا رابطها هنا ..
+
+401
+00:29:50,490 --> 00:29:55,010
+مفروض عشان تكون صحيحة، بدأ تكون في اتجاه الماء، طب
+
+402
+00:29:55,010 --> 00:29:57,730
+أنا مش عارف اي اتجاه، ليش؟ لأن هذا الشطرح مش منتظم
+
+403
+00:29:57,730 --> 00:30:01,050
+بالنهاية، لو إنه طاولة زي هيك، بقول فيش اصلا منها،
+
+404
+00:30:01,050 --> 00:30:04,910
+ده عمود عليها، صح؟ لو لوح، بقول هي عمود عليها،
+
+405
+00:30:04,910 --> 00:30:09,590
+خلصنا، صحيح؟ هذا الشكل مش منتظم، بالتالي الاتجاه
+
+406
+00:30:09,590 --> 00:30:14,030
+مش عارف، تفضطوا بأي اتجاه بدكي يعنيحطه بأي اتجاه
+
+407
+00:30:14,030 --> 00:30:22,090
+بدكيا في الآخر المعادلات هجيبلك الاتجاه نص
+
+408
+00:30:22,090 --> 00:30:27,510
+قطر العكس انك عكستي نص قطر طب و نص قطر رأى كم نص
+
+409
+00:30:27,510 --> 00:30:31,530
+قطر عندك في الدائرة؟ طعام وبالتالي قاللي انت مانت
+
+410
+00:30:31,530 --> 00:30:36,410
+تغيّر .. تغلبش حالك هه هاي الشد عليهم هاي اهوحد
+
+411
+00:30:36,410 --> 00:30:39,570
+يقولي ميلها لتحت .. ميلها لتحت .. طلعها لفوق ..
+
+412
+00:30:39,570 --> 00:30:43,050
+طلعها لفوق .. وانا مابدك اعملها .. تمام؟ ال
+
+413
+00:30:43,050 --> 00:30:44,530
+difference ازاي هو ال difference .. وحد يقولي انك
+
+414
+00:30:44,530 --> 00:30:46,870
+تطلع أفقية .. بقول اذا كنت تطلع أفقية يعني مركبة
+
+415
+00:30:46,870 --> 00:30:49,850
+الصارية هتطلع معانا زيك .. صحيح ولا لأ؟ خلّي
+
+416
+00:30:49,850 --> 00:30:54,390
+الحسابات هي تجيبلكيهافانت حطها عشوائي، إذا طول ما
+
+417
+00:30:54,390 --> 00:30:56,990
+السطح .. هذه النقطة اللي بيدركز عليها .. طول ما
+
+418
+00:30:56,990 --> 00:31:00,650
+السطح اللي راكز عليه ال ECM غير منتظم، حطه بصورة
+
+419
+00:31:00,650 --> 00:31:05,410
+عشوائية، يعني Hub، إنه أنا شغل أركز على هذه
+
+420
+00:31:05,410 --> 00:31:10,190
+الحتفة، شايفينها؟ حتفة العتبةالحفة كي بده حط R؟
+
+421
+00:31:10,190 --> 00:31:15,670
+برضه عشوائية لإنه مش سطح منتظم زي هيك ولا حيطة بده
+
+422
+00:31:15,670 --> 00:31:20,830
+يركز على أي سؤال مازال راكز على حفة والحفة الجسير
+
+423
+00:31:20,830 --> 00:31:24,450
+بيعملها زي دويرة لما يعملها يجسرها وبالتالي بيكونش
+
+424
+00:31:24,450 --> 00:31:32,730
+منتظمة فلازم تكون تمام إذا فهمت هذه خلص السؤال خلص
+
+425
+00:31:33,690 --> 00:31:37,050
+إذا ارتصمت صح الـ free body diagrams مهما يكون
+
+426
+00:31:37,050 --> 00:31:44,530
+السؤال صعب بشكله و بضصه بعد كده بتحول إلى قوة عندي
+
+427
+00:31:44,530 --> 00:31:50,430
+أنا الـ 200 والـ 600 والـ T والـ R كلهم قوة بعد
+
+428
+00:31:50,430 --> 00:31:53,590
+كده بدي أبدأ أحلل .. في حد صائب عليه أحلل
+
+429
+00:31:53,590 --> 00:31:57,030
+اللقوتين؟ إيش هم اللي بدون تحليل؟ الـ T والـ R
+
+430
+00:31:57,030 --> 00:32:05,730
+تمام الـ T سهل تي كوساين و تي صينهذه مش كاتبها أنا
+
+431
+00:32:05,730 --> 00:32:11,170
+لأ هي موجود تقريبا تقريبا تقريبا تقريبا تقريبا
+
+432
+00:32:11,170 --> 00:32:14,370
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+433
+00:32:14,370 --> 00:32:17,410
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+434
+00:32:17,410 --> 00:32:19,850
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+435
+00:32:19,850 --> 00:32:19,850
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+436
+00:32:19,850 --> 00:32:19,870
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+437
+00:32:19,870 --> 00:32:24,210
+تقريبا تقريبا
+
+438
+00:32:31,510 --> 00:32:34,950
+إذا أنا كان مجور فيه، برضه اتنين، Rx وRy لأ بتخلي
+
+439
+00:32:34,950 --> 00:32:38,650
+R في تالة Rx وRy كل واحد طيب ال R هذا عبارة عن
+
+440
+00:32:38,650 --> 00:32:43,270
+ايش؟ اه انت قوليلي انت عبارة عن ايش؟ فكري وشوف إيش
+
+441
+00:32:43,270 --> 00:32:47,250
+هي يعني هلأ هو .. أنا رسم اللي فاهمش بما أصلا، هلأ
+
+442
+00:32:47,250 --> 00:32:51,910
+هذه الحنزة ولا هي خشبة يعني؟ هذه الخشبة، شايفاها؟
+
+443
+00:32:51,910 --> 00:32:56,870
+تقولي تحت الخشبة؟ هذه خشبةهنا مش راكزة على الحياط
+
+444
+00:32:56,870 --> 00:33:00,730
+الركوز مربوطة بالحياط بالرزة اللي بنحكي عنها
+
+445
+00:33:00,730 --> 00:33:07,090
+بالمفصلة هنا في مفصلة تمام فانا رابط الخشبة
+
+446
+00:33:07,090 --> 00:33:13,730
+بالحياط بمفصلة بالتالي هذه المفصلة بتأثر على
+
+447
+00:33:13,730 --> 00:33:20,730
+الخشبة بقوة لأنه هي مسكها مسكها يعني بقوة غيره إذا
+
+448
+00:33:20,730 --> 00:33:28,100
+اعرفش هي؟ هذهزاكرين البقرة؟ لما كنا نقول لكم
+
+449
+00:33:28,100 --> 00:33:32,220
+البقرة راكزة على مصمار كنا نقول للمصمار بيأثر على
+
+450
+00:33:32,220 --> 00:33:35,440
+البقرة ولا لا؟ ولمّا جينا المصمار وقلنا كيف بتكون
+
+451
+00:33:35,440 --> 00:33:38,160
+R وعملتلكم إياها مشالجة في أي مكان من يوميتها
+
+452
+00:33:38,160 --> 00:33:41,480
+وقلنا ماتفرجش معاكم لأن الطرق تبع حزيره ولا لا؟
+
+453
+00:33:41,480 --> 00:33:47,000
+وهذه نفس العملية أنا الخشبة هيك معطوطة وبطريقة
+
+454
+00:33:47,000 --> 00:33:51,360
+هندسية أو ميكانيكية أنا عاملها بحيث أنها تكون
+
+455
+00:33:51,360 --> 00:33:56,050
+ثابتةهجيت أصابيع هجيت مسكين طبعا أصابيع أيه؟ فيه
+
+456
+00:33:56,050 --> 00:33:59,450
+حرية تروح و تيجي هجيت أصابيع بأثره على هذه ولا لا؟
+
+457
+00:33:59,450 --> 00:34:03,390
+بأثره هذه ها تأثير أصابيع على الخشبة اللي هي
+
+458
+00:34:03,390 --> 00:34:07,050
+المفصلة هنا إذن R هي قوة المفصلة على الخشبة كمان
+
+459
+00:34:07,050 --> 00:34:13,430
+مرة أي سؤال في بالكم احكي .. حل صوتك بتضمني أن أنا
+
+460
+00:34:13,430 --> 00:34:21,650
+موفقية؟ بتضمني؟ ماتضمنيش وبالتالي انت خليها ماليش
+
+461
+00:34:21,650 --> 00:34:26,150
+خسرانةأو اكتش بتكون وفقية يا بنتي لما تكون راكزة
+
+462
+00:34:26,150 --> 00:34:30,950
+هيك لكن مشكلتها دي الخشبة ان انا مش راكزة هيك
+
+463
+00:34:30,950 --> 00:34:34,790
+وامفلتها لأ ممكن تروح هيك وممكن تروح هيك لما تروح
+
+464
+00:34:34,790 --> 00:34:40,310
+هيك بصير جزء منها راكز فبنفعش تكون هيك لإنه هذه
+
+465
+00:34:40,310 --> 00:34:43,570
+مفصلة السطح مش منتظم غيرها كيف المفصلة بتخلي
+
+466
+00:34:43,570 --> 00:34:47,470
+الخشبة تتحرك؟ زي ما هذا كيف بتخلي البابي لقلوف؟
+
+467
+00:34:48,480 --> 00:34:53,120
+انتوا غريبة بيشتغلين مفصلة يعنى كيف يعني انا كيف
+
+468
+00:34:53,120 --> 00:34:58,000
+بتحط مفصلة انا بيصورها تصويري يعنى لأ هم يا دكتور
+
+469
+00:34:58,000 --> 00:35:01,100
+مش متخيلين يشتغلوا حركة كيف هتكون و هي مفتوحة هي
+
+470
+00:35:01,100 --> 00:35:04,600
+هتطلع هي هتنزل هي كيف هتيجي الخشبة ما أنا قاعد ..
+
+471
+00:35:04,600 --> 00:35:07,260
+قاعد بفكر كيف أجيبكم إياها مش قادرة أجيب مكان
+
+472
+00:35:07,260 --> 00:35:10,040
+المفروض يجيبت مفصلة أو عملتها و حطتها على الطاولة
+
+473
+00:35:10,040 --> 00:35:12,500
+خربنا الطاولة و عملنا مفصلة و تروح و تيجي
+
+474
+00:35:18,570 --> 00:35:21,370
+إيش كمان فيه شغلات؟ يلّا اخترع كل حد في الدار و
+
+475
+00:35:21,370 --> 00:35:24,570
+إيش بيشوف شغلات بتروح ال kitchen أه بس بيديها
+
+476
+00:35:24,570 --> 00:35:27,730
+مفصلة ليست زي هيك بيديها ضبطبة يعني بشغلة انتوا
+
+477
+00:35:27,730 --> 00:35:33,770
+تودوها و تجيبوها هاي .. هاي .. هاي .. هاي .. هاي
+
+478
+00:35:33,770 --> 00:35:36,590
+.. هاي الحبة هتبقى وهي الحبة وهذه هي الخشبة
+
+479
+00:35:36,590 --> 00:35:40,230
+بتثبتها هه بدون أن تنزل بتدربطها الحبل إيش وظيفته
+
+480
+00:35:40,230 --> 00:35:43,630
+عادي؟ اه هو اللي بيخبرليه عشان تنزل هجيت على مساية
+
+481
+00:35:43,630 --> 00:35:47,520
+نزلت كيبنه يخلي هو الفطية بتدربطهالو جيت أنا خيبت
+
+482
+00:35:47,520 --> 00:35:51,780
+خيبت من هنا و ردبتها تمام؟ بتظلها واقفة ولا .. ها
+
+483
+00:35:51,780 --> 00:35:53,660
+بتظلها بطل من هنا في هذا ال .. في هذا ال .. اه
+
+484
+00:35:53,660 --> 00:35:57,720
+بتظلها واقفة تظلها واقفة طيب قاري بقى هك .. قاري
+
+485
+00:35:57,720 --> 00:36:02,580
+من قاري هك وفقيا اتسنى شوية هى هادى راجزة ولا اللى
+
+486
+00:36:02,580 --> 00:36:06,060
+بتأثر عليها المفصلة هى؟ المفصلة اللى بتأثر عليها
+
+487
+00:36:06,060 --> 00:36:10,720
+مش هادى لإن هى مش مرتبطة مباشرة بهادى مرتبطة عن
+
+488
+00:36:10,720 --> 00:36:16,440
+طريق رزاق اللى هادى رزاق اذا ..هي اللي مقفل عليها
+
+489
+00:36:16,440 --> 00:36:20,340
+بصورة مبادرة، مش الخيطة، الرزة اللي في الخيطة،
+
+490
+00:36:20,340 --> 00:36:24,640
+والرزة عشان صفحها غير مُنطَظَم، بالتالي ماببدأش
+
+491
+00:36:24,640 --> 00:36:26,980
+أقول إن هذه الخيطة اللي مقفل عليها، وبالتالي
+
+492
+00:36:26,980 --> 00:36:31,360
+عارفين إيه هي، لأ، لأن أنا عندي رزة، إذن هي مربوطة
+
+493
+00:36:31,360 --> 00:36:35,560
+بالرزة هذه اللي شايفينها، وحتشوفوا هذه عبارة عن
+
+494
+00:36:35,560 --> 00:36:41,830
+إيش، هايهاهيها يعني هذي بتخش في شغلة معينة و تلعب
+
+495
+00:36:41,830 --> 00:36:45,630
+تيجي نفس الفكرة ما هي لإن لو تشوفوا البقل، البقل
+
+496
+00:36:45,630 --> 00:36:51,410
+في حيوانة طويلة بجه هذه او هذي بتخش في شغلة يورا و
+
+497
+00:36:51,410 --> 00:36:58,230
+تلعب تيجي بالصيد مش مشكلة .. مش مشكلة .. مش مشكلة
+
+498
+00:37:02,240 --> 00:37:07,540
+بنعملها يعني تفهمتوها؟ يعني تكون .. شوفوا قيلها
+
+499
+00:37:07,540 --> 00:37:11,860
+بالظبط نيحا اللي فكت معاها .. والله بندربتك عالمات
+
+500
+00:37:11,860 --> 00:37:16,100
+دي .. عالمات دي .. عالمات دي .. شوفوا قيلتوا ..
+
+501
+00:37:16,100 --> 00:37:20,160
+هذه مفتطرة هادي بهذه السلكة، يعني هي في النهاية
+
+502
+00:37:20,160 --> 00:37:24,480
+هذه السلكة هي الركزة هذه، السلكة هذه شايفينها
+
+503
+00:37:24,480 --> 00:37:30,720
+عبارة عنده دائمية وبالتالي إيش هو العوض على هذا؟
+
+504
+00:37:30,720 --> 00:37:33,740
+هي هنا بتكون عكسها مش على الحيطة فاكسة واحدة زي
+
+505
+00:37:33,740 --> 00:37:38,680
+هذه وبالتالي الشكل بتبقى حدث مرتبط، تمام؟ إذا
+
+506
+00:37:38,680 --> 00:37:42,840
+الإنعناف الـR هي قوة هذا الـSilic على الجسم اللي
+
+507
+00:37:42,840 --> 00:37:46,620
+رايح جاي، قوة هذا الـSilic، تمام؟ طبعا الـSilic
+
+508
+00:37:46,620 --> 00:37:49,680
+هذا مرتبط بالشغل بالطفل التانية أو بالفرجة
+
+509
+00:37:49,680 --> 00:37:53,300
+التانية، شغلتانية، لكن الردب بتبقى حدث هذا
+
+510
+00:37:53,300 --> 00:37:57,200
+الـSilic، واضح؟بتجيبوا زاوية و بتقولوا R قصان
+
+511
+00:37:57,200 --> 00:38:01,480
+الزاوية او بتقولوا Rx و Ry كل واحد .. ايه اللي
+
+512
+00:38:01,480 --> 00:38:07,920
+بدكم ايه؟ انا اشعملها؟ تمام Rx و Ry طب انا .. ايه
+
+513
+00:38:07,920 --> 00:38:13,420
+هنا الرسمات مش كاملة؟ خليني اعملها Rx و Ry الآن يا
+
+514
+00:38:13,420 --> 00:38:19,220
+بنات ببدأ مجموع القوة الصينية بتساوي 0 شوف مصهلة
+
+515
+00:38:19,220 --> 00:38:27,790
+الأمور أكم قوة صينية عندكم؟ الهم؟PYXأو عكس بعد
+
+516
+00:38:27,790 --> 00:38:31,110
+واحدة موجبة والتانية سالبة فبتقول ر X ناقص T
+
+517
+00:38:31,110 --> 00:38:35,970
+كوصاني الزاوية بتساوي 0 إذا هذا المعادلة بتقول ر X
+
+518
+00:38:35,970 --> 00:38:41,270
+بتساوي T كوصاني 53 صعبة؟ إذا بعد ملايين سنة بيصير
+
+519
+00:38:41,270 --> 00:38:47,090
+الأمور كتير سهلة أكم قوة صيادية عندي أربعة واحد،
+
+520
+00:38:47,090 --> 00:38:49,550
+اتنين، تلاتة، أربعة هدولة تنين فوق و هدولة تنين
+
+521
+00:38:49,550 --> 00:38:53,710
+تحت اللي فوق بيساوي اللي تحت مش هيك؟ إذا بقول
+
+522
+00:38:53,710 --> 00:38:59,730
+أسوانبساوي R Y زي T Sine 53 بساوي 800 جمعت 600 و
+
+523
+00:38:59,730 --> 00:39:04,830
+200 600 زي 200 هى فى عيسف صالح تلان؟ بتجى ال
+
+524
+00:39:04,830 --> 00:39:11,270
+torque طبعا ال torque خلينا ناخده هنا ضيعلي R X و
+
+525
+00:39:11,270 --> 00:39:18,110
+R Y مظبوط ولا لأ ضيعلي R X و R Y طبعا
+
+526
+00:39:18,110 --> 00:39:24,510
+هنا بضيعلي بس Tهنا بضيع لبس الـ 200 هنا بضيع لبس
+
+527
+00:39:24,510 --> 00:39:27,850
+الـ 600 طبعا واحد يقولي مانفعش هنا، بقوله مانفع،
+
+528
+00:39:27,850 --> 00:39:32,390
+بس مضيع مانفعش هنا تمام؟ فانت خد هنا، ضيع لك RX
+
+529
+00:39:32,390 --> 00:39:36,650
+وRY لأن التنين مجهيج، صحيح؟ فكل ما أفضلك، طيب،
+
+530
+00:39:36,650 --> 00:39:43,110
+حلو، وين محور الدوران؟ شايفينه يعني؟ شايفينه؟ بدي
+
+531
+00:39:43,110 --> 00:39:48,950
+أجيب ال torque، RX، جديش ال torque حق؟ RY
+
+532
+00:39:50,190 --> 00:39:57,330
+T Cos 53 T Cos 53 تبعوا معاكم يا عزيزي خدوا نص
+
+533
+00:39:57,330 --> 00:40:05,090
+الجيجر فرضوا 0 مدّوها مدّوها مرة في النقطة والله
+
+534
+00:40:05,090 --> 00:40:10,590
+دي حلوة النقطة ضيعتني تلات قوةصحيح ولا لأ؟ صحيح؟
+
+535
+00:40:10,590 --> 00:40:14,230
+فى حد مش عارف انه تعمل تلاتة قوة طلع توركها Zero
+
+536
+00:40:14,230 --> 00:40:18,250
+لهادي إلها تورك ولهادي إلها تورك ولهادي إلها تورك
+
+537
+00:40:18,250 --> 00:40:24,190
+صح ولا لأ؟ طبعا؟ ضال تلاتة هادي وهادي وهادي تمام
+
+538
+00:40:24,190 --> 00:40:27,110
+مع أقارب الساعة موجب أنا هيك بحب مع أقارب الساعة
+
+539
+00:40:27,110 --> 00:40:32,570
+بحب ساعتى فمع أقارب الساعة تكون موجب تمام الستمية
+
+540
+00:40:33,890 --> 00:40:37,950
+نزلوا الخشب .. شدوها باتجاه الـ600 مع ولا ضد؟ مع
+
+541
+00:40:37,950 --> 00:40:41,030
+.. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع ..
+
+542
+00:40:41,030 --> 00:40:42,990
+مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع
+
+543
+00:40:42,990 --> 00:40:43,350
+.. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع ..
+
+544
+00:40:43,350 --> 00:40:43,770
+مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع
+
+545
+00:40:43,770 --> 00:40:43,770
+.. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع ..
+
+546
+00:40:43,770 --> 00:40:43,770
+مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع
+
+547
+00:40:43,770 --> 00:40:43,790
+.. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع ..
+
+548
+00:40:43,790 --> 00:40:43,870
+مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع
+
+549
+00:40:43,870 --> 00:40:43,870
+.. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع ..
+
+550
+00:40:43,870 --> 00:40:44,130
+مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع
+
+551
+00:40:44,130 --> 00:40:44,590
+.. مع .. مع .. مع .. مع .. مع .. مع .. مع .. مع ..
+
+552
+00:40:44,590 --> 00:40:54,990
+مع .. مع .. مع .. مع .. مع ..
+
+553
+00:40:54,990 --> 00:40:56,870
+مع ..
+
+554
+00:40:59,210 --> 00:41:03,750
+انت ماسكها من هنا و شدتي من هنا كيف تقول؟ اه هو
+
+555
+00:41:03,750 --> 00:41:07,550
+يعني مش عندنا محور دوران؟ محور دوران معروف مثلا
+
+556
+00:41:07,550 --> 00:41:10,170
+قلتلكم شايفين محور الدوران؟ اول حاجة بقولكم شايفين
+
+557
+00:41:10,170 --> 00:41:14,830
+محور الدوران؟ مهم هجد لما شد هيك هذه الخشب تنزل
+
+558
+00:41:14,830 --> 00:41:21,630
+هنا؟ طب و الميتين؟ طب ال T sign بتاعة بره صحيح؟
+
+559
+00:41:21,630 --> 00:41:29,590
+ممتاز خلص فبصيرالـ T سان ال 53 طبعا أنا بعمل زي
+
+560
+00:41:29,590 --> 00:41:33,510
+الكتاب اللي تتعقب الساعة هو الموجة قولي ازرعوا
+
+561
+00:41:33,510 --> 00:41:38,870
+قولي هاي ازرعوا المسافة دي كلها تمانية تمانية ناقص
+
+562
+00:41:38,870 --> 00:41:44,510
+ستمية في اتنين ناقص ميتين في أربعة بعد كده في حد
+
+563
+00:41:44,510 --> 00:41:49,670
+بندرس معلومات خلاص ماضلش ال calculator حاضر
+
+564
+00:41:54,050 --> 00:41:59,030
+تشتغل الـ Calculations هذه المعاريهات علماء تطلعنا
+
+565
+00:41:59,030 --> 00:42:04,150
+الـ T و بعد كده طلعنا الـ RX و طلعنا الـ RY من اتو
+
+566
+00:42:04,150 --> 00:42:08,170
+جالس أفقي اللي كانت تحكي عن الـ ON و الـ OFF لو
+
+567
+00:42:08,170 --> 00:42:11,570
+أفقي يا بنت كانت طلعت هادي معاكة Zero طلعت هادي
+
+568
+00:42:11,570 --> 00:42:18,930
+أكبر من هادي إذن هي ميلة لفوق أكتر واحدة
+
+569
+00:42:18,930 --> 00:42:25,430
+منهم قاعدين يفيهم هادي X و هادي Yهذا في خطأ مصبعي
+
+570
+00:42:25,430 --> 00:42:35,510
+تمام يا بنات هذا مثال يعني سخّن مظبوط معانا حرقنا
+
+571
+00:42:35,510 --> 00:42:41,710
+المرة الجاية بيجيب هذا المثال السلة جربوا أنت لما
+
+572
+00:42:41,710 --> 00:42:45,470
+تطلع السلة مشهور تفضح الدين يتعلم سكوني بخاف من
+
+573
+00:42:45,470 --> 00:42:50,940
+واحد لو طلع السلة طب توقعوا أنه حطته علىالمطبخ
+
+574
+00:42:50,940 --> 00:42:56,240
+دائما براطه ناعم و الله تصل الصوت لو تطلع، تبقى
+
+575
+00:42:56,240 --> 00:42:59,700
+كمية واحد يمسكه، لأنه ممكن يسحق، صحيح؟ المرة اللي
+
+576
+00:42:59,700 --> 00:43:00,280
+جاي بنحلها
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/AIJEaGTns48_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/AIJEaGTns48_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1283afe1c1e0cff8ab4888bb1b86f79aa293a08a
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/AIJEaGTns48_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 5068, "start": 21.72, "end": 50.68, "text": "بنكمل بسم الله الرحمن الرحيم بدأنا بالـ Non-uniform circular motion بعد ما أخدنا الـ Uniform circular motion قلنا إنه في الـ Uniform circular motion بتكون لـ speed constant وبالتالي الـ acceleration زي أي كل vector إحنا عندنا الـ acceleration بصورة إجمالية إنها two components", "tokens": [3555, 1863, 24793, 1211, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 47525, 10721, 8315, 20666, 39184, 8774, 12, 409, 8629, 16476, 5394, 39182, 19446, 5551, 9778, 3215, 8315, 2423, 39184, 1156, 8629, 16476, 5394, 12174, 1211, 8315, 36145, 3224, 8978, 2423, 39184, 1156, 8629, 16476, 5394, 39894, 30544, 5296, 39184, 3073, 5754, 46599, 6027, 2655, 6027, 1829, 2423, 39184, 17162, 30767, 1829, 36632, 28242, 8062, 11933, 5016, 8315, 43242, 8315, 2423, 39184, 17162, 4724, 9381, 13063, 3660, 11933, 7435, 2304, 6027, 10632, 36145, 11296, 732, 6677], "avg_logprob": -0.22313904762268066, "compression_ratio": 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6055, 5016, 1211, 1211, 14407, 46811, 10943], "avg_logprob": -0.2958026878974017, "compression_ratio": 1.5809523809523809, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1114.68, "end": 1115.02, "word": "بنفع", "probability": 0.7445068359375}, {"start": 1115.02, "end": 1115.26, "word": " تكون", "probability": 0.947021484375}, {"start": 1115.26, "end": 1115.4, "word": " هذه", "probability": 0.1990966796875}, {"start": 1115.4, "end": 1115.54, "word": " هيك", "probability": 0.7529296875}, {"start": 1115.54, "end": 1116.94, "word": " أحللها؟", "probability": 0.8182779947916666}, {"start": 1116.94, "end": 1117.54, "word": " لأ", "probability": 0.855712890625}, {"start": 1117.54, "end": 1117.88, "word": " لازم", "probability": 0.8640950520833334}, {"start": 1117.88, "end": 1117.98, "word": " هذه", "probability": 0.3681640625}, {"start": 1117.98, "end": 1118.16, "word": " تكون", "probability": 0.938720703125}, {"start": 1118.16, "end": 1118.28, "word": " في", "probability": 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ولا ممسية قسم عنها بدت اتحلل have to be resolved into a radial component and a tangential component قاللي حلل قلتله هاي MG صين الزاوية وهي MG كسين الزاوية وطيّرنا ال MG روحت", "tokens": [1829, 39648, 32239, 2423, 39184, 1737, 1772, 10686, 295, 264, 3461, 307, 4898, 8032, 47302, 2423, 39184, 1737, 1772, 10686, 46599, 6027, 2655, 6027, 1829, 36856, 575, 281, 312, 20772, 15844, 23032, 12610, 1975, 2655, 9566, 1211, 3615, 15844, 36856, 50239, 20193, 8717, 3794, 47432, 2288, 10632, 49429, 3714, 2304, 3794, 10632, 12174, 38251, 18871, 11296, 47525, 2655, 1975, 2655, 5016, 1211, 1211, 362, 281, 312, 20772, 666, 257, 38783, 6542, 293, 257, 10266, 2549, 6542, 50239, 20292, 11331, 1211, 1211, 12174, 1211, 2655, 43761, 8032, 47302, 36856, 20328, 9957, 6024, 110, 995, 2407, 10632, 37037, 1829, 36856, 9122, 3794, 9957, 6024, 110, 995, 2407, 10632, 4032, 9566, 1829, 11703, 2288, 8315, 2423, 36856, 12602, 2407, 33753], "avg_logprob": -0.28416314266495785, "compression_ratio": 1.7237354085603114, 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0.88251953125}, {"start": 1139.98, "end": 1140.5, "word": " have", "probability": 0.34716796875}, {"start": 1140.5, "end": 1140.72, "word": " to", "probability": 0.9833984375}, {"start": 1140.72, "end": 1140.9, "word": " be", "probability": 0.95361328125}, {"start": 1140.9, "end": 1141.42, "word": " resolved", "probability": 0.517578125}, {"start": 1141.42, "end": 1141.98, "word": " into", "probability": 0.763671875}, {"start": 1141.98, "end": 1142.18, "word": " a", "probability": 0.95263671875}, {"start": 1142.18, "end": 1142.5, "word": " radial", "probability": 0.97900390625}, {"start": 1142.5, "end": 1143.06, "word": " component", "probability": 0.9423828125}, {"start": 1143.06, "end": 1143.66, "word": " and", "probability": 0.931640625}, {"start": 1143.66, "end": 1143.9, "word": " a", "probability": 0.69921875}, {"start": 1143.9, "end": 1144.42, "word": " tangential", "probability": 0.98095703125}, {"start": 1144.42, "end": 1145.02, "word": " component", "probability": 0.95849609375}, {"start": 1145.02, "end": 1145.62, "word": " قاللي", "probability": 0.6856689453125}, {"start": 1145.62, "end": 1146.1, "word": " حلل", "probability": 0.9567057291666666}, {"start": 1146.1, "end": 1146.72, "word": " قلتله", "probability": 0.763671875}, {"start": 1146.72, "end": 1146.88, "word": " هاي", "probability": 0.823486328125}, {"start": 1146.88, "end": 1147.14, "word": " MG", "probability": 0.91845703125}, {"start": 1147.14, "end": 1147.42, "word": " صين", "probability": 0.5860595703125}, {"start": 1147.42, "end": 1147.88, "word": " الزاوية", "probability": 0.8931640625}, {"start": 1147.88, "end": 1148.46, "word": " وهي", "probability": 0.74951171875}, {"start": 1148.46, "end": 1148.84, "word": " MG", "probability": 0.92822265625}, {"start": 1148.84, "end": 1149.28, "word": " كسين", "probability": 0.6544596354166666}, {"start": 1149.28, "end": 1149.88, "word": " الزاوية", "probability": 0.96083984375}, {"start": 1149.88, "end": 1150.7, "word": " وطيّرنا", "probability": 0.9140625}, {"start": 1150.7, "end": 1150.82, "word": " ال", "probability": 0.8935546875}, {"start": 1150.82, "end": 1151.04, "word": " MG", "probability": 0.876953125}, {"start": 1151.04, "end": 1151.54, "word": " روحت", "probability": 0.9578450520833334}], "temperature": 1.0}, {"id": 52, "seek": 117233, "start": 1152.61, "end": 1172.33, "text": "صحيح هيك؟ خلاص رسمنا في بدء الإجراء حددت محاولي اللي هي معروفة حللت قوايا تطبخ الخانوان Fθ بساوي Ma ثيتا Fr بساوي Mar اللي هي Mv تربيع على R، بظبط ولا لأ؟ إذا انهرجت من فوق، بطل فيه شغل", "tokens": [9381, 5016, 1829, 5016, 39896, 4117, 22807, 16490, 1211, 33546, 12602, 38251, 8315, 8978, 47525, 38207, 33688, 7435, 2288, 16606, 11331, 3215, 3215, 2655, 3714, 5016, 995, 12610, 1829, 13672, 1829, 39896, 20449, 32887, 5172, 3660, 11331, 1211, 1211, 2655, 12174, 14407, 25528, 6055, 9566, 3555, 9778, 33962, 7649, 2407, 7649, 479, 9440, 4724, 3794, 995, 45865, 4042, 38637, 36081, 995, 1526, 4724, 3794, 995, 45865, 2039, 13672, 1829, 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لأ؟", "probability": 0.8333333333333334}, {"start": 1170.75, "end": 1170.95, "word": " إذا", "probability": 0.826904296875}, {"start": 1170.95, "end": 1171.33, "word": " انهرجت", "probability": 0.48138427734375}, {"start": 1171.33, "end": 1171.43, "word": " من", "probability": 0.5146484375}, {"start": 1171.43, "end": 1171.61, "word": " فوق،", "probability": 0.5619303385416666}, {"start": 1171.61, "end": 1171.85, "word": " بطل", "probability": 0.79931640625}, {"start": 1171.85, "end": 1172.01, "word": " فيه", "probability": 0.761474609375}, {"start": 1172.01, "end": 1172.33, "word": " شغل", "probability": 0.9694010416666666}], "temperature": 1.0}, {"id": 53, "seek": 120010, "start": 1173.45, "end": 1200.11, "text": "for the radial component of the acceleration we have قال لي AR بيساوي V تربيع على R، هذه سهلة تمام؟ والـR هي إيه؟ والـV أعطاني إيها، قاللي هذه جاهزة، هذي هي مديني إيها طب ال F ثيتا، ال A ثيتا sorry، ال A ثيتا قاللي تفاضل ال speed بالنسبة للزمان، مش هيك صح؟ طب قاللي هم انت اديتني ال speed عشان افاضله، اديتني صيغة، مدتنيش معادلة أفاضلها", "tokens": [2994, 264, 38783, 6542, 295, 264, 17162, 321, 362, 50239, 32239, 8943, 4724, 1829, 3794, 995, 45865, 691, 6055, 2288, 21292, 3615, 15844, 497, 12399, 29538, 8608, 3224, 37977, 46811, 10943, 22807, 16070, 39184, 49, 39896, 11933, 1829, 3224, 22807, 16070, 39184, 53, 5551, 3615, 9566, 7649, 1829, 11933, 1829, 11296, 12399, 50239, 20292, 29538, 10874, 40294, 11622, 3660, 12399, 8032, 8848, 1829, 39896, 3714, 3215, 9957, 1829, 11933, 1829, 11296, 23032, 3555, 2423, 479, 38637, 36081, 995, 12399, 2423, 316, 38637, 36081, 995, 2597, 12399, 2423, 316, 38637, 36081, 995, 50239, 20292, 6055, 5172, 46958, 1211, 2423, 3073, 20666, 1863, 35457, 3660, 24976, 11622, 2304, 7649, 12399, 37893, 39896, 4117, 20328, 5016, 22807, 23032, 3555, 50239, 20292, 8032, 2304, 16472, 2655, 1975, 16254, 2655, 22653, 2423, 3073, 6225, 8592, 7649, 1975, 5172, 46958, 43761, 12399, 1975, 16254, 2655, 22653, 20328, 1829, 17082, 3660, 12399, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..91a1b0e97fc2048cb7de10d9fedb90b0b678b3a6
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM.srt
@@ -0,0 +1,1726 @@
+1
+00:00:21,130 --> 00:00:24,330
+نسمّي بسم الله الرحمن الرحيم ونبدأ بـ Chapter 8
+
+2
+00:00:24,330 --> 00:00:30,270
+بعد ما أنهينا Chapter 7 اللي كان يعتبر من الشباتر
+
+3
+00:00:30,270 --> 00:00:34,030
+المهمة، الآن Chapter 7 عنوانه
+
+4
+00:00:36,580 --> 00:00:42,880
+Chapter 8 عنوانه Systems of Particles نتعلم كيف
+
+5
+00:00:42,880 --> 00:00:46,360
+نتعامل مع الـ system ككل لما يكون في عندي system
+
+6
+00:00:46,360 --> 00:00:52,000
+متكون من أكثر من particle و أتعامل معه كـ system
+
+7
+00:00:52,000 --> 00:00:57,470
+كامل كـ one system وبالتالي إله بعض المفاهيم
+
+8
+00:00:57,470 --> 00:01:02,550
+والقوانين اللي خاصة بيه أول حاجة بدنا نناقشها هي
+
+9
+00:01:02,550 --> 00:01:06,830
+الـ center of mass احنا في الشباتر الماضية كنا لما
+
+10
+00:01:06,830 --> 00:01:11,430
+نقول في عندي كتلة ونقول وزنها لما يكون في عندي
+
+11
+00:01:11,430 --> 00:01:16,130
+كتلها كتلة زي هيك نقول وزنها هيك مظبوط ولا لأ مجي
+
+12
+00:01:16,680 --> 00:01:22,940
+تمام؟ لما تكون الكتلة كبيرة Mg وين بالظبط بتتأثر؟
+
+13
+00:01:22,940 --> 00:01:26,320
+بتتأثر على نقطة معينة هذه الكتلة نقول الكتلة
+
+14
+00:01:26,320 --> 00:01:31,680
+السابقة كتلة صغيرة كحجم تمام؟ بغض النظر عن جدش
+
+15
+00:01:31,680 --> 00:01:35,420
+مقدار الكتلة لكن حجمها صغير لما يكون مثلا عندي أنا
+
+16
+00:01:35,420 --> 00:01:39,340
+والله هذا الجسم بدي أنا أرسم فيه body diagram
+
+17
+00:01:39,340 --> 00:01:44,840
+وأرسم وزنه احنا متفقين MG لأسفل طب وين أحطها
+
+18
+00:01:44,840 --> 00:01:48,620
+بالظبط؟ أحطها عند الطرف هذا؟ و لا عند الطرف هذا؟ و
+
+19
+00:01:48,620 --> 00:01:52,680
+لا في النص بالظبط؟ طب هل النص دائماً بيكون هو الصح؟
+
+20
+00:01:52,680 --> 00:01:57,180
+لما يكون الشكل مش منتظم بيبطل النص طيب إذا معناته
+
+21
+00:01:57,180 --> 00:02:01,960
+و بدي أحطها عند نقطة معينة هذه النقطة تسمى مركز
+
+22
+00:02:01,960 --> 00:02:06,920
+الثقل اللي هي الـ center of mass ليه؟ بحيث أنه لما
+
+23
+00:02:06,920 --> 00:02:13,070
+أعلّجها من هذه النقطة الجسم يتزن هذه النقطة تسمى الـ
+
+24
+00:02:13,070 --> 00:02:16,650
+Center of Mass أو الـ Center of Gravity كيف
+
+25
+00:02:16,650 --> 00:02:21,830
+أحسبها؟ الآن نتعلم كيف نحسبها ليش؟ لأن و كأنه ..
+
+26
+00:02:21,830 --> 00:02:24,430
+إيش الـ Center of Mass؟ يقول لي معناته هذا كله
+
+27
+00:02:24,430 --> 00:02:29,530
+الصمار إنسا و تعامل معها و كأنها نقطة و بتتعامل
+
+28
+00:02:29,530 --> 00:02:32,870
+معها على هذه الأساس هذه النقطة هي اللي هسميها الـ
+
+29
+00:02:32,870 --> 00:02:39,750
+Center of Mass The center of mass كمفهوم لغوي أو
+
+30
+00:02:39,750 --> 00:02:44,230
+معنوي كمعناه The center of mass of a system of
+
+31
+00:02:44,230 --> 00:02:47,970
+particles طبعا الـ center of mass بيكون مش لجسم
+
+32
+00:02:47,970 --> 00:02:52,430
+واحد، عدة أجسام، عندي أكثر من جسم، يعني أنتم، ممكن
+
+33
+00:02:52,430 --> 00:02:54,830
+نجيبكم الـ center of mass لكم، أنتم كـ system
+
+34
+00:02:54,830 --> 00:03:00,150
+متكونين من أكثر من particle، تمام؟ of a rigid body
+
+35
+00:03:00,150 --> 00:03:03,350
+الـ rigid body هو الجسم اللي زي الجلم اللي زي هذا
+
+36
+00:03:03,350 --> 00:03:08,310
+الجسم جامد ايش معناته إنه المسافة بين أي نقطتين
+
+37
+00:03:08,310 --> 00:03:12,430
+بتبقى ثابتة هاي بيسموه الـ rigid .. rigid يعني جامد
+
+38
+00:03:12,430 --> 00:03:16,950
+أو جاسق زي ما حكيته it's the point إذا هذا الـ
+
+39
+00:03:16,950 --> 00:03:19,790
+center of mass إيش تعريفها؟ point طب و الـ point
+
+40
+00:03:19,790 --> 00:03:24,330
+أنا كيف بعرفها؟ كيف بتكون لو أنا أديكم شغلة و
+
+41
+00:03:24,330 --> 00:03:28,330
+بيكتسموني نقطة، إيش بتكون مني عشان ترسمي النقطة؟
+
+42
+00:03:28,330 --> 00:03:32,390
+إحداثياتها إذا أنا أي نقطة بدي أعرفها بإحداثياتها
+
+43
+00:03:32,990 --> 00:03:37,970
+إذا الـ Center of Mass هو نقطة يا بنات، يحتاج
+
+44
+00:03:37,970 --> 00:03:41,970
+إحداثيات، إذا عرفت إحداثيات وعرفت النقطة، is the
+
+45
+00:03:41,970 --> 00:03:46,850
+point at which all of the mass are considered to
+
+46
+00:03:46,850 --> 00:03:50,670
+be concentrated there، اللي بيتعتبر كل الكتلة
+
+47
+00:03:50,670 --> 00:03:55,360
+مركزة عند النقطة الفلانية، هذا وزنه خليني أقول
+
+48
+00:03:55,360 --> 00:04:00,600
+مليجرام مليجرام متركزين في هذه النقطة مع أن
+
+49
+00:04:00,600 --> 00:04:07,630
+المليجرام هنا فيه وهنا فيه وهنا فيه تمام و جميع
+
+50
+00:04:07,630 --> 00:04:11,490
+القوة الخارجية اللي بتأثر بتأثر عند هذه النقطة مثل
+
+51
+00:04:11,490 --> 00:04:15,590
+الوزن الوزن قوة خارجية وين بتأثر عند النقطة هذه؟
+
+52
+00:04:15,590 --> 00:04:19,710
+لما أقول والله أنا ضغطها بقوة زيك وين بدغط هذه
+
+53
+00:04:19,710 --> 00:04:23,750
+القوة عند النقطة هذه؟ وكأنني بأستعيد عن هذا الجسم
+
+54
+00:04:23,750 --> 00:04:29,830
+بهذه النقطة فقط تمام و جميع القوات الخارجية تم
+
+55
+00:04:29,830 --> 00:04:35,040
+تطبيق عليها هنا الآن كيف بدي أحسبها؟ بقولها
+
+56
+00:04:35,040 --> 00:04:38,780
+consider a system of two masses نبدأ بكتلتين صغار
+
+57
+00:04:38,780 --> 00:04:43,500
+consider a system of two masses M1 and M2 located
+
+58
+00:04:43,500 --> 00:04:47,780
+along the x-axis as shown في عند كتلتين هاي M1 و
+
+59
+00:04:47,780 --> 00:04:52,560
+هاي M2 حاططهم أنا جنب بعض على الـ X-axis و بدي أجيب
+
+60
+00:04:52,560 --> 00:04:56,060
+الـ center of mass لهم يعني بدي أجيب هدول كتلتين و
+
+61
+00:04:56,060 --> 00:05:01,440
+أستعيد عنهم بنقطة الكتلة الكلية اللي هي M1 زي M2
+
+62
+00:05:01,440 --> 00:05:05,410
+محطوطة هناك تمام؟ consider a system of two masses
+
+63
+00:05:05,410 --> 00:05:10,230
+m1 and m2 located along the x-axis the position x
+
+64
+00:05:10,230 --> 00:05:16,310
+center of mass هذا هو إحداثي النقطة of the center
+
+65
+00:05:16,310 --> 00:05:21,970
+of mass SM هو اختصار center of mass of the center
+
+66
+00:05:21,970 --> 00:05:24,850
+of mass of these two masses is defined to be ..
+
+67
+00:05:24,850 --> 00:05:30,070
+تعريفه يقول كيف تجيبها؟ يقول اضرب الكتلة الأولى في
+
+68
+00:05:30,070 --> 00:05:33,710
+إحداثيها زي الكتلة الثانية في إحداثيها
+
+69
+00:05:33,710 --> 00:05:41,150
+زي على مجموع الكتلة لأ على M1 زي M2 M1 زي M2
+
+70
+00:05:41,150 --> 00:05:46,730
+بيمثل الكتلة الكلية ولا لأ هذا كتلة كلية تمام و بنبدأ
+
+71
+00:05:46,730 --> 00:05:51,570
+.. طيب لو كان في عندك y center of mass بنفس القضية
+
+72
+00:05:51,570 --> 00:05:56,670
+بنعملها for a system هدول بس كتلتين .. كتلتين طب
+
+73
+00:05:56,670 --> 00:06:00,570
+لو عندي ثلاثة إيش بتتوقعي ذي؟ مش بقول زائد ام
+
+74
+00:06:00,570 --> 00:06:04,590
+ثلاثة اكس ثلاثة على مين زائد ام ثلاثة عندي عشرة، إن
+
+75
+00:06:04,590 --> 00:06:07,150
+شاء الله عندي مليون، إن شاء الله عندي مئة مليون،
+
+76
+00:06:07,150 --> 00:06:11,730
+بضني أمشي بهذا الشكل For a system of N particles،
+
+77
+00:06:11,730 --> 00:06:15,930
+الـ N ده اللي بدكم إياه هي تنين، مية، مليون، بدكم
+
+78
+00:06:15,930 --> 00:06:21,230
+ماشيين M1، M2، M3، M4، M5، لما تصلوا للآخر، تمام؟
+
+79
+00:06:21,230 --> 00:06:26,970
+The center of mass is M1 X 1 زائد M2 X 2 زائد زائد
+
+80
+00:06:26,970 --> 00:06:30,950
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+81
+00:06:30,950 --> 00:06:30,990
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+82
+00:06:30,990 --> 00:06:31,310
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+83
+00:06:31,310 --> 00:06:34,500
+زائد زائد زائد عشان لما أكون عندي عدد كبير مضطر
+
+84
+00:06:34,500 --> 00:06:40,020
+إني أعد راحوا طلعوا رياضيات قالوا بنكتب هذا الـ
+
+85
+00:06:40,020 --> 00:06:45,520
+sigma اللي هي المجموعة هدول المجموعة كلهم بطلعوا
+
+86
+00:06:45,520 --> 00:06:49,280
+capital M الـ total mass فهذه الـ capital M طلعتها
+
+87
+00:06:49,280 --> 00:06:55,410
+برا وهذه الرمز اللي بنتعامل معاه M I X I وهذه I
+
+88
+00:06:55,410 --> 00:06:59,390
+مشتقة شابتر واحد الـ I و الـ J و الـ K لأ مالهاش دعوة
+
+89
+00:06:59,390 --> 00:07:04,830
+يعني هذا رمز بسميه عداد بعدد I مرة بحط واحد مرة
+
+90
+00:07:04,830 --> 00:07:09,010
+اثنين مرة ثلاثة و هكذا بضني I أمشي فيه إذا هذا لو
+
+91
+00:07:09,010 --> 00:07:13,670
+أجي أفك هذا الـ summation إيش بيصير M 1 X 1 زائد M
+
+92
+00:07:13,670 --> 00:07:18,270
+2 X 2 زائد M 3 X 3 زائد بضني أمشي لما أصل الـ M
+
+93
+00:07:18,270 --> 00:07:23,240
+تمام هيك؟ فهيك تكتب بعد ما نكتبها زائد زائد زائد
+
+94
+00:07:23,240 --> 00:07:30,720
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+95
+00:07:30,720 --> 00:07:30,760
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+96
+00:07:30,760 --> 00:07:30,800
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+97
+00:07:30,800 --> 00:07:31,240
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+98
+00:07:31,240 --> 00:07:31,340
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+99
+00:07:31,340 --> 00:07:32,820
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+100
+00:07:32,820 --> 00:07:38,730
+زائد زائد زائد زائد زائد زائد زائد المقام M مجموعة
+
+101
+00:07:38,730 --> 00:07:46,090
+كلها M1 M2 Mn مجموعة
+
+102
+00:07:46,090 --> 00:07:48,510
+كلها M1 M2 Mn مجموعة كلها M1 M2 Mn مجموعة كلها M1
+
+103
+00:07:48,510 --> 00:07:48,570
+M2 Mn مجموعة كلها M1 M2 Mn مجموعة كلها M1 M2 Mn
+
+104
+00:07:48,570 --> 00:07:48,710
+مجموعة كلها M1 M2 Mn مجموعة كلها M1 M2 Mn مجموعة
+
+105
+00:07:48,710 --> 00:07:49,670
+M2 Mn مجموعة كلها M1 M2 MN مجموعة كلها M1 M2 MN
+
+106
+00:07:49,670 --> 00:07:51,380
+مجموعة كلها M1 M2 MN مجموعة كلها M إذا كانت الكتل
+
+107
+00:07:51,380 --> 00:07:55,320
+مستعملة في ثلاث مقاطع أنا حاططهم على الـ x-axis لو
+
+108
+00:07:55,320 --> 00:07:58,300
+أنا حاططهم .. مش على الـ x-axis حاطط واحد هنا و
+
+109
+00:07:58,300 --> 00:08:01,660
+واحد هنا ساعتها بيكون الـ center of mass في x و في
+
+110
+00:08:01,660 --> 00:08:06,360
+y تمام؟ و لو كان في الفراغ في x و في y و في z إذا
+
+111
+00:08:06,360 --> 00:08:10,540
+كان الـ system بصورة إجمالية موزع بالـ three
+
+112
+00:08:10,540 --> 00:08:15,000
+dimensions يعني موزعين للنقاط واحدة هنا و واحدة
+
+113
+00:08:15,000 --> 00:08:17,220
+هنا و واحدة في الفراغ هنا و واحدة هنا وبالتالي
+
+114
+00:08:17,220 --> 00:08:21,860
+عندي three dimensions الـ Y و الـ Z كإحداثيات من
+
+115
+00:08:21,860 --> 00:08:25,800
+مركز الكتلة هي بمثلًا مفهومة من Y مركز الكتلة
+
+116
+00:08:25,800 --> 00:08:33,130
+واحدة على الكتلة الكلية في M I Y I M 1 Y 1 زي M 2 Y
+
+117
+00:08:33,130 --> 00:08:37,030
+2 زي M 3 Y 3 و هكذا لما أخلص عدد كل الكتل اللي
+
+118
+00:08:37,030 --> 00:08:41,250
+عندي و الـ Z نفس القضية Z center of mass بالساعة
+
+119
+00:08:41,250 --> 00:08:45,990
+واحدة على الكتلة الكلية M 1 زي 1 زي M 2 زي 2 طبعا
+
+120
+00:08:45,990 --> 00:08:49,270
+لما يقولي الكتلة المحتوطة كل واحدة إحداثيها
+
+121
+00:08:49,270 --> 00:08:55,650
+كمعلومة وبالتالي سهل أجيبها فالعميلة كتير سهلة بقولي
+
+122
+00:08:55,650 --> 00:08:59,130
+in vector notation أنت في الآخر ده تجيب موضع نقطة
+
+123
+00:08:59,130 --> 00:09:03,230
+هذه بتحطلها الـ vector و الـ vector احنا كلنا عارفين
+
+124
+00:09:03,230 --> 00:09:09,250
+أي vector بكتبه ثلاث مركبات X Y و Z و بالتالي as a
+
+125
+00:09:09,250 --> 00:09:12,350
+vector .. the position vector of the center of
+
+126
+00:09:12,350 --> 00:09:15,950
+mass اللي بدي اسميه R center of mass can be
+
+127
+00:09:15,950 --> 00:09:18,470
+expressed as R center of mass بتساوي X center of
+
+128
+00:09:18,470 --> 00:09:22,190
+mass باتجاه I Y center of mass باتجاه J زي الـ Z
+
+129
+00:09:22,190 --> 00:09:25,290
+center of mass باتجاه K ليش؟ لأن احنا بنعرف أن A
+
+130
+00:09:25,290 --> 00:09:32,410
+بتساوي AXI زي AYJ زي AZK مش هذا عارفين احنا من
+
+131
+00:09:32,410 --> 00:09:37,630
+أول ولا لأ تمام هادي فيكتور هادي فيكتور المركبة
+
+132
+00:09:37,630 --> 00:09:41,010
+السينية X Center of Mass المركبة الصادية Y
+
+133
+00:09:41,010 --> 00:09:44,610
+Center of Mass المركبة العينية Z Center of Mass
+
+134
+00:09:44,610 --> 00:09:54,310
+و هكذا هذه شغلات بسيطة R Center of Mass ما هي هذه
+
+135
+00:09:54,310 --> 00:09:57,950
+عبارة عن MIRI لو أتعامل معها
+
+136
+00:10:01,340 --> 00:10:05,980
+طيب، جالي هدف فهمتها، عندي كتلتين، عندي ثلاث،
+
+137
+00:10:05,980 --> 00:10:10,360
+عندي أربع، بعدها بمشي و بضني أم واحد في X واحد و أم
+
+138
+00:10:10,360 --> 00:10:14,580
+اثنين في X اثنين و هكذا طب هذا الجلم، بدأ يجيب الـ
+
+139
+00:10:14,580 --> 00:10:19,920
+center of mass يجيب بتاعنا كده أكثر كتلة هو هذا؟
+
+140
+00:10:19,920 --> 00:10:24,900
+لا والله ما هو واحد طب وين الـ position الـ center
+
+141
+00:10:24,900 --> 00:10:30,530
+of mass بحقّه؟ في النص؟ مش صحيح تكون في النص، إذا هي
+
+142
+00:10:30,530 --> 00:10:34,890
+اختلفنا، إذا هذا مش كتلة واحدة، تمام؟ هذا الباب،
+
+143
+00:10:34,890 --> 00:10:37,370
+كيف ده يجيب الـ center of mass تبعته؟ أو هذا الـ
+
+144
+00:10:37,370 --> 00:10:39,690
+كمبيوتر، الـ lab، كيف ده يجيب الـ center of mass
+
+145
+00:10:39,690 --> 00:10:46,250
+تبعته؟ بتخليه أجزاء، سهل الأجزاء يا بنات، في حد
+
+146
+00:10:46,250 --> 00:10:51,600
+عارف الشفرة ولا المجاص؟ المجاص ولا المنشار ولا ما
+
+147
+00:10:51,600 --> 00:10:55,360
+بدكم إياه حقيقة أنا لو جبت أنا منشار ولا مجاص ولا
+
+148
+00:10:55,360 --> 00:11:00,280
+شفرة ولا مناشط بقدر هذا جسمه لـ 200 جزء؟ أه مافيش
+
+149
+00:11:00,280 --> 00:11:03,680
+أسهل منها بس يكون عندكم طول تروحوا و تجدّسوا بس ممكن
+
+150
+00:11:03,680 --> 00:11:08,440
+أسمّه لكتلة N لأ كتلة كبيرة ليش أنا بدي 200 و 300
+
+151
+00:11:08,440 --> 00:11:13,920
+عشان كل جزء تعتبريه كأنه نقطة كل جزء هل ممكن نعتبر
+
+152
+00:11:13,920 --> 00:11:18,200
+الكتلة N نقطة؟ لأ هو هذا اتفقنا هذا ممكن تخليه
+
+153
+00:11:18,200 --> 00:11:23,090
+نقطة هذا لحاله يقدّر اختلافنا، ما تقولنا لأ مش نقطة،
+
+154
+00:11:23,090 --> 00:11:26,910
+صح؟ حجم نصّه برضه مش نقطة، أنا ايش .. ايش تعريف
+
+155
+00:11:26,910 --> 00:11:31,850
+النقطة يا بنات؟ حجمها؟ Zero تقريبا، يقربوني إلى
+
+156
+00:11:31,850 --> 00:11:36,910
+Zero، إذا أنا بديها صغيرة، صغيرة خالص، بقولي هذا،
+
+157
+00:11:36,910 --> 00:11:40,690
+اعمله مئة جزء يا ستي، بكفي مئة، بلاش مئتين، بلاش
+
+158
+00:11:40,690 --> 00:11:44,750
+ناخد وقتك كتير، بتعمله مئة جزء، تمام؟ إذا نصاروا
+
+159
+00:11:44,750 --> 00:11:50,420
+أكيد إنه عندي مئة كتلة، صح؟ كل واحدة منهم إحداثيتها
+
+160
+00:11:50,420 --> 00:11:54,000
+بعرفها لأن إذا كان هذه بالاعتبار هنا اللي وراها
+
+161
+00:11:54,000 --> 00:11:58,280
+جنبها مصفوفة و هكذا لما خلص تمام طيب في الآخر بدأت
+
+162
+00:11:58,280 --> 00:12:01,540
+تجمعهم صح ولا لأ طيب بدأت تجمعهم احنا اختلفنا مليون
+
+163
+00:12:01,540 --> 00:12:05,240
+ولا مئتين طب يمكن يكونوا مليون كيف بدأت تجمع؟ قالوا
+
+164
+00:12:05,240 --> 00:12:08,560
+طبعا رياضيات سهلة و عالية هذه القضية كتير قال لما
+
+165
+00:12:08,560 --> 00:12:13,940
+يكون عندك عدد كبير و بدأت تيجي تجمع ايه سوية؟ تكامل
+
+166
+00:12:14,500 --> 00:12:22,620
+تكامل تمام واحنا متفقين إنه هذا وهذا أخوه نفس
+
+167
+00:12:22,620 --> 00:12:32,850
+الموضوع تمام إذا طيب الشيء هذا م أي الشيء يعني M1
+
+168
+00:12:32,850 --> 00:12:37,690
+أو M2 أو M3 أو M4 جزء من الـ system أو لا؟ جزء من
+
+169
+00:12:37,690 --> 00:12:41,010
+الـ system أنا هادي لما جبت لم قصّيته قصّيته قصّيته
+
+170
+00:12:41,010 --> 00:12:49,490
+بقدر أقول أي
+
+216
+00:16:29,430 --> 00:16:32,990
+سهلين بيبقى كنا بنعرف نعدهم وهي ما شاء الله عليهم
+
+217
+00:16:32,990 --> 00:16:37,250
+أصفر و أحمر و أحمر و ملونين و مبينين تمام three
+
+218
+00:16:37,250 --> 00:16:42,990
+particles of masses M1 بتساوي one kilogram هذه هاي
+
+219
+00:16:42,990 --> 00:16:48,790
+M1 الحمرا M2 equal two kilogram الصفراء and M3
+
+220
+00:16:48,790 --> 00:16:51,510
+equal three kilogram اللي هي الخضراء مبينين عنكم
+
+221
+00:16:51,510 --> 00:16:55,090
+ولا لأ هلاقي في أي حد بتغلب يجيب إحداثيات أي واحدة
+
+222
+00:16:55,090 --> 00:17:01,690
+منهم M1 إحداثياتها صفر و واحد التانية واحد و صفر
+
+223
+00:17:01,690 --> 00:17:05,450
+والتالتة أربعة و صفر إذا الإحداثيات دي للجميع
+
+224
+00:17:05,450 --> 00:17:11,880
+معروفة تماما إذا تقول لي أنا موجود ومظهر في الفيجارة،
+
+225
+00:17:11,880 --> 00:17:16,680
+فانتج مركز كمية هذا السيستيم بدي مركز كمية، بدي X
+
+226
+00:17:16,680 --> 00:17:20,540
+مركز كمية و بدي Y مركز كمية، لأن هم على X وY فقط
+
+227
+00:17:22,250 --> 00:17:26,490
+يلا الـ X component of the center of mass هي قلوني
+
+228
+00:17:26,490 --> 00:17:34,510
+الـ summation 1 و 2 و 3 اذا M1 X1 زائد M2 X2 زائد M3
+
+229
+00:17:34,510 --> 00:17:41,750
+X3 على مجموع الكتل بسم الله نخلص من المقاطع اجمعوهم
+
+230
+00:17:41,750 --> 00:17:44,210
+1 و 2 فترة
+
+231
+00:17:46,850 --> 00:17:53,470
+سهلين طيب نبدأ الحمراء الأولى قديش ساعتها؟ إذا
+
+232
+00:17:53,470 --> 00:18:02,210
+واحد في صفر صفر زائد التانية اثنين في واحد اثنين
+
+233
+00:18:02,210 --> 00:18:08,490
+زائد ثلاثة في صفر صفر خلاص إذا نمحوه ونكتب
+
+234
+00:18:08,490 --> 00:18:14,630
+الكلام اللي حكيناه هقول لي واحد في صفر زائد اثنين
+
+235
+00:18:14,630 --> 00:18:19,110
+في واحد زائد ثلاثة في أربعة فطلعت 12 و 2
+
+236
+00:18:19,110 --> 00:18:22,670
+14 على 6 اللي هي بتساوي 2.3 اللي هي
+
+237
+00:18:22,670 --> 00:18:25,950
+بتساوي 2 و ثلث صحيح ولا لأ 2 و ثلث يعني
+
+238
+00:18:25,950 --> 00:18:30,630
+two point three three متر يعني الإحداثي تقريبا هنا
+
+239
+00:18:30,630 --> 00:18:35,270
+الصيني لسه عم نجيب الصادي صحيح ولا لأ جبنا نجيب
+
+240
+00:18:35,270 --> 00:18:40,510
+الصادي Y center of mass واحد في Y واحد زائد اثنين في Y اثنين زائد
+
+241
+00:18:40,510 --> 00:18:43,450
+اثنين في Y اثنين زائد ثلاثة في Y ثلاثة على
+
+242
+00:18:43,450 --> 00:18:50,510
+مجموع الكتل هذه هي نفس الستة صحيح نيجي قديش Y
+
+243
+00:18:50,510 --> 00:18:56,510
+للحمراء و اثنين فوق هذه الكلمة مش مبينة قديش واي
+
+244
+00:18:56,510 --> 00:19:02,950
+للصخرة و واي للخضرة؟ هذا أسهل حلو؟ واحد في اثنين
+
+245
+00:19:02,950 --> 00:19:07,310
+زائد اثنين في صفر زائد ثلاثة في صفر اثنين على ستة ثلث
+
+246
+00:19:07,310 --> 00:19:13,630
+تمام خلصت بقدر أحدد النقطة لو بدي ارسمها اه هاي
+
+247
+00:19:13,630 --> 00:19:16,930
+واحد هاي اثنين و هين هاين إن هاي ال center of mass
+
+248
+00:19:16,930 --> 00:19:21,250
+النقطة الزرقاء هادي لو علقت فيها منها الزرقاء خلاص
+
+249
+00:19:21,250 --> 00:19:24,950
+بتبتزن الثلاث كتل بستعيد عن الثلاث كتل بالنقطة
+
+250
+00:19:24,950 --> 00:19:30,440
+الزرقاء وبصير Mg لها من هنا صح ولا لأ بتتعلب سهلة
+
+251
+00:19:30,440 --> 00:19:34,860
+العملية Fixed center of mass إن شاء الله جيب لي 6
+
+252
+00:19:34,860 --> 00:19:38,980
+كتر أو 7 كتر بس كل ما كترت الكتل كل ما طول السؤال
+
+253
+00:19:38,980 --> 00:19:44,640
+صح ولا لأ؟ لكن ما فيش أي trick في السؤال تمام هذه
+
+254
+00:19:44,640 --> 00:19:49,500
+سهلة طبعا جبت R center of mass السين حطيه جنبها I
+
+255
+00:19:49,500 --> 00:19:54,940
+والصاد حطيه جنبها J وسلام ما فيش أي مشكلة عشان تمام
+
+256
+00:19:54,940 --> 00:20:00,150
+بقول لي الآن لو هذا منتظم تماما هو ش .. ما فيش له
+
+257
+00:20:00,150 --> 00:20:03,990
+مكان أخميله .. مكان يرفيعه تتوقع ال center of mass
+
+258
+00:20:03,990 --> 00:20:07,130
+بتاعته وين تكون؟ بالنص .. بالنص .. إذا كان منتظم
+
+259
+00:20:07,130 --> 00:20:10,650
+.. اه بيقول show that the center of mass of a
+
+260
+00:20:10,650 --> 00:20:15,990
+uniform rod عندك سلكة أو حديدة uniform يعني ما فيش
+
+261
+00:20:15,990 --> 00:20:19,370
+ولا منطقة أخميله ولا منطقة رفيعة زي مصطرة بدون
+
+262
+00:20:19,370 --> 00:20:23,670
+الخروج تبعها طبعا مصطرة هيك .. بدها تكون في النص
+
+263
+00:20:23,670 --> 00:20:26,150
+يعني ما برضه المصطرة مرات بتكون من ناحية رفيعة أو من
+
+264
+00:20:26,150 --> 00:20:29,970
+ناحية حميلة هذه بالقاطع ال uniform لا بدنياها يعني
+
+265
+00:20:29,970 --> 00:20:37,190
+منتظمة تماما of mass capital M وطولها L اثبت أنها
+
+266
+00:20:37,190 --> 00:20:40,410
+lies midway between its ends اثبت أنا بساوم في
+
+267
+00:20:40,410 --> 00:20:46,050
+النص بالظبط بقول حاجة نرسمها هذه الزرقاء تشاهدونها؟
+
+268
+00:20:46,050 --> 00:20:49,830
+هذه هي الرد الـ Uniform طبعا موضح من الرسم لا في
+
+269
+00:20:49,830 --> 00:20:54,190
+منطقة خميلة ولا منطقة رفعة كلها مصطرة واحدة زي ما
+
+270
+00:20:54,190 --> 00:20:59,390
+بنسميها بإنفع أطبق هذه القانون واحد على كابتن M
+
+271
+00:20:59,390 --> 00:21:04,630
+summation mi xi ولا واحد على كابتن M تكامل DM X
+
+272
+00:21:04,630 --> 00:21:10,330
+التكامل لأن هذه أكمل كتلة ما أعرفش احنا بنختلف عليها
+
+273
+00:21:10,330 --> 00:21:14,870
+قال لي طيب هي دي هي إيه يعني؟ قال لي أول حاجة
+
+274
+00:21:14,870 --> 00:21:18,670
+تعملها تجيب لي هذا .. إيش هذا اللي متفقين عليه؟ الـ DM؟
+
+275
+00:21:18,670 --> 00:21:22,010
+الـ Geoscope .. طب هذا الـ Geoscope كم بتختاره؟
+
+276
+00:21:22,010 --> 00:21:25,930
+أنت حُب .. أنت بتختاره .. و لازم تكون عشوائي ..
+
+277
+00:21:25,930 --> 00:21:30,050
+تمام؟ إذا أنت بتختار الـ DM وأنت لهكده أسئلة ..
+
+278
+00:21:30,050 --> 00:21:32,790
+تمام .. بيقول لي let the rod be located along the
+
+279
+00:21:32,790 --> 00:21:37,510
+X axis ما هي الرسمان بينا .. صدد .. ما فيش لا Y ولا
+
+280
+00:21:37,510 --> 00:21:42,420
+في Z .. ما فيش عندي إلا X .. حلو هيطوله L ..let us
+
+281
+00:21:42,420 --> 00:21:47,380
+take a small element of mass دي M بدي اخذ عنصر
+
+282
+00:21:47,380 --> 00:21:50,580
+عنصر اللي أنا بدي آخده أنا وياكم بدي ناخده عنصر
+
+283
+00:21:50,580 --> 00:21:54,740
+صغير تمام طبعا واحد بيقول لي وين عنصر؟ بقول لي خده هنا
+
+284
+00:21:54,740 --> 00:21:58,780
+خد هنا خد هنا وين ما بدك خد تمام خلينا أنا أشوف
+
+285
+00:21:58,780 --> 00:22:05,480
+إيه و أنا اخذته هدا هو الأحمر شايفينه طبعا هو
+
+286
+00:22:05,480 --> 00:22:08,560
+رفيع بس واحد بيكبره عشان تشوفوه المفروض يكون صغير
+
+287
+00:22:08,560 --> 00:22:13,900
+عشان يكون وكأنه نقطة حلو هذا اللي أنت اخذته بيبعد
+
+288
+00:22:13,900 --> 00:22:21,100
+عن محور ال X خلّيني أنا .. هذه المسافة هذه X هذه
+
+289
+00:22:21,100 --> 00:22:28,780
+كتلته DM طوله DX صح ولا لأ؟ لأن كلكم بتعرفوا في
+
+290
+00:22:28,780 --> 00:22:38,720
+التفاضل اخذته إنه لو كانت هذه X هذه X زائد Delta X
+
+291
+00:22:40,970 --> 00:22:48,130
+مش هيك الصورة؟ نسبة اللي امتوا؟ اخذتوها؟ بالتالي
+
+292
+00:22:48,130 --> 00:22:54,350
+الطول بتساوي DX لأنه أنا بتغير من هال لهال من نقطة
+
+293
+00:22:54,350 --> 00:22:58,510
+لنقطة إذا كانت هال DX واحد هذه بتصير X واحد زي ال
+
+294
+00:22:58,510 --> 00:23:09,900
+DX مظبوط ولا لأ؟ والله مظبوط احنا حاجات خليناها هذه
+
+295
+00:23:09,900 --> 00:23:17,280
+نقطة وهذه نقطة تمام؟ هلاقي .. هذه خلينا نقول عنها X1
+
+296
+00:23:17,280 --> 00:23:22,920
+موقعها التانية أقل ولا أكثر؟ أكثر أكثر طب أكثر
+
+297
+00:23:22,920 --> 00:23:27,140
+كتير؟ لأنها جريبة منها طيب ليش بينهم هذه اللي أنا
+
+298
+00:23:27,140 --> 00:23:33,240
+سميته DX؟ بقدر أقول هذه هي عبارة عن X1 زائد DX ولا
+
+299
+00:23:33,240 --> 00:23:41,300
+لأ؟ زواطات؟ هذه هي فهذا الطول بسميه أنا DX هو ال
+
+300
+00:23:41,300 --> 00:23:44,280
+increment هو الزيادة increment اخذتوها كلمة
+
+301
+00:23:44,280 --> 00:23:48,020
+increment في ال calculus الزيادة هو الزيادة اللي
+
+302
+00:23:48,020 --> 00:23:54,080
+صارت على ال X يعني هي increment معناها دي طب هي
+
+303
+00:23:54,080 --> 00:23:58,160
+إيش هي اسمها؟ مثلا increment ما اخذتوها إيش ما هو
+
+304
+00:23:58,160 --> 00:24:03,030
+اسمها يعني دلتها دي رمزها التغير .. زيادة .. إيش
+
+305
+00:24:03,030 --> 00:24:06,990
+التغير؟ زيادة .. أو نقص .. ما هو إيه التغير الـ
+
+306
+00:24:06,990 --> 00:24:09,850
+delta هذه ممكن تكون كبيرة أو ممكن تكون صغيرة لكن
+
+307
+00:24:09,850 --> 00:24:14,870
+الـ D لازم تكون صغيرة يعني هذه delta تقول إلى الصفر
+
+308
+00:24:14,870 --> 00:24:20,050
+إيش بيصير؟ تؤول إلى الصفر .. بيصير DX هي رمزها
+
+309
+00:24:20,050 --> 00:24:25,860
+طبعا تكون صغيرة خالص .. حلو جالي الآن أنت DM تبعتك
+
+310
+00:24:25,860 --> 00:24:30,540
+عرفتها و X تبعتك إن عرفتها ما زال حددت العنصر عرفت
+
+311
+00:24:30,540 --> 00:24:34,780
+X اللي هو الإحداثي اللي تبع العنصر جالي هات قيمته
+
+312
+00:24:34,780 --> 00:24:37,760
+ما شاء الله علينا خلصنا توجيه ولا ما خلصناه؟
+
+313
+00:24:37,760 --> 00:24:42,220
+خلصناه وشاطرين وعرفنا قيمته كلولي هذا
+
+314
+00:24:42,220 --> 00:24:49,100
+هايو X تبعتك دي أنا أنا أنا أنا أنا أنا أنا أنا
+
+315
+00:24:49,100 --> 00:24:51,860
+أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا
+
+316
+00:24:51,860 --> 00:24:51,900
+أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا
+
+317
+00:24:51,900 --> 00:24:56,160
+أنا أنا أنا أنا except بتعنيين؟ لا بتكمليش فائدة
+
+318
+00:24:57,690 --> 00:25:03,510
+هذه لو X بيه X مصير X تربيع 2 بدها دي X بيه DM طب
+
+319
+00:25:03,510 --> 00:25:09,390
+كيف نسويه؟ كيف نوجدها؟ عشان نوجد .. طب إيش نوجدها؟
+
+320
+00:25:09,390 --> 00:25:12,470
+إيش نوجدها؟ نوجدها نفرض العلاقة اللي هيك مثلا إيش
+
+321
+00:25:12,470 --> 00:25:18,230
+نوجدها؟ بـ M مثلا مثلا أحب ال scene تسوي X أو
+
+322
+00:25:18,230 --> 00:25:24,150
+مصطرة؟ X ولا M؟ لا DM؟ ممكن نخليها سنة ليه تكمل X
+
+323
+00:25:24,150 --> 00:25:28,630
+تكمل DM؟ لا أبسط من هناك أنتم رايحين على طريق الصح
+
+324
+00:25:28,630 --> 00:25:35,350
+بس ما عارفين تركبوا الوسيلة الصح تمام؟ بدكم علاقة
+
+325
+00:25:35,350 --> 00:25:39,890
+بين X و M مش بدكم تجيبوا علاقة بين X و M عشان
+
+326
+00:25:39,890 --> 00:25:42,690
+تظبط معاكم ما ينفعش تكون X و M بيكونوا تخلوها من
+
+327
+00:25:42,690 --> 00:25:46,090
+نفس الجزء عشان كده و بتفوض و ما ينفعش واحد يفوض
+
+328
+00:25:46,090 --> 00:25:51,070
+شغلة مش صحيحة أنتم بدكم تجيبوا علاقة ما بين X و
+
+329
+00:25:51,070 --> 00:25:53,910
+M صح؟ تمام الـ M إيه؟
+
+330
+00:25:59,430 --> 00:26:08,150
+طول، بعض حوشوا وفتشوا جوا إيش في كمية تربط الكتلة
+
+331
+00:26:08,150 --> 00:26:13,830
+بالبعد أو الأبعاد مسافة
+
+332
+00:26:13,830 --> 00:26:19,070
+حجم .. مسافة اللي بدكم إياها؟ كتلة على حجم إيش
+
+333
+00:26:19,070 --> 00:26:28,510
+بيساوي؟ الكثافة هذه هي إذا بدنا الكثافة، حلو، إيش
+
+334
+00:26:28,510 --> 00:26:33,050
+يعني في الكثافة؟ اخذناها في الابتدائية؟ كتلة على
+
+335
+00:26:33,050 --> 00:26:40,190
+حجم، حلو، هذه ورقة ولا لأ؟ إلها كتلة؟ آه، كم كتلة
+
+336
+00:26:40,190 --> 00:26:43,710
+بتاعتها؟ كم بتجيبها؟ كتلة على حجم، كتلة على حجم،
+
+337
+00:26:43,710 --> 00:26:48,710
+كتلة على حجم، كتلة على حجم، هو المربع على حجم هاي
+
+338
+00:26:48,710 --> 00:26:52,250
+أول مرة أشوف المربع على حجم متوازن من سطلات إلى
+
+339
+00:26:52,250 --> 00:27:00,190
+حجم المربع ما هو حجم وين سبقه؟ قديش؟ يعني بالتالي
+
+340
+00:27:00,190 --> 00:27:03,650
+قالت فمدورجة هادية بدي أقعد داخلها أجيب حجم ومال
+
+341
+00:27:03,650 --> 00:27:07,350
+مالهاش حجم قالوا هي الكثافة إن خلقت بس تكون كتلة
+
+342
+00:27:07,350 --> 00:27:11,430
+على حجم ممكن تخليها كتلة على مساحة كتلة على مساحة
+
+343
+00:27:11,430 --> 00:27:16,800
+بس صحيح براه عليك، كثافة سطحية قالوا طيب لو كان في
+
+344
+00:27:16,800 --> 00:27:24,840
+عندك شعرة قديش مساحتها بصير طول إذا برضه بدي كثافة
+
+345
+00:27:24,840 --> 00:27:29,720
+للطول ففي اثنين ثلاثة كثافات يا بنات كثافة للحجم إذا
+
+346
+00:27:29,720 --> 00:27:34,620
+الشكل تبعك حجم كثافة للسطح سطحية إذا كان الجسم
+
+347
+00:27:34,620 --> 00:27:40,680
+عندك مساحة وكثافة طولية إذا كان الكثافة الجسم اللي
+
+348
+00:27:40,680 --> 00:27:47,730
+عندك Rod أو Line طيب الكثافة الحجمية اللي اخذناها
+
+349
+00:27:47,730 --> 00:27:54,310
+في المدرسة أعطوا رمز Rho قالوا خليها حاجة حجم ..
+
+350
+00:27:54,310 --> 00:28:00,270
+sorry .. mass على حجم قالوا السطحية خليها mass
+
+351
+00:28:00,270 --> 00:28:06,570
+على area وقالوا الطولية mass على طول فغيروا الرموز
+
+352
+00:28:06,570 --> 00:28:12,910
+رول الحجم sigma للمساحة و lambda للطول هذه كثافة و
+
+353
+00:28:12,910 --> 00:28:15,870
+هذه كثافة وهذه كثافة إيش بفرجوا؟ بفرجوا في
+
+354
+00:28:15,870 --> 00:28:20,350
+الوحدات يا بنات هذه kilogram على متر تكعيب هذه كيلو
+
+355
+00:28:20,350 --> 00:28:26,110
+جرام على متر تربيع وهذه كيلو جرام على متر تمام؟
+
+356
+00:28:26,110 --> 00:28:31,610
+المهم العلاقة الفيزيائية اللي بتربط كتل بأبعاد هي
+
+357
+00:28:31,610 --> 00:28:36,670
+الكثافات بثلاث أنواعها تمام؟ بيقول لي to find a
+
+358
+00:28:36,670 --> 00:28:40,730
+relation عشان تعاوني ال calculus بيقول لي بدي علاقة
+
+359
+00:28:40,730 --> 00:28:45,810
+بين M و X to find a relation between the mass اللي
+
+360
+00:28:45,810 --> 00:28:51,630
+هي DM and the variable X we define the linear mass
+
+361
+00:28:51,630 --> 00:28:59,210
+density الخطية الرمز Lambda وتسمى mass per unit
+
+362
+00:28:59,210 --> 00:29:04,140
+length مش mass per unit volume Lambda وأنا ما بقدرش
+
+363
+00:29:04,140 --> 00:29:13,180
+أكتبها جامع كده؟ هذا؟
+
+364
+00:29:13,180 --> 00:29:17,180
+أنا هيك بكتبها أنا لما بكتب الحمد لله أنتم مش
+
+365
+00:29:17,180 --> 00:29:19,740
+رايحين خط بكتب على ال power point برايح عالي لأ
+
+366
+00:29:19,740 --> 00:29:25,240
+أنا خلاص متعوديا كال lambda جوس وحط هدا خلاص اه
+
+367
+00:29:25,240 --> 00:29:31,160
+بكتبوا قعدوا اتخططوا أحد يختيق؟ لا أي حاجة تمام؟
+
+368
+00:29:33,110 --> 00:29:36,210
+لا لا لا Lambda هي جوس وهيك بس يمكن معناها سرعة
+
+369
+00:29:36,210 --> 00:29:40,230
+فهي Lambda هيك تكتب طبعا اللي خطه أحلى من الخط هو
+
+370
+00:29:40,230 --> 00:29:42,890
+حر يكتبها Lambda أحلى من الـ .. أنا هي Lambda تي
+
+371
+00:29:42,890 --> 00:29:48,530
+أنا تمام إذا طبعا أنتم فارتوكوا من اللوحة هذه
+
+372
+00:29:48,530 --> 00:29:51,990
+Lambda حلوة مش أنا كتبتها هذه اتلاحتها من ال word
+
+373
+00:29:51,990 --> 00:29:57,590
+فهي Lambda صحيحة تمام بيقول لي إيش التعريف بيقول لي
+
+374
+00:29:57,590 --> 00:30:03,860
+Lambda بتساوي كتلة العنصر على طول العنصر و بيضوا
+
+375
+00:30:03,860 --> 00:30:09,440
+بتساوي كتلة الرد كله على طول الرد كله تمام؟ يعني
+
+376
+00:30:09,440 --> 00:30:14,740
+بتساوي delta M على delta X هذه delta M كتلة إيش؟
+
+377
+00:30:14,740 --> 00:30:19,620
+الجزء، إذا هذا طول الجزء هذا كتلة إيش؟ كل الرد،
+
+378
+00:30:19,620 --> 00:30:24,280
+إذا هذا طول الرد كله هلاقي لو اتعملت هيك بقدر أقول
+
+379
+00:30:24,280 --> 00:30:28,200
+إن DM بتساوي Lambda في DX ولا لأ؟ Lambda في DX
+
+380
+00:30:28,200 --> 00:30:33,230
+هنا، فهذه صارت الـ Lambda ثابتة لما تكون uniform
+
+381
+00:30:33,230 --> 00:30:35,470
+تطلع برا بصير X DX
+
+382
+00:30:43,190 --> 00:30:49,050
+هلاقي X DX X تربيع 2 ضبطت طبعا أنتم عارفين في
+
+383
+00:30:49,050 --> 00:30:51,9
+
+431
+00:34:05,750 --> 00:34:10,410
+mass distribution القضية كتير سهلة و بنيجي و بناخد
+
+432
+00:34:10,410 --> 00:34:15,790
+عنصر طبعا مش جامعني العملية بسيطة بهذا الشكل يعني
+
+433
+00:34:15,790 --> 00:34:20,730
+بمعنى آخر هب أن أنا عندي ورقة زي هذه بدي أجيب ال
+
+434
+00:34:20,730 --> 00:34:23,030
+center of mass لبعض الحاجة يا بنات كيف بدي أجيبها؟
+
+435
+00:34:24,220 --> 00:34:29,760
+هل جدتوا تتوقعوا هذا يكون X ولا XY؟ XY طب كيف بدي
+
+436
+00:34:29,760 --> 00:34:33,440
+أسوي؟ يلا أنا أخد عنصر خليني أقول .. أشوف إيش في
+
+437
+00:34:33,440 --> 00:34:38,060
+هنا .. خليني هذه الورقة .. هذه ورقة .. بدي أخد
+
+438
+00:34:38,060 --> 00:34:43,040
+عنصر خليني أنا أخد عنصر هذه ما هو مجسم .. مجسم
+
+439
+00:34:43,040 --> 00:34:47,460
+مربع أصلا .. مربعة اللغة مش هذه بقدر عنها أقول DM
+
+440
+00:34:47,460 --> 00:34:54,790
+هذه؟ صح؟ تمام؟ وهي ال origin تبعها أحداث الصينية
+
+441
+00:34:54,790 --> 00:35:05,630
+تبعها هيو .. صح؟ و أحداها التصاعد هيو .. صحيح؟
+
+442
+00:35:05,630 --> 00:35:12,810
+نجي إلى ال X بقولي ال X center of mass بالساوية
+
+443
+00:35:12,810 --> 00:35:20,050
+تكامل XDM مافيش مشكلة، بعرف أكمله هذا؟ بدي علاقة؟
+
+444
+00:35:20,490 --> 00:35:27,690
+ما بين M و X و Y بتدي الكثافة طب حلو هلجيت الخط
+
+445
+00:35:27,690 --> 00:35:32,150
+الصغير الرد قولنا ال line طب هذه الورقة line ؟ سطح
+
+446
+00:35:32,150 --> 00:35:40,090
+.. سطح قال لي إذا سطح معناته DM بتساوي Sigma في DA
+
+447
+00:35:40,090 --> 00:35:44,770
+دي إيه إيش هي مساحة هذه الحمرة مين يقول ليه جاتيش
+
+448
+00:35:44,770 --> 00:35:45,270
+مساحتها
+
+449
+00:35:48,420 --> 00:35:52,160
+ما هدى مربع صغير الطول في العرض مافيش مساحة بتتغير
+
+450
+00:35:52,160 --> 00:35:56,980
+المربع مربع كبير ولا صغير طول و عرض دي ايه طوله DM
+
+451
+00:35:56,980 --> 00:36:01,480
+DX DM طول DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+452
+00:36:01,480 --> 00:36:03,100
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+453
+00:36:03,100 --> 00:36:06,660
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+454
+00:36:06,660 --> 00:36:06,680
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+455
+00:36:06,680 --> 00:36:10,480
+DX
+
+456
+00:36:10,480 --> 00:36:10,520
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+457
+00:36:20,740 --> 00:36:25,620
+السجنة x dx dy عشان فيه جيكس ودي وار صارت كامه
+
+458
+00:36:25,620 --> 00:36:27,700
+إيه؟ و الله هيك
+
+459
+00:36:35,040 --> 00:36:39,400
+فنحن بنتكامل مش خاصين فكيف تكون double integration
+
+460
+00:36:39,400 --> 00:36:41,740
+طبعا double integration تاخدوها في سنة تانية هذي
+
+461
+00:36:41,740 --> 00:36:46,480
+بيسموها double integration سنة تانية في فيزيا؟ سنة
+
+462
+00:36:46,480 --> 00:36:50,960
+تانية في فيزيا؟ لأ مش فيزيا و بس علوم كتيرة و
+
+463
+00:36:50,960 --> 00:36:56,100
+هندسة اه فيه هندسات لأ المعماري لأ المعماري هده
+
+464
+00:36:56,100 --> 00:37:02,850
+هيك يعني ربع علم، بلاش أقول علم كامل، لأنه في الآخر
+
+465
+00:37:02,850 --> 00:37:07,390
+فن يعني، أما فيه هندسة مدنية و هندسة كهربائية و
+
+466
+00:37:07,390 --> 00:37:11,270
+هندسة ميكانيكية، بتاخد رياضيات أكتر من الرياضيات،
+
+467
+00:37:11,270 --> 00:37:15,990
+المهم، فهذا بيقولي طب إذا أنا ماعرفش إيش أسوي، قيل
+
+468
+00:37:15,990 --> 00:37:21,070
+لها ببسطها، ببسطها أكتر، فبتبسط هذه، قاللي بدل ما
+
+469
+00:37:21,070 --> 00:37:25,450
+أنت تعملها الصغر هذا، بتبسطها بأسهل، قاللي خدها
+
+470
+00:37:25,450 --> 00:37:25,970
+يعنصرك
+
+471
+00:37:32,440 --> 00:37:38,000
+هو عنصر .. هو شو العنصر تعريفه؟ جزء من كل .. صح
+
+472
+00:37:38,000 --> 00:37:43,380
+ولا لا؟ هذه الشاشة البيضاء لو رسمت زي هدول عشر
+
+473
+00:37:43,380 --> 00:37:47,640
+وحطتهم فوق بعض بتطلع الكل؟ اه .. اذا ممكن اعتبر
+
+474
+00:37:47,640 --> 00:37:53,840
+هذا عنصر تمام؟ هجتك ايش مساحته؟ قاللي العرض في دي
+
+475
+00:37:53,840 --> 00:38:02,030
+Y بسبطل دي اكس و دي واي لو افترض ان دي ال دي ايه
+
+476
+00:38:02,030 --> 00:38:07,950
+بالساوي ال في دي واي اذا اكتر تكامل بس و احط دوريش
+
+477
+00:38:07,950 --> 00:38:13,510
+او رجع واحد تمام؟ وبتظبط معاكم طبعا واحدة واحدة
+
+478
+00:38:13,510 --> 00:38:19,210
+احنا بدناش نجي لسه حاجة زي ما تقولوا اول مرة بتمر
+
+479
+00:38:19,210 --> 00:38:25,490
+علينا كامل وبالتالي حبة حبة فصلة جاي بنديكم كمان
+
+480
+00:38:25,490 --> 00:38:30,790
+جرعة وهكذا واللي بيكمل بيكمل واللي بروح على مسار
+
+481
+00:38:30,790 --> 00:38:38,580
+تاني بيوقف يعني مافيش عندى اي إشكالية تمام إذن أنا
+
+482
+00:38:38,580 --> 00:38:41,400
+الآن اتعلمت كيف أجيب الـcenter of mass وأنا بس
+
+483
+00:38:41,400 --> 00:38:44,680
+مجرد أقول إنه الـcenter of mass أي إن كان شكله
+
+484
+00:38:44,680 --> 00:38:48,880
+بقدر أجيب نقطة الـcenter of mass الآن بدي أتعامل
+
+485
+00:38:48,880 --> 00:38:52,680
+مع قوانين الـNewton عليه dynamics of a system of
+
+486
+00:38:52,680 --> 00:38:56,660
+particles كيف قوانين الـNewton بدي أطبقها عليه تم
+
+487
+00:38:56,660 --> 00:39:02,600
+.. بقول it is known that the center of mass هو ..
+
+488
+00:39:02,600 --> 00:39:07,400
+هذه العلاقة هو أنا وياكم عملتها صح ولا لأ؟ حلوعشان
+
+489
+00:39:07,400 --> 00:39:12,380
+أجيب السرعة، إيش بدى أسوي فيها دو؟ إيش تعريف
+
+490
+00:39:12,380 --> 00:39:19,060
+السرعة بالنسبة للإزاحة؟ مشتقة إنها إزاحة، صح ولا
+
+491
+00:39:19,060 --> 00:39:24,700
+لأ؟ طيب، بتعرف تشتقوا؟ ال M تشتق .. نشتقها ال M؟
+
+492
+00:39:24,700 --> 00:39:29,360
+ال M constant، إيش بدك تشتقها؟ اللي هي بس بتشتقها
+
+493
+00:39:30,080 --> 00:39:35,120
+اذا بقدر أقول يا بنادى أنه بعد مقادرة ضرب تبادل
+
+494
+00:39:35,120 --> 00:39:40,220
+capital M R center of mass هذي بيستوي صحيحة تمام؟
+
+495
+00:39:40,220 --> 00:39:43,380
+Differentiating the last equation فاضي لأن أنا
+
+496
+00:39:43,380 --> 00:39:49,420
+عملت اشتقاق with respect to time صارت ايش اشتقاق
+
+497
+00:39:49,420 --> 00:39:52,120
+ال R center of mass بالنسبة للزمان V center of
+
+498
+00:39:52,120 --> 00:39:57,890
+mass؟ صورة نقطة الـ Center of Mass بتساوي MI وهذه
+
+499
+00:39:57,890 --> 00:40:04,670
+في I الشخق هذه تمام هيك؟ طيب، بينفع الشق كمان مرة؟
+
+500
+00:40:04,670 --> 00:40:10,450
+اه، إيش بنصر معاه؟ الـ Acceleration Differentiating
+
+501
+00:40:10,450 --> 00:40:17,250
+a K again طلعت عنده الـ M M اشتقت هذه طلعت هذه و
+
+502
+00:40:17,250 --> 00:40:20,570
+اشتقت ال V طلعت ال A لأن احنا نعرف يا بنات ال A
+
+503
+00:40:20,570 --> 00:40:26,770
+بيسوي DV على DT و ال V بيسوي DR على DT و لا لأ
+
+504
+00:40:26,770 --> 00:40:33,830
+تمام او DX ما هو ال R و ال X واحد تمام طيب هذه
+
+505
+00:40:35,600 --> 00:40:40,880
+مش كتلة في تسارع، هي قوة، إذا هذه مجموعة القوة،
+
+506
+00:40:40,880 --> 00:40:46,760
+مجموعة القوة، أفعال الـ system، جواته فيه قوة
+
+507
+00:40:46,760 --> 00:40:58,360
+كتير، نرجع، هاي جلم و هاي جلم بنجيب غيره هاي
+
+508
+00:40:58,360 --> 00:41:04,580
+جلم و هاي جلم بينهم قوة جانبكم قوة جذب تذكرينها؟ و
+
+509
+00:41:04,580 --> 00:41:09,420
+فيه جذبية صحيح؟ بدي أجمع جميع القوة اللي بتأثر على
+
+510
+00:41:09,420 --> 00:41:15,450
+ال system كلهم أم واحد يجيب أما أزرق G وأما أصفر G؟
+
+511
+00:41:15,450 --> 00:41:21,850
+تمام؟ زائد قوة هذا من هذا، زائد قوة هذا من هذا، صح
+
+512
+00:41:21,850 --> 00:41:26,680
+ولا لأ؟ يلّا نجمع بدي أجمع قوة هذا من هذا و قوة هذا
+
+513
+00:41:26,680 --> 00:41:31,920
+من هذا كيف أجمعهم؟ قوة هذا من هذا و قوة هذا من هذا
+
+514
+00:41:31,920 --> 00:41:35,640
+فتكون الـ G's قوة هذا على هذا و قوة هذا على هذا،
+
+515
+00:41:35,640 --> 00:41:41,120
+كيف أجمعهم؟ بيروحوا مع بعض لأنه فعل و لا اتفعل،
+
+516
+00:41:41,120 --> 00:41:44,260
+تمام؟ إذا ليش بيبقى عندي؟ أم واحد G و أم اثنين G،
+
+517
+00:41:44,260 --> 00:41:48,820
+بس أم واحد G و أم اثنين G، مش هدول الوزن؟ الوزن
+
+518
+00:41:48,820 --> 00:41:54,690
+يعني قوة شغلة خارجية، قوة الأرض عليهم، صح؟ إذا
+
+519
+00:41:54,690 --> 00:41:59,450
+معناته هذا بيقول فقط بتجمع معات القوة الخارجية
+
+520
+00:41:59,450 --> 00:42:02,850
+والقوة الداخلية بيلتغيوا، الداخلية دي بتأثير واحد
+
+521
+00:42:02,850 --> 00:42:08,820
+على التاني، تمام F is the vector sum of all the
+
+522
+00:42:08,820 --> 00:42:10,700
+forces acting on the system
+
+523
+00:42:37,120 --> 00:42:43,480
+بس، إيش معناته؟ إذا مافيش قوة خارجية، مافيش كإندك
+
+524
+00:42:43,480 --> 00:42:48,240
+ال center of mass مفروض مايكتسبش تسارع، مايكتسبش تسارع
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b19aec34a35126b5d62c733a227a988409d04f6e
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM_postprocess.srt
@@ -0,0 +1,2096 @@
+1
+00:00:21,130 --> 00:00:24,330
+نسمّى بسم الله الرحمن الرحيم ونبدأ بـ Chapter 8
+
+2
+00:00:24,330 --> 00:00:30,270
+بعد ما أنهينا Chapter 7 اللي كان يعتبر من الشباتر
+
+3
+00:00:30,270 --> 00:00:34,030
+المهمة، الآن Chapter 7 عنوانه
+
+4
+00:00:36,580 --> 00:00:42,880
+Chapter 8 عنوانه Systems of Particles نتعلم كيف
+
+5
+00:00:42,880 --> 00:00:46,360
+نتعامل مع ال system ككل لما يكون في عندي system
+
+6
+00:00:46,360 --> 00:00:52,000
+متكون من أكتر من particle و أتعامل معه كsystem
+
+7
+00:00:52,000 --> 00:00:57,470
+كامل ك one systemوبالتالي إله بعض المفاهيم
+
+8
+00:00:57,470 --> 00:01:02,550
+والقوانين اللي خاصة بيه أول حاجة بدنا نناقشها هي
+
+9
+00:01:02,550 --> 00:01:06,830
+ال center of mass احنا في الشباتر الماضية كنا لما
+
+10
+00:01:06,830 --> 00:01:11,430
+نقول في عندي كتلة ونقول وزنها لما يكون في عندي
+
+11
+00:01:11,430 --> 00:01:16,130
+كتلها كتلة زي هيك نقول وزنها هيك مظبوط ولا لأ مجي
+
+12
+00:01:16,680 --> 00:01:22,940
+تمام؟ لما تكون الكتلة كبيرة Mg وين بالظبط بتتأثر؟
+
+13
+00:01:22,940 --> 00:01:26,320
+بتتأثر على نقطة معينة هذه الكتلة نقول الكتلة
+
+14
+00:01:26,320 --> 00:01:31,680
+السابقة كتلة صغيرة كحجم تمام؟ بغض النظر عن جدش
+
+15
+00:01:31,680 --> 00:01:35,420
+مقدار الكتلة لكن حجمها صغير لما يكون مثلا عندي أنا
+
+16
+00:01:35,420 --> 00:01:39,340
+والله هذا الجسم بدي أنا أرسم فيه body diagram
+
+17
+00:01:39,340 --> 00:01:44,840
+وأرسم وزنهأحنا متفقين MG لأسفل طب وين أحطها
+
+18
+00:01:44,840 --> 00:01:48,620
+بالظبط؟ أحطها عند الطرف هذا؟ و لا عند الطرف هذا؟ و
+
+19
+00:01:48,620 --> 00:01:52,680
+لا في النص بالظبط؟ طب هل النص دايما بيكون هو الصح؟
+
+20
+00:01:52,680 --> 00:01:57,180
+لما يكون الشكل مش منطبخ بيبطله النص طيب إذا معناته
+
+21
+00:01:57,180 --> 00:02:01,960
+و بدى أحطها عند نقطة معينة هذه النقطة تسمى مركز
+
+22
+00:02:01,960 --> 00:02:06,920
+الثقل اللي هي ال center of mass ليه؟ بحيث أنه لما
+
+23
+00:02:06,920 --> 00:02:13,070
+أعلجها من هذه النقطة الجسم يتزنهذه النقطة تسمى الـ
+
+24
+00:02:13,070 --> 00:02:16,650
+Center of Mass أو الـ Center of Gravity كيف
+
+25
+00:02:16,650 --> 00:02:21,830
+أحسبها؟ الآن نتعلم كيف نحسبها ليش؟ لأن و كأنه ..
+
+26
+00:02:21,830 --> 00:02:24,430
+إيش ال Center of Mass؟ يقول لي معناته هذا كله
+
+27
+00:02:24,430 --> 00:02:29,530
+الصمار إنسا و تعامل معها و كأنها نقطة و بتتعامل
+
+28
+00:02:29,530 --> 00:02:32,870
+معها على هذه الأساس هذه النقطة هي اللي هسميها ال
+
+29
+00:02:32,870 --> 00:02:39,750
+Center of MassThe center of mass كمفهوم لغوي أو
+
+30
+00:02:39,750 --> 00:02:44,230
+معنوي كمعناه The center of mass of a system of
+
+31
+00:02:44,230 --> 00:02:47,970
+particles طبعا ال center of mass بيكون مش لجسم
+
+32
+00:02:47,970 --> 00:02:52,430
+واحد، عدة أجسام، عندي أكتر من جسم، يعني أنتم، ممكن
+
+33
+00:02:52,430 --> 00:02:54,830
+نجيبكم ال center of mass لكم، أنتم ك system
+
+34
+00:02:54,830 --> 00:03:00,150
+متكونين من أكتر من particle، تمام؟of a rigid body
+
+35
+00:03:00,150 --> 00:03:03,350
+ال rigid body هو الجسم اللي زي الجلم اللي زي هذا
+
+36
+00:03:03,350 --> 00:03:08,310
+الجسم جاسق ايش معناته انه المسافة بين اي نقطين
+
+37
+00:03:08,310 --> 00:03:12,430
+بتبقى ثابتة هاي بيسموه ال rigid .. rigid يعني صلى
+
+38
+00:03:12,430 --> 00:03:16,950
+او جاسق زي ما حكيتهit's the point إذا هذا ال
+
+39
+00:03:16,950 --> 00:03:19,790
+center of mass إيش تعريفها؟ point طب و ال point
+
+40
+00:03:19,790 --> 00:03:24,330
+أنا كيف بعرفها؟ كيف بتكون لو أنا أديكم شغلة و
+
+41
+00:03:24,330 --> 00:03:28,330
+بيكتسموني نقطة، إيش بتكون مني عشان ترسمي النقطة؟
+
+42
+00:03:28,330 --> 00:03:32,390
+إحداثياتها إذا أنا أي نقطة بدي أعرفها بإحداثياتها
+
+43
+00:03:32,990 --> 00:03:37,970
+إذا الـ Center of Mass هو نقطة يا بنادر، يحتاج
+
+44
+00:03:37,970 --> 00:03:41,970
+إحداثيات، إذا عرفت إحداثيات وعرفت النقطة، is the
+
+45
+00:03:41,970 --> 00:03:46,850
+point at which all of the mass are considered to
+
+46
+00:03:46,850 --> 00:03:50,670
+be concentrated there، اللي بيتعتبر كل الكتلة
+
+47
+00:03:50,670 --> 00:03:55,360
+متمركزة عند النقطة الفلانية، هذا وزنهخلّيني أقول
+
+48
+00:03:55,360 --> 00:04:00,600
+متجرام متجرام متركزين في هذه النقطة مع أن
+
+49
+00:04:00,600 --> 00:04:07,630
+الميتجرام هنا فيه و هنا فيه و هنا فيه تمامو جميع
+
+50
+00:04:07,630 --> 00:04:11,490
+القوة الخارجية اللي بتأثر بتأثر عند هذه النقطة مثل
+
+51
+00:04:11,490 --> 00:04:15,590
+الوزن الوزن قوة خارجية وين بتأثر عند النقطة هذه؟
+
+52
+00:04:15,590 --> 00:04:19,710
+لما أقول والله أنا دغطها بقوة زيك وين بدغط هذه
+
+53
+00:04:19,710 --> 00:04:23,750
+القوة عند النقطة هذه؟ وكأنني بستعيد عن هذا الجسم
+
+54
+00:04:23,750 --> 00:04:29,830
+بهذه النقطة فقط تمام و جميع القوات الخارجية تم
+
+55
+00:04:29,830 --> 00:04:35,040
+تطبيق عليها هناالآن كيف بدي أحسبها؟ بقولها
+
+56
+00:04:35,040 --> 00:04:38,780
+consider a system of two masses نبدأ بكتلتين صغار
+
+57
+00:04:38,780 --> 00:04:43,500
+consider a system of two masses M1 and M2 located
+
+58
+00:04:43,500 --> 00:04:47,780
+along the x-axis as shown في عند كتلتين هاي M1 و
+
+59
+00:04:47,780 --> 00:04:52,560
+هاي M2 حاططهم أنا جنب بعض على ال X-axis و بدي أجيب
+
+60
+00:04:52,560 --> 00:04:56,060
+ال center of mass لهم يعني بدي أجيب هدول كتلتين و
+
+61
+00:04:56,060 --> 00:05:01,440
+أستعيد عنهم بنقطة الكتلة الكلية اللي هي M1 زي M2
+
+62
+00:05:01,440 --> 00:05:05,410
+محطوطة هناكتمام؟ consider a system of two masses
+
+63
+00:05:05,410 --> 00:05:10,230
+m1 and m2 located along the x-axis the position x
+
+64
+00:05:10,230 --> 00:05:16,310
+center of mass هذا هو إحداث النقطة of the center
+
+65
+00:05:16,310 --> 00:05:21,970
+of mass SM هو اختصار center of mass of the center
+
+66
+00:05:21,970 --> 00:05:24,850
+of mass of these two masses is defined to be ..
+
+67
+00:05:24,850 --> 00:05:30,070
+تعريفه يقول كيف تجيبها؟ يقول اضرب الكتلة الأولىفي
+
+68
+00:05:30,070 --> 00:05:33,710
+إحدى فيها الصيني زي الكتلة التانية في إحدى فيها
+
+69
+00:05:33,710 --> 00:05:41,150
+الصيني على مجموع الكتلة لأ على M1 زي M2 M1 زي M2
+
+70
+00:05:41,150 --> 00:05:46,730
+بيمثل الكتلة كلية ولا لأ هذا كتلة كلية تماموبنبدأ
+
+71
+00:05:46,730 --> 00:05:51,570
+.. طيب لو كان في عندك y center of mass بنفس القضية
+
+72
+00:05:51,570 --> 00:05:56,670
+بنعملها for a system هدول بس كتلتين .. كتلتين طب
+
+73
+00:05:56,670 --> 00:06:00,570
+لو عندي تلاتة إيش بتتوقعي ذي؟ مش بقول زائد ام
+
+74
+00:06:00,570 --> 00:06:04,590
+تلاتة اكسلاتة على مين زائد ام تلاتةعندي عشرة، إن
+
+75
+00:06:04,590 --> 00:06:07,150
+شاء الله عندي مليون، إن شاء الله عندي مائة مليون،
+
+76
+00:06:07,150 --> 00:06:11,730
+بضني أمشي بهذا الشكل For a system of N particles،
+
+77
+00:06:11,730 --> 00:06:15,930
+الـ N ده اللي بدكم هي تنين، مية، مليون، بدكم
+
+78
+00:06:15,930 --> 00:06:21,230
+ماشيين M1، M2، M3، M4، M5، لما تصلوا للآخر، تمام؟
+
+79
+00:06:21,230 --> 00:06:26,970
+The center of mass is M1 X 1 زاد M2 X 2 زائد زائد
+
+80
+00:06:26,970 --> 00:06:30,950
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+81
+00:06:30,950 --> 00:06:30,990
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+82
+00:06:30,990 --> 00:06:31,310
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+83
+00:06:31,310 --> 00:06:34,500
+زائد زائد زائد زعشان لما أكون عندي عدد كبير مضطر
+
+84
+00:06:34,500 --> 00:06:40,020
+اني أعد راحوا طلعون رياضيات قالوا بنكتب هذا ال
+
+85
+00:06:40,020 --> 00:06:45,520
+sigma اللي هي المجموعة هدول المجموعة كلهم بطلعون
+
+86
+00:06:45,520 --> 00:06:49,280
+capital M ال total mass فهذه ال capital M طلعتها
+
+87
+00:06:49,280 --> 00:06:55,410
+برا وهذهالرمز اللي بنتعامل معاه M I X I وهذه I
+
+88
+00:06:55,410 --> 00:06:59,390
+مشتعة شبطر واحد ال I و ال J و ال K لأ مالهاش دعوة
+
+89
+00:06:59,390 --> 00:07:04,830
+يعني هذا رمز بسميه عداد بعدد I مرة بحط واحد مرة
+
+90
+00:07:04,830 --> 00:07:09,010
+اثنين مرة تلاتة و هكذا بضنني I مشي فيه إذا هذا لو
+
+91
+00:07:09,010 --> 00:07:13,670
+أجي أفك هذا ال summation إيش بيصير M 1 X 1 زائد M
+
+92
+00:07:13,670 --> 00:07:18,270
+2 X 2 زائد M 3 X 3 زائد بضين أمشي لما أصل ال M
+
+93
+00:07:18,270 --> 00:07:23,240
+تمام هيك؟فهك تكتب بعد ما نكتبها زائد زائد زائد
+
+94
+00:07:23,240 --> 00:07:30,720
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+95
+00:07:30,720 --> 00:07:30,760
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+96
+00:07:30,760 --> 00:07:30,800
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+97
+00:07:30,800 --> 00:07:31,240
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+98
+00:07:31,240 --> 00:07:31,340
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+99
+00:07:31,340 --> 00:07:32,820
+زائد زائد زائد زائد زائد زائد زائد زائد زائد زائد
+
+100
+00:07:32,820 --> 00:07:38,730
+زائد زائد زائد زائد زائد زائد زائدالمقام M مجموعة
+
+101
+00:07:38,730 --> 00:07:46,090
+حدوى M1 M2 Mn مجموعة
+
+102
+00:07:46,090 --> 00:07:48,510
+حدوى M1 M2 Mn مجموعة حدوى M1 M2 Mn مجموعة حدوى M1
+
+103
+00:07:48,510 --> 00:07:48,570
+M2 Mn مجموعة حدوى M1 M2 Mn مجموعة حدوى M1 M2 Mn
+
+104
+00:07:48,570 --> 00:07:48,710
+مجموعة حدوى M1 M2 Mn مجموعة حدوى M1 M2 Mn مجموعة
+
+105
+00:07:48,710 --> 00:07:49,670
+M2 Mn مجموعة حدوى M1 M2 MN مجموعة حدوى M1 M2 MN
+
+106
+00:07:49,670 --> 00:07:51,380
+مجموعة حدوى M1 M2 MN مجموعة حدوى Mإذا كانت البرامج
+
+107
+00:07:51,380 --> 00:07:55,320
+مستعملة في ثلاث مقاطع أنا حاططهم على الـ x-axis لو
+
+108
+00:07:55,320 --> 00:07:58,300
+أنا حاططهم .. مش على الـ x-axis حاطط واحد هنا و
+
+109
+00:07:58,300 --> 00:08:01,660
+واحد هنا ساعتها بيكون الـ center of mass في x و في
+
+110
+00:08:01,660 --> 00:08:06,360
+y تمام؟ و لو كان في الفراع في x و في y و في zإذا
+
+111
+00:08:06,360 --> 00:08:10,540
+كان الـ system بصورة إجمالية موزع بالـ three
+
+112
+00:08:10,540 --> 00:08:15,000
+dimensions يعني موزعين للنقاط واحدة هنا و واحدة
+
+113
+00:08:15,000 --> 00:08:17,220
+هنا و واحدة في الفراغ هنا و واحدة هنا وبالتالي
+
+114
+00:08:17,220 --> 00:08:21,860
+عندي three dimensions الـ Y و الـ Z كواردينيات من
+
+115
+00:08:21,860 --> 00:08:25,800
+مركز المجتمع هي بمثلًا مفهومة من Y مركز المجتمع
+
+116
+00:08:25,800 --> 00:08:33,130
+واحدة على الكتلة الكليةفي M I Y I M 1 Y 1 زي M 2 Y
+
+117
+00:08:33,130 --> 00:08:37,030
+2 زي M 3 Y 3 و هكذا لما أخلص عدد كل الكتل اللي
+
+118
+00:08:37,030 --> 00:08:41,250
+عندي و ال Z نفس القضية Z center of mass بالساعة
+
+119
+00:08:41,250 --> 00:08:45,990
+واحدة على الكتلة الكلية M 1 زي 1 زي M 2 زي 2 طبعا
+
+120
+00:08:45,990 --> 00:08:49,270
+لما يقولي الكتلة المحتوطة كل واحدة إحدى فيها
+
+121
+00:08:49,270 --> 00:08:55,650
+كمعرفة وبالتالي سهل أجيبها فالعملية كتير سهلةبقولي
+
+122
+00:08:55,650 --> 00:08:59,130
+in vector notation أنت في الآخر ده تجيب موضع نقطة
+
+123
+00:08:59,130 --> 00:09:03,230
+هذه بتحطلها ال vector و ال vector احنا كلنا عارفين
+
+124
+00:09:03,230 --> 00:09:09,250
+اي vector بكتبه تلات مركبات X Y و Z و بالتالي as a
+
+125
+00:09:09,250 --> 00:09:12,350
+vector .. the position vector of the center of
+
+126
+00:09:12,350 --> 00:09:15,950
+mass اللي بدي اسميه R center of massCan be
+
+127
+00:09:15,950 --> 00:09:18,470
+expressed as R center of mass بتساوي X center of
+
+128
+00:09:18,470 --> 00:09:22,190
+mass بتجاه I Y center of mass بتجاه J زي ال Z
+
+129
+00:09:22,190 --> 00:09:25,290
+center of mass بتجاه K ليش؟ لأن احنا بنعرف أن A
+
+130
+00:09:25,290 --> 00:09:32,410
+بتساوي AXI زي AYJ زي AZ K مش هدا عارفين احنا من
+
+131
+00:09:32,410 --> 00:09:37,630
+أول ولا لأ تمام هادي فيكتور هادي فيكتورالمُركّبة
+
+132
+00:09:37,630 --> 00:09:41,010
+السينية X Center of Mass المُركّبة الصادية Y
+
+133
+00:09:41,010 --> 00:09:44,610
+Center of Mass المُركّبة العينية Z Center of Mass
+
+134
+00:09:44,610 --> 00:09:54,310
+وهكذا هذه شغلات بسيطة R Center of Mass ما هي هذه
+
+135
+00:09:54,310 --> 00:09:57,950
+عبارة عن MIRI لو أتعامل معها
+
+136
+00:10:01,340 --> 00:10:05,980
+طيب، جالي هدف فهمتها، عندي كتلتين، عندي تلاتة،
+
+137
+00:10:05,980 --> 00:10:10,360
+عندي أربع، بعد و بمشي و بضن أم واحد في X واحد و أم
+
+138
+00:10:10,360 --> 00:10:14,580
+اتنين في X اتنين و هكذا طب هدا الجلام، بدأ يجيب ال
+
+139
+00:10:14,580 --> 00:10:19,920
+center of mass يجيب بتاعنا كده أكتر كتلة هو هذا؟
+
+140
+00:10:19,920 --> 00:10:24,900
+لا و الله ما هو واحدة طب وين ال position ال center
+
+141
+00:10:24,900 --> 00:10:30,530
+of mass بحق؟في النص؟ مش صحيح تكون في النص، إذا هي
+
+142
+00:10:30,530 --> 00:10:34,890
+اختلفنا، إذا هذا مش كتلة واحدة، تمام؟ هذا الباب،
+
+143
+00:10:34,890 --> 00:10:37,370
+كيف ده يجيب ال center of mass تبعته؟ أو هذا ال
+
+144
+00:10:37,370 --> 00:10:39,690
+computer، ال lab، كيف ده يجيب ال center of mass
+
+145
+00:10:39,690 --> 00:10:46,250
+تبعتها؟ بتخليها أجزاء، سهل الأجزاء يا بنات، في حد
+
+146
+00:10:46,250 --> 00:10:51,600
+معرفش الشفرة ولا المجاص؟المجاص ولا المنشار ولا ما
+
+147
+00:10:51,600 --> 00:10:55,360
+بدكم إياه حقيقة أنا لو جيبت أنا منشار ولا مجاص ولا
+
+148
+00:10:55,360 --> 00:11:00,280
+شفرة ولا مناشطة بقدر هذا جسمه ل 200 جزء؟ أه مافيش
+
+149
+00:11:00,280 --> 00:11:03,680
+أسهل منها بس يكون عنكم طول تروح و تجدسوا بس ممكن
+
+150
+00:11:03,680 --> 00:11:08,440
+أسمه لكتلة N لأ كتلة نكبار ليش أنا بدي 200 و 300
+
+151
+00:11:08,440 --> 00:11:13,920
+عشان كل جزء تعتبريه كأنه نقطة كل جزء هل ممكن نعتبر
+
+152
+00:11:13,920 --> 00:11:18,200
+الكتلة N نقطة؟ لأ هو هذا اتفقنا هذا ممكن تخليه
+
+153
+00:11:18,200 --> 00:11:23,090
+نقطةهذه لحاله تقوى اختلافنا، ما تقولنا لأ مش نقطة،
+
+154
+00:11:23,090 --> 00:11:26,910
+صح؟ حجم نصه برضه مش نقطة، انا ايش .. ايش تعريف
+
+155
+00:11:26,910 --> 00:11:31,850
+النقطة يا بناتي؟ حجمها؟ Zero تقريبا، يقوني إلى
+
+156
+00:11:31,850 --> 00:11:36,910
+Zero، إذا أنا بديها صغيرة، صغيرة خالص، بقولي هذا،
+
+157
+00:11:36,910 --> 00:11:40,690
+اعمله ميت جزو يا ستي، بكفي مين، بلاش متين، بلاش
+
+158
+00:11:40,690 --> 00:11:44,750
+ناخد وقتك كتير، بتعمله ميت جزو، تمام؟ إذا نصاروا
+
+159
+00:11:44,750 --> 00:11:50,420
+أكيد إنه عندي ميت كتلة، صح؟كل واحدة منهم إحداثيتها
+
+160
+00:11:50,420 --> 00:11:54,000
+بعرفها لأن إذا كان هذه بالاعتبار هنا اللي وراها
+
+161
+00:11:54,000 --> 00:11:58,280
+جنبها مصفطي و هكذا لما خلص تمى طيب في الآخر بدت
+
+162
+00:11:58,280 --> 00:12:01,540
+تجمعهم صح ولا لأ طيب بدت تجمعهم احنا اختلفنا مليون
+
+163
+00:12:01,540 --> 00:12:05,240
+ولا ميتين طب يمكن يكونوا مليون كيف بدت تجمع؟ قالوا
+
+164
+00:12:05,240 --> 00:12:08,560
+طبعا رياضيات سهل و عالية هذه القضية كتير قال لما
+
+165
+00:12:08,560 --> 00:12:13,940
+يكون عندك عدد كبير و بدت تيجي تجمع إيه سويه؟ أكامل
+
+166
+00:12:14,500 --> 00:12:22,620
+أكامل تمام و احنا متفقين انه هذا و هذا اخوه نفس
+
+167
+00:12:22,620 --> 00:12:32,850
+الموضوع تمام اذا طيب الشيهة هذي م اي الشيهةيعني M1
+
+168
+00:12:32,850 --> 00:12:37,690
+او M2 او M3 او M4 جزء من ال system او لا ؟ جزء من
+
+169
+00:12:37,690 --> 00:12:41,010
+ال system انا هادي لما جبت لم جاستو جاستو جاستو
+
+170
+00:12:41,010 --> 00:12:49,490
+بقدر اقول اي واحد منهم هو M I طيب
+
+171
+00:12:49,490 --> 00:12:57,460
+بقدر اسميها DMالشيء دي ام جزء من الكتلة اللي جسّته
+
+172
+00:12:57,460 --> 00:13:04,360
+من المجاص هو ال DM إذا البديل هذه بتحصير DM خلّيني
+
+173
+00:13:04,360 --> 00:13:09,240
+أنا على ال X، خلّيني هذه هذي حصير DM وهذه حصير Y
+
+174
+00:13:09,240 --> 00:13:16,340
+تبعتها وهذه ال Sigma هتتجلب تكامل، انتهت الخضرية
+
+175
+00:13:16,340 --> 00:13:22,530
+أحنا ليش نكامل، احنا الكتلة الأصلي عندناطيب و X
+
+176
+00:13:22,530 --> 00:13:27,650
+تبقى الأصلية؟ انت بيدكي كتلة؟ أهلنا أصلا، سبحانك
+
+177
+00:13:27,650 --> 00:13:32,110
+بعد المحاضرة؟
+
+178
+00:13:32,110 --> 00:13:40,590
+طيب ما بيه مشكلة، خلص أنا أبو حد تبقى، تمام عيد
+
+179
+00:13:40,590 --> 00:13:44,210
+سؤاليه؟ بقول يعني nation كامل، بس كتلة الأصلي جادة
+
+180
+00:13:44,510 --> 00:13:47,770
+طب و أنت شيل فيه الكتلة الأصلية أنا بدي هذا أعمله
+
+181
+00:13:47,770 --> 00:13:51,330
+كيف بدي أطلعه أنا دي بفرجيكي كيف نتعامل معاه تمام؟
+
+182
+00:13:51,330 --> 00:13:55,430
+بينفعش إلا يعملها كده فبقولي for a rigid body زي
+
+183
+00:13:55,430 --> 00:13:59,370
+الجلم و لا الباب و لا الكمبيوتر هذا بيسميه rigid
+
+184
+00:13:59,370 --> 00:14:03,970
+body بيسموه continuous mass distribution إيش يعني
+
+185
+00:14:03,970 --> 00:14:07,070
+continuous mass distribution؟ يعني الكتل بين كتلة
+
+186
+00:14:07,070 --> 00:14:11,850
+و كتلة في فرق؟هذه بيسموها continuous زي continuous
+
+187
+00:14:11,850 --> 00:14:16,750
+functions هل انتوا continuous بناة distribution؟
+
+188
+00:14:16,750 --> 00:14:22,030
+لأ بيبقوا فراغات فتالي بيسموه discrete يعني منفصل
+
+189
+00:14:22,030 --> 00:14:25,070
+فال continuous يعني مافيش فراغ ما بين الكتلة و
+
+190
+00:14:25,070 --> 00:14:29,510
+الكتلة تمام we treat the body as a consisting of
+
+191
+00:14:29,510 --> 00:14:34,990
+so large numbers وكأنه متكون من so large number
+
+192
+00:14:34,990 --> 00:14:41,090
+100 ولا 200of small elements من عاصر صغيرة اللي
+
+193
+00:14:41,090 --> 00:14:46,130
+جاسجستها بالمجاص تمام؟ each of mass DM و احنا
+
+194
+00:14:46,130 --> 00:14:52,210
+متفقين DX و DM و DY كله جزء من الكل ف DX جزء من ال
+
+195
+00:14:52,210 --> 00:14:58,050
+X DY جزء من ال Y DM جزء من ال M و هكذاتمام؟ Such
+
+196
+00:14:58,050 --> 00:15:03,530
+that the sums becomes integrals وبتنجلي بالصم في
+
+197
+00:15:03,530 --> 00:15:09,730
+هذه الحالة إلى تكاملات فبتصير X center of mass هذي
+
+198
+00:15:09,730 --> 00:15:16,230
+واحدة على كام غيرت؟ لأ ال summation انكتبت بالخط
+
+199
+00:15:16,230 --> 00:15:21,470
+العفش صارت تكامل تمام؟ بقى ال M صارت DM وال X
+
+200
+00:15:21,470 --> 00:15:27,770
+تبعتها نفس العملية ال Yو نفس العملية الـ Z مافيش
+
+201
+00:15:27,770 --> 00:15:32,450
+أي إشكالية تمام؟ لأن هذا القانون ماقدرش أتعامل فور
+
+202
+00:15:32,450 --> 00:15:35,350
+معاه لما يكون continuous لأن أكم كتلة .. هنختلف
+
+203
+00:15:35,350 --> 00:15:38,370
+احنا وياكم أكم كتلة فيريحونا قالوا لأ ماتعدش أكم
+
+204
+00:15:38,370 --> 00:15:42,490
+كتلة جيب واحدة بس و كامل بيجيب الكل تمام؟
+
+205
+00:15:45,130 --> 00:15:49,030
+with x, y and z are the coordinates of the element
+
+206
+00:15:49,030 --> 00:15:53,530
+هذي DM هذي X عيتها وهذا عنصر انت اللي هتختاره و
+
+207
+00:15:53,530 --> 00:15:57,850
+هنشوف احنا وياكم كيف هنختاره وهذه DM هذي Y تبعتها
+
+208
+00:15:57,850 --> 00:16:02,050
+و هكذا فالعنصر اللي هتختاره هتعرف احداثياته فهتجي
+
+209
+00:16:02,050 --> 00:16:05,770
+ال X و Y و Z و بعد كده هتغير و تشتغل عليه و هنا
+
+210
+00:16:05,770 --> 00:16:09,510
+بنبدأ نفهم أيش معناه التكامل و كيف نطبقه في
+
+211
+00:16:09,510 --> 00:16:13,050
+التعامل مع الأمورfor vector position of the center
+
+212
+00:16:13,050 --> 00:16:15,910
+of mass طبعاً اه center of mass اللي هي هذه هتكون
+
+213
+00:16:15,910 --> 00:16:19,770
+نفس القضية تم اذا هذا هو center of mass موضوع سيل
+
+214
+00:16:19,770 --> 00:16:25,030
+ونبدأ بالمثال اللعبة سيل بيقول لي three particles
+
+215
+00:16:25,030 --> 00:16:29,430
+of mass خليني بيقولك عندك تلاتة particles هدول
+
+216
+00:16:29,430 --> 00:16:32,990
+سهلين بيبقى كنا بنعرف نعدهم وهي ماشاء الله عليهم
+
+217
+00:16:32,990 --> 00:16:37,250
+أصفر و أحمر و أحمر و ملونين و مبينين تمام three
+
+218
+00:16:37,250 --> 00:16:42,990
+particles of masses M1بتساوي one kilogram هذه هاي
+
+219
+00:16:42,990 --> 00:16:48,790
+M1 الحمرا M2 equal two kilogram الصفراء and M3
+
+220
+00:16:48,790 --> 00:16:51,510
+equal three kilogram اللي هي الخضراء انباينين عنكم
+
+221
+00:16:51,510 --> 00:16:55,090
+ولا لأ هجد في اي حد بتغلب يجيب إحداثيات أي واحدة
+
+222
+00:16:55,090 --> 00:17:01,690
+منهم M1 إحداثياتها السفر و واحد التانية واحد و سفر
+
+223
+00:17:01,690 --> 00:17:05,450
+والتالتة أربعة و سفر إذا الإحداثيات ده الجميع
+
+224
+00:17:05,450 --> 00:17:11,880
+معروفة تمأإذا تقول لي انا موجود ومظهر في الفيجارة،
+
+225
+00:17:11,880 --> 00:17:16,680
+فانتج مركز كمية هذا السيستيم بديه مركز كمية، بدي X
+
+226
+00:17:16,680 --> 00:17:20,540
+مركز كمية و بدي Y مركز كمية، لأن هم على X وY فقط
+
+227
+00:17:22,250 --> 00:17:26,490
+يلا الـ X component of the center of mass هي قلوني
+
+228
+00:17:26,490 --> 00:17:34,510
+الـ summation 1 و 2 و 3 اذا M1 X1 زي M2 X2 زي M3
+
+229
+00:17:34,510 --> 00:17:41,750
+X3 على مجموع الكتل بسم الله نخلص من المقاط اجمعوهم
+
+230
+00:17:41,750 --> 00:17:44,210
+1 و 2 فترة
+
+231
+00:17:46,850 --> 00:17:53,470
+سهلين طيب نبدأ الحمرة الأولى جديشك ساعتها؟ إذا
+
+232
+00:17:53,470 --> 00:18:02,210
+واحد برب سفر سفر زائد التانية نين في واحد اتنين
+
+233
+00:18:02,210 --> 00:18:08,490
+زائد نعش يا وردي مثلها خلاص إذا نمحوه و نكتب
+
+234
+00:18:08,490 --> 00:18:14,630
+الكلام اللي حاكيناهفقول لي واحد في سفر زائد اتنين
+
+235
+00:18:14,630 --> 00:18:19,110
+في واحد زائد تلاتة في اربعة فطلعت اتناشر و اتنين
+
+236
+00:18:19,110 --> 00:18:22,670
+اربعتاش على ستة اللي هي بيساوي سبعة تلاتة اللي هي
+
+237
+00:18:22,670 --> 00:18:25,950
+بيساوي اتنين و تلت صحيح ولا لأ اتنين و تلت يعني
+
+238
+00:18:25,950 --> 00:18:30,630
+two point three three متر يعني المحدث تقريبا هنا
+
+239
+00:18:30,630 --> 00:18:35,270
+الصيني لسه عم نجيب الصاضي صحيح ولا لأ جبنا نجيب
+
+240
+00:18:35,270 --> 00:18:40,510
+الصاضيY سنتر في مأسي أم واحد في Y واحد زي أدم أم
+
+241
+00:18:40,510 --> 00:18:43,450
+اتنين في Y اتنين زي أدم أم تلاتة في Y تلاتة على
+
+242
+00:18:43,450 --> 00:18:50,510
+مجموع الأمات هذي هي نفس الستة صحيح نيجي جداش Y
+
+243
+00:18:50,510 --> 00:18:56,510
+للحمرة اتنين فوق هذي كلمة مش مبينة اتنينجدّيش واي
+
+244
+00:18:56,510 --> 00:19:02,950
+للصخرة و واي للخضرة؟ هذا أسهل حلو؟ واحد في اتنين
+
+245
+00:19:02,950 --> 00:19:07,310
+زي اتنين في سفر زي تلاتة في سفر اتنين على ستة تلت
+
+246
+00:19:07,310 --> 00:19:13,630
+تمام خلصتبقدر احدد النقطة لو بدى ارسمها اه هاي
+
+247
+00:19:13,630 --> 00:19:16,930
+واحد هاي اثنين و هين هاين ان هاي ال center of mass
+
+248
+00:19:16,930 --> 00:19:21,250
+النقطة الزرقه هادي لو علت فيها منها الزرقه خلاص
+
+249
+00:19:21,250 --> 00:19:24,950
+بتبتزن التلات كتل بستعيد عن التلات كتل بالنقطه
+
+250
+00:19:24,950 --> 00:19:30,440
+الزرقه وبصير Mg الهم من هان صح ولا لأ بتتعلقبسهلة
+
+251
+00:19:30,440 --> 00:19:34,860
+العملية Fixed center of mass ان شاء الله جيبلي 6
+
+252
+00:19:34,860 --> 00:19:38,980
+كتر أو 7 كتر بس كل ما كترت الكتر كل ما طول السؤال
+
+253
+00:19:38,980 --> 00:19:44,640
+صح ولا لأ؟ لكن مافيش أي trick في السؤال تمام هذه
+
+254
+00:19:44,640 --> 00:19:49,500
+سهلة طبعا جيبت R center of mass السين حطيه جنبها I
+
+255
+00:19:49,500 --> 00:19:54,940
+والصدر حطيه جنبها J وسلام مافيش أي مشكلة عشان تمام
+
+256
+00:19:54,940 --> 00:20:00,150
+بقولي الآن لو هذا منتظم تماماما هوش .. مافيش له
+
+257
+00:20:00,150 --> 00:20:03,990
+مكان اخميله .. مكان يرفيعه تتوقع ال center of mass
+
+258
+00:20:03,990 --> 00:20:07,130
+بتبعته وين تكون؟ بالنص .. بالنص .. اذا كان منطبق
+
+259
+00:20:07,130 --> 00:20:10,650
+.. اه بيقول show that the center of mass of a
+
+260
+00:20:10,650 --> 00:20:15,990
+uniform rod عندك سلكة او حديدة uniform يعني مافيش
+
+261
+00:20:15,990 --> 00:20:19,370
+ولا منطقة اخميلة ولا منطقة رفيعة زي مصطرة بدون
+
+262
+00:20:19,370 --> 00:20:23,670
+الخروج تبعهاطبعا مصر حيوة هيك .. بدها تكون في النص
+
+263
+00:20:23,670 --> 00:20:26,150
+يعني ما برضه المصر مرات بتكون من ناحية رفيعة أو من
+
+264
+00:20:26,150 --> 00:20:29,970
+ناحية حميلة هذه بالقاطة ال uniform لأ بدنياها يعني
+
+265
+00:20:29,970 --> 00:20:37,190
+منتظمة تماما of mass capital M وطولها L اثبت انها
+
+266
+00:20:37,190 --> 00:20:40,410
+lies midway between its ends اثبت انا بساوم في
+
+267
+00:20:40,410 --> 00:20:46,050
+النص بالظبط بقول حاجة نرسمهاهذه الزرقة تشاهدونها؟
+
+268
+00:20:46,050 --> 00:20:49,830
+هذه هي الرد الـ Uniform طبعا موضح من الرسم لا في
+
+269
+00:20:49,830 --> 00:20:54,190
+منطقة خميلة ولا منطقة رفعة كلها مصطرة واحدة زي ما
+
+270
+00:20:54,190 --> 00:20:59,390
+بنسميها بإنفع أطبق هذه القانون واحد على كابتن M
+
+271
+00:20:59,390 --> 00:21:04,630
+summation mi xi ولا واحد على كابتن M تكامل DMX
+
+272
+00:21:04,630 --> 00:21:10,330
+التكامل لأن هذه أكمل كتلة ماعرفش احنا بنختلف عليها
+
+273
+00:21:10,330 --> 00:21:14,870
+قال لي طيب هي ده هي إيه يعني؟قال لي أول حاجة
+
+274
+00:21:14,870 --> 00:21:18,670
+تعملها تجيبلي هذا .. إيش هذا التفقن عليه؟ الـ DM؟
+
+275
+00:21:18,670 --> 00:21:22,010
+الـ Geoscope .. طب هذا الـ Geoscope كم بتختاره؟
+
+276
+00:21:22,010 --> 00:21:25,930
+انت حُب .. أنت بتختاره .. و لازم تكون عشوائي ..
+
+277
+00:21:25,930 --> 00:21:30,050
+تمام؟ إذا أنت بتختار ال DM و أنت لهكده أسئلة ..
+
+278
+00:21:30,050 --> 00:21:32,790
+تمام .. بيقول لي let the rod be located along the
+
+279
+00:21:32,790 --> 00:21:37,510
+X axis ما هي الرسمان بينا .. صدد .. مافيش لا Y ولا
+
+280
+00:21:37,510 --> 00:21:42,420
+في Z .. مافيش عندي إلا X .. حلو هيطوله L ..let us
+
+281
+00:21:42,420 --> 00:21:47,380
+take a small element of mass دي M بدي أخد عنصر
+
+282
+00:21:47,380 --> 00:21:50,580
+عنصر اللي أنا بدي أخده أنا وياكم بدي ناخده عنصر
+
+283
+00:21:50,580 --> 00:21:54,740
+صغير تمام طبعا واحد بيقولي وين عنصر؟ بقولي خده هنا
+
+284
+00:21:54,740 --> 00:21:58,780
+خد هنا خد هنا وين ما بدك خد تمام خلينا أنا أشوف
+
+285
+00:21:58,780 --> 00:22:05,480
+ايه و أنا أخدته هدا هو الأحمر شايفينه طبعا هو
+
+286
+00:22:05,480 --> 00:22:08,560
+ارفيع بس واحد بيكبره عشان تشوفوه المفروض يكون صغير
+
+287
+00:22:08,560 --> 00:22:13,900
+عشان يكون و كأنه نقطةحلو هذا اللي انت أخدته بيبعد
+
+288
+00:22:13,900 --> 00:22:21,100
+عن محور ال X خلّيني أنا .. هذا المسافة هذه X هذه
+
+289
+00:22:21,100 --> 00:22:28,780
+كتلته DM طوله DX صح ولا لأ؟ لأن كلكم بتعرفوا في
+
+290
+00:22:28,780 --> 00:22:38,720
+التفاضل أخدته إنه لو كانت هذه X هذه X زائد Delta X
+
+291
+00:22:40,970 --> 00:22:48,130
+مش هيك أصور؟ نسبة اللي أمتوا؟ أخدتوه؟ بالتالي
+
+292
+00:22:48,130 --> 00:22:54,350
+الطول بتساوي DX لأنه أنا بتغير من هال لهال من نقطة
+
+293
+00:22:54,350 --> 00:22:58,510
+لنقطة إذا كانت هال DX واحد هذه بتصير X واحد زي ال
+
+294
+00:22:58,510 --> 00:23:09,900
+DX مظبوط ولا لأ؟ والله مظبوط احنا حاجات خاليناهذه
+
+295
+00:23:09,900 --> 00:23:17,280
+نقطة وهذه نقطة تمام؟ هجد .. هذه خلينا نقول عنها X1
+
+296
+00:23:17,280 --> 00:23:22,920
+موقعها التانية أقل ولا أكتر؟ أكتر أكتر طب أكتر
+
+297
+00:23:22,920 --> 00:23:27,140
+كتير؟ لأنها جريبة منها طيب ليش بينهم هذه اللي أنا
+
+298
+00:23:27,140 --> 00:23:33,240
+سميته DX؟ بقدر أقول هذه هي عبارة عن X1زاية DX ولا
+
+299
+00:23:33,240 --> 00:23:41,300
+لأ؟ زواطات؟ هذا هي فهذا الطول بسميه أنا DX هو ال
+
+300
+00:23:41,300 --> 00:23:44,280
+increment هو الزيادة increment أخدتوها كلمة
+
+301
+00:23:44,280 --> 00:23:48,020
+increment في ال calculus الزيادة هو الزيادة اللي
+
+302
+00:23:48,020 --> 00:23:54,080
+صارت على ال X يعني هي increment معناها دي طب هي
+
+303
+00:23:54,080 --> 00:23:58,160
+إيش هي اسمها؟ مثلا increment ما أخدتوها إش ما هو
+
+304
+00:23:58,160 --> 00:24:03,030
+اسمها يعني دلتها دي رمزهاالتغير .. زياد .. ايش
+
+305
+00:24:03,030 --> 00:24:06,990
+التغير؟ زياد .. او خص .. ما هو ايه التغير الـ
+
+306
+00:24:06,990 --> 00:24:09,850
+delta هذه ممكن تكون كبيرة او ممكن تكون صغيرة لكن
+
+307
+00:24:09,850 --> 00:24:14,870
+ال D لازم تكون صغيرة يعني هذه delta تقول إلى الصفر
+
+308
+00:24:14,870 --> 00:24:20,050
+ايش بيصير؟ ازالة إلى الصفر .. بيصير DX هي رمزة
+
+309
+00:24:20,050 --> 00:24:25,860
+طبعا تكون صغيرة خالص .. حلوجالي الان انت DM تبعتك
+
+310
+00:24:25,860 --> 00:24:30,540
+عرفتها و X تبعتك ان عرفتها ما زال حددت العنصر عرفت
+
+311
+00:24:30,540 --> 00:24:34,780
+X اللي هو الأحداث اللي تبع العنصر جالي ها ات كامه
+
+312
+00:24:34,780 --> 00:24:37,760
+ما شاء الله علينا خلصنا توجيه ولا ما خلصناه؟
+
+313
+00:24:37,760 --> 00:24:42,220
+خلصناه و شمولنا شاطرين و عرفنا انكامت كبلولي هذا
+
+314
+00:24:42,220 --> 00:24:49,100
+هايو X تبيعك دي انا انا انا انا انا انا انا انا
+
+315
+00:24:49,100 --> 00:24:51,860
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+316
+00:24:51,860 --> 00:24:51,900
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+317
+00:24:51,900 --> 00:24:56,160
+انا انا انا انا اExcept بيعتنيين؟ لأ بتكمليش فادة
+
+318
+00:24:57,690 --> 00:25:03,510
+هذه لو X بيه X مصير X ربيعة 2 بدها دي X بيه DM طب
+
+319
+00:25:03,510 --> 00:25:09,390
+كيف نسويه؟ كيف تفرضه؟ عشان تفرض .. طب إيش بتفرضه؟
+
+320
+00:25:09,390 --> 00:25:12,470
+إيش بتفرضه؟ إفرضه نفرض الداخل اللي هيك مثلا إيش
+
+321
+00:25:12,470 --> 00:25:18,230
+بتفرضيه؟ بـ M مثلا مثلا أحب ال scene تسوي X أو
+
+322
+00:25:18,230 --> 00:25:24,150
+مصر؟ X ولا M؟ لأ DM؟ ممكن نخليك سنة ليه تكمل X
+
+323
+00:25:24,150 --> 00:25:28,630
+تكمل DM؟لا أبسط من هناك انتوا رايحين على طريق الصح
+
+324
+00:25:28,630 --> 00:25:35,350
+بس مش عارفين تركبوا الوسيلة الصح تمام؟ بدكم أولاقة
+
+325
+00:25:35,350 --> 00:25:39,890
+بين X و M مش بدكم تجيبوا أولاقة بين X و M عشان
+
+326
+00:25:39,890 --> 00:25:42,690
+تظبط معاكم ماينفعش تكون X و M بيكونوا تخلوها من
+
+327
+00:25:42,690 --> 00:25:46,090
+نفس الجزء عشان كده و بتفوض و ماينفعش واحد يفوض
+
+328
+00:25:46,090 --> 00:25:51,070
+شغلة مش صحيحة انتوا بدكم تجيبوا أولاقة ما بين X و
+
+329
+00:25:51,070 --> 00:25:53,910
+M صح؟ تمام ال M إيه؟
+
+330
+00:25:59,430 --> 00:26:08,150
+طول، بعض حوشوا وفتشوا جوا إيش في كمية تربط الكتلة
+
+331
+00:26:08,150 --> 00:26:13,830
+بالبعد أو الأبعاد مسافة
+
+332
+00:26:13,830 --> 00:26:19,070
+حجم .. مسافة اللي بدكم هي؟ كتلة على حجم إيش
+
+333
+00:26:19,070 --> 00:26:28,510
+بيساوي؟ الكثافةهذه هي إذا بدنا الكثافة، حلو، إيش
+
+334
+00:26:28,510 --> 00:26:33,050
+يعني في الكثافة؟ خدناها في الابتدائية؟ كتلة على
+
+335
+00:26:33,050 --> 00:26:40,190
+حجم، حلو، هذه ورقة ولا لأ؟ إلها كتلة؟ أه، كم كتلة
+
+336
+00:26:40,190 --> 00:26:43,710
+بتاعة؟ كم بتجيبها؟ كتلة على حجم، كتلة على حجم،
+
+337
+00:26:43,710 --> 00:26:48,710
+كتلة على حجم، كتلة على حجم،هو المربع على حجم هاي
+
+338
+00:26:48,710 --> 00:26:52,250
+أول مرة أشوف المربع على حجم متوازن من سطلات إلى
+
+339
+00:26:52,250 --> 00:27:00,190
+حجم المربع مانوش حجم وين سبقه؟ جداش؟ يعني بالتالي
+
+340
+00:27:00,190 --> 00:27:03,650
+قالت فمدورجة هادية بدي أقعد داخلها أجيب حجم ومال
+
+341
+00:27:03,650 --> 00:27:07,350
+مالاحش حجم قالوا هي الكثافة إن خلجت بس تكون كتلة
+
+342
+00:27:07,350 --> 00:27:11,430
+على حجم ممكن تخليها كتلة على مساحة كتلة على مساحة
+
+343
+00:27:11,430 --> 00:27:16,800
+بس صحيحبراو عليك، كثافة سطحية قالوا طيب لو كان في
+
+344
+00:27:16,800 --> 00:27:24,840
+عندك شعره جديش مساحتها بصير طول إذا برضه بدي كثافة
+
+345
+00:27:24,840 --> 00:27:29,720
+للطول ففي تين تلات كثافات يا بنات كثافة للحجم إذا
+
+346
+00:27:29,720 --> 00:27:34,620
+الشكل تبعك حجم كثافة للسطح سطحية إذا كان الجسم
+
+347
+00:27:34,620 --> 00:27:40,680
+عندك مساحة وكثافة طولية إذا كان الكثافة الجسم اللي
+
+348
+00:27:40,680 --> 00:27:47,730
+عندكRod أو Line طيب الكثافة الحجمية اللي أخدناها
+
+349
+00:27:47,730 --> 00:27:54,310
+في المدرسة اعطوا رمز Heroجالوا خلّيها حاجة حجم ..
+
+350
+00:27:54,310 --> 00:28:00,270
+sorry .. mass على حجم جالوا السطحية خلّيها mass
+
+351
+00:28:00,270 --> 00:28:06,570
+على area وجالوا الطولية mass على طول فغيروا الرموز
+
+352
+00:28:06,570 --> 00:28:12,910
+رول الحجم sigma للمساحة و lambda للطول هذه كثافة و
+
+353
+00:28:12,910 --> 00:28:15,870
+هذه كثافة و هذه كثافة إيش بفرجوا؟ بفرجوا في
+
+354
+00:28:15,870 --> 00:28:20,350
+الوحدات يا بنات هذه kilogram على متر تقيبهذه كيلو
+
+355
+00:28:20,350 --> 00:28:26,110
+جرام على متر تربيع وهذه كيلو جرام على متر تمام؟
+
+356
+00:28:26,110 --> 00:28:31,610
+المهم العراقة الفيزيائية اللي بتربط كتل بأبعاد هي
+
+357
+00:28:31,610 --> 00:28:36,670
+الكثافات بتلت أنواعها تمام؟بيقولّي to find a
+
+358
+00:28:36,670 --> 00:28:40,730
+relation عشان تعاوني ال calculus بيقولّي بدي علاقة
+
+359
+00:28:40,730 --> 00:28:45,810
+بين M و X to find a relation between the mass اللي
+
+360
+00:28:45,810 --> 00:28:51,630
+هي DM and the variable X we define the linear mass
+
+361
+00:28:51,630 --> 00:28:59,210
+density خطية الرمزة Lambda وتسمى mass per unit
+
+362
+00:28:59,210 --> 00:29:04,140
+length مش mass per unit volumeLambda وانا ممكنش
+
+363
+00:29:04,140 --> 00:29:13,180
+كتبتيها جامع كده؟ هدا؟
+
+364
+00:29:13,180 --> 00:29:17,180
+انا هيك بكتبها انا لما بكتب الحمد لله انتوا مش
+
+365
+00:29:17,180 --> 00:29:19,740
+رايحين خط بكتب على ال power point برايح عالي لأ
+
+366
+00:29:19,740 --> 00:29:25,240
+انا خلاص متعوديا كال lambda جوس وحطه هدا خلاص اه
+
+367
+00:29:25,240 --> 00:29:31,160
+بكتبوا قعدوا اتخططوا احد اختيق؟ لأ اي حاجة تمام؟
+
+368
+00:29:33,110 --> 00:29:36,210
+لأ لأ لأ Lambda هي جوس و هيك بس يمكن معناها سرعة
+
+369
+00:29:36,210 --> 00:29:40,230
+فهي Lambda هيك تكتب طبعا اللي خطه أحلى من الخطه هو
+
+370
+00:29:40,230 --> 00:29:42,890
+حر يكتبها Lambda أحلى من الـ .. انا هي Lambda تي
+
+371
+00:29:42,890 --> 00:29:48,530
+انا تمام اذا طبعا انتوا فارتوكوا من اللوحة هذي
+
+372
+00:29:48,530 --> 00:29:51,990
+Lambda حلوة مش انا كتبتها هذي اتلاحتها من ال word
+
+373
+00:29:51,990 --> 00:29:57,590
+فهي Lambda صحيحة تمام بيقوللي ايش التعريف بيقوللي
+
+374
+00:29:57,590 --> 00:30:03,860
+Lambda بيساوي طول كتلة العنصر على طول العنصرو بيضو
+
+375
+00:30:03,860 --> 00:30:09,440
+بتساوي كتلة الرد كله على طول الرد كله تمام؟ يعني
+
+376
+00:30:09,440 --> 00:30:14,740
+بتساوي delta M على delta X هذه delta M كتلة إيش؟
+
+377
+00:30:14,740 --> 00:30:19,620
+الجزء، إذا هذا طول الجزء هذا كتلة إيش؟ كل الرد،
+
+378
+00:30:19,620 --> 00:30:24,280
+إذا هذا طول الرد كله هجت لو يتعملت هيك بقدر أقول
+
+379
+00:30:24,280 --> 00:30:28,200
+إن DM بتساوي Lambda في DX ولا لأ؟ Lambda في DX
+
+380
+00:30:28,200 --> 00:30:33,230
+هنا، فهذه صارتالـ Lambda ثابتة لما تكون uniform
+
+381
+00:30:33,230 --> 00:30:35,470
+تطلع برا بصير X DX
+
+382
+00:30:43,190 --> 00:30:49,050
+هجيت X DX X رديع 2 ضبطت طبعا انتوا عارفين في
+
+383
+00:30:49,050 --> 00:30:51,930
+المدارس لما كنتوا تاخدوا تكاملات و ماعرفش وصلتوا
+
+384
+00:30:51,930 --> 00:30:54,870
+تكاملات في ال curriculum ايه ولا لا حدود التكامل
+
+385
+00:30:54,870 --> 00:30:59,190
+غالبا حد كانوا يدكموا يها كامل من كذا لكذا طبعا
+
+386
+00:30:59,190 --> 00:31:03,450
+حدود التكامل في الفيزيا انت بتعملهاأنت اللي بدك
+
+387
+00:31:03,450 --> 00:31:08,870
+تعرفها، ليش؟ لأنه لما أقول أنا بدي أعمل حدود تكامل
+
+388
+00:31:08,870 --> 00:31:12,410
+أرجعكم أنا برضه للمدرسة عشان نفهم إيش معاه التكامل
+
+389
+00:31:12,410 --> 00:31:17,670
+كنا لما يقولي أوجد مساحة ال curve أين كان من hand
+
+390
+00:31:17,670 --> 00:31:23,510
+ل hand من X1 ل X2 كنت لما تجمع، تجمع من وين ل وين؟
+
+391
+00:31:23,510 --> 00:31:29,070
+من X1 ل X2 صح ولا لا؟ إذا الحدود التكامل هو
+
+392
+00:31:29,070 --> 00:31:34,930
+المنطقة اللي بدك تجمعهاأنا دي M وهذه X مشالله
+
+393
+00:31:34,930 --> 00:31:39,430
+عليها كبيرة أبدأ من ويه و أخلص من ويه قاللي انت
+
+394
+00:31:39,430 --> 00:31:42,450
+اللي دكتيش معاه عارفه ولا لأ؟ بقوله أه عارفه أنا
+
+395
+00:31:42,450 --> 00:31:46,450
+بدي أغطي كل المنطقة الزرقا صح؟ هجيت بعدين هبدي
+
+396
+00:31:46,450 --> 00:31:51,010
+إيش؟ إذا المعناته X المفروض اتطلعوا على النقطة
+
+397
+00:31:51,010 --> 00:31:55,510
+الحمرا و هي بتتحرك الآن عشان أغطي المنطقة الزرقا و
+
+398
+00:31:55,510 --> 00:32:00,840
+هي ماشية و اتطلعوا على X متغير Xكيف تصيب فيها X؟
+
+399
+00:32:00,840 --> 00:32:05,260
+من أول للآخر تبدأ
+
+400
+00:32:05,260 --> 00:32:15,080
+من الصفر إلى الـL لإل .. لإل .. لإل .. لإل .. لإل
+
+401
+00:32:15,080 --> 00:32:18,840
+.. لإل .. لإل .. لإل .. لإل .. لإل .. لإل .. لإل
+
+402
+00:32:18,840 --> 00:32:19,040
+.. لإل .. لإل .. لإل .. لإل .. لإل .. لإل .. لإل
+
+403
+00:32:19,040 --> 00:32:19,400
+.. لإل .. لإل .. لإل .. لإل .. لإل .. لإل .. لإل
+
+404
+00:32:19,400 --> 00:32:19,440
+.. لإل .. لإل .. لإل .. لإل .. لإل .. لإل .. لإل
+
+405
+00:32:19,440 --> 00:32:20,720
+.. لإل .. لإل .. لإل .. لإل .. لإل .. لإل .. لإل
+
+406
+00:32:20,720 --> 00:32:22,520
+.. لإل .. لإل .. لإل .. لإل .. لإل .. لإل .. لإل
+
+407
+00:32:22,520 --> 00:32:27,910
+.. لإل .. لإل ..وهنا في جزء وما بينهم أجزاء كتيرة
+
+408
+00:32:27,910 --> 00:32:32,550
+أول جزء Xشي عرفت أنا اللي بكامل عليها هو بُعد
+
+409
+00:32:32,550 --> 00:32:37,810
+الجزء عن ال origin أحداث الجزء أول جزء كده أحداثي؟
+
+410
+00:32:37,810 --> 00:32:42,190
+سبعة؟ Zero وآخر جزء وإنت لما تقول من أول للآخر
+
+411
+00:32:42,190 --> 00:32:47,370
+بتكون شمالتي جميع إذا هاش عدد التكامل من صفر لإل
+
+412
+00:32:47,370 --> 00:32:54,050
+عشان كده من صفر لإللو حطيت من سفل اتنين ال بالفا
+
+413
+00:32:54,050 --> 00:32:58,830
+بصير بجمع حوا جاعد و انا بجمعهم تمام؟ زي انا والله
+
+414
+00:32:58,830 --> 00:33:02,110
+بدي اجمعكم بقول من الحيطرة هذه للحيطرة هذه لو قولت
+
+415
+00:33:02,110 --> 00:33:04,890
+لأ بدي اجيب من أول صورة الجامعة هنا بجمعكم؟ ولا
+
+416
+00:33:04,890 --> 00:33:07,510
+بجمع كل الناس؟ كل الناس .. كل الناس .. كل الناس ..
+
+417
+00:33:07,510 --> 00:33:07,670
+كل الناس .. كل الناس .. كل الناس .. كل الناس .. كل
+
+418
+00:33:07,670 --> 00:33:08,850
+الناس .. كل الناس .. كل الناس .. كل الناس .. كل
+
+419
+00:33:08,850 --> 00:33:09,490
+الناس .. كل الناس .. كل الناس .. كل الناس .. كل
+
+420
+00:33:09,490 --> 00:33:12,430
+الناس .. كل الناس .. كل الناس .. كل الناس .. كل
+
+421
+00:33:12,430 --> 00:33:14,070
+الناس .. كل الناس .. كل الناس .. كل الناس .. كل
+
+422
+00:33:14,070 --> 00:33:20,220
+الناسالان ايش تكامل X DX؟ X تربيع اتنين سهل هذه
+
+423
+00:33:20,220 --> 00:33:25,420
+فصارة Lambda X تربيع اتنين من صفر ل L عبارة عن L
+
+424
+00:33:25,420 --> 00:33:30,080
+تربيع اتنين نقل صفر فصارت Lambda L تربيع على اتنين
+
+425
+00:33:30,080 --> 00:33:35,560
+M فجيت Lambda هذه بدعوض عنها هذه وحط عنها هذه صحي
+
+426
+00:33:35,560 --> 00:33:43,250
+لي ولا لا؟ اه فجالي هذه حطت محلها M على Lأما إما
+
+427
+00:33:43,250 --> 00:33:46,750
+روحت و إما علم من هدول روحت صارت إلا على اتنين
+
+428
+00:33:46,750 --> 00:33:50,630
+يعني where is the center of mass؟ بالظبط في المصدر
+
+429
+00:33:50,630 --> 00:33:56,090
+هاي ال center of mass وهذا هو المقلوب أي سؤال؟
+
+430
+00:33:59,730 --> 00:34:05,750
+تمام يا بنات؟ إذا العملية لما تكون عندي continuous
+
+431
+00:34:05,750 --> 00:34:10,410
+mass distribution القضية كتير سهلة و بنيجي و بناخد
+
+432
+00:34:10,410 --> 00:34:15,790
+عنصر طبعا مش جامعني العملية بسيطة بهذا الشكل يعني
+
+433
+00:34:15,790 --> 00:34:20,730
+بمعنى آخر هب ان انا عندي ورقة زي هذه بدي أجيب ال
+
+434
+00:34:20,730 --> 00:34:23,030
+circle of mass لبعض الحاجة يا بنات كيف بدي أجيبها؟
+
+435
+00:34:24,220 --> 00:34:29,760
+هل جدتوا تتوقعوا هذا يكون X ولا XY؟ XY طب كيف بدي
+
+436
+00:34:29,760 --> 00:34:33,440
+أسوي؟ يلا أنا أخد عنصر خليني أقول .. أشوف إيش في
+
+437
+00:34:33,440 --> 00:34:38,060
+هنا .. خليني هذه الورقة .. هذه ورقة .. بدي أخد
+
+438
+00:34:38,060 --> 00:34:43,040
+عنصر خليني أنا أخد عنصر هذه ما هو مجسم .. مجسم
+
+439
+00:34:43,040 --> 00:34:47,460
+مربع أصلا .. مربعة اللغة مش هذه بقدر عنها أقول DM
+
+440
+00:34:47,460 --> 00:34:54,790
+هذه؟ صح؟ تمام؟ وهي ال origin تبعيأحداث الصينية
+
+441
+00:34:54,790 --> 00:35:05,630
+تبعها هيو .. صح؟ و أحداها التصاعد هيو .. صحيح؟
+
+442
+00:35:05,630 --> 00:35:12,810
+نجي إلى ال X بقولي ال X center of mass بالساوية
+
+443
+00:35:12,810 --> 00:35:20,050
+تكامل XDN مافيش مشكلة، بعرف أكمله هذا؟ بدي علاقة؟
+
+444
+00:35:20,490 --> 00:35:27,690
+ما بين M و X و Y بتدي الكثافة طب حلو هلجيت الخط
+
+445
+00:35:27,690 --> 00:35:32,150
+الصغير الرد قولنا ال line طب هذه الورقة line ؟ سطح
+
+446
+00:35:32,150 --> 00:35:40,090
+.. سطح قال لي إذا سطح معناته DM بتساوي Sigma في DA
+
+447
+00:35:40,090 --> 00:35:44,770
+دي إيه إيش هي مساحة هذه الحمرة مين يقول ليه جاتيش
+
+448
+00:35:44,770 --> 00:35:45,270
+مساحتها
+
+449
+00:35:48,420 --> 00:35:52,160
+ما هدى مربع صغير الطول فى العرض مافيش مساحة بتتغير
+
+450
+00:35:52,160 --> 00:35:56,980
+المربع مربع كبير ولا صغير طول و عرض دي ايه طوله DM
+
+451
+00:35:56,980 --> 00:36:01,480
+DX DM طول DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+452
+00:36:01,480 --> 00:36:03,100
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+453
+00:36:03,100 --> 00:36:06,660
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+454
+00:36:06,660 --> 00:36:06,680
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+455
+00:36:06,680 --> 00:36:10,480
+DX
+
+456
+00:36:10,480 --> 00:36:10,520
+DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX
+
+457
+00:36:20,740 --> 00:36:25,620
+السجنة x dx dy عشان فيه جيكس ودي وار صارت كامه
+
+458
+00:36:25,620 --> 00:36:27,700
+إيه؟ و الله هيك
+
+459
+00:36:35,040 --> 00:36:39,400
+فنحن بنتكامل مش خاصين فكيف تكون double integration
+
+460
+00:36:39,400 --> 00:36:41,740
+طبعا double integration تاخدوها في سنة تانية هذي
+
+461
+00:36:41,740 --> 00:36:46,480
+بيسموها double integration سنة تانية في فيزيا؟ سنة
+
+462
+00:36:46,480 --> 00:36:50,960
+تانية في فيزيا؟ لأ مش فيزيا و بس علوم كتيرة و
+
+463
+00:36:50,960 --> 00:36:56,100
+هندسة اه فيه هندسات لأ المعماري لأ المعماري هده
+
+464
+00:36:56,100 --> 00:37:02,850
+هيكيعني ربع علم، بلاش أقول علم كامل، لأنه في الآخر
+
+465
+00:37:02,850 --> 00:37:07,390
+فن يعني، أما فيه هندسة مدنية و هندسة كهربائية و
+
+466
+00:37:07,390 --> 00:37:11,270
+هندسة ميكانيكية، بتاخد رياضيات أكتر من الرياضيات،
+
+467
+00:37:11,270 --> 00:37:15,990
+المهم، فهذا بيقولي طب إذا أنا ماعرفش إيش أسوي، قيل
+
+468
+00:37:15,990 --> 00:37:21,070
+لها ببسطها، ببسطها أكتر، فبتبسط هذه، قاللي بدل ما
+
+469
+00:37:21,070 --> 00:37:25,450
+أنت تعملها الصغر هذا، بتبسطها بأسهل، قاللي خدها
+
+470
+00:37:25,450 --> 00:37:25,970
+يعنصرك
+
+471
+00:37:32,440 --> 00:37:38,000
+هو عنصر .. هو شو العنصر تعريفه؟ جزء من كل .. صح
+
+472
+00:37:38,000 --> 00:37:43,380
+ولا لا؟ هذه الشاشة البيضاء لو رسمت زي هدول عشر
+
+473
+00:37:43,380 --> 00:37:47,640
+وحطتهم فوق بعض بتطلع الكل؟ اه .. اذا ممكن اعتبر
+
+474
+00:37:47,640 --> 00:37:53,840
+هذا عنصر تمام؟ هجتك ايش مساحته؟ قاللي العرض في دي
+
+475
+00:37:53,840 --> 00:38:02,030
+Y بسبطل دي اكس و دي واي لو افترض ان دي ال دي ايه
+
+476
+00:38:02,030 --> 00:38:07,950
+بالساوي ال في دي واي اذا اكتر تكامل بس و احط دوريش
+
+477
+00:38:07,950 --> 00:38:13,510
+او رجع واحد تمام؟ وبتظبط معاكمطبعا واحدة واحدة
+
+478
+00:38:13,510 --> 00:38:19,210
+احنا بدناش نجي لسه حاجة زي ما تقولوا اول مرة بتمر
+
+479
+00:38:19,210 --> 00:38:25,490
+علينا كامل وبالتالي حبة حبة فصلة جاي بنديكم كمان
+
+480
+00:38:25,490 --> 00:38:30,790
+جرعة وهكذا واللي بيكمل بيكمل واللي بروح على مسار
+
+481
+00:38:30,790 --> 00:38:38,580
+تاني بيوقف يعني مافيش عندى اي إشكالية تمامإذن أنا
+
+482
+00:38:38,580 --> 00:38:41,400
+الآن اتعلمت كيف أجيب الـcenter of mass وأنا بس
+
+483
+00:38:41,400 --> 00:38:44,680
+مجرد أقول إنه الـcenter of mass أي إن كان شكله
+
+484
+00:38:44,680 --> 00:38:48,880
+بقدر أجيب نقطة الـcenter of mass الآن بدي أتعامل
+
+485
+00:38:48,880 --> 00:38:52,680
+مع قوانين الـNewton عليه dynamics of a system of
+
+486
+00:38:52,680 --> 00:38:56,660
+particles كيف قوانين الـNewton بدي أطبقها عليه تم
+
+487
+00:38:56,660 --> 00:39:02,600
+.. بقول it is known that our center of mass هو ..
+
+488
+00:39:02,600 --> 00:39:07,400
+هذه العلاقة هو أنا وياكم عملتها صح ولا لأ؟ حلوعشان
+
+489
+00:39:07,400 --> 00:39:12,380
+أجيب السرعة، إيش بدى أسوي فيها دو؟ إيش تعريف
+
+490
+00:39:12,380 --> 00:39:19,060
+السرعة بالنسبة للإزاحة؟ مشطقة إنها إزاحة، صح ولا
+
+491
+00:39:19,060 --> 00:39:24,700
+لأ؟ طيب، بتعرف تشتقوا؟ ال M تشتق .. نشتقها ال M؟
+
+492
+00:39:24,700 --> 00:39:29,360
+ال M constant، إيش بدك تشتقها؟ اللي هي بس بتشتقها
+
+493
+00:39:30,080 --> 00:39:35,120
+أذا بقدر أقول يا بنادى أنه بعد مقادرة ضرب تبادل
+
+494
+00:39:35,120 --> 00:39:40,220
+capital M R center of mass هذي بيستوي صحيحة تمام؟
+
+495
+00:39:40,220 --> 00:39:43,380
+Differentiating the last equation فاضي لان انا
+
+496
+00:39:43,380 --> 00:39:49,420
+عملت اشتقاق with respect to time صارت ايش اشتقاق
+
+497
+00:39:49,420 --> 00:39:52,120
+ال R center of mass بالنسبة للزمان V center of
+
+498
+00:39:52,120 --> 00:39:57,890
+mass؟صورة نقطة الـ Center of Mass بتساوي MI وهذه
+
+499
+00:39:57,890 --> 00:40:04,670
+في I الشخق هذه تمام هيك؟ طيب، بينفع الشق كمان مرة؟
+
+500
+00:40:04,670 --> 00:40:10,450
+اه، ايش بنصر معاه؟ الـ AccelerationDifferentiating
+
+501
+00:40:10,450 --> 00:40:17,250
+a K again طلعت عنده الـ M M اشتقت هذه طلعت هذه و
+
+502
+00:40:17,250 --> 00:40:20,570
+اشتقت ال V طلعت ال A لأن احنا نعرف يا بنات ال A
+
+503
+00:40:20,570 --> 00:40:26,770
+بيسوي DV على DT و ال V بيسوي DR على DT و لا لأ
+
+504
+00:40:26,770 --> 00:40:33,830
+تمام او DX ما هو ال R و ال X واحد تمام طيب هذه
+
+505
+00:40:35,600 --> 00:40:40,880
+مش كتلة في تسارع، هي قوة، إذا هذه مجموعة القوة،
+
+506
+00:40:40,880 --> 00:40:46,760
+مجموعة القوة، أفعال الـ system، جواته فيه قوة
+
+507
+00:40:46,760 --> 00:40:58,360
+كتير، نرجع، هاي جلم و هاي جلمبنجيب غيره هاي
+
+508
+00:40:58,360 --> 00:41:04,580
+جلم و هاي جلم بينهم قوة جانبكم قوة جذب تذكرينها؟ و
+
+509
+00:41:04,580 --> 00:41:09,420
+فيه جذبية صحيح؟ بدي أجمع جميع القوة اللي بتأثر على
+
+510
+00:41:09,420 --> 00:41:15,450
+ال system كلهم أم واحد يجيبأما أزرق G وأما أصمر G؟
+
+511
+00:41:15,450 --> 00:41:21,850
+تمام؟ زائد قوة هذا من هذا، زائد قوة هذا من هذا، صح
+
+512
+00:41:21,850 --> 00:41:26,680
+ولا لأ؟ يلّا نجمعبدي أجمع قوة هذا من هذا و قوة هذا
+
+513
+00:41:26,680 --> 00:41:31,920
+من هذا كيف أجمعهم؟ قوة هذا من هذا و قوة هذا من هذا
+
+514
+00:41:31,920 --> 00:41:35,640
+فتكون الـ G's قوة هذا على هذا و قوة هذا على هذا،
+
+515
+00:41:35,640 --> 00:41:41,120
+كيف أجمعهم؟ بيروحوا مع بعض لأنه فعل و لا اتفعل،
+
+516
+00:41:41,120 --> 00:41:44,260
+تمام؟ إذا ليش بيبقى عندي؟ أم واحد G و أم اتنين G،
+
+517
+00:41:44,260 --> 00:41:48,820
+بس أم واحد G و أم اتنين G، مش هدوي الوزن؟ الوزن
+
+518
+00:41:48,820 --> 00:41:54,690
+يعني قوةشغلة خارجية، قوة الأرض عليهم، صح؟ إذا
+
+519
+00:41:54,690 --> 00:41:59,450
+معناته هذا بيقول فقط بتجمع معات القوة الخارجية
+
+520
+00:41:59,450 --> 00:42:02,850
+والقوة الداخلية بيلتغيوا، الداخلية دي بتأثير واحد
+
+521
+00:42:02,850 --> 00:42:08,820
+على التاني، تمامFI is the vector sum of all the
+
+522
+00:42:08,820 --> 00:42:10,700
+forces acting on the system
+
+523
+00:42:37,120 --> 00:42:43,480
+بس، إيش معناته؟ إذا مافيش قوة خارجية، مافيش كإندك
+
+524
+00:42:43,480 --> 00:42:48,240
+ال center of mass مفروض مايكلش تسارع، مايكلش تسارع
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..fd8305fe2335b200c9f8a82475bad724ba8950df
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/BXKG9cnI0uM_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3403, "start": 21.13, "end": 34.03, "text": "نسمّى بسم الله الرحمن الرحيم ونبدأ بـ Chapter 8 بعد ما أنهينا Chapter 7 اللي كان يعتبر من الشباتر المهمة، الآن Chapter 7 عنوانه", "tokens": [1863, 38251, 11703, 7578, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 1863, 44510, 10721, 4724, 39184, 18874, 1649, 39182, 19446, 14739, 3224, 1829, 8315, 18874, 1614, 13672, 1829, 25961, 7251, 34268, 26890, 9154, 25124, 3555, 9307, 2288, 9673, 16095, 3660, 12399, 6024, 48506, 18874, 1614, 18871, 2407, 7649, 3224], "avg_logprob": -0.2355542520307145, "compression_ratio": 1.4680851063829787, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 21.13, "end": 21.69, "word": "نسمّى", "probability": 0.4722900390625}, {"start": 21.69, "end": 21.87, "word": " بسم", "probability": 0.808837890625}, {"start": 21.87, "end": 22.13, "word": " الله", "probability": 0.94921875}, {"start": 22.13, "end": 22.51, "word": " الرحمن", "probability": 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{"start": 205.65, "end": 205.93, "word": " بتكون", "probability": 0.936767578125}, {"start": 205.93, "end": 206.15, "word": " مني", "probability": 0.8779296875}, {"start": 206.15, "end": 206.37, "word": " عشان", "probability": 0.9337565104166666}, {"start": 206.37, "end": 206.79, "word": " ترسمي", "probability": 0.85693359375}, {"start": 206.79, "end": 208.33, "word": " النقطة؟", "probability": 0.9190673828125}, {"start": 208.33, "end": 209.21, "word": " إحداثياتها", "probability": 0.8341587611607143}, {"start": 209.21, "end": 210.05, "word": " إذا", "probability": 0.664306640625}, {"start": 210.05, "end": 210.33, "word": " أنا", "probability": 0.6044921875}, {"start": 210.33, "end": 210.57, "word": " أي", "probability": 0.76220703125}, {"start": 210.57, "end": 210.89, "word": " نقطة", "probability": 0.9928385416666666}, {"start": 210.89, "end": 211.13, "word": " بدي", "probability": 0.781982421875}, {"start": 211.13, "end": 211.51, "word": " أعرفها", "probability": 0.9708251953125}, 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بستعيد عن هذا الجسم بهذه النقطة فقط تمام و جميع القوات الخارجية تم تطبيق عليها هنا", "tokens": [2407, 10874, 2304, 40228, 25062, 2407, 3660, 33962, 9640, 7435, 10632, 13672, 1829, 39894, 10721, 49115, 39894, 10721, 49115, 43242, 29538, 28239, 47432, 3660, 50113, 1211, 2423, 2407, 11622, 1863, 2423, 2407, 11622, 1863, 12174, 2407, 3660, 16490, 9640, 7435, 10632, 4032, 9957, 39894, 10721, 49115, 43242, 28239, 47432, 3660, 29538, 22807, 5296, 15042, 5551, 39648, 16070, 43761, 41850, 11778, 17082, 9566, 11296, 4724, 4587, 2407, 3660, 30767, 1829, 4117, 4032, 9957, 47525, 17082, 9566, 29538, 25062, 2407, 3660, 43242, 28239, 47432, 3660, 29538, 22807, 4032, 4117, 33456, 22653, 4724, 14851, 3615, 25708, 18871, 23758, 25724, 38251, 4724, 3224, 24192, 28239, 47432, 3660, 6156, 47432, 46811, 10943, 4032, 10874, 2304, 40228, 25062, 2407, 9307, 33962, 9640, 7435, 10632, 46811, 6055, 9566, 21292, 4587, 25894, 11296, 34105], "avg_logprob": -0.2637795266203993, "compression_ratio": 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becomes integrals وبتنجلي بالصم في هذه الحالة إلى تكاملات فبتصير X center of mass هذي واحدة على كام غيرت؟ لأ ال summation انكتبت بالخط العفش صارت تكامل تمام؟ بقى ال M صارت DM وال X تبعتها نفس العملية ال Y", "tokens": [2655, 15042, 2304, 22807, 9653, 300, 264, 34499, 3643, 3572, 1124, 46599, 2655, 1863, 7435, 20292, 20666, 9381, 2304, 8978, 29538, 21542, 6027, 3660, 30731, 6055, 4117, 10943, 1211, 9307, 6156, 3555, 2655, 9381, 13546, 1783, 3056, 295, 2758, 8032, 8848, 1829, 36764, 24401, 3660, 15844, 9122, 10943, 32771, 13546, 2655, 22807, 5296, 10721, 2423, 28811, 16472, 4117, 2655, 3555, 2655, 20666, 9778, 9566, 18863, 5172, 8592, 20328, 9640, 2655, 6055, 4117, 10943, 1211, 46811, 10943, 22807, 4724, 4587, 7578, 2423, 376, 20328, 9640, 2655, 15322, 16070, 1783, 6055, 3555, 34268, 11296, 8717, 36178, 18863, 42213, 10632, 2423, 398], "avg_logprob": -0.30890623569488523, "compression_ratio": 1.5213675213675213, "no_speech_prob": 0.0, "words": [{"start": 896.65, "end": 897.63, "word": 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"word": " كتل", "probability": 0.9451497395833334}, {"start": 1162.73, "end": 1163.63, "word": " بستعيد", "probability": 0.83355712890625}, {"start": 1163.63, "end": 1163.77, "word": " عن", "probability": 0.72119140625}, {"start": 1163.77, "end": 1164.09, "word": " التلات", "probability": 0.9833984375}, {"start": 1164.09, "end": 1164.47, "word": " كتل", "probability": 0.9949544270833334}, {"start": 1164.47, "end": 1164.95, "word": " بالنقطه", "probability": 0.8599853515625}, {"start": 1164.95, "end": 1165.57, "word": " الزرقه", "probability": 0.96982421875}, {"start": 1165.57, "end": 1166.39, "word": " وبصير", "probability": 0.6652018229166666}, {"start": 1166.39, "end": 1166.81, "word": " Mg", "probability": 0.3997802734375}, {"start": 1166.81, "end": 1167.27, "word": " الهم", "probability": 0.3519287109375}, {"start": 1167.27, "end": 1167.71, "word": " من", "probability": 0.9892578125}, {"start": 1167.71, "end": 1168.05, "word": " هان", "probability": 0.55126953125}, {"start": 1168.05, "end": 1168.57, "word": " صح", "probability": 0.964599609375}, {"start": 1168.57, "end": 1168.77, "word": " ولا", "probability": 0.72314453125}, {"start": 1168.77, "end": 1169.15, "word": " لأ", "probability": 0.63330078125}, {"start": 1169.15, "end": 1169.89, "word": " بتتعلق", "probability": 0.8428955078125}], "temperature": 1.0}, {"id": 52, "seek": 119868, "start": 1170.08, "end": 1198.68, "text": "بسهلة العملية Fixed center of mass ان شاء الله جيبلي 6 كتر أو 7 كتر بس كل ما كترت الكتر كل ما طول السؤال صح ولا لأ؟ لكن مافيش أي trick في السؤال تمام هذه سهلة طبعا جيبت R center of mass السين حطيه جنبها I والصدر حطيه جنبها J وسلام مافيش أي مشكلة عشان تمام بقولي الآن لو هذا منتظم تماما", "tokens": [3555, 3794, 3224, 37977, 18863, 42213, 10632, 25538, 292, 3056, 295, 2758, 16472, 13412, 16606, 21984, 10874, 1829, 3555, 20292, 1386, 9122, 2655, 2288, 34051, 1614, 9122, 2655, 2288, 4724, 3794, 28242, 19446, 9122, 2655, 43500, 33251, 2655, 2288, 28242, 19446, 23032, 12610, 21136, 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1187.86, "end": 1188.1, "word": " of", "probability": 0.97998046875}, {"start": 1188.1, "end": 1188.3, "word": " mass", "probability": 0.849609375}, {"start": 1188.3, "end": 1188.66, "word": " السين", "probability": 0.4508056640625}, {"start": 1188.66, "end": 1188.94, "word": " حطيه", "probability": 0.71771240234375}, {"start": 1188.94, "end": 1189.22, "word": " جنبها", "probability": 0.9422607421875}, {"start": 1189.22, "end": 1189.5, "word": " I", "probability": 0.9765625}, {"start": 1189.5, "end": 1190.24, "word": " والصدر", "probability": 0.72900390625}, {"start": 1190.24, "end": 1190.52, "word": " حطيه", "probability": 0.9727783203125}, {"start": 1190.52, "end": 1190.84, "word": " جنبها", "probability": 0.974365234375}, {"start": 1190.84, "end": 1191.1, "word": " J", "probability": 0.7080078125}, {"start": 1191.1, "end": 1192.04, "word": " وسلام", "probability": 0.7020670572916666}, {"start": 1192.04, "end": 1193.58, "word": " مافيش", "probability": 0.85009765625}, {"start": 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بتبعته وين تكون؟ بالنص .. بالنص .. اذا كان منطبق .. اه بيقول show that the center of mass of a uniform rod عندك سلكة او حديدة uniform يعني مافيش ولا منطقة اخميلة ولا منطقة رفيعة زي مصطرة بدون الخروج تبعها", "tokens": [15042, 31439, 8592, 4386, 19446, 41185, 8592, 46740, 3714, 41361, 1975, 9778, 2304, 26895, 3224, 4386, 3714, 41361, 7251, 28480, 40228, 3224, 6055, 2655, 30543, 3615, 2423, 3056, 295, 2758, 39894, 3555, 34268, 3224, 4032, 9957, 6055, 30544, 22807, 20666, 1863, 9381, 4386, 20666, 1863, 9381, 4386, 1975, 15730, 25961, 9154, 9566, 3555, 4587, 4386, 1975, 3224, 4724, 1829, 39648, 855, 300, 264, 3056, 295, 2758, 295, 257, 9452, 8685, 43242, 4117, 8608, 23275, 3660, 1975, 2407, 11331, 16254, 41891, 9452, 37495, 22653, 19446, 41185, 8592, 49429, 9154, 9566, 28671, 1975, 9778, 2304, 26895, 3660, 49429, 9154, 9566, 28671, 12602, 5172, 40228, 3660, 30767, 1829, 3714, 9381, 9566, 25720, 47525, 11536, 33962, 32887, 7435, 6055, 3555, 3615, 11296], "avg_logprob": -0.2815125940226707, 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اعطوا رمز Hero", "tokens": [49, 378, 34051, 14670, 23032, 1829, 3555, 33251, 12984, 31845, 3660, 21542, 7435, 2304, 10632, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 8978, 9673, 3215, 2288, 3794, 3660, 1975, 3615, 9566, 14407, 12602, 2304, 11622, 3204, 78], "avg_logprob": -0.17917352130538539, "compression_ratio": 1.1142857142857143, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 1661.85, "end": 1662.41, "word": "Rod", "probability": 0.50909423828125}, {"start": 1662.41, "end": 1662.83, "word": " أو", "probability": 0.87158203125}, {"start": 1662.83, "end": 1663.75, "word": " Line", "probability": 0.67236328125}, {"start": 1663.75, "end": 1664.81, "word": " طيب", "probability": 0.75537109375}, {"start": 1664.81, "end": 1665.81, "word": " الكثافة", "probability": 0.8873291015625}, {"start": 1665.81, "end": 1666.65, "word": " الحجمية", "probability": 0.99560546875}, {"start": 1666.65, "end": 1667.17, "word": " اللي", "probability": 0.790283203125}, {"start": 1667.17, "end": 1667.73, "word": " أخدناها", "probability": 0.953125}, {"start": 1667.73, "end": 1667.85, "word": " في", "probability": 0.9609375}, {"start": 1667.85, "end": 1668.85, "word": " المدرسة", "probability": 0.9953125}, {"start": 1668.85, "end": 1669.73, "word": " اعطوا", "probability": 0.827880859375}, {"start": 1669.73, "end": 1670.25, "word": " رمز", "probability": 0.9915364583333334}, {"start": 1670.25, "end": 1670.69, "word": " Hero", "probability": 0.617919921875}], "temperature": 1.0}, {"id": 72, "seek": 169913, "start": 1671.55, "end": 1699.13, "text": "جالوا خلّيها حاجة حجم .. sorry .. mass على حجم جالوا السطحية خلّيها mass على area وجالوا الطولية mass على طول فغيروا الرموز رول الحجم sigma للمساحة و lambda للطول هذه كثافة و هذه كثافة و هذه كثافة إيش بفرجوا؟ بفرجوا في الوحدات يا بنات هذه kilogram على متر تقيب", "tokens": [7435, 6027, 14407, 16490, 1211, 11703, 1829, 11296, 11331, 26108, 3660, 11331, 7435, 2304, 4386, 2597, 4386, 2758, 15844, 11331, 7435, 2304, 10874, 6027, 14407, 21136, 9566, 5016, 10632, 16490, 1211, 11703, 1829, 11296, 2758, 15844, 1859, 49610, 6027, 14407, 41950, 12610, 10632, 2758, 15844, 23032, 12610, 6156, 17082, 13546, 14407, 34892, 2304, 2407, 11622, 12602, 12610, 21542, 7435, 2304, 12771, 5296, 19528, 3794, 39319, 3660, 4032, 13607, 24976, 9566, 12610, 29538, 9122, 12984, 31845, 3660, 4032, 29538, 9122, 12984, 31845, 3660, 4032, 29538, 9122, 12984, 31845, 3660, 11933, 1829, 8592, 4724, 5172, 47341, 14407, 22807, 4724, 5172, 47341, 14407, 8978, 2423, 2407, 24401, 9307, 35186, 4724, 8315, 2655, 29538, 21741, 15844, 44650, 2288, 6055, 38436, 3555], "avg_logprob": -0.23291843586553962, "compression_ratio": 1.9768518518518519, "no_speech_prob": 0.0, "words": [{"start": 1671.55, "end": 1671.87, "word": "جالوا", "probability": 0.5686848958333334}, {"start": 1671.87, "end": 1672.53, "word": " خلّيها", "probability": 0.745751953125}, {"start": 1672.53, "end": 1673.13, "word": " حاجة", "probability": 0.6653238932291666}, {"start": 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{"start": 1680.49, "end": 1680.91, "word": " area", "probability": 0.82861328125}, {"start": 1680.91, "end": 1681.93, "word": " وجالوا", "probability": 0.781494140625}, {"start": 1681.93, "end": 1682.91, "word": " الطولية", "probability": 0.9469401041666666}, {"start": 1682.91, "end": 1683.79, "word": " mass", "probability": 0.85498046875}, {"start": 1683.79, "end": 1684.21, "word": " على", "probability": 0.943359375}, {"start": 1684.21, "end": 1684.85, "word": " طول", "probability": 0.994873046875}, {"start": 1684.85, "end": 1685.93, "word": " فغيروا", "probability": 0.9459228515625}, {"start": 1685.93, "end": 1686.57, "word": " الرموز", "probability": 0.9034423828125}, {"start": 1686.57, "end": 1687.65, "word": " رول", "probability": 0.6611328125}, {"start": 1687.65, "end": 1688.27, "word": " الحجم", "probability": 0.9825846354166666}, {"start": 1688.27, "end": 1688.83, "word": " sigma", "probability": 0.3330078125}, {"start": 1688.83, "end": 1689.73, "word": " للمساحة", "probability": 0.95615234375}, {"start": 1689.73, "end": 1690.21, "word": " و", "probability": 0.88232421875}, {"start": 1690.21, "end": 1690.49, "word": " lambda", "probability": 0.63818359375}, {"start": 1690.49, "end": 1691.37, "word": " للطول", "probability": 0.8943684895833334}, {"start": 1691.37, "end": 1692.11, "word": " هذه", "probability": 0.734375}, {"start": 1692.11, "end": 1692.75, "word": " كثافة", "probability": 0.9853515625}, {"start": 1692.75, "end": 1692.91, "word": " و", "probability": 0.6162109375}, {"start": 1692.91, "end": 1693.13, "word": " هذه", "probability": 0.900390625}, {"start": 1693.13, "end": 1693.55, "word": " كثافة", "probability": 0.9954833984375}, {"start": 1693.55, "end": 1693.61, "word": " و", "probability": 0.9296875}, {"start": 1693.61, "end": 1693.75, "word": " هذه", "probability": 0.94775390625}, {"start": 1693.75, "end": 1694.33, "word": " كثافة", "probability": 0.9970703125}, {"start": 1694.33, "end": 1694.83, "word": " إيش", "probability": 0.7262776692708334}, {"start": 1694.83, "end": 1695.43, "word": " بفرجوا؟", "probability": 0.660498046875}, {"start": 1695.43, "end": 1695.77, "word": " بفرجوا", "probability": 0.9569091796875}, {"start": 1695.77, "end": 1695.87, "word": " في", "probability": 0.970703125}, {"start": 1695.87, "end": 1696.31, "word": " الوحدات", "probability": 0.9610595703125}, {"start": 1696.31, "end": 1696.43, "word": " يا", "probability": 0.93798828125}, {"start": 1696.43, "end": 1696.79, "word": " بنات", "probability": 0.8767903645833334}, {"start": 1696.79, "end": 1697.39, "word": " هذه", "probability": 0.470458984375}, {"start": 1697.39, "end": 1697.81, "word": " kilogram", "probability": 0.77734375}, {"start": 1697.81, "end": 1698.21, "word": " على", "probability": 0.31298828125}, {"start": 1698.21, "end": 1698.51, "word": " متر", "probability": 0.67529296875}, {"start": 1698.51, "end": 1699.13, "word": " تقيب", "probability": 0.8269856770833334}], "temperature": 1.0}, {"id": 73, "seek": 171455, "start": 1699.75, "end": 1714.55, "text": "هذه كيلو جرام على متر تربيع وهذه كيلو جرام على متر تمام؟ المهم العراقة الفيزيائية اللي بتربط كتل بأبعاد هي الكثافات بتلت أنواعها تمام؟", "tokens": [3224, 24192, 9122, 26895, 2407, 10874, 2288, 10943, 15844, 44650, 2288, 6055, 2288, 21292, 3615, 37037, 24192, 9122, 26895, 2407, 10874, 2288, 10943, 15844, 44650, 2288, 46811, 10943, 22807, 9673, 16095, 18863, 23557, 28671, 27188, 1829, 11622, 1829, 16373, 10632, 13672, 1829, 39894, 25513, 9566, 9122, 2655, 1211, 4724, 10721, 3555, 3615, 18513, 39896, 33251, 12984, 31845, 9307, 39894, 1211, 2655, 14739, 14407, 3615, 11296, 46811, 10943, 22807], "avg_logprob": -0.16723279331041419, "compression_ratio": 1.8148148148148149, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 1699.75, "end": 1700.13, "word": "هذه", "probability": 0.531982421875}, {"start": 1700.13, "end": 1700.35, "word": " كيلو", "probability": 0.7332356770833334}, {"start": 1700.35, "end": 1700.63, "word": " جرام", "probability": 0.8543294270833334}, {"start": 1700.63, "end": 1700.75, "word": " على", "probability": 0.60498046875}, {"start": 1700.75, "end": 1701.71, "word": " متر", "probability": 0.919921875}, {"start": 1701.71, "end": 1702.55, "word": " تربيع", "probability": 0.924560546875}, {"start": 1702.55, "end": 1703.27, "word": " وهذه", "probability": 0.79248046875}, {"start": 1703.27, "end": 1703.51, "word": " كيلو", "probability": 0.9666341145833334}, {"start": 1703.51, "end": 1703.83, "word": " جرام", "probability": 0.9905598958333334}, {"start": 1703.83, "end": 1704.49, "word": " على", "probability": 0.84326171875}, {"start": 1704.49, "end": 1705.09, "word": " متر", "probability": 0.987548828125}, {"start": 1705.09, "end": 1706.11, "word": " تمام؟", "probability": 0.6029459635416666}, {"start": 1706.11, "end": 1706.85, "word": " المهم", "probability": 0.938720703125}, {"start": 1706.85, "end": 1708.11, "word": " العراقة", "probability": 0.595458984375}, {"start": 1708.11, "end": 1709.07, "word": " الفيزيائية", "probability": 0.9608561197916666}, {"start": 1709.07, "end": 1709.29, "word": " اللي", "probability": 0.74853515625}, {"start": 1709.29, "end": 1709.87, "word": " بتربط", "probability": 0.939453125}, {"start": 1709.87, "end": 1710.37, "word": " كتل", "probability": 0.8849283854166666}, {"start": 1710.37, "end": 1711.23, "word": " بأبعاد", "probability": 0.97109375}, {"start": 1711.23, "end": 1711.61, "word": " هي", "probability": 0.890625}, {"start": 1711.61, "end": 1712.23, "word": " الكثافات", "probability": 0.976806640625}, {"start": 1712.23, "end": 1712.61, "word": " بتلت", "probability": 0.8566080729166666}, {"start": 1712.61, "end": 1713.27, "word": " أنواعها", "probability": 0.9542236328125}, {"start": 1713.27, "end": 1714.55, "word": " تمام؟", "probability": 0.9215494791666666}], "temperature": 1.0}, {"id": 74, "seek": 174143, "start": 1715.27, "end": 1741.43, "text": "بيقولّي to find a relation عشان تعاوني ال calculus بيقولّي بدي علاقة بين M و X to find a relation between the mass اللي هي DM and the variable X we define the linear mass density خطية الرمزة Lambda وتسمى mass per unit length مش mass per unit volume", "tokens": [3555, 1829, 39648, 11703, 1829, 281, 915, 257, 9721, 6225, 8592, 7649, 37279, 995, 11536, 1829, 2423, 33400, 4724, 1829, 39648, 11703, 1829, 4724, 16254, 11203, 995, 28671, 49374, 376, 4032, 1783, 281, 915, 257, 9721, 1296, 264, 2758, 13672, 1829, 39896, 15322, 293, 264, 7006, 1783, 321, 6964, 264, 8213, 2758, 10305, 16490, 9566, 10632, 2423, 2288, 2304, 11622, 3660, 45691, 34683, 38251, 7578, 2758, 680, 4985, 4641, 37893, 2758, 680, 4985, 5523], "avg_logprob": -0.2720833420753479, "compression_ratio": 1.4714285714285715, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1715.27, "end": 1715.83, "word": "بيقولّي", "probability": 0.5587646484375}, {"start": 1715.83, "end": 1715.97, "word": " to", "probability": 0.587890625}, {"start": 1715.97, "end": 1716.39, "word": " find", "probability": 0.923828125}, {"start": 1716.39, "end": 1716.67, "word": " a", "probability": 0.90087890625}, {"start": 1716.67, "end": 1717.27, "word": " relation", "probability": 0.9912109375}, {"start": 1717.27, "end": 1718.03, "word": " عشان", "probability": 0.96435546875}, {"start": 1718.03, "end": 1718.47, "word": " تعاوني", "probability": 0.7530517578125}, {"start": 1718.47, "end": 1718.59, "word": " ال", "probability": 0.89013671875}, {"start": 1718.59, "end": 1718.95, "word": " calculus", "probability": 0.66064453125}, {"start": 1718.95, "end": 1719.33, "word": " بيقولّي", "probability": 0.8341796875}, {"start": 1719.33, "end": 1719.53, "word": " بدي", "probability": 0.8310546875}, {"start": 1719.53, "end": 1720.73, "word": " علاقة", "probability": 0.9850260416666666}, {"start": 1720.73, "end": 1721.21, "word": " بين", "probability": 0.88525390625}, {"start": 1721.21, "end": 1721.65, "word": " M", "probability": 0.73291015625}, {"start": 1721.65, "end": 1722.21, "word": " و", "probability": 0.97021484375}, {"start": 1722.21, "end": 1722.55, "word": " X", "probability": 0.8662109375}, {"start": 1722.55, "end": 1723.09, "word": " to", "probability": 0.59521484375}, {"start": 1723.09, "end": 1723.47, "word": " find", "probability": 0.93359375}, {"start": 1723.47, "end": 1723.69, "word": " a", "probability": 0.951171875}, {"start": 1723.69, "end": 1724.15, "word": " relation", "probability": 0.98095703125}, {"start": 1724.15, "end": 1724.55, "word": " between", "probability": 0.93017578125}, {"start": 1724.55, "end": 1724.85, "word": " the", "probability": 0.85693359375}, {"start": 1724.85, "end": 1725.25, "word": " mass", "probability": 0.86181640625}, {"start": 1725.25, "end": 1725.81, "word": " اللي", "probability": 0.748046875}, {"start": 1725.81, "end": 1725.95, "word": " هي", "probability": 0.82861328125}, {"start": 1725.95, "end": 1726.43, "word": " DM", "probability": 0.951171875}, {"start": 1726.43, "end": 1727.11, "word": " and", "probability": 0.8076171875}, 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new file mode 100644
index 0000000000000000000000000000000000000000..65027aa29117d8b70bfbecdb74df91689a6308d6
--- /dev/null
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@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3bc2169c70ea959325e1451371ad63f1c667845f
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y.srt
@@ -0,0 +1,1333 @@
+1
+00:00:20,670 --> 00:00:27,230
+نسمي باسم الله و نرجع لموضوعنا الأخير وهو تكملة
+
+2
+00:00:27,230 --> 00:00:30,570
+السبتر الماضي ال angular simple harmonic motion
+
+3
+00:00:30,570 --> 00:00:36,370
+فقط بدي أعمل نقل معادلة لمعادلة أخرى بالحركات
+
+4
+00:00:36,370 --> 00:00:40,630
+الدورانية فمتفقين أن ال force بيصير tau والـ x بيصير
+
+5
+00:00:40,630 --> 00:00:45,740
+theta وهكذا بصي في عندي الشرط التالي أو هو الشرط
+
+6
+00:00:45,740 --> 00:00:50,500
+التام، بس معدل الشرط التالي عشان أنا أثبت أن
+
+7
+00:00:50,500 --> 00:00:53,280
+الحركة التوافقية بسيطة إذا ما قدرتش أجيب ال force
+
+8
+00:00:53,280 --> 00:00:57,250
+بقول أجيب ال torque، إذا كان الـ torque بهذا الشكل
+
+9
+00:00:57,250 --> 00:01:01,730
+إذا بقول الحركة توافقية بسيطة، كيف تجيب omega لها؟
+
+10
+00:01:01,730 --> 00:01:05,050
+كذا حركة بقوله omega تساوي هذا اللي جبته ثابت
+
+11
+00:01:05,050 --> 00:01:08,770
+على I، و I هذه هي moment of inertia واحنا متفقين
+
+12
+00:01:08,770 --> 00:01:11,510
+زي اثنين جدول اللي قلت لكم ما تحفظوش ال moment of
+
+13
+00:01:11,510 --> 00:01:14,370
+inertia لكل الأجسام، إما بنعطيكم إياها أو بنشرحها لكم
+
+14
+00:01:14,370 --> 00:01:19,440
+إياها من مكان ثاني، تمام، جالي خلّيني أتأكد إن هذه
+
+15
+00:01:19,440 --> 00:01:22,800
+الكلام صحيح ولا لا، بدي أجيب معادلة زي هذه، والله
+
+16
+00:01:22,800 --> 00:01:26,240
+إذا هذه معادلة تشبهها من ال torque، بقول اه، الحل
+
+17
+00:01:26,240 --> 00:01:29,860
+واحد، بقول إحنا نعرف ال torque تساوي I في Alpha،
+
+18
+00:01:29,860 --> 00:01:33,800
+ذاكرين؟ هذا قانون نيوتن الثاني، بعدين F تساوي MA،
+
+19
+00:01:33,800 --> 00:01:37,140
+حلو، ال Alpha مش هو التفاضل الثاني لـ θ بالنسبة
+
+20
+00:01:37,140 --> 00:01:43,320
+للزمن، أمين، جالي الآن؟ I دي تربيع الـθيتا على دي
+
+21
+00:01:43,320 --> 00:01:43,880
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+22
+00:01:43,880 --> 00:01:44,620
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+23
+00:01:44,620 --> 00:01:46,560
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+24
+00:01:46,560 --> 00:01:47,820
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+25
+00:01:47,820 --> 00:01:56,220
+تربيع تربيع تربيع تربيع تربيع تربيع
+
+26
+00:01:56,220 --> 00:01:57,260
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+27
+00:01:57,260 --> 00:02:07,340
+تربيع تربيع تربيع تربيع تربيع تربيع
+
+28
+00:02:07,340 --> 00:02:12,890
+ثيتا بتساوي a معينة cosine أوميغا تي زائد دلتا صح ولا
+
+29
+00:02:12,890 --> 00:02:16,710
+لا؟ إذا من المنطقي إن يكون أيضاً هكذا معاملة
+
+30
+00:02:16,710 --> 00:02:21,130
+بتعطيني ثيتا بتتغير sign أو cosine والـ sign أو ال
+
+31
+00:02:21,130 --> 00:02:24,970
+cosine صفتها إنها بتكرر نفسها ولا لا؟ وهي ال
+
+32
+00:02:24,970 --> 00:02:29,390
+simple harmonic motion تكرار لنفس الحركة إلى ما لا
+
+33
+00:02:29,390 --> 00:02:35,430
+نهاية وبالتالي العملية سهلة Which is the rotational
+
+34
+00:02:35,430 --> 00:02:38,230
+analogue هذه المعادلة اللي حطيتها بديل Omega تربيع
+
+35
+00:02:38,230 --> 00:02:42,370
+هي نفسها تبعت هذه وبالتالي الحل واحد وبيكون الكلام
+
+36
+00:02:42,370 --> 00:02:46,550
+Omega بيستوي K شرطة على I زي ما احنا فاهمين تمام
+
+37
+00:02:46,550 --> 00:02:51,010
+نيجي لـ .. طبعاً عرفنا Omega من دي بالزمن الدوري هذا
+
+38
+00:02:51,010 --> 00:02:59,850
+كلام بسيط جداً البندول البسيط يتحرك
+
+39
+00:02:59,850 --> 00:03:02,130
+حركة توافقية بسيطة ولا لا؟
+
+40
+00:03:05,120 --> 00:03:09,160
+كيف بدي أثبت؟ بدي أقول الـF جدّش عليه أو الـTorque
+
+41
+00:03:09,160 --> 00:03:14,080
+جدّش عليه إذا الـF طلعت هيك أو الـTorque طلعت هيك
+
+42
+00:03:14,080 --> 00:03:19,040
+بنقول أنا صحيح ولا لا؟ ثم بقولش هو البندول البسيط؟
+
+43
+00:03:19,040 --> 00:03:23,200
+بقوله البندول البسيط هو عبارة عن consist of a
+
+44
+00:03:23,200 --> 00:03:28,000
+point mass كتلة صغيرة الحجم هذه suspended by a
+
+45
+00:03:28,000 --> 00:03:31,620
+light string خيط خفيف صح ولا لا؟ والخيط الوزن اللي
+
+46
+00:03:31,620 --> 00:03:34,560
+شافته في المعمل؟ لا، ما فيش ميزان بيجيبه إلا الميزان
+
+47
+00:03:34,560 --> 00:03:37,460
+اللي .. اللي بيجيب .. الجسد اللي بيكتبه المباراة
+
+48
+00:03:37,460 --> 00:03:41,540
+تقول .. يا ده ما يجيبه .. المهم .. والـ length ال
+
+49
+00:03:41,540 --> 00:03:45,560
+.. تمام .. قال لي خليني أشوف هذا بتحرك حركة توافقية
+
+50
+00:03:45,560 --> 00:03:48,700
+بسيطة ولا لا، وزي بتحرك جيبلي Omega .. طبعاً ال
+
+51
+00:03:48,700 --> 00:03:51,440
+Omega بتجيبها من هنا كمان .. طبعاً هذه الـ K مش تبعت
+
+52
+00:03:51,440 --> 00:03:54,420
+الزنبرك .. دي بالكم .. ما فيش زنبرك هالجهة .. K ايه
+
+53
+00:03:54,420 --> 00:04:00,660
+ثابت .. خليني أشوف هذا الجسم إيش عليه forces ماذا
+
+54
+00:04:00,660 --> 00:04:06,380
+عليه forces؟ Mg وعليه شد صح ولا لا؟ الـ Mg اللي
+
+55
+00:04:06,380 --> 00:04:11,900
+بنعرفها Mg لأسفل والشد مع الحبوب ما فيش شيء جديد؟
+
+56
+00:04:11,900 --> 00:04:18,340
+ما فيش شيء جديد قال لي هاي Mg وهيكي هذا Mg حلّته لـ
+
+57
+00:04:18,340 --> 00:04:22,360
+Mg Cos الزاوية و Mg Sin الزاوية تطلعوا على نفسكم
+
+58
+00:04:22,360 --> 00:04:27,930
+إيش هي القوة المسؤولة عن إرجاع الجسم؟ MG SIN
+
+59
+00:04:27,930 --> 00:04:31,990
+الزاوية صح ولا لا؟ إذا معناته هذي MG SIN الزاوية
+
+60
+00:04:31,990 --> 00:04:36,630
+أو المماسية صح؟ إذا بقوله الـ tangential
+
+61
+00:04:36,630 --> 00:04:40,770
+component المركبة المماسية اللي قلت لي عنها MG SIN
+
+62
+00:04:40,770 --> 00:04:46,310
+الزاوية is the restoring force هي قوة الإرجاع هي
+
+63
+00:04:46,310 --> 00:04:49,910
+القوة المسؤولة عن إرجاع الجسم because it is always
+
+64
+00:04:49,910 --> 00:04:55,410
+acts opposite to the displacement كيف فتة بزيد في
+
+65
+00:04:55,410 --> 00:04:59,820
+كيطة؟ الفيتا كيب الزيت شايفين الفيتا أنتم؟ كيب
+
+66
+00:04:59,820 --> 00:05:07,000
+الزيت طيب القوة ما حاولة ضدها يعني القوة عكس
+
+67
+00:05:07,000 --> 00:05:12,240
+الزيادة إذا القوة سالبة زي لما يكون عندي أنا جسم
+
+68
+00:05:12,240 --> 00:05:19,260
+ماشي هيك كيب الزيت اكسبعته؟ ماشي هيك ماشي جنوب
+
+69
+00:05:19,260 --> 00:05:24,050
+خلاني أقول بلاش هيك كيف بالزي دي اكس؟ جنوب طب
+
+70
+00:05:24,050 --> 00:05:27,670
+الاحتكاك كيف؟ عكس .. إذا بيكون الاحتكاك سالب عشان
+
+71
+00:05:27,670 --> 00:05:30,870
+أنه عكس اتجاه زيادة الإزاحة وهنا الإزاحة عندي
+
+72
+00:05:30,870 --> 00:05:34,870
+ثيتا بما أنه ثيتا بالزي دي هيك و Mg صيني الزاوية
+
+73
+00:05:34,870 --> 00:05:39,110
+اللي بتحكي عنها عكسك إذا المفروض يكون سالب إذا
+
+74
+00:05:39,110 --> 00:05:43,230
+نجلّي ال force بتساوي سالب Mg صيني الزاوية هذه القوة
+
+75
+00:05:43,230 --> 00:05:50,370
+المماسية حلوة اللي هو بيقولي F لازم تساوي سالب K في
+
+76
+00:05:50,370 --> 00:05:55,970
+ال X لحد الآن ما وصفتش أنا اللي بدي اياه جالي طيب for
+
+77
+00:05:55,970 --> 00:06:02,410
+small feta في معادلة هتاخذوها بال calculus بقى
+
+78
+00:06:02,410 --> 00:06:07,370
+بيقولوا sign ال feta أو خليني أذكركم شغلة في الشطر
+
+79
+00:06:07,370 --> 00:06:14,210
+الأول بال calculus goal to limit sign ال X على X
+
+80
+00:06:14,210 --> 00:06:23,310
+لما X أقول زوده ثمين أثبت لي إياها؟ كيف؟ بدنا نثبتها
+
+81
+00:06:23,310 --> 00:06:27,670
+أنا وإياكم بدنا جدول نقسم مع الزاوية نقسم مع
+
+82
+00:06:27,670 --> 00:06:32,510
+الزاوية اه صح بنكسب على اجتماع برضه
+
+83
+00:06:32,510 --> 00:06:39,380
+كيف؟ نفرد لأ طبعاً هادية منها بتنفك تنفك .. كيف
+
+84
+00:06:39,380 --> 00:06:45,780
+بتنفك؟ هذه الـ sin x فاكها x ناقص x تكعيب على 3
+
+85
+00:06:45,780 --> 00:06:50,980
+factorial plus x أس 5 .. أتسامى شوية .. هذه
+
+86
+00:06:50,980 --> 00:06:56,620
+ما أخذتوهاش؟ مجروب التلاتة ما أخذتوهاش؟ تلاتة في اثنين في
+
+87
+00:06:56,620 --> 00:07:00,140
+واحد وخمسة في أربعة في تلاتة في اثنين في واحد ..
+
+88
+00:07:00,140 --> 00:07:04,540
+هذه هتطلع عليكم هضحك هلأ شوية بس عشان أنتم ما أخذتوهاش
+
+89
+00:07:04,540 --> 00:07:09,320
+ككلس بقى فبدنا نمشيكم ده ده ده تمام جسمولي على X
+
+90
+00:07:09,320 --> 00:07:15,700
+مش مفهوم تقسيم X؟ إيش أول term هنا؟ الباقي ال
+
+91
+00:07:15,700 --> 00:07:20,640
+termات فيهم X صح؟ لما X تقول لل zero إيش بيطلع لكم؟
+
+92
+00:07:20,640 --> 00:07:28,660
+بس الواحد صحيح؟ هجد كم بدنا؟ نقنع حالنا هكذا لما X
+
+93
+00:07:28,660 --> 00:07:32,280
+تكون صغيرة، صغيرة كتير، الـ X تربيع بتصغر ولا
+
+94
+00:07:32,280 --> 00:07:38,990
+بتكبر؟ يعني X 0.1، ما جاتيش X تربيع أو point 01 إذا
+
+95
+00:07:38,990 --> 00:07:43,250
+الشغل الصغير لما ربحها تصغر أكثر تبكى عبها تصغر
+
+96
+00:07:43,250 --> 00:07:47,630
+أكثر وأكثر بيقول إذا X صغيرة كتير معناته هاد يروح
+
+97
+00:07:47,630 --> 00:07:51,150
+هاد هاد يروح وتبقى كله روح صغير كتير بيصير بصير بس
+
+98
+00:07:51,150 --> 00:07:55,170
+sign ال X بتعتبر X كيف تقنعوا حالكم؟ كل واحد معاها
+
+99
+00:07:55,170 --> 00:07:58,390
+calculator ولا لا؟ في حد معاها شاطرة تشتغل على
+
+100
+00:07:58,390 --> 00:08:05,440
+calculator؟ طلعولي واحدة شاطرة تبرع؟ لا مفيش ..
+
+101
+00:08:05,440 --> 00:08:12,080
+مفيش الـ Calculator هو تحول لي ل Radian بطلتوا؟ ل
+
+102
+00:08:12,080 --> 00:08:18,460
+Radian واحد يجيب لي Sign الـ 0.1 قد ايه بال Radian
+
+103
+00:08:18,460 --> 00:08:23,780
+Sign الـ 0.1 طبعاً الـ 0.1 صغير بس نشوف قد ايه بيطلع
+
+104
+00:08:23,780 --> 00:08:27,440
+الجواب بصوت
+
+105
+00:08:27,440 --> 00:08:32,540
+عاليل لا لا لا أنتم ما حاولتوش راجع تسعة من هدف .. تسعة
+
+106
+00:08:32,540 --> 00:08:38,680
+من هدف حلو .. حلو بس هيك؟ فيكش ورا هيكش؟ من مية ..
+
+107
+00:08:38,680 --> 00:08:41,260
+من مية .. من مية طب إيش .. إيش ورا التسعة؟ تسعة ..
+
+108
+00:08:41,260 --> 00:08:44,940
+تسعة .. برضه تسعة؟ اه وراها تمام .. تطلعوا إيش ..
+
+109
+00:08:44,940 --> 00:08:50,060
+هادي تفرق عن الـ 0.1؟ لا لو جربتوها نفس العملية ..
+
+110
+00:08:50,060 --> 00:08:55,280
+نفس العملية طيب نزلك فاتحة حط لي sign الـ 0.01
+
+111
+00:08:55,280 --> 00:08:56,020
+زغري أكثر
+
+112
+00:08:59,100 --> 00:09:02,160
+تسعة وتسعة من عشرة في عشرة في عشرة في عشرة في
+
+113
+00:09:02,160 --> 00:09:03,060
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+114
+00:09:03,060 --> 00:09:03,200
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+115
+00:09:03,200 --> 00:09:05,080
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+116
+00:09:05,080 --> 00:09:06,200
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+117
+00:09:06,200 --> 00:09:07,000
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+118
+00:09:07,000 --> 00:09:09,560
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+119
+00:09:09,560 --> 00:09:14,180
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+120
+00:09:14,180 --> 00:09:17,740
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+121
+00:09:17,740 --> 00:09:27,410
+عشرة في عشرة في Sin X تقريباً بتساوي X لأن المتبقي
+
+122
+00:09:27,410 --> 00:09:34,130
+كله بيروح بيصير حمل تم اذكروني الفصل الجاي لما
+
+123
+00:09:34,130 --> 00:09:38,470
+يدونكم يتحللوها بيسموها Taylor expansion لل
+
+124
+00:09:38,470 --> 00:09:42,370
+function هتاخذوها كلكم أصبع كلكم أصبع اللي بياخد
+
+125
+00:09:42,370 --> 00:09:48,730
+كلكم أصبع بيقول لي الـSin of فيتا هذه تُعطى بها كذا
+
+126
+00:09:48,730 --> 00:09:52,350
+علاقة، بالتالي اللي بيدور عليه في المعمل، إيش
+
+127
+00:09:52,350 --> 00:09:57,250
+كانوا جنونكم؟ اتكتروش فيتا، ذاكرين؟ عشان تكون
+
+128
+00:09:57,250 --> 00:10:01,110
+صغيرة فيتا، عشان الـSin of فيتا تكون بس فيتا،
+
+129
+00:10:01,110 --> 00:10:04,130
+وماركوش دعوة في الآخرية، تمام؟ إذا أنا الـSin of
+
+130
+00:10:04,130 --> 00:10:08,770
+فيتا هذه، شو بتحط محلها؟ بس فيتا تمام؟ إذا صار for
+
+131
+00:10:08,770 --> 00:10:13,350
+a small θ sin θ تقريباً بيساوي θ كل واحدة في الدار
+
+132
+00:10:13,350 --> 00:10:16,370
+بتشتغل طيب أنا ليش بقول لكم بأحاولوا لل radian عشان o
+
+133
+00:10:16,370 --> 00:10:20,250
+.1 يدخلوها ك radian أنتم عليّ؟ عشان كده لما
+
+134
+00:10:20,250 --> 00:10:23,290
+تروحوا على الدار ما تحطوهاش زي ما عملتي بال degree
+
+135
+00:10:23,290 --> 00:10:26,890
+أحاولوا لل radian تمام؟ ساعتها اللي دخلتوه بيطلحوه
+
+136
+00:10:26,890 --> 00:10:31,430
+نفسه جربوا الواحد وجربوا ال o.1 وجربوا ال 0.001
+
+137
+00:10:31,430 --> 00:10:34,590
+هتلاقوا كل ما زغرتوا كل ما كانت النتيجة أقرب للي
+
+138
+00:10:34,590 --> 00:10:39,280
+دخلتوها تمام؟ وأعيش بدول أنا .. أعيش بدول بقول ها
+
+139
+00:10:39,280 --> 00:10:42,860
+دي الـSin فيتا تغلبنيش فيها خليها فيتا بقول فيتا
+
+140
+00:10:42,860 --> 00:10:47,940
+بتقدر تقول إنه هذا جوس ولا مش جوس طيب إيه سطور
+
+141
+00:10:47,940 --> 00:10:55,340
+الجوس بتساوي L في فيتا صح ولا لا؟ إذا إنصرت فيتا
+
+142
+00:10:55,340 --> 00:11:03,980
+بتساوي L .. تساوي S على L صح ولا لا؟ تمام، إذا
+
+143
+00:11:03,980 --> 00:11:09,780
+بيقول لي صارت عندك المعادلة بدل فيتا حطيت S على L،
+
+144
+00:11:09,780 --> 00:11:15,320
+اتطلعوا ايه صار معايا، هذا المقدار الـC يا S هذا
+
+145
+00:11:15,320 --> 00:11:20,660
+الـCos، الـCos إزاحة، هو رايح يزاحها، تمام،
+
+146
+00:11:20,660 --> 00:11:24,200
+اتطلعوا هذه M وG وL، في واحد منهم بتغير مع الزمن؟
+
+147
+00:11:25,360 --> 00:11:31,880
+بقدر أحط محلهم K هي زبقة إذا F بتساوي سلب K والأص
+
+148
+00:11:31,880 --> 00:11:38,000
+ل هي ال X إذا القوة بتقول قطعا إن الجسم بتحرك حركة
+
+149
+00:11:38,000 --> 00:11:42,640
+توافقية بسيطة بعد ما أقول أمين بتحرك حركة توافقية
+
+150
+00:11:42,640 --> 00:11:47,100
+بسيطة بقول قد ايه Omega بقوله Omega هيها إيش بدل K
+
+151
+00:11:47,100 --> 00:11:51,990
+هيها الـK؟ MG على ال L مقسوم على M بتروح ل بيصير G
+
+152
+00:11:51,990 --> 00:11:56,190
+على ال L عشان كده كان الزمن الدوري مالو يدعو بالم في
+
+153
+00:11:56,190 --> 00:12:01,350
+المعمل اللي دعوه بإيش؟ ب G وطول الخيط وبس عشان
+
+154
+00:12:01,350 --> 00:12:04,870
+كده لو تجربتكم طلعتوها على رمالة ورغشتوا عليها
+
+155
+00:12:04,870 --> 00:12:12,490
+ريحة تتغير قيمة الزمن الدوري بيزيد هي هي المعادلة
+
+156
+00:12:12,490 --> 00:12:19,840
+روحت ما انتي كنتي في معمل؟ كان المفروض انتي وصحابك
+
+157
+00:12:19,840 --> 00:12:23,880
+تاخد كتلة مختلفة وتحسب هتلاقوها نفس اللي .. لا هي
+
+158
+00:12:23,880 --> 00:12:25,820
+بالكامل مش صحيح تتقفل احكي
+
+159
+00:12:30,750 --> 00:12:34,250
+ذات في الزمن الدوري .. اه طبعاً .. على اعتبار أن G
+
+160
+00:12:34,250 --> 00:12:37,390
+ثابت وكلّكم اشتغلتوا صح .. مش واحدة تكون ساعتها
+
+161
+00:12:37,390 --> 00:12:40,570
+عيانة وواحدة ساعتها مش عارف كده .. أكون اه .. كنت
+
+162
+00:12:40,570 --> 00:12:44,390
+لقطعا .. هيها .. ما فيش عندي M .. إذا بقول .. we
+
+163
+00:12:44,390 --> 00:12:48,670
+have simple harmonic motion .. اول ما وصلت انه قفت
+
+164
+00:12:48,670 --> 00:12:52,190
+تساوي سالب ثابت فيه زاحة .. قلت إذا عندي simple
+
+165
+00:12:52,190 --> 00:12:57,000
+harmonic motion .. طيب .. الـ K تبعت هي M G على L
+
+166
+00:12:57,000 --> 00:13:01,220
+الثابت وبالتالي بيقول أوميغا بتساوي K على M ولا K
+
+167
+00:13:01,220 --> 00:13:06,240
+G على L بتعتمد على M؟ بتعتمدش على M ولا عنزة ولا
+
+168
+00
+
+216
+00:17:07,270 --> 00:17:11,270
+صين الزاوية في L الذراع وبالتالي كمان مرة لما
+
+217
+00:17:11,270 --> 00:17:15,470
+theta is small صين theta هي نفس theta فطلعت بهذا
+
+218
+00:17:15,470 --> 00:17:21,250
+الصيغة MgL هو الثابت وهو K شرطة إذا تو بيساوي K
+
+219
+00:17:21,250 --> 00:17:26,230
+شرطة في theta with K شرطة equal MgL وبالتالي Omega
+
+220
+00:17:26,230 --> 00:17:34,270
+بيساوي G على L زي ما هو مافيش إيش G المثال اللي
+
+221
+00:17:34,270 --> 00:17:39,050
+علها كذا مسألة جالي لو جيبت حديدة أو مصطرة بلاش
+
+222
+00:17:39,050 --> 00:17:42,830
+حديدة كل واحد عنده مصطرة مظبوط ولا لأ مش فيه خروج
+
+223
+00:17:43,820 --> 00:17:47,060
+لو جبته الخروج و حطته بصمار معلق في الحيطة و عملته
+
+224
+00:17:47,060 --> 00:17:51,900
+في المصطلح هيك ايه تتوقع انه يحصل؟ هطلع رايحة جاية
+
+225
+00:17:51,900 --> 00:17:55,440
+إذا أنا بتوقع انه لو جبت عليها ال force أو ال
+
+226
+00:17:55,440 --> 00:17:59,700
+torque لازم يكون اما ال torque يساوي K شرطة في θ أو
+
+227
+00:17:59,700 --> 00:18:05,230
+ال force يساوي سالب K في ال X تمام؟ جالي .. هدى
+
+228
+00:18:05,230 --> 00:18:08,370
+بسموه مصرة أو حديدة .. compound pendulum ..
+
+229
+00:18:08,370 --> 00:18:11,410
+البندول .. هداك simple pendulum أو لا .. هدا ..
+
+230
+00:18:11,410 --> 00:18:14,830
+بندول بسيط .. هدا بندول مركّب أو معقد أو .. المهم
+
+231
+00:18:14,830 --> 00:18:19,070
+.. تمام؟ عشان الشوة بقولي .. any rigid body ..
+
+232
+00:18:19,070 --> 00:18:22,670
+مصرة، حديدة، خشبة، اللي بدكم إياها .. any rigid
+
+233
+00:18:22,670 --> 00:18:27,590
+body .. mounted علقة .. so that .. it can swing ..
+
+234
+00:18:27,590 --> 00:18:32,050
+تتمرجح على أي حاجة ..في طرق عضوية في بعض الاتصالات
+
+235
+00:18:32,050 --> 00:18:35,610
+التي تمر من خلالها يسمى كـ Physical Pendulum إذا
+
+236
+00:18:35,610 --> 00:18:38,330
+ما هو Physical Pendulum أو Compound Pendulum مرات
+
+237
+00:18:38,330 --> 00:18:41,970
+بيسموه Pendulum الفيزيائي أو المركب أي حاجة قطعة
+
+238
+00:18:41,970 --> 00:18:45,730
+علّقها في الحيطة و خليها رايحة جاية هذه بيسموها
+
+239
+00:18:45,730 --> 00:18:50,990
+Pendulum الفيزيائي أو المركب تمام؟ أو Compound
+
+240
+00:18:50,990 --> 00:18:55,170
+Pendulum تمام هيها؟ هذي بتحط مصرا معوشة خشبة أي
+
+241
+00:18:55,170 --> 00:18:59,700
+خشبة تمام أي واحد؟ بيقوللي هي معلجة من هناورأي
+
+242
+00:18:59,700 --> 00:19:03,920
+حاجة يعني .. طبعا في البندون البسيط جيبت ال F و
+
+243
+00:19:03,920 --> 00:19:06,980
+جيبت ال torque .. و في الحالتين ضبطت معايا .. هنا
+
+244
+00:19:06,980 --> 00:19:10,840
+لو بدي أجيب ال F هيغلبني .. ليش؟ لأن ال F هناك كان
+
+245
+00:19:10,840 --> 00:19:14,860
+في شد .. و كان NG .. هناك مش في قوة على الخشبة هذه
+
+246
+00:19:16,630 --> 00:19:20,070
+أحكوا بصوت عالي و فينا .. ايه .. ايه .. ايه .. ايه
+
+247
+00:19:20,070 --> 00:19:26,830
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+248
+00:19:26,830 --> 00:19:27,430
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+249
+00:19:27,430 --> 00:19:30,890
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+250
+00:19:30,890 --> 00:19:30,930
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+251
+00:19:30,930 --> 00:19:30,990
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+252
+00:19:30,990 --> 00:19:38,770
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايقوة
+
+253
+00:19:38,770 --> 00:19:42,370
+المصمار عليها و قوة المصمار كيف اتجاهها؟ كهك ..
+
+254
+00:19:42,370 --> 00:19:44,630
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+255
+00:19:44,630 --> 00:19:46,230
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+256
+00:19:46,230 --> 00:19:49,970
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+257
+00:19:49,970 --> 00:19:50,850
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+258
+00:19:50,850 --> 00:19:53,110
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+259
+00:19:53,110 --> 00:19:57,060
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك طيب
+
+260
+00:19:57,060 --> 00:19:59,980
+هو .. وإن كل الطرق تؤدي إلى روم .. فبالنهاية أنا
+
+261
+00:19:59,980 --> 00:20:05,320
+بدي معاجلة تثبت إن الحركة توفقية بسيطة بيقولّي the
+
+262
+00:20:05,320 --> 00:20:09,760
+torque about point O is provided by the force of
+
+263
+00:20:09,760 --> 00:20:14,280
+gravity بس .. بس ال MG أما دي تبعات المصمم روحت ..
+
+264
+00:20:14,280 --> 00:20:18,320
+تعملش torque .. بحكي عربي؟ فاهمين يعني .. طيب
+
+265
+00:20:18,320 --> 00:20:23,300
+الحمد لله بقوله الـ torque بيسوي القوة في الذراع
+
+266
+00:20:23,300 --> 00:20:28,380
+حلو؟ هي القوة كيف بدي أجيب ذراعها؟ بدي أمد، أمد،
+
+267
+00:20:28,380 --> 00:20:30,300
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+268
+00:20:30,300 --> 00:20:31,720
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+269
+00:20:31,720 --> 00:20:34,280
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+270
+00:20:34,280 --> 00:20:37,160
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+271
+00:20:37,160 --> 00:20:39,240
+أمد، أمد، أمد، أمد،
+
+272
+00:20:45,920 --> 00:20:52,620
+بالتبادل، صحيح؟ التقابل براعص، راسي براعص، ايه؟
+
+273
+00:20:52,620 --> 00:20:56,380
+أصلًا تقابل، هالتبادل، حرف الـZ، مش كانوا يعلمونا
+
+274
+00:20:56,380 --> 00:21:02,520
+هي حرف الـZ، فالـZ هي التبادل اه Z هدا هي بيقول ال
+
+275
+00:21:02,520 --> 00:21:07,060
+torque بيساوي M G D Sine الزاوية والسالي بنفس
+
+276
+00:21:07,060 --> 00:21:11,500
+العملية الزاوية بتطلع هيك و M G بنزلها لأسفل جالي
+
+277
+00:21:11,500 --> 00:21:16,760
+كمان مرة for θ is small اللي بدينا نقتنع فيها و
+
+278
+00:21:16,760 --> 00:21:18,900
+هتاخدوها تفاصيلة إن شاء الله تفاصيلتي جاي كيف
+
+279
+00:21:18,900 --> 00:21:23,570
+بتجيبوا الملاحظة أو المعادلة اللي كتبت أنا نستطيع
+
+280
+00:21:23,570 --> 00:21:31,390
+مجدداً تقرير صين ثتا بثتا مع تقرير الصين ثتا بثتا
+
+281
+00:21:31,630 --> 00:21:36,350
+طالع اللي في الجوس Mg وD ثوابت يتعامل ثوانا إذا
+
+282
+00:21:36,350 --> 00:21:39,890
+كشرطة إذا هي حركة توفقية بسيطة عشان كده بقول
+
+283
+00:21:39,890 --> 00:21:44,310
+المصر دلّك رايحة جاية مافيش هوا ومافيش احتكاك تجفش
+
+284
+00:21:44,310 --> 00:21:47,090
+طبعا بوقفها في الآخر في احتكاكات وفي هوا ومش عارف
+
+285
+00:21:47,090 --> 00:21:50,930
+ايش طيب قال ليه؟ this .. the motion is a harmonic
+
+286
+00:21:50,930 --> 00:21:56,130
+motion and the torque constant كشرطة هي MgD the
+
+287
+00:21:56,130 --> 00:21:59,340
+angular frequency مين هو نجيبه؟ قال لي مين هو؟ عشان
+
+288
+00:21:59,340 --> 00:22:02,560
+أجيبلك، بدك تعطيني هذه ولا لا؟ بدك تعطيني هذه إذا
+
+289
+00:22:02,560 --> 00:22:06,680
+لازم أعرف ال I طبعا شكل زي هذا صعب يعرف ال I في
+
+290
+00:22:06,680 --> 00:22:10,320
+جدول مش موجود صحيح ولا لأ؟ لأنه شكل مش منتظر هذا
+
+291
+00:22:10,320 --> 00:22:15,320
+بيقول لي أم جاب يساوي K شرطة على I ويساوي MGD على I
+
+292
+00:22:15,320 --> 00:22:21,440
+وزمن الدولة نرجع الآن مثال، أخر شيء بعد كده كله
+
+293
+00:22:21,440 --> 00:22:26,900
+متاحي الباقي، بنحكي عنه حكي بسهذا الشكل الأعواج
+
+294
+00:22:26,900 --> 00:22:30,240
+اللي جيبتكم إياه بصورة عامة بدي أخليه مصطر الأعز،
+
+295
+00:22:30,240 --> 00:22:34,520
+المصطر عدلة، بيقولّي a uniform road، uniform road،
+
+296
+00:22:34,520 --> 00:22:38,080
+إيش بيفرق عن هداك؟ اللي بيفرق إنه I تبعته موجودة
+
+297
+00:22:38,080 --> 00:22:42,340
+في جدوليه، في الجدول أنا شرحتلكم إياها واشتققنا I
+
+298
+00:22:42,340 --> 00:22:45,780
+لهذا المكان، اشتققناه مرتين، لما يكون محور الدوران
+
+299
+00:22:45,780 --> 00:22:49,060
+في النصر و لما يكون محور الدوران في الطريف، طب إيش
+
+300
+00:22:49,060 --> 00:22:51,180
+هاخدها الجيد؟ على الطريف ولا في النصر، محور
+
+301
+00:22:51,180 --> 00:22:56,990
+الدوران؟ محور الدوران شو هو؟ المصمار .. وين المصمار
+
+302
+00:22:56,990 --> 00:22:59,770
+موجود؟ على الطرف .. إذا واحد ع تلاتة ولا واحد ع
+
+303
+00:22:59,770 --> 00:23:05,510
+اتنائش؟ واحد على .. ع تلاتة ولا اتنائش؟ واحد ع
+
+304
+00:23:05,510 --> 00:23:08,690
+اتنائش أظن .. مش مهم .. مش حكتها .. مش حاطة .. مش
+
+305
+00:23:08,690 --> 00:23:13,250
+حافظينها .. عيد .. شو مش فاهمة؟ عيد .. إيش بيفرق
+
+306
+00:23:13,250 --> 00:23:19,730
+هدا عن هدى؟ كل شي زي ما هو .. اللي بيفرق هدى I
+
+307
+00:23:19,730 --> 00:23:24,830
+تبعتي تختلف من جسم لجسم باعتمد على شكل الجسم جون
+
+308
+00:23:24,830 --> 00:23:30,930
+ال disk غير عن الرد غير عن الكرة غير عن المستطيل
+
+309
+00:23:30,930 --> 00:23:34,750
+تمام فانا اللي معلج عندي اللي هو الرد معناته I
+
+310
+00:23:34,750 --> 00:23:39,130
+تبعتي بشحتها من الجدول اللي موجود في سابعة العشرة
+
+311
+00:23:39,690 --> 00:23:43,470
+في جدولة في سبتمبر عشرة موجود كل شكل وجدش أيه
+
+312
+00:23:43,470 --> 00:23:48,590
+تبعته و قولتلكم ما تحفظوهاش نعطيكم إياها بس بنقدر
+
+313
+00:23:48,590 --> 00:23:52,250
+نجعلها موجودة عينكم و اشتقت أنا وياكم تلاتة أظنها
+
+314
+00:23:52,250 --> 00:23:56,010
+يومتها اشتقت اتنين تفصيل أنا واحد تفوي تبع ال ring
+
+315
+00:23:56,010 --> 00:23:59,880
+زي اللي كنتوا ذاكلين وبالتالي أنا اشتقتها هو متفقين
+
+316
+00:23:59,880 --> 00:24:02,980
+أنه مش مطلوب منكم تفصيل اشتقاقات في هذه الشغلة
+
+317
+00:24:02,980 --> 00:24:07,820
+بالذات لأنه شوية ال math بتكسبها متقدم يعني بده
+
+318
+00:24:07,820 --> 00:24:11,900
+calculus B أكتر من calculus A تمام فبالتالي
+
+319
+00:24:11,900 --> 00:24:17,470
+بيقوللي تلت طلعت اه دي ساوي تلت ام ال square عند
+
+320
+00:24:17,470 --> 00:24:21,190
+الطرف تمام since the rod is uniform then the
+
+321
+00:24:21,190 --> 00:24:23,970
+distance D جالي ليه لما يكون uniform دي بيساوي نص
+
+322
+00:24:23,970 --> 00:24:28,730
+ال برضه جيبتكم ياها تمام جالي ليه إذا معناته Omega
+
+323
+00:24:28,730 --> 00:24:32,650
+بيساوي MGD على I توي حكيت بتعوض محلي الآن محلي ال
+
+324
+00:24:32,650 --> 00:24:37,570
+D نص ال ومحلي ال I تلت M التربية فطلعت جديش Omega
+
+325
+00:24:37,570 --> 00:24:41,870
+للمصطره تبعتي تمام هيك تمام
+
+326
+00:24:44,810 --> 00:24:47,610
+الـ Damped Oscillations هذا optional بس بقى بدي
+
+327
+00:24:47,610 --> 00:24:52,530
+أحكيلكم شوية عليه، إيش معناه الـ Damp؟ الـ D ..
+
+328
+00:24:52,530 --> 00:24:57,190
+الشيء الـ D أول .. الـ D مش المسافة ما بين الـ
+
+329
+00:24:57,190 --> 00:25:00,830
+Center of Mass و المصمار لما يكون الرد منتظم، الـ
+
+330
+00:25:00,830 --> 00:25:07,890
+D نص الإله .. فهمتيها؟ حلو، تمام الـ Damping أو الـ
+
+331
+00:25:07,890 --> 00:25:11,250
+Damp Oscillation بالمعنى اللغوي هي عبارة عن الحركة
+
+332
+00:25:11,250 --> 00:25:15,650
+المخمودة، اللي في النهاية بتوقف يعني. طيب، بتضحك
+
+333
+00:25:15,650 --> 00:25:24,310
+عنها بس، بتضحك عنها، بتضحك عنها. الآن، البندول
+
+334
+00:25:24,310 --> 00:25:29,070
+البسيط اللي عملته في المعمل، مش في الآخر وقف، عشان
+
+335
+00:25:29,070 --> 00:25:32,450
+كده بيقول عنه Damping، صلوا Damp Oscillation،
+
+336
+00:25:32,450 --> 00:25:37,240
+بيضلش إلى ما لا نهاية. طب إيش اللي وقفوا؟ مقاومة
+
+337
+00:25:37,240 --> 00:25:41,660
+الهواء والاحتكاكات إذا في قوة غير الجاذبية الأرضية
+
+338
+00:25:41,660 --> 00:25:46,020
+في الرياضيات بيقولوا let us assume that the
+
+339
+00:25:46,020 --> 00:25:48,220
+frictional force is proportional to the velocity
+
+340
+00:25:48,220 --> 00:25:51,560
+نفترض ان عندي زنبراك ومحطوط على الطاولة نعمى
+
+341
+00:25:51,560 --> 00:25:56,340
+الطاولة هدو ولا فيها احتكاك؟ نعمى يعني احتكاك هسفر
+
+342
+00:25:56,340 --> 00:26:02,050
+زي ال air table في المعمل طاولة مش نعمة، تتوقفوا من
+
+343
+00:26:02,050 --> 00:26:04,690
+نعمة باللغة تبعتنا نعمة وخشن، نعمة يعني هتاتش
+
+344
+00:26:04,690 --> 00:26:08,470
+friction، هتاتش friction هنا؟ يعني هل بقدر أجود من
+
+345
+00:26:08,470 --> 00:26:13,390
+مسألة smooth surface؟ لأ طبعا، هي معنات نعمة،
+
+346
+00:26:13,390 --> 00:26:18,980
+تمام؟ هب انه الاحتكاك موجود و دائما يا بنات قوة
+
+347
+00:26:18,980 --> 00:26:24,220
+المقاومة احتكاك ولا مقاومة الهواء دائما بتتناسب مع
+
+348
+00:26:24,220 --> 00:26:27,860
+الصراعة لما تفتحوا السيارة و تكونوا شوبارين إيش
+
+349
+00:26:27,860 --> 00:26:30,680
+بتقول للسواج؟ افتح الشبك .. افتح الشبك .. غير نفسك
+
+350
+00:26:30,680 --> 00:26:34,200
+افتح الشبك واجف .. بنفع يدله واجف وهتح الشبك لكن
+
+351
+00:26:34,200 --> 00:26:37,960
+لو اتحرك بيجي الهواء كل ما زاد صراعته هواء بزيد
+
+352
+00:26:37,960 --> 00:26:41,780
+ولا لا؟ طبعا الهواء هو مقاومة الهواء إذا مقاومة
+
+353
+00:26:41,780 --> 00:26:45,450
+الهواء بتعتمد على الصراعة في كل ما زادت السرعة
+
+354
+00:26:45,450 --> 00:26:49,690
+المقاومة بالـ z جاللي هب ان هذه المقاومة بتعتمد
+
+355
+00:26:49,690 --> 00:26:54,370
+على السرعة بيصير ال force تبعتك بيساوي سالب b في v
+
+356
+00:26:54,370 --> 00:26:58,690
+بي ثابت و ال v السرعة وبالتالي where v is the
+
+357
+00:26:58,690 --> 00:27:01,610
+velocity and v is a constant بيصير ال total force
+
+358
+00:27:01,610 --> 00:27:05,090
+acting on the system بتتطل بس تبعت الزمبرة او تبعت
+
+359
+00:27:05,090 --> 00:27:09,010
+الجاذبية بنضاف لها هذا ال tier وهذا ال tier هو dx
+
+360
+00:27:09,010 --> 00:27:12,940
+على dt لما أدي أعمل معاجلة هيك بيصيرالكلمة هذا
+
+361
+00:27:12,940 --> 00:27:16,680
+نضعف بيقولي هذه حالها بطل X بيسوي A Cos Omega T زي
+
+362
+00:27:16,680 --> 00:27:20,880
+الـ Delta اللي عملتليها هنا، هذه بتحلش هذي، قاللي
+
+363
+00:27:20,880 --> 00:27:24,500
+هذه كيف حلها؟ قاللي هذه حالها لو يتحليتها، و اللي
+
+364
+00:27:24,500 --> 00:27:30,300
+مش مطلوب منكم حلها، يصير هيك حلها الطب
+
+365
+00:27:30,300 --> 00:27:34,120
+ماعيش أفرجات، قاللي هادي، شوف ال amplitude يا بنات
+
+366
+00:27:34,120 --> 00:27:36,460
+ال amplitude، ال amplitude بعتمد على الزمن ولا
+
+367
+00:27:36,460 --> 00:27:40,390
+بعتمدش على الزمان؟ بعتمد على الزمن، بقتل ثابت ال
+
+368
+00:27:40,390 --> 00:27:44,250
+sign و ال cosine، ال amplitude تبعه ثابت، بس ده ال
+
+369
+00:27:44,250 --> 00:27:47,730
+amplitude تبعه قاعد بنقص فلو جيت رسمتها كده
+
+370
+00:27:47,730 --> 00:27:51,550
+معادلة، شوف ال amplitude يتصار، بهتز، لكن في
+
+371
+00:27:51,550 --> 00:27:58,170
+النهاية مش مصيفين، بموت، بنخمد فصار عملية هزه مرتين
+
+372
+00:27:58,170 --> 00:28:02,870
+تلاتة وبعدين بينام هيك بنكون أنهينا هذا الفصل إن
+
+373
+00:28:02,870 --> 00:28:07,110
+شاء الله وخلصنا اتناشر شهر أكتر إن شاء الله مايكون
+
+374
+00:28:07,110 --> 00:28:12,540
+أكتر عليكم الفصل الجاي اللي بده يكمل معانا فيزيا
+
+375
+00:28:12,540 --> 00:28:15,980
+هتكون فيزيا عامة باب تتعلق بالكهروميغناطيسية
+
+376
+00:28:15,980 --> 00:28:19,340
+المجال الكهربائي والمجال الميغناطيسي بكل تفاصيله
+
+377
+00:28:19,340 --> 00:28:24,220
+إن شاء الله المادة نفسها تقريبا بنفس المستوى اللي
+
+378
+00:28:24,220 --> 00:28:27,940
+بيفهم فيزيا قريب بتكون فيزيا باب معقولة له إن شاء
+
+379
+00:28:27,940 --> 00:28:31,400
+الله بنشوفكم كلكم الفصل الجاي وعلاماتكم زي ما بدكم
+
+380
+00:28:31,400 --> 00:28:34,240
+إياها اللي بده ستين يجيب ستين واللي بده تسعين يجيب
+
+381
+00:2
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ed3f04e5fb3349513d651d8b46213415b4fda181
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y_postprocess.srt
@@ -0,0 +1,1524 @@
+1
+00:00:20,670 --> 00:00:27,230
+نسمي باسم الله و نرجع موضوعنا الأخير هو تكملة
+
+2
+00:00:27,230 --> 00:00:30,570
+الاسبتر الماضي ال angular simple harmonic motion
+
+3
+00:00:30,570 --> 00:00:36,370
+فقط بدي أعمل نقل معادلة لمعادلة أخرى بالحركات
+
+4
+00:00:36,370 --> 00:00:40,630
+دورانية فمتفقين أن ال force بيصير tau ال x بيصير
+
+5
+00:00:40,630 --> 00:00:45,740
+theta و هكذابصي في عندي الشرط التالك او هو الشرط
+
+6
+00:00:45,740 --> 00:00:50,500
+التامي بس معدل الشرط التالك عشان انا اثبت ان
+
+7
+00:00:50,500 --> 00:00:53,280
+الحركة التوفيقية بسيطة اذا ماقدرتش اجيب ال force
+
+8
+00:00:53,280 --> 00:00:57,250
+بقول اجيب ال torqueإذا كان الـ torque بهذا الشكل
+
+9
+00:00:57,250 --> 00:01:01,730
+إذا بقول الحركة توافقية بسيطة كيف تجيب omega لها
+
+10
+00:01:01,730 --> 00:01:05,050
+كذا حركة بقوله omega بالساوية هذا اللي جيبته ثابت
+
+11
+00:01:05,050 --> 00:01:08,770
+على I و I هذه هي moment of inertia و احنا متفقين
+
+12
+00:01:08,770 --> 00:01:11,510
+زي اتنين جدول اللي قلتلكم ماتحفظهوش ال moment of
+
+13
+00:01:11,510 --> 00:01:14,370
+inertia لكل الأيسام إما بنعطيكم إياها أو بنشحتكم
+
+14
+00:01:14,370 --> 00:01:19,440
+إياها من مكان تاني تمامجالي خلّيني أتأكد إن هذه
+
+15
+00:01:19,440 --> 00:01:22,800
+الكلام صحيح ولا لا، بدي أجيب معادلة زي هذه، والله
+
+16
+00:01:22,800 --> 00:01:26,240
+إذا هذه معادلة تشبهها من ال torque، بقول أه، الحل
+
+17
+00:01:26,240 --> 00:01:29,860
+واحد، بقول إحنا نعرف ال torque بسوء I في Alpha،
+
+18
+00:01:29,860 --> 00:01:33,800
+ذاكرين؟ هذا قانون النيتر التاني، بعدين F بسوء MA،
+
+19
+00:01:33,800 --> 00:01:37,140
+حلو، ال Alpha مش هو التفاضل التاني ل θ بالنسبة
+
+20
+00:01:37,140 --> 00:01:43,320
+للزمن، أمين، جالي الآن؟I دي تربيع الـθيتا على دي
+
+21
+00:01:43,320 --> 00:01:43,880
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+22
+00:01:43,880 --> 00:01:44,620
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+23
+00:01:44,620 --> 00:01:46,560
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+24
+00:01:46,560 --> 00:01:47,820
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+25
+00:01:47,820 --> 00:01:56,220
+تربيع تربيع تربيع تربيع تربيع تربيع
+
+26
+00:01:56,220 --> 00:01:57,260
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+27
+00:01:57,260 --> 00:02:07,340
+تربيع تربيع تربيع تربيع تربيع تربيع
+
+28
+00:02:07,340 --> 00:02:12,890
+تثيتا بتسوي a معينة cosine أمجتي زائد دلتا صح ولا
+
+29
+00:02:12,890 --> 00:02:16,710
+لأ؟ إذا من المنطقي إن يكون أيضا هكذا معاجلة
+
+30
+00:02:16,710 --> 00:02:21,130
+بتعطيني ثيتا بتتغير sign أو cosine و ال sign أو ال
+
+31
+00:02:21,130 --> 00:02:24,970
+cosine صفتها إنها بتكرر حالها ولا لأ؟ وهي ال
+
+32
+00:02:24,970 --> 00:02:29,390
+simple harmonic motion تكرار لنفس الحركة إلى مالة
+
+33
+00:02:29,390 --> 00:02:35,430
+نهاية وبالتالي العملية سهلةWhich is the rotational
+
+34
+00:02:35,430 --> 00:02:38,230
+analogue هذه المعادلة اللي بحطت بديل Omega تربية
+
+35
+00:02:38,230 --> 00:02:42,370
+هي نفسها تبعت هذه وبالتالي الحل واحد وبيكون الكلام
+
+36
+00:02:42,370 --> 00:02:46,550
+Omega بيستوي K شرط على I زي ما احنا فاهمين تمام
+
+37
+00:02:46,550 --> 00:02:51,010
+نيجي ل .. طبعا عرفنا Omega من دي بالزمن الدوري هذا
+
+38
+00:02:51,010 --> 00:02:59,850
+كلام بسيط جداالبندولي البسيط يتحرك
+
+39
+00:02:59,850 --> 00:03:02,130
+حركة توفقية بسيطة ولا لأ؟
+
+40
+00:03:05,120 --> 00:03:09,160
+كيف بدي أثبت؟ بدي أقول الـF جدّش عليه أو الـTorque
+
+41
+00:03:09,160 --> 00:03:14,080
+جدّش عليه إذا الـF طلعت هيك أو الـTorque طلعت هيك
+
+42
+00:03:14,080 --> 00:03:19,040
+بنقول أنا صحيح ولا لأ؟ ثم بقولش هو البندول البسيط؟
+
+43
+00:03:19,040 --> 00:03:23,200
+بقوله البندول البسيط هو عبارة عن consist of a
+
+44
+00:03:23,200 --> 00:03:28,000
+point mass كتلة صغيرة الحبرة هذه suspended by a
+
+45
+00:03:28,000 --> 00:03:31,620
+light string خيط صحيح ولا لأ؟ و الخيط الوزن اللي
+
+46
+00:03:31,620 --> 00:03:34,560
+شفته في المعمل؟ لأ، مافيش ميزان بيجيبه إلا الميزان
+
+47
+00:03:34,560 --> 00:03:37,460
+اللي ..اللي بيجيب .. الجسد اللي بيكتبه المباراة
+
+48
+00:03:37,460 --> 00:03:41,540
+تقول .. يا ده ما يجيبه .. المهم .. و ال length ال
+
+49
+00:03:41,540 --> 00:03:45,560
+.. تمام .. قال لي خليني أشوف هذا بتحرك حركة توفقية
+
+50
+00:03:45,560 --> 00:03:48,700
+بسيطة و لا لا و زي بتحرك جيبلي Omega .. طبعا ال
+
+51
+00:03:48,700 --> 00:03:51,440
+Omega بتجيبها من هنا كمان .. طبعا هذه ال K مش تبع
+
+52
+00:03:51,440 --> 00:03:54,420
+الزنبارك .. دي بالكم .. فيش زنبارك هالجهة .. K أيه
+
+53
+00:03:54,420 --> 00:04:00,660
+ثابت .. خليني أشوف هذا الجسم إيش عليه forcesماذا
+
+54
+00:04:00,660 --> 00:04:06,380
+عليه forces؟ Mg وعليه شد صحيح ولا لأ؟ الـ Mg اللي
+
+55
+00:04:06,380 --> 00:04:11,900
+بنعرفها Mg لأسفل والشد مع الحبوب مافيش أشي جديد؟
+
+56
+00:04:11,900 --> 00:04:18,340
+مافيش أشي جديد قال لي هاي Mg وهيكي هذا Mg حلته ل
+
+57
+00:04:18,340 --> 00:04:22,360
+Mg Cos الزاوية و Mg Sin الزاوية تطلعوا على نفسكما
+
+58
+00:04:22,360 --> 00:04:27,930
+إيش هي القوة المسؤولة عن إرجاع الجسم؟MG-SIN
+
+59
+00:04:27,930 --> 00:04:31,990
+الزاوية صح ولا لا؟ إذا معناته هذي MG-SIN الزاوية
+
+60
+00:04:31,990 --> 00:04:36,630
+أم الممسية صحيح؟ إذا بقوله الـ tangential
+
+61
+00:04:36,630 --> 00:04:40,770
+component المركبة الممسية اللي قلتولي عنها MG-SIN
+
+62
+00:04:40,770 --> 00:04:46,310
+الزاوية is the restoring force هي قوة الإرجاع هي
+
+63
+00:04:46,310 --> 00:04:49,910
+القوة المسؤولة عن إرجاع الجسم because it is always
+
+64
+00:04:49,910 --> 00:04:55,410
+acts opposite to the displacement كيف فتة بزيد في
+
+65
+00:04:55,410 --> 00:04:59,820
+كيطة؟الفيتا كيب الزيت شايفين الفيتا انتوا؟ كيب
+
+66
+00:04:59,820 --> 00:05:07,000
+الزيت طيب القوة ما حاولة ضدها يعني القوة عكس
+
+67
+00:05:07,000 --> 00:05:12,240
+الزيادة إذا القوة سالبة زي لما يكون عندي أنا جسم
+
+68
+00:05:12,240 --> 00:05:19,260
+ماشي هيك كيب الزيت اكسبعته؟ ماشي هيك ماشي جنوب
+
+69
+00:05:19,260 --> 00:05:24,050
+خلاني أقول بلاش هيككيف بالزي دي اكس؟ جنوب طب
+
+70
+00:05:24,050 --> 00:05:27,670
+الاحتكاك كيف؟ عكس .. اذا بيكون الاحتكاك سالب عشان
+
+71
+00:05:27,670 --> 00:05:30,870
+انه عكس اتجاه زيادة الإزاحة و هنا الإزاحة عندى
+
+72
+00:05:30,870 --> 00:05:34,870
+ثيتا بما انه ثيتا بالزي دي هيك و Mg صيني الزاوية
+
+73
+00:05:34,870 --> 00:05:39,110
+اللى بتحكي عنها عكسك إذا المفروض يكون سالب إذا
+
+74
+00:05:39,110 --> 00:05:43,230
+نجلّي ال force بسوى سالب Mg صيني الزاوية هذه القوة
+
+75
+00:05:43,230 --> 00:05:50,370
+المماسية حلوةاللي هو بيقولي F لازم تساوي سالب K في
+
+76
+00:05:50,370 --> 00:05:55,970
+ال X لحد الآن ماوصفتش أنا اللي بديه جالي طيب for
+
+77
+00:05:55,970 --> 00:06:02,410
+small feta في معادلة هتاخدوها بال calculus بقى
+
+78
+00:06:02,410 --> 00:06:07,370
+بيقولوا sign ال feta أو خليني أذكركم شغلة في الشطر
+
+79
+00:06:07,370 --> 00:06:14,210
+الأول بال calculus goal to limit sign ال X على X
+
+80
+00:06:14,210 --> 00:06:23,310
+لما X أقول زوردهشمين اثبت ليها؟ كيف؟ بدنا نثبتها
+
+81
+00:06:23,310 --> 00:06:27,670
+أنا وياكم بدنا جدول نقسم مع الزاوية نقسم مع
+
+82
+00:06:27,670 --> 00:06:32,510
+الزاوية اه صح بنكسب على اجتماع برضه
+
+83
+00:06:32,510 --> 00:06:39,380
+كيف؟ نفرد لأ طبعا هادية منها بتنفكبتنفك .. كيف
+
+84
+00:06:39,380 --> 00:06:45,780
+بتنفك؟ هذه الـ sin x فاكها x ناقص x تكعيب ع 3
+
+85
+00:06:45,780 --> 00:06:50,980
+factorial plus x أُس 5 .. أتسانى شوية .. هذي
+
+86
+00:06:50,980 --> 00:06:56,620
+ماختهوش؟ مجروب التلاتة ماختهوش؟ تلاتة في اتنين في
+
+87
+00:06:56,620 --> 00:07:00,140
+واحد وخمسة في اربعة في تلاتة في اتنين في واحد ..
+
+88
+00:07:00,140 --> 00:07:04,540
+هذي هتطلع علياهدحك هلأ شوية بس عشان انتوا ماخدتاش
+
+89
+00:07:04,540 --> 00:07:09,320
+كقلص بقى فبدنا نمشيكم ده ده ده تمام جسمولي على X
+
+90
+00:07:09,320 --> 00:07:15,700
+مش مفهوم تقسيم X؟ إيش أول term هنا؟ الباقي ال
+
+91
+00:07:15,700 --> 00:07:20,640
+termات فيهم X صح؟ لما X تقول لل zero إيش بيطلعنكم؟
+
+92
+00:07:20,640 --> 00:07:28,660
+بس الواحد صحيح؟ هجد كم بدنا؟ نقنع حالنا هكذالما X
+
+93
+00:07:28,660 --> 00:07:32,280
+تكون صغيرة، صغيرة كتير، الـ X سربيع بتصغر ولا
+
+94
+00:07:32,280 --> 00:07:38,990
+بتكبر؟ يعني X 0.1، ما جاتيش X سربيعأو point 01 إذا
+
+95
+00:07:38,990 --> 00:07:43,250
+الشغل الصغير لما ربحها تصغر أكتر تبكى عبها تصغر
+
+96
+00:07:43,250 --> 00:07:47,630
+أكتر و أكتر بيقول إذا X صغيرة كتير معناته هاد يروح
+
+97
+00:07:47,630 --> 00:07:51,150
+هاتهاد يروح و تبقى كله روح صغير كتير بيصير بصير بس
+
+98
+00:07:51,150 --> 00:07:55,170
+sign ال X بتعتبر X كيف تقنعوا حالكم؟ كل واحد معاها
+
+99
+00:07:55,170 --> 00:07:58,390
+calculator ولا لأ؟ في حد معاها شاطرة تشتغل على
+
+100
+00:07:58,390 --> 00:08:05,440
+calculator؟طلعولي واحدة شاطرة تبرع؟ لأ مفعش ..
+
+101
+00:08:05,440 --> 00:08:12,080
+مفعش الـ Calculator هو تحوللي ل Radian بطلتوا؟ ل
+
+102
+00:08:12,080 --> 00:08:18,460
+Radian واحد يجيبلي Sign الـ 0.1 جديش بال Radian
+
+103
+00:08:18,460 --> 00:08:23,780
+Sign الـ 0.1 طبعا الـ 0.1 صغير بس نشوف جديش بطلع
+
+104
+00:08:23,780 --> 00:08:27,440
+الجواب بصوت
+
+105
+00:08:27,440 --> 00:08:32,540
+عاليلأ لأ لأ انت محاولتيش راجع تسعة من هدف .. تسعة
+
+106
+00:08:32,540 --> 00:08:38,680
+من هدف حلو .. حلو بس هيك؟ فيكش ورا هيكش؟ من مية ..
+
+107
+00:08:38,680 --> 00:08:41,260
+من مية .. من مية طب إيش .. إيش ورا التسعة؟ تسعة ..
+
+108
+00:08:41,260 --> 00:08:44,940
+تسعة .. برضه تسعة؟ أه وراها تمام .. تطلعوا إيش ..
+
+109
+00:08:44,940 --> 00:08:50,060
+هادي تفرق عن الـ 0.1؟ لأ لو جربتوها نفس العملية ..
+
+110
+00:08:50,060 --> 00:08:55,280
+نفس العملية طيب نزلك فاتحة حطيلي sign الـ 0.01
+
+111
+00:08:55,280 --> 00:08:56,020
+زغري أكتر
+
+112
+00:08:59,100 --> 00:09:02,160
+تسعة و تسعة من عشرة في عشرة في عشرة في عشرة في
+
+113
+00:09:02,160 --> 00:09:03,060
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+114
+00:09:03,060 --> 00:09:03,200
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+115
+00:09:03,200 --> 00:09:05,080
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+116
+00:09:05,080 --> 00:09:06,200
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+117
+00:09:06,200 --> 00:09:07,000
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+118
+00:09:07,000 --> 00:09:09,560
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+119
+00:09:09,560 --> 00:09:14,180
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+120
+00:09:14,180 --> 00:09:17,740
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+121
+00:09:17,740 --> 00:09:27,410
+عشرة في عشرة فيSin X تقريبا بتساوي X لأن المتبقى
+
+122
+00:09:27,410 --> 00:09:34,130
+كله بيروح بيصير محمل تم اذكروني الفصل الجاي لما
+
+123
+00:09:34,130 --> 00:09:38,470
+يدونكم يتحللوها بيسموها Taylor expansion لل
+
+124
+00:09:38,470 --> 00:09:42,370
+function هتاخدوها كلكل أصبع كلكل أصبع اللي بياخد
+
+125
+00:09:42,370 --> 00:09:48,730
+كلكل أصبعبيقولّي الـSin of فيتا هذه تُعطى بها كذا
+
+126
+00:09:48,730 --> 00:09:52,350
+علاقة، بالتالي اللي بيدور عليه في المعمل، إيش
+
+127
+00:09:52,350 --> 00:09:57,250
+كانوا جنونكم؟ اتكتروش فيتا، ذاكرين؟ عشان تكون
+
+128
+00:09:57,250 --> 00:10:01,110
+صغيرة فيتا، عشان الـSin of فيتا تكون بس فيتا،
+
+129
+00:10:01,110 --> 00:10:04,130
+وماركوش دعوة في الآخرية، تمام؟ إذا أنا الـSin of
+
+130
+00:10:04,130 --> 00:10:08,770
+فيتا هذه، شو بتحط محلها؟ بس فيتاتمام؟ إذا صار for
+
+131
+00:10:08,770 --> 00:10:13,350
+a small θ sin θ تقريبا بيساوي θ كل واحدة في الدار
+
+132
+00:10:13,350 --> 00:10:16,370
+بتشتغل طب أنا ليش بقولكوا بحاولوا لل radian عشان o
+
+133
+00:10:16,370 --> 00:10:20,250
+.1 يدخلوها ك radian فانتوا عليا؟ عشان كده لما
+
+134
+00:10:20,250 --> 00:10:23,290
+تروحوا على الدار ما تحطوهاش زي ما عملتي بال degree
+
+135
+00:10:23,290 --> 00:10:26,890
+حاولوا لل radian تمام؟ ساعتها اللي دخلتوا بيطلحوه
+
+136
+00:10:26,890 --> 00:10:31,430
+نفسه جربوا الواحد و جربوا ال o.1 و جربوا ال 0.001
+
+137
+00:10:31,430 --> 00:10:34,590
+هتلاقوا كل ما زغرتوا كل ما كانت النتيجة أقرب للي
+
+138
+00:10:34,590 --> 00:10:39,280
+دخلتوها تمام؟وأعيش بدول أنا .. أعيش بدول بقول ها
+
+139
+00:10:39,280 --> 00:10:42,860
+دي الـSin فيتا تغلبنيش فيها خليها فيتا بقول فيتا
+
+140
+00:10:42,860 --> 00:10:47,940
+بتقدر تقول إنه هذا جوس ولا مش جوس طيب إيه سطور
+
+141
+00:10:47,940 --> 00:10:55,340
+الجوس بساوي L في فيتا صح ولا لأ إذا انصرت فيتا
+
+142
+00:10:55,340 --> 00:11:03,980
+بتساوي L .. أسوء من S على Lصح ولا لأ؟ تمام، إذا
+
+143
+00:11:03,980 --> 00:11:09,780
+بيقوللي صارت عندك المعادلة بدل فيتا حطيت S على L،
+
+144
+00:11:09,780 --> 00:11:15,320
+اتطلعوا أيه صار معايا، هذا المقدار الـC يا S هذا
+
+145
+00:11:15,320 --> 00:11:20,660
+الـCos، الـCos إزاحة، هو رايح يزاحها، تمام،
+
+146
+00:11:20,660 --> 00:11:24,200
+اتطلعوا هذه M وG وL، في واحد منهم بتغير مع الزمن؟
+
+147
+00:11:25,360 --> 00:11:31,880
+بقدر أحط محلهم K هي زبقة إذا F بيستوي سلب K والأص
+
+148
+00:11:31,880 --> 00:11:38,000
+هي ال X إذا القوة بتقول قطعا إن الجسم بتحرك حركة
+
+149
+00:11:38,000 --> 00:11:42,640
+توفقية بسيطة بعد ما أقول أمين بتحرك حركة توفقية
+
+150
+00:11:42,640 --> 00:11:47,100
+بسيطة بقول يجديش Omega بقوله Omega هيها إيش بدل K
+
+151
+00:11:47,100 --> 00:11:51,990
+هيها الـK؟م جي على ال فاقسيم م بتروح لم بيصير جي
+
+152
+00:11:51,990 --> 00:11:56,190
+على ال عشان كده كان الزمن الدوري مالو يدعو بالم في
+
+153
+00:11:56,190 --> 00:12:01,350
+المعمل اللي دعوه بإيش بجي وبطول الخيط و بس عشان
+
+154
+00:12:01,350 --> 00:12:04,870
+كده لو تجربتكم طلعتوها على رمالة و رغشتوا عليها
+
+155
+00:12:04,870 --> 00:12:12,490
+ريحة تتغير قيمة الزمن الدوري بيزدش هي هي المعادلة
+
+156
+00:12:12,490 --> 00:12:19,840
+روحت مأنتي كنتي في معمل؟ كان المفروض أنتي وصحبيتك
+
+157
+00:12:19,840 --> 00:12:23,880
+تاخد كتلة مختلفة و تحسب هتلاجوها نفس اللي .. لأ هي
+
+158
+00:12:23,880 --> 00:12:25,820
+بالكامل مش صحيح تتقفل احكي
+
+159
+00:12:30,750 --> 00:12:34,250
+ذات في الزمن الدوري .. اه طبعا .. على اعتبار ان جي
+
+160
+00:12:34,250 --> 00:12:37,390
+ثابت و كلكم اشتغلتوا صح .. مش واحدة تكون ساعتها
+
+161
+00:12:37,390 --> 00:12:40,570
+عيانة و واحدة ساعتها مش عارف كده .. اكون اه .. كنت
+
+162
+00:12:40,570 --> 00:12:44,390
+لقطعا .. هيها .. مافيش عندي M .. اذا بقول .. we
+
+163
+00:12:44,390 --> 00:12:48,670
+have simple harmonic motion .. اول ما وصلت انه قفت
+
+164
+00:12:48,670 --> 00:12:52,190
+سوى سالب ثابت فيه زاحة .. قلت اذا عندي simple
+
+165
+00:12:52,190 --> 00:12:57,000
+harmonic motion .. طيب ..الـ K تبعت هي M G على L
+
+166
+00:12:57,000 --> 00:13:01,220
+الثابت وبالتالي بيقول الوم جاب يساوي K على M ولا K
+
+167
+00:13:01,220 --> 00:13:06,240
+G على L بتعتمد على M؟ بتعتمدش على M ولا عنزة ولا
+
+168
+00:13:06,240 --> 00:13:14,760
+وطارط تمام؟ بتعتمدش يا بنات على ال M إطلاقا Under
+
+169
+00:13:14,760 --> 00:13:19,590
+period بنقدر نجيبها تمام؟الكتب الملاحظة اللي انت
+
+170
+00:13:19,590 --> 00:13:22,130
+حكيت عنها Note that the period and frequency of a
+
+171
+00:13:22,130 --> 00:13:26,310
+simple harmonic motion depends only on L and G and
+
+172
+00:13:26,310 --> 00:13:30,750
+doesn't depend on M الـ G متثابت؟ الـ G متثابت، لأ
+
+173
+00:13:30,750 --> 00:13:34,170
+الـ G متغير و احنا ماخدناش أنه رمال الله غير
+
+174
+00:13:34,170 --> 00:13:39,350
+عناريحة؟صح ولا لأ؟ خدناها ولا ما خدناهاش اذا جي
+
+175
+00:13:39,350 --> 00:13:43,270
+تجاوزا معتبرها ثابت لكن انت بتتغير فيه عدي شغلات
+
+176
+00:13:43,270 --> 00:13:47,630
+بتتغيرها الموضع بيتغير الموضع الإنسان من مكان
+
+177
+00:13:47,630 --> 00:13:51,250
+لمكان جي تبعته ماتثابته طبعا في جداول جي في كل
+
+178
+00:13:51,250 --> 00:13:54,810
+مدينة من المدن جديد جي موجودة تختلف من مكان لمكان
+
+179
+00:13:54,810 --> 00:13:59,270
+ثابت في مكان ما طيب قاللي هذه أملنا فيها على
+
+180
+00:13:59,270 --> 00:14:02,550
+اعتبار قالت بفعل جيب ال torque خلينا نجيب ال
+
+181
+00:14:02,550 --> 00:14:07,610
+torque يا بنات أنا قسمها كمان مرة لأبنجيب ال
+
+182
+00:14:07,610 --> 00:14:11,890
+torque يا بنات بنجيب ال torque القوة ماشي كانت
+
+183
+00:14:11,890 --> 00:14:17,710
+قوتين MG وشد و ال MG حللت ولا بوكبتين يلا مين يجيب
+
+184
+00:14:17,710 --> 00:14:20,610
+ليه؟ تعالوا نعيد ال torque جيبلي ال torque تبع
+
+185
+00:14:20,610 --> 00:14:24,170
+الشد الشد
+
+186
+00:14:24,170 --> 00:14:25,890
+الشد .. الشد .. بدي ال torque تبع الشد بدي ذراعي
+
+187
+00:14:25,890 --> 00:14:29,730
+الشد فعلا
+
+188
+00:14:29,730 --> 00:14:33,790
+صوتي؟ يعني قدش torque ه؟ يعني الشد اللي بيعمل ال
+
+189
+00:14:33,790 --> 00:14:39,890
+torque طيب و MG كساني الزاوية؟مج كوصين الزاوية مج
+
+190
+00:14:39,890 --> 00:14:41,530
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+191
+00:14:41,530 --> 00:14:42,090
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+192
+00:14:42,090 --> 00:14:43,810
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+193
+00:14:43,810 --> 00:14:49,010
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+194
+00:14:49,010 --> 00:14:56,610
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+195
+00:14:56,610 --> 00:15:06,580
+كوصين الزاوية مج كولأ مجبورة منك هي الطول إذا
+
+196
+00:15:06,580 --> 00:15:13,080
+معناته ال torque يا بنات ال torque بيساوي M G SIN
+
+197
+00:15:13,080 --> 00:15:19,060
+ZL F L كمان مرة ال torque مع عقارب الساعة و θ
+
+198
+00:15:19,060 --> 00:15:23,360
+بالزي تدعي عقارب الساعة فالمنطقة حُطها دي صح ولا
+
+199
+00:15:23,360 --> 00:15:30,680
+لأ؟ تمام؟ الآن خليني بس أعمل فراغات هناالآن هذه
+
+200
+00:15:30,680 --> 00:15:39,180
+إذا كانت θ small بيضحكن عليش فتة فصارت ثالث MGL في
+
+201
+00:15:39,180 --> 00:15:39,660
+فتة
+
+202
+00:15:43,520 --> 00:15:49,820
+كيف ايش K شرطة طيب؟ NG في L إذا ال torque بيساوي
+
+203
+00:15:49,820 --> 00:15:55,680
+سالب K شرطة في الفيتا K شرطة بيساوي NG في L is a
+
+204
+00:15:55,680 --> 00:15:59,480
+simple harmonic motion طب إيش بدي أعمل Omega؟ هل
+
+205
+00:15:59,480 --> 00:16:06,150
+هي K على M ولا K شرطة على I؟K شرطة على I فهذه هيها
+
+206
+00:16:06,150 --> 00:16:12,350
+صحيح؟ هذه K شرطة إذا Omega بالساوية K شرطة على I و
+
+207
+00:16:12,350 --> 00:16:18,750
+بالساوية MGL مين يقولي جديش I؟ جسم صغير هذا لا هو
+
+208
+00:16:18,750 --> 00:16:25,390
+كرة ولا حاجة M R تربيع M R تربيع و ال R هي ال L
+
+209
+00:16:25,390 --> 00:16:32,940
+إذا M L تربيعطلع عليّ، تخجليش، خلاص الخربة روحت في
+
+210
+00:16:32,940 --> 00:16:38,840
+المعمل هي أما أما روحت كمان مرة وهي التربية روحت،
+
+211
+00:16:38,840 --> 00:16:46,300
+إيه ده؟ نفس العملية، مافي إيش إيش جديد، لأ، لأ،
+
+212
+00:16:46,300 --> 00:16:49,820
+لأ، في المعمل بيجيبوه يعني، ماجيبوش، ماجيبش في
+
+213
+00:16:49,820 --> 00:16:55,680
+المعمل، يعني إذا جابوه أشوف
+
+214
+00:16:55,680 --> 00:16:56,460
+إيش اللي عمله بس
+
+215
+00:17:00,900 --> 00:17:07,270
+بيقول ليه؟التورك اللي يعمل على الوضع هي ناقص Mg
+
+216
+00:17:07,270 --> 00:17:11,270
+صين الزاوية في L الذراع وبالتالي كمان مرة لما
+
+217
+00:17:11,270 --> 00:17:15,470
+theta is small صين theta هي نفس theta فطلعت بهذا
+
+218
+00:17:15,470 --> 00:17:21,250
+الصيغة MgL هو الثابت وهو K شرطة إذا تو بيساوي K
+
+219
+00:17:21,250 --> 00:17:26,230
+شرطة في theta with K شرطة equal MgL وبالتالي Omega
+
+220
+00:17:26,230 --> 00:17:34,270
+بيساوي G على L زي ما هو مافيش إيش Gالمثال اللي
+
+221
+00:17:34,270 --> 00:17:39,050
+علها كذا مسألة جالي لو جيبت حديدة أو مصطرة بلاش
+
+222
+00:17:39,050 --> 00:17:42,830
+حديدة كل واحد عنده مصطرة مظبوط ولا لأ مش فيه خروج
+
+223
+00:17:43,820 --> 00:17:47,060
+لو جبته الخروج و حطته بصمار معلق في الحيطة و عملته
+
+224
+00:17:47,060 --> 00:17:51,900
+في المصطلح هيك ايه تتوقع انه يحصل؟ هطلع رايحة جاية
+
+225
+00:17:51,900 --> 00:17:55,440
+اذا انا بتوقع انه لو جبت عليها ال force او ال
+
+226
+00:17:55,440 --> 00:17:59,700
+torque لازم يكون اما ال torque يساوي K شطة في θ أو
+
+227
+00:17:59,700 --> 00:18:05,230
+ال force يساوي سالب K في ال X تمام؟جالي .. هدى
+
+228
+00:18:05,230 --> 00:18:08,370
+بسموه مصرة أو حديدة .. compound pendulum ..
+
+229
+00:18:08,370 --> 00:18:11,410
+البندول .. هداك simple pendulum أو لا .. هدا ..
+
+230
+00:18:11,410 --> 00:18:14,830
+بندول بسيط .. هدا بندول مركّب أو معقد أو .. المهم
+
+231
+00:18:14,830 --> 00:18:19,070
+.. تمام؟ عشان الشوة بقولي .. any rigid body ..
+
+232
+00:18:19,070 --> 00:18:22,670
+مصرة، حديدة، خشبة، اللي بدكم إياها .. any rigid
+
+233
+00:18:22,670 --> 00:18:27,590
+body .. mounted علقة .. so that .. it can swing ..
+
+234
+00:18:27,590 --> 00:18:32,050
+تتمرجح على أي حاجة ..في طرق عضوية في بعض الاتصالات
+
+235
+00:18:32,050 --> 00:18:35,610
+التي تمر من خلالها يسمى كـ Physical Pendulum إذا
+
+236
+00:18:35,610 --> 00:18:38,330
+ما هو Physical Pendulum أو Compound Pendulum مرات
+
+237
+00:18:38,330 --> 00:18:41,970
+بيسموه Pendulum الفيزيائي أو المركب أي حاجة قطعة
+
+238
+00:18:41,970 --> 00:18:45,730
+علّقها في الحيطة و خليها رايحة جاية هذه بيسموها
+
+239
+00:18:45,730 --> 00:18:50,990
+Pendulum الفيزيائي أو المركب تمام؟ أو Compound
+
+240
+00:18:50,990 --> 00:18:55,170
+Pendulum تمام هيها؟ هذي بتحط مصرا معوشة خشبة أي
+
+241
+00:18:55,170 --> 00:18:59,700
+خشبة تمام أي واحد؟ بيقوللي هي معلجة من هناورأي
+
+242
+00:18:59,700 --> 00:19:03,920
+حاجة يعني .. طبعا في البندون البسيط جيبت ال F و
+
+243
+00:19:03,920 --> 00:19:06,980
+جيبت ال torque .. و في الحالتين ضبطت معايا .. هنا
+
+244
+00:19:06,980 --> 00:19:10,840
+لو بدي أجيب ال F هيغلبني .. ليش؟ لأن ال F هناك كان
+
+245
+00:19:10,840 --> 00:19:14,860
+في شد .. و كان NG .. هناك مش في قوة على الخشبة هذه
+
+246
+00:19:16,630 --> 00:19:20,070
+أحكوا بصوت عالي و فينا .. ايه .. ايه .. ايه .. ايه
+
+247
+00:19:20,070 --> 00:19:26,830
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+248
+00:19:26,830 --> 00:19:27,430
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+249
+00:19:27,430 --> 00:19:30,890
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+250
+00:19:30,890 --> 00:19:30,930
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+251
+00:19:30,930 --> 00:19:30,990
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+252
+00:19:30,990 --> 00:19:38,770
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايقوة
+
+253
+00:19:38,770 --> 00:19:42,370
+المصمار عليها و قوة المصمار كيف اتجاهها؟ كهك ..
+
+254
+00:19:42,370 --> 00:19:44,630
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+255
+00:19:44,630 --> 00:19:46,230
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+256
+00:19:46,230 --> 00:19:49,970
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+257
+00:19:49,970 --> 00:19:50,850
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+258
+00:19:50,850 --> 00:19:53,110
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+259
+00:19:53,110 --> 00:19:57,060
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهكطيب
+
+260
+00:19:57,060 --> 00:19:59,980
+هو .. وإن كل الطرق تؤدي إلى روم .. فبالنهاية أنا
+
+261
+00:19:59,980 --> 00:20:05,320
+بدي معاجلة تثبت إن الحركة توفقية بسيطة بيقولّي the
+
+262
+00:20:05,320 --> 00:20:09,760
+torque about point O is provided by the force of
+
+263
+00:20:09,760 --> 00:20:14,280
+gravity بس .. بس ال MG أما دي تبعات المصمم روحت ..
+
+264
+00:20:14,280 --> 00:20:18,320
+تعملش torque .. بحكي عربي؟ فاهمين يعني .. طيب
+
+265
+00:20:18,320 --> 00:20:23,300
+الحمد للهبقوله الـ torque بيسوي القوة في الذراع
+
+266
+00:20:23,300 --> 00:20:28,380
+حلو؟ هي القوة كيف بدي أجيب ذراعها؟ بدي أمد، أمد،
+
+267
+00:20:28,380 --> 00:20:30,300
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+268
+00:20:30,300 --> 00:20:31,720
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+269
+00:20:31,720 --> 00:20:34,280
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+270
+00:20:34,280 --> 00:20:37,160
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+271
+00:20:37,160 --> 00:20:39,240
+أمد، أمد، أمد، أمد،
+
+272
+00:20:45,920 --> 00:20:52,620
+بالتبادل، صحيح؟ التقابل براعص، راسي براعص، ايه؟
+
+273
+00:20:52,620 --> 00:20:56,380
+اصلا تقابل، هالتبادل، حرف الـZ، مش كانوا يعلمونا
+
+274
+00:20:56,380 --> 00:21:02,520
+هي حرف الـZ، فالـZ هي التبادلأه Z هدا هي بيقول ال
+
+275
+00:21:02,520 --> 00:21:07,060
+torque بيساوي M G D Sine الزاوية والسالي بنفس
+
+276
+00:21:07,060 --> 00:21:11,500
+العملية الزاوية بتطلع هيك و M G بنزلها لأسفل جالي
+
+277
+00:21:11,500 --> 00:21:16,760
+كمان مرة for θ is small اللي بدينا نقتنع فيها و
+
+278
+00:21:16,760 --> 00:21:18,900
+هتاخدوها تفاصيلة ان شاء الله تفاصيلتي جاي كيف
+
+279
+00:21:18,900 --> 00:21:23,570
+بتجيبوا الملاحظة أو المعادلة اللي كتبت انانستطيع
+
+280
+00:21:23,570 --> 00:21:31,390
+مجدداً تقرير صين ثتا بثتا مع تقرير الصين ثتا بثتا
+
+281
+00:21:31,630 --> 00:21:36,350
+طالع اللي في الجوس Mg وD ثواب يتعامل ثوانا إذا
+
+282
+00:21:36,350 --> 00:21:39,890
+كشرطة إذا هي حركة توفيقية بسيطة عشان كده بقول
+
+283
+00:21:39,890 --> 00:21:44,310
+المصر دلّك رايحة جاية مافيش هوا ومافيش احتكاك تجفش
+
+284
+00:21:44,310 --> 00:21:47,090
+طبعا بوقفها في الآخر في احتكاكات وفي هوا ومش عارف
+
+285
+00:21:47,090 --> 00:21:50,930
+ايش طيب قال ليه؟ this .. the motion is a harmonic
+
+286
+00:21:50,930 --> 00:21:56,130
+motion and the torque constant كشرطة هي MgD the
+
+287
+00:21:56,130 --> 00:21:59,340
+angular frequency مين هو نجيبه؟ قال لي مين هو؟عشان
+
+288
+00:21:59,340 --> 00:22:02,560
+أجيبلك، بدك تعطيني هذه ولا لا؟ بدك تعطيني هذه إذا
+
+289
+00:22:02,560 --> 00:22:06,680
+لازم أعرف ال I طبعا شكل زي هذا صعب يعرف ال I في
+
+290
+00:22:06,680 --> 00:22:10,320
+جدول مش موجود صحيح ولا لأ؟ لأنه شكل مش منتظر هذا
+
+291
+00:22:10,320 --> 00:22:15,320
+بيقول لي أم جاب يساوي K شرط على I ويساوي MGD على I
+
+292
+00:22:15,320 --> 00:22:21,440
+وزمن الدولة نرجع الآن مثال، أخر شيء بعد كده كله
+
+293
+00:22:21,440 --> 00:22:26,900
+متاحي الباقي، بنحكي عنه حكي بسهذا الشكل الأعواج
+
+294
+00:22:26,900 --> 00:22:30,240
+اللي جيبتكم إياه بصورة عامة بدي أخليه مصطر الأعز،
+
+295
+00:22:30,240 --> 00:22:34,520
+المصطر عدلة، بيقولّي a uniform road، uniform road،
+
+296
+00:22:34,520 --> 00:22:38,080
+إيش بيفرق عن هداك؟ اللي بيفرق إنه I تبعته موجودة
+
+297
+00:22:38,080 --> 00:22:42,340
+في جدوليه، في الجدول أنا شرحتلكم إياها واشتققنا I
+
+298
+00:22:42,340 --> 00:22:45,780
+لهذا المكان، اشتققناه مرتين، لما يكون محور الدوران
+
+299
+00:22:45,780 --> 00:22:49,060
+في النصر و لما يكون محور الدوران في الطريف، طب إيش
+
+300
+00:22:49,060 --> 00:22:51,180
+هاخدها الجيد؟ على الطريف ولا في النصر، محور
+
+301
+00:22:51,180 --> 00:22:56,990
+الدوران؟محور الدوران شو هو؟ المصمار .. وين المصمار
+
+302
+00:22:56,990 --> 00:22:59,770
+موجود؟ على الطرف .. إذا واحد ع تلاتة ولا واحد ع
+
+303
+00:22:59,770 --> 00:23:05,510
+اتنائش؟ واحد على .. ع تلاتة ولا اتنائش؟ واحد ع
+
+304
+00:23:05,510 --> 00:23:08,690
+اتنائش أظن .. مش مهم .. مش حكتها .. مش حاطة .. مش
+
+305
+00:23:08,690 --> 00:23:13,250
+حافظينها .. عيد .. شو مش فاهمة؟ عيد .. إيش بيفرق
+
+306
+00:23:13,250 --> 00:23:19,730
+هدى عن هدى؟ كل شي زي ما هو .. اللي بيفرق هدىI
+
+307
+00:23:19,730 --> 00:23:24,830
+تبعتي تختلف من جسم لجسم باعتمد على شكل الجسم جون
+
+308
+00:23:24,830 --> 00:23:30,930
+ال disk غير عن الرد غير عن الكرة غير عن المستطيل
+
+309
+00:23:30,930 --> 00:23:34,750
+تمام فانا اللي معلج عندي اللي هو الرد معناته I
+
+310
+00:23:34,750 --> 00:23:39,130
+تبعتي بشحتها من الجدول اللي موجود في سابعة العشرة
+
+311
+00:23:39,690 --> 00:23:43,470
+في جدولة في سبتمبر عشرة موجود كل شكل و جدش أيه
+
+312
+00:23:43,470 --> 00:23:48,590
+تبعته و قولتلكم ما تحفظوهاش نعطيكم إياها بس بنقدر
+
+313
+00:23:48,590 --> 00:23:52,250
+نجعلها موجودة عينكم و اشتقت أنا وياكم تلاتة اظنها
+
+314
+00:23:52,250 --> 00:23:56,010
+يومتها اشتقت اتنين تفصيل انا واحد تفوي تبع ال ring
+
+315
+00:23:56,010 --> 00:23:59,880
+زي اللي كنتوا ذاكلين وبالتالي انا اشتقتهاهو متفقين
+
+316
+00:23:59,880 --> 00:24:02,980
+أنه مش مطلوب منكم تفصيل اشتقاقات في هذه الشغلة
+
+317
+00:24:02,980 --> 00:24:07,820
+بالذات لأنه شوية ال math بتكسبها متقدم يعني بده
+
+318
+00:24:07,820 --> 00:24:11,900
+calculus B أكتر من calculus A تمام فبالتالي
+
+319
+00:24:11,900 --> 00:24:17,470
+بيقوللي تلت طلعتأه دي ساوي تلت ام ال square عند
+
+320
+00:24:17,470 --> 00:24:21,190
+الطرف تمام since the rod is uniform then the
+
+321
+00:24:21,190 --> 00:24:23,970
+distance D جالي ليه لما يكون uniform دي بيساوي نص
+
+322
+00:24:23,970 --> 00:24:28,730
+ال برضه جيبتكم ياها تمام جالي ليه إذا معناته Omega
+
+323
+00:24:28,730 --> 00:24:32,650
+بيساوي MGD على I توي حكيت بتعوض محلي الآن محلي ال
+
+324
+00:24:32,650 --> 00:24:37,570
+D نص ال ومحلي ال I تلت M التربية فطلعت جديش Omega
+
+325
+00:24:37,570 --> 00:24:41,870
+للمصطره تبعتي تمام هيك تمام
+
+326
+00:24:44,810 --> 00:24:47,610
+الـ Damped Oscillations هذا optional بس بقى بدي
+
+327
+00:24:47,610 --> 00:24:52,530
+أحكيلكم شوية عليه، إيش معناه الـ Damp؟ الـ D ..
+
+328
+00:24:52,530 --> 00:24:57,190
+الشيء الـ D أول .. الـ D مش المسافة ما بين الـ
+
+329
+00:24:57,190 --> 00:25:00,830
+Center of Mass و المصمار لما يكون الرد منتظم، الـ
+
+330
+00:25:00,830 --> 00:25:07,890
+D نص الإله .. فهمتيها؟ حلو، تمامالـ Damping أو الـ
+
+331
+00:25:07,890 --> 00:25:11,250
+Damp Oscillation بالمعنى اللغوي هي عبارة عن الحركة
+
+332
+00:25:11,250 --> 00:25:15,650
+المخمودة، اللي في النهاية بتوقف يعني. طيب، بتضحك
+
+333
+00:25:15,650 --> 00:25:24,310
+عنها بس، بتضحك عنها، بتضحك عنها. الآن، البندول
+
+334
+00:25:24,310 --> 00:25:29,070
+البسيط اللي عملته في المعمل، مش في الآخر وقف، عشان
+
+335
+00:25:29,070 --> 00:25:32,450
+كده بيقول عنه Damping، صلوا Damp Oscillation،
+
+336
+00:25:32,450 --> 00:25:37,240
+بيضلش إلى ما لا نهاية. طب إيش اللي وقفوا؟مقاومة
+
+337
+00:25:37,240 --> 00:25:41,660
+الهواء والاحتكاكات إذا في قوة غير الجاذبية الأرضية
+
+338
+00:25:41,660 --> 00:25:46,020
+في الرياضيات بيقولوا let us assume that the
+
+339
+00:25:46,020 --> 00:25:48,220
+frictional force is proportional to the velocity
+
+340
+00:25:48,220 --> 00:25:51,560
+نفترض ان عندي زنبراك ومحطوط على الطاولة نعمى
+
+341
+00:25:51,560 --> 00:25:56,340
+الطاولة هدو ولا فيها احتكاك؟ نعمى يعني احتكاك هسفر
+
+342
+00:25:56,340 --> 00:26:02,050
+زي ال air table في المعمل طاولةمش نعمة، تتوقفوا من
+
+343
+00:26:02,050 --> 00:26:04,690
+نعمة باللغة تبعتنا نعم وخشن، نعمة يعني هتاتش
+
+344
+00:26:04,690 --> 00:26:08,470
+friction، هتاتش friction هنا؟ يعني هل بقدر أجود من
+
+345
+00:26:08,470 --> 00:26:13,390
+مسألة smooth surface؟ لأ طبعا، هي معنات نعمة،
+
+346
+00:26:13,390 --> 00:26:18,980
+تمام؟هب انه الاحتكاك موجود و دائما يا بنات قوة
+
+347
+00:26:18,980 --> 00:26:24,220
+المقاومة احتكاك ولا مقاومة الهواء دائما بتتناسب مع
+
+348
+00:26:24,220 --> 00:26:27,860
+الصراعة لما تفتحوا السيارة و تكونوا شوبارين ايش
+
+349
+00:26:27,860 --> 00:26:30,680
+بتقول للسواج؟ افتح الشبك .. افتح الشبك .. غير نفسك
+
+350
+00:26:30,680 --> 00:26:34,200
+افتح الشبك واجف .. بنفع يدله واجف وهتح الشبك لكن
+
+351
+00:26:34,200 --> 00:26:37,960
+لو اتحرك بيجي الهواء كل ما زاد صراعته هواء بزيد
+
+352
+00:26:37,960 --> 00:26:41,780
+ولا لا؟ طبعا الهواء هو مقاومة الهواء إذا مقاومة
+
+353
+00:26:41,780 --> 00:26:45,450
+الهواء بتعتمد على الصراعةفي كل ما زادت السرعة
+
+354
+00:26:45,450 --> 00:26:49,690
+المقاومة بالـ z جاللي هب ان هذه المقاومة بتعتمد
+
+355
+00:26:49,690 --> 00:26:54,370
+على السرعة بيصير ال force تبعتك بيساوي سالب b في v
+
+356
+00:26:54,370 --> 00:26:58,690
+بي ثابت و ال v السرعة وبالتالي where v is the
+
+357
+00:26:58,690 --> 00:27:01,610
+velocity and v is a constant بيصير ال total force
+
+358
+00:27:01,610 --> 00:27:05,090
+acting on the system بتتطل بس تبعت الزمبرة او تبعت
+
+359
+00:27:05,090 --> 00:27:09,010
+الجاذبية بنضاف لها هذا ال tier وهذا ال tier هو dx
+
+360
+00:27:09,010 --> 00:27:12,940
+على dt لما أدي أعمل معاجلة هيك بيصيرالكلمة هذا
+
+361
+00:27:12,940 --> 00:27:16,680
+نضعف بيقولي هذه حالها بطل X بيسوي A Cos Omega T زي
+
+362
+00:27:16,680 --> 00:27:20,880
+الـ Delta اللي عملتليها هنا، هذه بتحلش هذي، قاللي
+
+363
+00:27:20,880 --> 00:27:24,500
+هذه كيف حلها؟ قاللي هذه حالها لو يتحليتها، و اللي
+
+364
+00:27:24,500 --> 00:27:30,300
+مش مطلوب منكم حلها، يصير هيك حلها الطب
+
+365
+00:27:30,300 --> 00:27:34,120
+ماعيش أفرجات، قاللي هادي، شوف ال amplitude يا بنات
+
+366
+00:27:34,120 --> 00:27:36,460
+ال amplitude، ال amplitude بعتمد على الزمن ولا
+
+367
+00:27:36,460 --> 00:27:40,390
+بعتمدش على الزمان؟بعتمد على الزمن، بقتل ثابت ال
+
+368
+00:27:40,390 --> 00:27:44,250
+sign و ال cosine، ال amplitude تبعه ثابت، بس ده ال
+
+369
+00:27:44,250 --> 00:27:47,730
+amplitude تبعه قاعد بنقص فلو جيت رسمتها كده
+
+370
+00:27:47,730 --> 00:27:51,550
+معادلة، شوف ال amplitude يتصار، بهتز، لكن في
+
+371
+00:27:51,550 --> 00:27:58,170
+النهاية مش مصيفين، بموت، بنخمدفصار عملية هزه مرتين
+
+372
+00:27:58,170 --> 00:28:02,870
+تلاتة وبعدين بينام هيك بنكون أنهينا هذا الفصل ان
+
+373
+00:28:02,870 --> 00:28:07,110
+شاء الله وخلصنا اتناشر شهر اكتر ان شاء الله مايكون
+
+374
+00:28:07,110 --> 00:28:12,540
+اكتر عليكمالفصل الجاى اللى بده يكمل معانا فيزيا
+
+375
+00:28:12,540 --> 00:28:15,980
+هتكون فيزيا عامة باب تتعلق بالكهروميغناطيسية
+
+376
+00:28:15,980 --> 00:28:19,340
+المجال الكهربائي والمجال الميغناطيسي بكل تفاصيله
+
+377
+00:28:19,340 --> 00:28:24,220
+ان شاء الله المادة نفسها تقريبا بنفس المستوى اللى
+
+378
+00:28:24,220 --> 00:28:27,940
+بيفهم فيزيا قريب بتكون فيزيا باب معقولة له فان شاء
+
+379
+00:28:27,940 --> 00:28:31,400
+الله بنشوفكم كلكم الفصل الجاى وعلاماتكم زى ما بدكم
+
+380
+00:28:31,400 --> 00:28:34,240
+إياها اللى بده ستين يجيب ستين واللى بده تسعين يجيب
+
+381
+00:28:34,240 --> 00:28:38,240
+تسعين كل واحد حسب ما بتمنى وكل عامة بخير
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ead67bede7b5310fa05d3bc67775af99954f68b7
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/CbX8TEPHl1Y_raw.srt
@@ -0,0 +1,1536 @@
+1
+00:00:20,670 --> 00:00:27,230
+نسمي باسم الله و نرجع موضوعنا الأخير هو تكملة
+
+2
+00:00:27,230 --> 00:00:30,570
+الاسبتر الماضي ال angular simple harmonic motion
+
+3
+00:00:30,570 --> 00:00:36,370
+فقط بدي أعمل نقل معادلة لمعادلة أخرى بالحركات
+
+4
+00:00:36,370 --> 00:00:40,630
+دورانية فمتفقين أن ال force بيصير tau ال x بيصير
+
+5
+00:00:40,630 --> 00:00:45,740
+theta و هكذابصي في عندي الشرط التالك او هو الشرط
+
+6
+00:00:45,740 --> 00:00:50,500
+التامي بس معدل الشرط التالك عشان انا اثبت ان
+
+7
+00:00:50,500 --> 00:00:53,280
+الحركة التوفيقية بسيطة اذا ماقدرتش اجيب ال force
+
+8
+00:00:53,280 --> 00:00:57,250
+بقول اجيب ال torqueإذا كان الـ torque بهذا الشكل
+
+9
+00:00:57,250 --> 00:01:01,730
+إذا بقول الحركة توافقية بسيطة كيف تجيب omega لها
+
+10
+00:01:01,730 --> 00:01:05,050
+كذا حركة بقوله omega بالساوية هذا اللي جيبته ثابت
+
+11
+00:01:05,050 --> 00:01:08,770
+على I و I هذه هي moment of inertia و احنا متفقين
+
+12
+00:01:08,770 --> 00:01:11,510
+زي اتنين جدول اللي قلتلكم ماتحفظهوش ال moment of
+
+13
+00:01:11,510 --> 00:01:14,370
+inertia لكل الأيسام إما بنعطيكم إياها أو بنشحتكم
+
+14
+00:01:14,370 --> 00:01:19,440
+إياها من مكان تاني تمامجالي خلّيني أتأكد إن هذه
+
+15
+00:01:19,440 --> 00:01:22,800
+الكلام صحيح ولا لا، بدي أجيب معادلة زي هذه، والله
+
+16
+00:01:22,800 --> 00:01:26,240
+إذا هذه معادلة تشبهها من ال torque، بقول أه، الحل
+
+17
+00:01:26,240 --> 00:01:29,860
+واحد، بقول إحنا نعرف ال torque بسوء I في Alpha،
+
+18
+00:01:29,860 --> 00:01:33,800
+ذاكرين؟ هذا قانون النيتر التاني، بعدين F بسوء MA،
+
+19
+00:01:33,800 --> 00:01:37,140
+حلو، ال Alpha مش هو التفاضل التاني ل θ بالنسبة
+
+20
+00:01:37,140 --> 00:01:43,320
+للزمن، أمين، جالي الآن؟I دي تربيع الـθيتا على دي
+
+21
+00:01:43,320 --> 00:01:43,880
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+22
+00:01:43,880 --> 00:01:44,620
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+23
+00:01:44,620 --> 00:01:46,560
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+24
+00:01:46,560 --> 00:01:47,820
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+25
+00:01:47,820 --> 00:01:56,220
+تربيع تربيع تربيع تربيع تربيع تربيع
+
+26
+00:01:56,220 --> 00:01:57,260
+تربيع تربيع تربيع تربيع تربيع تربيع تربيع تربيع
+
+27
+00:01:57,260 --> 00:02:07,340
+تربيع تربيع تربيع تربيع تربيع تربيع
+
+28
+00:02:07,340 --> 00:02:12,890
+تثيتا بتسوي a معينة cosine أمجتي زائد دلتا صح ولا
+
+29
+00:02:12,890 --> 00:02:16,710
+لأ؟ إذا من المنطقي إن يكون أيضا هكذا معاجلة
+
+30
+00:02:16,710 --> 00:02:21,130
+بتعطيني ثيتا بتتغير sign أو cosine و ال sign أو ال
+
+31
+00:02:21,130 --> 00:02:24,970
+cosine صفتها إنها بتكرر حالها ولا لأ؟ وهي ال
+
+32
+00:02:24,970 --> 00:02:29,390
+simple harmonic motion تكرار لنفس الحركة إلى مالة
+
+33
+00:02:29,390 --> 00:02:35,430
+نهاية وبالتالي العملية سهلةWhich is the rotational
+
+34
+00:02:35,430 --> 00:02:38,230
+analogue هذه المعادلة اللي بحطت بديل Omega تربية
+
+35
+00:02:38,230 --> 00:02:42,370
+هي نفسها تبعت هذه وبالتالي الحل واحد وبيكون الكلام
+
+36
+00:02:42,370 --> 00:02:46,550
+Omega بيستوي K شرط على I زي ما احنا فاهمين تمام
+
+37
+00:02:46,550 --> 00:02:51,010
+نيجي ل .. طبعا عرفنا Omega من دي بالزمن الدوري هذا
+
+38
+00:02:51,010 --> 00:02:59,850
+كلام بسيط جداالبندولي البسيط يتحرك
+
+39
+00:02:59,850 --> 00:03:02,130
+حركة توفقية بسيطة ولا لأ؟
+
+40
+00:03:05,120 --> 00:03:09,160
+كيف بدي أثبت؟ بدي أقول الـF جدّش عليه أو الـTorque
+
+41
+00:03:09,160 --> 00:03:14,080
+جدّش عليه إذا الـF طلعت هيك أو الـTorque طلعت هيك
+
+42
+00:03:14,080 --> 00:03:19,040
+بنقول أنا صحيح ولا لأ؟ ثم بقولش هو البندول البسيط؟
+
+43
+00:03:19,040 --> 00:03:23,200
+بقوله البندول البسيط هو عبارة عن consist of a
+
+44
+00:03:23,200 --> 00:03:28,000
+point mass كتلة صغيرة الحبرة هذه suspended by a
+
+45
+00:03:28,000 --> 00:03:31,620
+light string خيط صحيح ولا لأ؟ و الخيط الوزن اللي
+
+46
+00:03:31,620 --> 00:03:34,560
+شفته في المعمل؟ لأ، مافيش ميزان بيجيبه إلا الميزان
+
+47
+00:03:34,560 --> 00:03:37,460
+اللي ..اللي بيجيب .. الجسد اللي بيكتبه المباراة
+
+48
+00:03:37,460 --> 00:03:41,540
+تقول .. يا ده ما يجيبه .. المهم .. و ال length ال
+
+49
+00:03:41,540 --> 00:03:45,560
+.. تمام .. قال لي خليني أشوف هذا بتحرك حركة توفقية
+
+50
+00:03:45,560 --> 00:03:48,700
+بسيطة و لا لا و زي بتحرك جيبلي Omega .. طبعا ال
+
+51
+00:03:48,700 --> 00:03:51,440
+Omega بتجيبها من هنا كمان .. طبعا هذه ال K مش تبع
+
+52
+00:03:51,440 --> 00:03:54,420
+الزنبارك .. دي بالكم .. فيش زنبارك هالجهة .. K أيه
+
+53
+00:03:54,420 --> 00:04:00,660
+ثابت .. خليني أشوف هذا الجسم إيش عليه forcesماذا
+
+54
+00:04:00,660 --> 00:04:06,380
+عليه forces؟ Mg وعليه شد صحيح ولا لأ؟ الـ Mg اللي
+
+55
+00:04:06,380 --> 00:04:11,900
+بنعرفها Mg لأسفل والشد مع الحبوب مافيش أشي جديد؟
+
+56
+00:04:11,900 --> 00:04:18,340
+مافيش أشي جديد قال لي هاي Mg وهيكي هذا Mg حلته ل
+
+57
+00:04:18,340 --> 00:04:22,360
+Mg Cos الزاوية و Mg Sin الزاوية تطلعوا على نفسكما
+
+58
+00:04:22,360 --> 00:04:27,930
+إيش هي القوة المسؤولة عن إرجاع الجسم؟MG-SIN
+
+59
+00:04:27,930 --> 00:04:31,990
+الزاوية صح ولا لا؟ إذا معناته هذي MG-SIN الزاوية
+
+60
+00:04:31,990 --> 00:04:36,630
+أم الممسية صحيح؟ إذا بقوله الـ tangential
+
+61
+00:04:36,630 --> 00:04:40,770
+component المركبة الممسية اللي قلتولي عنها MG-SIN
+
+62
+00:04:40,770 --> 00:04:46,310
+الزاوية is the restoring force هي قوة الإرجاع هي
+
+63
+00:04:46,310 --> 00:04:49,910
+القوة المسؤولة عن إرجاع الجسم because it is always
+
+64
+00:04:49,910 --> 00:04:55,410
+acts opposite to the displacement كيف فتة بزيد في
+
+65
+00:04:55,410 --> 00:04:59,820
+كيطة؟الفيتا كيب الزيت شايفين الفيتا انتوا؟ كيب
+
+66
+00:04:59,820 --> 00:05:07,000
+الزيت طيب القوة ما حاولة ضدها يعني القوة عكس
+
+67
+00:05:07,000 --> 00:05:12,240
+الزيادة إذا القوة سالبة زي لما يكون عندي أنا جسم
+
+68
+00:05:12,240 --> 00:05:19,260
+ماشي هيك كيب الزيت اكسبعته؟ ماشي هيك ماشي جنوب
+
+69
+00:05:19,260 --> 00:05:24,050
+خلاني أقول بلاش هيككيف بالزي دي اكس؟ جنوب طب
+
+70
+00:05:24,050 --> 00:05:27,670
+الاحتكاك كيف؟ عكس .. اذا بيكون الاحتكاك سالب عشان
+
+71
+00:05:27,670 --> 00:05:30,870
+انه عكس اتجاه زيادة الإزاحة و هنا الإزاحة عندى
+
+72
+00:05:30,870 --> 00:05:34,870
+ثيتا بما انه ثيتا بالزي دي هيك و Mg صيني الزاوية
+
+73
+00:05:34,870 --> 00:05:39,110
+اللى بتحكي عنها عكسك إذا المفروض يكون سالب إذا
+
+74
+00:05:39,110 --> 00:05:43,230
+نجلّي ال force بسوى سالب Mg صيني الزاوية هذه القوة
+
+75
+00:05:43,230 --> 00:05:50,370
+المماسية حلوةاللي هو بيقولي F لازم تساوي سالب K في
+
+76
+00:05:50,370 --> 00:05:55,970
+ال X لحد الآن ماوصفتش أنا اللي بديه جالي طيب for
+
+77
+00:05:55,970 --> 00:06:02,410
+small feta في معادلة هتاخدوها بال calculus بقى
+
+78
+00:06:02,410 --> 00:06:07,370
+بيقولوا sign ال feta أو خليني أذكركم شغلة في الشطر
+
+79
+00:06:07,370 --> 00:06:14,210
+الأول بال calculus goal to limit sign ال X على X
+
+80
+00:06:14,210 --> 00:06:23,310
+لما X أقول زوردهشمين اثبت ليها؟ كيف؟ بدنا نثبتها
+
+81
+00:06:23,310 --> 00:06:27,670
+أنا وياكم بدنا جدول نقسم مع الزاوية نقسم مع
+
+82
+00:06:27,670 --> 00:06:32,510
+الزاوية اه صح بنكسب على اجتماع برضه
+
+83
+00:06:32,510 --> 00:06:39,380
+كيف؟ نفرد لأ طبعا هادية منها بتنفكبتنفك .. كيف
+
+84
+00:06:39,380 --> 00:06:45,780
+بتنفك؟ هذه الـ sin x فاكها x ناقص x تكعيب ع 3
+
+85
+00:06:45,780 --> 00:06:50,980
+factorial plus x أُس 5 .. أتسانى شوية .. هذي
+
+86
+00:06:50,980 --> 00:06:56,620
+ماختهوش؟ مجروب التلاتة ماختهوش؟ تلاتة في اتنين في
+
+87
+00:06:56,620 --> 00:07:00,140
+واحد وخمسة في اربعة في تلاتة في اتنين في واحد ..
+
+88
+00:07:00,140 --> 00:07:04,540
+هذي هتطلع علياهدحك هلأ شوية بس عشان انتوا ماخدتاش
+
+89
+00:07:04,540 --> 00:07:09,320
+كقلص بقى فبدنا نمشيكم ده ده ده تمام جسمولي على X
+
+90
+00:07:09,320 --> 00:07:15,700
+مش مفهوم تقسيم X؟ إيش أول term هنا؟ الباقي ال
+
+91
+00:07:15,700 --> 00:07:20,640
+termات فيهم X صح؟ لما X تقول لل zero إيش بيطلعنكم؟
+
+92
+00:07:20,640 --> 00:07:28,660
+بس الواحد صحيح؟ هجد كم بدنا؟ نقنع حالنا هكذالما X
+
+93
+00:07:28,660 --> 00:07:32,280
+تكون صغيرة، صغيرة كتير، الـ X سربيع بتصغر ولا
+
+94
+00:07:32,280 --> 00:07:38,990
+بتكبر؟ يعني X 0.1، ما جاتيش X سربيعأو point 01 إذا
+
+95
+00:07:38,990 --> 00:07:43,250
+الشغل الصغير لما ربحها تصغر أكتر تبكى عبها تصغر
+
+96
+00:07:43,250 --> 00:07:47,630
+أكتر و أكتر بيقول إذا X صغيرة كتير معناته هاد يروح
+
+97
+00:07:47,630 --> 00:07:51,150
+هاتهاد يروح و تبقى كله روح صغير كتير بيصير بصير بس
+
+98
+00:07:51,150 --> 00:07:55,170
+sign ال X بتعتبر X كيف تقنعوا حالكم؟ كل واحد معاها
+
+99
+00:07:55,170 --> 00:07:58,390
+calculator ولا لأ؟ في حد معاها شاطرة تشتغل على
+
+100
+00:07:58,390 --> 00:08:05,440
+calculator؟طلعولي واحدة شاطرة تبرع؟ لأ مفعش ..
+
+101
+00:08:05,440 --> 00:08:12,080
+مفعش الـ Calculator هو تحوللي ل Radian بطلتوا؟ ل
+
+102
+00:08:12,080 --> 00:08:18,460
+Radian واحد يجيبلي Sign الـ 0.1 جديش بال Radian
+
+103
+00:08:18,460 --> 00:08:23,780
+Sign الـ 0.1 طبعا الـ 0.1 صغير بس نشوف جديش بطلع
+
+104
+00:08:23,780 --> 00:08:27,440
+الجواب بصوت
+
+105
+00:08:27,440 --> 00:08:32,540
+عاليلأ لأ لأ انت محاولتيش راجع تسعة من هدف .. تسعة
+
+106
+00:08:32,540 --> 00:08:38,680
+من هدف حلو .. حلو بس هيك؟ فيكش ورا هيكش؟ من مية ..
+
+107
+00:08:38,680 --> 00:08:41,260
+من مية .. من مية طب إيش .. إيش ورا التسعة؟ تسعة ..
+
+108
+00:08:41,260 --> 00:08:44,940
+تسعة .. برضه تسعة؟ أه وراها تمام .. تطلعوا إيش ..
+
+109
+00:08:44,940 --> 00:08:50,060
+هادي تفرق عن الـ 0.1؟ لأ لو جربتوها نفس العملية ..
+
+110
+00:08:50,060 --> 00:08:55,280
+نفس العملية طيب نزلك فاتحة حطيلي sign الـ 0.01
+
+111
+00:08:55,280 --> 00:08:56,020
+زغري أكتر
+
+112
+00:08:59,100 --> 00:09:02,160
+تسعة و تسعة من عشرة في عشرة في عشرة في عشرة في
+
+113
+00:09:02,160 --> 00:09:03,060
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+114
+00:09:03,060 --> 00:09:03,200
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+115
+00:09:03,200 --> 00:09:05,080
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+116
+00:09:05,080 --> 00:09:06,200
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+117
+00:09:06,200 --> 00:09:07,000
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+118
+00:09:07,000 --> 00:09:09,560
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+119
+00:09:09,560 --> 00:09:14,180
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+120
+00:09:14,180 --> 00:09:17,740
+عشرة في عشرة في عشرة في عشرة في عشرة في عشرة في
+
+121
+00:09:17,740 --> 00:09:27,410
+عشرة في عشرة فيSin X تقريبا بتساوي X لأن المتبقى
+
+122
+00:09:27,410 --> 00:09:34,130
+كله بيروح بيصير محمل تم اذكروني الفصل الجاي لما
+
+123
+00:09:34,130 --> 00:09:38,470
+يدونكم يتحللوها بيسموها Taylor expansion لل
+
+124
+00:09:38,470 --> 00:09:42,370
+function هتاخدوها كلكل أصبع كلكل أصبع اللي بياخد
+
+125
+00:09:42,370 --> 00:09:48,730
+كلكل أصبعبيقولّي الـSin of فيتا هذه تُعطى بها كذا
+
+126
+00:09:48,730 --> 00:09:52,350
+علاقة، بالتالي اللي بيدور عليه في المعمل، إيش
+
+127
+00:09:52,350 --> 00:09:57,250
+كانوا جنونكم؟ اتكتروش فيتا، ذاكرين؟ عشان تكون
+
+128
+00:09:57,250 --> 00:10:01,110
+صغيرة فيتا، عشان الـSin of فيتا تكون بس فيتا،
+
+129
+00:10:01,110 --> 00:10:04,130
+وماركوش دعوة في الآخرية، تمام؟ إذا أنا الـSin of
+
+130
+00:10:04,130 --> 00:10:08,770
+فيتا هذه، شو بتحط محلها؟ بس فيتاتمام؟ إذا صار for
+
+131
+00:10:08,770 --> 00:10:13,350
+a small θ sin θ تقريبا بيساوي θ كل واحدة في الدار
+
+132
+00:10:13,350 --> 00:10:16,370
+بتشتغل طب أنا ليش بقولكوا بحاولوا لل radian عشان o
+
+133
+00:10:16,370 --> 00:10:20,250
+.1 يدخلوها ك radian فانتوا عليا؟ عشان كده لما
+
+134
+00:10:20,250 --> 00:10:23,290
+تروحوا على الدار ما تحطوهاش زي ما عملتي بال degree
+
+135
+00:10:23,290 --> 00:10:26,890
+حاولوا لل radian تمام؟ ساعتها اللي دخلتوا بيطلحوه
+
+136
+00:10:26,890 --> 00:10:31,430
+نفسه جربوا الواحد و جربوا ال o.1 و جربوا ال 0.001
+
+137
+00:10:31,430 --> 00:10:34,590
+هتلاقوا كل ما زغرتوا كل ما كانت النتيجة أقرب للي
+
+138
+00:10:34,590 --> 00:10:39,280
+دخلتوها تمام؟وأعيش بدول أنا .. أعيش بدول بقول ها
+
+139
+00:10:39,280 --> 00:10:42,860
+دي الـSin فيتا تغلبنيش فيها خليها فيتا بقول فيتا
+
+140
+00:10:42,860 --> 00:10:47,940
+بتقدر تقول إنه هذا جوس ولا مش جوس طيب إيه سطور
+
+141
+00:10:47,940 --> 00:10:55,340
+الجوس بساوي L في فيتا صح ولا لأ إذا انصرت فيتا
+
+142
+00:10:55,340 --> 00:11:03,980
+بتساوي L .. أسوء من S على Lصح ولا لأ؟ تمام، إذا
+
+143
+00:11:03,980 --> 00:11:09,780
+بيقوللي صارت عندك المعادلة بدل فيتا حطيت S على L،
+
+144
+00:11:09,780 --> 00:11:15,320
+اتطلعوا أيه صار معايا، هذا المقدار الـC يا S هذا
+
+145
+00:11:15,320 --> 00:11:20,660
+الـCos، الـCos إزاحة، هو رايح يزاحها، تمام،
+
+146
+00:11:20,660 --> 00:11:24,200
+اتطلعوا هذه M وG وL، في واحد منهم بتغير مع الزمن؟
+
+147
+00:11:25,360 --> 00:11:31,880
+بقدر أحط محلهم K هي زبقة إذا F بيستوي سلب K والأص
+
+148
+00:11:31,880 --> 00:11:38,000
+هي ال X إذا القوة بتقول قطعا إن الجسم بتحرك حركة
+
+149
+00:11:38,000 --> 00:11:42,640
+توفقية بسيطة بعد ما أقول أمين بتحرك حركة توفقية
+
+150
+00:11:42,640 --> 00:11:47,100
+بسيطة بقول يجديش Omega بقوله Omega هيها إيش بدل K
+
+151
+00:11:47,100 --> 00:11:51,990
+هيها الـK؟م جي على ال فاقسيم م بتروح لم بيصير جي
+
+152
+00:11:51,990 --> 00:11:56,190
+على ال عشان كده كان الزمن الدوري مالو يدعو بالم في
+
+153
+00:11:56,190 --> 00:12:01,350
+المعمل اللي دعوه بإيش بجي وبطول الخيط و بس عشان
+
+154
+00:12:01,350 --> 00:12:04,870
+كده لو تجربتكم طلعتوها على رمالة و رغشتوا عليها
+
+155
+00:12:04,870 --> 00:12:12,490
+ريحة تتغير قيمة الزمن الدوري بيزدش هي هي المعادلة
+
+156
+00:12:12,490 --> 00:12:19,840
+روحت مأنتي كنتي في معمل؟ كان المفروض أنتي وصحبيتك
+
+157
+00:12:19,840 --> 00:12:23,880
+تاخد كتلة مختلفة و تحسب هتلاجوها نفس اللي .. لأ هي
+
+158
+00:12:23,880 --> 00:12:25,820
+بالكامل مش صحيح تتقفل احكي
+
+159
+00:12:30,750 --> 00:12:34,250
+ذات في الزمن الدوري .. اه طبعا .. على اعتبار ان جي
+
+160
+00:12:34,250 --> 00:12:37,390
+ثابت و كلكم اشتغلتوا صح .. مش واحدة تكون ساعتها
+
+161
+00:12:37,390 --> 00:12:40,570
+عيانة و واحدة ساعتها مش عارف كده .. اكون اه .. كنت
+
+162
+00:12:40,570 --> 00:12:44,390
+لقطعا .. هيها .. مافيش عندي M .. اذا بقول .. we
+
+163
+00:12:44,390 --> 00:12:48,670
+have simple harmonic motion .. اول ما وصلت انه قفت
+
+164
+00:12:48,670 --> 00:12:52,190
+سوى سالب ثابت فيه زاحة .. قلت اذا عندي simple
+
+165
+00:12:52,190 --> 00:12:57,000
+harmonic motion .. طيب ..الـ K تبعت هي M G على L
+
+166
+00:12:57,000 --> 00:13:01,220
+الثابت وبالتالي بيقول الوم جاب يساوي K على M ولا K
+
+167
+00:13:01,220 --> 00:13:06,240
+G على L بتعتمد على M؟ بتعتمدش على M ولا عنزة ولا
+
+168
+00:13:06,240 --> 00:13:14,760
+وطارط تمام؟ بتعتمدش يا بنات على ال M إطلاقا Under
+
+169
+00:13:14,760 --> 00:13:19,590
+period بنقدر نجيبها تمام؟الكتب الملاحظة اللي انت
+
+170
+00:13:19,590 --> 00:13:22,130
+حكيت عنها Note that the period and frequency of a
+
+171
+00:13:22,130 --> 00:13:26,310
+simple harmonic motion depends only on L and G and
+
+172
+00:13:26,310 --> 00:13:30,750
+doesn't depend on M الـ G متثابت؟ الـ G متثابت، لأ
+
+173
+00:13:30,750 --> 00:13:34,170
+الـ G متغير و احنا ماخدناش أنه رمال الله غير
+
+174
+00:13:34,170 --> 00:13:39,350
+عناريحة؟صح ولا لأ؟ خدناها ولا ما خدناهاش اذا جي
+
+175
+00:13:39,350 --> 00:13:43,270
+تجاوزا معتبرها ثابت لكن انت بتتغير فيه عدي شغلات
+
+176
+00:13:43,270 --> 00:13:47,630
+بتتغيرها الموضع بيتغير الموضع الإنسان من مكان
+
+177
+00:13:47,630 --> 00:13:51,250
+لمكان جي تبعته ماتثابته طبعا في جداول جي في كل
+
+178
+00:13:51,250 --> 00:13:54,810
+مدينة من المدن جديد جي موجودة تختلف من مكان لمكان
+
+179
+00:13:54,810 --> 00:13:59,270
+ثابت في مكان ما طيب قاللي هذه أملنا فيها على
+
+180
+00:13:59,270 --> 00:14:02,550
+اعتبار قالت بفعل جيب ال torque خلينا نجيب ال
+
+181
+00:14:02,550 --> 00:14:07,610
+torque يا بنات أنا قسمها كمان مرة لأبنجيب ال
+
+182
+00:14:07,610 --> 00:14:11,890
+torque يا بنات بنجيب ال torque القوة ماشي كانت
+
+183
+00:14:11,890 --> 00:14:17,710
+قوتين MG وشد و ال MG حللت ولا بوكبتين يلا مين يجيب
+
+184
+00:14:17,710 --> 00:14:20,610
+ليه؟ تعالوا نعيد ال torque جيبلي ال torque تبع
+
+185
+00:14:20,610 --> 00:14:24,170
+الشد الشد
+
+186
+00:14:24,170 --> 00:14:25,890
+الشد .. الشد .. بدي ال torque تبع الشد بدي ذراعي
+
+187
+00:14:25,890 --> 00:14:29,730
+الشد فعلا
+
+188
+00:14:29,730 --> 00:14:33,790
+صوتي؟ يعني قدش torque ه؟ يعني الشد اللي بيعمل ال
+
+189
+00:14:33,790 --> 00:14:39,890
+torque طيب و MG كساني الزاوية؟مج كوصين الزاوية مج
+
+190
+00:14:39,890 --> 00:14:41,530
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+191
+00:14:41,530 --> 00:14:41,530
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+192
+00:14:41,530 --> 00:14:42,090
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+193
+00:14:42,090 --> 00:14:43,810
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+194
+00:14:43,810 --> 00:14:49,010
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+195
+00:14:49,010 --> 00:14:56,610
+كوصين الزاوية مج كوصين الزاوية مج كوصين الزاوية مج
+
+196
+00:14:56,610 --> 00:15:06,580
+كوصين الزاوية مج كولأ مجبورة منك هي الطول إذا
+
+197
+00:15:06,580 --> 00:15:13,080
+معناته ال torque يا بنات ال torque بيساوي M G SIN
+
+198
+00:15:13,080 --> 00:15:19,060
+ZL F L كمان مرة ال torque مع عقارب الساعة و θ
+
+199
+00:15:19,060 --> 00:15:23,360
+بالزي تدعي عقارب الساعة فالمنطقة حُطها دي صح ولا
+
+200
+00:15:23,360 --> 00:15:30,680
+لأ؟ تمام؟ الآن خليني بس أعمل فراغات هناالآن هذه
+
+201
+00:15:30,680 --> 00:15:39,180
+إذا كانت θ small بيضحكن عليش فتة فصارت ثالث MGL في
+
+202
+00:15:39,180 --> 00:15:39,660
+فتة
+
+203
+00:15:43,520 --> 00:15:49,820
+كيف ايش K شرطة طيب؟ NG في L إذا ال torque بيساوي
+
+204
+00:15:49,820 --> 00:15:55,680
+سالب K شرطة في الفيتا K شرطة بيساوي NG في L is a
+
+205
+00:15:55,680 --> 00:15:59,480
+simple harmonic motion طب إيش بدي أعمل Omega؟ هل
+
+206
+00:15:59,480 --> 00:16:06,150
+هي K على M ولا K شرطة على I؟K شرطة على I فهذه هيها
+
+207
+00:16:06,150 --> 00:16:12,350
+صحيح؟ هذه K شرطة إذا Omega بالساوية K شرطة على I و
+
+208
+00:16:12,350 --> 00:16:18,750
+بالساوية MGL مين يقولي جديش I؟ جسم صغير هذا لا هو
+
+209
+00:16:18,750 --> 00:16:25,390
+كرة ولا حاجة M R تربيع M R تربيع و ال R هي ال L
+
+210
+00:16:25,390 --> 00:16:32,940
+إذا M L تربيعطلع عليّ، تخجليش، خلاص الخربة روحت في
+
+211
+00:16:32,940 --> 00:16:38,840
+المعمل هي أما أما روحت كمان مرة وهي التربية روحت،
+
+212
+00:16:38,840 --> 00:16:46,300
+إيه ده؟ نفس العملية، مافي إيش إيش جديد، لأ، لأ،
+
+213
+00:16:46,300 --> 00:16:49,820
+لأ، في المعمل بيجيبوه يعني، ماجيبوش، ماجيبش في
+
+214
+00:16:49,820 --> 00:16:55,680
+المعمل، يعني إذا جابوه أشوف
+
+215
+00:16:55,680 --> 00:16:56,460
+إيش اللي عمله بس
+
+216
+00:17:00,900 --> 00:17:07,270
+بيقول ليه؟التورك اللي يعمل على الوضع هي ناقص Mg
+
+217
+00:17:07,270 --> 00:17:11,270
+صين الزاوية في L الذراع وبالتالي كمان مرة لما
+
+218
+00:17:11,270 --> 00:17:15,470
+theta is small صين theta هي نفس theta فطلعت بهذا
+
+219
+00:17:15,470 --> 00:17:21,250
+الصيغة MgL هو الثابت وهو K شرطة إذا تو بيساوي K
+
+220
+00:17:21,250 --> 00:17:26,230
+شرطة في theta with K شرطة equal MgL وبالتالي Omega
+
+221
+00:17:26,230 --> 00:17:34,270
+بيساوي G على L زي ما هو مافيش إيش Gالمثال اللي
+
+222
+00:17:34,270 --> 00:17:39,050
+علها كذا مسألة جالي لو جيبت حديدة أو مصطرة بلاش
+
+223
+00:17:39,050 --> 00:17:42,830
+حديدة كل واحد عنده مصطرة مظبوط ولا لأ مش فيه خروج
+
+224
+00:17:43,820 --> 00:17:47,060
+لو جبته الخروج و حطته بصمار معلق في الحيطة و عملته
+
+225
+00:17:47,060 --> 00:17:51,900
+في المصطلح هيك ايه تتوقع انه يحصل؟ هطلع رايحة جاية
+
+226
+00:17:51,900 --> 00:17:55,440
+اذا انا بتوقع انه لو جبت عليها ال force او ال
+
+227
+00:17:55,440 --> 00:17:59,700
+torque لازم يكون اما ال torque يساوي K شطة في θ أو
+
+228
+00:17:59,700 --> 00:18:05,230
+ال force يساوي سالب K في ال X تمام؟جالي .. هدى
+
+229
+00:18:05,230 --> 00:18:08,370
+بسموه مصرة أو حديدة .. compound pendulum ..
+
+230
+00:18:08,370 --> 00:18:11,410
+البندول .. هداك simple pendulum أو لا .. هدا ..
+
+231
+00:18:11,410 --> 00:18:14,830
+بندول بسيط .. هدا بندول مركّب أو معقد أو .. المهم
+
+232
+00:18:14,830 --> 00:18:19,070
+.. تمام؟ عشان الشوة بقولي .. any rigid body ..
+
+233
+00:18:19,070 --> 00:18:22,670
+مصرة، حديدة، خشبة، اللي بدكم إياها .. any rigid
+
+234
+00:18:22,670 --> 00:18:27,590
+body .. mounted علقة .. so that .. it can swing ..
+
+235
+00:18:27,590 --> 00:18:32,050
+تتمرجح على أي حاجة ..في طرق عضوية في بعض الاتصالات
+
+236
+00:18:32,050 --> 00:18:35,610
+التي تمر من خلالها يسمى كـ Physical Pendulum إذا
+
+237
+00:18:35,610 --> 00:18:38,330
+ما هو Physical Pendulum أو Compound Pendulum مرات
+
+238
+00:18:38,330 --> 00:18:41,970
+بيسموه Pendulum الفيزيائي أو المركب أي حاجة قطعة
+
+239
+00:18:41,970 --> 00:18:45,730
+علّقها في الحيطة و خليها رايحة جاية هذه بيسموها
+
+240
+00:18:45,730 --> 00:18:50,990
+Pendulum الفيزيائي أو المركب تمام؟ أو Compound
+
+241
+00:18:50,990 --> 00:18:55,170
+Pendulum تمام هيها؟ هذي بتحط مصرا معوشة خشبة أي
+
+242
+00:18:55,170 --> 00:18:59,700
+خشبة تمام أي واحد؟ بيقوللي هي معلجة من هناورأي
+
+243
+00:18:59,700 --> 00:19:03,920
+حاجة يعني .. طبعا في البندون البسيط جيبت ال F و
+
+244
+00:19:03,920 --> 00:19:06,980
+جيبت ال torque .. و في الحالتين ضبطت معايا .. هنا
+
+245
+00:19:06,980 --> 00:19:10,840
+لو بدي أجيب ال F هيغلبني .. ليش؟ لأن ال F هناك كان
+
+246
+00:19:10,840 --> 00:19:14,860
+في شد .. و كان NG .. هناك مش في قوة على الخشبة هذه
+
+247
+00:19:16,630 --> 00:19:20,070
+أحكوا بصوت عالي و فينا .. ايه .. ايه .. ايه .. ايه
+
+248
+00:19:20,070 --> 00:19:26,830
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+249
+00:19:26,830 --> 00:19:27,430
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+250
+00:19:27,430 --> 00:19:30,890
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+251
+00:19:30,890 --> 00:19:30,930
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+252
+00:19:30,930 --> 00:19:30,930
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+253
+00:19:30,930 --> 00:19:30,990
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايه
+
+254
+00:19:30,990 --> 00:19:38,770
+.. ايه .. ايه .. ايه .. ايه .. ايه .. ايه .. ايقوة
+
+255
+00:19:38,770 --> 00:19:42,370
+المصمار عليها و قوة المصمار كيف اتجاهها؟ كهك ..
+
+256
+00:19:42,370 --> 00:19:44,630
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+257
+00:19:44,630 --> 00:19:46,230
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+258
+00:19:46,230 --> 00:19:49,970
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+259
+00:19:49,970 --> 00:19:50,850
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+260
+00:19:50,850 --> 00:19:53,110
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+261
+00:19:53,110 --> 00:19:53,110
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهك ..
+
+262
+00:19:53,110 --> 00:19:57,060
+كهك .. كهك .. كهك .. كهك .. كهك .. كهك .. كهكطيب
+
+263
+00:19:57,060 --> 00:19:59,980
+هو .. وإن كل الطرق تؤدي إلى روم .. فبالنهاية أنا
+
+264
+00:19:59,980 --> 00:20:05,320
+بدي معاجلة تثبت إن الحركة توفقية بسيطة بيقولّي the
+
+265
+00:20:05,320 --> 00:20:09,760
+torque about point O is provided by the force of
+
+266
+00:20:09,760 --> 00:20:14,280
+gravity بس .. بس ال MG أما دي تبعات المصمم روحت ..
+
+267
+00:20:14,280 --> 00:20:18,320
+تعملش torque .. بحكي عربي؟ فاهمين يعني .. طيب
+
+268
+00:20:18,320 --> 00:20:23,300
+الحمد للهبقوله الـ torque بيسوي القوة في الذراع
+
+269
+00:20:23,300 --> 00:20:28,380
+حلو؟ هي القوة كيف بدي أجيب ذراعها؟ بدي أمد، أمد،
+
+270
+00:20:28,380 --> 00:20:30,300
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+271
+00:20:30,300 --> 00:20:31,720
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+272
+00:20:31,720 --> 00:20:34,280
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+273
+00:20:34,280 --> 00:20:37,160
+أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد، أمد،
+
+274
+00:20:37,160 --> 00:20:39,240
+أمد، أمد، أمد، أمد،
+
+275
+00:20:45,920 --> 00:20:52,620
+بالتبادل، صحيح؟ التقابل براعص، راسي براعص، ايه؟
+
+276
+00:20:52,620 --> 00:20:56,380
+اصلا تقابل، هالتبادل، حرف الـZ، مش كانوا يعلمونا
+
+277
+00:20:56,380 --> 00:21:02,520
+هي حرف الـZ، فالـZ هي التبادلأه Z هدا هي بيقول ال
+
+278
+00:21:02,520 --> 00:21:07,060
+torque بيساوي M G D Sine الزاوية والسالي بنفس
+
+279
+00:21:07,060 --> 00:21:11,500
+العملية الزاوية بتطلع هيك و M G بنزلها لأسفل جالي
+
+280
+00:21:11,500 --> 00:21:16,760
+كمان مرة for θ is small اللي بدينا نقتنع فيها و
+
+281
+00:21:16,760 --> 00:21:18,900
+هتاخدوها تفاصيلة ان شاء الله تفاصيلتي جاي كيف
+
+282
+00:21:18,900 --> 00:21:23,570
+بتجيبوا الملاحظة أو المعادلة اللي كتبت انانستطيع
+
+283
+00:21:23,570 --> 00:21:31,390
+مجدداً تقرير صين ثتا بثتا مع تقرير الصين ثتا بثتا
+
+284
+00:21:31,630 --> 00:21:36,350
+طالع اللي في الجوس Mg وD ثواب يتعامل ثوانا إذا
+
+285
+00:21:36,350 --> 00:21:39,890
+كشرطة إذا هي حركة توفيقية بسيطة عشان كده بقول
+
+286
+00:21:39,890 --> 00:21:44,310
+المصر دلّك رايحة جاية مافيش هوا ومافيش احتكاك تجفش
+
+287
+00:21:44,310 --> 00:21:47,090
+طبعا بوقفها في الآخر في احتكاكات وفي هوا ومش عارف
+
+288
+00:21:47,090 --> 00:21:50,930
+ايش طيب قال ليه؟ this .. the motion is a harmonic
+
+289
+00:21:50,930 --> 00:21:56,130
+motion and the torque constant كشرطة هي MgD the
+
+290
+00:21:56,130 --> 00:21:59,340
+angular frequency مين هو نجيبه؟ قال لي مين هو؟عشان
+
+291
+00:21:59,340 --> 00:22:02,560
+أجيبلك، بدك تعطيني هذه ولا لا؟ بدك تعطيني هذه إذا
+
+292
+00:22:02,560 --> 00:22:06,680
+لازم أعرف ال I طبعا شكل زي هذا صعب يعرف ال I في
+
+293
+00:22:06,680 --> 00:22:10,320
+جدول مش موجود صحيح ولا لأ؟ لأنه شكل مش منتظر هذا
+
+294
+00:22:10,320 --> 00:22:15,320
+بيقول لي أم جاب يساوي K شرط على I ويساوي MGD على I
+
+295
+00:22:15,320 --> 00:22:21,440
+وزمن الدولة نرجع الآن مثال، أخر شيء بعد كده كله
+
+296
+00:22:21,440 --> 00:22:26,900
+متاحي الباقي، بنحكي عنه حكي بسهذا الشكل الأعواج
+
+297
+00:22:26,900 --> 00:22:30,240
+اللي جيبتكم إياه بصورة عامة بدي أخليه مصطر الأعز،
+
+298
+00:22:30,240 --> 00:22:34,520
+المصطر عدلة، بيقولّي a uniform road، uniform road،
+
+299
+00:22:34,520 --> 00:22:38,080
+إيش بيفرق عن هداك؟ اللي بيفرق إنه I تبعته موجودة
+
+300
+00:22:38,080 --> 00:22:42,340
+في جدوليه، في الجدول أنا شرحتلكم إياها واشتققنا I
+
+301
+00:22:42,340 --> 00:22:45,780
+لهذا المكان، اشتققناه مرتين، لما يكون محور الدوران
+
+302
+00:22:45,780 --> 00:22:49,060
+في النصر و لما يكون محور الدوران في الطريف، طب إيش
+
+303
+00:22:49,060 --> 00:22:51,180
+هاخدها الجيد؟ على الطريف ولا في النصر، محور
+
+304
+00:22:51,180 --> 00:22:56,990
+الدوران؟محور الدوران شو هو؟ المصمار .. وين المصمار
+
+305
+00:22:56,990 --> 00:22:59,770
+موجود؟ على الطرف .. إذا واحد ع تلاتة ولا واحد ع
+
+306
+00:22:59,770 --> 00:23:05,510
+اتنائش؟ واحد على .. ع تلاتة ولا اتنائش؟ واحد ع
+
+307
+00:23:05,510 --> 00:23:08,690
+اتنائش أظن .. مش مهم .. مش حكتها .. مش حاطة .. مش
+
+308
+00:23:08,690 --> 00:23:13,250
+حافظينها .. عيد .. شو مش فاهمة؟ عيد .. إيش بيفرق
+
+309
+00:23:13,250 --> 00:23:19,730
+هدى عن هدى؟ كل شي زي ما هو .. اللي بيفرق هدىI
+
+310
+00:23:19,730 --> 00:23:24,830
+تبعتي تختلف من جسم لجسم باعتمد على شكل الجسم جون
+
+311
+00:23:24,830 --> 00:23:30,930
+ال disk غير عن الرد غير عن الكرة غير عن المستطيل
+
+312
+00:23:30,930 --> 00:23:34,750
+تمام فانا اللي معلج عندي اللي هو الرد معناته I
+
+313
+00:23:34,750 --> 00:23:39,130
+تبعتي بشحتها من الجدول اللي موجود في سابعة العشرة
+
+314
+00:23:39,690 --> 00:23:43,470
+في جدولة في سبتمبر عشرة موجود كل شكل و جدش أيه
+
+315
+00:23:43,470 --> 00:23:48,590
+تبعته و قولتلكم ما تحفظوهاش نعطيكم إياها بس بنقدر
+
+316
+00:23:48,590 --> 00:23:52,250
+نجعلها موجودة عينكم و اشتقت أنا وياكم تلاتة اظنها
+
+317
+00:23:52,250 --> 00:23:56,010
+يومتها اشتقت اتنين تفصيل انا واحد تفوي تبع ال ring
+
+318
+00:23:56,010 --> 00:23:59,880
+زي اللي كنتوا ذاكلين وبالتالي انا اشتقتهاهو متفقين
+
+319
+00:23:59,880 --> 00:24:02,980
+أنه مش مطلوب منكم تفصيل اشتقاقات في هذه الشغلة
+
+320
+00:24:02,980 --> 00:24:07,820
+بالذات لأنه شوية ال math بتكسبها متقدم يعني بده
+
+321
+00:24:07,820 --> 00:24:11,900
+calculus B أكتر من calculus A تمام فبالتالي
+
+322
+00:24:11,900 --> 00:24:17,470
+بيقوللي تلت طلعتأه دي ساوي تلت ام ال square عند
+
+323
+00:24:17,470 --> 00:24:21,190
+الطرف تمام since the rod is uniform then the
+
+324
+00:24:21,190 --> 00:24:23,970
+distance D جالي ليه لما يكون uniform دي بيساوي نص
+
+325
+00:24:23,970 --> 00:24:28,730
+ال برضه جيبتكم ياها تمام جالي ليه إذا معناته Omega
+
+326
+00:24:28,730 --> 00:24:32,650
+بيساوي MGD على I توي حكيت بتعوض محلي الآن محلي ال
+
+327
+00:24:32,650 --> 00:24:37,570
+D نص ال ومحلي ال I تلت M التربية فطلعت جديش Omega
+
+328
+00:24:37,570 --> 00:24:41,870
+للمصطره تبعتي تمام هيك تمام
+
+329
+00:24:44,810 --> 00:24:47,610
+الـ Damped Oscillations هذا optional بس بقى بدي
+
+330
+00:24:47,610 --> 00:24:52,530
+أحكيلكم شوية عليه، إيش معناه الـ Damp؟ الـ D ..
+
+331
+00:24:52,530 --> 00:24:57,190
+الشيء الـ D أول .. الـ D مش المسافة ما بين الـ
+
+332
+00:24:57,190 --> 00:25:00,830
+Center of Mass و المصمار لما يكون الرد منتظم، الـ
+
+333
+00:25:00,830 --> 00:25:07,890
+D نص الإله .. فهمتيها؟ حلو، تمامالـ Damping أو الـ
+
+334
+00:25:07,890 --> 00:25:11,250
+Damp Oscillation بالمعنى اللغوي هي عبارة عن الحركة
+
+335
+00:25:11,250 --> 00:25:15,650
+المخمودة، اللي في النهاية بتوقف يعني. طيب، بتضحك
+
+336
+00:25:15,650 --> 00:25:24,310
+عنها بس، بتضحك عنها، بتضحك عنها. الآن، البندول
+
+337
+00:25:24,310 --> 00:25:29,070
+البسيط اللي عملته في المعمل، مش في الآخر وقف، عشان
+
+338
+00:25:29,070 --> 00:25:32,450
+كده بيقول عنه Damping، صلوا Damp Oscillation،
+
+339
+00:25:32,450 --> 00:25:37,240
+بيضلش إلى ما لا نهاية. طب إيش اللي وقفوا؟مقاومة
+
+340
+00:25:37,240 --> 00:25:41,660
+الهواء والاحتكاكات إذا في قوة غير الجاذبية الأرضية
+
+341
+00:25:41,660 --> 00:25:46,020
+في الرياضيات بيقولوا let us assume that the
+
+342
+00:25:46,020 --> 00:25:48,220
+frictional force is proportional to the velocity
+
+343
+00:25:48,220 --> 00:25:51,560
+نفترض ان عندي زنبراك ومحطوط على الطاولة نعمى
+
+344
+00:25:51,560 --> 00:25:56,340
+الطاولة هدو ولا فيها احتكاك؟ نعمى يعني احتكاك هسفر
+
+345
+00:25:56,340 --> 00:26:02,050
+زي ال air table في المعمل طاولةمش نعمة، تتوقفوا من
+
+346
+00:26:02,050 --> 00:26:04,690
+نعمة باللغة تبعتنا نعم وخشن، نعمة يعني هتاتش
+
+347
+00:26:04,690 --> 00:26:08,470
+friction، هتاتش friction هنا؟ يعني هل بقدر أجود من
+
+348
+00:26:08,470 --> 00:26:13,390
+مسألة smooth surface؟ لأ طبعا، هي معنات نعمة،
+
+349
+00:26:13,390 --> 00:26:18,980
+تمام؟هب انه الاحتكاك موجود و دائما يا بنات قوة
+
+350
+00:26:18,980 --> 00:26:24,220
+المقاومة احتكاك ولا مقاومة الهواء دائما بتتناسب مع
+
+351
+00:26:24,220 --> 00:26:27,860
+الصراعة لما تفتحوا السيارة و تكونوا شوبارين ايش
+
+352
+00:26:27,860 --> 00:26:30,680
+بتقول للسواج؟ افتح الشبك .. افتح الشبك .. غير نفسك
+
+353
+00:26:30,680 --> 00:26:34,200
+افتح الشبك واجف .. بنفع يدله واجف وهتح الشبك لكن
+
+354
+00:26:34,200 --> 00:26:37,960
+لو اتحرك بيجي الهواء كل ما زاد صراعته هواء بزيد
+
+355
+00:26:37,960 --> 00:26:41,780
+ولا لا؟ طبعا الهواء هو مقاومة الهواء إذا مقاومة
+
+356
+00:26:41,780 --> 00:26:45,450
+الهواء بتعتمد على الصراعةفي كل ما زادت السرعة
+
+357
+00:26:45,450 --> 00:26:49,690
+المقاومة بالـ z جاللي هب ان هذه المقاومة بتعتمد
+
+358
+00:26:49,690 --> 00:26:54,370
+على السرعة بيصير ال force تبعتك بيساوي سالب b في v
+
+359
+00:26:54,370 --> 00:26:58,690
+بي ثابت و ال v السرعة وبالتالي where v is the
+
+360
+00:26:58,690 --> 00:27:01,610
+velocity and v is a constant بيصير ال total force
+
+361
+00:27:01,610 --> 00:27:05,090
+acting on the system بتتطل بس تبعت الزمبرة او تبعت
+
+362
+00:27:05,090 --> 00:27:09,010
+الجاذبية بنضاف لها هذا ال tier وهذا ال tier هو dx
+
+363
+00:27:09,010 --> 00:27:12,940
+على dt لما أدي أعمل معاجلة هيك بيصيرالكلمة هذا
+
+364
+00:27:12,940 --> 00:27:16,680
+نضعف بيقولي هذه حالها بطل X بيسوي A Cos Omega T زي
+
+365
+00:27:16,680 --> 00:27:20,880
+الـ Delta اللي عملتليها هنا، هذه بتحلش هذي، قاللي
+
+366
+00:27:20,880 --> 00:27:24,500
+هذه كيف حلها؟ قاللي هذه حالها لو يتحليتها، و اللي
+
+367
+00:27:24,500 --> 00:27:30,300
+مش مطلوب منكم حلها، يصير هيك حلها الطب
+
+368
+00:27:30,300 --> 00:27:34,120
+ماعيش أفرجات، قاللي هادي، شوف ال amplitude يا بنات
+
+369
+00:27:34,120 --> 00:27:36,460
+ال amplitude، ال amplitude بعتمد على الزمن ولا
+
+370
+00:27:36,460 --> 00:27:40,390
+بعتمدش على الزمان؟بعتمد على الزمن، بقتل ثابت ال
+
+371
+00:27:40,390 --> 00:27:44,250
+sign و ال cosine، ال amplitude تبعه ثابت، بس ده ال
+
+372
+00:27:44,250 --> 00:27:47,730
+amplitude تبعه قاعد بنقص فلو جيت رسمتها كده
+
+373
+00:27:47,730 --> 00:27:51,550
+معادلة، شوف ال amplitude يتصار، بهتز، لكن في
+
+374
+00:27:51,550 --> 00:27:58,170
+النهاية مش مصيفين، بموت، بنخمدفصار عملية هزه مرتين
+
+375
+00:27:58,170 --> 00:28:02,870
+تلاتة وبعدين بينام هيك بنكون أنهينا هذا الفصل ان
+
+376
+00:28:02,870 --> 00:28:07,110
+شاء الله وخلصنا اتناشر شهر اكتر ان شاء الله مايكون
+
+377
+00:28:07,110 --> 00:28:12,540
+اكتر عليكمالفصل الجاى اللى بده يكمل معانا فيزيا
+
+378
+00:28:12,540 --> 00:28:15,980
+هتكون فيزيا عامة باب تتعلق بالكهروميغناطيسية
+
+379
+00:28:15,980 --> 00:28:19,340
+المجال الكهربائي والمجال الميغناطيسي بكل تفاصيله
+
+380
+00:28:19,340 --> 00:28:24,220
+ان شاء الله المادة نفسها تقريبا بنفس المستوى اللى
+
+381
+00:28:24,220 --> 00:28:27,940
+بيفهم فيزيا قريب بتكون فيزيا باب معقولة له فان شاء
+
+382
+00:28:27,940 --> 00:28:31,400
+الله بنشوفكم كلكم الفصل الجاى وعلاماتكم زى ما بدكم
+
+383
+00:28:31,400 --> 00:28:34,240
+إياها اللى بده ستين يجيب ستين واللى بده تسعين يجيب
+
+384
+00:28:34,240 --> 00:28:38,240
+تسعين كل واحد حسب ما بتمنى وكل عامة بخير
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/EN6JlDjk_kI_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/EN6JlDjk_kI_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b34b85049df8c317d78ce4222d973011808e7b2c
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/EN6JlDjk_kI_postprocess.srt
@@ -0,0 +1,2440 @@
+1
+00:00:22,560 --> 00:00:30,320
+نستكمل بالمثال 3 مثالين
+
+2
+00:00:30,320 --> 00:00:35,000
+السابقين اعطاني X as a function of T او V as a
+
+3
+00:00:35,000 --> 00:00:38,560
+function of T وطلب مني مطالب وقال لي اشتغل عليها
+
+4
+00:00:38,560 --> 00:00:43,600
+وكانت العملية تطبيق مباشر الان في المثال التالت
+
+5
+00:00:43,600 --> 00:00:46,920
+بيقولي the position time graph جاني graph دلوقتي
+
+6
+00:00:46,920 --> 00:00:50,660
+ما يديني معادلةof a particle moving along the x
+
+7
+00:00:50,660 --> 00:00:54,320
+-axis is given in the figure find the average
+
+8
+00:00:54,320 --> 00:00:57,740
+velocity for the interior value واحنا متفقين إذا
+
+9
+00:00:57,740 --> 00:01:02,040
+بده سرعة متوسط لازم يديني الفترة من إلى T initial
+
+10
+00:01:02,040 --> 00:01:07,640
+وT final and the average acceleration برضه بده
+
+11
+00:01:07,640 --> 00:01:12,260
+فترة بعدين إذا بده instantaneous بده زمان معين
+
+12
+00:01:12,260 --> 00:01:16,860
+فبقوللي الرسمة تبعتي أنا هي هكتالة خليني أنا
+
+13
+00:01:16,860 --> 00:01:22,200
+أرسمهاهذه الرسمة نريد أولا أن نفهم الرسمة لكي
+
+14
+00:01:22,200 --> 00:01:25,340
+نستطيع التعامل معها يقول في عنق هذه X as a
+
+15
+00:01:25,340 --> 00:01:31,400
+function of T بدأ من نقطة معينة، من نقطة الـorigin
+
+16
+00:01:31,400 --> 00:01:37,680
+عن تبت سوى صفر، ثم ماشي، لماذا ماشي؟ لأن X عملها
+
+17
+00:01:37,680 --> 00:01:43,240
+بالزي، يعني كأنه يبعد، لأن الجسم بدأ من هنالما
+
+18
+00:01:43,240 --> 00:01:47,860
+يكون ملزج بالحيطة X بعته كم؟ Zero بدأ يمشي، معناته
+
+19
+00:01:47,860 --> 00:01:50,400
+X عمّالها بتزيد مع الزمن، الزمن بيجفش، كلنا
+
+20
+00:01:50,400 --> 00:01:54,480
+بنعرفه، طول ما الزمن بيغير، بشوف أنا X إيش بيصير
+
+21
+00:01:54,480 --> 00:01:59,240
+فيها، طول ما X بتتغير، معناته الجسم بتتحرك، صحيح
+
+22
+00:01:59,240 --> 00:02:04,620
+ولا لأ؟ فأنا هين، خلال ثانية واحدة، كان عن سفر
+
+23
+00:02:04,620 --> 00:02:10,680
+وصلنا ست متر، هذه ست متر، تمام؟ بعد كده، رجعنا
+
+24
+00:02:12,440 --> 00:02:18,480
+عندما أدرس الفيجار، أقول إنه طلع من النقطة ومشيله
+
+25
+00:02:18,480 --> 00:02:22,620
+ستة متر، ثم فكر إنه نفس الشيء، ثم رجع تلاتة متر
+
+26
+00:02:22,620 --> 00:02:26,220
+لورا، فاهمت عليه كيف؟ وهي و هي كان ماشي، جاعت
+
+27
+00:02:26,220 --> 00:02:31,540
+ببعد، هي جاعت بجرب، بجرب لنفس النقطة، إذن ماشي ستة
+
+28
+00:02:31,540 --> 00:02:38,060
+متر، ثم رجع تلاتة متر، ثم تعب، جاعت ثانية واحدة و
+
+29
+00:02:38,060 --> 00:02:43,390
+جاعت بريح،فهمتوا عليها؟ إذا ها بيقول X is constant
+
+30
+00:02:43,390 --> 00:02:51,190
+يعني ساكن الجسم بعد كده كمل رجوعه كمل رجوعه مش وصل
+
+31
+00:02:51,190 --> 00:02:55,510
+لحيطها اللي كاد بدأ منها تمام؟ راح لوراه تمام؟
+
+32
+00:02:55,510 --> 00:03:03,510
+فوصل لعندها هيك هذا بيفسر حركة الجسم بدأ من السكون
+
+33
+00:03:03,510 --> 00:03:10,200
+وصل لست متر بعدينرجع لـ 3 متر، أريح شويه، بعدين
+
+34
+00:03:10,200 --> 00:03:15,980
+رجع لما أصل سالب 3 متر بالاتجاه المعاكس، إيش بده؟
+
+35
+00:03:15,980 --> 00:03:19,140
+بيقول find the average velocity for the interval
+
+36
+00:03:19,140 --> 00:03:22,340
+from T equal to 2 second to T equal to 5 second،
+
+37
+00:03:22,340 --> 00:03:27,870
+القانون ما اتغيرشالقانون بتقول V average بتساوي X
+
+38
+00:03:27,870 --> 00:03:33,270
+final نقص X initial على T final نقص T initial صحيح
+
+39
+00:03:33,270 --> 00:03:38,010
+ولا لأ هجد T final و T initial مقطع T final 5 و T
+
+40
+00:03:38,010 --> 00:03:43,460
+initial 2 اذا المقام 5-2 ثلاث ثانية معروفاللي
+
+41
+00:03:43,460 --> 00:03:48,060
+بدّيها هذا في المثال السابق الأول كان عندي معادلة
+
+42
+00:03:48,060 --> 00:03:52,620
+جيبت منها X final و X initial ان عوضت محل T final
+
+43
+00:03:52,620 --> 00:03:56,900
+وT initial لأن مافيش معادلة قال لي بتفهمي الرسمة
+
+44
+00:03:56,900 --> 00:04:01,320
+هجيجي بقول عندي T بالساوي خمسة second اللي هو
+
+45
+00:04:01,320 --> 00:04:06,840
+final بتقدروا تقولولي وين كان الجسم؟وين؟ مكملتش
+
+46
+00:04:06,840 --> 00:04:12,720
+لسه؟ هو لسه مكمل؟ آه خلاص، هذا هو، في الآخر غير
+
+47
+00:04:12,720 --> 00:04:17,160
+رأي و رجع لدقر و رجع ساكن، تمام، رجع الحيطة، تمام،
+
+48
+00:04:17,160 --> 00:04:21,280
+فبقيت .. بقيت بتطلع، عند خمسة سكنت، وين الجسم كان
+
+49
+00:04:21,280 --> 00:04:26,730
+ك X؟ بقرأ هنا، مش هيك بعمل؟جدّيش X final؟ Zero
+
+50
+00:04:26,730 --> 00:04:30,890
+صعبة؟ لأ، حتى لو مافيش معادلة من الرسم، Zero إذا
+
+51
+00:04:30,890 --> 00:04:35,230
+بقول على طول إن X final equal to zero طب X initial
+
+52
+00:04:35,230 --> 00:04:41,550
+عندي بيسوي two second جدّيش؟ ثلاث ثلاث خلاصأذا
+
+53
+00:04:41,550 --> 00:04:46,550
+نعمل ناتو بنقول as it is clear from the graph
+
+54
+00:04:46,550 --> 00:04:49,610
+بنقول من الرسم اللي أنا بجيب X initial equal to
+
+55
+00:04:49,610 --> 00:04:53,430
+three meters and X final equal to zero Now بقول
+
+56
+00:04:53,430 --> 00:04:56,090
+عوّد في القانون صار في عندي
+
+57
+00:05:01,450 --> 00:05:04,670
+the average x final minus x initial على t final
+
+58
+00:05:04,670 --> 00:05:10,310
+نقص t initial 0-3 5-2 فطلعت minus one meter per
+
+59
+00:05:10,310 --> 00:05:15,110
+second في النهاية ال minus بدل على انه مامشيش من
+
+60
+00:05:15,110 --> 00:05:18,430
+اتجاه الزيادة مش من اتجاه النقصات زي ما اتفقنا ال
+
+61
+00:05:18,430 --> 00:05:21,070
+velocity is a vector quantity و شرط السلب تعني
+
+62
+00:05:21,070 --> 00:05:26,110
+اتجاه المعاكس فطلعت minus one meter per secondهذا
+
+63
+00:05:26,110 --> 00:05:29,370
+المطلوب الأول، طب المطلوب التاني قال المطلوب
+
+64
+00:05:29,370 --> 00:05:33,910
+التاني علمونا أن الـ A average يساوي V final نقص V
+
+65
+00:05:33,910 --> 00:05:41,210
+initial على T final نقص T initial، مظبوط؟ هل الرسم
+
+66
+00:05:41,210 --> 00:05:47,600
+هادي بين V و T؟إذا بين X و T لو بين V و T زي ما
+
+67
+00:05:47,600 --> 00:05:52,360
+أعملت و بقول عند T كذا بعمل سهل و بطلق قيمة V لكن
+
+68
+00:05:52,360 --> 00:05:56,620
+المشكلة هنا بين X و T هلم الدنياها إذا أنا بدي
+
+69
+00:05:56,620 --> 00:06:02,960
+أستخدم كمان معلومة إن V هي إيجاد ميل المماس صح ولا
+
+70
+00:06:02,960 --> 00:06:07,300
+لا؟ إذا بدي عند نقطة ماجيبش بالظبط جديش V على طول
+
+71
+00:06:07,300 --> 00:06:13,450
+اللي بجيب المماس و أجيب الميل بطلع V يعنيأنتي
+
+72
+00:06:13,450 --> 00:06:19,610
+بتساوي نص و أنتي بتساوي نص جالي هيها بجيبك طلع
+
+73
+00:06:19,610 --> 00:06:24,310
+النص هنا بمشي هان و نفترج هان بيقول عندي النقطة
+
+74
+00:06:24,310 --> 00:06:29,690
+هذه بيجيبلي المماس و تجيب ميله هذه الصراحة بيجيب
+
+75
+00:06:29,690 --> 00:06:33,850
+ميلي المماس عند هذه النقطة طبعا لما يكون في كيرف
+
+76
+00:06:33,850 --> 00:06:38,070
+يا بنات بيقول بيجيب مماس صحيح؟ لكن الخط المستقيم
+
+77
+00:06:38,070 --> 00:06:44,820
+مماس أقدر نجيبههو نفسه .. هو نفسه .. مظبط ولا لا؟
+
+78
+00:06:44,820 --> 00:06:51,400
+تمام .. هالجيش .. هل هذا الخط مماس للنقطة؟ صحيح
+
+79
+00:06:51,400 --> 00:06:56,460
+ولا لا؟ هو المماس طيب في حد بعرف يجيب ال mail؟ هل
+
+80
+00:06:56,460 --> 00:07:01,260
+ال mail بالساوية 6 على 1 ولا لا؟ 6 على 1
+
+81
+00:07:07,340 --> 00:07:09,600
+مش هي هي .. كنتوا تجيبوا المماس .. انتوا لما
+
+82
+00:07:09,600 --> 00:07:12,920
+تقولوا هاي خط .. تقولوا هاي المماس .. ممكن تكون هي
+
+83
+00:07:12,920 --> 00:07:17,100
+.. هي هي .. ما هي هذه الزاوية و هذه الزاوية واحدة
+
+84
+00:07:17,100 --> 00:07:22,020
+.. بالتنادر .. صحيح؟ فإما بنقول تلاتة على نص أو
+
+85
+00:07:22,020 --> 00:07:25,640
+ستة على واحدة .. لأن هي مقابلة عمجاوية .. مظبوط؟
+
+86
+00:07:25,640 --> 00:07:31,140
+هي ضل زاوية .. مدوجة .. فيه كتير ناس مبلعة .. اللي
+
+87
+00:07:31,140 --> 00:07:36,640
+بالعي يسأل .. سوف أحكي عبارة عن هذا؟نفس اللغة ما
+
+88
+00:07:36,640 --> 00:07:41,780
+تغيرتش هل جيت بتعرفوا أن الصراعة هي إيجاه .. هي
+
+89
+00:07:41,780 --> 00:07:45,600
+تفاضل ال X بالنسبالتي؟ هذي معروفة؟ معروفة إيش
+
+90
+00:07:45,600 --> 00:07:48,860
+معنات مستقى؟ يعني إيجاد ميل المماس إذا المعناته
+
+91
+00:07:48,860 --> 00:07:52,260
+لازم أجيب .. إيجاد ميل المماس، طيب حافظينها يعني
+
+92
+00:07:52,260 --> 00:07:55,760
+عشان نجيب ميل المماس، بندي المماس أول فأجيبكي
+
+93
+00:07:55,760 --> 00:07:59,560
+المماس و بعدين بندي اجيبي ميله فوين النقرة؟ هو
+
+94
+00:07:59,560 --> 00:08:03,760
+مماس مش بنقول عند نقطة معينة بمس؟أول ما بده يجيب
+
+95
+00:08:03,760 --> 00:08:08,080
+النقطة هو جالي نص طلعت ع الكيرك وقلت هاي النقطة
+
+96
+00:08:08,080 --> 00:08:14,000
+بدي مماسها وقلت نفس الخط تمام؟ الخط المستقيم أول
+
+97
+00:08:14,000 --> 00:08:17,880
+ما تقطعيه هو نفس المماس بدي أجيب ميلو .. ميلو سهل
+
+98
+00:08:17,880 --> 00:08:23,800
+يعني بدك ظل الزاوية هادي ولا لا؟ مش هيكمل المماس؟
+
+99
+00:08:23,800 --> 00:08:29,500
+ten of the angle إيش هذه الظلها؟ مقابل ومجاوض ..
+
+100
+00:08:29,500 --> 00:08:37,820
+هذا ستة وهذا واحدوخلصنا هذي V-initial since V at
+
+101
+00:08:37,820 --> 00:08:42,320
+any point هبقول غير ده شغل بقول انت علمتني ان V is
+
+102
+00:08:42,320 --> 00:08:46,920
+the slope of the X-T graph هو الميل تمام at that
+
+103
+00:08:46,920 --> 00:08:53,410
+point we have at T equal 0.5 V equal 6 ع واحدستة
+
+104
+00:08:53,410 --> 00:08:58,230
+على واحد فطلعت ستة and ال two بيقولوا نص .. نص ..
+
+105
+00:08:58,230 --> 00:09:01,290
+نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص
+
+106
+00:09:01,290 --> 00:09:01,910
+.. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص ..
+
+107
+00:09:01,910 --> 00:09:02,890
+نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص
+
+108
+00:09:02,890 --> 00:09:07,250
+.. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص ..
+
+109
+00:09:07,250 --> 00:09:09,210
+نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص
+
+110
+00:09:09,210 --> 00:09:13,900
+.. نص .. نص .. نص .. نص .. نص .. نص .. نإيش كان
+
+111
+00:09:13,900 --> 00:09:20,500
+يسوي؟ جاعت و اللي جاعت كده صرعته؟ Zero منطق أصلا
+
+112
+00:09:20,500 --> 00:09:25,780
+احنا فصلنا إن هنا X is constant X is constant و V
+
+113
+00:09:25,780 --> 00:09:30,740
+is the derivative of X يعني مشتقة X و مشتقة الثابت
+
+114
+00:09:30,740 --> 00:09:38,260
+كده إيش؟ Zeroفكله إذا معناته عند 2.5 عند هذهك
+
+115
+00:09:38,260 --> 00:09:44,920
+اللحظة كان الجسم ساكن سرعته Zero وبالتالي V بتساوي
+
+116
+00:09:44,920 --> 00:09:51,820
+Zero خلاص ما في السؤالVfinal 0 Vinitial 6 و Tfinal
+
+117
+00:09:51,820 --> 00:09:55,680
+و Tinitial أصلا معروفين 2.5.5 فبيقول في هذه الحالة
+
+118
+00:09:55,680 --> 00:10:00,160
+هذا هو الخط اللي احنا بيعملوه بالشكلها فصارت 0-6
+
+119
+00:10:00,160 --> 00:10:04,400
+على 2.5-5 فطلعت minus 3 meters per second squared
+
+120
+00:10:04,400 --> 00:10:11,160
+اللي هي وحدة ال acceleration ليه؟ عندها سؤال إيش؟
+
+121
+00:10:11,160 --> 00:10:11,480
+أعيد
+
+122
+00:10:19,940 --> 00:10:25,500
+عشان يجيب السرعة ماهي ايش .. ايوة .. حلو .. احكي
+
+123
+00:10:25,500 --> 00:10:29,040
+.. احكي اللي دي دوة ماهي على نفس القانون ان هو
+
+124
+00:10:29,040 --> 00:10:33,500
+قانون يعني اقولك يعني انه عن تيما افترض واحد و نص
+
+125
+00:10:33,500 --> 00:10:35,880
+.. قولي هاي هتلاعب .. طب خلاص .. طب هاي ايش فيها
+
+126
+00:10:35,880 --> 00:10:43,640
+.. X مش X .. انت ايش بديك؟إذا بتديك X؟ لأ عشان ..
+
+127
+00:10:43,640 --> 00:10:47,580
+بديت .. بقولك هذه الرسمة ماهياش V مع T لو الرسمة V
+
+128
+00:10:47,580 --> 00:10:52,000
+مع T كلامك صحيح لكن هنا أعطاك X فروحت السبب من شغل
+
+129
+00:10:52,000 --> 00:10:57,540
+تانية أن X و T من المماس هو اللي بتدي السرعة تمام؟
+
+130
+00:10:57,540 --> 00:11:04,860
+غيرها؟ تخجلوش؟ أنا متأكد أكتر من واحدة برضه بقى ..
+
+131
+00:11:04,860 --> 00:11:09,720
+بقول أيش بيسوي هذا؟ ماقولتوش هيك؟
+
+132
+00:11:12,480 --> 00:11:17,220
+فهذا مثال بس غيّرنا بدل ما هي ال equation أسهل ال
+
+133
+00:11:17,220 --> 00:11:20,440
+equation هي ال calculator تطلها و تجيب الرسمة هنا
+
+134
+00:11:20,440 --> 00:11:24,100
+لأ بكرا تفهموا إيش معنات الرسمة و إيش معنات السرعة
+
+135
+00:11:24,100 --> 00:11:31,900
+كيف تجيبها من ال XT تمام؟ الآن بدنا نشتقل احنا
+
+136
+00:11:31,900 --> 00:11:37,090
+وياكم تلت معادلات مشهورة ومعروفةمعادلة الحركة في
+
+137
+00:11:37,090 --> 00:11:42,110
+خط one dimension أو في خط مستقيم Linear motion
+
+138
+00:11:42,110 --> 00:11:45,950
+with constant acceleration constant acceleration
+
+139
+00:11:45,950 --> 00:11:51,950
+شرطها ان ال acceleration is constant تمام؟ نشتقهم
+
+140
+00:11:51,950 --> 00:11:52,630
+مع بعض
+
+141
+00:11:55,360 --> 00:11:58,360
+The simplest type of linear motion is the uniform
+
+142
+00:11:58,360 --> 00:12:04,560
+motion هي أبسط أنواع الحركة يعني هي توجهنا حركات
+
+143
+00:12:04,560 --> 00:12:08,000
+كتيرة بيقول إحنا ده ده ده ده بنمشي مع بعض أبسط
+
+144
+00:12:08,000 --> 00:12:11,780
+أنواع الحركة هي الحركة اللي بيسميها uniform motion
+
+145
+00:12:11,780 --> 00:12:15,560
+with constant acceleration in which the
+
+146
+00:12:15,560 --> 00:12:20,300
+acceleration is constant بيقول في هذه الحالة ايه
+
+147
+00:12:20,300 --> 00:12:26,290
+average؟و ايه؟ واحدة. ليش؟ بيقول الـ Hub إنك عندك
+
+148
+00:12:26,290 --> 00:12:30,690
+خمس أرقام أربعة، أربعة، أربعة، أربعة، أربعة،
+
+149
+00:12:30,690 --> 00:12:33,650
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+150
+00:12:33,650 --> 00:12:34,870
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+151
+00:12:34,870 --> 00:12:35,290
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+152
+00:12:35,290 --> 00:12:35,630
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+153
+00:12:35,630 --> 00:12:41,150
+أربعة، أربعة، أربعة،
+
+154
+00:12:41,150 --> 00:12:47,610
+أربعة، أربعة، أربعة، أربعة، أربعة،
+
+155
+00:12:47,610 --> 00:12:52,510
+أربعةمصبوح لأ؟ إذا لما تكون الشغل ثابتة بيبطل معنى
+
+156
+00:12:52,510 --> 00:12:57,590
+لل average ال acceleration أو زي ما ذك مثال كانت
+
+157
+00:12:57,590 --> 00:13:02,350
+التسارع ثابت كنا بنعود في زمن ماعرفناش أنعود طلعت
+
+158
+00:13:02,350 --> 00:13:05,370
+نفطار الخمسة متر بيرسا كانت تربية ثابتة واحد يقول
+
+159
+00:13:05,370 --> 00:13:07,370
+جديش ال average بقول خمسة متر بيرسا كانت تربية
+
+160
+00:13:07,370 --> 00:13:09,950
+جديش ال instantaneous خمسة متر بيرسا كانت تربية
+
+161
+00:13:09,950 --> 00:13:13,670
+لأنه ثابت عند كل اللحظات إذا بيقول لما تكون
+
+162
+00:13:13,670 --> 00:13:17,480
+التسارع ثابتبقول الـ A average والـ A
+
+163
+00:13:17,480 --> 00:13:21,380
+instantaneous بسوء بعض جالي طباش و عايش بتدور بقول
+
+164
+00:13:21,380 --> 00:13:24,200
+لو بدى قرون ال average إيش بقول؟ بقول القرون ال
+
+165
+00:13:24,200 --> 00:13:29,480
+average V final minus V initial على V final نقص V
+
+166
+00:13:29,480 --> 00:13:33,620
+initial صح ولا لأ؟ هذا ال average هو هذا فهذا حطته
+
+167
+00:13:33,620 --> 00:13:38,020
+هنا و بدل هذا عضمه بتعمل جالي حكاية ال final هذه و
+
+168
+00:13:38,020 --> 00:13:42,080
+ال initial بتغيرها شوية السرعة الابتدادية V
+
+169
+00:13:42,080 --> 00:13:47,600
+initial غالبا بتكون عن T بتسوى 0صح؟ لأننا دائما
+
+170
+00:13:47,600 --> 00:13:51,440
+الزمن بنبدأ من وين؟ من Zero جال عشان كده بدل ما
+
+171
+00:13:51,440 --> 00:13:55,280
+تقولي V initial حط V صفر صفر يعني أنت بتسوى صفر
+
+172
+00:13:55,280 --> 00:14:01,200
+سرعة الأبتدائية فبنغير شوية رموز بدل V initial إيش
+
+173
+00:14:01,200 --> 00:14:06,920
+بتحط؟ V9 ساقتها ال final حطها V وخلاص قدرت أميز
+
+174
+00:14:06,920 --> 00:14:11,180
+بينهمبيقول لي هي الـ we denote V initial by V
+
+175
+00:14:11,180 --> 00:14:15,200
+naught إذا أنا رمزت لـ V initial بإيش؟ V naught و
+
+176
+00:14:15,200 --> 00:14:21,800
+V final؟ V V final و T initial اعتبرتها؟ Zero لأن
+
+177
+00:14:21,800 --> 00:14:25,240
+احنا دائما نبدأ ساعة إيقاف من الـ Zero بنعدد إذا
+
+178
+00:14:25,240 --> 00:14:29,160
+تغير رموز مافيش شيء يجيب نفس القوانين تبعتنا بيقول
+
+179
+00:14:29,160 --> 00:14:38,210
+لي حلو بنعرف نضرب طراب تبادل يصير V-V0 بيساوي ايه؟
+
+180
+00:14:38,210 --> 00:14:46,950
+هذي لو أجيت جلاب تهينا، إيش بيصير؟ بالمجابع عين
+
+181
+00:14:46,950 --> 00:14:51,450
+بيساوي عين سفر زائد ثالثة، صحيح ولا لأ؟ إذا هي أول
+
+182
+00:14:51,450 --> 00:14:59,260
+قانوة سهل نعملها V equal V0 plus A في Tهذه أول
+
+183
+00:14:59,260 --> 00:15:04,200
+معادلة تحكم الحركة بخرق .. اه خدتوها .. ماهي
+
+184
+00:15:04,200 --> 00:15:08,200
+معادلات الحركة؟ نفس ال .. ما احنا قلنا .. نفس
+
+185
+00:15:08,200 --> 00:15:12,200
+الشيء .. في .. في .. في أولى ثانوية .. في قبلها ..
+
+186
+00:15:12,200 --> 00:15:15,880
+يمكن أخدتوها عملية سهلة بس احنا عملنا بنغيدها ..
+
+187
+00:15:15,880 --> 00:15:21,480
+بنثبتها V بس اتغيرت بجل عين صارت V و بجل عين سفر
+
+188
+00:15:21,480 --> 00:15:27,890
+صارت V naughtPlus A T والـ A بدل الـ T والـ T بدل
+
+189
+00:15:27,890 --> 00:15:32,370
+الـ F مافيش اشي تغير واللي فاهم هناك هو نفس
+
+190
+00:15:32,370 --> 00:15:36,270
+المعلومات بس من أني ثبتها و راجعتها صح .. مش أكتر
+
+191
+00:15:36,270 --> 00:15:42,370
+تمام؟ قالوا also because E is constant we can
+
+192
+00:15:42,370 --> 00:15:49,590
+write the average .. قبل ما أجيب هذهتنين، أربعة،
+
+193
+00:15:49,590 --> 00:15:55,930
+ستة، تمانية، عشرة، تنين،
+
+194
+00:15:55,930 --> 00:15:59,190
+أربعة، ستة، تمانية، عشرة، تنين، أربعة، ستة،
+
+195
+00:15:59,190 --> 00:15:59,490
+تنين، أربعة، تنين، أربعة، تنين، أربعة، تنين،
+
+196
+00:15:59,490 --> 00:16:01,690
+تنين، أربعة، تنين، أربعة، تنين، أربعة، تنين،
+
+197
+00:16:01,690 --> 00:16:05,110
+أربعة، تنين، أربعة، تنين، أربعة، تنين، أربعة،
+
+198
+00:16:05,110 --> 00:16:07,790
+تنين، أربعة، تنين، أربعة، تنين، أربعة، تنين،
+
+199
+00:16:07,790 --> 00:16:16,650
+أربعة،و 4 ع 6 و 10 30 ع جديش جديش ال average 6 هذا
+
+200
+00:16:16,650 --> 00:16:21,850
+التقليدي جار طير فيه أسهل هدول لو كانوا ميت رقم ده
+
+201
+00:16:21,850 --> 00:16:25,750
+يجمعهم كلهم يتجسم ع 100 صح؟ إذا الزيادة زي ما هي
+
+202
+00:16:25,750 --> 00:16:32,370
+يجمع للأول والأخير و يتجسم ع 2 صدر 6
+
+203
+00:16:35,220 --> 00:16:38,740
+بشرط أن تكون الزيادة صحيحة الزيادة صحيحة ما هو ال
+
+204
+00:16:38,740 --> 00:16:41,380
+acceleration الشيء هي زيادة في ال velocity إذا ال
+
+205
+00:16:41,380 --> 00:16:45,020
+acceleration ثابتة هنا لو هاجي velocities ماجدش ال
+
+206
+00:16:45,020 --> 00:16:49,900
+acceleration two صح؟ إذا ال acceleration ثابتة بدل
+
+207
+00:16:49,900 --> 00:16:52,240
+ما تجبحهم كلهم مرات ممكن يكونوا مليون و لا اتنين
+
+208
+00:16:52,240 --> 00:16:56,100
+مليون خد أول واحد و آخر واحد و بس مع اتنينو هي
+
+209
+00:16:56,100 --> 00:17:00,080
+ثبتت هنا و كله و جربوا كيف ما بدكم بشرط a is
+
+210
+00:17:00,080 --> 00:17:03,140
+constant الزيادة تكون زي هيك يعني ماينفعش أحط هنا
+
+211
+00:17:03,140 --> 00:17:09,320
+14 و لا 16 لأ لازم 12 و لا 14 و هكذا قال لي إذا
+
+212
+00:17:09,320 --> 00:17:13,700
+كانت a is constant الزيادة ثابتة بيكون ال V
+
+213
+00:17:13,700 --> 00:17:15,740
+average بتجيب الأول و بتجيب الأخر و بتجسم على
+
+214
+00:17:15,740 --> 00:17:21,320
+اتنين الأول تدائي و الأخر نهائي على اتنين قال لي
+
+215
+00:17:21,320 --> 00:17:25,810
+طيب بيشوف إيش بتجيب من ورا هالشغل فيه استفسار؟تمام
+
+216
+00:17:25,810 --> 00:17:30,690
+جالي V average مش اتفقنا بيسوي X final نقص X
+
+217
+00:17:30,690 --> 00:17:34,390
+initial على T final نقص C initial هجت T initial و
+
+218
+00:17:34,390 --> 00:17:41,070
+روحت مش اتفقنا إيش سرقة ال initial روحت و T final
+
+219
+00:17:41,070 --> 00:17:46,250
+صارت T هجت هذه X final صارت X وهذه X initial صارت
+
+220
+00:17:46,250 --> 00:17:53,300
+X naught تمامهذه نفسها متساوية V plus V0 على 2
+
+221
+00:17:53,300 --> 00:17:59,460
+تمام؟ حلو، طيب هذه الـV لا نستطيع أن نشحقها من
+
+222
+00:17:59,460 --> 00:18:10,640
+هنا، صحيح؟ أووضنا عنها إذن
+
+223
+00:18:10,640 --> 00:18:17,960
+شغلها سهل، مجرد تعويض جالي الآن هذه المعادلة وهذه
+
+224
+00:18:17,960 --> 00:18:26,360
+المعادلةدربهم ضرب تبادل بنعرف بيصير اتنين في هذه
+
+225
+00:18:26,360 --> 00:18:30,700
+بيساوي هذي في هذي طبعا هذي V0 و V0 ايه كان V0 و
+
+226
+00:18:30,700 --> 00:18:35,760
+V0؟ اتنين V0 ع اتنين روحت اتنين بيصير V0 فلما نيجي
+
+227
+00:18:35,760 --> 00:18:39,940
+نضربهم بتطلع معايا هذي هم اللي عرفنا ان هذي جت من
+
+228
+00:18:39,940 --> 00:18:49,560
+هنا تمام عوضناهافبتصير x-x0 هنا اتنين بيساوي v0 في
+
+229
+00:18:49,560 --> 00:18:55,440
+T درابة ادي في T في اتنين هذه أصلها صارت اتنين v0
+
+230
+00:18:55,440 --> 00:19:01,460
+زائد a في T تمام؟ جسم على اتنين هذه روحت وهذه صارت
+
+231
+00:19:01,460 --> 00:19:05,360
+نص هنا
+
+232
+00:19:05,360 --> 00:19:08,860
+T صارت .. و اضربها في T صارت هذه T وهذه T تربيع
+
+233
+00:19:08,860 --> 00:19:17,390
+فصارت x-x0بتسوى V0 في T plus half AT تربيع X أو فا
+
+234
+00:19:17,390 --> 00:19:29,110
+بيسوى عن سفر في فا بظبط في Z زائد نص ت فتربيع زي
+
+235
+00:19:29,110 --> 00:19:31,370
+التربيع
+
+236
+00:19:35,000 --> 00:19:40,700
+هذا القانون التاني إذا كان لدي قانونين أو معادلتين
+
+237
+00:19:40,700 --> 00:19:47,420
+بيحكموا الحركة الخطية بتسارع ثابت كمان مرة لو
+
+238
+00:19:47,420 --> 00:19:51,360
+التسارع ثابت .. هل هذه معادلة صح؟لو اول ما اشتغلت
+
+239
+00:19:51,360 --> 00:19:55,900
+ايه؟ اذا A كانت مستمر، او اذا لم يكن مستمر، فهذه
+
+240
+00:19:55,900 --> 00:20:00,820
+مباطلة معادلة صحيحة اللي بنيت عليها، وهنا، لو كانت
+
+241
+00:20:00,820 --> 00:20:04,000
+A مش مستمر، ماقدرش اقول V average بساوي الأول
+
+242
+00:20:04,000 --> 00:20:08,180
+والأخر وجسم على اتنين، اذا شرط المعادلتين هدول ان
+
+243
+00:20:08,180 --> 00:20:11,910
+ال acceleration تكون مستمرلو مش constants مفهوش
+
+244
+00:20:11,910 --> 00:20:14,970
+تساقضيهم قال لي هذه معادلة ايه؟ قال لي ده ال
+
+245
+00:20:14,970 --> 00:20:20,870
+تالتة، ذاكرها التالتة بالعرب الدنيا عين
+
+246
+00:20:20,870 --> 00:20:26,690
+تربيع بالسبعين سفر تربيع زادي اتنين جيم تافة حلو
+
+247
+00:20:26,690 --> 00:20:30,130
+هدول من وين جابوهم؟ قال لي سيدي لا بدهاش أقول ولا
+
+248
+00:20:30,130 --> 00:20:36,680
+حاجة هداك المعادلة شيشيها زمان؟أكتبها عين تربيع
+
+249
+00:20:36,680 --> 00:20:40,000
+يعني V تربيع، صح؟ بيساوي عين سفر تربيع يعني هيك
+
+250
+00:20:40,000 --> 00:20:45,780
+Plus اتنين A في X، فيها زمان؟ لأ، لكن هدول التنتين
+
+251
+00:20:45,780 --> 00:20:49,180
+فيهم زمان، صح؟ جيب الزمان من هان وعوضه هان، تطلع
+
+252
+00:20:49,180 --> 00:20:53,660
+معاك المعادلة جيب الزمان من هان وعوضه هان، روح
+
+253
+00:20:53,660 --> 00:20:58,200
+الزمان، صحيح ولا لأ؟ قدش الزمان من هان يا بنات؟ V
+
+254
+00:20:58,200 --> 00:21:06,350
+بتساوي V minus V لك على Aصحيح؟ هناك بنعوض نجي هنا
+
+255
+00:21:06,350 --> 00:21:10,090
+يلا نعوض نبحي عشان نعوض نكتبها كتابة بتحبوا
+
+256
+00:21:10,090 --> 00:21:17,030
+الكتابة انتوا نجرب راجع الجابر احنا وياكم تمام X
+
+257
+00:21:17,030 --> 00:21:29,070
+-X0 بساوي V0 بدل ال T شحط V-V0 على A plus half A V
+
+258
+00:21:29,070 --> 00:21:37,040
+-V0 على A تربيةمش هيك صحيح؟ يلّا نشمر جبرا هلقيت
+
+259
+00:21:37,040 --> 00:21:43,700
+مش فيزيا بتساوي V0 ب V0 V0 VV مظبوط؟ على إيه؟
+
+260
+00:21:43,700 --> 00:21:52,100
+minus V0 تربيع على إيه؟ أول واحدة أكمل؟ تمام plus
+
+261
+00:21:52,100 --> 00:21:59,780
+إيه حكيت؟ إيش ليش؟ الواحدة قالتش ليش شغل معين بلاش
+
+262
+00:21:59,780 --> 00:22:09,910
+تمام نصA ربعه V تربيع زائد V نوت تربيع minus اتنين
+
+263
+00:22:09,910 --> 00:22:18,310
+V V نوت على A تربيع صحيك ابتعفوا المربع كامل مربع
+
+264
+00:22:18,310 --> 00:22:22,450
+الأول زاد مربع التاني زاد او ناقص اتنين في الأول
+
+265
+00:22:22,450 --> 00:22:25,910
+في التاني تمام برضه هذي جابير اتدائي و لا اعدادي
+
+266
+00:22:25,910 --> 00:22:34,470
+زمان اعدادييلا بيستوى V0 في V على A minus V0 تربيع
+
+267
+00:22:34,470 --> 00:22:39,710
+على A بدي ادخل هذه هذي بتروح مع هذه بالصير زائد نص
+
+268
+00:22:39,710 --> 00:22:47,110
+V تربيع زائد نص V0 تربيع ناقص V في V0 التانية روحت
+
+269
+00:22:47,110 --> 00:22:54,230
+مع النص مظبوط؟ صحين؟ صحين على A على A يا عين أنت
+
+270
+00:22:54,230 --> 00:23:01,800
+شطرين أشتر من هنامرهض عليك أحسن إيه قبل يضطر؟
+
+271
+00:23:01,800 --> 00:23:08,240
+طلعولي على هدى وع هدى والله سهل عليها في مشكلة؟
+
+272
+00:23:08,240 --> 00:23:16,080
+طيب هدى و هدى هدى في إيه و هدى في إيه؟ هدى و هدى
+
+273
+00:23:16,080 --> 00:23:22,800
+هدى ناقص واحد و هدى زائد نص سالب نص واحد ناقص نص
+
+274
+00:23:22,800 --> 00:23:31,050
+زائد نص- نص إذا مستوي V
+
+275
+00:23:31,050 --> 00:23:39,350
+نوت تربيع على 2A زائد V تربيع على 2A مستوي X minus
+
+276
+00:23:39,350 --> 00:23:46,190
+X نوت خلصنا
+
+277
+00:23:46,190 --> 00:23:53,480
+هيكصحيح؟ بدي اضرب في ايش؟ بدي اضرب في 2A فصارت V
+
+278
+00:23:53,480 --> 00:23:59,580
+تربيع ناقص V نوت تربيع بيسوي X ناقص X نوت في 2 في
+
+279
+00:23:59,580 --> 00:24:04,660
+A إذا صارت V تربيع بيجيب هذه وحطها هناك V نوت
+
+280
+00:24:04,660 --> 00:24:12,540
+تربيع plus 2A X minus X naught وهذه هي ف .. هاي
+
+281
+00:24:12,540 --> 00:24:17,440
+طلعت المعادلةسهلة جبر طبعا الحمد لله مش هتقولكم
+
+282
+00:24:17,440 --> 00:24:23,620
+اشتقوا انا ولا واحد يعمل التلاتة الحمد لله تمام
+
+283
+00:24:23,620 --> 00:24:27,980
+لأنه ليش؟ ماخدتوها في خمس .. سابع
+
+284
+00:24:29,810 --> 00:24:34,290
+هذه لأ .. هذه للصغار بنجيبها انتوا كبرتوا ما شاء
+
+285
+00:24:34,290 --> 00:24:37,650
+الله عليكم و جيبكم تشتقوا هذه و مع المبسطة في
+
+286
+00:24:37,650 --> 00:24:40,410
+السابع و اين راحوا؟ مش هيتعبوكم خلصنا و أخدتوا
+
+287
+00:24:40,410 --> 00:24:44,910
+الجبر؟ خلصنا بس احنا بنستفيد من اللي أخدتوه هناك
+
+288
+00:24:44,910 --> 00:24:49,530
+يعني بس بنحس .. أو بنحسسكم أن اللي أخدتوه في
+
+289
+00:24:49,530 --> 00:24:52,410
+السابع و في التامن مفيد هي استخدمناها في الجامعة
+
+290
+00:24:59,170 --> 00:25:07,150
+أذا كتبت أنا بعد ما جيت اعوضه بقول الان now as v
+
+291
+00:25:07,150 --> 00:25:10,410
+بيساوي v not plus a t جيب ال T زي ما قلت لو معاكم
+
+292
+00:25:10,410 --> 00:25:13,410
+بعيدة من جد بقالكم هكذا انا كتبت بقوله هذا بعيد
+
+293
+00:25:13,410 --> 00:25:18,110
+اعادة هذي bonus يعني تمام جيب ال T قال لي اذا اروح
+
+294
+00:25:18,110 --> 00:25:23,930
+اعوض v not توي عملته بالظبط عملناهم مع بعض فقال لي
+
+295
+00:25:23,930 --> 00:25:28,580
+هادي روحت مع هاديوصارت القضية هيك وبالتالي هاي طلع
+
+296
+00:25:28,580 --> 00:25:33,760
+القانون التالت إذا صار عندي تلت معادلات تحكم
+
+297
+00:25:33,760 --> 00:25:40,880
+الحركة الخطية بسرعة .. باتسارع ثابت هذه الأصل تمام
+
+298
+00:25:40,880 --> 00:25:46,590
+بقول كده بجعل المسائل الآنانت تتني تلت معادلة، بده
+
+299
+00:25:46,590 --> 00:25:50,490
+حل فيها مسائل، strategy for solving problems with
+
+300
+00:25:50,490 --> 00:25:52,830
+constant acceleration سؤال في constant
+
+301
+00:25:52,830 --> 00:25:56,290
+acceleration، بده حله، بيقول فيه استراتيجية انت
+
+302
+00:25:56,290 --> 00:26:00,650
+اعتمدها، بيسهل عليك طريقة الحل كتير، ايش هي هذه
+
+303
+00:26:00,650 --> 00:26:04,260
+الاستراتيجية؟بقول choose your coordinates such
+
+304
+00:26:04,260 --> 00:26:08,440
+that the particle begins its motion from the
+
+305
+00:26:08,440 --> 00:26:13,060
+origin دايما احاول تخلي X0 سوى 0 ممكنك يعني ابدأ
+
+306
+00:26:13,060 --> 00:26:15,700
+من هناك هي ال origin تبعي جالك الجسم بدأ من النقطة
+
+307
+00:26:15,700 --> 00:26:20,600
+الفلوانية بقول هي ال origin تبعي بصير عندك T0 0 و
+
+308
+00:26:20,600 --> 00:26:28,010
+X0 0طيب انا اسألك طيب انا انا
+
+309
+00:26:28,010 --> 00:26:32,810
+انا انا انا انا
+
+310
+00:26:32,810 --> 00:26:50,310
+انا
+
+311
+00:26:50,310 --> 00:26:55,810
+اناو كل جسم بدل حركة من هنا إلى هنا و راح بهذه
+
+312
+00:26:55,810 --> 00:26:59,770
+الشكلة يخلّي كل الموجب هكذا و خلاص بدل ما تكون كله
+
+313
+00:26:59,770 --> 00:27:04,750
+سالب سالب سالب كله خلّيه موجب يعني نرجع لشيء تاني
+
+314
+00:27:04,750 --> 00:27:10,560
+مش الصاضي هكذا دايمافي الحركة .. سقوط الحر ..
+
+315
+00:27:10,560 --> 00:27:15,800
+ذاكرينه؟ في سقوط الحر، الجسم بسقط، إلى أسفل، إلى
+
+316
+00:27:15,800 --> 00:27:18,500
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+317
+00:27:18,500 --> 00:27:18,720
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+318
+00:27:18,720 --> 00:27:21,320
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+319
+00:27:21,320 --> 00:27:23,540
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+320
+00:27:23,540 --> 00:27:28,660
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+321
+00:27:28,660 --> 00:27:31,580
+أسفل،
+
+322
+00:27:32,360 --> 00:27:35,220
+Decide the sense of the positive direction و اين
+
+323
+00:27:35,220 --> 00:27:37,340
+ال positive تبعت و اختارته و انت ممكن تختاره
+
+324
+00:27:39,890 --> 00:27:42,970
+Make a list of the known quantities. بتجيب انت
+
+325
+00:27:42,970 --> 00:27:45,970
+المعطيات الـknown quantities كمية المعطية اللي انت
+
+326
+00:27:45,970 --> 00:27:50,050
+عارفها المعطية بالسؤال بيقول لي make a list of the
+
+327
+00:27:50,050 --> 00:27:52,890
+known quantities اعملهم list سرعة تدعية معطكية
+
+328
+00:27:52,890 --> 00:27:56,330
+هقول هي سرعة تدعية إزاحة معطكية هقول هذا معطة زمن
+
+329
+00:27:56,330 --> 00:28:00,910
+معطكية هذا معطة كل هذا بتعمله list تمام؟ Don't
+
+330
+00:28:00,910 --> 00:28:05,050
+forget to write any vector quantity زي إزاحة سرعة
+
+331
+00:28:05,050 --> 00:28:11,600
+تصور صح؟هذه كمية الـ vectors تمام لماذي تكتبها؟
+
+332
+00:28:11,600 --> 00:28:14,740
+جالك السرعة خمسة طب أقولها خمسة موجب ولا سالب؟ حسب
+
+333
+00:28:14,740 --> 00:28:18,380
+ال direction اختارته هب انك انت قولت انا اتجاهي
+
+334
+00:28:18,380 --> 00:28:23,840
+الأسفل هو الموجب نيح؟ و جالك الجسم قضفته إلى أعلى
+
+335
+00:28:23,840 --> 00:28:28,360
+بسرعة مقدرها كذا بقول هذا سالب؟تمام؟ إذا لما حطت
+
+336
+00:28:28,360 --> 00:28:32,200
+المعطى بقول V0 بسوى سالب خمسة، بقولش خمسة عشان ما
+
+337
+00:28:32,200 --> 00:28:35,400
+اتخربطش في المعول، من أول أنا قولت كل حاجة اللي
+
+338
+00:28:35,400 --> 00:28:38,660
+أسفل بدي اعتبرها موجة بقى وجالي قضف الجسم إلى أعلى
+
+339
+00:28:38,660 --> 00:28:42,220
+بسرعة مقدارها خمسة متر per second على طول بقول ما
+
+340
+00:28:42,220 --> 00:28:45,360
+زال لأ أعلى بقول V0 بسوى سالب خمسة متر per second
+
+341
+00:28:45,960 --> 00:28:48,940
+إذا حطيت الـSolible ولا لأ؟ حسب الـdirection اللي
+
+342
+00:28:48,940 --> 00:28:52,500
+أعطاني إياه إذا don't forget to write any vector
+
+343
+00:28:52,500 --> 00:28:57,380
+quantity و هم الـX أو الـV أو الـV0 أو الـA هاي ال
+
+344
+00:28:57,380 --> 00:29:01,580
+vector quantities تبقى للزمن صح؟ و الزمن scale up
+
+345
+00:29:01,580 --> 00:29:04,960
+تشي that have a direction opposite to your
+
+346
+00:29:04,960 --> 00:29:09,220
+positive sense عكس اللي انت حطيته إلى as a
+
+347
+00:29:09,220 --> 00:29:11,900
+negative quantity وهنا أدينا مثال
+
+348
+00:29:15,470 --> 00:29:18,150
+Make sure that all the quantities have the same
+
+349
+00:29:18,150 --> 00:29:19,050
+system of units
+
+350
+00:29:29,550 --> 00:29:32,870
+بقولي according to what is given and what is
+
+351
+00:29:32,870 --> 00:29:36,510
+requested يصير عندك إنت معطيات ومطلوب مطلوب و بتحط
+
+352
+00:29:36,510 --> 00:29:39,970
+جنبك التلت معاجلات اللي توي اشتقناها و تقول أي
+
+353
+00:29:39,970 --> 00:29:43,250
+أنسب معاجلة نجيبها انا افترض انه مافيش من المعطيات
+
+354
+00:29:43,250 --> 00:29:47,490
+أي زمن بقول إذا المعاجلة التالتة صح ولا لا أنه
+
+355
+00:29:47,490 --> 00:29:51,230
+والله أقول والله مافيش عندي صعوبة نهائية بالمرة
+
+356
+00:29:51,230 --> 00:29:55,290
+بقول التانيةالتانية بتقول X بساوة مينوت في T plus
+
+357
+00:29:55,290 --> 00:29:58,490
+half أيه تتربيع في الشيء السرعيني أيه فانت مع
+
+358
+00:29:58,490 --> 00:30:03,650
+التجربة بتقول أي معادلة الأنسب لك او بتعملهم سواء
+
+359
+00:30:03,650 --> 00:30:06,490
+تلت معادلات مع بعض بتجيب واحد من واحد و في الآخر
+
+360
+00:30:06,490 --> 00:30:10,650
+شطرتك بتطلع الموضوع بصير العملية سهلة برضه بنرجع
+
+361
+00:30:10,650 --> 00:30:15,290
+لجبر نفترض أنه والله مش مديني زمانو لمّا جيت أروح
+
+362
+00:30:15,290 --> 00:30:17,910
+على معادلة أخيرة وجيت مافيش صراع نهائية بقدر
+
+363
+00:30:17,910 --> 00:30:21,950
+أتعامل مع كنتين الأولانيات و أجيبهم فسهل أنه
+
+364
+00:30:21,950 --> 00:30:27,280
+نتعامل معاهم نبدأ مثلا .. طبعا احنا الموضوع هذامش
+
+365
+00:30:27,280 --> 00:30:32,080
+كتير مركزين عليه مديكم مثله و بنقلب على شغل تاني
+
+366
+00:30:32,080 --> 00:30:34,560
+لإيه؟ لأنه أنا بتحيالي هذا الموضوع أنتوا شبعتوا
+
+367
+00:30:34,560 --> 00:30:38,340
+منه في المدارس صحيح ولا ده؟ وبالتالي احنا عارفين
+
+368
+00:30:38,340 --> 00:30:41,540
+طبعا احنا منهاجكم بنعرفه بدا اللي بنديكم بس مراجعة
+
+369
+00:30:41,540 --> 00:30:48,810
+و المهمنا أني قدام a car starts from restماذا يعني
+
+370
+00:30:48,810 --> 00:30:53,810
+rest؟ بدأ من السكون، بدأ من السكون هذا الـ
+
+371
+00:30:53,810 --> 00:30:56,830
+totality من أن الصراع اللي بتدعي جديش، إذا هذا
+
+372
+00:30:56,830 --> 00:31:01,850
+مُعطَع، a car starts from rest and moves with
+
+373
+00:31:01,850 --> 00:31:05,750
+constant acceleration، إذا انت ساره ثالث، إذا ثلاث
+
+374
+00:31:05,750 --> 00:31:10,150
+معادلات ممكن نستخدمهمafter 12 seconds إذن الـ T
+
+375
+00:31:10,150 --> 00:31:13,610
+أعطاني يهو ولا لأ؟ its velocity becomes one
+
+376
+00:31:13,610 --> 00:31:16,590
+hundred and twenty meters per second أعطاني السرعة
+
+377
+00:31:16,590 --> 00:31:19,910
+النهائية إذا السرعة النهائية معروفة، السرعة النهية
+
+378
+00:31:19,910 --> 00:31:25,490
+معروفة، إيش بده؟والزمن معروف the acceleration of
+
+379
+00:31:25,490 --> 00:31:29,610
+the car هذه سهلة تقول يا وردي ماذا تفاهى الفيزياء
+
+380
+00:31:29,610 --> 00:31:33,010
+هذه سهلة أزهجنا وحنا قاعدين نحل مسائل زيك و لا لأ
+
+381
+00:31:33,010 --> 00:31:37,270
+طيب إيش بده الكمان the distance the car travels in
+
+382
+00:31:37,270 --> 00:31:45,350
+the 12 second اكس اكس سهلة ثم سرعة ابتدائية و سرعة
+
+383
+00:31:45,350 --> 00:31:50,500
+نهائية و زمن أي معادلةالأولى شايفين ما أشاركوا؟
+
+384
+00:31:50,500 --> 00:31:55,620
+قاعدكوا بشاطر أيه؟ تمام؟ لأن معادلة الأولى بتقول V
+
+385
+00:31:55,620 --> 00:32:00,780
+equal V not V معروفة و V not معروفة plus A في T T
+
+386
+00:32:00,780 --> 00:32:04,480
+معروفة ولا لا؟ إيش المجهول الوحيد؟ A وإيش بده هو؟
+
+387
+00:32:04,480 --> 00:32:08,500
+بده A في سخلة فبقوللي
+
+388
+00:32:09,620 --> 00:32:12,120
+Let the direction of the motion be along the
+
+389
+00:32:12,120 --> 00:32:15,340
+positive x-axis انا السيارة باعتبرها هيك ماشية
+
+390
+00:32:15,340 --> 00:32:19,000
+وهذا اتجاه الموجب Where the car starts from the
+
+391
+00:32:19,000 --> 00:32:23,440
+origin الـT بالثورة صفر و X0 بالثورة صفر طيب بقول
+
+392
+00:32:23,440 --> 00:32:27,680
+للمعادلة V equal V0 plus AT إذا الـA بتثور V minus
+
+393
+00:32:27,680 --> 00:32:36,630
+V0 على T تمام؟ هذه 120 وهذه 0 وهذه 100يريد كل
+
+394
+00:32:36,630 --> 00:32:43,150
+الأسئلة زيها صحيح؟ وهي في كتير أسئلة زيها but
+
+395
+00:32:43,150 --> 00:32:46,570
+v not equal to 0 احنا بنطول الحل عشان بتحسوا انه
+
+396
+00:32:46,570 --> 00:32:51,010
+محرز يعني v not بالساوة 0 وv بالساوة 120 وt
+
+397
+00:32:51,010 --> 00:32:55,130
+بالساوة 12 second قبل ما نعود وطلعت عشرة متر per
+
+398
+00:32:55,130 --> 00:33:00,770
+second square سهل طيب ايه ضعيلة to find the
+
+399
+00:33:00,770 --> 00:33:06,230
+distance طب عندك زمنوعندك سرعة اقتدائية وبدك مسافة
+
+400
+00:33:06,230 --> 00:33:10,510
+ما القانون التاني بيجيبها .. صحيح؟ القانون التاني
+
+401
+00:33:10,510 --> 00:33:13,710
+.. طب القانون الأخير .. قليل برضه بيجيبها واحد
+
+402
+00:33:13,710 --> 00:33:17,190
+بيقول طب بينا أسهل ليه؟ .. بيقول هادي بادي اختار
+
+403
+00:33:17,190 --> 00:33:20,170
+اللي .. وين ما يجع .. قدمك .. و بعدين في التاني
+
+404
+00:33:20,170 --> 00:33:23,630
+بتأكد الجواب .. عشان نشوف انه صح ولا لا .. مش هاكل
+
+405
+00:33:23,630 --> 00:33:26,430
+في أحد بيراجع .. بحلها بطريقة تانية .. و الله إذا
+
+406
+00:33:26,430 --> 00:33:29,390
+طلع نفسي جواب .. بيقول صار في تواتر .. خلاص ..
+
+407
+00:33:29,390 --> 00:33:35,960
+أكيد الحال صحيح .. تمام؟X بيتساوي V0 في T بلس half
+
+408
+00:33:35,960 --> 00:33:44,040
+E T T Square بيدو X V0 جديهش؟ Zero Zero في T ولا
+
+409
+00:33:44,040 --> 00:33:47,300
+Zero في خمسة؟ هد Zero في .. جديش T؟ أتنعش؟ بتحصل
+
+410
+00:33:47,300 --> 00:33:50,160
+تكون Zero في أتنعش في أتنعش، أتنعش أجور بتظل هد
+
+411
+00:33:50,160 --> 00:33:56,140
+أتنعش؟ تمام Zero في أتنعش جديهش؟ Zero plus half E
+
+412
+00:33:56,140 --> 00:34:01,280
+طلعتها في T Square وهد ال calculator طلعتهاطلع الـ
+
+413
+00:34:01,280 --> 00:34:09,000
+720 متر هذه سهلة في أي صعوبة فيها؟ في أي استفسار
+
+414
+00:34:09,000 --> 00:34:12,740
+يا بنات؟ سهلة الأعمالية لسه ماخشيناش في الجد يعني
+
+415
+00:34:12,740 --> 00:34:18,420
+لسه احنا موضعنا .. سهلة هال gate نيجي للـ free
+
+416
+00:34:18,420 --> 00:34:21,680
+-falling bodies جالي الـ free-falling bodies
+
+417
+00:34:21,680 --> 00:34:27,100
+الشيهة دي سقوط الحر الشومين يقولش هو سقوط الحر و
+
+418
+00:34:27,100 --> 00:34:28,020
+لسه مو سقوط حر
+
+419
+00:34:38,380 --> 00:34:42,300
+بالظبط إذا شو سقط الحق؟ احكي فيه عندك حاجة تانية
+
+420
+00:34:42,300 --> 00:34:42,640
+احكي
+
+421
+00:34:46,900 --> 00:34:50,580
+اللي هي الجاذبية الأرضية وكأنه في حد مقدر يلغي
+
+422
+00:34:50,580 --> 00:34:54,160
+الجاذبية الأرضية في قوة؟ هذي مقدرين فيها قال إذا
+
+423
+00:34:54,160 --> 00:34:57,800
+مافيش قوة غيرها الجاذبية الأرضية يقول الجسم يسقط
+
+424
+00:34:57,800 --> 00:35:03,880
+سقوط حر هذه تعريف السقوط الحر عليه قوة واحدة و هي
+
+425
+00:35:03,880 --> 00:35:07,880
+قوة جاذب الأرض قوة جاذب الأرض بتلقيش لأنه شغلة من
+
+426
+00:35:07,880 --> 00:35:12,190
+الخليقة من طبيعة الأمور من طبيعة الدنيابيقول .. a
+
+427
+00:35:12,190 --> 00:35:15,550
+free falling body is anybody .. anybody .. moving
+
+428
+00:35:15,550 --> 00:35:19,290
+freely .. بتحرك بحرية .. طبعا كلمة حرية يعني ماحد
+
+429
+00:35:19,290 --> 00:35:23,270
+بيأثر عليه .. مافيش قوة تانية .. under the
+
+430
+00:35:23,270 --> 00:35:27,110
+influence تحت تأثير .. under the influence of
+
+431
+00:35:27,110 --> 00:35:30,190
+gravity .. gravity الجاذبية .. و influence تأثير
+
+432
+00:35:30,190 --> 00:35:32,550
+.. يكون مرض عليكم influence في المدارس .. ال
+
+433
+00:35:32,550 --> 00:35:36,130
+gravity regardless of its initial motion .. بغض
+
+434
+00:35:36,130 --> 00:35:39,710
+النظر عن طبيعة الحركة .. يعني كيف .. هذه الجلمة لو
+
+435
+00:35:39,710 --> 00:35:44,630
+نزلته .. سقط حر ولا لا؟هي سقوط حر طيب لو طلعته فوق
+
+436
+00:35:44,630 --> 00:35:50,470
+و الله سقوط حر لما أنا فلته هجيت سفلته هطار ..
+
+437
+00:35:50,470 --> 00:35:53,630
+بديش اطير و لاحظة بعدين يجي ع حدك طبعا؟ طار فوق ..
+
+438
+00:35:53,630 --> 00:35:58,930
+فأول ما فلته مين بيأثر عليه؟ دي ذهب إذا سقوط حر
+
+439
+00:35:58,930 --> 00:36:04,570
+ولا لا؟ إذا بغض النظر أنا نزلته تحت ولا طلعته فوق؟
+
+440
+00:36:04,570 --> 00:36:07,690
+regardless of its initial motion بغض النظر وين أنت
+
+441
+00:36:07,690 --> 00:36:10,190
+بدأت حركتك طب لأش أنا هذا
+
+442
+00:36:13,520 --> 00:36:17,920
+السقوط الحُر مغلوفات السقوط الحُر .. إيه تعريف
+
+443
+00:36:17,920 --> 00:36:22,340
+المغلوفات؟ أي جسم بيأثر عليه فقد الجاذبية الأرضية؟
+
+444
+00:36:22,340 --> 00:36:26,340
+زي هذه ولا لا؟ إيش بيفرق؟ بيقول يهدأك الـInitial
+
+445
+00:36:26,340 --> 00:36:29,980
+Velocity تبعته ممكن تكون لها مركبتين، سنية وصادية
+
+446
+00:36:29,980 --> 00:36:33,400
+لكن هنا المركب .. تصل إلى الإتدائية لمركبة واحدة،
+
+447
+00:36:33,400 --> 00:36:40,080
+صادية، بس فبالتالي بيقول كل سقوط حُر هومقلوفة الـ
+
+448
+00:36:40,080 --> 00:36:43,380
+projectile motion سنأخذها أما الـ projectile
+
+449
+00:36:43,380 --> 00:36:46,420
+motion ممكن تجاوز أن نقول عنها سقوط حُر لكن عشان
+
+450
+00:36:46,420 --> 00:36:50,860
+نتميزها و لا نتخلص عنها أما كل سقوط حُر هو حركة
+
+451
+00:36:50,860 --> 00:36:56,140
+مقلوفة بس مجرد حالة لمانية تلقائيا فيها طيب افهمنا
+
+452
+00:36:56,140 --> 00:36:59,680
+بقول assuming that the gravitational acceleration
+
+453
+00:36:59,680 --> 00:37:05,870
+من أي مقالع هذه تسارع تبع الجاذبية بنظر برمز Gمش
+
+454
+00:37:05,870 --> 00:37:12,690
+ايه acceleration جي هذه ثابتة من كلمة gravity و
+
+455
+00:37:12,690 --> 00:37:17,790
+تعتبر ثابتة طبعا لازم نعرف انه حسبتوا بدتوا تاخدوا
+
+456
+00:37:17,790 --> 00:37:25,310
+معامل لسه ما عملتوش ولا تجربة هتحسبوا جي في غزة او
+
+457
+00:37:25,310 --> 00:37:30,730
+في معملنا يعنى لان جي هذه تتغير من مكان لمكان كيف
+
+458
+00:37:30,730 --> 00:37:35,330
+تتغير من مكان لمكان فوق غير عن تحتأو في القطب
+
+459
+00:37:35,330 --> 00:37:38,050
+الشمالي غير على النصف أكتر من الشغل اللي بتأثر
+
+460
+00:37:38,050 --> 00:37:41,450
+عليها دوران الكورة الأرضية بيأثر عليها الارتفاع
+
+461
+00:37:41,450 --> 00:37:44,610
+بيأثر عليها احنا هذه واحدة واحدة بنعتبرها ثابتة
+
+462
+00:37:44,610 --> 00:37:48,470
+يعني ليش انا بحكيلكم مش بكرة طلعوها تسعة أو ستة
+
+463
+00:37:48,470 --> 00:37:51,290
+اتقولوا غلط و تحط زائد زيفه في ال .. في الدأتة
+
+464
+00:37:51,290 --> 00:37:54,430
+عشان طلعوها تسعة و تمانية لأ لأ لأ مش مشكلة طلعوها
+
+465
+00:37:54,430 --> 00:37:58,850
+تسعة و ستة طلعوها عشرة مش مهم مافيش مشكلة لإن احنا
+
+466
+00:37:58,850 --> 00:38:01,570
+مش عارفين انها بغزة بغزة متجدش طبعا ممكن نعرفها بس
+
+467
+00:38:01,570 --> 00:38:07,070
+خلينا انأنا أعتقد في الأسئلة التي كنت أعتبرها
+
+468
+00:38:07,070 --> 00:38:10,230
+ثابتة قرية تعتبر تسعة بون تمانية متر بيها ساكن
+
+469
+00:38:10,230 --> 00:38:13,850
+تربية denoted by G إذا طول ما سألها برامج G is
+
+470
+00:38:13,850 --> 00:38:18,930
+constant وكان طيب هذه ال acceleration G ثابتة ممكن
+
+471
+00:38:18,930 --> 00:38:21,550
+أستخدم تلت معادلات اللي اشتقتكم انا وياكم او لا؟
+
+472
+00:38:21,550 --> 00:38:25,990
+اه هجبلك شرطه ان ال acceleration تكون constant وهي
+
+473
+00:38:25,990 --> 00:38:32,040
+ال acceleration G ثابتة تمامنستطيع أن نعتبر محرك
+
+474
+00:38:32,040 --> 00:38:37,360
+جسد مستقل كمحرك عمودي مع تحرير مستقل لماذا عمودي؟
+
+475
+00:38:37,360 --> 00:38:40,600
+قال لي مستحيل الجسم إذا طلعته فوق أو نزلته لتحت
+
+476
+00:38:40,600 --> 00:38:45,200
+يعوج هيك أو هيك ما هو مين يعوجه؟ قوة و القوة في
+
+477
+00:38:45,200 --> 00:38:49,120
+الشلاء عمودية is a no way إلا أنك تكون بخط واحد
+
+478
+00:38:49,120 --> 00:38:56,610
+لأنه عندك تسرع بخط واحد طيب .. في شي هنا؟ لأSince
+
+479
+00:38:56,610 --> 00:39:00,110
+the motion is vertical بقول انت الحركة الـ free
+
+480
+00:39:00,110 --> 00:39:05,430
+-falling vertical صح؟ ايش معنى vertical؟ عمودي ..
+
+481
+00:39:05,430 --> 00:39:08,550
+vertical يعني عمودي الـ free-falling عمرها بمكانة
+
+482
+00:39:08,550 --> 00:39:13,270
+أفقية السقوط الحور .. لأ .. تمام و العمودي عادة دي
+
+483
+00:39:13,270 --> 00:39:19,900
+اكس ولا وايY وقوانينك اللي انت عملتها قولت X بيسوء
+
+484
+00:39:19,900 --> 00:39:26,640
+V0 plus half V0 في T .. sorry V0 plus AT صحيح ولا
+
+485
+00:39:26,640 --> 00:39:30,880
+لا؟ هذه X على اعتبار أنها حركة أفقية طب لو عمودية،
+
+486
+00:39:30,880 --> 00:39:33,750
+فانا أغيرها، خلّي هواطب واحد بيقول أنا و ال Y
+
+487
+00:39:33,750 --> 00:39:37,650
+مصحبة، بدي خلّيها X؟ خلّيها X، ماتفرجش معاك، يعني
+
+488
+00:39:37,650 --> 00:39:41,230
+بمعنى أخر، ممكن هذه تصبح X وهذه واحد معاند مع ال
+
+489
+00:39:41,230 --> 00:39:44,630
+X، مابحبش ال Y بالمرة، مابريها Y ما تكون، تكون
+
+490
+00:39:44,630 --> 00:39:50,190
+معاه X، ماتفرجش يعني احنا تجاوزة بنحطها Y عشان
+
+491
+00:39:50,190 --> 00:39:53,630
+المتعودين للناس كل حاجة عموديها تكون Y واحد بيقول
+
+492
+00:39:53,630 --> 00:39:56,550
+أنا و ال Y مصحبة، مابدي خلّيها X؟ خلّيها X، مافيش
+
+493
+00:39:56,550 --> 00:39:57,290
+عندك مشكلة
+
+494
+00:40:00,940 --> 00:40:03,720
+ماذا يكتب في الـ Third Persons تبعي؟ With a
+
+495
+00:40:03,720 --> 00:40:07,060
+positive sense is upward كل حاجة الأعلى ليش
+
+496
+00:40:07,060 --> 00:40:13,200
+بتعتبرها موجبة وكل حاجة أسفل سالبة حلو طب كيف بدي
+
+497
+00:40:13,200 --> 00:40:17,140
+أعرفها؟ بقول لهم هو بديك السؤال طبيعته مش بديك
+
+498
+00:40:17,140 --> 00:40:20,280
+سرعات تدائية كيف بقولك والله قذفتها الأعلى قذفتها
+
+499
+00:40:20,280 --> 00:40:22,900
+الأعلى قذفتها الأسفل قذفتها الأسفل طب في شغلة بدي
+
+500
+00:40:22,900 --> 00:40:26,680
+مش إياها تصارع الجانبية بالنسبة ليه يعطينا إياها؟
+
+501
+00:40:27,400 --> 00:40:34,080
+كيف اتجاهك؟ دائما الأسفل في مجال تكون مرة ميلة و
+
+502
+00:40:34,080 --> 00:40:39,940
+مرة أعلى و مرة الأسفل، مافي مجال بغض النظر عن حركة
+
+503
+00:40:39,940 --> 00:40:44,520
+الجسم حركة الجسم لفوق، التسارع لأسفل حركة الجسم
+
+504
+00:40:44,520 --> 00:40:48,900
+لأسفل، التسارع لأسفل تمام؟ حركة الجسم ساكنة،
+
+505
+00:40:48,900 --> 00:40:52,380
+التسارع .. التسارع لأسفل؟ مافي شيء، إذا بيه أرضية،
+
+506
+00:40:52,380 --> 00:40:55,260
+ماتتغيرش تمام؟ احكيه
+
+507
+00:41:02,800 --> 00:41:07,580
+طيب و لمّا كلها أسفل؟
+
+508
+00:41:07,580 --> 00:41:11,500
+إيش كنت تسوي؟ ليش أنا أركز على النقطة هذه؟ إيش كنت
+
+509
+00:41:11,500 --> 00:41:14,820
+تسوي انت؟ شو ولد تجاهه عكس الجاذبية؟
+
+510
+00:41:21,650 --> 00:41:25,430
+لأ هنا في معلومة مغلوطة يعني ممكن انتوا كنتوا تحلو
+
+511
+00:41:25,430 --> 00:41:30,150
+تحلو صح لكن مركبة دوا مخكم داخل غلط يعني ماهي دعوة
+
+512
+00:41:30,150 --> 00:41:36,530
+باتجاه الحركة عشان كده انا كاتب كاتب
+
+513
+00:41:36,530 --> 00:41:39,530
+هنا في مكان ما المهم بغض النظر عن اتجاه الحركة
+
+514
+00:41:39,530 --> 00:41:44,150
+التسارع بتمت على ايش اتجاهك الموجبإنت اتجاهك
+
+515
+00:41:44,150 --> 00:41:46,970
+الموجب كيف؟ في بعض المسائل اتجاهك الموجب يكون
+
+516
+00:41:46,970 --> 00:41:52,650
+الأعلى إذا التصارُع ماله؟ سالم إذا جلبتي اتجاهك
+
+517
+00:41:52,650 --> 00:41:56,230
+الموجب لأسفل ساعتها بتجلبك عشان كده أنا منصح
+
+518
+00:41:56,230 --> 00:42:01,690
+حتتالي دايما خدوا اتجاهكم الموجب لأعلى كل شي موجب
+
+519
+00:42:01,690 --> 00:42:07,430
+لأعلى ساعتها دايما التصارع سالم دايما كل حاجة
+
+520
+00:42:07,430 --> 00:42:11,630
+لأعلى يكون موجبة ورايح حالك عشان نصرش نقول كيف
+
+521
+00:42:11,630 --> 00:42:15,580
+الحركةماليش دعوة في الحركة التصارُع ماليش دعوة في
+
+522
+00:42:15,580 --> 00:42:17,100
+الحركة إطلاقا
+
+523
+00:42:19,980 --> 00:42:23,020
+بالتالي بيقول since the motion is vertical we take
+
+524
+00:42:23,020 --> 00:42:25,960
+our axis to be the y-axis with the positive since
+
+525
+00:42:25,960 --> 00:42:29,960
+is upward أنا هنا بدأت اتجاه الموجة من أين لأعلى
+
+526
+00:42:29,960 --> 00:42:34,600
+ساعتها so we replace x by y and the acceleration a
+
+527
+00:42:34,600 --> 00:42:38,740
+by minus g ليش حد تتناقص لأنها لأسفل و قالت كل
+
+528
+00:42:38,740 --> 00:42:42,400
+حاجة لأعلى هي الموجة ده هذي لأسفل ايش بتكون ثانية
+
+529
+00:42:42,400 --> 00:42:44,980
+و قالت جعل القوانين التلاتة اول قانون ايش بيقول
+
+530
+00:42:46,230 --> 00:42:48,970
+الشيء الأساسي هو أن الـGravitational Acceleration
+
+531
+00:42:48,970 --> 00:42:54,110
+دائمًا تعمل عرفت ليش السالب، حكيتها أه، هذي اللي
+
+532
+00:42:54,110 --> 00:42:57,250
+مانسية، بتقول فيه فرق هذي G بالساوية 9.8 متر per
+
+533
+00:42:57,250 --> 00:43:00,970
+second square و بالساوية 32 قدم لكل second تربيع
+
+534
+00:43:00,970 --> 00:43:03,930
+بالنظام الإنجليزي اللي مش هتستخدمه لكن بس للذكرة
+
+535
+00:43:03,930 --> 00:43:09,930
+تظلها هي أول قانون، إيش صعب؟ V equal V naught كانت
+
+536
+00:43:09,930 --> 00:43:13,770
+زائد ET، ذاكرينها؟ جمت الـA واش حدثت محلها؟ minus
+
+537
+00:43:13,770 --> 00:43:14,370
+G
+
+538
+00:43:17,550 --> 00:43:22,070
+-G، طيب القانون التالت كان في X، إيش بحطه بدل X؟
+
+539
+00:43:22,070 --> 00:43:27,510
+Y، واحد حط X مهمش، مافيش مشكلة، V0 في T، minus G
+
+540
+00:43:27,510 --> 00:43:33,150
+بدل plus A، minus G، إذا الـ minus half GT تربيع،
+
+541
+00:43:33,150 --> 00:43:39,670
+والقانون التالت V² equal V0² minus 2G في Y
+
+542
+00:43:43,150 --> 00:43:47,350
+الذي سألته زمنكم، أنا حاطه الآن ملاحظة طلع عايش
+
+543
+00:43:47,350 --> 00:43:52,310
+كاتب انا، يعني لاجيتها محقوقة بيقول remember that
+
+544
+00:43:52,310 --> 00:43:56,950
+the gravitational acceleration g is constant in
+
+545
+00:43:56,950 --> 00:44:01,870
+magnitude and in direction يعني دايما 9.8 و دايما
+
+546
+00:44:01,870 --> 00:44:05,710
+لأسفل متفقين؟ إذن هي constant في المجموعة و
+
+547
+00:44:05,710 --> 00:44:08,970
+الdirection عمرها ما طلعت لفوق و قال يا كان الجلم
+
+548
+00:44:08,970 --> 00:44:11,390
+هدى و حاططه على الطاولة و بعد خمس دقايق قبل أن يجي
+
+549
+00:44:11,390 --> 00:44:14,810
+طايرعقبوا شفت وطار؟ إذا الـ acceleration مستحيل
+
+550
+00:44:14,810 --> 00:44:19,090
+تكون لفوق تمام and تمام this means that the
+
+551
+00:44:19,090 --> 00:44:23,530
+negative sign of the last equations will not be
+
+552
+00:44:23,530 --> 00:44:28,330
+changed ماتغيّرهمش ماتغيّرهمش بمرة unless ..
+
+553
+00:44:28,330 --> 00:44:31,250
+ماكنتش ممكن تغيّرهم you change your positive sense
+
+554
+00:44:31,250 --> 00:44:34,290
+إذا بتجلب كل الدنيا و تخلي كل الحاجة الأسفل فيها
+
+555
+00:44:34,290 --> 00:44:38,280
+positiveساعتها بصحيح لك اتغير، بس في هذه الحالة
+
+556
+00:44:38,280 --> 00:44:43,140
+بكتنك باهي، ساعتها ال V و ال V0 و ال Y بتعملها في
+
+557
+00:44:43,140 --> 00:44:46,560
+نهاية على ذلك، أما انت خليك زي ما هيك انت نزل
+
+558
+00:44:46,560 --> 00:44:50,560
+متعارف و كل حاجة الأعلى هي الموجبة، أريح و بالتالي
+
+559
+00:44:50,560 --> 00:44:53,720
+هدول السوالب، مش أقول الجسم لفوق ولا لتحت، أغير
+
+560
+00:44:53,720 --> 00:44:58,460
+القوانين، مديش أعمل هيكبغض النظر كيف قذفت الجسم
+
+561
+00:44:58,460 --> 00:45:03,200
+لأعلى أو لأسفل القوانين زي ما هم بإشارة السلب
+
+562
+00:45:03,200 --> 00:45:07,540
+تبعتهم على اعتبار كلشي لأعلى positive وكلشي لأسفل
+
+563
+00:45:07,540 --> 00:45:12,800
+negative بتعامل معاهم إذا unless you change your
+
+564
+00:45:12,800 --> 00:45:15,700
+positive sense regardless of the direction of the
+
+565
+00:45:15,700 --> 00:45:19,260
+motion بغض النظر عن اتجاه الحركةاتجاه الحركة
+
+566
+00:45:19,260 --> 00:45:21,640
+مالهاش دعوة بالـ Acceleration بالمرة يا بنات اتجاه
+
+567
+00:45:21,640 --> 00:45:24,260
+الحركة اللي بيحكمها الـ Velocity لما يقوللي واحد
+
+568
+00:45:24,260 --> 00:45:28,240
+نازل بقولك كده سرعته؟ لفوق ولا لتحت؟ واحد نازل
+
+569
+00:45:28,240 --> 00:45:34,140
+سرعته لفوق ولا لتحت؟ سرعته لتحت لكن جسم صاعد لفوق
+
+570
+00:45:34,140 --> 00:45:37,200
+اذا لما يقوللي صاعد او نازل اللي بيلعب دور فيها
+
+571
+00:45:37,200 --> 00:45:39,720
+الـ Velocity طيب جسم صاعد كدهش الـ Acceleration
+
+572
+00:45:39,720 --> 00:45:42,380
+تبعته؟ الـ Acceleration
+
+573
+00:45:44,260 --> 00:45:49,600
+لفوق، ضغط طائرة ما ترجعش، لتحت، الجسم نازل، الـ
+
+574
+00:45:49,600 --> 00:45:54,320
+acceleration تبعته لتحت، جسم طالع، سرعته فوق،
+
+575
+00:45:54,320 --> 00:45:57,640
+الجسم نازل، سرعته تحت، الجسم طالع، السرعة تبعته
+
+576
+00:45:57,640 --> 00:46:01,640
+تحت، الجسم نازل، السرعة تبعته تحت، الجسم نازل،
+
+577
+00:46:01,640 --> 00:46:07,100
+السرعة تبعته تحت، الجسم نازل، السرعة تبعته تحت،
+
+578
+00:46:07,100 --> 00:46:08,880
+الجسم نازل، السرعة تبعته تحت، الجسم نازل، السرعة
+
+579
+00:46:08,880 --> 00:46:09,160
+تبعته تحت، الجسم نازل، السرعة تبعته تحت، الجسم
+
+580
+00:46:09,160 --> 00:46:09,480
+نازل، السرعة تبعته تحت، الجسم نازل، السرعة تبعته
+
+581
+00:46:09,480 --> 00:46:12,390
+تحت، الجسم نازل، السرعة تبعته تحت، الجالـC و لا
+
+582
+00:46:12,390 --> 00:46:16,490
+الـF نحن موجودين عشان نجاوب على كلمة ليش في المخ
+
+583
+00:46:16,490 --> 00:46:22,430
+بس تحكوها بصوت عالي احكيه الـ9 ليه؟ الوزن وين
+
+584
+00:46:22,430 --> 00:46:27,050
+رأسك؟ وين هو الوزن؟ وزن الرجيم، ماشيلك فيه؟ موجود
+
+585
+00:46:27,050 --> 00:46:29,310
+إذا واحد بيشوف حلقة عمل رجيم ولا لا، بيشوف الوزن،
+
+586
+00:46:29,310 --> 00:46:32,190
+ماشيلك فيه هنا؟ ماشيلك فيه الوزن؟ خليا، إيش بديك
+
+587
+00:46:32,190 --> 00:46:37,550
+فيه؟ عادي، ماكنتش تحسنينكنت تحسين بيه بموضوع تاني
+
+588
+00:46:37,550 --> 00:46:41,750
+الوزن acceleration و لا .. و لا سرعة و لا X و لا T
+
+589
+00:46:41,750 --> 00:46:46,370
+ايه شوه؟ كتلة؟ لأ لأ لأ مش كتلة هاد بضحك عليك اذا
+
+590
+00:46:46,370 --> 00:46:49,990
+بيقول كتلة هي .. قوة .. قوة .. قوة .. قوة .. قوة
+
+591
+00:46:49,990 --> 00:46:50,010
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+592
+00:46:50,010 --> 00:46:50,230
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+593
+00:46:50,230 --> 00:46:50,250
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+594
+00:46:50,250 --> 00:46:50,990
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+595
+00:46:50,990 --> 00:46:55,010
+.. قوة .. قوة .. قوة .. قوة
+
+596
+00:46:55,010 --> 00:46:59,270
+.. قأنا لسه مابعرفهاش فالوزن مش هاد مكانه يا بنتي
+
+597
+00:46:59,270 --> 00:47:03,590
+تمام؟ أنا بتعامل مع acceleration احكيلي انت قولت
+
+598
+00:47:03,590 --> 00:47:07,750
+كان الجسم برضه طالع تصرح لأسفل؟ اه تصرح جذبيك؟ كيف
+
+599
+00:47:07,750 --> 00:47:12,930
+يعني؟ جذبيك تصرح لأسفل؟ هو تصرح لأول جهة؟ انا
+
+600
+00:47:12,930 --> 00:47:17,670
+ربيته هذا من اللي بيخليه يتصرح؟ لتحت، انا مافكش
+
+601
+00:47:17,670 --> 00:47:22,930
+مكان نفسي عليه فوق يا بنتي هجيت على هذا قضفته لفوق
+
+602
+00:47:22,930 --> 00:47:28,170
+تصرحوا ايه؟كيف اتجاه تسارعه؟ هو ايش اللي بأثر
+
+603
+00:47:28,170 --> 00:47:32,170
+عليه؟ جاذبية .. كيف اتجاهها؟ تسارع الاسفل .. و هو
+
+604
+00:47:32,170 --> 00:47:34,950
+كيف اتجاه تسارعه؟ يعني كان يظهر انه راح يسقط لأسفل
+
+605
+00:47:34,950 --> 00:47:39,990
+.. تسارعه لأسفل و راح يسقط لأسفل .. تسارعه لأسفل و
+
+606
+00:47:39,990 --> 00:47:41,710
+تسارعه لأسفل و راح يسقط لأسفل .. تسارعه لأسفل و
+
+607
+00:47:41,710 --> 00:47:49,450
+راح يسقط لأسفل .. تسارعه لأسفل و راح يسقط لأسفل ..
+
+608
+00:47:49,450 --> 00:47:56,210
+تسارعه لأسفل و راحكل اللي شأت اللي عندكم حوشوه، بس
+
+609
+00:47:56,210 --> 00:48:00,170
+قولولي ياه بسوت عالي، أي حاجة عندكم ليش، قولوها،
+
+610
+00:48:00,170 --> 00:48:01,490
+مافيش عندنا مشكلة، تاكلوا عافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/EN6JlDjk_kI_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/EN6JlDjk_kI_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3272bed58dbf14bd77c08dbfe7a479b8bf1a5691
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/EN6JlDjk_kI_raw.srt
@@ -0,0 +1,2468 @@
+1
+00:00:22,560 --> 00:00:30,320
+نستكمل بالمثال 3 مثالين
+
+2
+00:00:30,320 --> 00:00:35,000
+السابقين اعطاني X as a function of T او V as a
+
+3
+00:00:35,000 --> 00:00:38,560
+function of T وطلب مني مطالب وقال لي اشتغل عليها
+
+4
+00:00:38,560 --> 00:00:43,600
+وكانت العملية تطبيق مباشر الان في المثال التالت
+
+5
+00:00:43,600 --> 00:00:46,920
+بيقولي the position time graph جاني graph دلوقتي
+
+6
+00:00:46,920 --> 00:00:50,660
+ما يديني معادلةof a particle moving along the x
+
+7
+00:00:50,660 --> 00:00:54,320
+-axis is given in the figure find the average
+
+8
+00:00:54,320 --> 00:00:57,740
+velocity for the interior value واحنا متفقين إذا
+
+9
+00:00:57,740 --> 00:01:02,040
+بده سرعة متوسط لازم يديني الفترة من إلى T initial
+
+10
+00:01:02,040 --> 00:01:07,640
+وT final and the average acceleration برضه بده
+
+11
+00:01:07,640 --> 00:01:12,260
+فترة بعدين إذا بده instantaneous بده زمان معين
+
+12
+00:01:12,260 --> 00:01:16,860
+فبقوللي الرسمة تبعتي أنا هي هكتالة خليني أنا
+
+13
+00:01:16,860 --> 00:01:22,200
+أرسمهاهذه الرسمة نريد أولا أن نفهم الرسمة لكي
+
+14
+00:01:22,200 --> 00:01:25,340
+نستطيع التعامل معها يقول في عنق هذه X as a
+
+15
+00:01:25,340 --> 00:01:31,400
+function of T بدأ من نقطة معينة، من نقطة الـorigin
+
+16
+00:01:31,400 --> 00:01:37,680
+عن تبت سوى صفر، ثم ماشي، لماذا ماشي؟ لأن X عملها
+
+17
+00:01:37,680 --> 00:01:43,240
+بالزي، يعني كأنه يبعد، لأن الجسم بدأ من هنالما
+
+18
+00:01:43,240 --> 00:01:47,860
+يكون ملزج بالحيطة X بعته كم؟ Zero بدأ يمشي، معناته
+
+19
+00:01:47,860 --> 00:01:50,400
+X عمّالها بتزيد مع الزمن، الزمن بيجفش، كلنا
+
+20
+00:01:50,400 --> 00:01:54,480
+بنعرفه، طول ما الزمن بيغير، بشوف أنا X إيش بيصير
+
+21
+00:01:54,480 --> 00:01:59,240
+فيها، طول ما X بتتغير، معناته الجسم بتتحرك، صحيح
+
+22
+00:01:59,240 --> 00:02:04,620
+ولا لأ؟ فأنا هين، خلال ثانية واحدة، كان عن سفر
+
+23
+00:02:04,620 --> 00:02:10,680
+وصلنا ست متر، هذه ست متر، تمام؟ بعد كده، رجعنا
+
+24
+00:02:12,440 --> 00:02:18,480
+عندما أدرس الفيجار، أقول إنه طلع من النقطة ومشيله
+
+25
+00:02:18,480 --> 00:02:22,620
+ستة متر، ثم فكر إنه نفس الشيء، ثم رجع تلاتة متر
+
+26
+00:02:22,620 --> 00:02:26,220
+لورا، فاهمت عليه كيف؟ وهي و هي كان ماشي، جاعت
+
+27
+00:02:26,220 --> 00:02:31,540
+ببعد، هي جاعت بجرب، بجرب لنفس النقطة، إذن ماشي ستة
+
+28
+00:02:31,540 --> 00:02:38,060
+متر، ثم رجع تلاتة متر، ثم تعب، جاعت ثانية واحدة و
+
+29
+00:02:38,060 --> 00:02:43,390
+جاعت بريح،فهمتوا عليها؟ إذا ها بيقول X is constant
+
+30
+00:02:43,390 --> 00:02:51,190
+يعني ساكن الجسم بعد كده كمل رجوعه كمل رجوعه مش وصل
+
+31
+00:02:51,190 --> 00:02:55,510
+لحيطها اللي كاد بدأ منها تمام؟ راح لوراه تمام؟
+
+32
+00:02:55,510 --> 00:03:03,510
+فوصل لعندها هيك هذا بيفسر حركة الجسم بدأ من السكون
+
+33
+00:03:03,510 --> 00:03:10,200
+وصل لست متر بعدينرجع لـ 3 متر، أريح شويه، بعدين
+
+34
+00:03:10,200 --> 00:03:15,980
+رجع لما أصل سالب 3 متر بالاتجاه المعاكس، إيش بده؟
+
+35
+00:03:15,980 --> 00:03:19,140
+بيقول find the average velocity for the interval
+
+36
+00:03:19,140 --> 00:03:22,340
+from T equal to 2 second to T equal to 5 second،
+
+37
+00:03:22,340 --> 00:03:27,870
+القانون ما اتغيرشالقانون بتقول V average بتساوي X
+
+38
+00:03:27,870 --> 00:03:33,270
+final نقص X initial على T final نقص T initial صحيح
+
+39
+00:03:33,270 --> 00:03:38,010
+ولا لأ هجد T final و T initial مقطع T final 5 و T
+
+40
+00:03:38,010 --> 00:03:43,460
+initial 2 اذا المقام 5-2 ثلاث ثانية معروفاللي
+
+41
+00:03:43,460 --> 00:03:48,060
+بدّيها هذا في المثال السابق الأول كان عندي معادلة
+
+42
+00:03:48,060 --> 00:03:52,620
+جيبت منها X final و X initial ان عوضت محل T final
+
+43
+00:03:52,620 --> 00:03:56,900
+وT initial لأن مافيش معادلة قال لي بتفهمي الرسمة
+
+44
+00:03:56,900 --> 00:04:01,320
+هجيجي بقول عندي T بالساوي خمسة second اللي هو
+
+45
+00:04:01,320 --> 00:04:06,840
+final بتقدروا تقولولي وين كان الجسم؟وين؟ مكملتش
+
+46
+00:04:06,840 --> 00:04:12,720
+لسه؟ هو لسه مكمل؟ آه خلاص، هذا هو، في الآخر غير
+
+47
+00:04:12,720 --> 00:04:17,160
+رأي و رجع لدقر و رجع ساكن، تمام، رجع الحيطة، تمام،
+
+48
+00:04:17,160 --> 00:04:21,280
+فبقيت .. بقيت بتطلع، عند خمسة سكنت، وين الجسم كان
+
+49
+00:04:21,280 --> 00:04:26,730
+ك X؟ بقرأ هنا، مش هيك بعمل؟جدّيش X final؟ Zero
+
+50
+00:04:26,730 --> 00:04:30,890
+صعبة؟ لأ، حتى لو مافيش معادلة من الرسم، Zero إذا
+
+51
+00:04:30,890 --> 00:04:35,230
+بقول على طول إن X final equal to zero طب X initial
+
+52
+00:04:35,230 --> 00:04:41,550
+عندي بيسوي two second جدّيش؟ ثلاث ثلاث خلاصأذا
+
+53
+00:04:41,550 --> 00:04:46,550
+نعمل ناتو بنقول as it is clear from the graph
+
+54
+00:04:46,550 --> 00:04:49,610
+بنقول من الرسم اللي أنا بجيب X initial equal to
+
+55
+00:04:49,610 --> 00:04:53,430
+three meters and X final equal to zero Now بقول
+
+56
+00:04:53,430 --> 00:04:56,090
+عوّد في القانون صار في عندي
+
+57
+00:05:01,450 --> 00:05:04,670
+the average x final minus x initial على t final
+
+58
+00:05:04,670 --> 00:05:10,310
+نقص t initial 0-3 5-2 فطلعت minus one meter per
+
+59
+00:05:10,310 --> 00:05:15,110
+second في النهاية ال minus بدل على انه مامشيش من
+
+60
+00:05:15,110 --> 00:05:18,430
+اتجاه الزيادة مش من اتجاه النقصات زي ما اتفقنا ال
+
+61
+00:05:18,430 --> 00:05:21,070
+velocity is a vector quantity و شرط السلب تعني
+
+62
+00:05:21,070 --> 00:05:26,110
+اتجاه المعاكس فطلعت minus one meter per secondهذا
+
+63
+00:05:26,110 --> 00:05:29,370
+المطلوب الأول، طب المطلوب التاني قال المطلوب
+
+64
+00:05:29,370 --> 00:05:33,910
+التاني علمونا أن الـ A average يساوي V final نقص V
+
+65
+00:05:33,910 --> 00:05:41,210
+initial على T final نقص T initial، مظبوط؟ هل الرسم
+
+66
+00:05:41,210 --> 00:05:47,600
+هادي بين V و T؟إذا بين X و T لو بين V و T زي ما
+
+67
+00:05:47,600 --> 00:05:52,360
+أعملت و بقول عند T كذا بعمل سهل و بطلق قيمة V لكن
+
+68
+00:05:52,360 --> 00:05:56,620
+المشكلة هنا بين X و T هلم الدنياها إذا أنا بدي
+
+69
+00:05:56,620 --> 00:06:02,960
+أستخدم كمان معلومة إن V هي إيجاد ميل المماس صح ولا
+
+70
+00:06:02,960 --> 00:06:07,300
+لا؟ إذا بدي عند نقطة ماجيبش بالظبط جديش V على طول
+
+71
+00:06:07,300 --> 00:06:13,450
+اللي بجيب المماس و أجيب الميل بطلع V يعنيأنتي
+
+72
+00:06:13,450 --> 00:06:19,610
+بتساوي نص و أنتي بتساوي نص جالي هيها بجيبك طلع
+
+73
+00:06:19,610 --> 00:06:24,310
+النص هنا بمشي هان و نفترج هان بيقول عندي النقطة
+
+74
+00:06:24,310 --> 00:06:29,690
+هذه بيجيبلي المماس و تجيب ميله هذه الصراحة بيجيب
+
+75
+00:06:29,690 --> 00:06:33,850
+ميلي المماس عند هذه النقطة طبعا لما يكون في كيرف
+
+76
+00:06:33,850 --> 00:06:38,070
+يا بنات بيقول بيجيب مماس صحيح؟ لكن الخط المستقيم
+
+77
+00:06:38,070 --> 00:06:44,820
+مماس أقدر نجيبههو نفسه .. هو نفسه .. مظبط ولا لا؟
+
+78
+00:06:44,820 --> 00:06:51,400
+تمام .. هالجيش .. هل هذا الخط مماس للنقطة؟ صحيح
+
+79
+00:06:51,400 --> 00:06:56,460
+ولا لا؟ هو المماس طيب في حد بعرف يجيب ال mail؟ هل
+
+80
+00:06:56,460 --> 00:07:01,260
+ال mail بالساوية 6 على 1 ولا لا؟ 6 على 1
+
+81
+00:07:07,340 --> 00:07:09,600
+مش هي هي .. كنتوا تجيبوا المماس .. انتوا لما
+
+82
+00:07:09,600 --> 00:07:12,920
+تقولوا هاي خط .. تقولوا هاي المماس .. ممكن تكون هي
+
+83
+00:07:12,920 --> 00:07:17,100
+.. هي هي .. ما هي هذه الزاوية و هذه الزاوية واحدة
+
+84
+00:07:17,100 --> 00:07:22,020
+.. بالتنادر .. صحيح؟ فإما بنقول تلاتة على نص أو
+
+85
+00:07:22,020 --> 00:07:25,640
+ستة على واحدة .. لأن هي مقابلة عمجاوية .. مظبوط؟
+
+86
+00:07:25,640 --> 00:07:31,140
+هي ضل زاوية .. مدوجة .. فيه كتير ناس مبلعة .. اللي
+
+87
+00:07:31,140 --> 00:07:36,640
+بالعي يسأل .. سوف أحكي عبارة عن هذا؟نفس اللغة ما
+
+88
+00:07:36,640 --> 00:07:41,780
+تغيرتش هل جيت بتعرفوا أن الصراعة هي إيجاه .. هي
+
+89
+00:07:41,780 --> 00:07:45,600
+تفاضل ال X بالنسبالتي؟ هذي معروفة؟ معروفة إيش
+
+90
+00:07:45,600 --> 00:07:48,860
+معنات مستقى؟ يعني إيجاد ميل المماس إذا المعناته
+
+91
+00:07:48,860 --> 00:07:52,260
+لازم أجيب .. إيجاد ميل المماس، طيب حافظينها يعني
+
+92
+00:07:52,260 --> 00:07:55,760
+عشان نجيب ميل المماس، بندي المماس أول فأجيبكي
+
+93
+00:07:55,760 --> 00:07:59,560
+المماس و بعدين بندي اجيبي ميله فوين النقرة؟ هو
+
+94
+00:07:59,560 --> 00:08:03,760
+مماس مش بنقول عند نقطة معينة بمس؟أول ما بده يجيب
+
+95
+00:08:03,760 --> 00:08:08,080
+النقطة هو جالي نص طلعت ع الكيرك وقلت هاي النقطة
+
+96
+00:08:08,080 --> 00:08:14,000
+بدي مماسها وقلت نفس الخط تمام؟ الخط المستقيم أول
+
+97
+00:08:14,000 --> 00:08:17,880
+ما تقطعيه هو نفس المماس بدي أجيب ميلو .. ميلو سهل
+
+98
+00:08:17,880 --> 00:08:23,800
+يعني بدك ظل الزاوية هادي ولا لا؟ مش هيكمل المماس؟
+
+99
+00:08:23,800 --> 00:08:29,500
+ten of the angle إيش هذه الظلها؟ مقابل ومجاوض ..
+
+100
+00:08:29,500 --> 00:08:37,820
+هذا ستة وهذا واحدوخلصنا هذي V-initial since V at
+
+101
+00:08:37,820 --> 00:08:42,320
+any point هبقول غير ده شغل بقول انت علمتني ان V is
+
+102
+00:08:42,320 --> 00:08:46,920
+the slope of the X-T graph هو الميل تمام at that
+
+103
+00:08:46,920 --> 00:08:53,410
+point we have at T equal 0.5 V equal 6 ع واحدستة
+
+104
+00:08:53,410 --> 00:08:58,230
+على واحد فطلعت ستة and ال two بيقولوا نص .. نص ..
+
+105
+00:08:58,230 --> 00:09:01,290
+نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص
+
+106
+00:09:01,290 --> 00:09:01,910
+.. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص ..
+
+107
+00:09:01,910 --> 00:09:02,890
+نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص
+
+108
+00:09:02,890 --> 00:09:07,250
+.. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص ..
+
+109
+00:09:07,250 --> 00:09:09,210
+نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص
+
+110
+00:09:09,210 --> 00:09:09,210
+.. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص ..
+
+111
+00:09:09,210 --> 00:09:09,210
+نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص .. نص
+
+112
+00:09:09,210 --> 00:09:13,900
+.. نص .. نص .. نص .. نص .. نص .. نص .. نإيش كان
+
+113
+00:09:13,900 --> 00:09:20,500
+يسوي؟ جاعت و اللي جاعت كده صرعته؟ Zero منطق أصلا
+
+114
+00:09:20,500 --> 00:09:25,780
+احنا فصلنا إن هنا X is constant X is constant و V
+
+115
+00:09:25,780 --> 00:09:30,740
+is the derivative of X يعني مشتقة X و مشتقة الثابت
+
+116
+00:09:30,740 --> 00:09:38,260
+كده إيش؟ Zeroفكله إذا معناته عند 2.5 عند هذهك
+
+117
+00:09:38,260 --> 00:09:44,920
+اللحظة كان الجسم ساكن سرعته Zero وبالتالي V بتساوي
+
+118
+00:09:44,920 --> 00:09:51,820
+Zero خلاص ما في السؤالVfinal 0 Vinitial 6 و Tfinal
+
+119
+00:09:51,820 --> 00:09:55,680
+و Tinitial أصلا معروفين 2.5.5 فبيقول في هذه الحالة
+
+120
+00:09:55,680 --> 00:10:00,160
+هذا هو الخط اللي احنا بيعملوه بالشكلها فصارت 0-6
+
+121
+00:10:00,160 --> 00:10:04,400
+على 2.5-5 فطلعت minus 3 meters per second squared
+
+122
+00:10:04,400 --> 00:10:11,160
+اللي هي وحدة ال acceleration ليه؟ عندها سؤال إيش؟
+
+123
+00:10:11,160 --> 00:10:11,480
+أعيد
+
+124
+00:10:19,940 --> 00:10:25,500
+عشان يجيب السرعة ماهي ايش .. ايوة .. حلو .. احكي
+
+125
+00:10:25,500 --> 00:10:29,040
+.. احكي اللي دي دوة ماهي على نفس القانون ان هو
+
+126
+00:10:29,040 --> 00:10:33,500
+قانون يعني اقولك يعني انه عن تيما افترض واحد و نص
+
+127
+00:10:33,500 --> 00:10:35,880
+.. قولي هاي هتلاعب .. طب خلاص .. طب هاي ايش فيها
+
+128
+00:10:35,880 --> 00:10:43,640
+.. X مش X .. انت ايش بديك؟إذا بتديك X؟ لأ عشان ..
+
+129
+00:10:43,640 --> 00:10:47,580
+بديت .. بقولك هذه الرسمة ماهياش V مع T لو الرسمة V
+
+130
+00:10:47,580 --> 00:10:52,000
+مع T كلامك صحيح لكن هنا أعطاك X فروحت السبب من شغل
+
+131
+00:10:52,000 --> 00:10:57,540
+تانية أن X و T من المماس هو اللي بتدي السرعة تمام؟
+
+132
+00:10:57,540 --> 00:11:04,860
+غيرها؟ تخجلوش؟ أنا متأكد أكتر من واحدة برضه بقى ..
+
+133
+00:11:04,860 --> 00:11:09,720
+بقول أيش بيسوي هذا؟ ماقولتوش هيك؟
+
+134
+00:11:12,480 --> 00:11:17,220
+فهذا مثال بس غيّرنا بدل ما هي ال equation أسهل ال
+
+135
+00:11:17,220 --> 00:11:20,440
+equation هي ال calculator تطلها و تجيب الرسمة هنا
+
+136
+00:11:20,440 --> 00:11:24,100
+لأ بكرا تفهموا إيش معنات الرسمة و إيش معنات السرعة
+
+137
+00:11:24,100 --> 00:11:31,900
+كيف تجيبها من ال XT تمام؟ الآن بدنا نشتقل احنا
+
+138
+00:11:31,900 --> 00:11:37,090
+وياكم تلت معادلات مشهورة ومعروفةمعادلة الحركة في
+
+139
+00:11:37,090 --> 00:11:42,110
+خط one dimension أو في خط مستقيم Linear motion
+
+140
+00:11:42,110 --> 00:11:45,950
+with constant acceleration constant acceleration
+
+141
+00:11:45,950 --> 00:11:51,950
+شرطها ان ال acceleration is constant تمام؟ نشتقهم
+
+142
+00:11:51,950 --> 00:11:52,630
+مع بعض
+
+143
+00:11:55,360 --> 00:11:58,360
+The simplest type of linear motion is the uniform
+
+144
+00:11:58,360 --> 00:12:04,560
+motion هي أبسط أنواع الحركة يعني هي توجهنا حركات
+
+145
+00:12:04,560 --> 00:12:08,000
+كتيرة بيقول إحنا ده ده ده ده بنمشي مع بعض أبسط
+
+146
+00:12:08,000 --> 00:12:11,780
+أنواع الحركة هي الحركة اللي بيسميها uniform motion
+
+147
+00:12:11,780 --> 00:12:15,560
+with constant acceleration in which the
+
+148
+00:12:15,560 --> 00:12:20,300
+acceleration is constant بيقول في هذه الحالة ايه
+
+149
+00:12:20,300 --> 00:12:26,290
+average؟و ايه؟ واحدة. ليش؟ بيقول الـ Hub إنك عندك
+
+150
+00:12:26,290 --> 00:12:30,690
+خمس أرقام أربعة، أربعة، أربعة، أربعة، أربعة،
+
+151
+00:12:30,690 --> 00:12:33,650
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+152
+00:12:33,650 --> 00:12:34,870
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+153
+00:12:34,870 --> 00:12:35,290
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+154
+00:12:35,290 --> 00:12:35,290
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+155
+00:12:35,290 --> 00:12:35,630
+أربعة، أربعة، أربعة، أربعة، أربعة، أربعة، أربعة،
+
+156
+00:12:35,630 --> 00:12:41,150
+أربعة، أربعة، أربعة،
+
+157
+00:12:41,150 --> 00:12:47,610
+أربعة، أربعة، أربعة، أربعة، أربعة،
+
+158
+00:12:47,610 --> 00:12:52,510
+أربعةمصبوح لأ؟ إذا لما تكون الشغل ثابتة بيبطل معنى
+
+159
+00:12:52,510 --> 00:12:57,590
+لل average ال acceleration أو زي ما ذك مثال كانت
+
+160
+00:12:57,590 --> 00:13:02,350
+التسارع ثابت كنا بنعود في زمن ماعرفناش أنعود طلعت
+
+161
+00:13:02,350 --> 00:13:05,370
+نفطار الخمسة متر بيرسا كانت تربية ثابتة واحد يقول
+
+162
+00:13:05,370 --> 00:13:07,370
+جديش ال average بقول خمسة متر بيرسا كانت تربية
+
+163
+00:13:07,370 --> 00:13:09,950
+جديش ال instantaneous خمسة متر بيرسا كانت تربية
+
+164
+00:13:09,950 --> 00:13:13,670
+لأنه ثابت عند كل اللحظات إذا بيقول لما تكون
+
+165
+00:13:13,670 --> 00:13:17,480
+التسارع ثابتبقول الـ A average والـ A
+
+166
+00:13:17,480 --> 00:13:21,380
+instantaneous بسوء بعض جالي طباش و عايش بتدور بقول
+
+167
+00:13:21,380 --> 00:13:24,200
+لو بدى قرون ال average إيش بقول؟ بقول القرون ال
+
+168
+00:13:24,200 --> 00:13:29,480
+average V final minus V initial على V final نقص V
+
+169
+00:13:29,480 --> 00:13:33,620
+initial صح ولا لأ؟ هذا ال average هو هذا فهذا حطته
+
+170
+00:13:33,620 --> 00:13:38,020
+هنا و بدل هذا عضمه بتعمل جالي حكاية ال final هذه و
+
+171
+00:13:38,020 --> 00:13:42,080
+ال initial بتغيرها شوية السرعة الابتدادية V
+
+172
+00:13:42,080 --> 00:13:47,600
+initial غالبا بتكون عن T بتسوى 0صح؟ لأننا دائما
+
+173
+00:13:47,600 --> 00:13:51,440
+الزمن بنبدأ من وين؟ من Zero جال عشان كده بدل ما
+
+174
+00:13:51,440 --> 00:13:55,280
+تقولي V initial حط V صفر صفر يعني أنت بتسوى صفر
+
+175
+00:13:55,280 --> 00:14:01,200
+سرعة الأبتدائية فبنغير شوية رموز بدل V initial إيش
+
+176
+00:14:01,200 --> 00:14:06,920
+بتحط؟ V9 ساقتها ال final حطها V وخلاص قدرت أميز
+
+177
+00:14:06,920 --> 00:14:11,180
+بينهمبيقول لي هي الـ we denote V initial by V
+
+178
+00:14:11,180 --> 00:14:15,200
+naught إذا أنا رمزت لـ V initial بإيش؟ V naught و
+
+179
+00:14:15,200 --> 00:14:21,800
+V final؟ V V final و T initial اعتبرتها؟ Zero لأن
+
+180
+00:14:21,800 --> 00:14:25,240
+احنا دائما نبدأ ساعة إيقاف من الـ Zero بنعدد إذا
+
+181
+00:14:25,240 --> 00:14:29,160
+تغير رموز مافيش شيء يجيب نفس القوانين تبعتنا بيقول
+
+182
+00:14:29,160 --> 00:14:38,210
+لي حلو بنعرف نضرب طراب تبادل يصير V-V0 بيساوي ايه؟
+
+183
+00:14:38,210 --> 00:14:46,950
+هذي لو أجيت جلاب تهينا، إيش بيصير؟ بالمجابع عين
+
+184
+00:14:46,950 --> 00:14:51,450
+بيساوي عين سفر زائد ثالثة، صحيح ولا لأ؟ إذا هي أول
+
+185
+00:14:51,450 --> 00:14:59,260
+قانوة سهل نعملها V equal V0 plus A في Tهذه أول
+
+186
+00:14:59,260 --> 00:15:04,200
+معادلة تحكم الحركة بخرق .. اه خدتوها .. ماهي
+
+187
+00:15:04,200 --> 00:15:08,200
+معادلات الحركة؟ نفس ال .. ما احنا قلنا .. نفس
+
+188
+00:15:08,200 --> 00:15:12,200
+الشيء .. في .. في .. في أولى ثانوية .. في قبلها ..
+
+189
+00:15:12,200 --> 00:15:15,880
+يمكن أخدتوها عملية سهلة بس احنا عملنا بنغيدها ..
+
+190
+00:15:15,880 --> 00:15:21,480
+بنثبتها V بس اتغيرت بجل عين صارت V و بجل عين سفر
+
+191
+00:15:21,480 --> 00:15:27,890
+صارت V naughtPlus A T والـ A بدل الـ T والـ T بدل
+
+192
+00:15:27,890 --> 00:15:32,370
+الـ F مافيش اشي تغير واللي فاهم هناك هو نفس
+
+193
+00:15:32,370 --> 00:15:36,270
+المعلومات بس من أني ثبتها و راجعتها صح .. مش أكتر
+
+194
+00:15:36,270 --> 00:15:42,370
+تمام؟ قالوا also because E is constant we can
+
+195
+00:15:42,370 --> 00:15:49,590
+write the average .. قبل ما أجيب هذهتنين، أربعة،
+
+196
+00:15:49,590 --> 00:15:55,930
+ستة، تمانية، عشرة، تنين،
+
+197
+00:15:55,930 --> 00:15:59,190
+أربعة، ستة، تمانية، عشرة، تنين، أربعة، ستة،
+
+198
+00:15:59,190 --> 00:15:59,190
+تمانية، عشرة، تنين، أربعة، ستة، تمانية، عشرة،
+
+199
+00:15:59,190 --> 00:15:59,490
+تنين، أربعة، تنين، أربعة، تنين، أربعة، تنين،
+
+200
+00:15:59,490 --> 00:15:59,490
+أربعة، تنين، أربعة، تنين، أربعة، تنين، أربعة،
+
+201
+00:15:59,490 --> 00:16:01,690
+تنين، أربعة، تنين، أربعة، تنين، أربعة، تنين،
+
+202
+00:16:01,690 --> 00:16:05,110
+أربعة، تنين، أربعة، تنين، أربعة، تنين، أربعة،
+
+203
+00:16:05,110 --> 00:16:07,790
+تنين، أربعة، تنين، أربعة، تنين، أربعة، تنين،
+
+204
+00:16:07,790 --> 00:16:16,650
+أربعة،و 4 ع 6 و 10 30 ع جديش جديش ال average 6 هذا
+
+205
+00:16:16,650 --> 00:16:21,850
+التقليدي جار طير فيه أسهل هدول لو كانوا ميت رقم ده
+
+206
+00:16:21,850 --> 00:16:25,750
+يجمعهم كلهم يتجسم ع 100 صح؟ إذا الزيادة زي ما هي
+
+207
+00:16:25,750 --> 00:16:32,370
+يجمع للأول والأخير و يتجسم ع 2 صدر 6
+
+208
+00:16:35,220 --> 00:16:38,740
+بشرط أن تكون الزيادة صحيحة الزيادة صحيحة ما هو ال
+
+209
+00:16:38,740 --> 00:16:41,380
+acceleration الشيء هي زيادة في ال velocity إذا ال
+
+210
+00:16:41,380 --> 00:16:45,020
+acceleration ثابتة هنا لو هاجي velocities ماجدش ال
+
+211
+00:16:45,020 --> 00:16:49,900
+acceleration two صح؟ إذا ال acceleration ثابتة بدل
+
+212
+00:16:49,900 --> 00:16:52,240
+ما تجبحهم كلهم مرات ممكن يكونوا مليون و لا اتنين
+
+213
+00:16:52,240 --> 00:16:56,100
+مليون خد أول واحد و آخر واحد و بس مع اتنينو هي
+
+214
+00:16:56,100 --> 00:17:00,080
+ثبتت هنا و كله و جربوا كيف ما بدكم بشرط a is
+
+215
+00:17:00,080 --> 00:17:03,140
+constant الزيادة تكون زي هيك يعني ماينفعش أحط هنا
+
+216
+00:17:03,140 --> 00:17:09,320
+14 و لا 16 لأ لازم 12 و لا 14 و هكذا قال لي إذا
+
+217
+00:17:09,320 --> 00:17:13,700
+كانت a is constant الزيادة ثابتة بيكون ال V
+
+218
+00:17:13,700 --> 00:17:15,740
+average بتجيب الأول و بتجيب الأخر و بتجسم على
+
+219
+00:17:15,740 --> 00:17:21,320
+اتنين الأول تدائي و الأخر نهائي على اتنين قال لي
+
+220
+00:17:21,320 --> 00:17:25,810
+طيب بيشوف إيش بتجيب من ورا هالشغل فيه استفسار؟تمام
+
+221
+00:17:25,810 --> 00:17:30,690
+جالي V average مش اتفقنا بيسوي X final نقص X
+
+222
+00:17:30,690 --> 00:17:34,390
+initial على T final نقص C initial هجت T initial و
+
+223
+00:17:34,390 --> 00:17:41,070
+روحت مش اتفقنا إيش سرقة ال initial روحت و T final
+
+224
+00:17:41,070 --> 00:17:46,250
+صارت T هجت هذه X final صارت X وهذه X initial صارت
+
+225
+00:17:46,250 --> 00:17:53,300
+X naught تمامهذه نفسها متساوية V plus V0 على 2
+
+226
+00:17:53,300 --> 00:17:59,460
+تمام؟ حلو، طيب هذه الـV لا نستطيع أن نشحقها من
+
+227
+00:17:59,460 --> 00:18:10,640
+هنا، صحيح؟ أووضنا عنها إذن
+
+228
+00:18:10,640 --> 00:18:17,960
+شغلها سهل، مجرد تعويض جالي الآن هذه المعادلة وهذه
+
+229
+00:18:17,960 --> 00:18:26,360
+المعادلةدربهم ضرب تبادل بنعرف بيصير اتنين في هذه
+
+230
+00:18:26,360 --> 00:18:30,700
+بيساوي هذي في هذي طبعا هذي V0 و V0 ايه كان V0 و
+
+231
+00:18:30,700 --> 00:18:35,760
+V0؟ اتنين V0 ع اتنين روحت اتنين بيصير V0 فلما نيجي
+
+232
+00:18:35,760 --> 00:18:39,940
+نضربهم بتطلع معايا هذي هم اللي عرفنا ان هذي جت من
+
+233
+00:18:39,940 --> 00:18:49,560
+هنا تمام عوضناهافبتصير x-x0 هنا اتنين بيساوي v0 في
+
+234
+00:18:49,560 --> 00:18:55,440
+T درابة ادي في T في اتنين هذه أصلها صارت اتنين v0
+
+235
+00:18:55,440 --> 00:19:01,460
+زائد a في T تمام؟ جسم على اتنين هذه روحت وهذه صارت
+
+236
+00:19:01,460 --> 00:19:05,360
+نص هنا
+
+237
+00:19:05,360 --> 00:19:08,860
+T صارت .. و اضربها في T صارت هذه T وهذه T تربيع
+
+238
+00:19:08,860 --> 00:19:17,390
+فصارت x-x0بتسوى V0 في T plus half AT تربيع X أو فا
+
+239
+00:19:17,390 --> 00:19:29,110
+بيسوى عن سفر في فا بظبط في Z زائد نص ت فتربيع زي
+
+240
+00:19:29,110 --> 00:19:31,370
+التربيع
+
+241
+00:19:35,000 --> 00:19:40,700
+هذا القانون التاني إذا كان لدي قانونين أو معادلتين
+
+242
+00:19:40,700 --> 00:19:47,420
+بيحكموا الحركة الخطية بتسارع ثابت كمان مرة لو
+
+243
+00:19:47,420 --> 00:19:51,360
+التسارع ثابت .. هل هذه معادلة صح؟لو اول ما اشتغلت
+
+244
+00:19:51,360 --> 00:19:55,900
+ايه؟ اذا A كانت مستمر، او اذا لم يكن مستمر، فهذه
+
+245
+00:19:55,900 --> 00:20:00,820
+مباطلة معادلة صحيحة اللي بنيت عليها، وهنا، لو كانت
+
+246
+00:20:00,820 --> 00:20:04,000
+A مش مستمر، ماقدرش اقول V average بساوي الأول
+
+247
+00:20:04,000 --> 00:20:08,180
+والأخر وجسم على اتنين، اذا شرط المعادلتين هدول ان
+
+248
+00:20:08,180 --> 00:20:11,910
+ال acceleration تكون مستمرلو مش constants مفهوش
+
+249
+00:20:11,910 --> 00:20:14,970
+تساقضيهم قال لي هذه معادلة ايه؟ قال لي ده ال
+
+250
+00:20:14,970 --> 00:20:20,870
+تالتة، ذاكرها التالتة بالعرب الدنيا عين
+
+251
+00:20:20,870 --> 00:20:26,690
+تربيع بالسبعين سفر تربيع زادي اتنين جيم تافة حلو
+
+252
+00:20:26,690 --> 00:20:30,130
+هدول من وين جابوهم؟ قال لي سيدي لا بدهاش أقول ولا
+
+253
+00:20:30,130 --> 00:20:36,680
+حاجة هداك المعادلة شيشيها زمان؟أكتبها عين تربيع
+
+254
+00:20:36,680 --> 00:20:40,000
+يعني V تربيع، صح؟ بيساوي عين سفر تربيع يعني هيك
+
+255
+00:20:40,000 --> 00:20:45,780
+Plus اتنين A في X، فيها زمان؟ لأ، لكن هدول التنتين
+
+256
+00:20:45,780 --> 00:20:49,180
+فيهم زمان، صح؟ جيب الزمان من هان وعوضه هان، تطلع
+
+257
+00:20:49,180 --> 00:20:53,660
+معاك المعادلة جيب الزمان من هان وعوضه هان، روح
+
+258
+00:20:53,660 --> 00:20:58,200
+الزمان، صحيح ولا لأ؟ قدش الزمان من هان يا بنات؟ V
+
+259
+00:20:58,200 --> 00:21:06,350
+بتساوي V minus V لك على Aصحيح؟ هناك بنعوض نجي هنا
+
+260
+00:21:06,350 --> 00:21:10,090
+يلا نعوض نبحي عشان نعوض نكتبها كتابة بتحبوا
+
+261
+00:21:10,090 --> 00:21:17,030
+الكتابة انتوا نجرب راجع الجابر احنا وياكم تمام X
+
+262
+00:21:17,030 --> 00:21:29,070
+-X0 بساوي V0 بدل ال T شحط V-V0 على A plus half A V
+
+263
+00:21:29,070 --> 00:21:37,040
+-V0 على A تربيةمش هيك صحيح؟ يلّا نشمر جبرا هلقيت
+
+264
+00:21:37,040 --> 00:21:43,700
+مش فيزيا بتساوي V0 ب V0 V0 VV مظبوط؟ على إيه؟
+
+265
+00:21:43,700 --> 00:21:52,100
+minus V0 تربيع على إيه؟ أول واحدة أكمل؟ تمام plus
+
+266
+00:21:52,100 --> 00:21:59,780
+إيه حكيت؟ إيش ليش؟ الواحدة قالتش ليش شغل معين بلاش
+
+267
+00:21:59,780 --> 00:22:09,910
+تمام نصA ربعه V تربيع زائد V نوت تربيع minus اتنين
+
+268
+00:22:09,910 --> 00:22:18,310
+V V نوت على A تربيع صحيك ابتعفوا المربع كامل مربع
+
+269
+00:22:18,310 --> 00:22:22,450
+الأول زاد مربع التاني زاد او ناقص اتنين في الأول
+
+270
+00:22:22,450 --> 00:22:25,910
+في التاني تمام برضه هذي جابير اتدائي و لا اعدادي
+
+271
+00:22:25,910 --> 00:22:34,470
+زمان اعدادييلا بيستوى V0 في V على A minus V0 تربيع
+
+272
+00:22:34,470 --> 00:22:39,710
+على A بدي ادخل هذه هذي بتروح مع هذه بالصير زائد نص
+
+273
+00:22:39,710 --> 00:22:47,110
+V تربيع زائد نص V0 تربيع ناقص V في V0 التانية روحت
+
+274
+00:22:47,110 --> 00:22:54,230
+مع النص مظبوط؟ صحين؟ صحين على A على A يا عين أنت
+
+275
+00:22:54,230 --> 00:23:01,800
+شطرين أشتر من هنامرهض عليك أحسن إيه قبل يضطر؟
+
+276
+00:23:01,800 --> 00:23:08,240
+طلعولي على هدى وع هدى والله سهل عليها في مشكلة؟
+
+277
+00:23:08,240 --> 00:23:16,080
+طيب هدى و هدى هدى في إيه و هدى في إيه؟ هدى و هدى
+
+278
+00:23:16,080 --> 00:23:22,800
+هدى ناقص واحد و هدى زائد نص سالب نص واحد ناقص نص
+
+279
+00:23:22,800 --> 00:23:31,050
+زائد نص- نص إذا مستوي V
+
+280
+00:23:31,050 --> 00:23:39,350
+نوت تربيع على 2A زائد V تربيع على 2A مستوي X minus
+
+281
+00:23:39,350 --> 00:23:46,190
+X نوت خلصنا
+
+282
+00:23:46,190 --> 00:23:53,480
+هيكصحيح؟ بدي اضرب في ايش؟ بدي اضرب في 2A فصارت V
+
+283
+00:23:53,480 --> 00:23:59,580
+تربيع ناقص V نوت تربيع بيسوي X ناقص X نوت في 2 في
+
+284
+00:23:59,580 --> 00:24:04,660
+A إذا صارت V تربيع بيجيب هذه وحطها هناك V نوت
+
+285
+00:24:04,660 --> 00:24:12,540
+تربيع plus 2A X minus X naught وهذه هي ف .. هاي
+
+286
+00:24:12,540 --> 00:24:17,440
+طلعت المعادلةسهلة جبر طبعا الحمد لله مش هتقولكم
+
+287
+00:24:17,440 --> 00:24:23,620
+اشتقوا انا ولا واحد يعمل التلاتة الحمد لله تمام
+
+288
+00:24:23,620 --> 00:24:27,980
+لأنه ليش؟ ماخدتوها في خمس .. سابع
+
+289
+00:24:29,810 --> 00:24:34,290
+هذه لأ .. هذه للصغار بنجيبها انتوا كبرتوا ما شاء
+
+290
+00:24:34,290 --> 00:24:37,650
+الله عليكم و جيبكم تشتقوا هذه و مع المبسطة في
+
+291
+00:24:37,650 --> 00:24:40,410
+السابع و اين راحوا؟ مش هيتعبوكم خلصنا و أخدتوا
+
+292
+00:24:40,410 --> 00:24:44,910
+الجبر؟ خلصنا بس احنا بنستفيد من اللي أخدتوه هناك
+
+293
+00:24:44,910 --> 00:24:49,530
+يعني بس بنحس .. أو بنحسسكم أن اللي أخدتوه في
+
+294
+00:24:49,530 --> 00:24:52,410
+السابع و في التامن مفيد هي استخدمناها في الجامعة
+
+295
+00:24:59,170 --> 00:25:07,150
+أذا كتبت أنا بعد ما جيت اعوضه بقول الان now as v
+
+296
+00:25:07,150 --> 00:25:10,410
+بيساوي v not plus a t جيب ال T زي ما قلت لو معاكم
+
+297
+00:25:10,410 --> 00:25:13,410
+بعيدة من جد بقالكم هكذا انا كتبت بقوله هذا بعيد
+
+298
+00:25:13,410 --> 00:25:18,110
+اعادة هذي bonus يعني تمام جيب ال T قال لي اذا اروح
+
+299
+00:25:18,110 --> 00:25:23,930
+اعوض v not توي عملته بالظبط عملناهم مع بعض فقال لي
+
+300
+00:25:23,930 --> 00:25:28,580
+هادي روحت مع هاديوصارت القضية هيك وبالتالي هاي طلع
+
+301
+00:25:28,580 --> 00:25:33,760
+القانون التالت إذا صار عندي تلت معادلات تحكم
+
+302
+00:25:33,760 --> 00:25:40,880
+الحركة الخطية بسرعة .. باتسارع ثابت هذه الأصل تمام
+
+303
+00:25:40,880 --> 00:25:46,590
+بقول كده بجعل المسائل الآنانت تتني تلت معادلة، بده
+
+304
+00:25:46,590 --> 00:25:50,490
+حل فيها مسائل، strategy for solving problems with
+
+305
+00:25:50,490 --> 00:25:52,830
+constant acceleration سؤال في constant
+
+306
+00:25:52,830 --> 00:25:56,290
+acceleration، بده حله، بيقول فيه استراتيجية انت
+
+307
+00:25:56,290 --> 00:26:00,650
+اعتمدها، بيسهل عليك طريقة الحل كتير، ايش هي هذه
+
+308
+00:26:00,650 --> 00:26:04,260
+الاستراتيجية؟بقول choose your coordinates such
+
+309
+00:26:04,260 --> 00:26:08,440
+that the particle begins its motion from the
+
+310
+00:26:08,440 --> 00:26:13,060
+origin دايما احاول تخلي X0 سوى 0 ممكنك يعني ابدأ
+
+311
+00:26:13,060 --> 00:26:15,700
+من هناك هي ال origin تبعي جالك الجسم بدأ من النقطة
+
+312
+00:26:15,700 --> 00:26:20,600
+الفلوانية بقول هي ال origin تبعي بصير عندك T0 0 و
+
+313
+00:26:20,600 --> 00:26:28,010
+X0 0طيب انا اسألك طيب انا انا
+
+314
+00:26:28,010 --> 00:26:32,810
+انا انا انا انا
+
+315
+00:26:32,810 --> 00:26:50,310
+انا
+
+316
+00:26:50,310 --> 00:26:55,810
+اناو كل جسم بدل حركة من هنا إلى هنا و راح بهذه
+
+317
+00:26:55,810 --> 00:26:59,770
+الشكلة يخلّي كل الموجب هكذا و خلاص بدل ما تكون كله
+
+318
+00:26:59,770 --> 00:27:04,750
+سالب سالب سالب كله خلّيه موجب يعني نرجع لشيء تاني
+
+319
+00:27:04,750 --> 00:27:10,560
+مش الصاضي هكذا دايمافي الحركة .. سقوط الحر ..
+
+320
+00:27:10,560 --> 00:27:15,800
+ذاكرينه؟ في سقوط الحر، الجسم بسقط، إلى أسفل، إلى
+
+321
+00:27:15,800 --> 00:27:18,500
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+322
+00:27:18,500 --> 00:27:18,500
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+323
+00:27:18,500 --> 00:27:18,720
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+324
+00:27:18,720 --> 00:27:21,320
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+325
+00:27:21,320 --> 00:27:23,540
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+326
+00:27:23,540 --> 00:27:28,660
+أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى أسفل، إلى
+
+327
+00:27:28,660 --> 00:27:31,580
+أسفل،
+
+328
+00:27:32,360 --> 00:27:35,220
+Decide the sense of the positive direction و اين
+
+329
+00:27:35,220 --> 00:27:37,340
+ال positive تبعت و اختارته و انت ممكن تختاره
+
+330
+00:27:39,890 --> 00:27:42,970
+Make a list of the known quantities. بتجيب انت
+
+331
+00:27:42,970 --> 00:27:45,970
+المعطيات الـknown quantities كمية المعطية اللي انت
+
+332
+00:27:45,970 --> 00:27:50,050
+عارفها المعطية بالسؤال بيقول لي make a list of the
+
+333
+00:27:50,050 --> 00:27:52,890
+known quantities اعملهم list سرعة تدعية معطكية
+
+334
+00:27:52,890 --> 00:27:56,330
+هقول هي سرعة تدعية إزاحة معطكية هقول هذا معطة زمن
+
+335
+00:27:56,330 --> 00:28:00,910
+معطكية هذا معطة كل هذا بتعمله list تمام؟ Don't
+
+336
+00:28:00,910 --> 00:28:05,050
+forget to write any vector quantity زي إزاحة سرعة
+
+337
+00:28:05,050 --> 00:28:11,600
+تصور صح؟هذه كمية الـ vectors تمام لماذي تكتبها؟
+
+338
+00:28:11,600 --> 00:28:14,740
+جالك السرعة خمسة طب أقولها خمسة موجب ولا سالب؟ حسب
+
+339
+00:28:14,740 --> 00:28:18,380
+ال direction اختارته هب انك انت قولت انا اتجاهي
+
+340
+00:28:18,380 --> 00:28:23,840
+الأسفل هو الموجب نيح؟ و جالك الجسم قضفته إلى أعلى
+
+341
+00:28:23,840 --> 00:28:28,360
+بسرعة مقدرها كذا بقول هذا سالب؟تمام؟ إذا لما حطت
+
+342
+00:28:28,360 --> 00:28:32,200
+المعطى بقول V0 بسوى سالب خمسة، بقولش خمسة عشان ما
+
+343
+00:28:32,200 --> 00:28:35,400
+اتخربطش في المعول، من أول أنا قولت كل حاجة اللي
+
+344
+00:28:35,400 --> 00:28:38,660
+أسفل بدي اعتبرها موجة بقى وجالي قضف الجسم إلى أعلى
+
+345
+00:28:38,660 --> 00:28:42,220
+بسرعة مقدارها خمسة متر per second على طول بقول ما
+
+346
+00:28:42,220 --> 00:28:45,360
+زال لأ أعلى بقول V0 بسوى سالب خمسة متر per second
+
+347
+00:28:45,960 --> 00:28:48,940
+إذا حطيت الـSolible ولا لأ؟ حسب الـdirection اللي
+
+348
+00:28:48,940 --> 00:28:52,500
+أعطاني إياه إذا don't forget to write any vector
+
+349
+00:28:52,500 --> 00:28:57,380
+quantity و هم الـX أو الـV أو الـV0 أو الـA هاي ال
+
+350
+00:28:57,380 --> 00:29:01,580
+vector quantities تبقى للزمن صح؟ و الزمن scale up
+
+351
+00:29:01,580 --> 00:29:04,960
+تشي that have a direction opposite to your
+
+352
+00:29:04,960 --> 00:29:09,220
+positive sense عكس اللي انت حطيته إلى as a
+
+353
+00:29:09,220 --> 00:29:11,900
+negative quantity وهنا أدينا مثال
+
+354
+00:29:15,470 --> 00:29:18,150
+Make sure that all the quantities have the same
+
+355
+00:29:18,150 --> 00:29:19,050
+system of units
+
+356
+00:29:29,550 --> 00:29:32,870
+بقولي according to what is given and what is
+
+357
+00:29:32,870 --> 00:29:36,510
+requested يصير عندك إنت معطيات ومطلوب مطلوب و بتحط
+
+358
+00:29:36,510 --> 00:29:39,970
+جنبك التلت معاجلات اللي توي اشتقناها و تقول أي
+
+359
+00:29:39,970 --> 00:29:43,250
+أنسب معاجلة نجيبها انا افترض انه مافيش من المعطيات
+
+360
+00:29:43,250 --> 00:29:47,490
+أي زمن بقول إذا المعاجلة التالتة صح ولا لا أنه
+
+361
+00:29:47,490 --> 00:29:51,230
+والله أقول والله مافيش عندي صعوبة نهائية بالمرة
+
+362
+00:29:51,230 --> 00:29:55,290
+بقول التانيةالتانية بتقول X بساوة مينوت في T plus
+
+363
+00:29:55,290 --> 00:29:58,490
+half أيه تتربيع في الشيء السرعيني أيه فانت مع
+
+364
+00:29:58,490 --> 00:30:03,650
+التجربة بتقول أي معادلة الأنسب لك او بتعملهم سواء
+
+365
+00:30:03,650 --> 00:30:06,490
+تلت معادلات مع بعض بتجيب واحد من واحد و في الآخر
+
+366
+00:30:06,490 --> 00:30:10,650
+شطرتك بتطلع الموضوع بصير العملية سهلة برضه بنرجع
+
+367
+00:30:10,650 --> 00:30:15,290
+لجبر نفترض أنه والله مش مديني زمانو لمّا جيت أروح
+
+368
+00:30:15,290 --> 00:30:17,910
+على معادلة أخيرة وجيت مافيش صراع نهائية بقدر
+
+369
+00:30:17,910 --> 00:30:21,950
+أتعامل مع كنتين الأولانيات و أجيبهم فسهل أنه
+
+370
+00:30:21,950 --> 00:30:27,280
+نتعامل معاهم نبدأ مثلا .. طبعا احنا الموضوع هذامش
+
+371
+00:30:27,280 --> 00:30:32,080
+كتير مركزين عليه مديكم مثله و بنقلب على شغل تاني
+
+372
+00:30:32,080 --> 00:30:34,560
+لإيه؟ لأنه أنا بتحيالي هذا الموضوع أنتوا شبعتوا
+
+373
+00:30:34,560 --> 00:30:38,340
+منه في المدارس صحيح ولا ده؟ وبالتالي احنا عارفين
+
+374
+00:30:38,340 --> 00:30:41,540
+طبعا احنا منهاجكم بنعرفه بدا اللي بنديكم بس مراجعة
+
+375
+00:30:41,540 --> 00:30:48,810
+و المهمنا أني قدام a car starts from restماذا يعني
+
+376
+00:30:48,810 --> 00:30:53,810
+rest؟ بدأ من السكون، بدأ من السكون هذا الـ
+
+377
+00:30:53,810 --> 00:30:56,830
+totality من أن الصراع اللي بتدعي جديش، إذا هذا
+
+378
+00:30:56,830 --> 00:31:01,850
+مُعطَع، a car starts from rest and moves with
+
+379
+00:31:01,850 --> 00:31:05,750
+constant acceleration، إذا انت ساره ثالث، إذا ثلاث
+
+380
+00:31:05,750 --> 00:31:10,150
+معادلات ممكن نستخدمهمafter 12 seconds إذن الـ T
+
+381
+00:31:10,150 --> 00:31:13,610
+أعطاني يهو ولا لأ؟ its velocity becomes one
+
+382
+00:31:13,610 --> 00:31:16,590
+hundred and twenty meters per second أعطاني السرعة
+
+383
+00:31:16,590 --> 00:31:19,910
+النهائية إذا السرعة النهائية معروفة، السرعة النهية
+
+384
+00:31:19,910 --> 00:31:25,490
+معروفة، إيش بده؟والزمن معروف the acceleration of
+
+385
+00:31:25,490 --> 00:31:29,610
+the car هذه سهلة تقول يا وردي ماذا تفاهى الفيزياء
+
+386
+00:31:29,610 --> 00:31:33,010
+هذه سهلة أزهجنا وحنا قاعدين نحل مسائل زيك و لا لأ
+
+387
+00:31:33,010 --> 00:31:37,270
+طيب إيش بده الكمان the distance the car travels in
+
+388
+00:31:37,270 --> 00:31:45,350
+the 12 second اكس اكس سهلة ثم سرعة ابتدائية و سرعة
+
+389
+00:31:45,350 --> 00:31:50,500
+نهائية و زمن أي معادلةالأولى شايفين ما أشاركوا؟
+
+390
+00:31:50,500 --> 00:31:55,620
+قاعدكوا بشاطر أيه؟ تمام؟ لأن معادلة الأولى بتقول V
+
+391
+00:31:55,620 --> 00:32:00,780
+equal V not V معروفة و V not معروفة plus A في T T
+
+392
+00:32:00,780 --> 00:32:04,480
+معروفة ولا لا؟ إيش المجهول الوحيد؟ A وإيش بده هو؟
+
+393
+00:32:04,480 --> 00:32:08,500
+بده A في سخلة فبقوللي
+
+394
+00:32:09,620 --> 00:32:12,120
+Let the direction of the motion be along the
+
+395
+00:32:12,120 --> 00:32:15,340
+positive x-axis انا السيارة باعتبرها هيك ماشية
+
+396
+00:32:15,340 --> 00:32:19,000
+وهذا اتجاه الموجب Where the car starts from the
+
+397
+00:32:19,000 --> 00:32:23,440
+origin الـT بالثورة صفر و X0 بالثورة صفر طيب بقول
+
+398
+00:32:23,440 --> 00:32:27,680
+للمعادلة V equal V0 plus AT إذا الـA بتثور V minus
+
+399
+00:32:27,680 --> 00:32:36,630
+V0 على T تمام؟ هذه 120 وهذه 0 وهذه 100يريد كل
+
+400
+00:32:36,630 --> 00:32:43,150
+الأسئلة زيها صحيح؟ وهي في كتير أسئلة زيها but
+
+401
+00:32:43,150 --> 00:32:46,570
+v not equal to 0 احنا بنطول الحل عشان بتحسوا انه
+
+402
+00:32:46,570 --> 00:32:51,010
+محرز يعني v not بالساوة 0 وv بالساوة 120 وt
+
+403
+00:32:51,010 --> 00:32:55,130
+بالساوة 12 second قبل ما نعود وطلعت عشرة متر per
+
+404
+00:32:55,130 --> 00:33:00,770
+second square سهل طيب ايه ضعيلة to find the
+
+405
+00:33:00,770 --> 00:33:06,230
+distance طب عندك زمنوعندك سرعة اقتدائية وبدك مسافة
+
+406
+00:33:06,230 --> 00:33:10,510
+ما القانون التاني بيجيبها .. صحيح؟ القانون التاني
+
+407
+00:33:10,510 --> 00:33:13,710
+.. طب القانون الأخير .. قليل برضه بيجيبها واحد
+
+408
+00:33:13,710 --> 00:33:17,190
+بيقول طب بينا أسهل ليه؟ .. بيقول هادي بادي اختار
+
+409
+00:33:17,190 --> 00:33:20,170
+اللي .. وين ما يجع .. قدمك .. و بعدين في التاني
+
+410
+00:33:20,170 --> 00:33:23,630
+بتأكد الجواب .. عشان نشوف انه صح ولا لا .. مش هاكل
+
+411
+00:33:23,630 --> 00:33:26,430
+في أحد بيراجع .. بحلها بطريقة تانية .. و الله إذا
+
+412
+00:33:26,430 --> 00:33:29,390
+طلع نفسي جواب .. بيقول صار في تواتر .. خلاص ..
+
+413
+00:33:29,390 --> 00:33:35,960
+أكيد الحال صحيح .. تمام؟X بيتساوي V0 في T بلس half
+
+414
+00:33:35,960 --> 00:33:44,040
+E T T Square بيدو X V0 جديهش؟ Zero Zero في T ولا
+
+415
+00:33:44,040 --> 00:33:47,300
+Zero في خمسة؟ هد Zero في .. جديش T؟ أتنعش؟ بتحصل
+
+416
+00:33:47,300 --> 00:33:50,160
+تكون Zero في أتنعش في أتنعش، أتنعش أجور بتظل هد
+
+417
+00:33:50,160 --> 00:33:56,140
+أتنعش؟ تمام Zero في أتنعش جديهش؟ Zero plus half E
+
+418
+00:33:56,140 --> 00:34:01,280
+طلعتها في T Square وهد ال calculator طلعتهاطلع الـ
+
+419
+00:34:01,280 --> 00:34:09,000
+720 متر هذه سهلة في أي صعوبة فيها؟ في أي استفسار
+
+420
+00:34:09,000 --> 00:34:12,740
+يا بنات؟ سهلة الأعمالية لسه ماخشيناش في الجد يعني
+
+421
+00:34:12,740 --> 00:34:18,420
+لسه احنا موضعنا .. سهلة هال gate نيجي للـ free
+
+422
+00:34:18,420 --> 00:34:21,680
+-falling bodies جالي الـ free-falling bodies
+
+423
+00:34:21,680 --> 00:34:27,100
+الشيهة دي سقوط الحر الشومين يقولش هو سقوط الحر و
+
+424
+00:34:27,100 --> 00:34:28,020
+لسه مو سقوط حر
+
+425
+00:34:38,380 --> 00:34:42,300
+بالظبط إذا شو سقط الحق؟ احكي فيه عندك حاجة تانية
+
+426
+00:34:42,300 --> 00:34:42,640
+احكي
+
+427
+00:34:46,900 --> 00:34:50,580
+اللي هي الجاذبية الأرضية وكأنه في حد مقدر يلغي
+
+428
+00:34:50,580 --> 00:34:54,160
+الجاذبية الأرضية في قوة؟ هذي مقدرين فيها قال إذا
+
+429
+00:34:54,160 --> 00:34:57,800
+مافيش قوة غيرها الجاذبية الأرضية يقول الجسم يسقط
+
+430
+00:34:57,800 --> 00:35:03,880
+سقوط حر هذه تعريف السقوط الحر عليه قوة واحدة و هي
+
+431
+00:35:03,880 --> 00:35:07,880
+قوة جاذب الأرض قوة جاذب الأرض بتلقيش لأنه شغلة من
+
+432
+00:35:07,880 --> 00:35:12,190
+الخليقة من طبيعة الأمور من طبيعة الدنيابيقول .. a
+
+433
+00:35:12,190 --> 00:35:15,550
+free falling body is anybody .. anybody .. moving
+
+434
+00:35:15,550 --> 00:35:19,290
+freely .. بتحرك بحرية .. طبعا كلمة حرية يعني ماحد
+
+435
+00:35:19,290 --> 00:35:23,270
+بيأثر عليه .. مافيش قوة تانية .. under the
+
+436
+00:35:23,270 --> 00:35:27,110
+influence تحت تأثير .. under the influence of
+
+437
+00:35:27,110 --> 00:35:30,190
+gravity .. gravity الجاذبية .. و influence تأثير
+
+438
+00:35:30,190 --> 00:35:32,550
+.. يكون مرض عليكم influence في المدارس .. ال
+
+439
+00:35:32,550 --> 00:35:36,130
+gravity regardless of its initial motion .. بغض
+
+440
+00:35:36,130 --> 00:35:39,710
+النظر عن طبيعة الحركة .. يعني كيف .. هذه الجلمة لو
+
+441
+00:35:39,710 --> 00:35:44,630
+نزلته .. سقط حر ولا لا؟هي سقوط حر طيب لو طلعته فوق
+
+442
+00:35:44,630 --> 00:35:50,470
+و الله سقوط حر لما أنا فلته هجيت سفلته هطار ..
+
+443
+00:35:50,470 --> 00:35:53,630
+بديش اطير و لاحظة بعدين يجي ع حدك طبعا؟ طار فوق ..
+
+444
+00:35:53,630 --> 00:35:58,930
+فأول ما فلته مين بيأثر عليه؟ دي ذهب إذا سقوط حر
+
+445
+00:35:58,930 --> 00:36:04,570
+ولا لا؟ إذا بغض النظر أنا نزلته تحت ولا طلعته فوق؟
+
+446
+00:36:04,570 --> 00:36:07,690
+regardless of its initial motion بغض النظر وين أنت
+
+447
+00:36:07,690 --> 00:36:10,190
+بدأت حركتك طب لأش أنا هذا
+
+448
+00:36:13,520 --> 00:36:17,920
+السقوط الحُر مغلوفات السقوط الحُر .. إيه تعريف
+
+449
+00:36:17,920 --> 00:36:22,340
+المغلوفات؟ أي جسم بيأثر عليه فقد الجاذبية الأرضية؟
+
+450
+00:36:22,340 --> 00:36:26,340
+زي هذه ولا لا؟ إيش بيفرق؟ بيقول يهدأك الـInitial
+
+451
+00:36:26,340 --> 00:36:29,980
+Velocity تبعته ممكن تكون لها مركبتين، سنية وصادية
+
+452
+00:36:29,980 --> 00:36:33,400
+لكن هنا المركب .. تصل إلى الإتدائية لمركبة واحدة،
+
+453
+00:36:33,400 --> 00:36:40,080
+صادية، بس فبالتالي بيقول كل سقوط حُر هومقلوفة الـ
+
+454
+00:36:40,080 --> 00:36:43,380
+projectile motion سنأخذها أما الـ projectile
+
+455
+00:36:43,380 --> 00:36:46,420
+motion ممكن تجاوز أن نقول عنها سقوط حُر لكن عشان
+
+456
+00:36:46,420 --> 00:36:50,860
+نتميزها و لا نتخلص عنها أما كل سقوط حُر هو حركة
+
+457
+00:36:50,860 --> 00:36:56,140
+مقلوفة بس مجرد حالة لمانية تلقائيا فيها طيب افهمنا
+
+458
+00:36:56,140 --> 00:36:59,680
+بقول assuming that the gravitational acceleration
+
+459
+00:36:59,680 --> 00:37:05,870
+من أي مقالع هذه تسارع تبع الجاذبية بنظر برمز Gمش
+
+460
+00:37:05,870 --> 00:37:12,690
+ايه acceleration جي هذه ثابتة من كلمة gravity و
+
+461
+00:37:12,690 --> 00:37:17,790
+تعتبر ثابتة طبعا لازم نعرف انه حسبتوا بدتوا تاخدوا
+
+462
+00:37:17,790 --> 00:37:25,310
+معامل لسه ما عملتوش ولا تجربة هتحسبوا جي في غزة او
+
+463
+00:37:25,310 --> 00:37:30,730
+في معملنا يعنى لان جي هذه تتغير من مكان لمكان كيف
+
+464
+00:37:30,730 --> 00:37:35,330
+تتغير من مكان لمكان فوق غير عن تحتأو في القطب
+
+465
+00:37:35,330 --> 00:37:38,050
+الشمالي غير على النصف أكتر من الشغل اللي بتأثر
+
+466
+00:37:38,050 --> 00:37:41,450
+عليها دوران الكورة الأرضية بيأثر عليها الارتفاع
+
+467
+00:37:41,450 --> 00:37:44,610
+بيأثر عليها احنا هذه واحدة واحدة بنعتبرها ثابتة
+
+468
+00:37:44,610 --> 00:37:48,470
+يعني ليش انا بحكيلكم مش بكرة طلعوها تسعة أو ستة
+
+469
+00:37:48,470 --> 00:37:51,290
+اتقولوا غلط و تحط زائد زيفه في ال .. في الدأتة
+
+470
+00:37:51,290 --> 00:37:54,430
+عشان طلعوها تسعة و تمانية لأ لأ لأ مش مشكلة طلعوها
+
+471
+00:37:54,430 --> 00:37:58,850
+تسعة و ستة طلعوها عشرة مش مهم مافيش مشكلة لإن احنا
+
+472
+00:37:58,850 --> 00:38:01,570
+مش عارفين انها بغزة بغزة متجدش طبعا ممكن نعرفها بس
+
+473
+00:38:01,570 --> 00:38:07,070
+خلينا انأنا أعتقد في الأسئلة التي كنت أعتبرها
+
+474
+00:38:07,070 --> 00:38:10,230
+ثابتة قرية تعتبر تسعة بون تمانية متر بيها ساكن
+
+475
+00:38:10,230 --> 00:38:13,850
+تربية denoted by G إذا طول ما سألها برامج G is
+
+476
+00:38:13,850 --> 00:38:18,930
+constant وكان طيب هذه ال acceleration G ثابتة ممكن
+
+477
+00:38:18,930 --> 00:38:21,550
+أستخدم تلت معادلات اللي اشتقتكم انا وياكم او لا؟
+
+478
+00:38:21,550 --> 00:38:25,990
+اه هجبلك شرطه ان ال acceleration تكون constant وهي
+
+479
+00:38:25,990 --> 00:38:32,040
+ال acceleration G ثابتة تمامنستطيع أن نعتبر محرك
+
+480
+00:38:32,040 --> 00:38:37,360
+جسد مستقل كمحرك عمودي مع تحرير مستقل لماذا عمودي؟
+
+481
+00:38:37,360 --> 00:38:40,600
+قال لي مستحيل الجسم إذا طلعته فوق أو نزلته لتحت
+
+482
+00:38:40,600 --> 00:38:45,200
+يعوج هيك أو هيك ما هو مين يعوجه؟ قوة و القوة في
+
+483
+00:38:45,200 --> 00:38:49,120
+الشلاء عمودية is a no way إلا أنك تكون بخط واحد
+
+484
+00:38:49,120 --> 00:38:56,610
+لأنه عندك تسرع بخط واحد طيب .. في شي هنا؟ لأSince
+
+485
+00:38:56,610 --> 00:39:00,110
+the motion is vertical بقول انت الحركة الـ free
+
+486
+00:39:00,110 --> 00:39:05,430
+-falling vertical صح؟ ايش معنى vertical؟ عمودي ..
+
+487
+00:39:05,430 --> 00:39:08,550
+vertical يعني عمودي الـ free-falling عمرها بمكانة
+
+488
+00:39:08,550 --> 00:39:13,270
+أفقية السقوط الحور .. لأ .. تمام و العمودي عادة دي
+
+489
+00:39:13,270 --> 00:39:19,900
+اكس ولا وايY وقوانينك اللي انت عملتها قولت X بيسوء
+
+490
+00:39:19,900 --> 00:39:26,640
+V0 plus half V0 في T .. sorry V0 plus AT صحيح ولا
+
+491
+00:39:26,640 --> 00:39:30,880
+لا؟ هذه X على اعتبار أنها حركة أفقية طب لو عمودية،
+
+492
+00:39:30,880 --> 00:39:33,750
+فانا أغيرها، خلّي هواطب واحد بيقول أنا و ال Y
+
+493
+00:39:33,750 --> 00:39:37,650
+مصحبة، بدي خلّيها X؟ خلّيها X، ماتفرجش معاك، يعني
+
+494
+00:39:37,650 --> 00:39:41,230
+بمعنى أخر، ممكن هذه تصبح X وهذه واحد معاند مع ال
+
+495
+00:39:41,230 --> 00:39:44,630
+X، مابحبش ال Y بالمرة، مابريها Y ما تكون، تكون
+
+496
+00:39:44,630 --> 00:39:50,190
+معاه X، ماتفرجش يعني احنا تجاوزة بنحطها Y عشان
+
+497
+00:39:50,190 --> 00:39:53,630
+المتعودين للناس كل حاجة عموديها تكون Y واحد بيقول
+
+498
+00:39:53,630 --> 00:39:56,550
+أنا و ال Y مصحبة، مابدي خلّيها X؟ خلّيها X، مافيش
+
+499
+00:39:56,550 --> 00:39:57,290
+عندك مشكلة
+
+500
+00:40:00,940 --> 00:40:03,720
+ماذا يكتب في الـ Third Persons تبعي؟ With a
+
+501
+00:40:03,720 --> 00:40:07,060
+positive sense is upward كل حاجة الأعلى ليش
+
+502
+00:40:07,060 --> 00:40:13,200
+بتعتبرها موجبة وكل حاجة أسفل سالبة حلو طب كيف بدي
+
+503
+00:40:13,200 --> 00:40:17,140
+أعرفها؟ بقول لهم هو بديك السؤال طبيعته مش بديك
+
+504
+00:40:17,140 --> 00:40:20,280
+سرعات تدائية كيف بقولك والله قذفتها الأعلى قذفتها
+
+505
+00:40:20,280 --> 00:40:22,900
+الأعلى قذفتها الأسفل قذفتها الأسفل طب في شغلة بدي
+
+506
+00:40:22,900 --> 00:40:26,680
+مش إياها تصارع الجانبية بالنسبة ليه يعطينا إياها؟
+
+507
+00:40:27,400 --> 00:40:34,080
+كيف اتجاهك؟ دائما الأسفل في مجال تكون مرة ميلة و
+
+508
+00:40:34,080 --> 00:40:39,940
+مرة أعلى و مرة الأسفل، مافي مجال بغض النظر عن حركة
+
+509
+00:40:39,940 --> 00:40:44,520
+الجسم حركة الجسم لفوق، التسارع لأسفل حركة الجسم
+
+510
+00:40:44,520 --> 00:40:48,900
+لأسفل، التسارع لأسفل تمام؟ حركة الجسم ساكنة،
+
+511
+00:40:48,900 --> 00:40:52,380
+التسارع .. التسارع لأسفل؟ مافي شيء، إذا بيه أرضية،
+
+512
+00:40:52,380 --> 00:40:55,260
+ماتتغيرش تمام؟ احكيه
+
+513
+00:41:02,800 --> 00:41:07,580
+طيب و لمّا كلها أسفل؟
+
+514
+00:41:07,580 --> 00:41:11,500
+إيش كنت تسوي؟ ليش أنا أركز على النقطة هذه؟ إيش كنت
+
+515
+00:41:11,500 --> 00:41:14,820
+تسوي انت؟ شو ولد تجاهه عكس الجاذبية؟
+
+516
+00:41:21,650 --> 00:41:25,430
+لأ هنا في معلومة مغلوطة يعني ممكن انتوا كنتوا تحلو
+
+517
+00:41:25,430 --> 00:41:30,150
+تحلو صح لكن مركبة دوا مخكم داخل غلط يعني ماهي دعوة
+
+518
+00:41:30,150 --> 00:41:36,530
+باتجاه الحركة عشان كده انا كاتب كاتب
+
+519
+00:41:36,530 --> 00:41:39,530
+هنا في مكان ما المهم بغض النظر عن اتجاه الحركة
+
+520
+00:41:39,530 --> 00:41:44,150
+التسارع بتمت على ايش اتجاهك الموجبإنت اتجاهك
+
+521
+00:41:44,150 --> 00:41:46,970
+الموجب كيف؟ في بعض المسائل اتجاهك الموجب يكون
+
+522
+00:41:46,970 --> 00:41:52,650
+الأعلى إذا التصارُع ماله؟ سالم إذا جلبتي اتجاهك
+
+523
+00:41:52,650 --> 00:41:56,230
+الموجب لأسفل ساعتها بتجلبك عشان كده أنا منصح
+
+524
+00:41:56,230 --> 00:42:01,690
+حتتالي دايما خدوا اتجاهكم الموجب لأعلى كل شي موجب
+
+525
+00:42:01,690 --> 00:42:07,430
+لأعلى ساعتها دايما التصارع سالم دايما كل حاجة
+
+526
+00:42:07,430 --> 00:42:11,630
+لأعلى يكون موجبة ورايح حالك عشان نصرش نقول كيف
+
+527
+00:42:11,630 --> 00:42:15,580
+الحركةماليش دعوة في الحركة التصارُع ماليش دعوة في
+
+528
+00:42:15,580 --> 00:42:17,100
+الحركة إطلاقا
+
+529
+00:42:19,980 --> 00:42:23,020
+بالتالي بيقول since the motion is vertical we take
+
+530
+00:42:23,020 --> 00:42:25,960
+our axis to be the y-axis with the positive since
+
+531
+00:42:25,960 --> 00:42:29,960
+is upward أنا هنا بدأت اتجاه الموجة من أين لأعلى
+
+532
+00:42:29,960 --> 00:42:34,600
+ساعتها so we replace x by y and the acceleration a
+
+533
+00:42:34,600 --> 00:42:38,740
+by minus g ليش حد تتناقص لأنها لأسفل و قالت كل
+
+534
+00:42:38,740 --> 00:42:42,400
+حاجة لأعلى هي الموجة ده هذي لأسفل ايش بتكون ثانية
+
+535
+00:42:42,400 --> 00:42:44,980
+و قالت جعل القوانين التلاتة اول قانون ايش بيقول
+
+536
+00:42:46,230 --> 00:42:48,970
+الشيء الأساسي هو أن الـGravitational Acceleration
+
+537
+00:42:48,970 --> 00:42:54,110
+دائمًا تعمل عرفت ليش السالب، حكيتها أه، هذي اللي
+
+538
+00:42:54,110 --> 00:42:57,250
+مانسية، بتقول فيه فرق هذي G بالساوية 9.8 متر per
+
+539
+00:42:57,250 --> 00:43:00,970
+second square و بالساوية 32 قدم لكل second تربيع
+
+540
+00:43:00,970 --> 00:43:03,930
+بالنظام الإنجليزي اللي مش هتستخدمه لكن بس للذكرة
+
+541
+00:43:03,930 --> 00:43:09,930
+تظلها هي أول قانون، إيش صعب؟ V equal V naught كانت
+
+542
+00:43:09,930 --> 00:43:13,770
+زائد ET، ذاكرينها؟ جمت الـA واش حدثت محلها؟ minus
+
+543
+00:43:13,770 --> 00:43:14,370
+G
+
+544
+00:43:17,550 --> 00:43:22,070
+-G، طيب القانون التالت كان في X، إيش بحطه بدل X؟
+
+545
+00:43:22,070 --> 00:43:27,510
+Y، واحد حط X مهمش، مافيش مشكلة، V0 في T، minus G
+
+546
+00:43:27,510 --> 00:43:33,150
+بدل plus A، minus G، إذا الـ minus half GT تربيع،
+
+547
+00:43:33,150 --> 00:43:39,670
+والقانون التالت V² equal V0² minus 2G في Y
+
+548
+00:43:43,150 --> 00:43:47,350
+الذي سألته زمنكم، أنا حاطه الآن ملاحظة طلع عايش
+
+549
+00:43:47,350 --> 00:43:52,310
+كاتب انا، يعني لاجيتها محقوقة بيقول remember that
+
+550
+00:43:52,310 --> 00:43:56,950
+the gravitational acceleration g is constant in
+
+551
+00:43:56,950 --> 00:44:01,870
+magnitude and in direction يعني دايما 9.8 و دايما
+
+552
+00:44:01,870 --> 00:44:05,710
+لأسفل متفقين؟ إذن هي constant في المجموعة و
+
+553
+00:44:05,710 --> 00:44:08,970
+الdirection عمرها ما طلعت لفوق و قال يا كان الجلم
+
+554
+00:44:08,970 --> 00:44:11,390
+هدى و حاططه على الطاولة و بعد خمس دقايق قبل أن يجي
+
+555
+00:44:11,390 --> 00:44:14,810
+طايرعقبوا شفت وطار؟ إذا الـ acceleration مستحيل
+
+556
+00:44:14,810 --> 00:44:19,090
+تكون لفوق تمام and تمام this means that the
+
+557
+00:44:19,090 --> 00:44:23,530
+negative sign of the last equations will not be
+
+558
+00:44:23,530 --> 00:44:28,330
+changed ماتغيّرهمش ماتغيّرهمش بمرة unless ..
+
+559
+00:44:28,330 --> 00:44:31,250
+ماكنتش ممكن تغيّرهم you change your positive sense
+
+560
+00:44:31,250 --> 00:44:34,290
+إذا بتجلب كل الدنيا و تخلي كل الحاجة الأسفل فيها
+
+561
+00:44:34,290 --> 00:44:38,280
+positiveساعتها بصحيح لك اتغير، بس في هذه الحالة
+
+562
+00:44:38,280 --> 00:44:43,140
+بكتنك باهي، ساعتها ال V و ال V0 و ال Y بتعملها في
+
+563
+00:44:43,140 --> 00:44:46,560
+نهاية على ذلك، أما انت خليك زي ما هيك انت نزل
+
+564
+00:44:46,560 --> 00:44:50,560
+متعارف و كل حاجة الأعلى هي الموجبة، أريح و بالتالي
+
+565
+00:44:50,560 --> 00:44:53,720
+هدول السوالب، مش أقول الجسم لفوق ولا لتحت، أغير
+
+566
+00:44:53,720 --> 00:44:58,460
+القوانين، مديش أعمل هيكبغض النظر كيف قذفت الجسم
+
+567
+00:44:58,460 --> 00:45:03,200
+لأعلى أو لأسفل القوانين زي ما هم بإشارة السلب
+
+568
+00:45:03,200 --> 00:45:07,540
+تبعتهم على اعتبار كلشي لأعلى positive وكلشي لأسفل
+
+569
+00:45:07,540 --> 00:45:12,800
+negative بتعامل معاهم إذا unless you change your
+
+570
+00:45:12,800 --> 00:45:15,700
+positive sense regardless of the direction of the
+
+571
+00:45:15,700 --> 00:45:19,260
+motion بغض النظر عن اتجاه الحركةاتجاه الحركة
+
+572
+00:45:19,260 --> 00:45:21,640
+مالهاش دعوة بالـ Acceleration بالمرة يا بنات اتجاه
+
+573
+00:45:21,640 --> 00:45:24,260
+الحركة اللي بيحكمها الـ Velocity لما يقوللي واحد
+
+574
+00:45:24,260 --> 00:45:28,240
+نازل بقولك كده سرعته؟ لفوق ولا لتحت؟ واحد نازل
+
+575
+00:45:28,240 --> 00:45:34,140
+سرعته لفوق ولا لتحت؟ سرعته لتحت لكن جسم صاعد لفوق
+
+576
+00:45:34,140 --> 00:45:37,200
+اذا لما يقوللي صاعد او نازل اللي بيلعب دور فيها
+
+577
+00:45:37,200 --> 00:45:39,720
+الـ Velocity طيب جسم صاعد كدهش الـ Acceleration
+
+578
+00:45:39,720 --> 00:45:42,380
+تبعته؟ الـ Acceleration
+
+579
+00:45:44,260 --> 00:45:49,600
+لفوق، ضغط طائرة ما ترجعش، لتحت، الجسم نازل، الـ
+
+580
+00:45:49,600 --> 00:45:54,320
+acceleration تبعته لتحت، جسم طالع، سرعته فوق،
+
+581
+00:45:54,320 --> 00:45:57,640
+الجسم نازل، سرعته تحت، الجسم طالع، السرعة تبعته
+
+582
+00:45:57,640 --> 00:46:01,640
+تحت، الجسم نازل، السرعة تبعته تحت، الجسم نازل،
+
+583
+00:46:01,640 --> 00:46:07,100
+السرعة تبعته تحت، الجسم نازل، السرعة تبعته تحت،
+
+584
+00:46:07,100 --> 00:46:08,880
+الجسم نازل، السرعة تبعته تحت، الجسم نازل، السرعة
+
+585
+00:46:08,880 --> 00:46:09,160
+تبعته تحت، الجسم نازل، السرعة تبعته تحت، الجسم
+
+586
+00:46:09,160 --> 00:46:09,480
+نازل، السرعة تبعته تحت، الجسم نازل، السرعة تبعته
+
+587
+00:46:09,480 --> 00:46:12,390
+تحت، الجسم نازل، السرعة تبعته تحت، الجالـC و لا
+
+588
+00:46:12,390 --> 00:46:16,490
+الـF نحن موجودين عشان نجاوب على كلمة ليش في المخ
+
+589
+00:46:16,490 --> 00:46:22,430
+بس تحكوها بصوت عالي احكيه الـ9 ليه؟ الوزن وين
+
+590
+00:46:22,430 --> 00:46:27,050
+رأسك؟ وين هو الوزن؟ وزن الرجيم، ماشيلك فيه؟ موجود
+
+591
+00:46:27,050 --> 00:46:29,310
+إذا واحد بيشوف حلقة عمل رجيم ولا لا، بيشوف الوزن،
+
+592
+00:46:29,310 --> 00:46:32,190
+ماشيلك فيه هنا؟ ماشيلك فيه الوزن؟ خليا، إيش بديك
+
+593
+00:46:32,190 --> 00:46:37,550
+فيه؟ عادي، ماكنتش تحسنينكنت تحسين بيه بموضوع تاني
+
+594
+00:46:37,550 --> 00:46:41,750
+الوزن acceleration و لا .. و لا سرعة و لا X و لا T
+
+595
+00:46:41,750 --> 00:46:46,370
+ايه شوه؟ كتلة؟ لأ لأ لأ مش كتلة هاد بضحك عليك اذا
+
+596
+00:46:46,370 --> 00:46:49,990
+بيقول كتلة هي .. قوة .. قوة .. قوة .. قوة .. قوة
+
+597
+00:46:49,990 --> 00:46:50,010
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+598
+00:46:50,010 --> 00:46:50,230
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+599
+00:46:50,230 --> 00:46:50,250
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+600
+00:46:50,250 --> 00:46:50,990
+.. قوة .. قوة .. قوة .. قوة .. قوة .. قوة .. قوة
+
+601
+00:46:50,990 --> 00:46:55,010
+.. قوة .. قوة .. قوة .. قوة
+
+602
+00:46:55,010 --> 00:46:59,270
+.. قأنا لسه مابعرفهاش فالوزن مش هاد مكانه يا بنتي
+
+603
+00:46:59,270 --> 00:47:03,590
+تمام؟ أنا بتعامل مع acceleration احكيلي انت قولت
+
+604
+00:47:03,590 --> 00:47:07,750
+كان الجسم برضه طالع تصرح لأسفل؟ اه تصرح جذبيك؟ كيف
+
+605
+00:47:07,750 --> 00:47:12,930
+يعني؟ جذبيك تصرح لأسفل؟ هو تصرح لأول جهة؟ انا
+
+606
+00:47:12,930 --> 00:47:17,670
+ربيته هذا من اللي بيخليه يتصرح؟ لتحت، انا مافكش
+
+607
+00:47:17,670 --> 00:47:22,930
+مكان نفسي عليه فوق يا بنتي هجيت على هذا قضفته لفوق
+
+608
+00:47:22,930 --> 00:47:28,170
+تصرحوا ايه؟كيف اتجاه تسارعه؟ هو ايش اللي بأثر
+
+609
+00:47:28,170 --> 00:47:32,170
+عليه؟ جاذبية .. كيف اتجاهها؟ تسارع الاسفل .. و هو
+
+610
+00:47:32,170 --> 00:47:34,950
+كيف اتجاه تسارعه؟ يعني كان يظهر انه راح يسقط لأسفل
+
+611
+00:47:34,950 --> 00:47:39,990
+.. تسارعه لأسفل و راح يسقط لأسفل .. تسارعه لأسفل و
+
+612
+00:47:39,990 --> 00:47:39,990
+راح يسقط لأسفل .. تسارعه لأسفل و راح يسقط لأسفل ..
+
+613
+00:47:39,990 --> 00:47:41,710
+تسارعه لأسفل و راح يسقط لأسفل .. تسارعه لأسفل و
+
+614
+00:47:41,710 --> 00:47:49,450
+راح يسقط لأسفل .. تسارعه لأسفل و راح يسقط لأسفل ..
+
+615
+00:47:49,450 --> 00:47:56,210
+تسارعه لأسفل و راحكل اللي شأت اللي عندكم حوشوه، بس
+
+616
+00:47:56,210 --> 00:48:00,170
+قولولي ياه بسوت عالي، أي حاجة عندكم ليش، قولوها،
+
+617
+00:48:00,170 --> 00:48:01,490
+مافيش عندنا مشكلة، تاكلوا عافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JfWLjz1Ai7A.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JfWLjz1Ai7A.srt
new file mode 100644
index 0000000000000000000000000000000000000000..059e032df566e3ba34f3aa40e8b5cf7f3453e981
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JfWLjz1Ai7A.srt
@@ -0,0 +1,1929 @@
+1
+00:00:21,290 --> 00:00:26,710
+بنسمّي بسم الله و نبدأ الـ chapter الثالث اليوم الـ
+
+2
+00:00:26,710 --> 00:00:30,910
+chapter الثاني الماضي كان عنوانه الـ linear motion
+
+3
+00:00:30,910 --> 00:00:36,710
+الحركة في خط واحد في خط مستقيم باتجاه واحد الآن الـ
+
+4
+00:00:36,710 --> 00:00:41,630
+planar motion الحركة المستوية طبعًا المستوى معروف
+
+5
+00:00:41,630 --> 00:00:48,520
+أن هو direction2 X Y وبالتالي الآن في بعض الحركات
+
+6
+00:00:48,520 --> 00:00:52,760
+ما نستطيع أن نتعامل معها كـ one dimension زي حركة
+
+7
+00:00:52,760 --> 00:00:55,280
+المقذوفات الـ projectile motion الـ projectile
+
+8
+00:00:55,280 --> 00:00:58,720
+motion في اتجاهين زي الحركة الدائرية يا بنات في
+
+9
+00:00:58,720 --> 00:01:03,420
+دائرة بترسم على خط مستقيم لازم يكون X Y ففي بعض
+
+10
+00:01:03,420 --> 00:01:07,660
+الحركات بتكون two dimensional كيف نتعامل مع هذه
+
+11
+00:01:07,660 --> 00:01:11,600
+الأمور هذا هو موضوع الـ chapter الثالث
+
+12
+00:01:13,930 --> 00:01:16,190
+العنوان اللي أخدناه في الفصل .. في الـ chapter
+
+13
+00:01:16,190 --> 00:01:20,570
+الماضي، بدنا نعيده displacement إيش معناتها؟ is a
+
+14
+00:01:20,570 --> 00:01:24,550
+velocity and acceleration كلنا معرفهم ولا لأ بس
+
+15
+00:01:24,550 --> 00:01:27,490
+الآن بنعمّمهم بدل one dimension يكونوا two
+
+16
+00:01:27,490 --> 00:01:31,770
+dimensions تمام بيقول consider a particle أنا لما
+
+17
+00:01:31,770 --> 00:01:34,590
+يكون عندي particle بيمشي على اللوح نرجع نملة بيمشي
+
+18
+00:01:34,590 --> 00:01:37,070
+على اللوح لما تمشي على اللوح معناه انها ما تمشيش في
+
+19
+00:01:37,070 --> 00:01:40,810
+خط مستقيم كانت هنا وممكن تلاقوها هنا لكن لو في خط
+
+20
+00:01:40,810 --> 00:01:44,550
+مستقيم هتلاقوها هنا أو هنا الآن ممكن تجي هنا فأي
+
+21
+00:01:44,550 --> 00:01:49,080
+particle بيمشي في مستوى اللوح A particle moves
+
+22
+00:01:49,080 --> 00:01:52,300
+along the curve shown from an initial point I to a
+
+23
+00:01:52,300 --> 00:01:58,840
+final point F كانت هنا وصارت هنا يعني ما مشيتش بخط
+
+24
+00:01:58,840 --> 00:02:02,680
+مستقيم مشيت بـ curve نفترض انه كانت هنا وصارت هنا
+
+25
+00:02:03,300 --> 00:02:06,700
+تمام يا بنات؟ حلو بيقول إيه؟ بدنا نشوف الـ
+
+26
+00:02:06,700 --> 00:02:09,200
+displacement تبعها إيه صار فيها نشوف الـ
+
+27
+00:02:09,200 --> 00:02:12,640
+displacement في البداية كيف واضحة و الـ
+
+28
+00:02:12,640 --> 00:02:15,120
+displacement في النهاية كيف واضحة و نطرحهم من بعض
+
+29
+00:02:15,120 --> 00:02:19,820
+مش هيك؟ و نعمل Delta X بسوء X final نقص X initial
+
+30
+00:02:19,820 --> 00:02:24,140
+تمام وإنها X final the initial and the final
+
+31
+00:02:24,140 --> 00:02:27,300
+position of the particle are two dimensional
+
+32
+00:02:27,300 --> 00:02:31,560
+vectors موضع الجسم initially و finally two
+
+33
+00:02:31,560 --> 00:02:36,820
+dimensional لأن لو جيه بدي أرسم مش هذي RI هذي الـ
+
+34
+00:02:36,820 --> 00:02:40,240
+initial displacement طبعًا احنا هذه المرة رمزنا لها
+
+35
+00:02:40,240 --> 00:02:44,400
+برمز X، ذاكرين؟ X initial و X final بس الآن ما أقدرش
+
+36
+00:02:44,400 --> 00:02:48,810
+أقول X لأنهم مش سينية ولا بقدر أقول why لأنها مش
+
+37
+00:02:48,810 --> 00:02:52,650
+صادية، إنها مُركّبة سينية و مُركّبة صادية، فالرمز
+
+38
+00:02:52,650 --> 00:02:56,870
+المُتعرف عليه R وهذا R vector بحلله إلى مُركّبة
+
+39
+00:02:56,870 --> 00:03:01,050
+السينية و مُركّبة الصادية، طب و الـ R final؟ في
+
+40
+00:03:01,050 --> 00:03:05,020
+مشكلة يا بنات؟ كيف أنا بجيب إزاحة الجسم من عندي
+
+41
+00:03:05,020 --> 00:03:09,060
+لعند الجسم صحيح ولا لأ؟ طبعًا أنا اللي بجيب بجيب من
+
+42
+00:03:09,060 --> 00:03:12,900
+الـ origin دايمًا نقطة الأصل فمن نقطة الأصل للـ
+
+43
+00:03:12,900 --> 00:03:15,680
+initial point هذه R initial هذه الـ displacement
+
+44
+00:03:15,680 --> 00:03:20,140
+الابتدائية وهذه الـ displacement النهائية الآن الـ
+
+45
+00:03:20,140 --> 00:03:23,140
+displacement الكلية اترح التغير في الـ displacement
+
+46
+00:03:23,140 --> 00:03:30,000
+R final minus R initial طيب الـ R هذه الـ vector
+
+47
+00:03:30,000 --> 00:03:33,900
+نقدر نِحلّله ولا ما نقدرش إيش نِحلّله؟ إيه
+
+48
+00:03:33,900 --> 00:03:38,140
+مُركّبة سينية وإيه مُركّبة صادية؟ مُركّبة السينية X و
+
+49
+00:03:38,140 --> 00:03:41,640
+مُركّبة الصادية Y يعني لو جيت بدي أحلله مش أنا بعمل
+
+50
+00:03:41,640 --> 00:03:48,020
+هيك و بعمل هيك هذي XI و هذي YI صحيح ولا لأ؟ تمام
+
+51
+00:03:48,020 --> 00:03:51,000
+وبالتالي هذي الـ vector هيك بصير و هذي الـ vector
+
+52
+00:03:51,000 --> 00:03:57,060
+هيك تمام؟ I طبعًا initial معناه هنا تمام، إذا الـ R
+
+53
+00:03:57,060 --> 00:03:59,940
+initial بيستوي X initial باتجاه الـ I زي الـ Y
+
+54
+00:03:59,940 --> 00:04:04,960
+initial باتجاه الـ J، طيب، و الـ R final نفس القضية،
+
+55
+00:04:04,960 --> 00:04:09,760
+تمام، الآن الـ displacement of the particle،
+
+56
+00:04:09,760 --> 00:04:15,270
+التغيير اللي صار عنده هو Delta R بيستوي R final ناقص
+
+57
+00:04:15,270 --> 00:04:19,230
+R initial هجيب احنا two vectors A و B بنعرف نطرحهم
+
+58
+00:04:19,230 --> 00:04:23,470
+و نجمعهم؟ مظبوط ولا لأ؟ من الـ chapter الأول طيب،
+
+59
+00:04:23,470 --> 00:04:28,590
+هذا إيه vector زيه زي A؟ و هذا .. sorry .. هذا هو
+
+60
+00:04:28,590 --> 00:04:32,290
+.. و هذا هو وكأنه في عندكم vector A و vector B و
+
+61
+00:04:32,290 --> 00:04:35,610
+أريد أن أطرحهم كيف نطرح و نجمع احنا في الـ vectors
+
+62
+00:04:35,610 --> 00:04:38,850
+لأن المركبات السينية مع بعض و المركبات الصادية
+
+63
+00:04:38,850 --> 00:04:42,970
+مع بعض تم .. إذا الـ chapter الأول كنا ناخد vectors
+
+64
+00:04:42,970 --> 00:04:46,330
+مجردين A و B الآن الـ vectors لهم معنى displacement
+
+65
+00:04:46,330 --> 00:04:50,170
+أو velocity أو acceleration أو force الآن هذه بدل
+
+66
+00:04:50,170 --> 00:04:54,970
+من أقول A بدي أقول R عادي تغيير رمز مش أكثر بقول R
+
+67
+00:04:54,970 --> 00:04:59,070
+final minus R initial إيش بتسوي المركبات السينية
+
+68
+00:04:59,070 --> 00:05:04,470
+مع بعض والمركبات الصادية مع بعض تمام؟ قال لي هذه
+
+69
+00:05:04,470 --> 00:05:11,850
+بتقدر تقول عنها Delta X صح؟ و هذي Delta Y تمام؟
+
+70
+00:05:11,850 --> 00:05:18,090
+طبعًا هذه هي كرسمة Delta Xi زي Delta Yj تمام، إذا
+
+71
+00:05:18,090 --> 00:05:23,230
+الـ Delta صارت دلتين وكأنه دلتا سينية ودلتا صادية
+
+72
+00:05:23,230 --> 00:05:28,330
+الإزاحة إزاحتين، إزاحة سينية وإزاحة صادية، تمام؟
+
+73
+00:05:28,330 --> 00:05:34,050
+لأنه كل vector له مركبتين وكأنه انقسّم إلى جزءين،
+
+74
+00:05:34,050 --> 00:05:39,750
+جزء سيني وجزء صادي، فالآن Delta R عبارة عن Delta X
+
+75
+00:05:39,750 --> 00:05:43,530
+وهي المركبة السينية للإزاحة زي الـ Delta Y وهي
+
+76
+00:05:43,530 --> 00:05:48,920
+المركبة الصادية للإزاحة، تمام؟ الآن الـ Average
+
+77
+00:05:48,920 --> 00:05:54,580
+Velocity سمعتوا فيها؟ معدل سرعة متوسطة قلنا إيش
+
+78
+00:05:54,580 --> 00:05:58,080
+بيساوي زمان؟ Delta X على Delta T الآن بدي أقول
+
+79
+00:05:58,080 --> 00:06:02,100
+عنها Delta R على Delta T، صح؟ لأن الإزاحة بطلت X،
+
+80
+00:06:02,100 --> 00:06:05,620
+صارت R، بيقول لي تعريف، فـ Delta R على Delta T، في
+
+81
+00:06:05,620 --> 00:06:08,780
+مشكلة؟ لأ، قال لي هادي Delta R من فترة كنتوا
+
+82
+00:06:08,780 --> 00:06:14,100
+بتبدّلوها دي، صح؟ عبارة عن Delta X على Delta T زي
+
+83
+00:06:14,100 --> 00:06:17,680
+Delta Y على Delta T لا تنسوا أن Delta T هو Scalar
+
+84
+00:06:17,680 --> 00:06:21,060
+وعندما أضرب Scalar في الـ Vector أضربه في كل
+
+85
+00:06:21,060 --> 00:06:25,200
+المركبات فهذه الواحدة على Delta T تدخل على
+
+86
+00:06:25,200 --> 00:06:29,620
+المركبة السينية وتدخل على المركبة الصادية هجيب
+
+87
+00:06:29,620 --> 00:06:30,420
+تطلعوني على هذه
+
+88
+00:06:33,540 --> 00:06:36,460
+هذه average velocity اللي أخدناها في الشطر الثاني،
+
+89
+00:06:36,460 --> 00:06:40,240
+مظبوط؟ بس إيه؟ سينية، هذي إيش اللي اتغير فيها؟
+
+90
+00:06:40,240 --> 00:06:44,380
+جالب الـ X صار طوال، بيخليها صغيرة، فصارت الـ
+
+91
+00:06:44,380 --> 00:06:47,800
+average velocity، الـ velocity vector ولا scalar؟
+
+92
+00:06:49,820 --> 00:06:52,680
+يعني إيه مُركّبة ثانية ولا لا؟ فهذه الـ Average
+
+93
+00:06:52,680 --> 00:06:55,980
+Velocity لها مُركّبة سينية ومُركّبة صادية، لا شيء
+
+94
+00:06:55,980 --> 00:06:59,540
+جديد ولا حاجة جديدة، بس مجرد الشغل اللي بعملها
+
+95
+00:06:59,540 --> 00:07:03,200
+مرة، بدي أعملها مرتين، مرة للسيني ومرة للصادي،
+
+96
+00:07:03,200 --> 00:07:07,000
+ما فيش شيء جديد، فالـ V Average بيساوي الـ V
+
+97
+00:07:07,000 --> 00:07:10,920
+Average السيني زي الـ V Average الصادي، مش أكثر
+
+98
+00:07:10,920 --> 00:07:15,660
+أحكي،
+
+99
+00:07:15,660 --> 00:07:18,100
+إذا موجود الـ Time، تبقى سنة، إيش عنوان، إيش سبته؟
+
+100
+00:07:19,090 --> 00:07:21,750
+توم .. توم .. أما هو من الأصل فيه بس احنا مش
+
+101
+00:07:21,750 --> 00:07:24,370
+معنيين فيه اليوم لأن عنواننا بس مقيد لـ two
+
+102
+00:07:24,370 --> 00:07:29,370
+components بس تمام طيب .. قال لي أنت خدت برضه
+
+103
+00:07:29,370 --> 00:07:32,190
+الشابتر الماضي بعد الـ average velocity الـ
+
+104
+00:07:32,190 --> 00:07:35,330
+instantaneous velocity اللي قلنا الـ limit لما
+
+105
+00:07:35,330 --> 00:07:38,750
+الفترة الزمنية بتقول إلى اللحظة و بيصير هذا
+
+106
+00:07:38,750 --> 00:07:42,530
+معناه مشتقّة حاجة بالنسبة للزمن اللي هي الإزاحة
+
+107
+00:07:42,530 --> 00:07:48,690
+فقال لي V instantaneous بدون الإشارة بيساوي الأن مشتقّة
+
+108
+00:07:48,690 --> 00:07:53,230
+الـ الإزاحة بالنسبة للزمن إزاحة R وهذه R اتفقنا
+
+109
+00:07:53,230 --> 00:07:58,190
+عبارة عن X باتجاه I زي Y باتجاه J لأن R لها
+
+110
+00:07:58,190 --> 00:08:07,210
+مركبتين كـ vector بيساوي X I زي Y J أعملها اشطب بقول
+
+111
+00:08:07,210 --> 00:08:12,290
+بدّاش تقها دي؟ بدّاش تقها دي؟ بتساوي DX على DT و DY
+
+112
+00:08:12,290 --> 00:08:17,630
+على DT تمام ولا لأ؟ طيب هذه إيش هي؟ قال هذه مشتقة
+
+113
+00:08:17,630 --> 00:08:24,270
+الإزاحة السينية بالنسبة للزمن سرعة سينية هذه مشتقة
+
+114
+00:08:24,270 --> 00:08:28,510
+الإزاحة الصادية بالنسبة للزمن سرعة صادية فكتبنا
+
+115
+00:08:28,510 --> 00:08:32,310
+السرعة السينية بيقول عنها VX والسرعة الصادية بيقول
+
+116
+00:08:32,310 --> 00:08:36,830
+عنها VY ما هي سرعة سرعة متوسطة ولا لحظية زي ما
+
+117
+00:08:36,830 --> 00:08:40,290
+السرعة المتوسطة لها مُركّبة سينية و مُركّبة صادية
+
+118
+00:08:40,290 --> 00:08:45,370
+السرعة اللحظية لها مُركّبة سينية و مُركّبة صادية تم
+
+119
+00:08:45,370 --> 00:08:48,510
+.. جالي طيب الـ acceleration vector ولا مش vector؟
+
+120
+00:08:49,380 --> 00:08:53,880
+إذا برضه مُركّبة تيه؟ سيني و صادي الـ Average و الـ
+
+121
+00:08:53,880 --> 00:08:57,560
+Instantaneous بيكونوا مشابهين بنفس الكيفية من دون
+
+122
+00:08:57,560 --> 00:09:02,900
+أن ندخل في التفاصيل العملية سهلة جدًّا الـ Average و
+
+123
+00:09:02,900 --> 00:09:07,060
+الـ Instantaneous الـ Acceleration التسارع اللحظي
+
+124
+00:09:07,060 --> 00:09:14,220
+والتسارع المتوسط are now defined as الـ A Delta V
+
+125
+00:09:14,220 --> 00:09:20,370
+على Delta T والـ V الآن عبارة عن إيش؟ مُركّبة T فقلت
+
+126
+00:09:20,370 --> 00:09:25,470
+VX على Delta T Delta VY على Delta T هذه هي الـ
+
+127
+00:09:25,470 --> 00:09:28,670
+Acceleration السينية كـ Average وهذه الـ
+
+128
+00:09:28,670 --> 00:09:31,190
+Acceleration الصادية إذا برضه الـ Acceleration
+
+129
+00:09:31,190 --> 00:09:36,950
+المتوسطة انقسمت إلى سيني وصادي، فهي مشكلة؟ تمام؟
+
+130
+00:09:36,950 --> 00:09:40,190
+إذا احنا ما بنجيبش حاجة جديدة بس بنكرّر الشغلة بدل
+
+131
+00:09:40,190 --> 00:09:44,550
+من واحدة، بنعملها شغلتين، سيني وصادي والـ
+
+132
+00:09:44,550 --> 00:09:48,110
+Instantaneous acceleration is the derivative of
+
+133
+00:09:48,110 --> 00:09:51,130
+velocity with respect to t و الـ velocity we have
+
+134
+00:09:51,130 --> 00:09:56,570
+two components هذه مشتقة التسارع السيني بالنسبة
+
+135
+00:09:56,570 --> 00:10:00,930
+للزمن بدّينا تسارع سيني و مشتقة التسارع الصادي
+
+136
+00:10:00,930 --> 00:10:04,410
+بالنسبة للزمن بدّينا تسارع صادي و في النهاية
+
+137
+00:10:04,410 --> 00:10:09,350
+التسارع انقسم إلى جسمين مُركّبة سينية و مُركّبة صادية
+
+138
+00:10:09,350 --> 00:10:15,260
+إذا إيش اللي جديد عندي؟ جالي كل كمية متجهة، vector
+
+139
+00:10:15,260 --> 00:10:19,540
+انقسمت لجسمين displacement عندك سيني وصادي velocity
+
+140
+00:10:19,540 --> 00:10:25,320
+سيني وصادي acceleration سيني وصادي الزمن لأ لأنها
+
+141
+00:10:25,320 --> 00:10:29,520
+Scalar Scalar في زمان سيني زمان صادي لأ لأن احنا
+
+142
+00:10:29,520 --> 00:10:33,160
+متعاملين مع Scalars إذا اللي بيقول لي والله كتلة في
+
+143
+00:10:33,160 --> 00:10:37,260
+كتلة سينية كتلة صادية لأ لأنه Scalar احنا بس بنحكي
+
+144
+00:10:37,260 --> 00:10:41,240
+على الـ vectors هو اللي بتحلل وإنه مركبات والـ
+
+145
+00:10:41,240 --> 00:10:44,620
+vectors اللي حتى الآن مروا علينا displacement،
+
+146
+00:10:44,620 --> 00:10:50,340
+velocity، acceleration أما الـ T هو الـ time is a
+
+147
+00:10:50,340 --> 00:10:56,790
+scalar quantity ما فيش عندي ت سيني و ت صادي تمام؟
+
+148
+00:10:56,790 --> 00:11:04,320
+حلو it is clear that بعد ما اشتغلنا هالكلمتين The
+
+149
+00:11:04,320 --> 00:11:08,380
+planar motion حركة مستوية بدون بصيط ليها can be
+
+150
+00:11:08,380 --> 00:11:11,540
+considered as a vector sum of two perpendicular
+
+151
+00:11:11,540 --> 00:11:17,700
+motions هو عبارة عن حركتين وكأنه حركة two
+
+152
+00:11:17,700 --> 00:11:20,760
+perpendicular planar motions حركتين خطيتين along
+
+153
+00:11:20,760 --> 00:11:23,360
+one along the x-axis and the other along the y
+
+154
+00:11:23,360 --> 00:11:26,980
+-axis معناه كل سؤال عبارة عن سؤال إيه مش شابِط
+
+155
+00:11:26,980 --> 00:11:30,930
+للماضي؟ كل سؤال عبارة عن سؤال يلمس شطر الماضي سؤال
+
+156
+00:11:30,930 --> 00:11:35,910
+سيني سؤال صادي بس ما فيش شيء جديد بطول شوية في
+
+157
+00:11:35,910 --> 00:11:39,830
+الحال بيمشي نقدر عليه تمام أما ما فيش حاجة جديدة
+
+158
+00:11:39,830 --> 00:11:43,750
+عندك بس مجرد السؤال لو قعدت بفرجكم كيف بنحل بقسم
+
+159
+00:11:43,750 --> 00:11:46,150
+نصين بقول هاي السيني و هاي الصادي هاي المعطيات
+
+160
+00:11:46,150 --> 00:11:49,710
+السينية و هاي المعطيات الصادية بشوف إيش بدو اللي
+
+161
+00:11:49,710 --> 00:11:52,590
+بدو يا إذا صادي بروح على الصادي بدو حاجة سينية
+
+162
+00:11:52,590 --> 00:11:55,850
+بروح على السيني بدو زمان أنا حر ما فيش زمان سيني
+
+163
+00:11:55,850 --> 00:12:00,720
+زمان صادي فهمتوا عليّ؟ وبالتالي العملية بيصير سهلة،
+
+164
+00:12:00,720 --> 00:12:05,760
+إذا شطرنا هذا هو شبيه بالشطر الماضي تمامًا، ما فيش
+
+165
+00:12:05,760 --> 00:12:08,760
+.. عندي معلومة فيزيائية جديدة، في عندي تكنيك
+
+166
+00:12:08,760 --> 00:12:12,760
+جديد، آه، لكن معلومات ما فيشش، نفس تكرار و
+
+167
+00:12:12,760 --> 00:12:18,440
+duplicated، يعني مقررة، مجرد سيني وصادي، مش أكثر،
+
+168
+00:12:18,440 --> 00:12:24,280
+نشوف كيف الأسئلة بتيجي بيقول الـ coordinates of a
+
+169
+00:12:24,280 --> 00:12:28,240
+particle moving in the xy plane هاي الجسم بتحرك في
+
+170
+00:12:28,240 --> 00:12:32,800
+الـ xy plane يعني planar motion are given as a
+
+171
+00:12:32,800 --> 00:12:35,960
+function of time by .. طلعوا كيف الـ R ما ادانيش x
+
+172
+00:12:35,960 --> 00:12:41,400
+زي المرة هديك، معادلة و قال لي TTI زي التسعتاش نقص
+
+173
+00:12:41,400 --> 00:12:47,120
+T اتنين T تربيع J هجيب الـ R هذه، هي كان مُركّبة
+
+174
+00:12:47,120 --> 00:12:55,930
+إليها، من يقول يجدش X؟ إذا معناه ها X بتساوي 2T طب
+
+175
+00:12:55,930 --> 00:13:02,98
+
+216
+00:16:12,500 --> 00:16:16,580
+جالي هيك تمام. طب أنا مش طالبك لما أنت طلعت
+
+217
+00:16:16,580 --> 00:16:19,020
+المقلوب، جالك أو جدي الـ average felicity، لا
+
+218
+00:16:19,020 --> 00:16:21,740
+جالك الصينية ولا الصادية، إيش تسوي؟ جالي هيك،
+
+219
+00:16:21,740 --> 00:16:26,620
+سهلة، الصينية بحط جنبها ك والصادية بحط جنب هذه،
+
+220
+00:16:26,620 --> 00:16:31,210
+بجمعهم، هيك أو اتنين هذي السينية اللي دائماً بحطه
+
+221
+00:16:31,210 --> 00:16:34,310
+عليها أول هذي سالب أربعة سالب أربعة و بحط meter
+
+222
+00:16:34,310 --> 00:16:37,530
+per second هنا إذا مش محتوطة مش محتوطة بحط meter
+
+223
+00:16:37,530 --> 00:16:44,690
+per second الوحدة تبعتي خلاص السؤال المطلوب الأول
+
+224
+00:16:44,690 --> 00:16:49,320
+خلّنا نقول في أي استفسار لحد الآن؟ تبع، إذن لما يطبّل
+
+225
+00:16:49,320 --> 00:16:53,420
+الشغل .. بقى داني ما يذكر مزال طلبها displacement
+
+226
+00:16:53,420 --> 00:16:56,500
+أو velocity أو acceleration أعلى في الدنيا إلها
+
+227
+00:16:56,500 --> 00:16:59,680
+مركبتين ولازم أكتبهم .. أجيبهم وبعدين أكتبهم
+
+228
+00:16:59,680 --> 00:17:04,280
+جامب بعض الآن for the instantaneous velocity we
+
+229
+00:17:04,280 --> 00:17:08,340
+have .. ارجع قال لي هذا هم عيّتناهم صح؟ الـ X والـ Y
+
+230
+00:17:08,340 --> 00:17:14,030
+قال لي بدك الـ instantaneous velocity أشطف قال
+
+231
+00:17:14,030 --> 00:17:17,150
+Instantaneous Velocity الصينية اشتقاق الـ X من
+
+232
+00:17:17,150 --> 00:17:24,490
+اشتقاق؟ 2 أعوض بعد كده؟ ثابتة لأنه 2 عندي صفر ولا
+
+233
+00:17:24,490 --> 00:17:29,630
+دي 100 ولا دي 2 كلها 1 جالي دي DX بتساوي DX على
+
+234
+00:17:29,630 --> 00:17:34,210
+DT وبتساوي 2 متر per second which is constant لا
+
+235
+00:17:34,210 --> 00:17:37,370
+تعتمد على الزمن لو اعتمدت على الزمن بعوض مع حالتي
+
+236
+00:17:37,370 --> 00:17:43,540
+2 لكن ما فيش زمن ريحني أه، ضايل ماشي الأمور؟ سهلة
+
+237
+00:17:43,540 --> 00:17:47,440
+تمام جالي الـ dy برضه اشتقاق إيش اشتقاق خالد 9
+
+238
+00:17:47,440 --> 00:17:53,240
+عشر؟ صفر صفر ناقص 4 T هنا مستثناة بدي أعوض
+
+239
+00:17:53,240 --> 00:17:57,540
+محي T بـ 2 لإنه جالي أوجد السرعة اللحظية الـ T
+
+240
+00:17:57,540 --> 00:18:01,840
+بيساوي 2 second إذا أنتِ أعطاني إياها ف ناقص 4
+
+241
+00:18:01,840 --> 00:18:06,300
+في 2 ناقص 8 متر per second جالي هذه
+
+242
+00:18:06,300 --> 00:18:10,340
+السرعة اللحظية السينية والصادية الكلية بطّل جنب
+
+243
+00:18:10,340 --> 00:18:15,650
+عيطر صحيح ولا لأ؟ التانية حطينا جنبها I والسالية
+
+244
+00:18:15,650 --> 00:18:18,870
+8 حطينا جنبها J كمان مرة بنستنى، في أي
+
+245
+00:18:18,870 --> 00:18:22,210
+استفسار؟ طيب الحمد لله، بدنا الـ acceleration
+
+246
+00:18:22,210 --> 00:18:30,090
+اللحظة، مش المتوسط for the .. أشتق كمان مرة أو
+
+247
+00:18:30,090 --> 00:18:36,390
+أشتق السرعة هاجي يقول لي هاي هادي .. تمام برعة لما
+
+248
+00:18:36,390 --> 00:18:40,050
+قاعدي بدي أجي جالي أشتقت هدي و طلعت 2 كمان مرة
+
+249
+00:18:40,050 --> 00:18:46,460
+أشتق؟ ZeroEx شقّاق مرتين طلع الـ Zero هذه لما
+
+250
+00:18:46,460 --> 00:18:50,740
+اشتققتها طلعت ناقص 4 يشتقك مرة ناقص 4 يا
+
+251
+00:18:50,740 --> 00:18:54,580
+وردي مثلها هالكم شاطرين كلكم طب جمّعهم جالي أني
+
+252
+00:18:54,580 --> 00:19:05,480
+جمعتهم ولا حصل في الـ I بقير تمام في أي صفة؟ ويا
+
+253
+00:19:05,480 --> 00:19:13,660
+ستي هي موجودة تمام ليش الكمبيوتر كده؟ بصي مش عاوز،
+
+254
+00:19:13,660 --> 00:19:19,620
+تمام، سهلة بس يعني بتعمليها، فبالتالي الديجة اللي
+
+255
+00:19:19,620 --> 00:19:22,920
+بنشتري عليها في هذا الـ chapter مأم كان ذلك أن كل
+
+256
+00:19:22,920 --> 00:19:26,640
+سؤال بنقسمه لصين، سيني وصادي، وبالتالي المعطيات
+
+257
+00:19:26,640 --> 00:19:30,720
+بنقسمها، المطاليب بنعرفها سينية أو صادية، مطلوب
+
+258
+00:19:30,720 --> 00:19:34,620
+كامل بيجيب الصيني والصادي و بنجملهم مع بعض وبنشتغل
+
+259
+00:19:34,620 --> 00:19:37,860
+هذا اللي بننأسس له وبالتالي بيبطل في عينكم معلومة
+
+260
+00:19:37,860 --> 00:19:41,620
+جديدة هتيجيكوا في كل تقريباً الـ chapter اللي هي
+
+261
+00:19:41,620 --> 00:19:44,480
+الحركة الدورانية هنشوف كيف نتعامل معاها لأن
+
+262
+00:19:44,480 --> 00:19:48,500
+تقسيمها هيغلبنا فبالتالي هنلاقي لنا طريقة أسهل في
+
+263
+00:19:48,500 --> 00:19:54,840
+التعامل مع الحركة الدورانية دكتور هي سكن تربية صح؟
+
+264
+00:19:54,840 --> 00:20:01,290
+صحيح كلامكم ممتازة الوحدة meter per second squared
+
+265
+00:20:01,290 --> 00:20:06,370
+هذه كلام دقيق صحيح خطأ مطبعي أنا حاطط التربيع هنا
+
+266
+00:20:06,370 --> 00:20:13,250
+طلعت عينيها ولا ما لاقيتهاش فقَرَطت أنتَجلت تمام بدأت
+
+267
+00:20:13,250 --> 00:20:17,930
+تعديل عندي تمام المهم اللي بينا عليه لكم أن عملت
+
+268
+00:20:17,930 --> 00:20:25,700
+مش مشكلة تمّع بتنقليها بالغيرك بقيتها الحمد لله طيب،
+
+269
+00:20:25,700 --> 00:20:30,520
+جالي مزال هي تعاملك بتقسم لي كل حركة إلى نصين؟ هذه
+
+270
+00:20:30,520 --> 00:20:35,420
+أسهل، هتقول لو كانت ثابتة إيه؟ هل في مجال إن أحد
+
+271
+00:20:35,420 --> 00:20:44,460
+المركبات يكون متغير؟ vector ثابت، أي vector مش هو
+
+272
+00:20:44,460 --> 00:20:49,220
+AxI ذات AyJ إذا قلت هذا ثابت، في مجال هذا يكون
+
+273
+00:20:49,220 --> 00:20:54,060
+متغير؟ أو هذا مستحيل لأن إذا واحد اتغيرت كله بتغير
+
+274
+00:20:54,060 --> 00:20:59,620
+بيقول if E is constant التسارع ثابت معناته المركبة
+
+275
+00:20:59,620 --> 00:21:04,140
+الصينية ثابتة والمركبة الصينية ثابتة ليش بيقول
+
+276
+00:21:04,140 --> 00:21:07,500
+هيك؟ قال لي أه ما تأدبتني في الشطر الماضي اللي هو
+
+277
+00:21:07,500 --> 00:21:12,180
+لما يكون التسارع ثابت فيه تلات معادلات صحيحة، لا
+
+278
+00:21:12,180 --> 00:21:14,400
+أريد أن أشتقها من أولادي، لا أريد أن أشتقها من
+
+279
+00:21:14,400 --> 00:21:14,880
+أولادي، لا أريد أن أشتقها من أولادي، لا أريد أن
+
+280
+00:21:14,880 --> 00:21:16,040
+أشتقها من أولادي، لا أريد أن أشتقها من أولادي، لا
+
+281
+00:21:16,040 --> 00:21:16,900
+أريد أن أشتقها من أولادي، لا أريد أن أشتقها من
+
+282
+00:21:16,900 --> 00:21:17,260
+أولادي، لا أريد أن أشتقها من أولادي، لا أريد أن
+
+283
+00:21:17,260 --> 00:21:21,820
+أشتقها من أولادي، لا أريد أن أشتقها من أولادي، لا
+
+284
+00:21:21,820 --> 00:21:26,140
+أريد أن أشتقها من أولادي، لا أريد أن أشتقها من
+
+285
+00:21:26,140 --> 00:21:32,500
+أولادي، لا أريد أن أشتقها من أولادي،
+
+286
+00:21:32,500 --> 00:21:36,060
+لا أريد أن أشتقها
+
+287
+00:21:40,570 --> 00:21:46,830
+V بيساوي V0 زي AT صح نفسها إيه الشرطة دي التسارع
+
+288
+00:21:46,830 --> 00:21:50,250
+ثابت هي التسارع ثابت بس هنا عشان في عندي سرعتين
+
+289
+00:21:50,250 --> 00:21:53,630
+بدي أميز بينها وبينها أحط هنا X وهنا السرعة
+
+290
+00:21:53,630 --> 00:21:58,010
+التدائية أقول الصينية وهذا التسارع الصيني الزمن
+
+291
+00:21:58,010 --> 00:22:03,190
+بيبقى زمن ما فيش مشكلة القرن التاني الصادق نفسه
+
+292
+00:22:03,190 --> 00:22:12,200
+تمام هذا شفته واشتقناها مع بعض تمام بكتب بس بيبدل ال
+
+293
+00:22:12,200 --> 00:22:17,680
+scene صعب وهذا كتبته وهذا كتبته خالص إذا نفس
+
+294
+00:22:17,680 --> 00:22:20,740
+المعادلات مداش تدخل فيها بشرط أن الـ acceleration
+
+295
+00:22:20,740 --> 00:22:28,160
+تكون constant في أي حد بدي أسأل؟ تمام في أي استفسار؟
+
+296
+00:22:29,370 --> 00:22:33,810
+إذا الحركة المستوية هي حركتين واحدة سينية واحدة
+
+297
+00:22:33,810 --> 00:22:39,050
+صادية اتنين متعاملتين تصيروا كإنها سؤالين حركة
+
+298
+00:22:39,050 --> 00:22:47,570
+خطية مش أكثر ثم .. إيش أشهر تطبيق للحركة المستوية
+
+299
+00:22:47,570 --> 00:22:51,570
+هو الـ projectile motion حركة المقذوفة؟ أخذتو
+
+300
+00:22:51,570 --> 00:22:56,330
+السقوط الحر؟ مش أخذناه؟ مع بعض؟ إيش عرفنا السقوط
+
+301
+00:22:56,330 --> 00:23:02,280
+الحر؟ تحت تأثير إيش بيأثر؟ جاذبية .. جاذبية ..
+
+302
+00:23:02,280 --> 00:23:06,620
+جاذبية
+
+303
+00:23:06,620 --> 00:23:10,300
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جاذبية
+
+304
+00:23:10,300 --> 00:23:10,380
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جاذبية
+
+305
+00:23:10,380 --> 00:23:10,660
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جاذبية
+
+306
+00:23:10,660 --> 00:23:16,050
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جاذبية إن جسم
+
+307
+00:23:16,050 --> 00:23:21,110
+يقذف فقط تحت
+
+308
+00:23:21,110 --> 00:23:26,590
+تأثير الجاذبية العرضية والسقوط الحُرّي يقذف ويمشي
+
+309
+00:23:26,590 --> 00:23:30,970
+تحت تأثير الجاذبية العرضية ما هو الفرق بينهم؟
+
+310
+00:23:30,970 --> 00:23:37,170
+فالفرق بسيط أن التسارع الابتدائي في السقوط الحرّي
+
+311
+00:23:37,170 --> 00:23:41,970
+يجب أن يكون عمودي لا فوق ولا تحت في الـ projectile
+
+312
+00:23:41,970 --> 00:23:45,930
+motion يجب أن يكون أعمل زاوية لازم يكون للسرعة
+
+313
+00:23:45,930 --> 00:23:50,270
+الابتدائية مُركّبة سينية للسرعة الابتدائية يجب أن
+
+314
+00:23:50,270 --> 00:23:52,970
+يكون هناك مُركّبة سينية هذه المُركّبة السينية
+
+315
+00:23:52,970 --> 00:23:56,950
+جدّيش مقدارها ليس مهم تمام؟ بالتالي عشان كده
+
+316
+00:23:56,950 --> 00:24:00,990
+يقولون كل سقوط حُر هو projectile motion ليش؟
+
+317
+00:24:00,990 --> 00:24:06,790
+يقولون بس مجرد أن هذه مُركّبتها السينية صفر موجودة بس
+
+318
+00:24:06,790 --> 00:24:13,470
+تمتها صفر صار سقوط حُرّ احكيلأ أنت بتقصفيه و
+
+319
+00:24:13,470 --> 00:24:16,370
+بتفلتيه أنت بتدرسيه بعد القذف يعني أنا هذا الجلم
+
+320
+00:24:16,370 --> 00:24:21,110
+بدي أرميه إيدي بتضل معاه؟ خلاص انسى إيديك
+
+321
+00:24:21,110 --> 00:24:25,570
+اتمثلت بالصّوغة التدائية اللي أخذها منك بعد كده
+
+322
+00:24:25,570 --> 00:24:28,370
+ما عادش دعوة واللي بيبقى لا projectile motion ولا
+
+323
+00:24:28,370 --> 00:24:32,110
+سقوط حر أنا ما عادش أرمى الجلة من الارتفاع لحاله ولا
+
+324
+00:24:32,110 --> 00:24:35,330
+حد رماه حد رماه بس ما فلتوش ما عادش دعوة كيف رماه
+
+325
+00:24:35,330 --> 00:24:39,750
+المهم اكتسب سرعة ابتدائية بس فبالتالي القوة اللي
+
+326
+00:24:39,750 --> 00:24:42,950
+قضت فيها ما عادش دعوة في الحركة لأن أنا بدرس بعد
+
+327
+00:24:42,950 --> 00:24:50,250
+القذف غيره تمام بيقول لي if a particle given an
+
+328
+00:24:50,250 --> 00:24:54,170
+initial velocity اتدته سرعة ابتدائية وبس كيف اتدته
+
+329
+00:24:54,170 --> 00:24:59,850
+إياها ما حدد دعوة ضربه شلوت باليد بمدفع بأي حاجة
+
+330
+00:24:59,850 --> 00:25:03,710
+ما مش مشكلة المهم أخذ سرعة ابتدائية and then
+
+331
+00:25:03,710 --> 00:25:07,610
+follows a path determined only by gravity وبعدين
+
+332
+00:25:07,610 --> 00:25:14,530
+التسارع اللي أخذه فقط بحدده الجاذبية الأرضية تمامًا
+
+333
+00:25:14,530 --> 00:25:17,590
+بيقول في هذه الحالة .. بيقول أن احنا عندنا we have
+
+334
+00:25:17,590 --> 00:25:22,470
+a projectile motion حركة مقذوفة تمام بيقول لي طيب
+
+335
+00:25:22,470 --> 00:25:27,090
+مازال هذا التعريف هو نفسه قال لي أنت قلت لي هذه
+
+336
+00:25:27,090 --> 00:25:33,050
+planar motion بيقسمها نصين صح سينية وصادية بيبني
+
+337
+00:25:33,050 --> 00:25:37,120
+نبدأ بالشغل اللي أنا عارفه اللي هي جاذبية الأرض صح
+
+338
+00:25:37,120 --> 00:25:42,560
+مش acceleration هي مش vector، بدي أقسمها سيني وصادي،
+
+339
+00:25:42,560 --> 00:25:46,620
+مين يقول لي كيف اتجاهها أول؟ لأسفل، قدّيش مركبتها
+
+340
+00:25:46,620 --> 00:25:51,980
+السينية؟ صفر، خمسوانت تشتغل على هذا الأساس بيقول
+
+341
+00:25:51,980 --> 00:25:55,060
+as the acceleration of gravity is always straight
+
+342
+00:25:55,060 --> 00:25:59,380
+downward يعني صادية إلى أسفل تمام with magnitude
+
+343
+00:25:59,380 --> 00:26:03,280
+of g the acceleration of a particle is always
+
+344
+00:26:03,280 --> 00:26:09,140
+given as a minus gj وين الـ I؟ صح ولا لأ؟ و ليش
+
+345
+00:26:09,140 --> 00:26:13,720
+الناقص؟ عشانها لأسفل طب من هذه المعادلة يلّا
+
+346
+00:26:13,720 --> 00:26:22,010
+الـ المركبة السينية تجددش يعني Ax كده؟ صفر و Ay سالب G
+
+347
+00:26:22,010 --> 00:26:26,570
+إذا this means that الحركة البروجيكتية يمكن أن تكون
+
+348
+00:26:26,570 --> 00:26:31,150
+تعتبر كـ Vector sum of vertical motion with
+
+349
+00:26:31,150 --> 00:26:36,610
+acceleration نقج G وطبعاً إشارة السلب بيقول لي ليش؟
+
+350
+00:26:36,610 --> 00:26:39,010
+الـ positive sense is taken upward زي ما احنا
+
+351
+00:26:39,010 --> 00:26:45,270
+متعودين تمام وحركة عضوية with قداش Ax بعدها؟ Zero
+
+352
+00:26:45,270 --> 00:26:49,950
+يعني constant velocity مازال الـ acceleration صفر،
+
+353
+00:26:49,950 --> 00:26:54,150
+إذا السرعة السينية ثابتة، ما تتغير، ما فيش حد
+
+354
+00:26:54,150 --> 00:26:59,070
+يغيرها، ما هو ما حد بيغيرها إلا acceleration، لأن
+
+355
+00:26:59,070 --> 00:27:02,510
+الـ acceleration إيش تعريفه؟ معدل تغير سرعة
+
+356
+00:27:02,510 --> 00:27:06,230
+بالنسبة للزمن، في acceleration في تغير في السرعة،
+
+357
+00:27:06,230 --> 00:27:09,390
+ما فيش acceleration، السرعة ما تتغيرش، لأن هو اللي
+
+358
+00:27:09,390 --> 00:27:12,770
+بيجيب التغير هو الـ acceleration، ما زال صفر إذا
+
+359
+00:27:12,770 --> 00:27:17,650
+ما فيش تغير، يعني constant، تمام؟ The formulas that
+
+360
+00:27:17,650 --> 00:27:20,690
+govern the motion of a projectile is then .. بيقول
+
+361
+00:27:20,690 --> 00:27:26,750
+ليه؟ ابدأ اشتغل Horizontal motion، كم تسارعه؟
+
+362
+00:27:26,750 --> 00:27:30,570
+Zero و Vertical motion، هدا هي ذكية التلات
+
+363
+00:27:30,570 --> 00:27:38,410
+معادلات، بدنا نشتغلهم من أول ودي، هدا هما هنا
+
+364
+00:27:38,410 --> 00:27:43,290
+كان في عندي قانون بيقول Vx لسه V not X plus Ax في
+
+365
+00:27:43,290 --> 00:27:46,980
+الـ P صحية يا بنات ولا لأ؟ إيش بتعملي في الـ A X هل
+
+366
+00:27:46,980 --> 00:27:53,140
+جيتِ؟ صفر صفر معناه صفر هذا الـ term روح إيش معناه
+
+367
+00:27:53,140 --> 00:27:57,820
+هذه السرعة الابتدائية بتساوي السرعة النهائية يعني
+
+368
+00:27:57,820 --> 00:28:01,660
+السرعة بتتغير؟ ما تقولوا حكاية أنها ثابتة شغلها
+
+369
+00:28:01,660 --> 00:28:05,240
+منطقية إذا هذا ما جاب ليش معلومة ما استفدتش منه أنا
+
+370
+00:28:05,240 --> 00:28:08,120
+عارفها يقول لي السرعة ثابتة يعني السرعة السينية
+
+371
+00:28:08,120 --> 00:28:14,380
+بتساوي السرعة الابتدائية القرن اللي تاني جالي X بساوة
+
+372
+00:28:14,380 --> 00:28:20,080
+V0 XT زي أد نص A XT تربيعها صح ولا لأ؟ في الجدول
+
+373
+00:28:20,080 --> 00:28:26,740
+اللي جاب له مكتوب عنكم إيش بده يحط محل هذه؟ بس وهذه
+
+374
+00:28:26,740 --> 00:28:28,380
+يا عزيزي مثال هذا القانون اللي أخذناه في
+
+375
+00:28:28,380 --> 00:28:31,900
+الابتدائية المسافة بساوة التسارع في الزمن وهذا
+
+376
+00:28:31,900 --> 00:28:35,340
+وقت بيكون صحيح لما يكون التسارع ثابتة وهي التسارع
+
+377
+00:28:35,340 --> 00:28:39,540
+ثابتة طبعاً هذه جيتنا بنجعلها هذه خلّنا X بساوة V0
+
+378
+00:28:39,540 --> 00:28:46,450
+XT تمام؟ طب التالت كل التالت اللي بعرفه أنا V تربيع
+
+379
+00:28:46,450 --> 00:28:53,590
+بيساوي V not X تربيع plus 2AX في X مظبوط ولا لا؟
+
+380
+00:28:53,590 --> 00:28:59,710
+هذا يجمله بروح بيصير هذا ونفسه هذا ونفسه هذا يعني
+
+381
+00:28:59,710 --> 00:29:04,670
+هذا التأكيد للمعلومة الأولى أن السرعة ثابتة صحيح
+
+382
+00:29:04,670 --> 00:29:10,520
+ولا لا؟ هنا جالي يجيب لي الـ A Y ويحط محلّها سالب G
+
+383
+00:29:10,520 --> 00:29:16,340
+صح ولا لأ؟ هذه هي نفسها وهذه نفسها اطلعوا عليها
+
+384
+00:29:16,340 --> 00:29
+
+431
+00:32:59,870 --> 00:33:03,330
+توجيهي بس هتخطوها قطرة ناقص أظن أنها مكافئة مكافئة
+
+432
+00:33:03,330 --> 00:33:09,370
+هذا؟ اه الناقص هو الـ ellipse المهم تمام فهتاخدوها
+
+433
+00:33:09,370 --> 00:33:13,590
+مش مهم هذه بس عشان اتبين أن الرسم هذه حتى رياضيا
+
+434
+00:33:13,590 --> 00:33:17,770
+بثبتها الكيف تبعها حتى رياضيا ممكن نثبتها لكن مش
+
+435
+00:33:17,770 --> 00:33:22,000
+مهمة كتير تمام هذه الصورة الابتدائية طبعا هيها سرعة
+
+436
+00:33:22,000 --> 00:33:24,820
+ابتدائية إلها مركبة سنية ولا مركبة صادية ولا لأ؟
+
+437
+00:33:24,820 --> 00:33:28,540
+تمام ومن ضالنا مياشي هنا بسمي أقصى الارتفاع ولا لأ
+
+438
+00:33:28,540 --> 00:33:31,540
+لأن بعد كده بيبدأ ينزل فهذه المسافة بسميها أقصى
+
+439
+00:33:31,540 --> 00:33:35,220
+الارتفاع يا بنات اتش ماكسيموم سرعة في اكس سرعة ساتس
+
+440
+00:33:35,220 --> 00:33:40,800
+طيب خليكي أنت منيح اللي حكيتي عن الكلمة هذه حلو
+
+441
+00:33:40,800 --> 00:33:43,860
+سنة شوية السرعة
+
+442
+00:33:45,940 --> 00:33:53,060
+عشان تكون السفر مركبتيها سفر، بس الصادية سفر، بس
+
+443
+00:33:53,060 --> 00:33:56,920
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+444
+00:33:56,920 --> 00:33:57,240
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+445
+00:33:57,240 --> 00:33:57,920
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+446
+00:33:57,920 --> 00:34:03,720
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+447
+00:34:03,720 --> 00:34:05,420
+الصادية سفر،
+
+448
+00:34:07,790 --> 00:34:14,150
+V0X لأن V0Y هو S في الـ VY و VX هي V0X فستجدون في
+
+449
+00:34:14,150 --> 00:34:18,490
+الـ quiz أن السرعة و أول جواب ستجدون Zero لأن اللي
+
+450
+00:34:18,490 --> 00:34:22,170
+يريد Y يجده اللي متعود عليه و لم يجلب نفسه يبحث
+
+451
+00:34:22,170 --> 00:34:26,090
+عليه سيجده Zero إذا السرعة عند أقصر ارتفاع ممنوع
+
+452
+00:34:26,090 --> 00:34:30,680
+تقول Zero سرعته الصاضية هي Zero تمام؟ لأنه هنا و هو
+
+453
+00:34:30,680 --> 00:34:34,460
+بيمشي بيكون عند هذه النقطة هيك لكن هنا هي سرعته
+
+454
+00:34:34,460 --> 00:34:37,740
+السرعة دايما مماس، مذاكرين ولا لا؟ وبالتالي شوفوا
+
+455
+00:34:37,740 --> 00:34:41,560
+عند النقطة هذه بيكون اللمس الأحمر اللي مركبتين لكن
+
+456
+00:34:41,560 --> 00:34:45,720
+عند أقصى ارتفاع مركبته فقط أفقيا، صح؟ وبالتالي إيش
+
+457
+00:34:45,720 --> 00:34:51,040
+معناته؟ أن السرعة الصاضية هي السفر فقط أما سرعته
+
+458
+00:34:51,040 --> 00:34:56,850
+ماهيجش سفر، تمام؟ طبعا، ما حصلت أنا؟ عند أقصر
+
+459
+00:34:56,850 --> 00:35:01,930
+ارتفاع؟ شو الصغير؟ الـY هذه المسافة بيسموها الـ
+
+460
+00:35:01,930 --> 00:35:08,590
+Range المدى تبع القضيفة المدى تمام؟ تم إذن عمليتنا
+
+461
+00:35:08,590 --> 00:35:14,690
+عملية سهلة ومافيش حاجة جديدة أخدناها إيش هذا؟
+
+462
+00:35:14,690 --> 00:35:21,370
+خليني نشوف هذا المثال الحلو الـ projectile is
+
+463
+00:35:21,370 --> 00:35:27,380
+fired fired يعني أطلقت is fired from point O من
+
+464
+00:35:27,380 --> 00:35:32,660
+نقطة الـ origin with initial speed V0 السرعة
+
+465
+00:35:32,660 --> 00:35:38,120
+الابتدائية V0 ما بتديش أخد عقاب that makes an angle
+
+466
+00:35:38,120 --> 00:35:41,980
+θ with the horizontal as shown in the figure قال لي
+
+467
+00:35:41,980 --> 00:35:48,120
+هاي الـ figure تبعتك اللي هو هذايسم، ضربته من نقطة
+
+468
+00:35:48,120 --> 00:35:52,460
+الأصل، بسرعة ابتدائية، بتعمل زاوية رمزها برنامج
+
+469
+00:35:52,460 --> 00:35:58,860
+ثيتا، تمام؟ وإيش بده؟ بنشوف Find the maximum
+
+470
+00:35:58,860 --> 00:36:03,380
+height، بدي أقصى ارتفاع، طب أقصى ارتفاع سيني ولا
+
+471
+00:36:03,380 --> 00:36:06,340
+صاضي؟ صاضي، إذا بدنا نروح على المعادلة الصادية، دي
+
+472
+00:36:06,340 --> 00:36:10,520
+بالكم، حلو؟ Find the horizontal range، الـ range
+
+473
+00:36:10,520 --> 00:36:12,700
+سيني ولا صاضي؟ سيني، إذا بدنا نروح على المعادلة
+
+474
+00:36:12,700 --> 00:36:16,630
+السينية، وكم معادلة هما؟ واحدة .. واحدة .. الـ TNT
+
+475
+00:36:16,630 --> 00:36:22,130
+هذاك مكرريني معلومة سئلة العملية solution بقولي
+
+476
+00:36:22,130 --> 00:36:28,290
+أول حاجة عشان اتجسم صح كل معطياتك اتجسمليها نشوف
+
+477
+00:36:28,290 --> 00:36:34,250
+إيش المعطيات هذه مش هتعطانيها ثيتا .. فهي لها ثيتا
+
+478
+00:36:34,250 --> 00:36:38,690
+صيني و صاضي؟ لأ .. ثيتا ثيتا هذه .. هحطها صينية
+
+479
+00:36:38,690 --> 00:36:42,850
+ولا صاضية؟ صينية و صاضية .. مين اللي قال صينية هو
+
+480
+00:36:42,850 --> 00:36:49,100
+يزعج الصادية؟ بنفعش صينية وصادية طب كيف أعملها؟
+
+481
+00:36:49,100 --> 00:36:53,120
+جالي و أنا في سبتر واحد علمتك اتحلل ليش؟ عشان هذه
+
+482
+00:36:53,120 --> 00:36:59,640
+بتتحلل فهذه بتتحلل إلى مركبة هيك اسمها V0 Cos θ و
+
+483
+00:36:59,640 --> 00:37:06,380
+هيك V0 Sin θ هجيت أسأل السرعة الابتدائية الصينية
+
+484
+00:37:06,380 --> 00:37:15,780
+جديش؟ ليش؟ ليش صفرتوها؟ هذه إيش هي؟ V0 Cos فيتا
+
+485
+00:37:15,780 --> 00:37:21,800
+تبقى قصادية V0 Cos فيتا إذا السرعة الابتدائية اللي
+
+486
+00:37:21,800 --> 00:37:27,080
+كانت مش مجسومة قسمتها سنة قصادية باستخدام مهارة
+
+487
+00:37:27,080 --> 00:37:31,540
+بعرفها بحل الـ vector صح ولا لأ؟ ماعندي مشكلة في حد
+
+488
+00:37:31,540 --> 00:37:34,940
+ماعرفش أحلل لحد الآن خلصنا من الشطر الأول اللي
+
+489
+00:37:34,940 --> 00:37:45,000
+بحلل الـ vectors إذا بقولي first نحن نحصل على V0x
+
+490
+00:37:45,000 --> 00:37:51,020
+V0cosθ V0y
+
+491
+00:37:51,020 --> 00:37:54,180
+V0sinθ
+
+492
+00:37:54,180 --> 00:38:03,540
+تمام الآن at maximum height ماهو الصفر؟ VY ورحت على
+
+493
+00:38:03,540 --> 00:38:09,360
+معادلاتي بالاتجاه الصاضي اكتبهم المعادلات تعوني
+
+494
+00:38:09,360 --> 00:38:13,840
+هدا هم كمان مرة هذه X وهذه Y هذه في الشكل القانوني
+
+495
+00:38:13,840 --> 00:38:20,260
+الوحيد V0 X في T وهنا بيقول VY equal V0 Y minus GT
+
+496
+00:38:20,260 --> 00:38:25,720
+وY equal V0 Y في T minus half GT square و VY
+
+497
+00:38:25,720 --> 00:38:30,260
+square equal V0 Y square minus 2GY هم المعجلات
+
+498
+00:38:30,260 --> 00:38:38,510
+تمام اتفقنا أول مطلوب صاضي ولا مش صاضي صاضي هنا أنا
+
+499
+00:38:38,510 --> 00:38:41,930
+مش ميعطيني زمان، لا هادي ولا هادي بتنفع لي، صح؟
+
+500
+00:38:41,930 --> 00:38:46,350
+هادي جالي طب الصورة النهائية الصادية، عن أقصى
+
+501
+00:38:46,350 --> 00:38:50,610
+الارتفاع، إذا هادي صفر، صح؟ ما زال هادي صفر، بدي
+
+502
+00:38:50,610 --> 00:38:55,930
+هادي منها، طبعي، و هادي ما هيني جيبتها هادي، V نصف
+
+503
+00:38:55,930 --> 00:39:00,850
+صين الثيتا، تمام؟ إذا at the maximum height using
+
+504
+00:39:00,850 --> 00:39:07,830
+the equation اللي هي هادي صحيح؟ حطيت هنا صفر طلعت
+
+505
+00:39:07,830 --> 00:39:11,690
+zero equal V naught بعدها عوضت محل V naught Y من
+
+506
+00:39:11,690 --> 00:39:17,030
+هنا يا بنات صحيح؟ V naught sin θ تربيع نقص 2G H الـ
+
+507
+00:39:17,030 --> 00:39:20,790
+Y خلتها H لأنها صارت maximum high إذا من هنا بقدر
+
+508
+00:39:20,790 --> 00:39:24,350
+أقول H بالساوية ربعي هادي وربع هادي على 2G ولا
+
+509
+00:39:24,350 --> 00:39:33,580
+لأ؟ في صعوبة؟ مافيش صعوبة كمان مرة، أي استفسار؟
+
+510
+00:39:33,580 --> 00:39:39,720
+ساكتين كلكم وفاهمين أكيد؟ هو
+
+511
+00:39:39,720 --> 00:39:43,620
+هيك بدأ المزلغ بالرمز عشان Y أي قيمة لـ Y يعني Y
+
+512
+00:39:43,620 --> 00:39:46,400
+ممكن تكون خمسة أو ثلاثة أو اثنين، صح ولا لأ؟ أقصى
+
+513
+00:39:46,400 --> 00:39:50,660
+ارتفاع برمزولها بالرمز H من كلمة height بقى رمز
+
+514
+00:39:50,660 --> 00:39:53,920
+يعني قولي أقصر تفاع وحطي Y وقولها أقصر تفاع
+
+515
+00:39:53,920 --> 00:39:57,920
+بالبرصاص وتمشي تعرفيها انها أقصر تفاع بس رمز هذا
+
+516
+00:39:57,920 --> 00:40:04,400
+مش أكثر عشان يميزها عن أي Y احكي عمرها
+
+517
+00:40:04,400 --> 00:40:10,680
+ما بتكون صفر إلا إذا كان free-falling body لأن لو
+
+518
+00:40:10,680 --> 00:40:15,000
+سرعة الابتدائية الصينية صفر، بيبقى لها صفر، بتتغير
+
+519
+00:40:15,000 --> 00:40:18,480
+إيش لها؟ وهذا مسبق، بتتأتاش إلى بيسقط الحر، اللي
+
+520
+00:40:18,480 --> 00:40:26,860
+بيروح عمودي، صح ولا لأ؟ هذي حسب السؤال، حسب السؤال
+
+521
+00:40:26,860 --> 00:40:33,000
+إيش بده في المطلوب الثاني يا بنات؟ الـ range،
+
+522
+00:40:33,000 --> 00:40:39,570
+شف توا على الرسم الـ range؟ اللي هي هذه المسافة هذه
+
+523
+00:40:39,570 --> 00:40:45,330
+المسافة سنية ولا صادية؟ سنية، سن شوية بس جالي
+
+524
+00:40:45,330 --> 00:40:49,970
+اتنقناه؟ في غيرها معادلة؟ المرة دي ما كانش معانا
+
+525
+00:40:49,970 --> 00:40:52,970
+زمان، قلنا نروح على المعادلة هادي هادي وهادي،
+
+526
+00:40:52,970 --> 00:40:57,120
+كانوا فيها زمان، لجينا بديل، في بديل آخرها؟ وهنا
+
+527
+00:40:57,120 --> 00:41:00,320
+ماذا يفعل؟ قال لي ليس هناك معادلة تجيب لي الزمن غصب
+
+528
+00:41:00,320 --> 00:41:05,260
+عنك ولا بتقدر تطلع X صح ولا لأ؟ هنا ليس هناك غلال
+
+529
+00:41:05,260 --> 00:41:10,220
+معادلة فيها زمن بدك تدور عليه وبدك تعرف تجيبها
+
+530
+00:41:10,220 --> 00:41:15,540
+كيف أجيبها قال لي رجع لرسمها أنت شوية واحدة واحدة
+
+531
+00:41:15,540 --> 00:41:24,860
+أولا الزمن سيني ولا صاضي؟ لا هيك ولا هيك هذي ريحتني
+
+532
+00:41:24,860 --> 00:41:29,480
+قال إيه أنا بنفع أشحته من الصاضي؟ اه، بنفع لأنه ما
+
+533
+00:41:29,480 --> 00:41:33,320
+هوش حكى على الصاضي ولا حكى على الصيني من الطلبة زي
+
+534
+00:41:33,320 --> 00:41:37,500
+ما بيسموها مظبوط ولا لأ تمت، غيرت الصاد طبيعتها،
+
+535
+00:41:37,500 --> 00:41:45,280
+إذا to find the range the y displacement from the
+
+536
+00:41:45,280 --> 00:41:49,630
+initial point to the final point is zero إذاً
+
+537
+00:41:49,630 --> 00:41:55,250
+معناته عشان تطلع الزمن الكلي بيكون Y في هذه الحالة
+
+538
+00:41:55,250 --> 00:41:59,990
+Zero قال إذا معناته لو عوضت هنا بتطلع الزمن عشان
+
+539
+00:41:59,990 --> 00:42:03,110
+تجيب الـ range ولا لأ؟ اه هذا الزمن اللي جبته من
+
+540
+00:42:03,110 --> 00:42:08,110
+هنا تقدر تعوضه في الـ X؟ اه لأن X وY لهم نفس الزمن
+
+541
+00:42:08,110 --> 00:42:13,870
+تمامي هيك ولا؟ تمام إذاً بيقول لي to find the range
+
+542
+00:42:13,870 --> 00:42:17,850
+we need the time of a flight خطوة نبدي زمان لإن
+
+543
+00:42:17,850 --> 00:42:20,850
+مافيش غير أن لها معادلة و no way أروح على معادلة
+
+544
+00:42:20,850 --> 00:42:24,070
+مافيش فيها زمان تمام noting that for the total
+
+545
+00:42:24,070 --> 00:42:28,590
+time of a flight قدش Y؟ Zero X اتغيرت لكن Y ما
+
+546
+00:42:28,590 --> 00:42:32,450
+اتغيرتش يعني هي كانت من هنا لهنا X اتغيرت لكن Y ما
+
+547
+00:42:32,450 --> 00:42:36,910
+اتغيرتش الارتفاع تبعها ما اتغيرتش راح ورجع راح و
+
+548
+00:42:36,910 --> 00:42:40,770
+رجع راح على جباليا ورجع فبالتالي الهزاحة تبعته Zero
+
+549
+00:42:40,770 --> 00:42:45,050
+من الطلع ونزل طلع خمسة متر وننزل خمسة متر جداش
+
+550
+00:42:45,050 --> 00:42:50,390
+المعاصلة؟ Zero كـ Y لكن كـ X لأ كان في هنا صار هنا
+
+551
+00:42:50,390 --> 00:42:55,250
+فإيه الـ range؟ تمام إذا بيقول لي استخدمي المعادلة
+
+552
+00:42:55,250 --> 00:43:02,370
+هذه وحط محل Y جداش؟ Zero مازال هذه Zero لو أنت
+
+553
+00:43:02,370 --> 00:43:07,370
+اتعودت أنا هنا مش سرعة Denote في Y في T minus half
+
+554
+00:43:07,370 --> 00:43:12,920
+G T square بقدر أجسم المعادلة على T؟ صح؟ لما أدسم
+
+555
+00:43:12,920 --> 00:43:18,320
+على T، هذي بتروح وهذي بتروح، إذا T بيساوي 2 V0 Y
+
+556
+00:43:18,320 --> 00:43:24,860
+على G، صح؟ و V0 Y بيساوي V0 Sine Theta، إذا بيقول
+
+557
+00:43:24,860 --> 00:43:28,300
+هاي الزمن اللي أنت مغالف باه، هيك جبته، طيب جيبه
+
+558
+00:43:28,300 --> 00:43:33,500
+عوضه هنا، هذا الزمن، بدي أجيبه من هنا وأحطه هنا صح
+
+559
+00:43:33,500 --> 00:43:37,040
+ولا لا؟ خلاص، جاهز عندي والمعادلة الوحيدة اللي أنا
+
+560
+00:43:37,040 --> 00:43:42,720
+بقدر أستخدمها now substituting عوض for T in the
+
+561
+00:43:42,720 --> 00:43:48,920
+equation السينية الوحيدة تمام، قولي بالسين عندك V
+
+562
+00:43:48,920 --> 00:43:53,040
+not في X، sorry،
+
+563
+00:43:53,040 --> 00:43:59,100
+هاي V not في X بدل T جيب 2 صح؟ تمام هذه ممكن اعوض
+
+564
+00:43:59,100 --> 00:44:05,020
+عنها ولا لا؟ مش هي V0 Cos فتة؟ تمام إذا حطيت V0 و
+
+565
+00:44:05,020 --> 00:44:10,800
+V0 صارت V0 تربيع طيب هذه خلصت السؤال هجيت 2 Sin
+
+566
+00:44:10,800 --> 00:44:16,920
+فتة Cos فتة شفتوا هذا قبل كده؟ Sin 2 فتة إيه اللي
+
+567
+00:44:16,920 --> 00:44:23,220
+بده يعيزي يظبط سؤاله؟ بكتبها هيك اكتب هيك اللي
+
+568
+00:44:23,220 --> 00:44:26,980
+بدته واللي بيقول بيكفيك بيقول اللي بيكفيني الأولى
+
+569
+00:44:26,980 --> 00:44:30,760
+نية بتاع ما بيكفيني يعطيكوا العافية
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JfWLjz1Ai7A_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JfWLjz1Ai7A_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..68059f69394575413ea531430fa24b6b37c2892a
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JfWLjz1Ai7A_postprocess.srt
@@ -0,0 +1,2276 @@
+1
+00:00:21,290 --> 00:00:26,710
+بنسمى بسم الله و نبدأ ال chapter التالت اليوم ال
+
+2
+00:00:26,710 --> 00:00:30,910
+chapter التاني الماضي كان عنوانه ال linear motion
+
+3
+00:00:30,910 --> 00:00:36,710
+الحركة في خط واحد في خط مستقيم باتجاه واحد الآن ال
+
+4
+00:00:36,710 --> 00:00:41,630
+planar motion الحركة المستوية طبعا المستوى معروف
+
+5
+00:00:41,630 --> 00:00:48,520
+ان هو direction2 X Y وبالتالي الآن في بعض الحركات
+
+6
+00:00:48,520 --> 00:00:52,760
+ما نستطيع أن نتعامل معها كـ one dimension زي حركة
+
+7
+00:00:52,760 --> 00:00:55,280
+المغفوفات الـ projectile motion الـ projectile
+
+8
+00:00:55,280 --> 00:00:58,720
+motion في اتجاهين زي الحركة الدائرية يا بنات في
+
+9
+00:00:58,720 --> 00:01:03,420
+دائرة بترسم على خط مستقيم لازم يكون X Y ففي بعض
+
+10
+00:01:03,420 --> 00:01:07,660
+الحركات بتكون two dimensional كيف نتعامل مع هذه
+
+11
+00:01:07,660 --> 00:01:11,600
+الأمور هذا هو موضوع الـ chapter التالت
+
+12
+00:01:13,930 --> 00:01:16,190
+العنوان اللي أخدناه في الفصل .. في الـ chapter
+
+13
+00:01:16,190 --> 00:01:20,570
+الماضي، بدنا نعيدهdisplacement إيش معناتها؟ is a
+
+14
+00:01:20,570 --> 00:01:24,550
+velocity and acceleration كلنا معرفهم ولا لأ بس
+
+15
+00:01:24,550 --> 00:01:27,490
+الآن بنعمّمهم بدل one dimension يكونوا two
+
+16
+00:01:27,490 --> 00:01:31,770
+dimensions تمام بيقول consider a particle أنا لما
+
+17
+00:01:31,770 --> 00:01:34,590
+يكون عندي particle بيمشي على اللوح نرجع نملة بيمشي
+
+18
+00:01:34,590 --> 00:01:37,070
+على اللوح لما تمشي على اللوح معناه انها ماتمشيش في
+
+19
+00:01:37,070 --> 00:01:40,810
+خط مستقيم كانت هنا وممكن تلاقوها هنا لكن لو في خط
+
+20
+00:01:40,810 --> 00:01:44,550
+مستقيم هتلاقوها هنا أو هنا الآن ممكن تجي هنا فأي
+
+21
+00:01:44,550 --> 00:01:49,080
+particle بيمشي في مستوى اللوحA particle moves
+
+22
+00:01:49,080 --> 00:01:52,300
+along the curve shown from an initial point I to a
+
+23
+00:01:52,300 --> 00:01:58,840
+final point F كانت هنا وصارت هنا يعني مامشيتش بخط
+
+24
+00:01:58,840 --> 00:02:02,680
+مستقيم مشيت ب curve نفترض انه كانت هنا وصارت هنا
+
+25
+00:02:03,300 --> 00:02:06,700
+تمام يا بنات؟ حلو بيقول ايه؟ بدنا نشوف ال
+
+26
+00:02:06,700 --> 00:02:09,200
+displacement تبعها إيه صار فيها نشوف ال
+
+27
+00:02:09,200 --> 00:02:12,640
+displacement في البداية كيف واضحة و ال
+
+28
+00:02:12,640 --> 00:02:15,120
+displacement في النهاية كيف واضحة و نطرحهم من بعيد
+
+29
+00:02:15,120 --> 00:02:19,820
+مش هيك و نعمل Delta X بسوء X final نقص X initial
+
+30
+00:02:19,820 --> 00:02:24,140
+تمام وإنها X final the initial and the final
+
+31
+00:02:24,140 --> 00:02:27,300
+position of the particle are two dimensional
+
+32
+00:02:27,300 --> 00:02:31,560
+vectorsموضع الجسم initially و finally two
+
+33
+00:02:31,560 --> 00:02:36,820
+dimensional لإن لو جيه بدي أرسم مش هذي RI هذي ال
+
+34
+00:02:36,820 --> 00:02:40,240
+initial displacement طبعا احنا هذه المرة رمزنا لها
+
+35
+00:02:40,240 --> 00:02:44,400
+برمز X، ذاكرين؟ X initial و X final بس الآن ماقدرش
+
+36
+00:02:44,400 --> 00:02:48,810
+أقول X لإن هم مش صينيةولا بقدر أقول why لأنها مش
+
+37
+00:02:48,810 --> 00:02:52,650
+صادية، إنها مُركّبة صينية و مُركّبة صادية، فالرمز
+
+38
+00:02:52,650 --> 00:02:56,870
+المُتعرف عليه R وهذا R vector بحلله إلى مُركّبة
+
+39
+00:02:56,870 --> 00:03:01,050
+الصينية و مُركّبة الصادية، طب و ال R final؟ في
+
+40
+00:03:01,050 --> 00:03:05,020
+مشكلة يا بنات؟كيف أنا بجيس إزاحة الجسم من عندى
+
+41
+00:03:05,020 --> 00:03:09,060
+لعندى الجسم صحيح ولا لأ طبعا أنا اللى بجيس بجيس من
+
+42
+00:03:09,060 --> 00:03:12,900
+ال origin دايما نقطة الأصل فمن نقطة الأصل لل
+
+43
+00:03:12,900 --> 00:03:15,680
+initial point هذه R initial هذه ال displacement
+
+44
+00:03:15,680 --> 00:03:20,140
+الإبتدائية وهذه ال displacement النهائية الان ال
+
+45
+00:03:20,140 --> 00:03:23,140
+displacement الكلية اترح التغير في ال displacement
+
+46
+00:03:23,140 --> 00:03:30,000
+R final minus R initial طيب ال R هذه ال vector
+
+47
+00:03:30,000 --> 00:03:33,900
+نزرقبتقدروا تحللوه ولا بتقدروا إيش تحللوه؟ إيه
+
+48
+00:03:33,900 --> 00:03:38,140
+مراكبة سمية و إيه مراكبة صادية؟ مراكبة السمية X و
+
+49
+00:03:38,140 --> 00:03:41,640
+مراكبة الصادية Y يعني لو جيت بدي أحلله مش أنا بعمل
+
+50
+00:03:41,640 --> 00:03:48,020
+هيك و بعمل هيك هذي XI و هذي YI صحيح ولا لأ؟ تمام
+
+51
+00:03:48,020 --> 00:03:51,000
+وبالتالي هذي ال vector هيك بصير و هذي ال vector
+
+52
+00:03:51,000 --> 00:03:57,060
+هيك تمام؟ I طبعا initial معناته هناتمام، إذا الـR
+
+53
+00:03:57,060 --> 00:03:59,940
+initial بيستوي X initial باتجاه الـI زي الـY
+
+54
+00:03:59,940 --> 00:04:04,960
+initial باتجاه الـG، طيب، و الـR final نفس القضية،
+
+55
+00:04:04,960 --> 00:04:09,760
+تمام، الآن الـdisplacement of the particle،
+
+56
+00:04:09,760 --> 00:04:15,270
+التغيير اللي صار عنده هوDelta R بستوي R final ناقص
+
+57
+00:04:15,270 --> 00:04:19,230
+R initial هجيد احنا two vectors A وB بنعرف نطرحهم
+
+58
+00:04:19,230 --> 00:04:23,470
+و نجمحهم؟ مظبوط ولا لأ؟ من ال chapter الأول طيب،
+
+59
+00:04:23,470 --> 00:04:28,590
+هذا أيه vector زيه زي A؟و هذا .. sorry .. هذا هيو
+
+60
+00:04:28,590 --> 00:04:32,290
+.. و هذا هيو و كأنه في عنكم vector A و vector B و
+
+61
+00:04:32,290 --> 00:04:35,610
+أريد أن أطرحهم كيف نفرح و نجمع أحنا في ال vectors
+
+62
+00:04:35,610 --> 00:04:38,850
+لإن المراكبات الصينية مع بعض و المراكبات الصهوية
+
+63
+00:04:38,850 --> 00:04:42,970
+مع بعض تم .. إذا ال chapter الأول كنا ناخد vectors
+
+64
+00:04:42,970 --> 00:04:46,330
+مجردين A و B الآن ال vectors لهم معنى displacement
+
+65
+00:04:46,330 --> 00:04:50,170
+أو velocity أو acceleration أو force الآن هذه بدل
+
+66
+00:04:50,170 --> 00:04:54,970
+من أقول A بدي أقول R عادي تغيير رمز مش أكترفبقول R
+
+67
+00:04:54,970 --> 00:04:59,070
+final minus R initial أيش بتسوي المراكبات السنية
+
+68
+00:04:59,070 --> 00:05:04,470
+مع بعض والمركبات الصادية مع بعض تمام؟ قاللي هذه
+
+69
+00:05:04,470 --> 00:05:11,850
+بتقدر تقول عنها Delta X صح و هذي Delta Y تمام؟
+
+70
+00:05:11,850 --> 00:05:18,090
+طبعا هذه هي كرسمة Delta Xi زي Delta Yjتمام، إذا
+
+71
+00:05:18,090 --> 00:05:23,230
+الـ Delta صارت دلتين وكأنه دلتة صينية ودلتة صادية
+
+72
+00:05:23,230 --> 00:05:28,330
+الإزاحة إزاحتين، إزاحة صينية وإزاحة صادية، تمام؟
+
+73
+00:05:28,330 --> 00:05:34,050
+لأنه كل vector له مركبتين وكأنه انجسم إلى جزءين،
+
+74
+00:05:34,050 --> 00:05:39,750
+جزء صيني وجزء صادي، فالآن Delta R عبارة عن Delta X
+
+75
+00:05:39,750 --> 00:05:43,530
+وهي المركبة الصينية للإزاحة زي الـ Delta Y وهي
+
+76
+00:05:43,530 --> 00:05:48,920
+المركبة الصادية للإزاحة، تمام؟الان الـ Average
+
+77
+00:05:48,920 --> 00:05:54,580
+Velocity سمعتوا فيها؟ معدل سرعة متوسطة قلنا أيش
+
+78
+00:05:54,580 --> 00:05:58,080
+بيساوي زمان؟ Delta X على Delta T الآن بدي أقول
+
+79
+00:05:58,080 --> 00:06:02,100
+عنها Delta R على Delta T، صح؟ لأن الإزاحة بطلت X،
+
+80
+00:06:02,100 --> 00:06:05,620
+صارت R، بيقولي تعريف، فDelta R على Delta T، في
+
+81
+00:06:05,620 --> 00:06:08,780
+مشكلة؟ لأ، قال لي هادي Delta R من فترة كنتوا
+
+82
+00:06:08,780 --> 00:06:14,100
+بتبديلها دي، صح؟عبارة عن Delta X على Delta T زي
+
+83
+00:06:14,100 --> 00:06:17,680
+Delta Y على Delta T لا تنسوا أن Delta T هو Scalar
+
+84
+00:06:17,680 --> 00:06:21,060
+وعندما أضرب Scalar في الـ Vector أضربه في كل
+
+85
+00:06:21,060 --> 00:06:25,200
+المراكبات فهذه الواحدة على Delta T تدخل على
+
+86
+00:06:25,200 --> 00:06:29,620
+المراكبة الصينية وتدخل على المراكبة الصاضية هجيه
+
+87
+00:06:29,620 --> 00:06:30,420
+تطلعوني على هذه
+
+88
+00:06:33,540 --> 00:06:36,460
+هذه average velocity اللي أخدناها في الشطر التاني،
+
+89
+00:06:36,460 --> 00:06:40,240
+مظبوط؟ بس إيه؟ سينية، هذي إيش اللي اتغير فيها؟
+
+90
+00:06:40,240 --> 00:06:44,380
+جالب ال X صار طوال، بيخليها صغيرة، فصارت ال
+
+91
+00:06:44,380 --> 00:06:47,800
+average velocity، ال velocity vector ولا scalar؟
+
+92
+00:06:49,820 --> 00:06:52,680
+يعني إيه مراكبة تانية ولا لا؟ فهذه الـ Average
+
+93
+00:06:52,680 --> 00:06:55,980
+Velocity لها مراكبة ثانية ومراكبة صادية، لا شيء
+
+94
+00:06:55,980 --> 00:06:59,540
+جديد ولا حاجة جديدة، بس مجرد الشغل اللي بعملها
+
+95
+00:06:59,540 --> 00:07:03,200
+مرة، بدي أعملها مرتين، مرة للصيني ومرة للصادي،
+
+96
+00:07:03,200 --> 00:07:07,000
+مافيش شيء جديد، فالـ V Average بيساوي الـ V
+
+97
+00:07:07,000 --> 00:07:10,920
+Average الصيني زي الـ V Average الصادي، مش أكتر
+
+98
+00:07:10,920 --> 00:07:15,660
+أحكي،
+
+99
+00:07:15,660 --> 00:07:18,100
+إذا موجود الـ Time، تبقى سنة، إيش عنوان، إيش سبتة؟
+
+100
+00:07:19,090 --> 00:07:21,750
+توم .. توم .. اما هو من الاصل فيه بس احنا مش
+
+101
+00:07:21,750 --> 00:07:24,370
+معانين فيه اليوم لإن عنواننا بس مقيد ل two
+
+102
+00:07:24,370 --> 00:07:29,370
+components بس تمام طيب .. قاللي انت خدت برضه
+
+103
+00:07:29,370 --> 00:07:32,190
+الشكتور الماضي بعد ال average velocity ال
+
+104
+00:07:32,190 --> 00:07:35,330
+instantaneous velocity اللي قلنا ال limit لما
+
+105
+00:07:35,330 --> 00:07:38,750
+الفترة الزمنية بتقول إلى اللحظة و بيصير هذا
+
+106
+00:07:38,750 --> 00:07:42,530
+معناتها مشتقت حاجة بالنسبة للزمن اللي هي الإزاحة
+
+107
+00:07:42,530 --> 00:07:48,690
+فقاللي V instantaneous بدون الإشارة بساوي الأنمش
+
+108
+00:07:48,690 --> 00:07:53,230
+طاقة الإزاحة بالنسبة للزمن إزاحة R وهذه R اتفقنا
+
+109
+00:07:53,230 --> 00:07:58,190
+عبارة عن X باتجاه I زي Y باتجاه J لأن R لها
+
+110
+00:07:58,190 --> 00:08:07,210
+مركبتين ك vector يسوى X I زي Y جيه أملها اشطقبقول
+
+111
+00:08:07,210 --> 00:08:12,290
+بداش تقها دي؟ بداش تقها دي؟ بتساوي DX على DT و DY
+
+112
+00:08:12,290 --> 00:08:17,630
+على DT تمام ولا لأ؟ طيب هذه إيش هي؟ قال هذه مشتقة
+
+113
+00:08:17,630 --> 00:08:24,270
+الإزاحة السينية بالنسبة للزمن سرعة سينية هذه مشتقة
+
+114
+00:08:24,270 --> 00:08:28,510
+الإزاحة الصادية بالنسبة للزمن سرعة صادية فكتبنا
+
+115
+00:08:28,510 --> 00:08:32,310
+السرعة السينية بيقول عنها VX والسرعة الصادية بيقول
+
+116
+00:08:32,310 --> 00:08:36,830
+عنها VY ما هي سرعة سرعة متوسطة ولا لحظيةزي ما
+
+117
+00:08:36,830 --> 00:08:40,290
+السرعة المتوسطة لها مراكبة سينية و مراكبة صادية
+
+118
+00:08:40,290 --> 00:08:45,370
+السرعة اللحظية لها مراكبة سينية و مراكبة صادية تم
+
+119
+00:08:45,370 --> 00:08:48,510
+.. جالي طيب ال acceleration vector ولا مش vector؟
+
+120
+00:08:49,380 --> 00:08:53,880
+إذا برضه مركبة تيه؟ سيني و صاضي الـ Average و الـ
+
+121
+00:08:53,880 --> 00:08:57,560
+Instantaneous بيكونوا مشابهين بنفس الكيفية من دون
+
+122
+00:08:57,560 --> 00:09:02,900
+أن ندخل في التفاصيل العملية سهلة جدا الـ Average و
+
+123
+00:09:02,900 --> 00:09:07,060
+الـ Instantaneous الـ Acceleration التسارع اللحظي
+
+124
+00:09:07,060 --> 00:09:14,220
+والتسارع المتوسط are now defined as الـ A Delta V
+
+125
+00:09:14,220 --> 00:09:20,370
+على Delta Tوالـ V الآن عبارة عن إيش؟ مركبة T فقولت
+
+126
+00:09:20,370 --> 00:09:25,470
+VX على Delta T Delta VY على Delta T هذه هي الـ
+
+127
+00:09:25,470 --> 00:09:28,670
+Acceleration الصينية كـ Average وهذه الـ
+
+128
+00:09:28,670 --> 00:09:31,190
+Acceleration الصاضية إذا برضه الـ Acceleration
+
+129
+00:09:31,190 --> 00:09:36,950
+المتوسطة جسمتها إلى صيني وصاضي، فهي مشكلة؟ تمام؟
+
+130
+00:09:36,950 --> 00:09:40,190
+إذا إحنا ما نجيبش حاجة جديدة بس بنكرر الشغلة بديل
+
+131
+00:09:40,190 --> 00:09:44,550
+من واحد، بنعملها شغلتين، صيني وصاضيوالـ
+
+132
+00:09:44,550 --> 00:09:48,110
+Instantaneous acceleration is the derivative of
+
+133
+00:09:48,110 --> 00:09:51,130
+velocity with respect to t و ال velocity we have
+
+134
+00:09:51,130 --> 00:09:56,570
+two components هذا مشتقت الصراع الصينية بالنسبة
+
+135
+00:09:56,570 --> 00:10:00,930
+للزمن بالدين تسارع صيني و مشتقت الصراع الصاضية
+
+136
+00:10:00,930 --> 00:10:04,410
+بالنسبة للزمن بالدين تسارع صاضي و في النهاية
+
+137
+00:10:04,410 --> 00:10:09,350
+التسارع انجسم إلى جسمين مركبة صينية و مركبة صاضية
+
+138
+00:10:09,350 --> 00:10:15,260
+إذا إيش اللي جد عندي؟ جالي كل كميةمتجهة، vector
+
+139
+00:10:15,260 --> 00:10:19,540
+انجسمت لجسمين displacement عندك سينوسابي velocity
+
+140
+00:10:19,540 --> 00:10:25,320
+سينوسابي acceleration سينوسابي الزمنلأ لأنها
+
+141
+00:10:25,320 --> 00:10:29,520
+Scalar Scalar فى زمان سينى زمان صاضي لأ لإن احنا
+
+142
+00:10:29,520 --> 00:10:33,160
+متعمل مع Scalars إذا اللى بيقولى والله كتلة فى
+
+143
+00:10:33,160 --> 00:10:37,260
+كتلة سينية كتلة صاضية لأ لإنه Scalar احنا بس بنحكى
+
+144
+00:10:37,260 --> 00:10:41,240
+على ال vectors هو اللى بتحلل وإنه مركبات وال
+
+145
+00:10:41,240 --> 00:10:44,620
+vectors اللى حتى الآن مروا علينا displacement،
+
+146
+00:10:44,620 --> 00:10:50,340
+velocity، acceleration أما ال T هو ال time is a
+
+147
+00:10:50,340 --> 00:10:56,790
+scalar quantityمافيش عندى ت سيني و ت صادم تمام؟
+
+148
+00:10:56,790 --> 00:11:04,320
+حلو it is clear that بعد ما اشتغلنا هالكلمتينThe
+
+149
+00:11:04,320 --> 00:11:08,380
+planar motion حركة مستوية بدون بصيط ليها can be
+
+150
+00:11:08,380 --> 00:11:11,540
+considered as a vector sum of two perpendicular
+
+151
+00:11:11,540 --> 00:11:17,700
+motions هو عبارة عن حركتين وكأنه حركة two
+
+152
+00:11:17,700 --> 00:11:20,760
+perpendicular planar motions حركتين خطيتين along
+
+153
+00:11:20,760 --> 00:11:23,360
+one along the x-axis and the other along the y
+
+154
+00:11:23,360 --> 00:11:26,980
+-axis معناته كل سؤال عبارة عن سؤال إيه مش شابط
+
+155
+00:11:26,980 --> 00:11:30,930
+للماضي؟كل سؤال عبارة عن سؤال يلمس شطر الماضي سؤال
+
+156
+00:11:30,930 --> 00:11:35,910
+سيني سؤال صاضي بس مافيش اشي جديد بطول شوية في
+
+157
+00:11:35,910 --> 00:11:39,830
+الحال بيمش نقدر عليه تمام أما مافيش حاجة جديدة
+
+158
+00:11:39,830 --> 00:11:43,750
+عندك بس مجرد السؤال لو قعدت بفرجكم كيف بنحل بقسم
+
+159
+00:11:43,750 --> 00:11:46,150
+نصين بقول هاي السيني و هاي الصاضي هاي المعطيات
+
+160
+00:11:46,150 --> 00:11:49,710
+السينية و هاي المعطيات الصاضية بشوف إيش بدو اللي
+
+161
+00:11:49,710 --> 00:11:52,590
+بدويا إذا صاضي بروح على الصاضي بدوا حاجة سينية
+
+162
+00:11:52,590 --> 00:11:55,850
+بروح على الصيني بدوا زمان أنا حر مافيش زمان سيني
+
+163
+00:11:55,850 --> 00:12:00,720
+زمان صاضيهمتوا عليا؟ وبالتالي العملية بيصير سهلة،
+
+164
+00:12:00,720 --> 00:12:05,760
+إذا شبطرنا هذا هو شبيه بالشبطر الماضي تماما، مافيش
+
+165
+00:12:05,760 --> 00:12:08,760
+.. عندي معلومة فيزيائية جديدة، في عندي تكنيكي
+
+166
+00:12:08,760 --> 00:12:12,760
+جديد، آه، لكن معلومات مافيشش، نفس تكرار و
+
+167
+00:12:12,760 --> 00:12:18,440
+duplicated، يعني مقررة، مجرد سيني وصاضي، مش أكتر،
+
+168
+00:12:18,440 --> 00:12:24,280
+نشوف كيف الأسئلة تتيجوابيقول الـ coordinates of a
+
+169
+00:12:24,280 --> 00:12:28,240
+particle moving in the xy plane هاي الجسم بتحرك في
+
+170
+00:12:28,240 --> 00:12:32,800
+الـ xy plane يعني planar motion are given as a
+
+171
+00:12:32,800 --> 00:12:35,960
+function of time by .. طلعوا كيف الـ R مادانيش x
+
+172
+00:12:35,960 --> 00:12:41,400
+زي المرة هديك، معادلة و قاللي TTI زي التسعتاش نقص
+
+173
+00:12:41,400 --> 00:12:47,120
+T اتنين T تربيع J هيجيت الـ R هذه، هي كان مركبة
+
+174
+00:12:47,120 --> 00:12:55,930
+إليها، من يقول يجدش X؟إذا معناته ها X بتساوي 2T طب
+
+175
+00:12:55,930 --> 00:13:02,980
+و Y؟ 19 ناقص 2T تربية هذا سؤال وهذا سؤالهذا السؤال
+
+176
+00:13:02,980 --> 00:13:06,880
+وهذا السؤال، مظبوط ولا لا؟ هجيت، بده الـ average
+
+177
+00:13:06,880 --> 00:13:10,260
+velocity الصيني، من هنا بقدر أجيبه، ال average
+
+178
+00:13:10,260 --> 00:13:13,460
+velocity الصعبي، بجيبه من هنا، طب قال لي بدي ال
+
+179
+00:13:13,460 --> 00:13:15,900
+average velocity، بقوله تنتين، بجيبلك هذه و بجيبلك
+
+180
+00:13:15,900 --> 00:13:19,960
+هذه و بعدين بحط لك يهوام جامب بعد، تمام، إيه؟ لذا
+
+181
+00:13:19,960 --> 00:13:34,830
+السؤال مجرد بتكررماذا تريد؟ What is the
+
+182
+00:13:34,830 --> 00:13:39,200
+average velocity؟ نفس المقبولof the particle ما
+
+183
+00:13:39,200 --> 00:13:42,360
+زال الـ Average بدي Interval بيقول لي T بيساوة صفر
+
+184
+00:13:42,360 --> 00:13:45,640
+to T بيساوة اتنين ثانية يعني T final اتنين و T
+
+185
+00:13:45,640 --> 00:13:50,040
+initial صفر تمام مش بده كمان what is the velocity
+
+186
+00:13:50,040 --> 00:13:52,920
+of the particle at T equal to second Instantaneous
+
+187
+00:13:52,920 --> 00:13:57,140
+velocity عند لحظة معينة عند T بيساوة اتنين ثانية
+
+188
+00:13:57,140 --> 00:14:00,900
+say what is the acceleration of the particle also
+
+189
+00:14:00,900 --> 00:14:03,640
+at T equal to second بده الآن ال Instantaneous
+
+190
+00:14:03,640 --> 00:14:09,360
+acceleration مش ال average على فوق تمامأحسن حاجة
+
+191
+00:14:09,360 --> 00:14:14,160
+في أسئلة زي إيه؟ Let us divide the problem المسألة
+
+192
+00:14:14,160 --> 00:14:19,520
+تبعتي into two parts one along the x-axis and one
+
+193
+00:14:19,520 --> 00:14:24,980
+along the y-axis يعني ها عملنا جدول زيه تمام؟ حطيت
+
+194
+00:14:24,980 --> 00:14:33,620
+x-axis و y-axis تمام؟ توت تفقنا، جدش xتجدش Y تجدش
+
+195
+00:14:33,620 --> 00:14:42,600
+Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y
+
+196
+00:14:42,600 --> 00:14:47,480
+تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y
+
+197
+00:14:47,480 --> 00:14:54,080
+تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y
+
+198
+00:14:54,080 --> 00:14:55,340
+تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y
+
+199
+00:14:55,340 --> 00:14:55,400
+تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y
+
+200
+00:14:55,400 --> 00:14:58,320
+تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y تجدش Y
+
+201
+00:14:58,320 --> 00:15:03,540
+تجدشبتعودها و لا عوضها بينفعش عوضها انفصلناهم عشان
+
+202
+00:15:03,540 --> 00:15:09,020
+بيجربوش لبعض تمام بقى دي بقول انا بحكي عن الهجيمة
+
+203
+00:15:09,020 --> 00:15:13,580
+final كدش final اتنين اتنين في اتنين اربعة ال
+
+204
+00:15:13,580 --> 00:15:16,940
+initial سفر اتنين في سفر سفر على اتنين نقل سفر
+
+205
+00:15:16,940 --> 00:15:20,100
+اربعة اتنين اتنين متر per second في حد مش متبعيش
+
+206
+00:15:20,100 --> 00:15:25,220
+اللي عملته؟تمام؟ هجيت عشان أجيب Vy average عوض هنا
+
+207
+00:15:25,220 --> 00:15:29,520
+ولا عوض هنا؟ اتعود هنا لأن هي Delta Y على Delta T
+
+208
+00:15:29,520 --> 00:15:35,300
+ماهياش Delta X على Delta T نفس القانون Y final نقص
+
+209
+00:15:35,300 --> 00:15:38,620
+Y initial على T final نقص T initial جدش T final
+
+210
+00:15:38,620 --> 00:15:44,060
+اتفقنا اتنين؟ مظبوط؟ هنا اتنين ربعوها اربعة في
+
+211
+00:15:44,060 --> 00:15:48,260
+اتنين تمانية تسعة عشر نقص تمانية احداشر مظبوط ولا
+
+212
+00:15:48,260 --> 00:15:54,700
+لأ؟في الـ Initial جدّيش؟ سفر 2 في سفر بيظلش 19،
+
+213
+00:15:54,700 --> 00:16:01,820
+وهذه المعروفة إذا 11-19 سالب 8 ع 2 سالم 4 مثل الـ
+
+214
+00:16:01,820 --> 00:16:07,120
+Per Second في حد مش فاهم، إيش اللي بيسوي؟ في أي
+
+215
+00:16:07,120 --> 00:16:12,500
+سيسار يا بنات؟مش تكررني المرة الماضية؟ نفس الشيء؟
+
+216
+00:16:12,500 --> 00:16:16,580
+جالي هيك تمام. طب أنا مش طالبك لما انت طلع
+
+217
+00:16:16,580 --> 00:16:19,020
+المقلوب، جالك او جي دي ال average felicity، لا
+
+218
+00:16:19,020 --> 00:16:21,740
+جالك الصينية ولا الصادية، ايش تسوي؟ جالي هيك،
+
+219
+00:16:21,740 --> 00:16:26,620
+سهلة، الصينية بحط جنبهاك والصادية بحط جنب هذه،
+
+220
+00:16:26,620 --> 00:16:31,210
+بجمعهم، هيكأو اتنين هذي السنية اللي دايما بحطه
+
+221
+00:16:31,210 --> 00:16:34,310
+عليها اول هذي سالب اربعة سالب اربعة و بحط meter
+
+222
+00:16:34,310 --> 00:16:37,530
+per second هنا اذا مش محتوطة مش محتوطة بحط meter
+
+223
+00:16:37,530 --> 00:16:44,690
+per second الوحدة تبعتي خلاص السؤال المطلوب الأول
+
+224
+00:16:44,690 --> 00:16:49,320
+خلنا نقول في اي سفصار لحد الان؟تبع، إذن لما يطبّل
+
+225
+00:16:49,320 --> 00:16:53,420
+الشغل .. بقى داني ميذكر مزال الطلبها displacement
+
+226
+00:16:53,420 --> 00:16:56,500
+أو velocity أو acceleration أعلى في دنيا إلها
+
+227
+00:16:56,500 --> 00:16:59,680
+مركبتين و لازم أكتبهم .. أجيبهم و بعدين أكتبهم
+
+228
+00:16:59,680 --> 00:17:04,280
+جامب بعض الان for the instantaneous velocity we
+
+229
+00:17:04,280 --> 00:17:08,340
+have .. ارجع قاللي هذا هم عيتناهم صح؟ ال X و ال Y
+
+230
+00:17:08,340 --> 00:17:14,030
+قاللي بدك ال instantaneous velocity أشطقالـ
+
+231
+00:17:14,030 --> 00:17:17,150
+Instantaneous Velocity الصيني إشتقاق الـ X من
+
+232
+00:17:17,150 --> 00:17:24,490
+إشتقاق؟ 2 أعوض بعد كده؟ ثابتة لأنه 2 عندي صفر ولا
+
+233
+00:17:24,490 --> 00:17:29,630
+دي 100 ولا دي 2 كلها واحد جالي دي DX بتساوي DX على
+
+234
+00:17:29,630 --> 00:17:34,210
+DT وبتساوي 2 متر per second which is constant لا
+
+235
+00:17:34,210 --> 00:17:37,370
+تعتمد على الزمن لو اعتمدت على الزمن بعوض مع حالتي
+
+236
+00:17:37,370 --> 00:17:43,540
+2 لكن مافيش زمن ريحنيأه، ضايل ماشي الأمور؟ سهلة
+
+237
+00:17:43,540 --> 00:17:47,440
+تمام جالي الـ dy برضه اشتقال ايش اشتقال خالد تسعة
+
+238
+00:17:47,440 --> 00:17:53,240
+عشر؟ سفر سفر ناقص أربعة T هنا مستثابطة بدي أعوض
+
+239
+00:17:53,240 --> 00:17:57,540
+محي T باتنين لإنه جالي أوجد السرعة اللحظية ال T
+
+240
+00:17:57,540 --> 00:18:01,840
+بيساوي اتنين second إذا انتي اعطانيها فناقص أربعة
+
+241
+00:18:01,840 --> 00:18:06,300
+في اتنين ناقص تمانية متر per second جالي هذه
+
+242
+00:18:06,300 --> 00:18:10,340
+السرعة اللحظية السينية والصادية الكلية تطل جنب
+
+243
+00:18:10,340 --> 00:18:15,650
+عيطرصحيح ولا لأ؟ التانية حطينا جنبها I والسالية
+
+244
+00:18:15,650 --> 00:18:18,870
+تمانية حطينا جنبها J كمان مرة بنستنى، في اي
+
+245
+00:18:18,870 --> 00:18:22,210
+استفسار؟ طيب الحمد لله، بدنا ال acceleration
+
+246
+00:18:22,210 --> 00:18:30,090
+اللحظة، مش المتوسط for the .. أشتق كمان مرة أو
+
+247
+00:18:30,090 --> 00:18:36,390
+أشتق السرعة هاجيش مقولي هاي هادي .. تمام برعه لما
+
+248
+00:18:36,390 --> 00:18:40,050
+قاعدي بدي أجي جالي أشتقت هدي و طلعت اتنين كمان مرة
+
+249
+00:18:40,050 --> 00:18:46,460
+أشتق؟ ZeroEx شقاخ مرتين طلع الـ Zero هذه لما
+
+250
+00:18:46,460 --> 00:18:50,740
+اشتققتها طلعت نقص أربعة يشتقك مرة نقص أربعة يا
+
+251
+00:18:50,740 --> 00:18:54,580
+وردى مثلها هالكم شاطرين كلكم طب جمّعهم جليه اني
+
+252
+00:18:54,580 --> 00:19:05,480
+جمعتهم ولا حصل في الـ I بقير تمام في أي صفة؟ ويا
+
+253
+00:19:05,480 --> 00:19:13,660
+ستي هي موجودة تمام ليش الكمبيوتر كده؟بصي مش عاوز،
+
+254
+00:19:13,660 --> 00:19:19,620
+تمام، سهلة بس يعني بتعمليها، فبالتالي الديجة اللي
+
+255
+00:19:19,620 --> 00:19:22,920
+بنشتري عليها في هذا ال chapter مأم كان ذلك أن كل
+
+256
+00:19:22,920 --> 00:19:26,640
+سؤال بنجسمه لصين، سيني وصادي، وبالتالي المعطيات
+
+257
+00:19:26,640 --> 00:19:30,720
+بنجسمها، المطاليب بنعرفها سينية أو صادية، مطلوب
+
+258
+00:19:30,720 --> 00:19:34,620
+كامل بيجيب الصيني و الصادي و بنجملهم مع بعضوبنشتغل
+
+259
+00:19:34,620 --> 00:19:37,860
+هذا اللي بننأسسله وبالتالي بيبطل في عينكم معلومة
+
+260
+00:19:37,860 --> 00:19:41,620
+جديدة هتيجيكوا في كل تقريبا ال chapter اللي هي
+
+261
+00:19:41,620 --> 00:19:44,480
+الحركة الدورانية هنشوف كيف نتعامل معاها لإن
+
+262
+00:19:44,480 --> 00:19:48,500
+تقسيمها هيغلبنا فبالتالي هنلاقينا طريقة أسهل في
+
+263
+00:19:48,500 --> 00:19:54,840
+التعامل مع الحركة الدورانية دكتور هي سكن تربية صح؟
+
+264
+00:19:54,840 --> 00:20:01,290
+صحيح كلامكممتازة الوحدة meter per second squared
+
+265
+00:20:01,290 --> 00:20:06,370
+هذه كلام دقيق صحيح خطأ مطبعي انا حاطط التربيع هنا
+
+266
+00:20:06,370 --> 00:20:13,250
+طلعت عينيه ولا مالجيتهاش فقرطت انتجلت تمام بدأت
+
+267
+00:20:13,250 --> 00:20:17,930
+تعديل عندي تمام المهم اللي بينا عليه لكم ان عملت
+
+268
+00:20:17,930 --> 00:20:25,700
+مش مشكلة تمع بتنقليها بالغيرك بقيتها الحمد للهطيب،
+
+269
+00:20:25,700 --> 00:20:30,520
+جالي مزال هي اتعمالك بتجسملي كل حركة إلى نصين؟ هذي
+
+270
+00:20:30,520 --> 00:20:35,420
+أسهل، هتقول لو كانت ثابتة إيه؟ هل في مجال إن أحد
+
+271
+00:20:35,420 --> 00:20:44,460
+المراكبات يكون متغير؟ vector ثابت، أي vector مش هو
+
+272
+00:20:44,460 --> 00:20:49,220
+AxI ذات AyJ إذا قولت هذا ثابت، في مجال هذا يكون
+
+273
+00:20:49,220 --> 00:20:54,060
+متغير؟أو هذا مستحيل لأن إذا واحد اتغيرت كله بتغير
+
+274
+00:20:54,060 --> 00:20:59,620
+بيقول if E is constant التسارع ثابت معناته المركبة
+
+275
+00:20:59,620 --> 00:21:04,140
+الصينية ثابتة و المركبة الصينية ثابتة ليش بيقول
+
+276
+00:21:04,140 --> 00:21:07,500
+هيك؟ قال لي أه ماتأدتني في الشتر الماضي اللي هو
+
+277
+00:21:07,500 --> 00:21:12,180
+لما يكون التسارع ثابت فيه تلت معادلاتصحيحة، لا
+
+278
+00:21:12,180 --> 00:21:14,400
+أريد أن أشتقها من أولادي، لا أريد أن أشتقها من
+
+279
+00:21:14,400 --> 00:21:14,880
+أولادي، لا أريد أن أشتقها من أولادي، لا أريد أن
+
+280
+00:21:14,880 --> 00:21:16,040
+أشتقها من أولادي، لا أريد أن أشتقها من أولادي، لا
+
+281
+00:21:16,040 --> 00:21:16,900
+أريد أن أشتقها من أولادي، لا أريد أن أشتقها من
+
+282
+00:21:16,900 --> 00:21:17,260
+أولادي، لا أريد أن أشتقها من أولادي، لا أريد أن
+
+283
+00:21:17,260 --> 00:21:21,820
+أشتقها من أولادي، لا أريد أن أشتقها من أولادي، لا
+
+284
+00:21:21,820 --> 00:21:26,140
+أريد أن أشتقها من أولادي، لا أريد أن أشتقها من
+
+285
+00:21:26,140 --> 00:21:32,500
+أولادي، لا أريد أن أشتقها من أولادي،
+
+286
+00:21:32,500 --> 00:21:36,060
+لا أريد أن أشتقها
+
+287
+00:21:40,570 --> 00:21:46,830
+V بيسوي V0 زي AT صح نفسها إيه الشرطة دي التصارع
+
+288
+00:21:46,830 --> 00:21:50,250
+ثابت هي التصارع ثابت بس هنا عشان في عندي سرعتين
+
+289
+00:21:50,250 --> 00:21:53,630
+بدي أميز بينها بينها أحط هنا X وهنا السرعة
+
+290
+00:21:53,630 --> 00:21:58,010
+التدائية أقول الصينية وهذا التصارع الصيني الزمن
+
+291
+00:21:58,010 --> 00:22:03,190
+بيبقى زمن مافيش مشكلة القرون التاني الصادق نفسه
+
+292
+00:22:03,190 --> 00:22:12,200
+تمام هذا شفته واشتقنها مع بعضتمام بكتب بس بيبدل ال
+
+293
+00:22:12,200 --> 00:22:17,680
+scene صعب وهذا كتبته وهذا كتبته خالص إذا نفس
+
+294
+00:22:17,680 --> 00:22:20,740
+المعادلات مداش تدخل فيها بشرط إن ال acceleration
+
+295
+00:22:20,740 --> 00:22:28,160
+تكون constant في أي حد بدي أسأل؟ تمام في أي أفسار؟
+
+296
+00:22:29,370 --> 00:22:33,810
+إذا الحركة المستوية هي حركتين واحدة سينية واحدة
+
+297
+00:22:33,810 --> 00:22:39,050
+صادية تنتين متعاملتين تصيروا كإنها سؤالين حركة
+
+298
+00:22:39,050 --> 00:22:47,570
+خطية مش أكتر ثم .. إيش أشهر تطبيق للحركة المستوية
+
+299
+00:22:47,570 --> 00:22:51,570
+هو ال projectile motion حركة المقذوفة؟ أخدتوا
+
+300
+00:22:51,570 --> 00:22:56,330
+السقوط الحر؟ مش أخدناه؟ مع بعض؟ إيش عرفنا السقوط
+
+301
+00:22:56,330 --> 00:23:02,280
+الحر؟تحت أثير ايش بيأثر؟ جاذبية .. جاذبية ..
+
+302
+00:23:02,280 --> 00:23:06,620
+جاذبية
+
+303
+00:23:06,620 --> 00:23:10,300
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جاذبية
+
+304
+00:23:10,300 --> 00:23:10,380
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جاذبية
+
+305
+00:23:10,380 --> 00:23:10,660
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جاذبية
+
+306
+00:23:10,660 --> 00:23:16,050
+.. جاذبية .. جاذبية .. جاذبية .. جاذبية .. جإن جسم
+
+307
+00:23:16,050 --> 00:23:21,110
+يقضف فقط تحت
+
+308
+00:23:21,110 --> 00:23:26,590
+تثير الجاذبية العرضية والسقوط الحوري يقضف ويمشي
+
+309
+00:23:26,590 --> 00:23:30,970
+تحت تثير الجاذبية العرضية ما هو الفرق بينهم؟
+
+310
+00:23:30,970 --> 00:23:37,170
+فالفرق بسيط أن الصرع الإبتدائي في السقوط الحوري
+
+311
+00:23:37,170 --> 00:23:41,970
+يجب أن يكون عمودي لا فوق ولا تحتفي الـ projectile
+
+312
+00:23:41,970 --> 00:23:45,930
+motion يجب أن يكون أعمل زاوية لازم يكون للسرعة
+
+313
+00:23:45,930 --> 00:23:50,270
+الإبتدائية مُركّبة صينية للسرعة الإبتدائية يجب أن
+
+314
+00:23:50,270 --> 00:23:52,970
+يكون هناك مُركّبة صينية هذه المُركّبة الصينية
+
+315
+00:23:52,970 --> 00:23:56,950
+جدّيش مقدارها ليس مهم تمام؟ بالتالي عشان كده
+
+316
+00:23:56,950 --> 00:24:00,990
+يقولون كل سقوط حُر هو projectile motion ليش؟
+
+317
+00:24:00,990 --> 00:24:06,790
+يقولون بس مجرد هذا مُركّبته الصينية سفر موجودة بس
+
+318
+00:24:06,790 --> 00:24:13,470
+تمتها سفر صار سقوط حُر أحكيلأ انت بتقصفيه و
+
+319
+00:24:13,470 --> 00:24:16,370
+بتفلتيه انت بتدرسيه بعد القصف يعني انا هذا الجلم
+
+320
+00:24:16,370 --> 00:24:21,110
+بدي ارميه ايدي بتضلها معاه؟ خلاص انسي ايدي ايديك
+
+321
+00:24:21,110 --> 00:24:25,570
+اتمثلته بالصوعة التدائية اللي أخدها منكبعد كده
+
+322
+00:24:25,570 --> 00:24:28,370
+مانعش دعوة و اللي بيبقى لا projectile motion ولا
+
+323
+00:24:28,370 --> 00:24:32,110
+سقوط حر انا مانع أرمى الجلة من الارتماع لحاله ولا
+
+324
+00:24:32,110 --> 00:24:35,330
+حد رماه حد رماه بس مافلته مانعش دعوة كيف رماه
+
+325
+00:24:35,330 --> 00:24:39,750
+المهم اكتسب سرعية ابتدائية بس فبالتالي القوة اللى
+
+326
+00:24:39,750 --> 00:24:42,950
+قضت فيها مانعش دعوة في الحركة لأن انا بدرس بعد
+
+327
+00:24:42,950 --> 00:24:50,250
+القطف غيره تمامبيقولّي if a particle given an
+
+328
+00:24:50,250 --> 00:24:54,170
+initial velocity اتدته سرعة ابتدائية وبس كيف اتدته
+
+329
+00:24:54,170 --> 00:24:59,850
+إياها ما حدده دعوة ضربه شلوت باليد بمدفع بأي حاجة
+
+330
+00:24:59,850 --> 00:25:03,710
+ما مش مشكلة المهم أخد سرعة ابتدائية and then
+
+331
+00:25:03,710 --> 00:25:07,610
+follows a path determined only by gravity وبعدين
+
+332
+00:25:07,610 --> 00:25:14,530
+المصار اللي أخده فقط بحدته الجاذبية الأرضية تمامو
+
+333
+00:25:14,530 --> 00:25:17,590
+بيقول في هذه الحالة .. بيقول ان احنا عندنا we have
+
+334
+00:25:17,590 --> 00:25:22,470
+a projectile motion حركة مقظوفة تمام بيقول لي طيب
+
+335
+00:25:22,470 --> 00:25:27,090
+ما زال هذا التعريف هو نفسه قاللي انت قلتلي هذه
+
+336
+00:25:27,090 --> 00:25:33,050
+planar motion بيكسمها نصين صح سينية وصادية بيبني
+
+337
+00:25:33,050 --> 00:25:37,120
+نبدأ بالشغل اللي أنا عارفها اللي هي جاذبية الأرضصح
+
+338
+00:25:37,120 --> 00:25:42,560
+مش acceleration هي مش vector، بدي أقسمها سينوساضي،
+
+339
+00:25:42,560 --> 00:25:46,620
+مين يقولي كيف اتجاهها أول؟ لأسفل، قدش مركبتها
+
+340
+00:25:46,620 --> 00:25:51,980
+السينية؟ سفر، خمسوانت تشتغل على هذه الأساس بيقول
+
+341
+00:25:51,980 --> 00:25:55,060
+as the acceleration of gravity is always straight
+
+342
+00:25:55,060 --> 00:25:59,380
+downward يعني صادية إلى أسفل تمام with magnitude
+
+343
+00:25:59,380 --> 00:26:03,280
+of g the acceleration of a particle is always
+
+344
+00:26:03,280 --> 00:26:09,140
+given as a minus gj وين ال I؟ صح ولا لأ؟ و ليش
+
+345
+00:26:09,140 --> 00:26:13,720
+الناقص؟ عشانها لأسفل طب من هذه المعادلة يلّا
+
+346
+00:26:13,720 --> 00:26:22,010
+المركبة الصينية تجددشيعني Ax كده؟ سفر و Ay سالف G
+
+347
+00:26:22,010 --> 00:26:26,570
+إذا this means thatالحركة البروجيكتية يمكن أن تكون
+
+348
+00:26:26,570 --> 00:26:31,150
+تعتبر كـ Vector sum of vertical motion with
+
+349
+00:26:31,150 --> 00:26:36,610
+acceleration نقج G وطبعا إشارة السلب بيقول لي ليش؟
+
+350
+00:26:36,610 --> 00:26:39,010
+الـ positive sense is taken upward زي ما احنا
+
+351
+00:26:39,010 --> 00:26:45,270
+متعودين تمام وحركة عضوية with قداش Ax بعدها؟ Zero
+
+352
+00:26:45,270 --> 00:26:49,950
+يعني constant velocityما زال الـ acceleration صفر،
+
+353
+00:26:49,950 --> 00:26:54,150
+إذا السرعة السينية ثابتة، ما تتغير، ما فيش حد
+
+354
+00:26:54,150 --> 00:26:59,070
+يغيرها، ما هو ما حد بيغيرها إلا acceleration، لأن
+
+355
+00:26:59,070 --> 00:27:02,510
+الـ acceleration إيش تعريفها؟ معدل تغير سرعة
+
+356
+00:27:02,510 --> 00:27:06,230
+بالنسبة للزمن، في acceleration في تغير في السرعة،
+
+357
+00:27:06,230 --> 00:27:09,390
+مافيش acceleration، السرعة ماتتغيرش، لأن هو اللي
+
+358
+00:27:09,390 --> 00:27:12,770
+بيجيس التغير هو الـ acceleration، ما زال صفر إذا
+
+359
+00:27:12,770 --> 00:27:17,650
+مافيش تغير، يعني constant، تمام؟The formulas that
+
+360
+00:27:17,650 --> 00:27:20,690
+govern the motion of a projectile is then .. بيقول
+
+361
+00:27:20,690 --> 00:27:26,750
+ليه؟ ابدأ اشتغل Horizontal motion، كم تصاروحها؟
+
+362
+00:27:26,750 --> 00:27:30,570
+Zero و Vertical motion، هدا هي زكية التلات
+
+363
+00:27:30,570 --> 00:27:38,410
+معادلات، بدنا نشتغلهم من أول و دي، هدا هما هنا
+
+364
+00:27:38,410 --> 00:27:43,290
+كان في عندي قانون بيقول Vx لسه V not X plus Ax في
+
+365
+00:27:43,290 --> 00:27:46,980
+الـP صحيه يا بنات ولا لأ؟أيش بتعمل في الـ A X هل
+
+366
+00:27:46,980 --> 00:27:53,140
+جيت؟ سفر سفر معناه سفر هذا الterm روح ايش معناته
+
+367
+00:27:53,140 --> 00:27:57,820
+هذه السرعة الابتدائية بتساوي السرعة النهائية يعني
+
+368
+00:27:57,820 --> 00:28:01,660
+السرعة بتتغير؟ ما تقولوا حكاية أنها ثابتة شغلها
+
+369
+00:28:01,660 --> 00:28:05,240
+منطقية إذا هذا ما جابليش معلومة ماستفدتش منهم أنا
+
+370
+00:28:05,240 --> 00:28:08,120
+عارفها مقوللي السرعة ثابتة يعني السرعة الصينية
+
+371
+00:28:08,120 --> 00:28:14,380
+بتساوي السرعة الصادية القرون اللي تاني جالي Xبساوة
+
+372
+00:28:14,380 --> 00:28:20,080
+V0 XT زي أد نص A XT تربيها صح ولا لأ؟ في الجدول
+
+373
+00:28:20,080 --> 00:28:26,740
+اللي جابله مكتوب عنكم إيش بده يحط محل هذه؟ بس وهذه
+
+374
+00:28:26,740 --> 00:28:28,380
+يا عزيزي مثال هذا القانون اللي أخدناه في
+
+375
+00:28:28,380 --> 00:28:31,900
+الابتدائية المسافة بالسوء الصراع في الزمن وهذا
+
+376
+00:28:31,900 --> 00:28:35,340
+وقتش بيكون صحيح لما يكون الصراع ثابتة وهي الصراع
+
+377
+00:28:35,340 --> 00:28:39,540
+ثابتة طبعا هذي جيتنا بنجعلها هذي خلينا X بساوة V0
+
+378
+00:28:39,540 --> 00:28:46,450
+XTتمام؟ طب التالت كل التالت اللي بعرفه انا V تربيع
+
+379
+00:28:46,450 --> 00:28:53,590
+بيسوا V not X تربيع plus 2AX في X مظبوط ولا لا؟
+
+380
+00:28:53,590 --> 00:28:59,710
+هذا يجمله بروح بصير هذا و نفسه هذا و نفسه هذا يعني
+
+381
+00:28:59,710 --> 00:29:04,670
+هذا التأكيد للمعلومة الأولى أن السرعة ثابتة صحيح
+
+382
+00:29:04,670 --> 00:29:10,520
+ولا لا؟ هناجالي يجيبني الـ A Y ويحط محلها سالب G
+
+383
+00:29:10,520 --> 00:29:16,340
+صح ولا لأ؟ هذه هي نفسها وهذه نفسها اتطلعوا عليها
+
+384
+00:29:16,340 --> 00:29:22,220
+هدول هدول و الله نفسهم قوانين السقوط الطويلة و لو
+
+385
+00:29:22,220 --> 00:29:26,660
+هي زيها ذاكرها شرط السالب كنا ماحد يغيرها مذاكرها
+
+386
+00:29:26,660 --> 00:29:32,370
+كنا ماحد يغيرها أمها دولوانجلبش شيء نفسهم بس هناك
+
+387
+00:29:32,370 --> 00:29:35,510
+ماكنتش حط Y عشان كانت لحالها ال V فهنا رجعت بدي
+
+388
+00:29:35,510 --> 00:29:39,090
+اميزها بينها و بين V X و هنا كان في V Not هنا بدي
+
+389
+00:29:39,090 --> 00:29:42,690
+حطت V Not Y ان السرعة التدائية الصادية بس هي اللي
+
+390
+00:29:42,690 --> 00:29:48,090
+غيرته باقي كل شي واحد اذا بيقوللي ال projectile
+
+391
+00:29:48,090 --> 00:29:53,510
+motion هي مجموعة حركتينصادية سقوط حُر وصينية بسرعة
+
+392
+00:29:53,510 --> 00:29:57,330
+ثابتة صح ولا لأ صادية سقوط حُر اللي بتعرفوه نفسه
+
+393
+00:29:57,330 --> 00:30:01,350
+بس الصينية جي جي جيت و الصينية اسم قلتها ان مافيش
+
+394
+00:30:01,350 --> 00:30:04,090
+عندك إلها إلا معادلة واحدة هذه مش معادلة ولا هذه
+
+395
+00:30:04,090 --> 00:30:08,590
+معادلة هذه تأكيد لمعلومة أن الصراع مالها ثابتة
+
+396
+00:30:08,590 --> 00:30:12,290
+يعني مرات ال track اللي بيجي بقول أوجد الصراع
+
+397
+00:30:12,290 --> 00:30:16,700
+الصينية النهائيةيجي الواحد يقول يا ورد يي يلّا
+
+398
+00:30:16,700 --> 00:30:20,240
+نشمر، بينحلها الصراع التدائية معطية لكم، بيقعد
+
+399
+00:30:20,240 --> 00:30:23,160
+يشمل ويخترع ويجيب قوانين، بيروح ويقولك يا الله
+
+400
+00:30:23,160 --> 00:30:25,800
+واتش قوانين من هنا، ليش حاجة للقانون منها، بياخد
+
+401
+00:30:25,800 --> 00:30:30,300
+القانون اللي زيها، بورطة، مش ان الواحد .. لما
+
+402
+00:30:30,300 --> 00:30:33,280
+الواحد يكون شغلا ومش ناجيها، مش أشحك من درجلان
+
+403
+00:30:33,280 --> 00:30:37,220
+الغلط، لأ، خلاص، مافيش .. شوف لك حاجة جديدة، بيكون
+
+404
+00:30:37,220 --> 00:30:40,700
+المعلومة المبينة جدامك أسهل من إيه، كتير طلاب عشان
+
+405
+00:30:40,700 --> 00:30:46,350
+يجيبوا الصراع النهائية الصينية والتبس هو .. نفترج
+
+406
+00:30:46,350 --> 00:30:48,590
+إن الصراع التدائية الصينية خمسة، قال لا جديش
+
+407
+00:30:48,590 --> 00:30:52,410
+النهائية، خمسة، مش تروح تجيبلي قلوب منها و
+
+408
+00:30:52,410 --> 00:30:56,150
+تطلعليها عشرين، لا، ما هي بتتغيرش، هذه المعلومة
+
+409
+00:30:56,150 --> 00:30:59,490
+اللي انها انثبتها، و هي اتكررت هنا إن الصراع
+
+410
+00:30:59,490 --> 00:31:03,070
+الصينية النهائية ولا التدائية لا تتغير
+
+411
+00:31:05,660 --> 00:31:10,900
+طبعا بقول هدى هيك بس مجرد لو اجيت انا بدي اعوض
+
+412
+00:31:10,900 --> 00:31:18,180
+معاقد T اجيبها من هان و اعوضها هان او sorry اجيب
+
+413
+00:31:18,180 --> 00:31:20,840
+ال T من هان و اعوضها هان بدي اجيب ال T من هان يا
+
+414
+00:31:20,840 --> 00:31:25,620
+بنات و اعوضها هان طبعا بجيب علاقة بين Y و X بالصين
+
+415
+00:31:25,620 --> 00:31:33,520
+صح؟ يعني هجدش T يا بنات T بتساوي X على Not X طبعا
+
+416
+00:31:33,520 --> 00:31:44,750
+جالى اعوض هنابصير Y equal V0 Y وهنا X على V0 X صح
+
+417
+00:31:44,750 --> 00:31:51,670
+ولا لأ؟ minus half G بدل T تربيع X تربيع على V0 X
+
+418
+00:31:51,670 --> 00:31:56,830
+تربيع شوفوا المعادلة هذي Y و X و X تربيع برابولة
+
+419
+00:31:56,830 --> 00:32:03,670
+ولا مش برابولة؟ مافضلتوش ال calculus القطع الناقص
+
+420
+00:32:05,500 --> 00:32:10,940
+أخدوها في توجيه النقص نسميها parabola بس هتاخدوها
+
+421
+00:32:10,940 --> 00:32:16,460
+في ال calculus عم كويس أسمعتوا أن صاد بيساوي سين
+
+422
+00:32:16,460 --> 00:32:23,600
+تربيع كتر سن؟ كيف ترسموها؟ زي الزبدة الكبيرة هذه
+
+423
+00:32:23,600 --> 00:32:27,860
+parabola تمام؟ هذه ال parabola بيقولوا لو واحد
+
+424
+00:32:27,860 --> 00:32:31,700
+عوّض بس هذه مش مهمة كتير انا هيك بس بعملها طلع هذه
+
+425
+00:32:31,700 --> 00:32:37,270
+المعادلةيقول لي لو أجيت أنا بدي أشوف أقذف الجسم
+
+426
+00:32:37,270 --> 00:32:44,070
+بهذا الشكل قطعا هتطلع هيك ولا لأ؟ هذا المسار تبعه
+
+427
+00:32:44,070 --> 00:32:49,490
+تبعه يكون هيك تقريبا، صح؟ وهذا أيش الرسمة في
+
+428
+00:32:49,490 --> 00:32:52,330
+الرياضيات؟ هذه نسميها برابولة هتاخدوها في
+
+429
+00:32:52,330 --> 00:32:54,650
+الكلكورة، لا تخافوش، كمان شوية، يمكن السبوع الجاى
+
+430
+00:32:55,550 --> 00:32:59,870
+هي كل أسبوع اللي جاي احنا فاتلينهم شوية هتخطوها في
+
+431
+00:32:59,870 --> 00:33:03,330
+توجيهي بس هتخطوها قطرة ناقص اظن انها مكافئة مكافئة
+
+432
+00:33:03,330 --> 00:33:09,370
+هذا؟ اه الناقص هو ال ellipse المهم تمام فهتاخدوها
+
+433
+00:33:09,370 --> 00:33:13,590
+مش مهم هذه بس عشان اتبين ان الرسم هذه حتى رياضيا
+
+434
+00:33:13,590 --> 00:33:17,770
+بثبتها الكيف تبعها حتى رياضيا ممكن نثبتها لكن مش
+
+435
+00:33:17,770 --> 00:33:22,000
+مهمة كتير تمام هذه الصورة الابتدائية طبعا هيهاسرعة
+
+436
+00:33:22,000 --> 00:33:24,820
+اتدائية إلها مركبة سنية ولا مركبة صديقية ولا لأ؟
+
+437
+00:33:24,820 --> 00:33:28,540
+تمام ومن ضالنا مياشي هنا بسمي أقصى الارتفاع ولا لأ
+
+438
+00:33:28,540 --> 00:33:31,540
+لأن بعد كده بيبدأ ينزل فهذه المسافة بسميها أقصى
+
+439
+00:33:31,540 --> 00:33:35,220
+الارتفاع يا بنات اتش ماكسيماع سرعة اتس سرعة ساتس
+
+440
+00:33:35,220 --> 00:33:40,800
+طيب خليكي انت منيح اللي حكيتي عن الكلمة هذه حلو
+
+441
+00:33:40,800 --> 00:33:43,860
+سنة شوية السرعة
+
+442
+00:33:45,940 --> 00:33:53,060
+عشان تكون السفر مركبتيها سفر، بس الصادية سفر، بس
+
+443
+00:33:53,060 --> 00:33:56,920
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+444
+00:33:56,920 --> 00:33:57,240
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+445
+00:33:57,240 --> 00:33:57,920
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+446
+00:33:57,920 --> 00:34:03,720
+الصادية سفر، بس الصادية سفر، بس الصادية سفر، بس
+
+447
+00:34:03,720 --> 00:34:05,420
+الصادية سفر،
+
+448
+00:34:07,790 --> 00:34:14,150
+V0X لأن V0Y هو S في الـ VY و VX هي V0X فستجدون في
+
+449
+00:34:14,150 --> 00:34:18,490
+الـ quiz أن السرعة و أول جواب ستجدون Zero لأن اللي
+
+450
+00:34:18,490 --> 00:34:22,170
+يريد Y يجده اللي متعود عليه و لم يجلب نفسه يبحث
+
+451
+00:34:22,170 --> 00:34:26,090
+عليه سيجده Zero إذا السرعة عند أقصر ارتفاع ممنوع
+
+452
+00:34:26,090 --> 00:34:30,680
+تقول Zero سرعته الصاضية هي Zeroتمام؟ لأنه هنا و هو
+
+453
+00:34:30,680 --> 00:34:34,460
+بيمشي بيكون عند هذه النقطة هيك لكن هنا هي سرعته
+
+454
+00:34:34,460 --> 00:34:37,740
+السرعة دايما مماس، مذاكرين ولا لا؟ وبالتالي شوفوا
+
+455
+00:34:37,740 --> 00:34:41,560
+عند النقطة هذه بيكون الجلم الأحمر اللي مركبتين لكن
+
+456
+00:34:41,560 --> 00:34:45,720
+عند أقصى ارتفاع مركبته فقط أفقيا، صح؟ وبالتالي إيش
+
+457
+00:34:45,720 --> 00:34:51,040
+معناته؟ إن السرعة الصاضية هي السفر فقط أما سرعته
+
+458
+00:34:51,040 --> 00:34:56,850
+ماهيجش سفر، تمام؟طبعا، ما حصلت أنا؟ عند أقصر
+
+459
+00:34:56,850 --> 00:35:01,930
+ارتفاع؟ شو الصغير؟ الـY هذه المسافة بيسموها الـ
+
+460
+00:35:01,930 --> 00:35:08,590
+Range المدى تبع القضيفة المدى تمام؟ تم إذن عمليتنا
+
+461
+00:35:08,590 --> 00:35:14,690
+عملية سهلة ومافيش حاجة جديدة أخدناها إيش هذا؟
+
+462
+00:35:14,690 --> 00:35:21,370
+خليني نشوف هذا المثال الحلو الـ projectile is
+
+463
+00:35:21,370 --> 00:35:27,380
+fired fired يعني أطلقتis fired from point O من
+
+464
+00:35:27,380 --> 00:35:32,660
+نقطة الـ origin with initial speed V0 السرعة
+
+465
+00:35:32,660 --> 00:35:38,120
+الإبتدائية V0 مابتديش أخد عقاب that makes an angle
+
+466
+00:35:38,120 --> 00:35:41,980
+θ with the horizontal as shown in the figure قاللي
+
+467
+00:35:41,980 --> 00:35:48,120
+هاي ال figure تبعتك اللي هو هذايسم، ضربته من نقطة
+
+468
+00:35:48,120 --> 00:35:52,460
+الأصل، بسرعة ابتدائية، بتعمل زاوية رمصها برنامج
+
+469
+00:35:52,460 --> 00:35:58,860
+ثيتا، تمام؟ وإيش بده؟ بنشوف Find the maximum
+
+470
+00:35:58,860 --> 00:36:03,380
+height، بدي أقصى ارتفاع، طب أقصى ارتفاع سيني ولا
+
+471
+00:36:03,380 --> 00:36:06,340
+صاضي؟ صاضي، إذا بدنا نروح على المعادلة الصادية، دي
+
+472
+00:36:06,340 --> 00:36:10,520
+بالكم، حلو؟ Find the horizontal range، ال range
+
+473
+00:36:10,520 --> 00:36:12,700
+سيني ولا صاضي؟ سيني، إذا بدنا نروح على المعادلة
+
+474
+00:36:12,700 --> 00:36:16,630
+الصينية، وكم معادلة هما؟واحدة .. واحدة .. الـ TNT
+
+475
+00:36:16,630 --> 00:36:22,130
+هذاك مكرريني معلومة سئلة العملية solution بقولي
+
+476
+00:36:22,130 --> 00:36:28,290
+أول حاجة عشان اتجسم صح كل معطياتك اتجسمليها نشوف
+
+477
+00:36:28,290 --> 00:36:34,250
+ايش المعطيات هذه مش هتعطانيها ثيتا .. فهي لها ثيتا
+
+478
+00:36:34,250 --> 00:36:38,690
+صيني و صاضي؟ لأ .. ثيتا ثيتا هذه .. هحطها صينية
+
+479
+00:36:38,690 --> 00:36:42,850
+ولا صاضية؟ صينية و صاضية .. مين اللي قال صينية هو
+
+480
+00:36:42,850 --> 00:36:49,100
+يزعج الصاضية؟بنفعش صينية وصادية طب كيف أعملها؟
+
+481
+00:36:49,100 --> 00:36:53,120
+جالي و أنا في سبتر واحد علمتك اتحلل ليش؟ عشان هذه
+
+482
+00:36:53,120 --> 00:36:59,640
+بتتحلل فهذه بتتحلل إلى مركبة هيك اسمها V0 Cos θ و
+
+483
+00:36:59,640 --> 00:37:06,380
+هيك V0 Sin θ هجيت أسأل السرعة الإبتدائية الصينية
+
+484
+00:37:06,380 --> 00:37:15,780
+جديش؟ ليش؟ ليش صفرتوها؟ هذه إيش هي؟V0 Cos فيتا
+
+485
+00:37:15,780 --> 00:37:21,800
+تبقى قصادية V0 Cos فيتا إذا السرعة الإبتدائية اللي
+
+486
+00:37:21,800 --> 00:37:27,080
+كانت مش مجسومة قسمتها سنة قصادية باستخدام مهارة
+
+487
+00:37:27,080 --> 00:37:31,540
+بعرفها بحل ال vector صح ولا لأ؟ ماعندي مشكلة في حد
+
+488
+00:37:31,540 --> 00:37:34,940
+ماعرفش أحلل لحد الآن خلصنا من الشطر الأول اللي
+
+489
+00:37:34,940 --> 00:37:45,000
+بحلل ال vectors إذا بقولي firstنحن نحصل على V0x
+
+490
+00:37:45,000 --> 00:37:51,020
+V0cosθ V0y
+
+491
+00:37:51,020 --> 00:37:54,180
+V0sinθ
+
+492
+00:37:54,180 --> 00:38:03,540
+تما الآن at maximum height ماهو الصفر؟VY وروحت على
+
+493
+00:38:03,540 --> 00:38:09,360
+معادلاتي بالاتجاه الصاضي اكتبهم المعادلات تعوني
+
+494
+00:38:09,360 --> 00:38:13,840
+هدا هم كمان مرةهذه X وهذه Y هذه في الشكل القانوني
+
+495
+00:38:13,840 --> 00:38:20,260
+الوحيد V0 X في T وهنا بيقول VY equal V0 Y minus GT
+
+496
+00:38:20,260 --> 00:38:25,720
+وY equal V0 Y في T minus half GT square و VY
+
+497
+00:38:25,720 --> 00:38:30,260
+square equal V0 Y square minus 2GY هم المعجلات
+
+498
+00:38:30,260 --> 00:38:38,510
+تمام اتفقنا أول مطلوب صاضي ولا مش صاضي صاضي هناأنا
+
+499
+00:38:38,510 --> 00:38:41,930
+مش ميعطيني زمان، لا هادي ولا هادي بتنفعلي، صح؟
+
+500
+00:38:41,930 --> 00:38:46,350
+هادي جالي طب الصورة النهائية الصادية، عن أقصى
+
+501
+00:38:46,350 --> 00:38:50,610
+الارتفاع، إذا هادي صفر، صح؟ ما زال هادي صفر، بدي
+
+502
+00:38:50,610 --> 00:38:55,930
+هادي منها، طبعي، و هادي ما هيني جيبتها هادي، V نصف
+
+503
+00:38:55,930 --> 00:39:00,850
+صين الثيتا، تمام؟ إذا at the maximum height using
+
+504
+00:39:00,850 --> 00:39:07,830
+the equation اللي هي هاديصحيح؟ حطيت هنا سفر طلعت
+
+505
+00:39:07,830 --> 00:39:11,690
+zero equal V naught بعدها عوضت محل V naught Y من
+
+506
+00:39:11,690 --> 00:39:17,030
+هنا يا بنات صحيح؟ V naught sin θ تربيع نقص 2G H ال
+
+507
+00:39:17,030 --> 00:39:20,790
+Y خلتها H لأنها صارت maximum high إذا من هنا بقدر
+
+508
+00:39:20,790 --> 00:39:24,350
+أقول H بالساوية ربعي هادي وربعي هادي على 2G ولا
+
+509
+00:39:24,350 --> 00:39:33,580
+لأ؟ في صعوبة؟ مافيش صعوبةكمان مرة، أي استفسار؟
+
+510
+00:39:33,580 --> 00:39:39,720
+ساكتين كلكم وفاهمين أكيد؟ هو
+
+511
+00:39:39,720 --> 00:39:43,620
+هيك بدأ المزلغ بالرمز عشان Y أي قيمة لـY يعني Y
+
+512
+00:39:43,620 --> 00:39:46,400
+ممكن تكون خمسة أو تلاتة أو اتنين، صح ولا لأ؟ أقصى
+
+513
+00:39:46,400 --> 00:39:50,660
+ارتفاع برمزولها بالرمز أتش من كلمة heightبقى رمز
+
+514
+00:39:50,660 --> 00:39:53,920
+يعني قولي اقصر تفاع و حطي Y و قولها اقصر تفاع
+
+515
+00:39:53,920 --> 00:39:57,920
+بالبرصاص و تمشي تعرفيها انها اقصر تفاع بس رمز هذا
+
+516
+00:39:57,920 --> 00:40:04,400
+مش اكتر عشان يميزها عن اي Y احكي عمرها
+
+517
+00:40:04,400 --> 00:40:10,680
+مابتكون صفر الا اذا كانfree-falling body لأن لو
+
+518
+00:40:10,680 --> 00:40:15,000
+سرقة الإبتدائية الصينية سفر، بيبقى لها سفر، بتتغير
+
+519
+00:40:15,000 --> 00:40:18,480
+إيش لها؟ وهذا مسبق، بتتأتاش إلى بيسقط الحر، اللي
+
+520
+00:40:18,480 --> 00:40:26,860
+بيروح عمودي، صح ولا لأ؟ هذي حسب السؤال، حسب السؤال
+
+521
+00:40:26,860 --> 00:40:33,000
+إيش بده في المطلوب التاني يا بنات؟ ال range،
+
+522
+00:40:33,000 --> 00:40:39,570
+شفتهوا على الرسم ال range؟ اللي هي هذه المسافةهذه
+
+523
+00:40:39,570 --> 00:40:45,330
+المسافة سنية ولا صادية؟ سنية، سن شويه بس جالي
+
+524
+00:40:45,330 --> 00:40:49,970
+اتنقناه؟ في غيرها معادلة؟ المرة دي ماكنش معانا
+
+525
+00:40:49,970 --> 00:40:52,970
+زمان، قلنا نروح على المعادلة هادي هادي وهادي،
+
+526
+00:40:52,970 --> 00:40:57,120
+كانوا فيها زمان، لجينا بديل، في بديل أخرها؟وهنا
+
+527
+00:40:57,120 --> 00:41:00,320
+ماذا يفعل؟ قال لي ليس هناك مجادة يجيبني الزمن غصب
+
+528
+00:41:00,320 --> 00:41:05,260
+عنك ولا بتقدر تطلع X صح ولا لأ؟ هنا ليس هناك غلال
+
+529
+00:41:05,260 --> 00:41:10,220
+معادلة فيها زمن بدك تدور عليه و بدك تعرف تجيبها
+
+530
+00:41:10,220 --> 00:41:15,540
+كيف أجيبها قال لي رجع لرسمها انت شوية واحدة واحدة
+
+531
+00:41:15,540 --> 00:41:24,860
+أولا الزمن صيني ولا صاضي؟لا هيك ولا هيك هذي ريحتني
+
+532
+00:41:24,860 --> 00:41:29,480
+قال إيه أنا بنفع أشحته من الصاضي؟ أه، بنفع لأنه ما
+
+533
+00:41:29,480 --> 00:41:33,320
+هوش حكل على الصاضي ولا حكل على الصيني من الطلبة زي
+
+534
+00:41:33,320 --> 00:41:37,500
+ما بيسموها مظبوط ولا لأ تمت، غيرت الصاد طبيعتها،
+
+535
+00:41:37,500 --> 00:41:45,280
+إذا to find the range the y displacement from the
+
+536
+00:41:45,280 --> 00:41:49,630
+initial point to the final point is zeroإذاً
+
+537
+00:41:49,630 --> 00:41:55,250
+معناته عشان تطلع الزمن الكلي بيكون Y في هذه الحالة
+
+538
+00:41:55,250 --> 00:41:59,990
+Zero قال إذا معناته لو عوضت هنا بتطلع الزمن عشان
+
+539
+00:41:59,990 --> 00:42:03,110
+تجيب ال range ولا لأ؟ آه هذا الزمن اللي جيبته من
+
+540
+00:42:03,110 --> 00:42:08,110
+هنا تقدر تعوضه في ال X؟ آه لأن X وY لهم نفس الزمن
+
+541
+00:42:08,110 --> 00:42:13,870
+تمامي هيك ولا؟ تمام إذاً بيقولليto find the range
+
+542
+00:42:13,870 --> 00:42:17,850
+we need the time of a flight خطعة نبدي زمان لإن
+
+543
+00:42:17,850 --> 00:42:20,850
+مافيش غير ان لها معادلة و no way أروح على معادلة
+
+544
+00:42:20,850 --> 00:42:24,070
+مافيش فيها زمان تمام noting that for the total
+
+545
+00:42:24,070 --> 00:42:28,590
+time of a flight قدش Y؟ Zero X اتغيرت لكن Y ما
+
+546
+00:42:28,590 --> 00:42:32,450
+اتغيرتش يعني هي كانت من ها لها X اتغيرت لكن Y ما
+
+547
+00:42:32,450 --> 00:42:36,910
+اتغيرتش الارتفاع تبعها ما اتغيرتش راح و رجع راح و
+
+548
+00:42:36,910 --> 00:42:40,770
+رجع راح ع جباليا و رجع فبالتالي الهزاحة تبعته Zero
+
+549
+00:42:40,770 --> 00:42:45,050
+من الطلع و نزلطلع خمسة متر و ننزل خمسة متر جداش
+
+550
+00:42:45,050 --> 00:42:50,390
+المعاصلة؟ Zero ك Y لكن ك X لأ كان في هنا صار هنا
+
+551
+00:42:50,390 --> 00:42:55,250
+فإيه ال range؟ تمام إذا بيقوللي استخدمي المعادلة
+
+552
+00:42:55,250 --> 00:43:02,370
+هذه و حط محل Y جداش؟ Zero مازال هذه Zero لو أنتي
+
+553
+00:43:02,370 --> 00:43:07,370
+اتعودت أنا هنا مش سرع Denote في Y في T minus half
+
+554
+00:43:07,370 --> 00:43:12,920
+G T square بقدر أجسم المعادلة على T؟صح؟ لما أدسم
+
+555
+00:43:12,920 --> 00:43:18,320
+على T، هذي بتروح و هذي بتروح، إذا T بيسوا 2 V0 Y
+
+556
+00:43:18,320 --> 00:43:24,860
+على G، صح؟ و V0 Y بيسوا V0 Sine Theta، إذا بيقول
+
+557
+00:43:24,860 --> 00:43:28,300
+هاي الزمن اللي انت مغالف باك، هيك جيبته، طيب جيبه
+
+558
+00:43:28,300 --> 00:43:33,500
+عوضه هنا، هذا الزمن، بدي أجيبه من هنا و أحطه هناصح
+
+559
+00:43:33,500 --> 00:43:37,040
+ولا لا؟ خلاص، جاهز عندى والمعادلة الوحيدة اللى انا
+
+560
+00:43:37,040 --> 00:43:42,720
+بقدر استخدمها now substituting عوض for T in the
+
+561
+00:43:42,720 --> 00:43:48,920
+equation الصينية الوحيدة تمام، قلّي بالصين عندك V
+
+562
+00:43:48,920 --> 00:43:53,040
+not في X، sorry،
+
+563
+00:43:53,040 --> 00:43:59,100
+هاي V not في Xبدلة T جيب 2 صح؟ تمام هذه ممكن اعوض
+
+564
+00:43:59,100 --> 00:44:05,020
+عنها ولا لا؟ مش هي V0 Cos فتة؟ تمام إذا حطيت V0 و
+
+565
+00:44:05,020 --> 00:44:10,800
+V0 صارت V0 تربية طيب هذه خلصت السؤال هجيت 2 Sin
+
+566
+00:44:10,800 --> 00:44:16,920
+فتة Cos فتة شفتوا هذا قبل كده؟ Sin 2 فتة إيه اللي
+
+567
+00:44:16,920 --> 00:44:23,220
+بده يعيزي يظبط سؤاله؟ بكتبها هيكوكتوب هيك اللي
+
+568
+00:44:23,220 --> 00:44:26,980
+بدته و اللي بيقول بيكفيك بيقول اللي بيكفيني الأولى
+
+569
+00:44:26,980 --> 00:44:30,760
+نية بتاع ما بيكفيني يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JyBFRgVCtFM_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JyBFRgVCtFM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dcbfb3d1c03b81cc3e8898679c28d5d2a7a22b56
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/JyBFRgVCtFM_postprocess.srt
@@ -0,0 +1,1964 @@
+1
+00:00:20,940 --> 00:00:24,040
+بسم الله الرحمن الرحيم نبدأ الآن بال chapter two
+
+2
+00:00:24,040 --> 00:00:29,420
+العنوان تبعه هو ال linear motion أو الحركة القطية
+
+3
+00:00:29,420 --> 00:00:34,440
+one dimension يعني، بس عندي بعض واحد، عندي scene
+
+4
+00:00:34,440 --> 00:00:38,480
+لحاله، صد لحاله، عين لحاله، مانفعش يكون عندي حركة،
+
+5
+00:00:38,480 --> 00:00:41,940
+ال chapter التالت هناخد الحركة المستويةاللي بتكون
+
+6
+00:00:41,940 --> 00:00:46,880
+بـ two dimensions بقعدين سيني و صاضي لكن الآن فقط
+
+7
+00:00:46,880 --> 00:00:51,540
+اللي عنده الحركة هتكون باتجاه واحد linear motion
+
+8
+00:00:51,540 --> 00:00:55,360
+طبعا اتفقنا ال chapter الأولاني المقدمة اللي كنا
+
+9
+00:00:55,360 --> 00:00:58,880
+نحكي عن قياسات و كنا نحكي عن vectors الآن بدنا نخش
+
+10
+00:00:58,880 --> 00:01:02,080
+في علم الحركة ال kinematics أو علم الميكانيكا
+
+11
+00:01:02,080 --> 00:01:05,860
+بصورة عامة بصورته الحقيقية و بدنا نبدأ نتعامل مع
+
+12
+00:01:05,860 --> 00:01:12,200
+كميات فيزيائية حقيقية من البداية فمن أولهيكون عندى
+
+13
+00:01:12,200 --> 00:01:16,880
+اول حاجة اسمها الـ Average Velocity او السرعة
+
+14
+00:01:16,880 --> 00:01:21,460
+المتوسطة Average Velocity Velocity كررتها كتير انا
+
+15
+00:01:21,460 --> 00:01:27,260
+هى السرعة تمام ففي ال Average Velocity طبعا كلكم
+
+16
+00:01:27,260 --> 00:01:31,200
+بتعرفوا انتوا جايين على الجامعة وجيتوا سيارة تمام
+
+17
+00:01:32,100 --> 00:01:35,220
+هل أول ماركبته لما وصلته الجامعة طول ما هي ماشي
+
+18
+00:01:35,220 --> 00:01:40,020
+السيارة على سرعة واحدة؟ أكيد أسعت و أتجفت و بطعت
+
+19
+00:01:40,020 --> 00:01:45,520
+بحسب لكن في النهاية أنا بديش السرعة عند لحظات
+
+20
+00:01:45,520 --> 00:01:50,280
+كتيرة و كم كانت بطيئة جديش لأ جالي كمتوسط كأذريشي
+
+21
+00:01:50,280 --> 00:01:54,420
+كم كانت سرعة السيارة بقول والله نفترض أن المسافة
+
+22
+00:01:54,420 --> 00:01:59,240
+بين داري و الجامعة عشرة كيلو أخدت معايا نص ساعة
+
+23
+00:01:59,760 --> 00:02:05,260
+صحيح ولا لأ؟ فبقول العشرة عن نص أو على أكمت جيجا
+
+24
+00:02:05,260 --> 00:02:10,060
+بقدر أجيب متوسط السرعة صحيح ولا لأ؟ إذن أنا الآن
+
+25
+00:02:10,060 --> 00:02:14,020
+بتعامل مع شغل متوسطة هذه هي الـAverage Velocity
+
+26
+00:02:14,020 --> 00:02:18,320
+إذن الـAverage Velocity of a particle is defined
+
+27
+00:02:18,320 --> 00:02:23,080
+as إيشية بالسواء جديش المسافة اللي اتمشت أو لزاحة
+
+28
+00:02:23,080 --> 00:02:27,760
+القطع على الفترة الزمنية اللي استغرقتهافدلتا X على
+
+29
+00:02:27,760 --> 00:02:32,720
+دلتا T دلتا دائما هذا الرمز بيجي عشان ديكي معدل
+
+30
+00:02:32,720 --> 00:02:39,480
+التغير فهو X final نقص X initial هذا ال F جاي من
+
+31
+00:02:39,480 --> 00:02:45,980
+اختصار كلمة final اللي هونهائي وهذا initial
+
+32
+00:02:45,980 --> 00:02:53,680
+ابتدائي اذا final minus initial بيعطيك الفترة اللي
+
+33
+00:02:53,680 --> 00:02:58,140
+قطعتها سيارة و لا particle و لا اي حاجة على delta
+
+34
+00:02:58,140 --> 00:03:02,900
+T و هو T final نقص T initial طبعا كلنا بنعرف دائما
+
+35
+00:03:02,900 --> 00:03:06,380
+T initial يعتبر سفر الواحد لما يجي يجي الزمن و
+
+36
+00:03:06,380 --> 00:03:09,960
+معاه ساعة ايقاف ببدأ من ال zero مظبط ولا لأ؟طب على
+
+37
+00:03:09,960 --> 00:03:12,280
+الرغم من أننا نحط في فيانة نقص T initial كافية
+
+38
+00:03:12,280 --> 00:03:15,260
+يعني نفترض أنه أنا بدأت على التسعة معناته T
+
+39
+00:03:15,260 --> 00:03:19,640
+initial 9 وصلت 9.5 معناته T final ماجددش 9.5 لكن
+
+40
+00:03:19,640 --> 00:03:23,140
+لو عندي ساعة إيقاف ببدأ من ال zero و بتكون T
+
+41
+00:03:23,140 --> 00:03:27,260
+initial zero و بتعد ساعتها تلاتين دقيقة و بتعمل
+
+42
+00:03:27,260 --> 00:03:31,910
+معها على هذه الأساس فبالتالي المحصلةجدّاش الإزاحة
+
+43
+00:03:31,910 --> 00:03:35,370
+اللي قطعتها السيارة أو الـ particle بصورة إيمالية
+
+44
+00:03:35,370 --> 00:03:40,570
+على الزمن اللي سغرقتها في قطع هذه الإزاحة وبيكون
+
+45
+00:03:40,570 --> 00:03:45,410
+هوا ده السرعة المتوسطة تم
+
+46
+00:03:47,270 --> 00:03:51,570
+بيقول لي من هذا القانون الـ Average Velocity اللي
+
+47
+00:03:51,570 --> 00:03:55,090
+انت عرفتلي إياها depends only on the initial and
+
+48
+00:03:55,090 --> 00:03:59,290
+the final positions of the particle بس بيعتمد على
+
+49
+00:03:59,290 --> 00:04:04,330
+نقطة البداية و نقطة النهاية و بس بمعنى أخر لو أنا
+
+50
+00:04:04,330 --> 00:04:11,190
+إجيت جيبت سيارة طلعت من مفترج السجعية إجت على
+
+51
+00:04:11,190 --> 00:04:14,910
+الجامعة و راحت على مفترج السجعية و رجعت وين كانت؟
+
+52
+00:04:16,480 --> 00:04:21,720
+في الشجاية وفي الآخر ورمي جعدت تمام لما بدي أقول
+
+53
+00:04:21,720 --> 00:04:25,580
+كده متوسط سرعتها نقطة البداية ونقطة النهاية واحدة
+
+54
+00:04:25,580 --> 00:04:30,820
+و لا لا طبق في القانون في الآخر حاجة نقص حاجة
+
+55
+00:04:30,820 --> 00:04:35,880
+نفسها بصلاحياتيش الجواب Zero تمام مع أن السيارة
+
+56
+00:04:35,880 --> 00:04:39,480
+أخدت وجهته و لا ماخدتش وجاهته راحت و إجت و سحبت
+
+57
+00:04:39,480 --> 00:04:43,480
+منزيم وشغلات كتيرة صحيح و لا لابس على معنى نقطة
+
+58
+00:04:43,480 --> 00:04:47,060
+بداية و نقطة نهاية مازال نقطة البداية هي نفس نقطة
+
+59
+00:04:47,060 --> 00:04:52,220
+النهاية جدتش ال average velocity Z تمام؟ شغلتانية
+
+60
+00:04:52,220 --> 00:04:57,840
+هجدوا هناكرايحين على رفح تمام؟ و راكبين ال bus ما
+
+61
+00:04:57,840 --> 00:05:00,160
+شاء الله ال bus بيبقى في ميت وقفة و ممكن يميل
+
+62
+00:05:00,160 --> 00:05:03,640
+عنصرات و يميل عادل البلح و يميل .. لما يصر رفح لو
+
+63
+00:05:03,640 --> 00:05:06,600
+أنا بدي أجيب ال average velocity تبع ال bus أنا
+
+64
+00:05:06,600 --> 00:05:10,660
+أطلع من باب الجامعة و وصل .. خلينا نقول .. موقف
+
+65
+00:05:10,660 --> 00:05:14,160
+رفح ماليش دعوة في الطريق .. وين راح و وين إجا؟ أنا
+
+66
+00:05:14,160 --> 00:05:18,120
+أقيل دعوة وين كان و وين صار أما المسافات اللي in
+
+67
+00:05:18,120 --> 00:05:22,530
+between هذه بعملش حسابهاليه؟ لأنه نفترض بقاش
+
+68
+00:05:22,530 --> 00:05:26,350
+الصداقة تعود و ترجع، ما هو هذه محاصلة تجدش، فيها و
+
+69
+00:05:26,350 --> 00:05:30,950
+ماكنش دعوة فيها، تمام؟ إذن أنا معنى هنا فقط
+
+70
+00:05:30,950 --> 00:05:34,970
+بنقطتين، بداية و نهاية، في الطريق ماليش دعوة فيه و
+
+71
+00:05:34,970 --> 00:05:39,320
+مابنبرّع، إيه السوء في الطريق؟تمام؟ إذا هذه معلومة
+
+72
+00:05:39,320 --> 00:05:43,940
+جيدة إنه أنا بتعامل مع two points initial point و
+
+73
+00:05:43,940 --> 00:05:48,740
+final point و in between مايلهاش أي تأثير على
+
+74
+00:05:48,740 --> 00:05:54,140
+الجواب النهائي تبعي تمام؟ this means that if a
+
+75
+00:05:54,140 --> 00:05:57,820
+particle starts from a point بده من النقطة and
+
+76
+00:05:57,820 --> 00:06:00,920
+returns back to the same point رجع بده من الشجاعية
+
+77
+00:06:00,920 --> 00:06:05,630
+أو رجع للشجاعية تمام؟It's displacement اللي هي
+
+78
+00:06:05,630 --> 00:06:09,510
+الفجانية and so it's average velocity is zero الـ
+
+79
+00:06:09,510 --> 00:06:12,250
+average velocity is zero لأن ال displacement تبعته
+
+80
+00:06:12,250 --> 00:06:16,010
+zero و ال displacement هي جداش انتقل من نقطة
+
+81
+00:06:16,010 --> 00:06:20,510
+البداية و راح على نقطة النهاية ولا كان في نقطة ايه
+
+82
+00:06:20,510 --> 00:06:23,150
+و رجع الى نقطة ايه مافيش displacement وبالتالي
+
+83
+00:06:23,150 --> 00:06:26,830
+مافيش average velocity وقبع هذه النقطة ان ال
+
+84
+00:06:26,830 --> 00:06:29,490
+average velocity بتعامل مع two points initial and
+
+85
+00:06:29,490 --> 00:06:35,540
+final point تمامطيب .. قولي طيب و هذه المسافة لو
+
+86
+00:06:35,540 --> 00:06:39,520
+أنا جيت ورا السيارة مش بجيس أمطار إيش بعرفوها؟
+
+87
+00:06:39,520 --> 00:06:43,080
+بقولك بعرفوها distance .. مسافة .. مسافة .. إذا في
+
+88
+00:06:43,080 --> 00:06:46,500
+.. في فرق ما بين there is a difference between
+
+89
+00:06:46,500 --> 00:06:50,020
+distance and displacement إذا في صار الآن مفهوم
+
+90
+00:06:50,020 --> 00:06:52,940
+عشان تظبط معاه الأمور و اللي أنا بعرفه إن في
+
+91
+00:06:52,940 --> 00:06:57,380
+مسافات و لو في متر بجيسه و بطلع جديش مشيت السيارة
+
+92
+00:06:57,380 --> 00:07:01,140
+و لا جديش مشيت ال bus هذه بيسميها مسافة مش إزاحة
+
+93
+00:07:02,220 --> 00:07:06,740
+تمام؟ هناك فرق .. إيه الفرق؟ بيقولي distance الشية
+
+94
+00:07:06,740 --> 00:07:11,040
+.. بيقولي distance scalar quantityالتقارير هي كيلر
+
+95
+00:07:11,040 --> 00:07:14,720
+كوانتيتي وش تعريفها؟ it is the actual length of
+
+96
+00:07:14,720 --> 00:07:18,460
+the path هو الطول الحقيقي traveled by the particle
+
+97
+00:07:18,460 --> 00:07:21,580
+اللي مشيه ال particle يعني عشان أجيب المسافة تحت
+
+98
+00:07:21,580 --> 00:07:24,220
+ال bus اللي ماشي من الجامعة و أصل رفح أيش بدي
+
+99
+00:07:24,220 --> 00:07:27,000
+أسوي؟ بدي أجيب متر طويل و أين ما يروح ال bus بدي
+
+100
+00:07:27,000 --> 00:07:30,500
+أروح ورا صحيح ولا لأ؟ ما هي العنصرات ورا؟ رأع
+
+101
+00:07:30,500 --> 00:07:33,670
+المغازي بدي أروح ورا؟ بدي أجيس؟و الـ Meter و أنا
+
+102
+00:07:33,670 --> 00:07:36,850
+رايح ورا بدي أجيس الـ Meter لما يصل رفعه بتطلع من
+
+103
+00:07:36,850 --> 00:07:41,210
+هنا رفعه 40 ممكن المسافة اللي أجيستها تطلع 70 صحيح
+
+104
+00:07:41,210 --> 00:07:45,630
+ولا لأ؟ تمام؟ إذن هذه هي المسافة تمام؟ نرجع
+
+105
+00:07:45,630 --> 00:07:48,490
+للشجعية و الجامعة من الشجعية للجامعة حوالي 4 كيلو
+
+106
+00:07:48,490 --> 00:07:52,950
+خنجول أو 5 كيلو لو راح و رجع بجيس المتر بجيست 10
+
+107
+00:07:52,950 --> 00:07:58,530
+صحيح ولا لأ؟ لأنه راح 5 و رجع 5 إذن 10 هذه هي
+
+108
+00:07:58,530 --> 00:08:05,700
+المسافةإذن هذه هي الـ distance الـ actual long of
+
+109
+00:08:05,700 --> 00:08:10,220
+the path traveled حلو طب وش هي ال displacement؟
+
+110
+00:08:10,220 --> 00:08:13,160
+قال لي ال displacement vector quantity vector
+
+111
+00:08:13,160 --> 00:08:16,720
+quantity إذن ال distance scalar لكن ال
+
+112
+00:08:16,720 --> 00:08:20,600
+displacement كمية متجهة ال vector quantity is the
+
+113
+00:08:20,600 --> 00:08:23,560
+shortest distance between the initial and the
+
+114
+00:08:23,560 --> 00:08:26,480
+final positions of the particle بس أنت بدك وين كان
+
+115
+00:08:26,480 --> 00:08:30,830
+و وين صار يعني عشان ..أحنا قولنا عشان اجيس مسافة
+
+116
+00:08:30,830 --> 00:08:34,250
+ال bus بدأ أجري وراه، بظبط ولا لا؟ مفعض أنني نايم،
+
+117
+00:08:34,250 --> 00:08:37,570
+هو عادل أن أقول بالحدث أجيب المسافة؟ لأ، بدأ أجري
+
+118
+00:08:37,570 --> 00:08:41,530
+وراه، بس في الإزاحة بنام، بس أنا من الهاتف
+
+119
+00:08:41,530 --> 00:08:44,110
+الموصلت، من أين أنت لغاية من الجامعة؟ بقيت من
+
+120
+00:08:44,110 --> 00:08:47,910
+الجامعة، لأو من الموصل؟ بقول هذه إزاحته، صح ولا
+
+121
+00:08:47,910 --> 00:08:50,610
+لأ؟ هجيت .. إيش في الطريق صار؟ جعت ساعة، جعت
+
+122
+00:08:50,610 --> 00:08:54,590
+ساعتين؟ ماليش دعوة؟فهمتوا عليك ايه؟ وبالتالي هنا
+
+123
+00:08:54,590 --> 00:08:58,550
+لما بدي اجيس بقول اه معناته جنوب راح عرفع ماراحش
+
+124
+00:08:58,550 --> 00:09:03,830
+على جبال يا فوق تمام؟ وبالتالي الإزاحة ال
+
+125
+00:09:03,830 --> 00:09:07,190
+displacement is a vector quantity is the shortest
+
+126
+00:09:07,190 --> 00:09:11,330
+distance هي أقصر مسافة ما بين نقطتين وهذه تعريفها
+
+127
+00:09:11,330 --> 00:09:14,670
+خط المستقيم انتوا عارفين تمام؟ between the initial
+
+128
+00:09:14,670 --> 00:09:18,550
+and the final position of the particle و هنضلنا
+
+129
+00:09:20,140 --> 00:09:23,620
+ذاكرين أن هناك فرق ما بين الـ distance و ال
+
+130
+00:09:23,620 --> 00:09:28,020
+displacement سبيت
+
+131
+00:09:28,020 --> 00:09:32,060
+فتحنا
+
+132
+00:09:32,060 --> 00:09:34,020
+القموس و طلعنا كلمة سبيت فتحنا القموس و طلعنا كلمة
+
+133
+00:09:34,020 --> 00:09:34,480
+سبيت فتحنا القموس و طلعنا كلمة سبيت فتحنا القموس و
+
+134
+00:09:34,480 --> 00:09:34,740
+فتحنا القموس و طلعنا كلمة سبيت فتحنا القموس و
+
+135
+00:09:34,740 --> 00:09:35,840
+طلعنا كلمة سبيت فتحنا القموس و طلعنا كلمة سبيت
+
+136
+00:09:35,840 --> 00:09:40,840
+فتحنا القموس و طلعنا كلمة سبيت فتحنا القموس و
+
+137
+00:09:40,840 --> 00:09:43,080
+طلعنا كلمة سبيت فتحنا القموس و طلعنا كلمة سبيت
+
+138
+00:09:43,080 --> 00:09:48,520
+فتحنا القمالـ Vector هو شغل تاني، شمّة، مجموعة، و
+
+139
+00:09:48,520 --> 00:09:53,260
+Direction السرعة المجموعة تبعها اسم خاص بيسموه
+
+140
+00:09:53,260 --> 00:09:59,860
+Speed إذا الـ Speed هو المجموعة تبع السرعةهذا هو
+
+141
+00:09:59,860 --> 00:10:03,620
+مجموعة السرعة. هذا يعني أن السرعة لا يمكن أن تكون
+
+142
+00:10:03,620 --> 00:10:07,620
+مفارقة. طبعا، فعش. لأن الـ negative بيعني تياه
+
+143
+00:10:07,620 --> 00:10:13,240
+معاكس. الهدعوة بالدراسة. عمركم ما شفتوا سرعة سالبة
+
+144
+00:10:13,240 --> 00:10:16,060
+إذا بدي أحكي عن المجموعة. المجموعة دائما .. احنا
+
+145
+00:10:16,060 --> 00:10:19,940
+لما نطلع المجموعة تبع كل فيكتور مش اتفقنا ايه؟
+
+146
+00:10:19,940 --> 00:10:23,720
+بيساوي جيزي التربيعي A X تربيع زي A Y تربيع زي
+
+147
+00:10:23,720 --> 00:10:27,490
+جيزي التربيعتمام؟ وبالتالي لما انا اتعامل معاه
+
+148
+00:10:27,490 --> 00:10:30,770
+بطلع positive quantity هنا ال magnitude بكون
+
+149
+00:10:30,770 --> 00:10:33,690
+positive ال quantity بما ان ال speed is the
+
+150
+00:10:33,690 --> 00:10:37,410
+magnitude of the velocity فال speed ك speed بتكون
+
+151
+00:10:37,410 --> 00:10:41,730
+positive لكن بيقوللي والله minus five ال minus هذه
+
+152
+00:10:41,730 --> 00:10:44,930
+مش للمagnitude عشان يقوللي اتجاه ال minus five I
+
+153
+00:10:44,930 --> 00:10:49,640
+باتجاه الصيني السالبطيب، طب بقولي طب في حاجة اسمها
+
+154
+00:10:49,640 --> 00:10:53,560
+average speed و فيها average velocity طب و أعرفك،
+
+155
+00:10:53,560 --> 00:10:58,920
+طب إذا معناته بدي أبدأ أغيّم و أفرق هل بقدر أقول
+
+156
+00:10:58,920 --> 00:11:02,160
+ال average speed هي ال magnitude تبع ال average
+
+157
+00:11:02,160 --> 00:11:07,210
+velocity؟ لأمع ان ال speed هي ال magnitude تبع ال
+
+158
+00:11:07,210 --> 00:11:10,690
+velocity لكن ال average speed مايشي ال magnitude
+
+159
+00:11:10,690 --> 00:11:14,850
+تبع ال average velocity بقولي ليش؟ بقولي أصلا ال
+
+160
+00:11:14,850 --> 00:11:20,090
+velocity إجت إزاحة ع زمان طويل لو بدي أجيب مسافة ع
+
+161
+00:11:20,090 --> 00:11:23,510
+زمان بقولي هذا اللي بتطلقلك ال average speed
+
+162
+00:11:24,380 --> 00:11:28,340
+تفهمتوا عليها كيف؟ يعني دائما .. تعرفين دائما أن
+
+163
+00:11:28,340 --> 00:11:32,900
+المسافة أكبر من الإزاحة أو بتسوية حد أقصى نرجع للي
+
+164
+00:11:32,900 --> 00:11:36,360
+راح على سرعة و دي اللي بلعب مسافته كتيرة لكن ..
+
+165
+00:11:36,360 --> 00:11:39,180
+يجينا أربعين الإزاحة لكن المسافة ممكن توصل لسبعين
+
+166
+00:11:39,180 --> 00:11:43,170
+لما .. لما يقول هذا ال bus في الأخر مش إله سرعةبدي
+
+167
+00:11:43,170 --> 00:11:46,310
+أجيب الـ average speed تبعته بدي أجيب السبعين مش
+
+168
+00:11:46,310 --> 00:11:49,270
+الأربعين بيغزوا و رفعوا السبعين اللي مشيها راحوا و
+
+169
+00:11:49,270 --> 00:11:51,850
+إجاوا عن صراطة و بلعوا على المجازة كل هذا بدي
+
+170
+00:11:51,850 --> 00:11:55,850
+أجمعها فساعتها بيعطيك ال average speed مش ال
+
+171
+00:11:55,850 --> 00:11:59,230
+average velocity في هذه الحالة فبالتالي ال average
+
+172
+00:11:59,230 --> 00:12:03,310
+speed differs from the average velocity in that it
+
+173
+00:12:03,310 --> 00:12:06,530
+covers the total distance هذه بيغطيلك كل ال
+
+174
+00:12:06,530 --> 00:12:10,350
+distance كل المسافة than the total displacement
+
+175
+00:12:10,350 --> 00:12:14,140
+وبالتالي ال average speedهي الـ total distance على
+
+176
+00:12:14,140 --> 00:12:17,940
+ال total time الـ total distance على ال total time
+
+177
+00:12:17,940 --> 00:12:23,160
+يعني، بكرا بتشوفوا أسئلة كذا تانية قصافة جسم لأعلى
+
+178
+00:12:23,160 --> 00:12:32,540
+و جهانة هاجد اشي وهذا ارتفاعه خلّيني أقول 12 متر
+
+179
+00:12:32,540 --> 00:12:41,220
+مبنى، برج كبير اش ازاحته؟بس 12 مو ده بقى سهل بعدين
+
+180
+00:12:41,220 --> 00:12:47,120
+نتفق لكن مسافته .. بدي هادي و هادي بالإضافة إلى ال
+
+181
+00:12:47,120 --> 00:12:51,060
+12 فلو يقولي اودي دي ال other edge velocity بقوله
+
+182
+00:12:51,060 --> 00:12:55,180
+12 على الزمن velocity تب other edge speed بقوله
+
+183
+00:12:55,180 --> 00:12:57,480
+بدي هادي مسافة انا افترض هادي اتنين بقوله اتنين و
+
+184
+00:12:57,480 --> 00:13:02,240
+اتنين اربعة و اتناشت ستاشت على الزمنفرق ولا لا؟
+
+185
+00:13:02,240 --> 00:13:05,740
+يبقى فرق إذا معناته الـ Average Speed بدي المسافة
+
+186
+00:13:05,740 --> 00:13:09,760
+كلها لكن الـ Average Velocity بتعامل بس مع الإزاحة
+
+187
+00:13:09,760 --> 00:13:15,160
+نقطتي البداية والنهاية تمام هيك؟ يعني زي مثلا نتفق
+
+188
+00:13:15,160 --> 00:13:19,200
+أن هذا ال bus اللي طلع من غزة كان عنده ركاب ودهم
+
+189
+00:13:19,200 --> 00:13:24,520
+على جباليا ورجع و .. بص الرفاح لو بده الـ Average
+
+190
+00:13:24,520 --> 00:13:29,180
+Velocity حكاية جباليا ولا كلمة بتدل عليها داخل صح
+
+191
+00:13:29,180 --> 00:13:34,270
+ولا لا؟ راحوا إيجا؟ولكن من غزلة لرفع مع أنه في
+
+192
+00:13:34,270 --> 00:13:37,750
+الأول راح ع جباليا ورجع ماني جاي اهو اهو اهو اهو
+
+193
+00:13:37,750 --> 00:13:39,810
+اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو
+
+194
+00:13:39,810 --> 00:13:40,030
+اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو
+
+195
+00:13:40,030 --> 00:13:40,050
+اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو
+
+196
+00:13:40,050 --> 00:13:41,630
+اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو
+
+197
+00:13:41,630 --> 00:13:47,070
+اهو اهو اهو اهو اهو اهو اهو اهو اهو اهو
+
+198
+00:13:47,070 --> 00:13:53,530
+اهو اهو
+
+199
+00:13:53,530 --> 00:13:59,330
+اه
+
+200
+00:14:00,530 --> 00:14:05,190
+كميات أساسية، length و mass و قاعدة و اتفقنا إن كل
+
+201
+00:14:05,190 --> 00:14:11,030
+كمية جديدة هنديكم محداتها بالأنظمة التلاتة بيقولي
+
+202
+00:14:11,030 --> 00:14:15,010
+the SI unit الـ SI ال international system أو ال
+
+203
+00:14:15,010 --> 00:14:21,450
+MK system صحيح ولا لأ؟ of .. velocity is متر على
+
+204
+00:14:21,450 --> 00:14:25,110
+ثانية ليه؟ لأن distance أو displacement متر و
+
+205
+00:14:25,110 --> 00:14:32,570
+الزمن ثانية فمتر per second ثمانيةطبعا بال .. بالـ
+
+206
+00:14:32,570 --> 00:14:35,190
+Gaussian system centimeter على second و بال
+
+207
+00:14:35,190 --> 00:14:40,850
+British system foot على second تمام و عملناها أصلا
+
+208
+00:14:40,850 --> 00:14:44,630
+و حطنالكم إياها خلصنا من حاجة اسمها average
+
+209
+00:14:44,630 --> 00:14:47,370
+velocity طيب نرجع للسيارة اللي جابتكم من الدار
+
+210
+00:14:47,370 --> 00:14:50,970
+للجامعة اتفقنا مرة كانت واقفة و مرة بطأت و مرة
+
+211
+00:14:50,970 --> 00:14:55,310
+صرقت صح ولا لأ؟لما كانت واقفة بقول كده صلعتها؟ صفر
+
+212
+00:14:55,310 --> 00:14:57,830
+و لما كانت بطيهة بقول والله بتمشي عشرين كيلومتر
+
+213
+00:14:57,830 --> 00:15:02,410
+بالساعة و لما تسرع يكون الطريق مطولة عليها فالته و
+
+214
+00:15:02,410 --> 00:15:07,290
+حلوة بتمشي السيارة خمسين كيلومتر بالساعة هجيت بقول
+
+215
+00:15:07,290 --> 00:15:10,890
+وقت إيش وقفت؟ بقول والله عندي فراسة وقفتفي اللحظة
+
+216
+00:15:10,890 --> 00:15:13,810
+اللي كان فيها عندي فراس صح ولا لأ؟ نفسرش إنه جاي
+
+217
+00:15:13,810 --> 00:15:18,390
+من .. في هذه اللحظة، إذا أنا بحكي عن فترة معينة
+
+218
+00:15:18,390 --> 00:15:22,070
+بعينها، لكن لم أكتش صرعت، بقول والله لما جربت على
+
+219
+00:15:22,070 --> 00:15:25,530
+الجامعة، كانت ترجمة ميحة، ففي هذه اللحظة كانت
+
+220
+00:15:25,530 --> 00:15:30,590
+سريعة، إذا أنا بحكي الآن عنلحظات معينة أثناء
+
+221
+00:15:30,590 --> 00:15:34,170
+الحركة هذي بيسموها الـ Instantaneous Velocity
+
+222
+00:15:34,170 --> 00:15:39,030
+السرعة اللحظية من كلمة Instant Instant معنات لحظة
+
+223
+00:15:39,030 --> 00:15:44,130
+تمام؟ Instantaneous لحظي تمام؟ الـ Instantaneous
+
+224
+00:15:44,130 --> 00:15:51,090
+Velocity of a particle is defined as؟ جلد؟ هذي الـ
+
+225
+00:15:51,090 --> 00:15:54,680
+Average Velocity اللي حطيت عليها يشارك هنا بارالـ
+
+226
+00:15:54,680 --> 00:15:57,600
+Average Velocity رمزها دي من كلمة Velocity وبحط
+
+227
+00:15:57,600 --> 00:16:00,580
+أيه؟ هذا بيقول Average الـ Instantaneous بحطها
+
+228
+00:16:00,580 --> 00:16:04,420
+بدون الشرط اللي فوق هاي اللي بمجلسلهم كرموز الـ
+
+229
+00:16:04,420 --> 00:16:09,320
+Instantaneous Velocity قال لي مش احنا اتفقنا ان
+
+230
+00:16:09,320 --> 00:16:13,660
+السرعة بيساوي إزاحة ع زمان قال لي هي Delta X ع
+
+231
+00:16:13,660 --> 00:16:18,440
+Delta T ايش اللي جال؟ قال لي هذه المفهوم ايش بتفرج
+
+232
+00:16:18,440 --> 00:16:23,620
+اللحظة عن فترة زمانية؟ ايش هي اللحظة تعريفها؟إيش
+
+233
+00:16:23,620 --> 00:16:29,780
+تعريف اللحظة؟ هي فترة زمنية قصيرة جدا صح اللحظة
+
+234
+00:16:29,780 --> 00:16:34,880
+تعريفها اللغوي هي فترة زمنية قصيرة جدا نيجي لعلم
+
+235
+00:16:34,880 --> 00:16:39,060
+ال calculus تفاضل جيلي حاجة تقول إلى السفر ليش
+
+236
+00:16:39,060 --> 00:16:42,400
+مدرسة تسوي السفر؟هل هناك فرق ما بين تقول إلى السفر
+
+237
+00:16:42,400 --> 00:16:45,880
+وتساوي السفر؟ أه تقول إلى السفر يعني الفترة
+
+238
+00:16:45,880 --> 00:16:50,820
+الزمنية جربك للحظة أقلت إلى اللحظة لكن لا تساوي
+
+239
+00:16:50,820 --> 00:16:56,150
+السفر فلما data T goes to zeroأنت أخدت النهايات
+
+240
+00:16:56,150 --> 00:17:00,650
+مظبوط تقول إلى ف الـ delta T هذه لما تقول إلى
+
+241
+00:17:00,650 --> 00:17:04,450
+السفير بصي اللحظة فالسرعة ستتنجلب السرعة لحظية
+
+242
+00:17:04,450 --> 00:17:08,090
+بطلت أحكي عن النص ساعة كلها مش اتفق أن السيارة
+
+243
+00:17:08,090 --> 00:17:11,810
+أخدت نص ساعة لأ أنا بدي ثانية معينة الثانية ساعتها
+
+244
+00:17:11,810 --> 00:17:15,890
+لحظة إيش الفرق ما بين النص ساعة و الثانية النص
+
+245
+00:17:15,890 --> 00:17:19,250
+ساعة تقول إلى الثانية لما تقول إلى السفير بتجرب
+
+246
+00:17:19,250 --> 00:17:24,000
+للثانيةهذا التعريف هذا limit إذا نفهم كلمة limit
+
+247
+00:17:24,000 --> 00:17:27,280
+عشان نفهم إيش معنات أو ليش بيعطونا في ال calculus
+
+248
+00:17:27,280 --> 00:17:31,400
+النهايات انت خدتوها limit مش نوها احنا زمان كنا
+
+249
+00:17:31,400 --> 00:17:35,200
+ناخدها نوها كنتوا ما زلتوا؟ طب ليش بتقولوا limit؟
+
+250
+00:17:35,200 --> 00:17:39,680
+عشان نعرف ليش بدونا إيها؟ ليش فايديتها؟ لأنه في
+
+251
+00:17:39,680 --> 00:17:44,500
+فرق ما بين اللي يسوي و اللي يقون فهذه limit نهاية
+
+252
+00:17:44,500 --> 00:17:52,000
+تمام؟ هذا التعريف إذا ..فتشته بمخكم وتقولوا هذه هي
+
+253
+00:17:52,000 --> 00:17:59,800
+مشطقة ال X بالنسبة للزمن هذه تعريف المشطقة DX على
+
+254
+00:17:59,800 --> 00:18:03,500
+DT DX
+
+255
+00:18:03,500 --> 00:18:07,320
+على
+
+256
+00:18:07,320 --> 00:18:14,030
+DT مش Delta ال Delta غير و ال D غير ال Dتغيير والـ
+
+257
+00:18:14,030 --> 00:18:17,970
+Delta تغيير بس الـ D تغيير صغير الـ Delta ممكن
+
+258
+00:18:17,970 --> 00:18:23,410
+تكون كبير فا دايما الـ Delta لما تقول إلى السفر
+
+259
+00:18:23,410 --> 00:18:29,990
+تتحول لـ D لـ D فهي الفرق ما بين الـ Delta و الـ D
+
+260
+00:18:29,990 --> 00:18:33,610
+الـ D يعني لو أقول والله هي مسافة فأقول هي Delta
+
+261
+00:18:33,610 --> 00:18:41,030
+بهم لكن الـ D لأ هي كما تكون هي الـ D زيها فهذا هو
+
+262
+00:18:42,120 --> 00:18:45,400
+التغيير، نسميه increment، الزيادة اللي صارت فلما
+
+263
+00:18:45,400 --> 00:18:48,960
+الزيادة تكون صغيرة، نسميها D، رمزها D، لما تكون
+
+264
+00:18:48,960 --> 00:18:52,360
+كبيرة، نسميها Delta، تمام؟ و هذا الفرق، عشان كده
+
+265
+00:18:52,360 --> 00:18:56,780
+احنا في التفاضل بنعرف ان الـ Delta Y على Delta X
+
+266
+00:18:56,780 --> 00:18:59,380
+لما دي .. خدتوا كالكورس؟ لخدتوا كالكورس؟ قاعدين؟
+
+267
+00:18:59,380 --> 00:19:02,760
+وصلتوا هذه الشغلات ولا لسه؟ لسه عندكم وصلتوها؟ بس
+
+268
+00:19:02,760 --> 00:19:03,660
+خدتوها في وجهي، بطبع
+
+269
+00:19:17,950 --> 00:19:23,850
+هي تعريف التفاضلأو الـ Derivative اللي حكوه فهذه
+
+270
+00:19:23,850 --> 00:19:27,730
+طب إذا كيف أجيب ال .. عن اللحظية؟ قال لي فاضي؟ في
+
+271
+00:19:27,730 --> 00:19:31,110
+حد ماعرفش فاضي؟ خلاص سهل الأملية أسهل من ال
+
+272
+00:19:31,110 --> 00:19:35,110
+average تمام طلعوا عادة هذه ال limit أنا التفسير
+
+273
+00:19:35,110 --> 00:19:38,390
+تبعها إيش بقول؟ إيش تفسيرها الفيزيائي مش رياضي؟
+
+274
+00:19:38,390 --> 00:19:41,910
+become instant بصير لحظة الفترة الزمنية لما تقولي
+
+275
+00:19:41,910 --> 00:19:46,310
+للسفر بصير لحظةتمام هيك؟ هذا التفسير تبع ال limit
+
+276
+00:19:46,310 --> 00:19:49,850
+و إيش تطبيقه في العلوم المختلفة في حكاية ال limit
+
+277
+00:19:49,850 --> 00:19:52,230
+و التفاضل اللي هو تطبيقه كل حاجة في الرياضيات
+
+278
+00:19:52,230 --> 00:19:56,070
+بنعطيكم إياها إلى تطبيق في العلوم المختلفة إذا
+
+279
+00:19:56,070 --> 00:20:02,630
+كانت أي علوم فيزيا ولا كيميا ولا هندسة ولا أي حاجة
+
+280
+00:20:05,680 --> 00:20:09,500
+طيب بقولي أنت برضه نرجع للمدرسة أول ما خدنا
+
+281
+00:20:09,500 --> 00:20:15,000
+التفاضل قالوا التفاضل هو ميل المماس صح ولا لأ؟ ليش
+
+282
+00:20:15,000 --> 00:20:20,960
+أصلا من هنا جالي dy على dx و أنت بترسم y و x dy
+
+283
+00:20:20,960 --> 00:20:26,690
+على dx مقابل عمجاوز صح؟DY على DX هي مقابل عمجاور
+
+284
+00:20:26,690 --> 00:20:31,630
+ومقابل عمجاور بيساوي تان والتان هو الميل صحيح؟ إذا
+
+285
+00:20:31,630 --> 00:20:35,090
+معناته إيش مفهوم التفاضل؟ قال يد ميل المماز عند
+
+286
+00:20:35,090 --> 00:20:39,810
+نقطة معينة فبيقول لو جت رسمت البعد تبع الجسم مع
+
+287
+00:20:39,810 --> 00:20:44,100
+الزمنهتطلع عندك رصمة معينة وقولك اوجد تفاضلها
+
+288
+00:20:44,100 --> 00:20:48,300
+بقوله اوجد من المماس عند نقطة معينة بطلع قدر
+
+289
+00:20:48,300 --> 00:20:52,700
+التفاضل فبقول in the position-time graph ال graph
+
+290
+00:20:52,700 --> 00:20:57,900
+يعني رصمة رسمة البعد مع الزمن لو بدى ارسم البعد او
+
+291
+00:20:57,900 --> 00:21:03,980
+اللذاحة مع الزمنat some instant في لحظة ما هو ال
+
+292
+00:21:03,980 --> 00:21:07,500
+slow slow بيعني ال ميل it's the slow of the
+
+293
+00:21:07,500 --> 00:21:14,020
+tangent ميل الممازق at that instant يعني لو جيت
+
+294
+00:21:14,020 --> 00:21:20,640
+بدي أرسم هي رسمة هي X وهي T سيارة مشت كانت هنا
+
+295
+00:21:20,640 --> 00:21:25,800
+الزمن بيمشي و هي تمشي X كده بزيطبعا هنا كانت
+
+296
+00:21:25,800 --> 00:21:29,160
+سريعة، هنا بطعة، هنا عدد أسرعة، المهم أي رسمة هذه
+
+297
+00:21:29,160 --> 00:21:33,660
+بتشكل لي أو بتصوف لي حركة particle حركة particle
+
+298
+00:21:33,660 --> 00:21:38,740
+كده بيبعد مع الزمن طول ما الزمن ماشي والجسم أماله
+
+299
+00:21:38,740 --> 00:21:43,480
+بيبعد، بتحرك، طبعا مافيش و لا مكان، كان فيه واقف
+
+300
+00:21:43,480 --> 00:21:47,360
+هنا الواقف كان ساعتها ادنى خط مستقيم أفضل مستقيم،
+
+301
+00:21:47,360 --> 00:21:51,120
+مظبوط، بقول ليlet the position of a particle
+
+302
+00:21:51,120 --> 00:21:56,320
+varies with time خلّينا ندي مثال، خلّي جسم ال
+
+303
+00:21:56,320 --> 00:21:59,980
+position تبعه varies with time، بتغير مع الزمن،
+
+304
+00:21:59,980 --> 00:22:03,300
+varies من vary، vary بتعرفوها كلمة سهلة ومرّت
+
+305
+00:22:03,300 --> 00:22:05,980
+عليكم، طبعا varies عشان و particle، with time
+
+306
+00:22:05,980 --> 00:22:08,120
+according to the graph shown، هاي ال graph تبعي
+
+307
+00:22:08,620 --> 00:22:12,260
+تمام؟ بيقولي the instantaneous velocity الـ
+
+308
+00:22:12,260 --> 00:22:14,900
+instantaneous velocity ما هو التفاضل، مظبوط ولا
+
+309
+00:22:14,900 --> 00:22:18,540
+لا؟ هو مشتقة X بالنسبالي الزمن، تمام؟ at a
+
+310
+00:22:18,540 --> 00:22:23,860
+specific time TA، in T معين، وين ال TA؟ هاي ال TA،
+
+311
+00:22:23,860 --> 00:22:29,240
+إيش بسوي؟ بقول هاي النقطة، صح؟ بديب مماس لهذا ال
+
+312
+00:22:29,240 --> 00:22:35,500
+curve أو هذا المنحلة، بقول هاي المماس، تمام؟ما هو
+
+313
+00:22:35,500 --> 00:22:39,100
+السرعة اللي أتيت من الخط الأزرق اللي طالع معاكم؟
+
+314
+00:22:39,100 --> 00:22:43,740
+ميل الخط الأزرق هو السرعة المتوسطة أو هو تفاضل X
+
+315
+00:22:43,740 --> 00:22:48,160
+بالنسبة لT هي هيليا و X بالنسبة لT هي ال velocity
+
+316
+00:22:48,160 --> 00:22:52,660
+تمام؟ و ال instantaneous velocity تحديدًا فبالتالي
+
+317
+00:22:52,660 --> 00:22:56,240
+the slope of this tangent اللي هو الأزرق the slope
+
+318
+00:22:56,240 --> 00:22:59,100
+of this tangent line gives the instantaneous
+
+319
+00:22:59,100 --> 00:23:03,000
+velocityأذا المفهوم مش معناه أن الـsentential
+
+320
+00:23:03,000 --> 00:23:07,440
+velocity هو مشتقة X بالنسبة للزمن الـderivative of
+
+321
+00:23:07,440 --> 00:23:12,440
+X with respect to T وكجرافيكالي is the slope of
+
+322
+00:23:12,440 --> 00:23:18,300
+the tangent of the XT graph at some instant تمام،
+
+323
+00:23:18,300 --> 00:23:26,400
+أحكي، في أي السفسار؟
+
+324
+00:23:26,400 --> 00:23:33,860
+معلومات مكررة، أنا هيك بعتقد، صحيح؟تمام خلّينا
+
+325
+00:23:33,860 --> 00:23:39,360
+نضرب الصبر نعمل مثال عشان المعلومة تتراجع
+
+326
+00:23:40,220 --> 00:23:44,160
+بيقول لي الـ position of a particle موضع جسم
+
+327
+00:23:44,160 --> 00:23:48,420
+varies with time هذه الكلمة varies تكرارك مئة مرة،
+
+328
+00:23:48,420 --> 00:23:53,680
+اتغير مع الزمن according to هذا جهز ليها قال لي X
+
+329
+00:23:53,680 --> 00:24:00,600
+equal T squared plus 3T with X in meter and T in
+
+330
+00:24:00,600 --> 00:24:03,980
+second يعني بيقوللي بس أخدم جاعدي الـ SI unit
+
+331
+00:24:03,980 --> 00:24:08,600
+system مظبوط ولا لا؟ طبعا، أيش بدك، هاي ال X و T
+
+332
+00:24:08,600 --> 00:24:16,730
+جاهزةFind the average velocity for the interval من
+
+333
+00:24:16,730 --> 00:24:20,350
+سفر لإتنين ثانية الفترة الزمنية عطانيها ولا لأ؟
+
+334
+00:24:20,350 --> 00:24:23,950
+عطانيها، بدو ال average velocity، طيب، دي أمين
+
+335
+00:24:23,950 --> 00:24:29,410
+Find the instantaneous velocity Instantaneous
+
+336
+00:24:29,410 --> 00:24:33,750
+velocity، إيش معناتها؟لحظية بمفهوم يقولي أوجد
+
+337
+00:24:33,750 --> 00:24:37,830
+السرعة اللحظية ويسكت عند أي لحظة؟ بمفهوم يقولي عند
+
+338
+00:24:37,830 --> 00:24:43,510
+أي لحظة؟ إذا لابد إن يقولك الـT equal 1.5 second
+
+339
+00:24:43,510 --> 00:24:46,290
+أحنا لو قلنا كانت واقفة عند فراس ماعملتوا أنا
+
+340
+00:24:46,290 --> 00:24:48,370
+حددتي تقولوا إن كانت واقفة بمفهوم عشان أقول والله
+
+341
+00:24:48,370 --> 00:24:53,270
+كانت واقفة، وإيه؟ إذا لازم لما زال قالي أوجد the
+
+342
+00:24:53,270 --> 00:24:56,290
+instantaneous velocity؟ بمفهوم يقولي أي لحظة؟ أنت
+
+343
+00:24:56,290 --> 00:24:59,810
+بمفهوم تقولي، عشان أديكي جواب تمه، في تفسير؟ لأ،
+
+344
+00:24:59,810 --> 00:25:05,680
+تمههذه المطلوبين سهلين هذه المطلوبين الوحيدين طبعا
+
+345
+00:25:05,680 --> 00:25:12,720
+خلّينا نكتب شوية عشان ما تنضلاش نحكي بيقول V
+
+346
+00:25:12,720 --> 00:25:18,700
+average بتساوي X final نقص X initial على T final
+
+347
+00:25:18,700 --> 00:25:22,080
+نقص T initial مش هي قانوني؟ اللي هو delta X على
+
+348
+00:25:22,080 --> 00:25:26,640
+delta T؟ حلو جلي المقام لو طلعك عليه بدرجة معطالة
+
+349
+00:25:26,640 --> 00:25:34,020
+جدش هذه؟و كم هذي؟ 2 سهلة ايه زار عليك عشان تطلع
+
+350
+00:25:34,020 --> 00:25:37,880
+الجواب؟ بدّك المقاهة؟ هذي X final و هذي X initial
+
+351
+00:25:37,880 --> 00:25:42,340
+هذي X عن T بساوة 2 و هذي X عن T بساوة 0 من أين
+
+352
+00:25:42,340 --> 00:25:47,760
+أجيبها؟ لأن أنا أعطيك X لكل T لكل Tزر في الدنيا
+
+353
+00:25:47,760 --> 00:25:53,420
+أنا أعطيك غلاقة بين X و T اعرف تي، بتجيب X طيب،
+
+354
+00:25:53,420 --> 00:25:59,930
+أنا بدّي الآن X initial كم يعود محل T كم؟0 صحيح
+
+355
+00:25:59,930 --> 00:26:04,690
+ولا لأ؟ إذا بيقولّي to find x initial and x final
+
+356
+00:26:04,690 --> 00:26:08,570
+we have to substitute .. Substitute يعود ..
+
+357
+00:26:08,570 --> 00:26:12,170
+Substitute تمام؟ برضه هتتكرر كتير معاكم عنده وعند
+
+358
+00:26:12,170 --> 00:26:16,270
+غيرهكلمة بالنسبة لل English شوية شوية ال English
+
+359
+00:26:16,270 --> 00:26:20,410
+بتكرر و هتلاقوا فيه مصطلحات بتنقل في الكيميا و في
+
+360
+00:26:20,410 --> 00:26:23,490
+الفيزيا و في الأحياء و في مش عارف وين فتلاقوها من
+
+361
+00:26:23,490 --> 00:26:26,490
+أول يوم اللي حافظت و في تابعة الفيزيا بدها أسبوع و
+
+362
+00:26:26,490 --> 00:26:29,350
+في تابعة الكيميا بدها أسبوع و نص يعني من هنا لشهر
+
+363
+00:26:29,350 --> 00:26:33,490
+بعد العيد بيصير زي الإنجليز و زيادة شوية تمامWe
+
+364
+00:26:33,490 --> 00:26:37,850
+have to substitute for T initial and T final in
+
+365
+00:26:37,850 --> 00:26:40,810
+the X-T relation هذي بيسموها الـ X-T relation
+
+366
+00:26:40,810 --> 00:26:46,150
+العلاقة بين X و T تمام That is .. قال لي X initial
+
+367
+00:26:46,150 --> 00:26:50,890
+بتجيب ت و تحط محلها T initial ما هي تربيع تربيع و
+
+368
+00:26:50,890 --> 00:26:55,910
+بتجيب ت و تحط محلها T initial قدش هذي؟ صفر صح؟ و
+
+369
+00:26:55,910 --> 00:27:00,980
+قدش هذي؟ صفر صفر و صفر؟ صفرمظبوط ولا لأ؟ فبرضه
+
+370
+00:27:00,980 --> 00:27:06,220
+الصفرين و الصفر واحد ف zero طلع الجواب سهل بدنتي
+
+371
+00:27:06,220 --> 00:27:12,280
+final أربعة صح ولا لا؟ مش هالاتنين؟ اتنين تربية
+
+372
+00:27:12,280 --> 00:27:16,920
+أربعة و تلعتها في اتنين ستة أربعة و ستة خلص السؤال
+
+373
+00:27:16,920 --> 00:27:22,700
+بس نعودي الآن في القرون هذا عشرة نقص صفر على اتنين
+
+374
+00:27:22,700 --> 00:27:27,440
+نقص صفر صحيح ولا لأ؟ يا وردي مصعبه هذه الأسئلة
+
+375
+00:27:27,440 --> 00:27:31,590
+شايفين كده صعبة؟فبقول لي now we have for the
+
+376
+00:27:31,590 --> 00:27:36,870
+average velocity x final minus x initial over t
+
+377
+00:27:36,870 --> 00:27:41,950
+final minus t initial 10 minus 0 over 2 minus 0
+
+378
+00:27:41,950 --> 00:27:46,580
+تقلع 5 متر per secondطبعا متر per second مهمة لأن
+
+379
+00:27:46,580 --> 00:27:49,660
+هذه سرعة ماهياش إزاحة ماهياش زمان ماهياش كتلة
+
+380
+00:27:49,660 --> 00:27:53,360
+ماهياش قوة فنازل نحط متر per second لأنه من أول
+
+381
+00:27:53,360 --> 00:27:57,020
+جالي أنت تتعامل مع ال international system of
+
+382
+00:27:57,020 --> 00:28:00,960
+units في صعوبة يا بنات؟ هجيت في أي استفسار؟ هنا
+
+383
+00:28:00,960 --> 00:28:04,340
+ممكن نسأل البدنية أي حاجة عملتها ومافهمتش كيف انت
+
+384
+00:28:04,340 --> 00:28:09,840
+عملت؟ واحد احكي؟ وكثير عن السنة هتكون زي هيك؟
+
+385
+00:28:13,740 --> 00:28:18,980
+طيب المطلوب التاني الـ instantaneous velocity جالي
+
+386
+00:28:18,980 --> 00:28:24,720
+فاضل اشتق اكس بالنسبة ل T و بعدين عوض عن T عند
+
+387
+00:28:24,720 --> 00:28:30,780
+اللحظة اللي بدك إياها بيقول ليه؟V بتساوي DX على DT
+
+388
+00:28:30,780 --> 00:28:36,360
+DX على DT في حد ما عارف يشتق يا بنات؟ ليه ينشتق؟
+
+389
+00:28:36,360 --> 00:28:42,360
+2T زائد 3 2T زائد 3 يجب أن يهدي السرعة عند أي زمان
+
+390
+00:28:42,360 --> 00:28:44,720
+لأن بيقولي أنا مابديش عند أي زمان، بدي عند زمان
+
+391
+00:28:44,720 --> 00:28:49,660
+معين طب ايه يسوي؟ بتعوض محل الـT؟ واحد و نصف؟
+
+392
+00:28:49,660 --> 00:28:55,000
+هيكوا مش شرمني الموضوع ستلإذا الـ Instantaneous
+
+393
+00:28:55,000 --> 00:29:00,380
+Velocity at T equal 1.5 Seconds is obtained by
+
+394
+00:29:00,380 --> 00:29:06,060
+substituting for T عوّض محل T ب1.5 Seconds in the
+
+395
+00:29:06,060 --> 00:29:06,860
+last equation
+
+396
+00:29:24,140 --> 00:29:30,100
+طبعا .. هيك الأسئلة بتيجي هذي الأسئلة بتيجي؟ زي
+
+397
+00:29:30,100 --> 00:29:33,540
+هيك .. و احنا خلصنا المادة عن الموضوع هذا بيجي زي
+
+398
+00:29:33,540 --> 00:29:38,420
+هيك منيح؟ راضين يعني؟ اه .. زي هيك اه .. زي هيك
+
+399
+00:29:38,420 --> 00:29:42,160
+راضين طب منيح و هو هيكون زي هيك الحمد لله .. اه ..
+
+400
+00:29:42,160 --> 00:29:45,220
+كيف .. كيف الطلبة بيجيبوا مية من مية لأن الأسئلة
+
+401
+00:29:45,220 --> 00:29:50,100
+سهلة او في متناول يدك اه .. كتير طلبة بيجيبوا مية
+
+402
+00:29:50,100 --> 00:29:55,370
+من ميةالكتير يعني فش في سنة من السنوات إلا يكون
+
+403
+00:29:55,370 --> 00:30:01,450
+عندي من 98 acceleration ايش معناتها؟ تسارع براوع
+
+404
+00:30:01,450 --> 00:30:04,890
+عليكم برضه التسارع فيه قيلو average و قيلو
+
+405
+00:30:04,890 --> 00:30:11,580
+instantaneous قيلو متوسط و لحظيبيقول لي ايش تعريف
+
+406
+00:30:11,580 --> 00:30:15,300
+الـ acceleration؟ قال لي لكل مسمى من اسمه نصيب،
+
+407
+00:30:15,300 --> 00:30:19,860
+تسارع، يعني السرعة مثابتة، تتغير، تتسارع أو
+
+408
+00:30:19,860 --> 00:30:25,540
+تتباطع، تمام؟ acceleration when the velocity of a
+
+409
+00:30:25,540 --> 00:30:29,060
+moving body changes، لما ال velocity تتغير، طبعا
+
+410
+00:30:29,060 --> 00:30:34,020
+اما تتغير بالزيادة أو بالنقصات، صحيح؟مع الوقت نقول
+
+411
+00:30:34,020 --> 00:30:37,460
+إن الجسم لديه تغيير سرعة، لذا سهلة طيب، هي معناته
+
+412
+00:30:37,460 --> 00:30:40,680
+بالديس معدّر تغيّر سرعة بالنسبة لزمان، حسب
+
+413
+00:30:40,680 --> 00:30:45,040
+التعريف، هي المعنى اللغوي تبعها، بيقولي the
+
+414
+00:30:45,040 --> 00:30:49,940
+average acceleration، average معناه متوسط، of a
+
+415
+00:30:49,940 --> 00:30:54,890
+particle is defined asA Average هدى دايمًا إشارة
+
+416
+00:30:54,890 --> 00:30:58,570
+الـ Average V Average فاحنا قولنا الـ V هدى
+
+417
+00:30:58,570 --> 00:31:05,790
+Average الـ A و فوقها Average تمام؟ آه ما زالت حطة
+
+418
+00:31:05,790 --> 00:31:08,350
+الباره هدى الرمز المعتمد لل Average طبعًا في ال
+
+419
+00:31:08,350 --> 00:31:12,170
+calculator تبعتكم في أحد الأزرار في حاجة زى إيه؟
+
+420
+00:31:13,410 --> 00:31:16,770
+هذه الـ Average تبع الأرقام فشوفوا ال bar فهذا
+
+421
+00:31:16,770 --> 00:31:20,130
+معتمد هذي ال average بتجيب ال average لعدة أرقام
+
+422
+00:31:20,130 --> 00:31:23,890
+بتجيبوها من هنا طبعا لازم تحطه شغلة status مش عارف
+
+423
+00:31:23,890 --> 00:31:29,180
+ايش عشان تتحولأيه جالي؟ جالي بيسوي delta V على
+
+424
+00:31:29,180 --> 00:31:33,580
+delta T معدل تغير السرعة بالنسبة للزمن لأنه بيقول
+
+425
+00:31:33,580 --> 00:31:37,420
+إذا تغيرت السرعة إذا هذه ثابتة دلتها تبعتها بيسوي
+
+426
+00:31:37,420 --> 00:31:41,120
+ستن أو إذا مافيش acceleration لأن ال acceleration
+
+427
+00:31:41,120 --> 00:31:44,540
+إذا تغيرت السرعة ماتغيرتش السرعة فهي acceleration؟
+
+428
+00:31:44,540 --> 00:31:48,420
+لأ إذا هي delta V على delta T ال delta رجعناها
+
+429
+00:31:48,420 --> 00:31:53,020
+بتجسب تغير final نقص initial فهي بدل ما أقول x
+
+430
+00:31:53,020 --> 00:31:57,880
+final نقص x initial بقول V final نقص Vأميشيا مافيش
+
+431
+00:31:57,880 --> 00:32:02,080
+شيء جديد مافيش شيء جديد الـ delta T ما هي delta T
+
+432
+00:32:02,080 --> 00:32:07,380
+تمام طب قاللي إيش الوحدة تبعت؟ قاللي هذه متر على
+
+433
+00:32:07,380 --> 00:32:12,140
+.. هذه متر ع سكن و هناك سكن صارت متر ع سكن تربيع
+
+434
+00:32:12,140 --> 00:32:20,280
+إذا الاصعي unit of acceleration سوريا دي is
+
+435
+00:32:20,280 --> 00:32:24,810
+meter per second squared و تعرفينها أصلاThe
+
+436
+00:32:24,810 --> 00:32:30,230
+instantaneous accelerationof a particle بنفس
+
+437
+00:32:30,230 --> 00:32:34,450
+المبدأ قال لي هذه الفترة الزمنية خليها تقول إلى
+
+438
+00:32:34,450 --> 00:32:40,730
+اللحظة يعني تقول إلى ال zero بيصير عندك تسارع لحظة
+
+439
+00:32:40,730 --> 00:32:46,190
+فبقول limit لما الفترة الزمنية تقول إلى اللحظة
+
+440
+00:32:46,190 --> 00:32:51,530
+delta V على delta T وهذه بقولها مشتقة V بالنسبة
+
+441
+00:32:51,530 --> 00:32:58,960
+للزمن فهذه DV على DTوهذه كمان مرة الـ delta T تقول
+
+442
+00:32:58,960 --> 00:33:05,280
+إلى Zero يعني أنا بصي اللحظة تمى؟ طيب هذه ال V مش
+
+443
+00:33:05,280 --> 00:33:11,880
+تقول انت قلتلي هي DX على DT المشتقة الأولى تبعت X
+
+444
+00:33:11,880 --> 00:33:16,520
+طيب هذه DX .. طب كمان مرة اشطع جال بصي المشتقة
+
+445
+00:33:16,520 --> 00:33:22,110
+تانيةدي تربيع X على DT تربيع لان اشتق مرة بدي
+
+446
+00:33:22,110 --> 00:33:25,990
+اكسره عشان كمان مرة بدي اكتسره برضه احنا موضوع
+
+447
+00:33:25,990 --> 00:33:33,550
+تبعنا لحد تلان سهلبس مثال وخاص مثال عشان المعلومة
+
+448
+00:33:33,550 --> 00:33:37,090
+الصحيحة بيبقى مش مجردة بيقول الـ velocity ..
+
+449
+00:33:37,090 --> 00:33:40,110
+الشبطار .. الشبطار مطوّق بس أحنا بيقول بسم الله ..
+
+450
+00:33:40,110 --> 00:33:43,490
+بس أنا جيت ناخد المثال و بتخلص المحاضرة ال
+
+451
+00:33:43,490 --> 00:33:47,730
+velocity of an object varies with time according
+
+452
+00:33:47,730 --> 00:33:55,510
+to ..V بيتساوي 5T-E3 with V in meter per second
+
+453
+00:33:55,510 --> 00:33:59,110
+and T in second طبعا انتوا بدينا هجات الأسئلة
+
+454
+00:33:59,110 --> 00:34:01,830
+الحقيقية و انتوا ملاحظين الوحدات كلها بنستخدم الـ
+
+455
+00:34:01,830 --> 00:34:05,610
+SI system زي ما اتفقنا انه غالبا هنستخدم الـ SI
+
+456
+00:34:05,610 --> 00:34:10,940
+system هيمتر و second فكله بالـ SI system إيش بده؟
+
+457
+00:34:10,940 --> 00:34:14,360
+بيقولي find the average acceleration ما زال جالي
+
+458
+00:34:14,360 --> 00:34:17,180
+average بده الفترة يعني عشان جيبني الفترة ده
+
+459
+00:34:17,180 --> 00:34:22,820
+بيقولي من وقتش لوقتش فبدي T initial و T final find
+
+460
+00:34:22,820 --> 00:34:27,620
+the instantaneous acceleration بده التسرع اللحظي
+
+461
+00:34:27,620 --> 00:34:33,060
+عند أي لحظة take one to second تمام، بتهيألي لو
+
+462
+00:34:33,060 --> 00:34:37,500
+حطته الجلم لحاله على الواحد و كتبهصحيح؟ لأن
+
+463
+00:34:37,500 --> 00:34:43,990
+العملية تكرار، مافيش أي شيء جديدتجد الآن أن من
+
+464
+00:34:43,990 --> 00:34:47,570
+بطلة X Final نقص X Initial لو هالي بطلة V Final
+
+465
+00:34:47,570 --> 00:34:50,470
+نقص V Initial مثلا بدي أجيب V Final و أجيب V
+
+466
+00:34:50,470 --> 00:34:54,390
+Initial من وين كانت نهايه جاهزة ال VT relation
+
+467
+00:34:54,390 --> 00:34:58,810
+عندك جاهزة عوّض فقط عوّض على بدل T وحطي Initial
+
+468
+00:34:58,810 --> 00:35:03,570
+بتطلع V Initial وحطي Final بتطلع V Final بيقول لي
+
+469
+00:35:03,570 --> 00:35:08,690
+V Initial بتساوي خمسة T initial minus three جديش T
+
+470
+00:35:08,690 --> 00:35:12,920
+initial واناهذه من one ل two فهذه three initial
+
+471
+00:35:12,920 --> 00:35:18,100
+وهذه three final مظبوط ولا لأ؟ لأن هيك اللافظ واضح
+
+472
+00:35:18,100 --> 00:35:23,140
+فبقوللي خمسة في واحد جد ايش؟ خمسة في واحد خمسة
+
+473
+00:35:23,140 --> 00:35:28,000
+minus three فfive minus three هذا غلطات اللي بنسمع
+
+474
+00:35:28,000 --> 00:35:33,780
+فيها خمسة في واحد واحد مجمولة تمام فهذه five minus
+
+475
+00:35:33,780 --> 00:35:38,940
+three two meters per secondit's final بدي ال T
+
+476
+00:35:38,940 --> 00:35:42,800
+بتحطي final جديش T final جالي إيه؟ two فخمسة
+
+477
+00:35:42,800 --> 00:35:47,320
+multiplied by two ten minus three سبل خلص السؤال
+
+478
+00:35:47,320 --> 00:35:52,780
+بعوض سبعة نقص اتنين على اتنين نقص واحد فخمسة على
+
+479
+00:35:52,780 --> 00:35:58,600
+واحد خمسة ولا واحد فخمسة على واحد فخمس متر per
+
+480
+00:35:58,600 --> 00:36:03,180
+second squarefor the instantaneous acceleration
+
+481
+00:36:03,180 --> 00:36:07,160
+بدي أفاضل .. انتبهوا لهذه الشيء .. بدي أفاضل
+
+482
+00:36:07,160 --> 00:36:12,000
+بالنسبة للزمن .. فضلت .. إيش تفاضل؟ خمسة تيم؟ خمسة
+
+483
+00:36:12,000 --> 00:36:15,460
+.. و التلتة بتروح .. طيب .. حاجات جالية عنكي
+
+484
+00:36:15,460 --> 00:36:20,920
+بالساوي اتنين .. أيجي أعوض؟ فيه؟ مش واحد يقول و
+
+485
+00:36:20,920 --> 00:36:24,320
+الله كأنهم ناسيخ .. خليني أحط اتنين .. و تطلع عشان
+
+486
+00:36:24,320 --> 00:36:28,530
+تطلع .. بنفعك .. معطلة .. و مايستخدموهش .. بنفع؟رح
+
+487
+00:36:28,530 --> 00:36:31,510
+تقولوا الخسارة اللي نعطيها موجود لأننا لسه حنمه
+
+488
+00:36:31,510 --> 00:36:35,530
+نضرب ولا نجسم ولا نعمل لأ طيب لو جالي عنتيب تساوي
+
+489
+00:36:35,530 --> 00:36:40,550
+تلاتة تفرق؟ هذه ال acceleration constant تنهجعه
+
+490
+00:36:40,550 --> 00:36:46,430
+بالزمان فثابت عن كل الأزمان طيب يعطيكوا العافية يا
+
+491
+00:36:46,430 --> 00:36:46,790
+بنات
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/KnmQeFiQxPw_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/KnmQeFiQxPw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f20469d8fc5d9c8a293faa0e8a18d9323461f584
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/KnmQeFiQxPw_raw.srt
@@ -0,0 +1,1128 @@
+1
+00:00:21,090 --> 00:00:25,070
+موضوعنا الأخير المتبقي في هذا الـ chapter هو الـ
+
+2
+00:00:25,070 --> 00:00:31,050
+relative motion اللي حكينا مقدمة عنه وهي الحركة
+
+3
+00:00:31,050 --> 00:00:36,390
+النسبية، بيقولي suppose that two persons، عند
+
+4
+00:00:36,390 --> 00:00:39,690
+شخصين، one's to observe the motion of أطارتك،
+
+5
+00:00:39,690 --> 00:00:44,030
+الاتنين جاعدين بيلاحظوا أو بدرسوا حركة جسمك،
+
+6
+00:00:44,030 --> 00:00:47,900
+اتنين، مش واحدالـ Particle اللي قاعدين بتدرسوا
+
+7
+00:00:47,900 --> 00:00:52,600
+حركته، بتنمزه برنامج P مثل الـ Particle تمام The
+
+8
+00:00:52,600 --> 00:00:57,020
+first person اللي بدي أسميه عمر عمر is stationary
+
+9
+00:00:57,020 --> 00:01:00,420
+with respect to the air جاعد على قرصي و جاعد
+
+10
+00:01:00,420 --> 00:01:03,840
+بيلاحظ معاه ساعة و معاه متر و ممكن يعمل كل حاجة،
+
+11
+00:01:03,840 --> 00:01:07,580
+بس هو جاعد، متحركش بالمرة، بالتالي بيقول ثابت
+
+12
+00:01:07,580 --> 00:01:14,910
+بالنسبة للأرض تمام؟ is stationaryيعني ثابت with
+
+13
+00:01:14,910 --> 00:01:20,030
+respect to the air بالنسبة للأرض حلو while the
+
+14
+00:01:20,030 --> 00:01:25,190
+second person اللي بدي أسميه أحمد هذا راكب بسكرية
+
+15
+00:01:25,190 --> 00:01:29,220
+راكب سيارة اللي بدكم هي is movingتمام؟ بتحرك معاه
+
+16
+00:01:29,220 --> 00:01:33,760
+كل العدة بس مش قاعد راكب حاجة متحركة is moving
+
+17
+00:01:33,760 --> 00:01:37,700
+with constant speed related to the air و بيمشي
+
+18
+00:01:37,700 --> 00:01:41,960
+بسرعة ثابتة بنسفل الأرض متحرك حلو التانين بدهم
+
+19
+00:01:41,960 --> 00:01:47,790
+يدرسوا نفس الجسم اللي هو P حلوبقول لك the
+
+20
+00:01:47,790 --> 00:01:52,050
+reference of a frame of عمر .. عمر بدي أرمزه
+
+21
+00:01:52,050 --> 00:01:56,090
+بالرمز E من كلمة earth عشان هو و الأرض واحد صحيح
+
+22
+00:01:56,090 --> 00:01:59,610
+ولا لا؟ لأنه وجد بالنسبة للأرض بي referred by
+
+23
+00:01:59,610 --> 00:02:05,050
+frame E، frame إطار يعني الإطار اللي تبعه وكلمة E
+
+24
+00:02:05,050 --> 00:02:08,430
+from the earth عشان نعرف أنيش حطت E and the
+
+25
+00:02:08,430 --> 00:02:11,910
+reference of a frame of أحمد، A من كلمة أحمد،
+
+26
+00:02:11,910 --> 00:02:17,970
+قولنا هي E وهي أحمدبالتالي عمر هنا واقف، لا يتغير
+
+27
+00:02:17,970 --> 00:02:21,350
+مكانه، أحمد هيه هنا، عده يجي هنا، عده يروح هنا،
+
+28
+00:02:21,350 --> 00:02:25,550
+نفضل أو لا؟ وهذه النقطة، نفضل الطائر، بعدين بدرسوا
+
+29
+00:02:25,550 --> 00:02:31,370
+حركته، تماما ماشي، بشكل معين، حلو، بيقولي the
+
+30
+00:02:31,370 --> 00:02:36,670
+displacement of the particleWRT اختصار with
+
+31
+00:02:36,670 --> 00:02:41,670
+respect to with respect to يعني بالنسبة له بيقولي
+
+32
+00:02:41,670 --> 00:02:48,070
+إزاحة لو جت قولت أنا لمين قولت لا عمر اللي واجتالـ
+
+33
+00:02:48,070 --> 00:02:50,830
+particle P عنك، بده يجيب من الـ particle اللي
+
+34
+00:02:50,830 --> 00:02:54,970
+عنده، صح ولا لا، متر، ويجيسي المسافة، إذا الـ
+
+35
+00:02:54,970 --> 00:02:58,730
+displacement of the particle relative to the air،
+
+36
+00:02:58,730 --> 00:03:03,430
+يعني بالنسبة لعمر، بدي أرمزها بالرمز X ال particle
+
+37
+00:03:03,430 --> 00:03:08,050
+بالنسبة للأرض، X P with respect to E، إذا هذه
+
+38
+00:03:08,050 --> 00:03:11,570
+إزاحة ال particle بالنسبة لمن؟ للأرض، اللي هو عمر
+
+39
+00:03:13,120 --> 00:03:17,460
+هذه هي، راح جاب متر من عنده لعندي ال particle،
+
+40
+00:03:17,460 --> 00:03:22,140
+جاسها، قاللي هاي زحت دانيها، تمام هيك؟ هجيك لو
+
+41
+00:03:22,140 --> 00:03:26,760
+قولت لا يا أحمد، بدي زحتك، بدي نفسه يزحها؟ لأ، لأ،
+
+42
+00:03:26,760 --> 00:03:29,500
+هاي ايه بيديه يسويه؟ بيقوللي the displacement of
+
+43
+00:03:29,500 --> 00:03:34,440
+the particle with respect to أحمد is donated by X
+
+44
+00:03:34,440 --> 00:03:38,140
+particle بالنسبة لأحمد، particle with respect to
+
+45
+00:03:38,140 --> 00:03:41,300
+A، قاللي أنا بجيس من عندي يا أحمد، أنا بجيس من هنا
+
+46
+00:03:41,890 --> 00:03:44,050
+صحيح ولا لا؟ تمام.
+
+47
+00:03:46,430 --> 00:03:53,130
+الآن، خلّي بُعد أحمد عن عمر، بجرمزه بالرمز، جسد
+
+48
+00:03:53,130 --> 00:03:56,890
+الاسم التابعة لأحمد والجسد التابع له إيه؟ وينها؟
+
+49
+00:03:56,890 --> 00:04:02,670
+فالرسم من بينها؟ بيه؟ وين عمر؟ عمر العرض، كنت
+
+50
+00:04:02,670 --> 00:04:07,210
+سلحانة أنتي. عمر العرض، قلنا. العمر هو العرض، اللي
+
+51
+00:04:07,210 --> 00:04:11,500
+رسلناه بالرمز العرض.الـ Earth نحن نحب أن نضغط عمر
+
+52
+00:04:11,500 --> 00:04:14,820
+لـ Earth لأنها ستتكرر كلمة Earth كثيرا و لا تضغط
+
+53
+00:04:14,820 --> 00:04:17,860
+عمر و في بعض الأسئلة يحصل ان تقول الـ Earth ما هو
+
+54
+00:04:17,860 --> 00:04:21,500
+عمر واو و الـ Earth مع بعض واقفين زي بعض تمام؟ وين
+
+55
+00:04:21,500 --> 00:04:26,280
+عمر؟ أعرفنا أحمد مبين ايه؟ حلو هجت وين المسافة
+
+56
+00:04:26,280 --> 00:04:30,760
+تبعت أحمد عن عمر؟ حلو هين مبينة و لا مش مبينة؟
+
+57
+00:04:30,760 --> 00:04:36,770
+هيها حلو بتعرفوا أن هذابتساوي هادي وهادي زايد
+
+58
+00:04:36,770 --> 00:04:41,650
+هادي؟ و لا في مشكلة؟ باينها، حقيقية، تطلعيش،
+
+59
+00:04:41,650 --> 00:04:45,490
+تطلعيش، تخليكي معاها، ترسميش، مارسوم عندك، هادي
+
+60
+00:04:45,490 --> 00:04:49,630
+المسافة شفاها، بتساوي هادي وهادي و لا؟ هادي، سهل
+
+61
+00:04:49,630 --> 00:04:52,550
+أمورنا، بقول هادي هادي، from the figure we can
+
+62
+00:04:52,550 --> 00:04:58,270
+write XPE تبعات ال particle بالنسبة للأرض بتساوي X
+
+63
+00:04:58,270 --> 00:05:01,470
+تبعات أحمد بالنسبة للأرض زايد X تبعات ال particle
+
+64
+00:05:01,470 --> 00:05:05,880
+بالنسبة لأحمد، في مشكلة؟ يا الله ما أسهلهاجالي طيب
+
+65
+00:05:05,880 --> 00:05:13,700
+السرعة .. نقسم على الزمان .. نقسم السرعة .. نقسم
+
+66
+00:05:13,700 --> 00:05:16,880
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+67
+00:05:16,880 --> 00:05:17,820
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+68
+00:05:17,820 --> 00:05:17,960
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+69
+00:05:17,960 --> 00:05:18,100
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+70
+00:05:18,100 --> 00:05:18,100
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+71
+00:05:18,100 --> 00:05:18,120
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+72
+00:05:18,120 --> 00:05:18,120
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+73
+00:05:18,120 --> 00:05:18,140
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+74
+00:05:18,140 --> 00:05:20,060
+السرعة .. نقسم السرعة .. نقسم السرعة .. نقسم
+
+75
+00:05:20,060 --> 00:05:24,940
+السرعة .. نقdifferentiate with respect to T بدي
+
+76
+00:05:24,940 --> 00:05:29,840
+أعمل تفاضل أعمل مشتقة لما أشتق في X هذه تديني سرعة
+
+77
+00:05:29,840 --> 00:05:33,860
+سرعة ال particle بالنسبة للأرض صح ولا أشتق هذه
+
+78
+00:05:33,860 --> 00:05:38,140
+سرعة ال particle بالنسبة لأحمد أشتق هذه سرعة أحمد
+
+79
+00:05:38,140 --> 00:05:42,450
+بالنسبة للأرض لأن أحمد ما يتحرك ما هواللي طلعتها
+
+80
+00:05:42,450 --> 00:05:46,290
+القناة اتطلعوا عشان نبدأ نحفظ الرموز في منها
+
+81
+00:05:46,290 --> 00:05:49,810
+هتتغير احنا عندنا أحمد هال gate وعندنا particle P
+
+82
+00:05:49,810 --> 00:05:54,510
+بكرا ال particle بيصير قارب ممكن يصير طائر ممكن
+
+83
+00:05:54,510 --> 00:05:58,350
+يصير طيارة و أحمد هيصير شغل تاني سيارة ولا طيارة
+
+84
+00:05:58,350 --> 00:06:01,890
+بس الأرض هتبقى لها أرض تمام؟ اتطلعوا عليها شوفوا
+
+85
+00:06:01,890 --> 00:06:05,810
+ال A مع ال E شايفينهم جانب بعيد؟ لما ينتقلوا إيش
+
+86
+00:06:05,810 --> 00:06:11,620
+بيضالوا؟ B وEتبتوا عليا عشان و تتحطوا يعني اللي
+
+87
+00:06:11,620 --> 00:06:13,300
+ايه و اللي ايه اللي اتقوا و ضلوا هدول بيكون
+
+88
+00:06:13,300 --> 00:06:17,620
+المعادلة صحيحة بس ده test عشان تعملوا أنكم بتشغلوا
+
+89
+00:06:17,620 --> 00:06:20,620
+صح ولا لأ؟ و هي سهلة بيقوللي سرعة ال particle
+
+90
+00:06:20,620 --> 00:06:23,840
+بالنسبة للأرض بساوي سرعة ال particle بالنسبة لأحمد
+
+91
+00:06:23,840 --> 00:06:27,260
+زي سرعة أحمد بالنسبة للأرض عملية سهلة جدا مافيش
+
+92
+00:06:27,260 --> 00:06:33,320
+أسهل منها تمام؟ نشوف هالمثال سهلة العملية؟ مافيش
+
+93
+00:06:33,320 --> 00:06:39,970
+أسهل منها نتطلع بيقوللي أمانرجال، إن أقار طب إن
+
+94
+00:06:39,970 --> 00:06:43,570
+أقار و بيمشي إذا هذا ال man ثابت ولا بيمشي؟ بيمشي
+
+95
+00:06:44,730 --> 00:06:49,210
+زي وزي أحمد زي وزي أحمد is he driving on a
+
+96
+00:06:49,210 --> 00:06:52,450
+straight highway؟ بمشي جاعد .. highway ما هي طريق
+
+97
+00:06:52,450 --> 00:06:56,690
+سريعة، ما أنتوا عارفين تمام at constant speed of
+
+98
+00:06:56,690 --> 00:07:01,750
+70 km per hour relative to the air بالنسبة للأرض
+
+99
+00:07:01,750 --> 00:07:08,150
+هذه سرعة المان بالنسبة ليش للأرض مي .. هذي عفنوها
+
+100
+00:07:08,150 --> 00:07:14,850
+بالرمز تمام صدلي هو ماشي فجأة لجوا قدامه truckهو
+
+101
+00:07:14,850 --> 00:07:21,670
+يجد طرق تتجه في نفس الاتجاه، تتجه في نفس الاتجاه،
+
+102
+00:07:21,670 --> 00:07:24,210
+تتجه في نفس الاتجاه، تتجه في نفس الاتجاه، تتجه في
+
+103
+00:07:24,210 --> 00:07:24,210
+نفس الاتجاه، تتجه في نفس الاتجاه، تتجه في نفس
+
+104
+00:07:24,210 --> 00:07:24,510
+الاتجاه، تتجه في نفس الاتجاه، تتجه في نفس الاتجاه،
+
+105
+00:07:24,510 --> 00:07:24,510
+تتجه في نفس الاتجاه، تتجه في نفس الاتجاه، تتجه في
+
+106
+00:07:24,510 --> 00:07:24,530
+نفس الاتجاه، تتجه في نفس الاتجاه، تتجه في نفس
+
+107
+00:07:24,530 --> 00:07:28,170
+الاتجاه، تتجه في نفس الاتجاه، تتجه في نفس الاتجاه،
+
+108
+00:07:28,170 --> 00:07:33,730
+تتجه في نفس الاتجاه، تتجه في نفس الاتجاه،
+
+109
+00:07:38,530 --> 00:07:43,010
+وهو اللي جال شايف ال truck هل هتكون سرعة ال truck
+
+110
+00:07:43,010 --> 00:07:49,330
+بالنسباله ستين؟ لا طبعا لامظبط ولا .. طيب، طب
+
+111
+00:07:49,330 --> 00:07:51,750
+بيقولي what is the velocity of the car related to
+
+112
+00:07:51,750 --> 00:07:53,930
+the truck؟ طب السواك تبقى على ال truck، بيشوف
+
+113
+00:07:53,930 --> 00:07:57,990
+السيارة كيف تمشي، بيتقدر صراعتها بالنسباله، هجيب،
+
+114
+00:07:57,990 --> 00:08:00,130
+الرجال اللي في ال car، بيجي صراعة ال truck
+
+115
+00:08:00,130 --> 00:08:03,350
+بالنسباله، و الرجال اللي في ال truck، بيجي صراعة
+
+116
+00:08:03,350 --> 00:08:08,290
+السيارة بالنسباله، حلو، بيقولي if the car spots
+
+117
+00:08:08,290 --> 00:08:11,490
+the truck أول ما شاف ليه truck، كانت المسافة بينهم
+
+118
+00:08:11,490 --> 00:08:15,270
+واحد و نص كيلو مترأول ما شافه قالت جديش ما هتاخد
+
+119
+00:08:15,270 --> 00:08:20,850
+معاوجة عشان يفوق ال truck how long does it take
+
+120
+00:08:20,850 --> 00:08:25,890
+the car to overtake the truck عشان يتجوز ال truck
+
+121
+00:08:25,890 --> 00:08:30,010
+لو التنين ماشي بنفس السرعة عمره بتجوزه لا مستحيل
+
+122
+00:08:30,010 --> 00:08:34,760
+لأنه بتكون سرعة ال car بالنسبة لل truck zeroعدنا
+
+123
+00:08:34,760 --> 00:08:38,840
+نشوف، لكن الآن، مين أسرع يا بنات؟ الـ truck ولا
+
+124
+00:08:38,840 --> 00:08:41,180
+السيارة؟ السيارة، إذا غصبنا عنها السيارة،
+
+125
+00:08:41,180 --> 00:08:47,060
+هتلاحظوا، بتتجاوزوا، صحيح؟ تمام، كم بدنا نحل؟ هذا،
+
+126
+00:08:47,060 --> 00:08:49,620
+طبعا، إذا فهمنا هذا الموضوع الشبطر اللي وراه في
+
+127
+00:08:49,620 --> 00:08:53,180
+موضوع أوسع شوية، بيكون أسهل لنا، احنا هذا bond
+
+128
+00:08:53,180 --> 00:08:56,220
+direction بيغلبناش، بيقول ليه بدنا نشتغل في هذه
+
+129
+00:08:56,220 --> 00:09:02,380
+الشغلة؟ let V ال truck بالنسبة لل car هدى TTruck و
+
+130
+00:09:02,380 --> 00:09:06,840
+C من Car T و C يعني سرعة السيارة التي تتعلق
+
+131
+00:09:06,840 --> 00:09:07,820
+بالسيارة التي تتعلق بالسيارة التي تتعلق بالسيارة
+
+132
+00:09:07,820 --> 00:09:10,100
+التي تتعلق بالسيارة التي تتعلق بالسيارة التي تتعلق
+
+133
+00:09:10,100 --> 00:09:12,300
+بالسيارة التي تتعلق بالسيارة التي تتعلق بالسيارة
+
+134
+00:09:12,300 --> 00:09:13,440
+التي تتعلق بالسيارة التي تتعلق بالسيارة التي تتعلق
+
+135
+00:09:13,440 --> 00:09:15,460
+بالسيارة التي تتعلق بالسيارة التي تتعلق بالسيارة
+
+136
+00:09:15,460 --> 00:09:18,900
+التي تتعلق بالسيارة التي تتعلق بالسيارة التي تتعلق
+
+137
+00:09:18,900 --> 00:09:20,400
+بالسيارة التي تتعلق بالسيارة التي تتعلق بالسيارة
+
+138
+00:09:20,400 --> 00:09:29,040
+التي تتعلق بالسيارة التي تتعلق بالسيارة التي تتعلق
+
+139
+00:09:29,040 --> 00:09:35,280
+بالتمامًا، ومقارنةً، سرعة السيارة والسيارة التي
+
+140
+00:09:35,280 --> 00:09:39,100
+تتعلق بالأرض، سيارة وسيارة، تمامًا، قاللي الأهلي
+
+141
+00:09:39,100 --> 00:09:44,040
+المهاجر، أيش بتقول؟ سرعة السيارة بالنسبة للأرض،
+
+142
+00:09:44,040 --> 00:09:47,460
+بالسوء سرعة السيارة بالنسبة للسيارة زي سرعة
+
+143
+00:09:47,460 --> 00:09:52,600
+السيارة بالنسبة للأرض،
+
+144
+00:09:55,840 --> 00:10:01,900
+ظال TE TE هي ال C جنب ال C إذا سرعة ال truck
+
+145
+00:10:01,900 --> 00:10:04,540
+بالنسبة للأرض بسوة سرعة ال truck بالنسبة لل سيارات
+
+146
+00:10:04,540 --> 00:10:07,740
+أو سرعة السيارات بالنسبة للأرض طيب إيش بده هو في
+
+147
+00:10:07,740 --> 00:10:11,020
+الأول مطلوب؟ what is the velocity of the truck
+
+148
+00:10:11,020 --> 00:10:16,130
+relative to the car؟ يعني بده هاديبساوي هادي نقص
+
+149
+00:10:16,130 --> 00:10:21,030
+هادي ولا لا؟ العملية كتير سهلة بتصير بقوله إذا V
+
+150
+00:10:21,030 --> 00:10:26,210
+ال truck بالنسبة لل car بتساوي V TE minus VC هادي
+
+151
+00:10:26,210 --> 00:10:30,470
+ستين هادي نقص سبعين نقص عشرة كيلو متر بالpower إذا
+
+152
+00:10:30,470 --> 00:10:38,370
+السيارة بتشوف ال truck عمله ديجي عليهاصح ولا لا؟
+
+153
+00:10:38,370 --> 00:10:42,590
+ليش؟ لأنه عن أقصى عشرة عملوا بيجي عنده باتجاه
+
+154
+00:10:42,590 --> 00:10:45,370
+المعاكس يعني هو السيارة هو بيطلع على الطرق و هو
+
+155
+00:10:45,370 --> 00:10:48,290
+الطرق دا قاعد بيجرب عليا لكن هو هو اللي بيجرب عليه
+
+156
+00:10:48,290 --> 00:10:54,270
+لكن اللي جوا السيارة بيشوف الطرق عمله جيد هاذي
+
+157
+00:10:54,270 --> 00:10:57,370
+معناه اشهارة السالق انه انا ماشي هيك هي موجدي
+
+158
+00:10:57,370 --> 00:11:00,090
+الطرق سالق معناه تتجاه المعاكس
+
+159
+00:11:06,930 --> 00:11:13,410
+حلو انت ماشية في شارع عم المختار تمام؟ بلاي
+
+160
+00:11:15,670 --> 00:11:19,870
+انت ماشي هيك تمام؟ احنا ماشيين هيك؟ انت لما شوفتي
+
+161
+00:11:19,870 --> 00:11:24,590
+ال truck كان قدامك ماشي معاكي لكن انت وانت بتتطلع
+
+162
+00:11:24,590 --> 00:11:28,670
+عليه بتشوفيه كأنه جايكي بس هو ده بالنسبة إليك لكن
+
+163
+00:11:28,670 --> 00:11:32,730
+واحد برا يقول لأ ده ماشي .. ماشيين نفس الاتجاه إذا
+
+164
+00:11:32,730 --> 00:11:37,890
+ماشيين بنفس الاتجاه بالنسبة للأرض بالنسبة لو واحد
+
+165
+00:11:37,890 --> 00:11:41,650
+واقف برا لكن بالنسبة إليك انت جوا السيارة بتشوفيه
+
+166
+00:11:41,650 --> 00:11:44,790
+يجي عليكي ليش؟
+
+167
+00:11:45,690 --> 00:11:51,270
+لا مستحيل، يجب أن يكون هكذا يا عم ما هو أنت برا
+
+168
+00:11:51,270 --> 00:11:54,650
+بتشوف الـTenebrous الاتجاه لما تكوني برا .. ثمني
+
+169
+00:11:54,650 --> 00:11:58,910
+لما تكوني برا أنت بتجيسي بالنسبة للأرض لما تكوني
+
+170
+00:11:58,910 --> 00:12:01,550
+برا بتكوني أنت زي إيه؟ زي عمر اللي واجد برا قاعد
+
+171
+00:12:01,550 --> 00:12:04,710
+برصد فهمت عليها؟ هجيد أنت لما تكوني دي وما السيارة
+
+172
+00:12:04,710 --> 00:12:08,310
+بطلت تجيسي بالنسبة إيه للأرض؟ بتجيسي بالنسبة إليك؟
+
+173
+00:12:08,310 --> 00:12:11,110
+سيارة سيارة تمام؟ هجد أنت هتلحق الـTruck ولا مش
+
+174
+00:12:11,110 --> 00:12:15,090
+هتلحق دي؟يعني معناته نفسك هيجرب عليك ولا مش هيجرب
+
+175
+00:12:15,090 --> 00:12:18,710
+عليك؟ هيجرب عليك، عشان يجرب عليك، بتروح هيك ولا
+
+176
+00:12:18,710 --> 00:12:23,250
+بتيجي عليك؟ بتيجي عليك، لأن لو انت شفتيه هيك، عمرك
+
+177
+00:12:23,250 --> 00:12:27,670
+ما هتصليه، انت لو شفتيه رايح هيك، اوكي ما هتصليه،
+
+178
+00:12:27,670 --> 00:12:31,350
+هو عمّال هو ببعد جاعد، أما لما يجرب عليك، المعنات
+
+179
+00:12:31,350 --> 00:12:34,270
+الخاصة معاهم هيجيكي، هيجيكي هو اللي انت رايح حاله،
+
+180
+00:12:34,270 --> 00:12:37,740
+مش مش مغيار، في النهاية أخر هتجابلهيعني بعدي ..
+
+181
+00:12:37,740 --> 00:12:38,980
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+182
+00:12:38,980 --> 00:12:39,000
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+183
+00:12:39,000 --> 00:12:39,020
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+184
+00:12:39,020 --> 00:12:39,020
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+185
+00:12:39,020 --> 00:12:45,540
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+186
+00:12:45,540 --> 00:12:48,560
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+187
+00:12:48,560 --> 00:12:49,440
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+188
+00:12:49,440 --> 00:12:49,440
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+189
+00:12:49,440 --> 00:12:50,000
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+190
+00:12:50,000 --> 00:12:50,040
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+191
+00:12:50,040 --> 00:12:50,040
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+192
+00:12:50,040 --> 00:12:53,920
+يعني .. يعني .. يعني .. يعني .. يعني .. يعني ..
+
+193
+00:12:53,920 --> 00:12:57,980
+يعني ..تمام؟ انت .. انت حاولي اعمليها، ما تطلعيش
+
+194
+00:12:57,980 --> 00:13:01,180
+على حاجة حواليك من المرة عشان تجيسي من اسم الأرض،
+
+195
+00:13:01,180 --> 00:13:04,860
+هتلاقيها كأنه بالظبط بجرب عليكي، هتلاقيها بالظبط،
+
+196
+00:13:04,860 --> 00:13:09,900
+perfectly، انه كأنه دييكي، وطبعا في الآخر انت ..
+
+197
+00:13:09,900 --> 00:13:16,370
+هو حيصلك، وانت تتجوزيه، تمام؟الـ minus sign تشير
+
+198
+00:13:16,370 --> 00:13:19,690
+إلى أن السيارة تتحرك في الاتحاد المناسب لأن
+
+199
+00:13:19,690 --> 00:13:24,270
+السيارة و السيارة تتحرك عكس بعيد عن السيارة .. هنا
+
+200
+00:13:24,270 --> 00:13:26,070
+السيارة أسف .. السيارة
+
+201
+00:13:33,610 --> 00:13:37,490
+بقولي again، the velocity of the car بقولي برضه
+
+202
+00:13:37,490 --> 00:13:42,030
+بقدر أقول إن سرعة الـCar بالنسبة للأرض بتساوي سرعة
+
+203
+00:13:42,030 --> 00:13:44,830
+الـCar بالنسبة للـTruck زي سرعة الـTruck بالنسبة
+
+204
+00:13:44,830 --> 00:13:55,070
+للأرض ولا لا نفس القضية بنعملها نرجع
+
+205
+00:13:55,070 --> 00:13:59,130
+كده مرة يا بنات، شايفين الـT؟بروحوا مع بعض ولا لأ؟
+
+206
+00:13:59,130 --> 00:14:02,370
+بتظهر المعادلة صحيحة، إذا المعادلة مافيش فيها إنا
+
+207
+00:14:02,370 --> 00:14:09,330
+مشكلة، بده هالجهة صرعة ال car بالنسبة لل truckلما
+
+208
+00:14:09,330 --> 00:14:13,030
+جيت .. جيت ال car بالنسبة لل truck عشرة كيلو متر
+
+209
+00:14:13,030 --> 00:14:15,830
+بالأوام ال truck ماشي هيك لكن السيارة رايحة هيك
+
+210
+00:14:15,830 --> 00:14:19,070
+على ال truck برضه نفس العملية ال truck .. ال truck
+
+211
+00:14:19,070 --> 00:14:22,230
+هناك شايف السيارة رايحاله فبتكون رايحاله على هذا
+
+212
+00:14:22,230 --> 00:14:25,630
+الاتجاه أما ال car بالنسبة لل .. ال truck بالنسبة
+
+213
+00:14:25,630 --> 00:14:29,150
+لل car كانت جاية بالاتجاه هذا فسرعتهم كل واحد
+
+214
+00:14:29,150 --> 00:14:33,820
+بالنسبة للتانية عشرة كيلو متر بالأوام طبعا واضحإنه
+
+215
+00:14:33,820 --> 00:14:36,860
+سرعة الـ Car بالنسبة للـ Truck و سرعة الـ Truck
+
+216
+00:14:36,860 --> 00:14:40,560
+بالنسبة للـ Car نفس الشيء بس اتجاه معاكس، كل واحد
+
+217
+00:14:40,560 --> 00:14:46,940
+بيشوفه بالاتجاه المعاكس، حلو؟ الآن المطلوب التالت،
+
+218
+00:14:46,940 --> 00:14:52,040
+إيش أسوي؟ المطلوب التالت بقولي المسافة اللي بينهم
+
+219
+00:14:52,040 --> 00:14:57,100
+واحد و نص كيلومتر، مش هيك اتفقنا؟ طيب أنا بعرف في
+
+220
+00:14:57,100 --> 00:15:03,790
+زمن بساوي مسافة على سرعة، صحيح؟عشان أي IT بسرعة،
+
+221
+00:15:03,790 --> 00:15:08,730
+سرعة عيش عليش أنا بدل ما أقعد أقول هذا جديش بده
+
+222
+00:15:08,730 --> 00:15:13,050
+يمشي و هذا جديش بده يمشي و أطرح و أجمع بريح حالي
+
+223
+00:15:13,050 --> 00:15:18,350
+بقول سرعة واحد بالنسبة للتانية عشرة على واحد و نص
+
+224
+00:15:18,350 --> 00:15:21,810
+.. واحد و نص على عشرة بطلع الزمن و خلاص و بريح
+
+225
+00:15:21,810 --> 00:15:27,970
+حالي من هان بالمرة عيد الوقت اللي كان عليه السيارة
+
+226
+00:15:27,970 --> 00:15:34,520
+أن تتجاهيعني يتجاوز The truck is يقول هي تي بتساوي
+
+227
+00:15:34,520 --> 00:15:39,260
+المسافة على سرعة ال car بالنسبة لل truck وخلاص
+
+228
+00:15:39,260 --> 00:15:45,380
+وكأنه اعتبروا ان ال truck واقف اعتبروا ان ال truck
+
+229
+00:15:45,380 --> 00:15:52,810
+واقف عشان ي .. السيارةتتجاوز أو تقطع الـ 1.5
+
+230
+00:15:52,810 --> 00:15:57,350
+كيلومتر مش أنا بدي سرعة الـ car بالنسبة للعرض اللي
+
+231
+00:15:57,350 --> 00:16:01,530
+كانت واقفة هي هجيب ال truck متحرك ماتفرجش معايا
+
+232
+00:16:01,530 --> 00:16:08,770
+مزال أنا بدي الزمن اللي لازم عشان ال car تتجاوز ال
+
+233
+00:16:08,770 --> 00:16:12,730
+truck بدي المسافة بين ال car و ال truck و أجسمها
+
+234
+00:16:12,730 --> 00:16:17,810
+على سرعة ال car بالنسبة لل truck و خلصنا تمام؟
+
+235
+00:16:17,810 --> 00:16:24,010
+هجيب طبعاطلعت حوالي 15% من ال hour وهذه بتعمل
+
+236
+00:16:24,010 --> 00:16:28,310
+بدرومة في ستين تطلع تسعة minutes فبعد تسعة دقائق
+
+237
+00:16:28,310 --> 00:16:32,890
+يستطيع بهذه السرعة ان ال car overtake the truck
+
+238
+00:16:32,890 --> 00:16:39,430
+طبعا واضح انتوا قلكم ان لو كانوا اتنين بيفشوا بنفس
+
+239
+00:16:39,430 --> 00:16:44,130
+السرعة عمره حد يلحق التاني عشان ما حد يلحق التاني
+
+240
+00:16:44,130 --> 00:16:48,980
+المفروض ان يكون اتنينه مقفلصح ولا لأ؟ لأن إذا واحد
+
+241
+00:16:48,980 --> 00:16:51,460
+واقف واحد، مش يبقى يحاجوا التاني، يبقى بعيد، لكن
+
+242
+00:16:51,460 --> 00:16:54,640
+واحد هنا و واقف و رابطه، و التاني عند الحيط هدك و
+
+243
+00:16:54,640 --> 00:16:59,040
+رابطه، لا حد قادر يجرب ولا حد قادر يبعد، صح ولا
+
+244
+00:16:59,040 --> 00:17:03,160
+لأ؟ جديش بده زمن عشان يصلوا بعيد؟ ما لا نهاية، ما
+
+245
+00:17:03,160 --> 00:17:09,100
+لا نهاية طيب، في هذه الحالة، لو التنين هدّى سبعين
+
+246
+00:17:09,100 --> 00:17:13,660
+و هدّى سبعين، جديش بتطلع السرعة؟ سفرلما تطلع هذه
+
+247
+00:17:13,660 --> 00:17:17,300
+السفرة، تصير من النهاية، عمراش تبقى لاحقوا بعض،
+
+248
+00:17:17,300 --> 00:17:20,540
+عشان كده زي ما اتفقت أنا وياكم، إذا ماشيين بنفس
+
+249
+00:17:20,540 --> 00:17:24,660
+السرعة، بتحس إنه واقفين بالنسبالي بعض، زي ما أنا
+
+250
+00:17:24,660 --> 00:17:28,580
+حكيت المحاضرة الماضية، بلاش يكونوا جدا بعض، يكونوا
+
+251
+00:17:28,580 --> 00:17:33,480
+كبار بعض، أنت في سيارة، أختك في سيارة جانبك، كمان؟
+
+252
+00:17:33,480 --> 00:17:36,560
+أنتوا ماشيين بنفس السرعة، إيه سرعت أختك بالنسبالك؟
+
+253
+00:17:36,560 --> 00:17:42,180
+Zero وسرعتك بالنسبالي وقتك؟ Zeroوحاولوا تجربوا إذا
+
+254
+00:17:42,180 --> 00:17:45,840
+صارت في فرصة تجربوا، ما تتطلعوش إلا على وجه أخكم
+
+255
+00:17:45,840 --> 00:17:48,400
+أو صاحبيكم، بس على وجهي، لأن لو طلعتوا على شغلة
+
+256
+00:17:48,400 --> 00:17:51,840
+تانية، بصير الإحساس مختلف، هتلاجوها بالظبط ثابتة
+
+257
+00:17:51,840 --> 00:17:57,020
+تماما، لكن لو عينكم ضربت على شغل في الشارع،
+
+258
+00:17:57,020 --> 00:17:59,580
+هتلاجوا حاجكم قاعدين تمشي، لأن لو عينكم ضربت على
+
+259
+00:17:59,580 --> 00:18:02,420
+شغل في الشارع، بصيروا دجيسوا بالنسبة للأرض يا بنات
+
+260
+00:18:03,020 --> 00:18:05,660
+بتصير انت تجيسه بالنسبة للأرض، لكن لما انت تكون
+
+261
+00:18:05,660 --> 00:18:08,880
+مركزين بس على الوجه اللي هو بتحرك أو على البنقاد
+
+262
+00:18:08,880 --> 00:18:13,260
+اللي هو بتحرك، بتصير القياس صحيح، انك انت with
+
+263
+00:18:13,260 --> 00:18:17,480
+respect to هبة ولا فاطمة ولا مش عارف مين هي اللي
+
+264
+00:18:17,480 --> 00:18:20,540
+موجودة عندكم، وبالتالي بتكون القياس صحيحة، وهذه
+
+265
+00:18:20,540 --> 00:18:25,620
+شعور بتحسوه لو انتوا اتعمدتوا هتحسوه بسهولة، لأن
+
+266
+00:18:25,620 --> 00:18:29,700
+شغل الحياتية كل يوم بصير معاكم،كل يوم، بمكانكم
+
+267
+00:18:29,700 --> 00:18:32,680
+بسهولة تحسوا فيها، وحتى اللي انت اختلفت معايا فيها
+
+268
+00:18:32,680 --> 00:18:40,300
+.. و كلها، حتى الشغل اللي قدامك، انت راكزي على
+
+269
+00:18:40,300 --> 00:18:43,800
+اللي قدامك، و اطلع عليها، و تكون أسرع منك، راكزي
+
+270
+00:18:43,800 --> 00:18:46,780
+عليها، هتلاقيها هو كائن هجياكي، بالظبط تكون كائن
+
+271
+00:18:46,780 --> 00:18:51,060
+هجياكي، برضه بإمكانك تعمليه، يعني هذا المثال، كل
+
+272
+00:18:51,060 --> 00:18:55,330
+واحد فيكم كل يوم ممكن تتحقق منهكل يوم ممكن تتحقق
+
+273
+00:18:55,330 --> 00:19:00,130
+منه بهذه الكيفية طبعا ال relative motion احنا
+
+274
+00:19:00,130 --> 00:19:04,690
+هنعيدها بس ب two dimensions
+
+275
+00:19:04,690 --> 00:19:11,340
+وبالتالي موضوعنافي ال chapter القادم هيكون تقريبا
+
+276
+00:19:11,340 --> 00:19:16,620
+تكرار لل chapter هذا اللي خلص بس بدل ما هو ب one
+
+277
+00:19:16,620 --> 00:19:20,160
+dimension هيكون ب two dimensions هيكون في عندنا
+
+278
+00:19:20,160 --> 00:19:24,860
+حركة project ال motion حركة المخلوفات و هيكون في
+
+279
+00:19:24,860 --> 00:19:28,920
+عنده واحد بتحرك سين و واحد بتحرك صاد كيف نتعامل
+
+280
+00:19:28,920 --> 00:19:33,100
+معاه كل هذه الأمور هنبدأ فيها ال chapter الجاي
+
+281
+00:19:33,100 --> 00:19:37,580
+عشان أفتح لكم ال quiz هذا يوم السبعي ان شاء الله
+
+282
+00:19:38,140 --> 00:19:38,300
+أحسنت
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/RCDLNc6Fjbs_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/RCDLNc6Fjbs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a266686eac53587a497a81d6cfaa6079ba517246
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/RCDLNc6Fjbs_raw.srt
@@ -0,0 +1,1828 @@
+1
+00:00:20,700 --> 00:00:23,780
+بسم الله الرحمن الرحيم استكمل ما تبقى من الـ
+
+2
+00:00:23,780 --> 00:00:30,160
+Chapter بدأنا بنجرس الـ Collagen بالتفصيل وقلنا إن
+
+3
+00:00:30,160 --> 00:00:34,280
+لو كان في عندي one-dimensional elastic collagen
+
+4
+00:00:34,280 --> 00:00:37,600
+طبعا كنا بنذكر إن الـ elastic collagen بتكون
+
+5
+00:00:37,600 --> 00:00:40,720
+بالإضافة إلى ال momentum الـ kinetic energy is
+
+6
+00:00:40,720 --> 00:00:43,900
+also conserved وبالتالي بيصيح في عندي معادلتين
+
+7
+00:00:43,900 --> 00:00:48,560
+conservation نكتبهم و بنخلع المجاهيل اللي عندنا
+
+8
+00:00:49,140 --> 00:00:53,820
+إحنا اتفقنا لما يكون في عندي one dimensional بيكون
+
+9
+00:00:53,820 --> 00:00:59,040
+عندي فقط مركبة واحدة للسرعة بضل أنك تتعرف السرعة
+
+10
+00:00:59,040 --> 00:01:02,240
+موجبة ولا سالبة بحسب ال direction اللي أخدته موجب
+
+11
+00:01:02,240 --> 00:01:05,860
+إليك واللي كتبناها ال remark in applying the above
+
+12
+00:01:05,860 --> 00:01:09,140
+equation we have to take into account the signs of
+
+13
+00:01:09,140 --> 00:01:13,280
+the speeds كيف؟ موجبة أو سالبة؟ نفترض إن أخدنا
+
+14
+00:01:13,280 --> 00:01:18,320
+حاجة اليمين هي الموجب كل سرعة اليسار تعتبر سالبة
+
+15
+00:01:18,690 --> 00:01:22,710
+وبدأنا باستخدام الانقلاب بين الانقلاب بين الانقلاب
+
+16
+00:01:22,710 --> 00:01:22,830
+بين الانقلاب بين الانقلاب بين الانقلاب بين
+
+17
+00:01:22,830 --> 00:01:24,170
+الانقلاب بين الانقلاب بين الانقلاب بين الانقلاب
+
+18
+00:01:24,170 --> 00:01:29,630
+بين الانقلاب بين الانقلاب
+
+19
+00:01:29,630 --> 00:01:31,990
+بين الانقلاب بين الانقلاب بين الانقلاب بين
+
+20
+00:01:31,990 --> 00:01:40,130
+الانقلاب بين الانقلاب بين الانقلاب بين الانقلابالـ
+
+21
+00:01:40,130 --> 00:01:43,870
+P-initial، الـ momentum قبل الكوليجين، تسوى الـ
+
+22
+00:01:43,870 --> 00:01:47,250
+momentum بعد الكوليجين، عشان هم two particles، ال
+
+23
+00:01:47,250 --> 00:01:50,590
+momentum بيكون sum of the two momentum، وبالتالي
+
+24
+00:01:50,590 --> 00:01:56,290
+M1 V1 final و M2 V2 final، على اعتبار V1 final و
+
+25
+00:01:56,290 --> 00:02:00,440
+V2 final مجهيل يا بنادي، عندي مجولينV1 Initial و
+
+26
+00:02:00,440 --> 00:02:03,480
+V2 Initial يُعطى لكم أن الجسمين قبل ما يتصادموا
+
+27
+00:02:03,480 --> 00:02:07,140
+إيش كان موضوعهم؟ واحد يتحرك يمين بسرعة كذا واتالي
+
+28
+00:02:07,140 --> 00:02:10,820
+يتحرك يمين أو شمال بسرعة كذا إيش جدّي سرعتهم بعد
+
+29
+00:02:10,820 --> 00:02:14,760
+ما تصادموا؟ V1 Initial و V2 Initial دائما يكونوا
+
+30
+00:02:14,760 --> 00:02:21,980
+معطيين و V1 Final و V2 Final هم المجاهين تمامعشان
+
+31
+00:02:21,980 --> 00:02:26,140
+بس ارتب المعادلة اتفقنا انه انا بدي اخد ال M1 عام
+
+32
+00:02:26,140 --> 00:02:31,620
+المشترك فصارت V1 initial minus V1 final و M2 بنفس
+
+33
+00:02:31,620 --> 00:02:38,000
+القضية الآن عشان الـ Collegiate is elasticبإمكاني
+
+34
+00:02:38,000 --> 00:02:42,560
+اكتب معادلة conservation of kinetic energy اللي هي
+
+35
+00:02:42,560 --> 00:02:45,840
+The kinetic energy before collision equals the
+
+36
+00:02:45,840 --> 00:02:49,060
+kinetic energy after collision هذه معادلة جبرية
+
+37
+00:02:49,060 --> 00:02:53,300
+ينصاص بروحوا مع بعض و ال M1 أخدها عامل مشاركة تطلع
+
+38
+00:02:53,300 --> 00:02:58,210
+عندها كده معادلةفي عندي فرق بين مربعين بأشتغل و
+
+39
+00:02:58,210 --> 00:03:02,190
+أشتغل دبري فطلعت عندي المعادلة رقم اتنين الان واحد
+
+40
+00:03:02,190 --> 00:03:06,130
+و اتنين عشان أشتغلهم بدي أطرح واحد على التاني و
+
+41
+00:03:06,130 --> 00:03:08,950
+احنا اتفقنا فيها كذا معادلات المشكلة ان عندي
+
+42
+00:03:08,950 --> 00:03:13,740
+معادلتين بمجهونين شغل طبيعيةبقدر أحل لكن كون أن
+
+43
+00:03:13,740 --> 00:03:17,620
+المعادلة التانية تربيعية والمعادلة الأولى خطية
+
+44
+00:03:17,620 --> 00:03:21,400
+بيصير الشغل الرياضي بدون إنتباه فإحنا أحد ال
+
+45
+00:03:21,400 --> 00:03:25,460
+tricks اللي عندنا أن المعادلة التربيعية حولتها
+
+46
+00:03:25,460 --> 00:03:30,300
+لمعادلة خطية إن عملت فرق من المربعين و جسمت على
+
+47
+00:03:30,300 --> 00:03:36,200
+بعض فطلع عندى the one initial طبعا الأولى ..
+
+48
+00:03:36,200 --> 00:03:40,600
+أنجلها على اللوحة عشان بس أشوفها .. بلاشأحنا
+
+49
+00:03:40,600 --> 00:03:45,520
+الأولى طلعت عندي M1 V1 initial minus V1 final
+
+50
+00:03:45,520 --> 00:03:51,220
+بيسوي M2 V2 final minus V2 initial مظبوط ولا لأ
+
+51
+00:03:51,220 --> 00:03:54,940
+اللي هي هذه التانية اللي طلعت معايا هذه هي بعد ما
+
+52
+00:03:54,940 --> 00:03:58,900
+جيبت الإنصاص روحه هذه جيبتها هنا وهذه وديتها هنا
+
+53
+00:03:58,900 --> 00:04:05,680
+وفكت بين مربعين لما أجسم هذه مع هذه بتروحو مع ال M
+
+54
+00:04:05,680 --> 00:04:11,180
+واحد و هذه ما حد بتروح مع ال M بيظل عندي هذه بتسوي
+
+55
+00:04:11,180 --> 00:04:14,520
+هذه صحيح ولا لأ؟ فبصير عندي ال gossip تاني بيسوي
+
+56
+00:04:14,520 --> 00:04:17,980
+ال gossip التاني .. الأول بيسوي التاني ف V1
+
+57
+00:04:17,980 --> 00:04:22,340
+initial plus V1 final equal V2 final plus V2
+
+58
+00:04:22,340 --> 00:04:26,500
+initial و كيف صرت عندي معادلة جيدة تالتة مع
+
+59
+00:04:26,500 --> 00:04:30,580
+المعادلة الأولى بتعمل معهم بسهولةالمعاجلة التربعية
+
+60
+00:04:30,580 --> 00:04:34,680
+روحتها صار عندي معاجلتين خطيتين بتعامل معهم شغل
+
+61
+00:04:34,680 --> 00:04:39,680
+جبري مش أسهل منه زي ما أخدنا في المدارس معاجلتين
+
+62
+00:04:39,680 --> 00:04:43,780
+بمجهولين بحلهم هذه بس مجرد رتبت رجعت ال initial مع
+
+63
+00:04:43,780 --> 00:04:47,000
+ال initial و ال final مع ال final عشان أشغل معهم
+
+64
+00:04:47,000 --> 00:04:52,180
+from equation 3 هذه بس مجرد ملاحظة بيقولي في واحد
+
+65
+00:04:52,180 --> 00:04:55,300
+initial و في اتنين initial لو جيت طلعت عليها
+
+66
+00:04:55,300 --> 00:04:59,680
+هتلاقيها هي السرعة النسبية بين الجسمينالسرعة
+
+67
+00:04:59,680 --> 00:05:04,660
+النسبية بين الجسمين يعني لو أنا جيت قولت ان السرعة
+
+68
+00:05:04,660 --> 00:05:08,460
+النسبية بين الجسمين هي v1 initial نقص v2 initial
+
+69
+00:05:08,460 --> 00:05:16,000
+هنا انعكست هذه بالساوي سالب v1
+
+70
+00:05:16,000 --> 00:05:20,620
+final نقص v2 final صحيح ولا لأ؟ أخدت سالب عامل
+
+71
+00:05:20,620 --> 00:05:24,420
+مشتركيعني نفس السرعة، بس ليش ثالث؟ أه بالظبط
+
+72
+00:05:24,420 --> 00:05:29,680
+السرعة النسبية بينهم إن عكست بعد التصادم، كيف؟ لو
+
+73
+00:05:29,680 --> 00:05:31,500
+جيه تنين يبقوا تنين يبقوا تنين يبقوا تنين يبقوا
+
+74
+00:05:31,500 --> 00:05:32,200
+تنين يبقوا تنين يبقوا تنين يبقوا تنين يبقوا تنين
+
+75
+00:05:32,200 --> 00:05:34,400
+يبقوا تنين يبقوا تنين يبقوا تنين يبقوا تنين يبقوا
+
+76
+00:05:34,400 --> 00:05:35,100
+تنين يبقوا تنين يبقوا تنين يبقوا تنين يبقوا تنين
+
+77
+00:05:35,100 --> 00:05:39,100
+يبقوا تنين يبقوا تنين يبقوا تنين يبقوا تنين يبقوا
+
+78
+00:05:39,100 --> 00:05:49,440
+تنين يبقوا تنين يبقوا تنين يبقوا تن
+
+79
+00:05:50,360 --> 00:05:54,360
+تمام؟ هذه سرعة الأزرق بالنسبة للأحمر بعد إتصاده
+
+80
+00:05:54,360 --> 00:05:57,960
+بيصير الأزرق الأحمر بيبعد عنه فالسرعة النسبية هذه
+
+81
+00:05:57,960 --> 00:06:00,840
+مجرد مراحظات عليها بيقول from equation 3 we
+
+82
+00:06:00,840 --> 00:06:04,040
+conclude that the relative velocity السرعة النسبية
+
+83
+00:06:04,040 --> 00:06:07,360
+of the two particles before collision اللي هي V1
+
+84
+00:06:07,360 --> 00:06:10,520
+initial minus V2 initial equals the negative of
+
+85
+00:06:10,520 --> 00:06:13,220
+the relative velocity of the two particles after
+
+86
+00:06:13,220 --> 00:06:17,340
+collision اللي هي minus V1 initial .. V1 final
+
+87
+00:06:17,340 --> 00:06:24,740
+sorry- v2 final مجرد مراحظة بنعرفها يعني بس بنركز
+
+88
+00:06:24,740 --> 00:06:28,780
+عليها بيقول الان عندك معادلتين واحد و تلاتة بدل
+
+89
+00:06:28,780 --> 00:06:32,040
+واحد و اتنين صار عندك واحد و تلاتة واحد و تلاتة
+
+90
+00:06:32,040 --> 00:06:36,300
+معادلتين بمجهولين اطرح و اجمع و اشتغل عشان تطلع
+
+91
+00:06:36,300 --> 00:06:39,820
+عندك هال معادلتين هدول هدول احنا نفسنا نحفظهم
+
+92
+00:06:40,900 --> 00:06:44,640
+بنحفظهم، يعني السؤال اللي بنحله .. بنحله من الـ
+
+93
+00:06:44,640 --> 00:06:47,380
+Zero نكتب Conservation of Freedom Momentum، حط
+
+94
+00:06:47,380 --> 00:06:50,780
+معجلتها لأنه إذا محطت صح، بتاخدوا علامة، بتاخدوا
+
+95
+00:06:50,780 --> 00:06:54,720
+علامة كبيرةالـ Elastic بيحط معادلة Conservation of
+
+96
+00:06:54,720 --> 00:06:57,880
+Kinetic Energy برضه علامة .. معالمة كبيرة .. إيش
+
+97
+00:06:57,880 --> 00:07:02,240
+بيظل؟ شغل رياضيات عليه التافه من العلامات .. تمام؟
+
+98
+00:07:02,240 --> 00:07:06,300
+و احنا طبعا .. بنحاول في أسئلة الامتحان .. بنحط
+
+99
+00:07:06,300 --> 00:07:10,860
+السؤال اللي رياضياته خفيفة .. مش طويلة .. لا أربع
+
+100
+00:07:10,860 --> 00:07:13,200
+ولا أخد فرق منهم برابعين .. كل هذه الشغله دي ..
+
+101
+00:07:13,200 --> 00:07:17,020
+احنا بنحاول نسهلها .. تمام؟ و هتشوفوا أنتوا ..
+
+102
+00:07:17,020 --> 00:07:22,790
+أسئلة الكتاب أغلب صعوبتها صعوبة جبر الاعداديةأغلب
+
+103
+00:07:22,790 --> 00:07:26,550
+الصعوبة لأن البهينيانة تكتب معادلات ال
+
+104
+00:07:26,550 --> 00:07:32,190
+conservation صح بال signs تبع ال velocities مجبة
+
+105
+00:07:32,190 --> 00:07:36,490
+أو سالبة إذا كتبتها صح و في الآخر خربطتوا في الحال
+
+106
+00:07:36,490 --> 00:07:41,190
+الجبري مايخصمش عليكم علامات كتير و مرات بالمرة
+
+107
+00:07:41,190 --> 00:07:46,070
+مايخصمش حسب طبيعة السؤالبيقول لي هاي طلعت عنا، دي
+
+108
+00:07:46,070 --> 00:07:48,630
+واحد final طبعا دي كتير بيقولك لأ ده من انا احفظ
+
+109
+00:07:48,630 --> 00:07:50,470
+هدول، لأ احنا .. انا ما .. انا باطلبش ان انا
+
+110
+00:07:50,470 --> 00:07:53,790
+احفظها، ومش هاطلب مني ان احفظها، لأن كل سؤال إله
+
+111
+00:07:53,790 --> 00:07:57,370
+طبيعته وبنشتغل، بس احنا مدري اشرحها هادي، بيقول
+
+112
+00:07:57,370 --> 00:08:00,950
+let us consider few special cases concerning the
+
+113
+00:08:00,950 --> 00:08:03,530
+last two equations، ده اللي يجيبك دي واحد final
+
+114
+00:08:03,530 --> 00:08:07,680
+ودي اتنين finalأحنا اتفقنا إن المجاهيين هي V1
+
+115
+00:08:07,680 --> 00:08:11,720
+Final و V2 Final هاي V1 Final جبتها و V2 Final
+
+116
+00:08:11,720 --> 00:08:16,620
+جبتها في الأسئلة غالبا M1 و M2 و V1 Initial و V2
+
+117
+00:08:16,620 --> 00:08:21,460
+Initial أرقام بعوض عليهم وبطلع تمام؟ بس بدنا نيجي
+
+118
+00:08:21,460 --> 00:08:26,180
+نناقش بعض الحالات المشهورة جالي ال hub إنه التنتين
+
+119
+00:08:26,180 --> 00:08:31,190
+اللي بدهم استضموا إنهم نفس الكتابةجت بعيد يعني
+
+120
+00:08:31,190 --> 00:08:34,710
+يعني إيش معناته أم واحد و أم اتنين مالهم نكسر بيها
+
+121
+00:08:34,710 --> 00:08:37,970
+قال لي إيش بيصيل معاها قال لي يا نان شوف أم واحد
+
+122
+00:08:37,970 --> 00:08:43,850
+بيستوي أم اتنين ايه الصرفي هذه اتنين روحها إذا لو
+
+123
+00:08:43,850 --> 00:08:45,770
+أم واحد بيستوي أم اتنين قال لي هذه الله صحي الله
+
+124
+00:08:45,770 --> 00:08:53,180
+عليها و هذه بتروح تمام نرجعأم واحد و أم اتنين مش
+
+125
+00:08:53,180 --> 00:08:58,220
+بيساوي اتنين ام؟ و فوق اتنين ام؟ راحت واحد، اذا في
+
+126
+00:08:58,220 --> 00:09:02,160
+واحد final بيساوي في اتنين initial في واحد final
+
+127
+00:09:02,160 --> 00:09:05,100
+بيساوي في اتنين initial إذا لو كانت ام واحد بيساوي
+
+128
+00:09:05,100 --> 00:09:10,580
+ام اتنين إيش معناته؟ إنه التاني أخد صلعت الأول،
+
+129
+00:09:10,580 --> 00:09:14,600
+مظبوط أو لا؟ أخد صلعته، لأن في واحد final، ال
+
+130
+00:09:14,600 --> 00:09:19,800
+final أخد التاني القبل، أخد التانية، وهذا برضه هات
+
+131
+00:09:19,800 --> 00:09:25,450
+اتنينوهذا أخذ هذا فتبادل صراعاته كل واحد أخذ
+
+132
+00:09:25,450 --> 00:09:28,810
+صراعات التاني فهمتوا عليا كيف يعني؟ واحد ماشي
+
+133
+00:09:28,810 --> 00:09:32,370
+بخمسة والتاني ماشي بعشرة الأول خمسة والتاني عشرة
+
+134
+00:09:32,370 --> 00:09:37,370
+أصطدموا وهم جات بعض كتله الأول اللي هي الخمسة
+
+135
+00:09:37,370 --> 00:09:40,930
+أديها للتاني فصار التاني بعد التصادم خمسة والأول
+
+136
+00:09:40,930 --> 00:09:46,860
+بعد التصادم أخذه أخوه عشرة فبتبادلوا صراعاتهمبقول
+
+137
+00:09:46,860 --> 00:09:52,960
+if M1 equals M2 اللي توّع منها we obtain هذه سوّت
+
+138
+00:09:52,960 --> 00:09:56,880
+هذه لأن هذه روحت صارت one و هذه سافر and we can
+
+139
+00:09:56,880 --> 00:10:00,280
+find a بالثانوية و واحد initial that is if the two
+
+140
+00:10:00,280 --> 00:10:03,120
+masses are equal the particles exchange their
+
+141
+00:10:03,120 --> 00:10:05,740
+velocities و برضه مابناش نحفظهم مثلا فاهمين هذا
+
+142
+00:10:05,740 --> 00:10:09,380
+ولا لا مابناش نحفظ الشخصية بس مجرد هذه الشغلات
+
+143
+00:10:09,380 --> 00:10:13,240
+حلوة انه كيف يكون اتصادهم لو كانت بعض الحالات
+
+144
+00:10:13,240 --> 00:10:18,970
+الخاصةالحالة التانية بيقول يهب انك انت تصادم بين
+
+145
+00:10:18,970 --> 00:10:25,410
+بسكليات و مكتورة هجيت مينا مينا اتجلب مكتورة تتجلب
+
+146
+00:10:25,410 --> 00:10:27,070
+مكتورة تتجلب مكتورة تتجلب مكتورة تتجلب مكتورة
+
+147
+00:10:27,070 --> 00:10:27,090
+تتجلب مكتورة تتجلب مكتورة تتجلب مكتورة تتجلب
+
+148
+00:10:27,090 --> 00:10:27,250
+مكتورة تتجلب مكتورة تتجلب مكتورة تتجلب مكتورة
+
+149
+00:10:27,250 --> 00:10:28,150
+تتجلب مكتورة تتجلب مكتورة تتجلب مكتورة تتجلب
+
+150
+00:10:28,150 --> 00:10:31,670
+مكتورة تتجلب مكتورة تتجلب مكتورة تتجلب
+
+151
+00:10:42,060 --> 00:10:44,960
+والبسكلية كانت واقفة جدا فإن جهة المقتورة خبطته
+
+152
+00:10:44,960 --> 00:10:50,460
+فبسكلية كانت واقفة وخفيفة إذا كان M2 في الأسفل
+
+153
+00:10:50,460 --> 00:10:57,820
+كانت واقفة M2 يعني V2 initial صفر صح؟ V2 initial
+
+154
+00:10:57,820 --> 00:11:03,660
+بالساوية صفر و M2 بتاعت البسكلية كتير أصغر من M1
+
+155
+00:11:03,660 --> 00:11:09,690
+بسكلية المقتورة دعوني أرى ما يحدث معايانجي نعمل
+
+156
+00:11:09,690 --> 00:11:14,650
+هيك و نعمل هيك طبعا V2 initial zero هذا ال term
+
+157
+00:11:14,650 --> 00:11:19,910
+بديشية فحيح؟ و هذا ال term الله سهل عليه لأنه كان
+
+158
+00:11:19,910 --> 00:11:26,110
+واقف .. كان واقف Initially address بيقوللي مش عندك
+
+159
+00:11:26,110 --> 00:11:31,930
+أنت أم 2 is clear أخاف من أم 1؟ معناته هذا الغي
+
+160
+00:11:31,930 --> 00:11:39,090
+صارت أم 1و هذي .. ألغيها M1 على M1 إذا V1 final
+
+161
+00:11:39,090 --> 00:11:42,990
+بيستوي V1 initial معناته المقتورة صدر مطلوب
+
+162
+00:11:42,990 --> 00:11:46,110
+اسكليتو مبوتته ولا هي عارفة إيش إذا صار معها تظل
+
+163
+00:11:46,110 --> 00:11:49,750
+صورتها تغيرت؟ تظل زي ما هي .. منطق ولا مش منطق؟
+
+164
+00:11:49,750 --> 00:11:52,690
+شغلها منطقية و إذا بتحس بالاسكليتو تدركوا؟ و الله
+
+165
+00:11:52,690 --> 00:11:58,320
+.. ما بتحس فيه لكن لو مقتورة تانيةوبتحس فيها تمام
+
+166
+00:11:58,320 --> 00:12:03,060
+وبالتالي في واحد final هي نفسها في واحد initial
+
+167
+00:12:03,060 --> 00:12:08,300
+قبل التصارم وبعد التصادم لما اكترتش، ما اتأثرتش،
+
+168
+00:12:08,300 --> 00:12:12,080
+منطق، تشوف ايش بده يصيح البسكريت؟ بده يشوف في
+
+169
+00:12:12,080 --> 00:12:15,660
+اتنين final اصافرين، بيقولوا في اتنين final احنا
+
+170
+00:12:15,660 --> 00:12:22,520
+اتفقنا اما اتنين روحت2M على M سرعة البسكاليات طار
+
+171
+00:12:22,520 --> 00:12:28,360
+بضعف سرعة المكتورة بالضعف 2 فاهمين عليها؟ تمام
+
+172
+00:12:28,360 --> 00:12:33,580
+خليني أرى ما حصل تمام وبالتالي طبعا عايز بقولي
+
+173
+00:12:33,580 --> 00:12:37,100
+افهمتوا يا بناتي شي صح؟ انه أنا مجرد ان البسكاليات
+
+174
+00:12:37,100 --> 00:12:43,640
+كتلة لغيتها مقارنة بالمكتورة فبقولي if M2 is
+
+175
+00:12:43,640 --> 00:12:48,900
+initially at rest and is very light خفيفمقارنة مع
+
+176
+00:12:48,900 --> 00:12:53,720
+M1 نحصل على V1 أخير بسبب V1 أول ولا تأثرت المكتورة
+
+177
+00:12:53,720 --> 00:12:59,560
+و V2 أخير يقل 2V1 أولية و هذا عندما مجموعة كبيرة
+
+178
+00:12:59,560 --> 00:13:05,720
+مجتمعة مع مجموعة كبيرة بس كليه أولية يترسك
+
+179
+00:13:05,720 --> 00:13:10,640
+المجموعة كبيرة تستمر في محركتها و لا يعرف أي شيء
+
+180
+00:13:10,640 --> 00:13:17,480
+حصل معه تمام؟while the lighter particle moves with
+
+181
+00:13:17,480 --> 00:13:21,520
+a speed equal to twice بقس الـ initial speed of
+
+182
+00:13:21,520 --> 00:13:24,780
+the heavy particle برضه هذه ملاحظة ومفهومة وليس
+
+183
+00:13:24,780 --> 00:13:31,860
+شطارة. طيب الآن بنقول العكس اللي واجف المكتورة و
+
+184
+00:13:31,860 --> 00:13:38,160
+هي البسكليتعشان عشان شويه خبط في المكتورة تتحرك
+
+185
+00:13:38,160 --> 00:13:43,600
+المكتورة؟ لأ، قول بس كلمة، كيف بتصير فيه؟ أغلبها
+
+186
+00:13:43,600 --> 00:13:52,060
+مرضيها، بيقوللي if الان M12 اللي هي الجيلة، بدي
+
+187
+00:13:52,060 --> 00:13:57,320
+أجلبها if M2 is initially at rest و very heavy
+
+188
+00:13:57,320 --> 00:14:01,080
+يعني هذه خليها زي ما هي، بس الآن إيش بدي أعمل؟ هذه
+
+189
+00:14:01,080 --> 00:14:06,480
+أكبر كتير من M1تمام؟ طبعا بما أن Vt هذك دلّا ورايه
+
+190
+00:14:06,480 --> 00:14:10,980
+راحيل بس الآن اللي بدي أخليها هادي مش هادى صح؟
+
+191
+00:14:10,980 --> 00:14:16,240
+لأنه هادي صار خفيفة جدا صار M2 على M2 بس فيه سالب
+
+192
+00:14:16,240 --> 00:14:24,880
+فصارت البسكليت ارتد في سالب بينقص سرعتهصح ولا لأ؟
+
+193
+00:14:24,880 --> 00:14:31,180
+انعكس بنفس صلعته V1 final بيساوي سالب V1 initial
+
+194
+00:14:31,180 --> 00:14:34,460
+ساعتها البسكليك بيرتد بصراحة تساوي صلعته بس
+
+195
+00:14:34,460 --> 00:14:37,980
+بالاتجاه المعاكس نشوف إيش بده يصير في المكتورة
+
+196
+00:14:37,980 --> 00:14:46,600
+المكتورة بيقول لي نجها الغيلي عم واحدصحيح؟ أه ..
+
+197
+00:14:46,600 --> 00:14:50,120
+أم هو حاجة لغيها و أم هو حاجة لغيها فتتطلع اتنين
+
+198
+00:14:50,120 --> 00:14:53,740
+على أم اتنين و أم الاتنين كبيرة ولا مش كبيرة اتنين
+
+199
+00:14:53,740 --> 00:14:57,120
+حاجة علي حاجة كبيرة اشي علي اشي كبير صغير علي صغير
+
+200
+00:14:57,120 --> 00:15:01,200
+بتجرب للزفر مظبوط ولا لأ معناته في اتنين final
+
+201
+00:15:01,200 --> 00:15:09,870
+اكتير اقل من V1وبالتالي بتكون إذا ارتدت يده هو
+
+202
+00:15:09,870 --> 00:15:14,650
+بتكون هزة فهزة بسيطة تمام فبقول if M2 is initially
+
+203
+00:15:14,650 --> 00:15:19,810
+a crest and is very heavy compared with M1 we get
+
+204
+00:15:19,810 --> 00:15:23,210
+V1 final بستوي ثالث V1 initial البسكيليك بترتد
+
+205
+00:15:23,210 --> 00:15:26,960
+بسرعة نفس السرعة بس انتجها المعاكسثالث الذكيين
+
+206
+00:15:26,960 --> 00:15:30,580
+فينال أقل كتير من v1 initial بتقريب من ال zero
+
+207
+00:15:30,580 --> 00:15:34,940
+تتأثرش that is when a very light particle collides
+
+208
+00:15:34,940 --> 00:15:38,040
+with a very heavy particle initially at rest the
+
+209
+00:15:38,040 --> 00:15:40,600
+velocity of the light particle will be reversed
+
+210
+00:15:40,600 --> 00:15:44,520
+تنعكس after colliding while the heavy particle
+
+211
+00:15:44,520 --> 00:15:47,800
+will remain approximately at rest ولا بتأثر شغل
+
+212
+00:15:47,800 --> 00:15:51,220
+طبيعية ومنطقية في عيسى تفسر عليها؟طبعاً هذه من
+
+213
+00:15:51,220 --> 00:15:54,340
+المعادلات شرحناها و بناش لا نحفظ المعادلات ولا بنا
+
+214
+00:15:54,340 --> 00:15:59,480
+نحفظ الحالات يعني بناكش حفظ بس بتقدر تفهموها و
+
+215
+00:15:59,480 --> 00:16:04,380
+بتقدر تجيبوها نسألكم عليه تمام نشوف هذا المثال
+
+216
+00:16:04,380 --> 00:16:09,650
+البسيطتطبيق مباشر طبعاً هان ما جابش واحد أكبر من
+
+217
+00:16:09,650 --> 00:16:12,770
+التاني لا جاب مقتورة ولا جاب بس كالإيه بيقولي a
+
+218
+00:16:12,770 --> 00:16:16,090
+small particle of mass and one equal two kilogram
+
+219
+00:16:16,090 --> 00:16:20,950
+moving to the right هجيتها هدى سؤال أرقام يا بنات
+
+220
+00:16:21,280 --> 00:16:24,120
+moving to the right with the speed v1 initial
+
+221
+00:16:24,120 --> 00:16:28,040
+equals 12 meters per second collides elastically
+
+222
+00:16:28,040 --> 00:16:31,560
+إذا الـ elastic أو مش elastic بيكون مذكور في
+
+223
+00:16:31,560 --> 00:16:36,360
+السؤال إذا جالك elastic مايكون كاتب ماجالش elastic
+
+224
+00:16:36,360 --> 00:16:39,280
+ماحد يختلع يقول هذه elastic يقول أسهل بدي معاجلة
+
+225
+00:16:39,280 --> 00:16:42,860
+أخليها elastic و هو مش جاي ال elastic مينفعش إذا
+
+226
+00:16:42,860 --> 00:16:47,710
+كلمة elastic لازم تكون واضحة وضوح الشمسإنه الـ
+
+227
+00:16:47,710 --> 00:16:50,350
+Elastic عشان تكتبي إن الـ Carnatic Energy is
+
+228
+00:16:50,350 --> 00:16:52,790
+conserved ما جالجيش الـ Elastic هذه المعادلة
+
+229
+00:16:52,790 --> 00:16:55,450
+الممنع تكتبيها اللي هو Conservation of Carnatic
+
+230
+00:16:55,450 --> 00:17:00,250
+Energy لأن هذا الموضوع مافيه صعوبة بس نكون صحين و
+
+231
+00:17:00,250 --> 00:17:05,990
+احنا بنحل مش أكتر تمامإذاً هي الـ Elastically ..
+
+232
+00:17:05,990 --> 00:17:09,010
+الـ Elastically يعني بقى بقدر .. معادلة الـ
+
+233
+00:17:09,010 --> 00:17:12,610
+kinetic energy ولا لا؟ بقدر، تمام، with a block of
+
+234
+00:17:12,610 --> 00:17:14,970
+mass up to بساوية ستة كيلو جرام، بس تقريبا ستة
+
+235
+00:17:14,970 --> 00:17:18,190
+جرام مع بعض، مش واحد أدقل من الدنيا، moving to the
+
+236
+00:17:18,190 --> 00:17:21,630
+left، إذا واحد right وواحد left يا بناة، فهمتوا
+
+237
+00:17:21,630 --> 00:17:24,850
+عليا؟ وبالتالي إذا أخدتوا ال right هو الميجر، هذه
+
+238
+00:17:24,850 --> 00:17:30,200
+الستة هتكون سالبة، تمام؟بتثبيت V2 initial equal 8
+
+239
+00:17:30,200 --> 00:17:32,520
+meters per second find the velocities of the two
+
+240
+00:17:32,520 --> 00:17:35,400
+particles after collision كيف أنا بدي أحل؟ فلاتقوم
+
+241
+00:17:35,400 --> 00:17:38,000
+نحلي أنا، أنا محل بيمرتب كيف أنتوا بيكونوا حلوة
+
+242
+00:17:38,000 --> 00:17:41,680
+عشان تاخدوا العلامة؟ قطعا ال momentum is conserved
+
+243
+00:17:41,680 --> 00:17:45,100
+ولا لأ؟ ال momentum is conserved فانتوا بتقولوا
+
+244
+00:17:45,100 --> 00:17:50,540
+على طول وانتوا مغمضين M1 V1 initial plus M2 V2
+
+245
+00:17:50,540 --> 00:17:55,880
+initial equal M1 V1 final then M2 V2 final صح ولا
+
+246
+00:17:55,880 --> 00:18:02,700
+لأ؟بنشوف و نكمل قال لي انا واحد كده اتنين في
+
+247
+00:18:02,700 --> 00:18:06,560
+اتلعاش زائد
+
+248
+00:18:06,560 --> 00:18:16,660
+ستة في ثالث كمان يعني هذه مهمة بتساوي اتنين
+
+249
+00:18:16,660 --> 00:18:21,740
+في V واحد final زائد تماني ستة في V اتنين final
+
+250
+00:18:21,740 --> 00:18:27,430
+هذه معادلة هذه المعادلة مركزيةهذه المعادلة
+
+251
+00:18:27,430 --> 00:18:33,990
+المركزية تأخذ جزء من علامتها بعدها بقول since the
+
+252
+00:18:33,990 --> 00:18:40,130
+collagen is elastic لازم أكتبها since the collagen
+
+253
+00:18:40,130 --> 00:18:50,540
+is elasticimply that ½ M1 V1 initial square ½ M2
+
+254
+00:18:50,540 --> 00:18:56,200
+V2 initial square equal ½ M1 V1 final square plus
+
+255
+00:18:56,200 --> 00:19:02,640
+½ M2 V2 final square صحيح ولا لأ؟ بعد كده الاسلحة
+
+256
+00:19:02,640 --> 00:19:06,420
+روحهم او لا روحهم ايش؟ بيروحهم بعد ما اكتبهم صح بس
+
+257
+00:19:06,420 --> 00:19:10,060
+الأول بدأ اكتبهم بعدين روحهم مش واحد يقول لك لحظة
+
+258
+00:19:10,060 --> 00:19:15,020
+ما انت تطلع كانتك energy ام في تربيع صيد تمام؟و مش
+
+259
+00:19:15,020 --> 00:19:18,560
+خاصوني نضعهم بالعادية نرموا وحهم يعني نتغلبش
+
+260
+00:19:18,560 --> 00:19:24,400
+اتفقنا اتنين في اتناش تربيع زي ستة في تمانية تربيع
+
+261
+00:19:24,400 --> 00:19:27,780
+الناقص مالهوش دعوة هجيت الناقص مالهوش دعوة لأنه
+
+262
+00:19:27,780 --> 00:19:35,760
+scalar بتساوي اتنين في V واحد final تربيع زي ستة
+
+263
+00:19:35,760 --> 00:19:40,570
+في V اتنين final تربيع بقول هتاني معادلة خلاصهك
+
+264
+00:19:40,570 --> 00:19:44,850
+خلصت فيزيا .. هك خلصت فيزيا .. بعد كده شيخه
+
+265
+00:19:44,850 --> 00:19:47,450
+الرياضي يعني .. بعد كده شيخه الرياضي يعني .. و كل
+
+266
+00:19:47,450 --> 00:19:49,530
+واحد مش شطارة .. و كل واحد و طريقته .. و كل شيخه
+
+267
+00:19:49,530 --> 00:19:52,910
+اللي و طريقته في الحل الرياضي .. تمام؟ و بالتالي
+
+268
+00:19:52,910 --> 00:19:56,850
+بتتعامل .. احنا بالطريقة تبعتنا التقليدية اللي
+
+269
+00:19:56,850 --> 00:19:59,850
+عملناها .. بدي انا بس اعوض المحل المعادلات اللي
+
+270
+00:19:59,850 --> 00:20:02,590
+استخدمتهم .. لكن انا لو بدي احفظ انتحارك .. بدي
+
+271
+00:20:02,590 --> 00:20:05,850
+اكون حالي .. بديش احفظ المعادلات .. حفظ و اعود
+
+272
+00:20:05,850 --> 00:20:08,810
+عليهم .. لأ .. مش معنى ..مش مقبول يعني مش انه
+
+273
+00:20:08,810 --> 00:20:12,790
+والله انا زعلان عليكم وبديش ياكم تحفظوه ممنوع
+
+274
+00:20:12,790 --> 00:20:16,530
+تحفظه يعني واحد يحطلي المعادلة ويحطليها مابتطلعش
+
+275
+00:20:16,530 --> 00:20:21,650
+أحلو مابتطلعش مع أنه أسهلكم ماتحفظوش لكن واحد
+
+276
+00:20:21,650 --> 00:20:27,950
+بيقول لأ عنزة ولو طهرت لأ بدي أحفظ مش مقبول حتى لو
+
+277
+00:20:27,950 --> 00:20:33,610
+حفظ وحفظه مية بالمية ممنوع نحفظ تمام اذا في ذاك
+
+278
+00:20:33,610 --> 00:20:37,440
+الحالة نخلصو ممكن واحد ياخد تمانية من عشرة، هيك
+
+279
+00:20:37,440 --> 00:20:39,500
+يخبص نجمة، يخبص بعد كده، يجيب علامات، و ياخد
+
+280
+00:20:39,500 --> 00:20:43,040
+علامتين من عشرة، و هيكون في شغل كتير بعد هيك،
+
+281
+00:20:43,040 --> 00:20:47,680
+رياضياً طبعا الشغل، أما الفيزيا خلصت، وبالتالي جل
+
+282
+00:20:47,680 --> 00:20:51,000
+المطلوب من السؤال اللي جاء، أنا هنا طبعا عشان ..
+
+283
+00:20:51,000 --> 00:20:56,200
+عشانه مثال، جايب المعادلات اللي اتعمدت فيها، تمام؟
+
+284
+00:20:56,200 --> 00:21:05,020
+أعملته، أدهم،زي ما حكيت، زي ما تشايفين 24-48،
+
+285
+00:21:05,020 --> 00:21:08,520
+شايفين النخص كيف يجا؟ بتساوي هدول التنتين، فهذه
+
+286
+00:21:08,520 --> 00:21:14,340
+جاب معادلة و رتبها، الكل جيه نرتبهم، بقولي نعمل
+
+287
+00:21:14,340 --> 00:21:18,560
+معادلة واحد و اتنين، اشتغل، شغل الرياضيات، فطلعنا
+
+288
+00:21:18,560 --> 00:21:25,680
+بسهولة المعادلات تبعتنا فطلعت عندي one final
+
+289
+00:21:25,680 --> 00:21:27,920
+equals سالب تمانتاشر متر square
+
+290
+00:21:31,360 --> 00:21:35,240
+وين في واحد final .. اه ايها وفي اتنين final
+
+291
+00:21:35,240 --> 00:21:39,700
+طلعناها هذه اتنين وهذه سالف خمان عشر اذا انا لا
+
+292
+00:21:39,700 --> 00:21:44,760
+استخدمت معادلات ولا حاجة شغل رياضي بسيط جدا ربعت
+
+293
+00:21:44,760 --> 00:21:51,220
+وكان التربيه سهل وقولي لو بدك تحلم من المعادلة هذه
+
+294
+00:21:51,220 --> 00:21:54,320
+المعادلة اللي مانا بتحفظوها اللي انا مابقدر اشحتها
+
+295
+00:21:54,320 --> 00:22:00,640
+طبعا شحتناهاممنوعة؟ انت طويل و كنتي .. كده .. بديك
+
+296
+00:22:00,640 --> 00:22:03,620
+تقولني وين ممكن تشحعتيها؟ معاكي دفتر أو كتاب؟ في
+
+297
+00:22:03,620 --> 00:22:09,260
+الابتحان معاكي كتاب؟ ممنوعة؟ لو أبي أديتكيها صح و
+
+298
+00:22:09,260 --> 00:22:12,300
+أبي أخديها مني أديتكيها في السؤال يعني لكن انتي
+
+299
+00:22:12,300 --> 00:22:15,800
+ممنوعة تحفظيها .. ممنوعة تحفظيها لأن هذه المعادلات
+
+300
+00:22:15,800 --> 00:22:17,560
+يا بناتي .. احنا ليس ممكن نقول ممنوعة هذه
+
+301
+00:22:17,560 --> 00:22:20,060
+المعادلات من المستحيل أن الطالب يبقى محافظها للأبد
+
+302
+00:22:20,060 --> 00:22:24,080
+بدينا نحفظها عشان الامتحان؟ مابناشطبعا فيه شغلات
+
+303
+00:22:24,080 --> 00:22:27,820
+كتير بتحفظوها وبعد الانتحار بتطيط الله سهل عليها
+
+304
+00:22:27,820 --> 00:22:32,260
+لأ احنا راكنين على ان في بعض الشغلات بتبقى محفوظة
+
+305
+00:22:32,260 --> 00:22:35,320
+يعني هل جيت لكل فعل راجل فعل مسولة وفي المقدار
+
+306
+00:22:35,320 --> 00:22:39,180
+ومضرف واتجاه مضاله ملذق صح ولا لأ او يبقى الجسم
+
+307
+00:22:39,180 --> 00:22:42,580
+على حالته من السكونة وحركة مضاله ملذق شوية فهذه
+
+308
+00:22:42,580 --> 00:22:46,000
+الشغلات الأساسية تحت الفيزيا الميكانيكاأما الشغلات
+
+309
+00:22:46,000 --> 00:22:50,880
+الفرعية، بديش إياها، ماعن كان ذلك، تمام؟ الـ Free
+
+310
+00:22:50,880 --> 00:22:54,060
+Falling Bodies، والله تحت الجاذبية، أه الجاذبية،
+
+311
+00:22:54,060 --> 00:22:58,940
+يعني، بتدرها نزج في الموحي، لأ، غلط، والله أنا
+
+312
+00:22:58,940 --> 00:23:04,120
+بقولك، أنا بقولك، أنت توز و دمت صحية كتير انت، لأ،
+
+313
+00:23:04,120 --> 00:23:08,700
+فيها، فيها أنك انت بدك تعود مخك على البصل، وانا
+
+314
+00:23:08,700 --> 00:23:14,590
+بديش إيا غير تكونيممنوع عشان كده ماتطلعش على الحل
+
+315
+00:23:14,590 --> 00:23:20,270
+حتى و لو .. حتى و لو انت العلم متواكم و شغل بتعلم
+
+316
+00:23:20,270 --> 00:23:23,170
+.. طب رال عليك انا هي اللي بديها تقولي صعيب و
+
+317
+00:23:23,170 --> 00:23:27,530
+تستسلمي و تتحدث عن موظفي تمام .. بالتالي انا
+
+318
+00:23:27,530 --> 00:23:32,290
+اشتغلته فطلع نفسي الإجابة طبعا حلو .. كمان .. ايش
+
+319
+00:23:32,290 --> 00:23:38,070
+هذا؟ تكرار؟ طيب .. كمان مثال .. طلعوا على المثال
+
+320
+00:23:39,080 --> 00:23:42,700
+الحلو لكن طويل برضه بيقول الـ two pendulums
+
+321
+00:23:42,700 --> 00:23:46,920
+بندولين يا بنات البندول بتعرفوه؟ عملتوه في المعمل
+
+322
+00:23:46,920 --> 00:23:50,140
+البندول؟ طب الحمد لله البندول كلهم نعرف انت
+
+323
+00:23:50,140 --> 00:23:53,240
+هتعملوه بيقول ال two pendulums are initially
+
+324
+00:23:53,240 --> 00:23:56,580
+situated as shown بيقول في الأول هدول ال two
+
+325
+00:23:56,580 --> 00:24:01,600
+pendulums هيك كانوا أرسم الرسمةهذا واقف والثاني
+
+326
+00:24:01,600 --> 00:24:06,280
+واحد ماسكه وبقى مستنى بديه فلطف و بديه سفينه؟ بديه
+
+327
+00:24:06,280 --> 00:24:10,020
+جهاد؟ بديه سفن هذا؟ بديه مستضمه؟ طب هذي بتبقى
+
+328
+00:24:10,020 --> 00:24:15,880
+واقف؟ لأ، بتتحرك التاني، بيقولي two pendulums are
+
+329
+00:24:15,880 --> 00:24:18,740
+initially situated and shown، أي وضع حمل أولاني
+
+330
+00:24:18,740 --> 00:24:24,200
+طيب، the pendulum of M1 equal 50 kilogram and M2
+
+331
+00:24:24,200 --> 00:24:26,280
+kilogram is initially addressed؟ الحمر هي
+
+332
+00:24:26,280 --> 00:24:34,460
+addressed، ما تفهمينها؟ طبعابعد ما تنزل الزرقةأم 1
+
+333
+00:24:34,460 --> 00:24:39,760
+تتعامل مع تصادم مرن مع الحمرة تعمل تصادم مرن مع
+
+334
+00:24:39,760 --> 00:24:42,440
+الحمرة تعمل تصادم مرن مع الحمرة تعمل تصادم مرن مع
+
+335
+00:24:42,440 --> 00:24:43,700
+الحمرة تعمل تصادم مرن مع الحمرة تعمل تصادم مرن مع
+
+336
+00:24:43,700 --> 00:24:46,040
+الحمرة تعمل تصادم مرن مع الحمرة تعمل تصادم مرن مع
+
+337
+00:24:46,040 --> 00:24:48,680
+الحمرة تعمل تصادم مرن مع الحمرة تعمل تصادم مرن مع
+
+338
+00:24:48,680 --> 00:24:52,820
+الحمرة تعمل تصادم مرن مع الحمرة تعمل تصادم مرن مع
+
+339
+00:24:52,820 --> 00:24:54,380
+الحمرة تعمل تصادم مرن مع الحمرة تعمل تصادم مرن مع
+
+340
+00:24:54,380 --> 00:25:00,690
+الحمرة تعمل تصادم مرن مع الحمرة تعمل تصادم مto
+
+341
+00:25:00,690 --> 00:25:03,250
+what heights does the two balls swing after
+
+342
+00:25:03,250 --> 00:25:06,510
+collision؟ بعد ما يصدم كل واحد يدرحله على شجة هذا
+
+343
+00:25:06,510 --> 00:25:10,930
+كم ارتفاع حد أقصى وهذا كم ارتفاع حد أقصى دعنا نشوف
+
+344
+00:25:10,930 --> 00:25:18,490
+واحدة واحدة طبعا هذه كلها المعطيات موجودة المهم أن
+
+345
+00:25:18,490 --> 00:25:24,050
+هذاCollagen و الـ Collagen ال momentum مالها
+
+346
+00:25:24,050 --> 00:25:28,830
+محفوظة دائما صح ولا لا الواحد دائما .. شوفوا في ال
+
+347
+00:25:28,830 --> 00:25:32,210
+collagen أول معادلة تكتبوها هي ال conservation of
+
+348
+00:25:32,210 --> 00:25:35,890
+linear momentum لأن هذه ال collagen ال elastic أو
+
+349
+00:25:35,890 --> 00:25:41,190
+inelastic موجودة فأنا على طول بقول M1 V1 initial
+
+350
+00:25:41,190 --> 00:25:48,590
+M2 V2 initial equal M1 V1 final then M2 V2 final
+
+351
+00:25:48,590 --> 00:25:54,180
+سؤال الآن لكمهل بفرق طالب عن طالب و سؤال عن سؤال؟
+
+352
+00:25:54,180 --> 00:25:57,660
+انه ايه اكمل؟ اقول جربت العشرة من العشرة؟ ولا
+
+353
+00:25:57,660 --> 00:26:03,520
+Zero؟ بعدى بقول .. هذه كدهش؟ مجهولة .. هل هي السفر
+
+354
+00:26:03,520 --> 00:26:07,380
+اللى ها؟ لأ .. هي جزر اثنين .. انه هى اللى بقولى
+
+355
+00:26:07,380 --> 00:26:11,340
+من هنا وقفت لكن هل هذه هنا صارت تصادم؟ لا ..
+
+356
+00:26:11,340 --> 00:26:16,200
+التصادم هنا صارت .. معناته انا بدي سوعة زرقهقبل
+
+357
+00:26:16,200 --> 00:26:22,460
+اقتصاده مباشرة .. لكن هذه كم؟ هذه سفر اه ..
+
+358
+00:26:22,460 --> 00:26:25,300
+وبالتالي يجي على حاجة .. كيف الأشخاص يقولوا سفر زي
+
+359
+00:26:25,300 --> 00:26:29,000
+سفر؟ وطبعا ورت في الآخر .. لأنه عادي لا تظبطش ..
+
+360
+00:26:29,000 --> 00:26:32,000
+سفر زي سفر ماضالش إش عنده .. طبعا في الآخر عشان
+
+361
+00:26:32,000 --> 00:26:35,720
+حاطه سفرين وورت مضله يظبط في ورطته عشان تظبط
+
+362
+00:26:35,720 --> 00:26:39,060
+الامور الورطة الكبيرة الأولاني .. فببدأ يخبص كتير
+
+363
+00:26:39,060 --> 00:26:43,590
+..بصي بيخترع عشان تظبط معاه، أما إذا بدأ من أول
+
+364
+00:26:43,590 --> 00:26:47,950
+صح، الأمور و لا سطر و لا سطر مابمشي معاه، بالكورة،
+
+365
+00:26:47,950 --> 00:26:52,270
+أنتوا عارفين، يعني الشغلة المكتوب بيناعرف من أيش،
+
+366
+00:26:52,270 --> 00:26:55,850
+من أنواعنا، و نخلص السؤال صح ولا غلط، من أول سطر
+
+367
+00:26:55,850 --> 00:27:01,640
+بيبين، انه خلاص مابمشي معاك الأمورأول حاجة أريدها
+
+368
+00:27:01,640 --> 00:27:07,280
+هي سرعة الزرقاء قبل اقتصادهم مباشرة كيف أجيبها؟ من
+
+369
+00:27:07,280 --> 00:27:10,420
+ال conservation of energy أنا بجيب ال conservation
+
+370
+00:27:10,420 --> 00:27:15,160
+of energy بقدر أجيب سرعة الأمواح قبل اقتصادهم
+
+371
+00:27:15,160 --> 00:27:19,340
+مباشرةبيقولي to find the speed of M1 before
+
+372
+00:27:19,340 --> 00:27:23,120
+collagen عشان تجيبها كتب المعاجلة و جالبها حاشي
+
+373
+00:27:23,120 --> 00:27:26,700
+مجهول زي ما جالب زميلتكم بديها بيقولي we use the
+
+374
+00:27:26,700 --> 00:27:29,880
+conservation of energy principle بدي اطبق ال
+
+375
+00:27:29,880 --> 00:27:33,900
+conservation of energy بس للparticle أزاق U
+
+376
+00:27:33,900 --> 00:27:43,300
+initial MGH صح؟ K initial0 You final وصل عند
+
+377
+00:27:43,300 --> 00:27:49,000
+الحمرة 0 و K final اللي بدّيها اللي بدّيه السرعة
+
+378
+00:27:49,000 --> 00:27:52,940
+اللي هتعتبر initial بالنسبة لاتصادهم صح ولا لأ
+
+379
+00:27:52,940 --> 00:27:58,200
+فجالي هاد هى MGH بسوا نص M واحد في واحد initial
+
+380
+00:27:58,200 --> 00:28:03,380
+تربيع طبعا هو هاد final للحركة بس initial لاتصادهم
+
+381
+00:28:03,380 --> 00:28:09,410
+تمام؟ بل هاد اللي بيقول من غلبك طلعناهاإيه بدك إيه
+
+382
+00:28:09,410 --> 00:28:13,990
+عملي؟ بصيبك كيف؟ بكتب V بيساوي 2 من وين هدا؟
+
+383
+00:28:13,990 --> 00:28:17,950
+بحطولي خلاص، بقولك from where؟ من وين جبتيها؟
+
+384
+00:28:17,950 --> 00:28:25,270
+بصمها؟ هي هي! طيب، بتكتبي من وين جبتيها؟ أنا عارف،
+
+385
+00:28:25,270 --> 00:28:28,970
+انا بتوجيهي بيجبلوا منكم البصم، احنا نجبلك من
+
+386
+00:28:28,970 --> 00:28:32,910
+البصم، وعودوكم على البصم، و تمام تمام، وما بيسجوا
+
+387
+00:28:32,910 --> 00:28:36,390
+يلاجوها يقولوا إيش صح، احنا بدنا الصح أصلا، بدنا
+
+388
+00:28:36,390 --> 00:28:39,370
+حاجة، اتنين، إيه ده مش مشكلة؟لأ مش مجبورة مني
+
+389
+00:28:39,370 --> 00:28:51,290
+بيجيبوها
+
+390
+00:28:51,290 --> 00:28:54,470
+من قانون صح .. من قانون صح
+
+391
+00:28:57,080 --> 00:28:59,740
+بقولي note that في one initial هذي الكلام بس عشان
+
+392
+00:28:59,740 --> 00:29:03,920
+يذكر .. كلمتين بس أذكرهم بيقولي note that في واحد
+
+393
+00:29:03,920 --> 00:29:07,520
+initial is horizontal بيقولي لما يصل هان يا بنات
+
+394
+00:29:07,520 --> 00:29:11,560
+بيكون هو مش هيك وبالتالي السرعة هنا هتكون
+
+395
+00:29:11,560 --> 00:29:19,000
+horizontalأفقية تمام دست
+
+396
+00:29:19,000 --> 00:29:22,080
+بايت the motion of M1 throw the two-dimensional
+
+397
+00:29:22,080 --> 00:29:24,920
+arc before reaching M2 بيقول بره رغم أن الحركة
+
+398
+00:29:24,920 --> 00:29:27,920
+اللي تدا متشاير two-dimensional بس هنا بصية one
+
+399
+00:29:27,920 --> 00:29:32,220
+-dimensional طيببالتالي الكوليجين واحد مصطلح ..
+
+400
+00:29:32,220 --> 00:29:35,660
+الكوليجين واحد مصطلح .. لأن الكوليجين صار في
+
+401
+00:29:35,660 --> 00:29:39,860
+المنطقة هذه بس .. وصار هيك تصادم .. و بعدين بيصير
+
+402
+00:29:39,860 --> 00:29:43,400
+اتوا مصطلح .. و قبلها بيكون اتوا مصطلح .. طيب ..
+
+403
+00:29:43,400 --> 00:29:45,980
+بالتالي الكوليجين واحد مصطلح .. و لا يوجد طاقة
+
+404
+00:29:45,980 --> 00:29:49,720
+اجتماعية عزيزي تعمل على الانتصافات .. لأن واحد
+
+405
+00:29:49,720 --> 00:29:53,800
+بيقول طب مش فيه شد .. و فيه NG .. بقوله شد و ال NG
+
+406
+00:29:53,800 --> 00:29:57,140
+عند هذا النقطة Vertical .. مش عزيزي .. وبالتالي
+
+407
+00:29:57,140 --> 00:30:00,430
+انا ال momentum الصيني هو ال concert ..المهم أن
+
+408
+00:30:00,430 --> 00:30:03,590
+تنسيني هو الـ Concert تمام؟ to find the velocities
+
+409
+00:30:03,590 --> 00:30:06,490
+of the two balls immediately after collision الآن
+
+410
+00:30:06,490 --> 00:30:09,610
+اشتغل على الـ collision صارت عندك موجودة طبعا أنا
+
+411
+00:30:09,610 --> 00:30:13,410
+جيبت المعادلات عشان أسهل لكم فقولت في واحد final
+
+412
+00:30:13,410 --> 00:30:19,350
+بالساوي هاي معادلتي و في اتنين .. اتنين طبعا عوضر
+
+413
+00:30:19,350 --> 00:30:24,590
+فطلعت .. كيف؟ لأ اصلا انا جيت اللي بطلع اللي بطلع
+
+414
+00:30:24,590 --> 00:30:28,900
+الكيشأنا ساحاتها أما أنت ممكن تلصق فيها أنا ممكن
+
+415
+00:30:28,900 --> 00:30:32,920
+أرفعها المثال السابق أنا عملتها مرتين عملتها بدون
+
+416
+00:30:32,920 --> 00:30:37,060
+حفظ و عملتها بحفظ عشان مانديش أضيع وقتى أما أنت
+
+417
+00:30:37,060 --> 00:30:41,160
+بيكون مديكي وقتك ضيعي أنا ماعيش وقتك يعني في
+
+418
+00:30:41,160 --> 00:30:46,840
+الامتحان بيكون مديكي وقتك ده ماعش بيتن فينات
+
+419
+00:30:46,840 --> 00:30:50,970
+ساحاتنا المعادلة أعوضنا عنها و طلعناهافصارت
+
+420
+00:30:50,970 --> 00:30:55,010
+الصروعات بعد التصادم يا بنات جيبكم إذا المطلوب
+
+421
+00:30:55,010 --> 00:30:58,750
+الأول خلص في واحد final و في اتنين final طلعوا
+
+422
+00:30:58,750 --> 00:31:02,930
+معايا الآن بيقوللي إيه قد صير فيهم هدول؟ صاروا هيك
+
+423
+00:31:02,930 --> 00:31:09,170
+تمام؟ جداش كل واحد بعد ما اصصموا صاروا هيك؟
+
+424
+00:31:09,170 --> 00:31:13,130
+بإرتفاعاتهم كيف يدلي بإرتفاعات؟ بال conservation
+
+425
+00:31:13,130 --> 00:31:17,250
+of energy بال conservation of energy طب على ما
+
+426
+00:31:17,250 --> 00:31:21,080
+يقولي أوجد أقصى يارجفاعة، جداش الصروعة بيكون؟إذا
+
+427
+00:31:21,080 --> 00:31:25,720
+الـ K final في الحلقين صفر صح ولا لأ؟ K final صفر
+
+428
+00:31:25,720 --> 00:31:29,540
+و U final هو اللي بدوا إياها لأن U final بتسوي MGH
+
+429
+00:31:29,540 --> 00:31:33,360
+يعني هذه السؤال مركبة، تلت أسئلة سؤال قبل التصادم،
+
+430
+00:31:33,360 --> 00:31:37,400
+سؤال، سؤال تصادم، سؤال، و سؤال بعد التصادم،
+
+431
+00:31:37,400 --> 00:31:42,360
+سؤالين، أنا بدي اسمين، تمام، فبيقوللي، بالظبط
+
+432
+00:31:42,960 --> 00:31:46,560
+بالظبط طاقة الحركة تتحول لطاقة وضع أجيبلي إياها
+
+433
+00:31:46,560 --> 00:31:50,140
+بتشتري بيقول now applying the conservation of
+
+434
+00:31:50,140 --> 00:31:55,280
+energy principle for M1 بدأ بالعزراج في العزراج K
+
+435
+00:31:55,280 --> 00:31:59,480
+initial معروفة لأن بعض اقتصاده كله رعى U initial
+
+436
+00:31:59,480 --> 00:32:04,440
+صفر K final صفر U final MGH اللي بدي إياها فده
+
+437
+00:32:04,440 --> 00:32:09,520
+اللي يشتغل على هذه الأساس فطلعت نص M1 ب one final
+
+438
+00:32:09,520 --> 00:32:16,430
+تربيع equal كذا وبنجيبH1 طلعنا وجينا ان H1 بتساوي
+
+439
+00:32:16,430 --> 00:32:24,390
+ربع متر 25 cm for M2 بيقولي نفس المقدار بيكون عندك
+
+440
+00:32:24,390 --> 00:32:28,070
+كيك بس الكائنة ال energy بتاعة M2 بعد التصادم
+
+441
+00:32:28,070 --> 00:32:33,070
+تحولت ل potential energy ل potential energy جيب H2
+
+442
+00:32:33,070 --> 00:32:39,790
+طلعت 1.1 متر فالحمره طلعت اكتر من الزرقه طبعا لان
+
+443
+00:32:41,180 --> 00:32:44,800
+كان ثابتة وبعدين متهيألة أموان أدجل أصلا وبالتالي
+
+444
+00:32:44,800 --> 00:32:48,640
+اتعاملنا معاهم بهذا الشيء تقصد صراحة السؤال هذا؟
+
+445
+00:32:48,640 --> 00:32:52,520
+سؤال طويل مش أكتر وإحنا لو بنجيبه لانتحار بنجسمه
+
+446
+00:32:52,520 --> 00:32:56,940
+بنشرب الحكومية بنبسطه يعني عشان طول السؤال لأن في
+
+447
+00:32:56,940 --> 00:32:59,820
+الآخر ما أنتوا شوفته احنا ماتتركش فراغ كبير للسؤال
+
+448
+00:32:59,820 --> 00:33:03,880
+صح؟ وبالتالي إيش معناته؟ لأ ما هو هذا بيكفل بزيه
+
+449
+00:33:04,480 --> 00:33:07,900
+أنا اتطلعت على الفراغات و قولت إيش هسوي فيها؟ بس
+
+450
+00:33:07,900 --> 00:33:11,740
+الورقة، بدك سيم الورقة، خليها B5، مش عادة، قولت
+
+451
+00:33:11,740 --> 00:33:14,080
+يلّا خلّيه يتبحبع و اللي يخطو عفش و اللي يخطو حلو
+
+452
+00:33:14,080 --> 00:33:17,160
+و اللي بده يبحي و اللي بده يشطن، المفروض يكون فيه
+
+453
+00:33:17,160 --> 00:33:21,960
+فراغ يكفي حتى للشغلات هذه المرة الجاية، بدنا نشوف
+
+454
+00:33:22,650 --> 00:33:28,830
+الأسئلة الأسهل من الناحية الرياضية الجبرية اللي هو
+
+455
+00:33:28,830 --> 00:33:32,190
+inelastic collagen بتكون في الـ inelastic collagen
+
+456
+00:33:32,190 --> 00:33:35,530
+معادلات رياضية عبسطة بنعملها المرة الجاية ان شاء
+
+457
+00:33:35,530 --> 00:33:35,690
+الله
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/U4znhn-6cvI.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/U4znhn-6cvI.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ead052c7f145de9c9687e29a90c7254940ee1fe0
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/U4znhn-6cvI.srt
@@ -0,0 +1,1630 @@
+1
+00:00:20,860 --> 00:00:26,800
+تمام، إذا أهم حركة في الـ Oscillatory System هي
+
+2
+00:00:26,800 --> 00:00:30,060
+الـ Simple Harmonic Motion الحركة التوافقية
+
+3
+00:00:30,060 --> 00:00:33,260
+البسيطة طبعا الـ Oscillatory Motions أو الحركات
+
+4
+00:00:33,260 --> 00:00:36,620
+التي تندرج فيها كثيرة في منها بيخلص و في منها
+
+5
+00:00:36,620 --> 00:00:40,780
+بيخلصش بمرة بيضلوا يروحوا وييجوا إلى الأبد هذه هي
+
+6
+00:00:40,780 --> 00:00:44,000
+الـ Simple Harmonic Motion إذا الـ Simple Harmonic
+
+7
+00:00:44,000 --> 00:00:48,650
+Motion is the motion that repeats itself in a
+
+8
+00:00:48,650 --> 00:00:53,110
+particular way بدالها تكرر نفسها بصورة أو بأخرى
+
+9
+00:00:53,110 --> 00:00:56,950
+واخدنا أمثلة البندول البسيط واخدنا مثال الجسم
+
+10
+00:00:56,950 --> 00:01:03,510
+المربوط بالزنبرك مظبوط ولا لأ؟ تمام عشان نقدر نصف
+
+11
+00:01:03,510 --> 00:01:10,470
+هكذا حركة لابد من function رياضية تكرر بصورة لا
+
+12
+00:01:10,470 --> 00:01:13,910
+نهائية ما لجنا إلا الـ function الـ sine أو الـ
+
+13
+00:01:13,910 --> 00:01:16,670
+cosine واللي بيفرق بين الـ sine و الـ cosine هو
+
+14
+00:01:16,670 --> 00:01:21,450
+بداية الحركة وبالتالي صرنا بنقدر نحكي من هذا
+
+15
+00:01:21,450 --> 00:01:26,750
+التعريف إنه إذا الحركة simple harmonic motion إذا
+
+16
+00:01:26,750 --> 00:01:32,140
+قطعا X تبعتها تقطع بهذه الصيغة X بتساوي ايه؟
+
+17
+00:01:32,140 --> 00:01:37,580
+كـCos ωT زائد δ لأن الـCos لما بدي
+
+18
+00:01:37,580 --> 00:01:43,460
+أجي أرسمها بتخلصش بتكرر نفسها إلى ما لا نهاية إذا
+
+19
+00:01:43,460 --> 00:01:49,970
+معناته المعادلة اللي بتوصف أي حركة توافقية بسيطة
+
+20
+00:01:49,970 --> 00:01:56,230
+لابد أن تكون بصيغة X بتساوي ايه؟ Cos ω
+
+21
+00:01:56,230 --> 00:01:59,870
+T زائد δ الشيء ايه؟ الشيء ω الشيء
+
+22
+00:01:59,870 --> 00:02:05,110
+δ؟ بدنا نحكي عنها من المعادلة واضح أكبر قيمة
+
+23
+00:02:05,110 --> 00:02:11,290
+للـCos .. كده ايه؟ واحد إذا أكبر قيمة للـX ايه؟
+
+24
+00:02:11,290 --> 00:02:15,480
+إذا ايه هي الـAmplitude حسب التعريف؟ إذاً A هي الـ
+
+25
+00:02:15,480 --> 00:02:21,460
+Amplitude نتطلع برضه للوحدات نقول إن هذه متر و هذه
+
+26
+00:02:21,460 --> 00:02:26,160
+متر إذا المفروض كل اللي جنب الـ A مايكونش له وحدة
+
+27
+00:02:26,160 --> 00:02:32,100
+عشان تضل متر بتساوي متر بما إنه هذه بدون وحدات و
+
+28
+00:02:32,100 --> 00:02:35,520
+هذه second إذا الـ ω لازم تضيع لل second إذا
+
+29
+00:02:35,520 --> 00:02:38,620
+لازم تكون 1/second مازال 1/second إذا هي
+
+30
+00:02:38,620 --> 00:02:43,100
+frequency قطعًا إذاً هي frequency قطعًا إذاً ω
+
+31
+00:02:43,100 --> 00:02:46,500
+هي الشيء جلي الـ frequency هي الشيء جلي الـ
+
+32
+00:02:46,500 --> 00:02:50,280
+amplitude δ جلي هذه هي اللي بتحدد من وين بدأت
+
+33
+00:02:50,280 --> 00:02:55,480
+الحركة بسموها ال phase constant بداية الحركة إذاً
+
+34
+00:02:55,480 --> 00:03:01,360
+معناته هدول ال constants A is the amplitude of the
+
+35
+00:03:01,360 --> 00:03:06,700
+motion ω is the angular frequency تمام؟ And
+
+36
+00:03:06,700 --> 00:03:09,940
+δ is the phase constant of the motion الـ
+
+37
+00:03:09,940 --> 00:03:12,780
+Angular frequency والـ frequency العادي اللي أخدته
+
+38
+00:03:12,780 --> 00:03:18,700
+في المدرسة بيشاركوا مع بعض بعلاقة ω هي radian
+
+39
+00:03:18,700 --> 00:03:23,870
+per second التردد دورة لكل ثانية Revolution per
+
+40
+00:03:23,870 --> 00:03:27,310
+second كيف بنجيب العلاقة؟ بنقول الـRevolution كم
+
+41
+00:03:27,310 --> 00:03:32,730
+راديان 2π إذا معناته ω بتساوي 2π في الـ
+
+42
+00:03:32,730 --> 00:03:38,910
+frequency اللي هو يقاس بالدورة لكل ثانية حلو هذه
+
+43
+00:03:38,910 --> 00:03:44,770
+هي الرسمة اللي بتصف الحركة التوافقية البسيطة وهذه
+
+44
+00:03:44,770 --> 00:03:48,450
+رسمة الـ cosine هذه رسمة الـ cosine هذه عند هذه
+
+45
+00:03:48,450 --> 00:03:51,810
+النقطة بيكون maximum بيضل يقل بعود بيرجع هذه
+
+46
+00:03:51,810 --> 00:03:56,170
+التكرار بيضل يكرر نفسه إذا كان هنا هذه X يا بنات
+
+47
+00:03:56,170 --> 00:03:59,830
+شوفوا أنتو هذه X ايش يعني موضوع الجسم كم مرة
+
+48
+00:03:59,830 --> 00:04:04,260
+بيرجع الجسم على موضعه عدة مرات بيضل يروح ويجي وهنا
+
+49
+00:04:04,260 --> 00:04:08,380
+إذن هو بيتنقل ما بين هنا وهنا لو نيجي نتطلع على
+
+50
+00:04:08,380 --> 00:04:12,180
+البندول اللي أخدناه في المعمل بدأ من هنا وراح ورجع
+
+51
+00:04:12,180 --> 00:04:16,080
+راح ورجع إذن بيضلوا يتنقل ما بين نقطتين هنا وهنا
+
+52
+00:04:16,080 --> 00:04:20,540
+هدول النقطتين هيهم هنا وهنا بيضلوا رايح جاي عليهم
+
+53
+00:04:20,540 --> 00:04:25,360
+مع الزمن إذن أقصد نفترض إن هدول تلاتة متر إذا بصلت
+
+54
+00:04:25,360 --> 00:04:27,560
+تلاتة متر وسلب تلاتة متر تلاتة متر وسلب تلاتة
+
+55
+00:04:27,560 --> 00:04:31,260
+متر على الشجهة دي وعلى الشجهة دي إذا هذه رايح جاي ما
+
+56
+00:04:31,260 --> 00:04:33,940
+بين التلاتة والسلب تلاتة وهذه هي الحركة
+
+57
+00:04:33,940 --> 00:04:36,880
+التوافقية البسيطة زي الـZombarak نرجع للـZombarak
+
+58
+00:04:36,880 --> 00:04:40,320
+سحبته تلاتة .. خلنا نقول .. بسحبوش تلاتة متر سحبته
+
+59
+00:04:40,320 --> 00:04:44,770
+عشرة سم تمام وفلته بصير سالب عشرة بعض
+
+60
+00:04:44,770 --> 00:04:48,810
+وبرجع عشرة سالب عشرة إذا بيضلوا ينتقل ما بين
+
+61
+00:04:48,810 --> 00:04:52,810
+هدول ال two positions بصورة لانهائية كيف بدي
+
+62
+00:04:52,810 --> 00:04:56,650
+أوصفه؟ بأوصفه بهذا الشكل و .. والمعادلة أفهمناها
+
+63
+00:04:56,650 --> 00:05:03,310
+تمام عرفنا X إذا احنا ثبتنا الآن X بتساوي ايه؟
+
+64
+00:05:03,310 --> 00:05:10,840
+Cos ωT زائد δ تمام هذه X لأي simple
+
+65
+00:05:10,840 --> 00:05:14,740
+harmonic motion بدي أجيب السرعة قال لي اللي أخدته
+
+66
+00:05:14,740 --> 00:05:19,460
+في سبتر 2 ما زال سار المفعول ايش أخدت؟ قال لي
+
+67
+00:05:19,460 --> 00:05:26,110
+إن ال velocity is the derivative of X فاضل نشتق بيقول
+
+68
+00:05:26,110 --> 00:05:32,470
+ليه V بتساوي تفاضل الـ Cos سالب Sin التفاضل
+
+69
+00:05:32,470 --> 00:05:36,870
+الداخلي ωT زائد δ فاضلها بتطلع ω إذا
+
+70
+00:05:36,870 --> 00:05:43,070
+ناقص ايه ω؟ Sin ωT هذه هي السرعة طبعا من
+
+71
+00:05:43,070 --> 00:05:46,770
+هذه العلاقة بقدر أجيب ال maximum velocity A اللي
+
+72
+00:05:46,770 --> 00:05:52,230
+جانب الـSin A في ω إذا هي A في ω إذا الـ
+
+73
+00:05:52,230 --> 00:05:57,350
+maximum speed from the last equation V maximum
+
+74
+00:05:57,350 --> 00:06:02,130
+plus or minus هذه الـ direction أما هي الـ speed الـ
+
+75
+00:06:02,130 --> 00:06:05,510
+magnitude يعني لو بدي أقول هذه هيك معناته بقول
+
+76
+00:06:05,510 --> 00:06:12,780
+ω في A وواضح الـA قد ايش وحدتها؟ متر والـω
+
+77
+00:06:12,780 --> 00:06:18,140
+إذا متر على ثانية صحيح هذه سرعة قطعة تمام بدي الـ
+
+78
+00:06:18,140 --> 00:06:22,640
+acceleration اشتغل السرعة نشتغل الـSin اللي صارت
+
+79
+00:06:22,640 --> 00:06:27,500
+Cos اذا رجعت Cos تمام إذا from the last
+
+80
+00:06:27,500 --> 00:06:31,940
+equation differentiating the last equation again
+
+81
+00:06:31,940 --> 00:06:38,140
+with respect to T فاضلها تفاضل الـSin رجع Cos وفاضل
+
+82
+00:06:38,140 --> 00:06:42,620
+الداخل الـCos جاء كمان ω وفيه من أول ω صارت
+
+83
+00:06:42,620 --> 00:06:47,320
+ω تربيع إذا ان ω تربيع في A Cos ωT
+
+84
+00:06:47,320 --> 00:06:52,040
+ايش أكبر قيمة للـA؟ هذا المقدار ω تربيع في
+
+85
+00:06:52,040 --> 00:07:00,010
+الـA تمام؟ وبرضه هذا بقدر أقول عنه X إذاً برضه ايه
+
+86
+00:07:00,010 --> 00:07:06,140
+بكتبها ناقص ω تربيع في X إذا هذه X إذا بقدر
+
+87
+00:07:06,140 --> 00:07:10,240
+أقول A بيساوي ناقص ω تربيع في X أكبر قيمة للـ
+
+88
+00:07:10,240 --> 00:07:14,920
+A تحصل لما تكون X أكبر قيمة لها قد ايش أكبر قيمة للـ
+
+89
+00:07:14,920 --> 00:07:19,580
+X؟ A إذا برضه A maximum بيساوي ω تربيع في الـ
+
+90
+00:07:19,580 --> 00:07:24,920
+A زي ما احنا متفقين من أول وحكينا لو جيت بدي أرسم
+
+91
+00:07:24,920 --> 00:07:32,160
+التلات رسمات تبعت الإزاحة X وتبعت السرعة وتبعت
+
+92
+00:07:32,160 --> 00:07:38,750
+التسارع هذه انتبهوا ايه Cos وهذه رجعت Cos بس
+
+93
+00:07:38,750 --> 00:07:44,310
+في فارق بينهم السالب وهذه Sin ايش بتفرج الـSin
+
+94
+00:07:44,310 --> 00:07:49,070
+على الـCos في 90 درجة فارق تمام؟ دائماً Sin
+
+95
+00:07:49,070 --> 00:07:52,810
+الزاوية بتساوي الـCos المتمم لها، هذه معلومة
+
+96
+00:07:52,810 --> 00:07:58,610
+بنعرفها، من هذه الرسمة نبين إنه لما تكون X
+
+97
+00:07:58,610 --> 00:08:02,570
+maximum السرعة بتكون minimum بتكون zero بالمعنى
+
+98
+00:08:02,570 --> 00:08:07,830
+الأصح، لما تكون الـX maximum هي maximum وهي
+
+99
+00:08:07,830 --> 00:08:13,290
+maximum شايفين؟ قد ايش السرعة؟ Zero نجي هنا قد ايش
+
+100
+00:08:13,290 --> 00:08:17,870
+السرعة؟ Zero هنا Minimum برضه Zero شايفين كيف؟
+
+101
+00:08:17,870 --> 00:08:22,850
+بتكون Zero تمام إذا بيقول ليه؟ there is a phase
+
+102
+00:08:22,850 --> 00:08:26,150
+difference قد ايش مقداره هذا الـphase difference؟
+
+103
+00:08:26,150 --> 00:08:32,990
+By 90 between X and V between X and V ايش يعني؟
+
+104
+00:08:32,990 --> 00:08:37,590
+when X is maximum or minimum the velocity is Zero
+
+105
+00:08:38,480 --> 00:08:40,940
+the velocity is zero طبعا أنتو بتعرفوا في ال
+
+106
+00:08:40,940 --> 00:08:42,880
+calculus الـmaximum والـminimum ما بيسموها ال
+
+107
+00:08:42,880 --> 00:08:46,500
+extremes صحيح ولا لأ؟ وبالتالي كيف بتجيبوا الـ
+
+108
+00:08:46,500 --> 00:08:50,300
+extreme في الـcalculus؟ بتفاضله بتساويه zero طبعا
+
+109
+00:08:50,300 --> 00:08:53,540
+ليش احنا بنفاضل وبنساويه zero؟ بنقول عند ال
+
+110
+00:08:53,540 --> 00:08:58,120
+maximum لازم المماس يكون أفقي وما زال أفقي جداً
+
+111
+00:08:58,120 --> 00:09:02,360
+شماله؟ zero عشان كده بتيجي القضية وهي نفس العملية
+
+112
+00:09:02,360 --> 00:09:05,280
+فبالتالي الـmaximum والـminimum ما بيشبهوا بعض في الـ
+
+113
+00:09:05,280 --> 00:09:06,660
+calculus extremes بيسموهم
+
+114
+00:09:17,410 --> 00:09:20,450
+البندول البندول بالظبط ما هي اللي بدنا نحكيها في
+
+115
+00:09:20,450 --> 00:09:23,910
+البندول هي جيت عند هذه النقطة وعند هذه النقطة هي
+
+116
+00:09:23,910 --> 00:09:29,190
+أقصى إزاحات هنا ايش بيصير فيه عنده سكون لحظي إذا
+
+117
+00:09:29,190 --> 00:09:33,510
+عند أقصى إزاحة السرعة بتكون zero عند أقصى إزاحة في
+
+118
+00:09:33,510 --> 00:09:36,690
+الحالتين عشان كده الـmaximum والـminimum في
+
+119
+00:09:36,690 --> 00:09:41,250
+الزنبرك احنا بنعتبر أن الـzero عندي في النص الـ
+
+120
+00:09:41,250 --> 00:09:44,530
+maximum هنا والـminimum هنا في الحالتين السرعة
+
+121
+00:09:44,530 --> 00:09:49,270
+بتكون Zero وهذه شغلة منطقية بتكمل فكرة أن الجسم
+
+122
+00:09:49,270 --> 00:09:53,980
+رايح جاي الـphase of the acceleration differs from
+
+123
+00:09:53,980 --> 00:09:59,200
+the phase of the displacement by 180 degree اللي هو
+
+124
+00:09:59,200 --> 00:10:03,240
+السالب اللي جاب السالب إذا عندي 180 درجة that is
+
+125
+00:10:03,240 --> 00:10:07,880
+when x is maximum a is minimum هيها هي x is
+
+126
+00:10:07,880 --> 00:10:10,840
+maximum تطلعوا هنا الـacceleration بتيجي باتجاه
+
+127
+00:10:10,840 --> 00:10:14,660
+المعاكس إذا هذه maximum هذه minimum طب هي minimum
+
+128
+00:10:14,660 --> 00:10:18,620
+تطلعوا وين جت بتكون maximum تمام
+
+129
+00:10:21,450 --> 00:10:27,630
+الآن يقول لي خلينا نفك في المعادلة عنا بصورة
+
+130
+00:10:27,630 --> 00:10:31,150
+مختلفة قال لي فيه قانون نيوتن الثاني أخدناه؟
+
+131
+00:10:31,150 --> 00:10:35,710
+أخدناه اللي أخدناه في شبط الأربعة F بتساوي MA قال
+
+132
+00:10:35,710 --> 00:10:39,650
+لي التسارع مش سوي طلعته وأنا وياك قلنا A بتساوي
+
+133
+00:10:39,650 --> 00:10:45,130
+سالب ω تربيع في X مظبوط ولا ..؟ قال
+
+134
+00:10:45,130 --> 00:10:51,890
+لي حط بدل A سالب ω تربيع في X هيها الـA إذا
+
+135
+00:10:51,890 --> 00:10:56,310
+معناته الـforce تبعت أي simple harmonic motion
+
+136
+00:10:56,310 --> 00:11:05,750
+لازم تكون صيغتها سالب ثابت مضروب في X سالب ثابت مضروب في X
+
+137
+00:11:05,750 --> 00:11:11,670
+والثابت هذا له علاقة بالـω إن ω تساوي
+
+138
+00:11:11,670 --> 00:11:16,090
+جذر التربيع إلى K على M هذا الـK ثابت أي ثابت
+
+139
+00:11:16,090 --> 00:11:19,170
+ممكن يكون ثابت الزنبرك وممكن يكون ثابت ثاني
+
+140
+00:11:19,170 --> 00:11:24,290
+تمام؟ لو أتينا وعملنا K is constant تمام؟ هل
+
+141
+00:11:24,290 --> 00:11:28,010
+جيت بيقولي طب الـA مش هي المستقل الثاني للـX؟
+
+142
+00:11:28,010 --> 00:11:33,780
+أمين طيب اعملها صارت عندي العلاقة هذه رتبها صار
+
+143
+00:11:33,780 --> 00:11:39,320
+عندي معادلة تسمى معادلة تفاضلية من الدرجة الثانية
+
+144
+00:11:39,320 --> 00:11:43,080
+ليه سميناها معادلة تفاضلية؟ عشان فيه تفاضل ليش من
+
+145
+00:11:43,080 --> 00:11:45,880
+الدرجة الثانية؟ عشان التفاضل من الدرجة الثانية بمعنى
+
+146
+00:11:45,880 --> 00:11:52,540
+آخر لو كانت DX على DT زائد نفترض ω تربيع في X
+
+147
+00:11:52,540 --> 00:11:56,100
+تساوي 0 هذه معادلة تفاضلية من الدرجة الأولى
+
+148
+00:11:56,920 --> 00:12:01,440
+تمام؟ وهذه شقاقها سهل أو التعامل معها سهل لكن
+
+149
+00:12:01,440 --> 00:12:06,680
+هذه بدها تقنيك أعلى شوية وزي ما احنا متفقين وحكينا
+
+150
+00:12:06,680 --> 00:12:12,340
+جل الطلاب اللي بياخدوا تخصصات علمية حقيقية لازم
+
+151
+00:12:12,340 --> 00:12:15,120
+يحتاجوا الـdifferential equation لازم يحتاجوا الـ
+
+152
+00:12:15,120 --> 00:12:17,860
+differential equation لأن في النهاية أنت عند
+
+153
+00:12:17,860 --> 00:12:22,320
+القوانين اللي بدك تشتغل فيها والقوانين بتواجه زي
+
+154
+00:12:22,320 --> 00:12:27,400
+ما بتواجه الجامع والضرب الجامع الـ .. ايش بيسموهم؟
+
+155
+00:12:27,400 --> 00:12:30,420
+الكثور العادية والشغلات اللي زي هذه هتواجه
+
+156
+00:12:30,420 --> 00:12:35,420
+تفاضلات هتواجه تكامل وما زال في تفاضل وفي تكامل
+
+157
+00:12:35,420 --> 00:12:40,560
+معنى ان في عندك معادلات تفاضلية لازم تتحلها فأغلب
+
+158
+00:12:40,560 --> 00:12:45,200
+التخصصات العلمية أغلبها لازم الـdifferential
+
+159
+00:12:45,200 --> 00:12:50,500
+equations تلزم تمام؟ يمكن ما بنستثنيش إلا بعض
+
+160
+00:12:50,500 --> 00:12:55,660
+التخصصات اللي هي بتكون أقرب إلى الأمور الأدبية منها
+
+161
+00:12:55,660 --> 00:13:01,120
+إلى الأمور العلمية زي مثلًا تخصص العمارة لأن تخصص
+
+162
+00:13:01,120 --> 00:13:04,560
+العمارة في كثير من المدارس بيعتبرهاش جزء من
+
+163
+00:13:04,560 --> 00:13:08,180
+الهندسة يعني أنا كنت في تركيا في جامعة كانوا
+
+164
+00:13:08,180 --> 00:13:11,460
+يعتبروا العمارة مش من الهندسة لها كلية خاصة كلية
+
+165
+00:13:11,460 --> 00:13:16,040
+فنون وعمارة ما لهاش دعوة في العلم بالمرة من الأول
+
+166
+00:13:16,040 --> 00:13:19,740
+أما الهندسة خلاص الهندسة المعروفة بدها رياضيات
+
+167
+00:13:19,740 --> 00:13:24,760
+كثير وبدها شغل كثير وبالتالي أغلب المدارس خلينا
+
+168
+00:13:24,760 --> 00:13:30,540
+نقول الأجنبية بيعتبروا إن العمارة يعني أقرب إلى
+
+169
+00:13:30,540 --> 00:13:36,180
+الفن أكثر من إنه علم هندسي علم هندسي يعني مش ضمن
+
+170
+00:13:36,180 --> 00:13:42,960
+قسم من أقسام الهندسة وكانت يعني الجامعة تبعتنا هي
+
+171
+00:13:42,960 --> 00:13:46,580
+أصلًا جامعة هندسة في الأول Technical University
+
+172
+00:13:46,580 --> 00:13:50,420
+وبالتالي الهندسة عندها رقم واحد وكانت طاردة
+
+173
+00:13:50,420 --> 00:13:55,410
+العمارة برا كلية الهندسة طبعا هي موجودة ولها كلها
+
+174
+00:13:55,410 --> 00:14:00,650
+لحالها يعني مشمولة بس أما باقي التخصصات نقول مد
+
+216
+00:16:59,430 --> 00:17:02,030
+طوافقية بسيطة ولا لا؟ إيش هو الجسم زي البندول؟
+
+217
+00:17:02,030 --> 00:17:05,730
+البندول إيش هو؟ جسم مربوط بحبل مظبوط ولا لأ؟ هذا
+
+218
+00:17:05,730 --> 00:17:09,650
+واضح للجميع جابي المعرفة إذا حد جسم مربوط ببندول
+
+219
+00:17:09,650 --> 00:17:14,570
+إذا إيش عليه قوة MG والشد؟ إذا MG والشد مبينين بدي
+
+220
+00:17:14,570 --> 00:17:19,770
+أشوف هدول القوة اللي بتأثر على الجسم هل تندرج تحت
+
+221
+00:17:19,770 --> 00:17:23,270
+هذه الفئات أنه F مستوى سلب K في الـ X ولا لما
+
+222
+00:17:23,270 --> 00:17:30,310
+نجيها تمام زي كمثال أول انحله أنه الـ displacement
+
+223
+00:17:30,310 --> 00:17:35,530
+of a particle المثال varies with time according to
+
+224
+00:17:35,530 --> 00:17:39,090
+بقول هي سؤال بسيط جدا أنا بقولك إذا أحد الجسم أنا
+
+225
+00:17:39,090 --> 00:17:45,110
+جبتلك إياها ووجدت أنها تعطى بهذه العلاقة هل هذه
+
+226
+00:17:45,110 --> 00:17:49,330
+بأقدر أقول جازما إن الجسم بتحرك حركة توافقية بسيطة
+
+227
+00:17:49,330 --> 00:17:53,730
+ولا لأ؟ قطعا هي المعادلة موجودة المعادلة بتقول زي
+
+228
+00:17:53,730 --> 00:17:58,910
+هذه ما زال زي هذه إذا الحركة توافقية بسيطة قطعا إيش
+
+229
+00:17:58,910 --> 00:18:03,550
+عرفت الإيه؟ amplitude إذا نجدّش الـ amplitude هنا 6
+
+230
+00:18:03,550 --> 00:18:08,490
+إيش عرفت ال Omega؟ frequency جدّشلي frequency باي
+
+231
+00:18:08,490 --> 00:18:13,850
+الشيء ال Delta باي على تلاتة طيب إيش هو بده؟ بيقول
+
+232
+00:18:13,850 --> 00:18:18,030
+ليه؟ what is the amplitude and the frequency of
+
+233
+00:18:18,030 --> 00:18:22,890
+the motion حلناهم جدّش ال amplitude؟ ستة وقدش ال
+
+234
+00:18:22,890 --> 00:18:27,330
+frequency اللي هي باي حلو الشغل التاني determine
+
+235
+00:18:27,330 --> 00:18:32,070
+the position the velocity and the acceleration at
+
+236
+00:18:32,070 --> 00:18:36,610
+a specific time عند time معين مديكي إياه تنين
+
+237
+00:18:36,610 --> 00:18:42,210
+second بسيطة بدي أعوض محل ال T بتنين second المطلوب
+
+238
+00:18:42,210 --> 00:18:46,330
+التاني Determine the maximum speed the maximum
+
+239
+00:18:46,330 --> 00:18:51,050
+acceleration of the particle اعتقد فيه مطلوب تالت
+
+240
+00:18:51,050 --> 00:18:56,350
+لأ تمام اذا اول حاجة بقول انت عندك هذه المعادلة
+
+241
+00:18:56,350 --> 00:19:03,010
+العامة comparing هذه المعادلة اللي جتنيها with the
+
+242
+00:19:03,010 --> 00:19:08,990
+general equation العامة مبين ان A هي الـ 6 متر
+
+243
+00:19:08,990 --> 00:19:12,630
+Omega هي الـ πي اللي هي تلاتة و أربعة عاشر في
+
+244
+00:19:12,630 --> 00:19:18,320
+المية والـ Delta هي الـ πي على تلاتة المطلوب التاني
+
+245
+00:19:18,320 --> 00:19:22,340
+زي ما اتفقنا بده ال position عن T بتساوي 2 second
+
+246
+00:19:22,340 --> 00:19:26,020
+وبده السرعة عن T بتساوي 2 second وبده ال
+
+247
+00:19:26,020 --> 00:19:29,540
+acceleration عن T بتساوي 2 second فأول حاجة بين U
+
+248
+00:19:29,540 --> 00:19:37,540
+و X عوض 6 Cos 2 Pi بدل ال T حطت 2 فصارت بدي الـ πاي
+
+249
+00:19:37,540 --> 00:19:40,460
+في الـ T اتنين باي اتنين باي زي اتباع تلتة بنجيبها
+
+250
+00:19:40,460 --> 00:19:44,380
+من الـ Calculator بنضربها في الستة طلعت معايا هذه
+
+251
+00:19:44,380 --> 00:19:50,960
+عبارة عن نص في ستة طلعت تلاتة متر وزي ما اتفقنا X
+
+252
+00:19:50,960 --> 00:19:56,540
+ممنوعة زيد عن الـ Amplitude لأن الـ Amplitude هي
+
+253
+00:19:56,540 --> 00:20:00,340
+أقصى قيمة للـ X الـ Amplitude ستة إذن هذه ممنوعة
+
+254
+00:20:00,340 --> 00:20:06,260
+تطلع عن الستة طلعت تلتة معقولة سأمشي الحال بالنسبة
+
+255
+00:20:06,260 --> 00:20:11,700
+للسرعة جالي تفضل اشتق الإزاحة اشتقناها صارت سالب
+
+256
+00:20:11,700 --> 00:20:16,940
+ستة في باي من ونجت ال باي؟ من التفاضل الداخلي تمام
+
+257
+00:20:16,940 --> 00:20:24,340
+ارجع حط بدل T 2 فهتطلع عندك sin 2 باي زي ال باية
+
+258
+00:20:24,340 --> 00:20:34,100
+تلاتة هي عبارة عن minus 16.3 meter per second نرجع
+
+259
+00:20:34,100 --> 00:20:38,870
+لل acceleration أشتق كمان مرة تجي كمان باي من هان
+
+260
+00:20:38,870 --> 00:20:42,350
+فإيه جت بايتربيع و رجعت هذه cosine وهذه عبارة عن
+
+261
+00:20:42,350 --> 00:20:46,470
+نص و ستة في بايتربيع تلاتة بايتربيع فطلعت عندي
+
+262
+00:20:46,470 --> 00:20:51,750
+minus 29.6 meter per second تربيع
+
+263
+00:20:58,010 --> 00:21:03,370
+حلو إذا الـ πاي كانت برا الـ sine و برا الـ cosine
+
+264
+00:21:03,370 --> 00:21:07,810
+هي تلاتة و أربعة عاشر زي هاجتهاج شايفينها؟ جوا الـ
+
+265
+00:21:07,810 --> 00:21:12,550
+sine ولا برا إذا انجدش بتحطها تلاتة point fourteen
+
+266
+00:21:12,550 --> 00:21:17,880
+هنا مية و تمانين لإنه جوا إذا بدكم اثبتوها ان
+
+267
+00:21:17,880 --> 00:21:21,420
+دايما 3.14 تحولوا الـ calculator تبعتكم اتخلوها
+
+268
+00:21:21,420 --> 00:21:26,840
+radian بس خلوكم معلمة انتوا عليه إذا هذه 3.14 طول
+
+269
+00:21:26,840 --> 00:21:29,760
+ما هي برا الـ sine و برا الـ cosine برا الـ
+
+270
+00:21:29,760 --> 00:21:32,320
+trigonometric functions الـ sine و الـ cosine و
+
+271
+00:21:32,320 --> 00:21:35,460
+الـ tan و الـsec و الـ cosec كلهم هدول باعتبرها
+
+272
+00:21:35,460 --> 00:21:43,260
+180 درجة براهم نصيح 3.14 جوا 180 درجة اتفقنا؟ تمام
+
+273
+00:21:44,670 --> 00:21:48,310
+في المطلوب الأخير سهلة بده ال maximum ال maximum
+
+274
+00:21:48,310 --> 00:21:53,450
+هي مبينة heavy إذا ال maximum 6π هاي ال ايه ال
+
+275
+00:21:53,450 --> 00:21:57,230
+maximum 6π تربية أو بقول ايه في omega و ايه في
+
+276
+00:21:57,230 --> 00:22:07,070
+omega تربية هي هي تمام إذا العملية سهلة كأول مثال
+
+277
+00:22:09,170 --> 00:22:12,630
+للحركة التوافقية البسيطة نرجع ونقول هو الجسم
+
+278
+00:22:12,630 --> 00:22:16,210
+المربوط بـ «زومباراك» هاجد احنا عندنا شرطين
+
+279
+00:22:16,210 --> 00:22:22,830
+الإزاحة أو القوة وقلنا القوة أسهلنا جسم مربوط بـ
+
+280
+00:22:22,830 --> 00:22:30,080
+«زومباراك» ومحتوط على سطح أفقي وأملس بغض النظر عن
+
+281
+00:22:30,080 --> 00:22:35,080
+M, G و N، ما هي حركة أوفقية؟ ما هي؟ ما هي قوة
+
+282
+00:22:35,080 --> 00:22:39,360
+أوفقية بتأثر عليه؟ قوة الزنبارك وقوة الزنبارك كيف
+
+283
+00:22:39,360 --> 00:22:43,160
+تعطى؟ سالب K في الـ X إذا هي الصيغة اللي أنا بدور
+
+284
+00:22:43,160 --> 00:22:48,600
+عليها مزال F بساوي سالب K في الـ X إذا قطعا الجسم
+
+285
+00:22:48,600 --> 00:22:56,030
+بتحرك حركة توافقية بسيطة إذا as a first example of
+
+286
+00:22:56,030 --> 00:22:59,450
+the simple harmonic motion we consider the system
+
+287
+00:22:59,450 --> 00:23:05,070
+of a mass attached to a spring تمام Since the force
+
+288
+00:23:05,070 --> 00:23:10,190
+of a spring is given by minus K في الـ X، الآن هذه
+
+289
+00:23:10,190 --> 00:23:15,090
+K constant، آه، بس إلها معنى، هذه ثابت الصلوبة،
+
+290
+00:23:15,090 --> 00:23:19,090
+الصلابة تبع الزنبارك أو المرونة تبع الزنبارك، الـ
+
+291
+00:23:19,090 --> 00:23:22,290
+stiffness تبع الزنبارك، لذلك هذه إلها معنى، كم
+
+292
+00:23:22,290 --> 00:23:27,400
+واحدتها؟ النيوتن على متر عشان كده بيسموها ثابت
+
+293
+00:23:27,400 --> 00:23:30,640
+القوة جاله ما بديش تربطها بالزنبراك لإن هذي بكرا
+
+294
+00:23:30,640 --> 00:23:34,400
+بتصير لكل حركات التوافقية البسيطة أربطها بالقوة
+
+295
+00:23:34,400 --> 00:23:37,820
+فيقولها ثابت القوة و خلصنا ثابت الزنبراك ما هو
+
+296
+00:23:37,820 --> 00:23:42,860
+الزنبراك له قوة هي هي تمام this means that أول ما
+
+297
+00:23:42,860 --> 00:23:47,020
+كتب القوة قال هي الشرط اتحقق F بيساوي سلب K في ال
+
+298
+00:23:47,020 --> 00:23:51,920
+X إذا قال is in our system will exhibit a simple
+
+299
+00:23:51,920 --> 00:23:58,960
+harmonic motion طيب احنا قلنا لما قلنا أي قوة قلنا
+
+300
+00:23:58,960 --> 00:24:03,200
+K بتساوي M Omega تربيع بقدر اقول Omega بتساوي K
+
+301
+00:24:03,200 --> 00:24:07,380
+على M بيقول هي Omega إذا لما يقول لي جسم مربوط
+
+302
+00:24:07,380 --> 00:24:11,300
+بزنبارك و جيبلي ال frequency بقوله جديش كتلة الجسم
+
+303
+00:24:11,300 --> 00:24:16,360
+بدي K طب جديش K تحت الزنبارك بدي K خلص إذا عرفت K
+
+304
+00:24:16,360 --> 00:24:19,820
+وعرفت M ضايقشي طيب إذا عرفت Omega بقدر أجيب الزمن
+
+305
+00:24:19,820 --> 00:24:25,960
+الدوري A لأن بينهم علاقة لأن T بتسوى 2π على Omega
+
+306
+00:24:25,960 --> 00:24:31,320
+خلاصة وعكس التاني تمام فبقول ايه Omega بتسوى K على
+
+307
+00:24:31,320 --> 00:24:36,720
+M K بتسوى 2π على Omega و بقدر اجيب كل حاجة بعد هيك
+
+308
+00:24:36,720 --> 00:24:43,580
+تمام لأنه بعد هيك ايش بدك بدك X ما X ايه Cos Omega
+
+309
+00:24:43,580 --> 00:24:48,760
+T زي ال Delta مظبوط ولا لأ؟ هلجيت ايش ايه ما هو
+
+310
+00:24:48,760 --> 00:24:52,720
+بيبينك من بداية زي ما حطينا في المثال سحبته 5 cm
+
+311
+00:24:53,680 --> 00:24:57,080
+وفلته بيصير أكتر من الخمسة إذا أنا جديش ال
+
+312
+00:24:57,080 --> 00:25:02,380
+amplitude خمسة طب و أمجه هادي هي صحيح ولا لأ و
+
+313
+00:25:02,380 --> 00:25:07,200
+دالته هادي برضه بتبين عدم نشوف كيف نجيبها تمام على
+
+314
+00:25:07,200 --> 00:25:16,060
+حسب غالبا سفر طيب جالي هادي صدّقناك فاش إلا قوة
+
+315
+00:25:16,060 --> 00:25:20,740
+الزنبرك محتوط أفقي الحركة الأفقية اتطلعت على القوة
+
+316
+00:25:20,740 --> 00:25:24,600
+الأفقية إيش فيه قوة أفقية؟ قوة الزنبرك فاش غيرها
+
+317
+00:25:24,600 --> 00:25:29,470
+طب لو كان معلّاك قال لي في عنده قوتين هلجيت؟ عندك
+
+318
+00:25:29,470 --> 00:25:35,730
+MG وعندك قوة الزنبارك هل يطرح بضل الجسم بتحرك حركة
+
+319
+00:25:35,730 --> 00:25:40,350
+أوفقية ولا لأ؟ قال يلّا نجرب بإن نشوف الشرط بينطبق
+
+320
+00:25:40,350 --> 00:25:45,510
+ولا بينطبقش بيقوللي الآن إيش في عندك قوة؟ بقوله في
+
+321
+00:25:45,510 --> 00:25:53,950
+عندي MG لأسفل وهنا قوة الزنبارك اللي هي KX طبعا
+
+322
+00:25:53,950 --> 00:25:57,070
+السالب بجيبه لما أحط ال direction لأن السالب بنحط
+
+323
+00:25:57,070 --> 00:26:01,490
+عشان يقول دايما عكس الإزاح بس مش أكتر تمام جالي
+
+324
+00:26:01,490 --> 00:26:06,250
+حلو مع بعض التنتين ولا عكس بعض؟ عكس بعض إذا الواحد
+
+325
+00:26:06,250 --> 00:26:10,890
+ده مودة بواحدة سالبة تمام جالي خلينا سالب K X زائد
+
+326
+00:26:10,890 --> 00:26:14,470
+M G هاي القوتين مش هاي M G اللي مغلباك هاي نحط
+
+327
+00:26:14,470 --> 00:26:21,130
+إطها عشان ما نزعلش تمام جالي طيب أنت بدك تثبت أن F
+
+328
+00:26:21,130 --> 00:26:26,980
+بالساوية هذه هيسالب ثابت في X و X دي زاحة طب من
+
+329
+00:26:26,980 --> 00:26:31,120
+وين بدي أجيس الـ X؟ انت حُر؟ اتجيسها من أي نقطة؟
+
+330
+00:26:31,120 --> 00:26:34,260
+صحية ولا لأ؟ لأنه في الآخر احنا أخدنا من ال
+
+331
+00:26:34,260 --> 00:26:37,680
+calculus من زمان أن ال origin أعمله shift يمين،
+
+332
+00:26:37,680 --> 00:26:42,120
+شمال، فوق، تحت، بصحيلك ولا لأ؟ هذا origin وين
+
+333
+00:26:42,120 --> 00:26:45,720
+المكان بنعمله؟ يعني أنا بدي أجيس نفترض بعض هذا
+
+334
+00:26:45,720 --> 00:26:49,360
+الجسم من وين بدي أجيسه؟ من الحيطة ولا من بداية
+
+335
+00:26:49,360 --> 00:26:55,260
+الطاولة؟ بتفرج؟ بقول والله هذا بيبعد نص متر عن
+
+336
+00:26:55,260 --> 00:26:59,880
+بداية الطاولة و تلاتة متر عن بداية الحيطة مافرقش
+
+337
+00:26:59,880 --> 00:27:03,600
+كتير في الآخر، إذا كيف تاخد origin تبعك، ماتفرقش،
+
+338
+00:27:03,600 --> 00:27:09,060
+بيغيرش إشي، بيضر الجسم موجود في موقعه وماتغيرش،
+
+339
+00:27:09,060 --> 00:27:12,980
+يعني لما أقول والله نص متر و لا تلاتة متر، أتحرك؟
+
+340
+00:27:12,980 --> 00:27:15,940
+لأ، بس أنت بتديس بعضه عن اللي اتغير ال reference
+
+341
+00:27:15,940 --> 00:27:19,740
+تبعك اللي هو ال origin، قللي أنا حطيت ال K اللي
+
+342
+00:27:19,740 --> 00:27:26,450
+بديها برا معادلة رياضية جبر أخدناها في الابتدائي من
+
+343
+00:27:26,450 --> 00:27:29,770
+زمان أخدنا عامل مشارك، مظبوط ولا لأ؟ خد الكي عامل
+
+344
+00:27:29,770 --> 00:27:32,950
+مشارك، قالك هذا X، هذه يسارات MG على K، قال إيش هو
+
+345
+00:27:32,950 --> 00:27:37,830
+هذا؟ هذا ثابت، انت حركت ال origin، انت حركت ال
+
+346
+00:27:37,830 --> 00:27:43,730
+origin، X ناقص MG على K صار ثابت آخر، هو position
+
+347
+00:27:43,730 --> 00:27:51,460
+آخر، X شرطة إذن Mg X نقص Mg على K خلّيها هادي X
+
+348
+00:27:51,460 --> 00:27:59,860
+شرطة، X جديدة مشغل المكيفة، أبو حمزة؟ تمام،
+
+349
+00:27:59,860 --> 00:28:04,460
+لأ، بديش أشغله لأ،
+
+350
+00:28:04,460 --> 00:28:08,640
+لأ، لأ، أطفيه، أفضل تمام، إيش يعنيكم؟
+
+351
+00:28:12,210 --> 00:28:17,850
+أف بيساوي سالب K في X' إذا ما تغيرش أي حاجة،
+
+352
+00:28:17,850 --> 00:28:22,170
+ضالينا الصيغة زي ما هي، إيش اللي اتغير؟ ال
+
+353
+00:28:22,170 --> 00:28:26,550
+position، يعني بمعنى آخر، إحنا زنباراك معلق، وين
+
+354
+00:28:26,550 --> 00:28:30,560
+equilibrium position هيه؟ صحيح؟ هجد احنا لما يكون
+
+355
+00:28:30,560 --> 00:28:33,840
+هيك بيبطل يروح و ييجي حوالين هذه النقطة لكن لما
+
+356
+00:28:33,840 --> 00:28:37,500
+يكون معلج بيبطل يروح و ييجي حوال النقطة هذه بيروح
+
+357
+00:28:37,500 --> 00:28:41,020
+و بييجي حوال النقطة الجيدة النقطة الجيدة هنا سارت
+
+358
+00:28:41,020 --> 00:28:46,240
+لأنه لما اتعلجت الكتلة هذا دلوا زي ما هونفترض إنه
+
+359
+00:28:46,240 --> 00:28:50,500
+شوية شوية شوية شوية وماديش خلّي يروح ويجي وعلّجت
+
+360
+00:28:50,500 --> 00:28:53,240
+كتلة، بيضلوا هنا ولا بيمنت. إذن هاي هو كل ال
+
+361
+00:28:53,240 --> 00:28:57,240
+program position تبعه للجديد. إذن معناته هو بيروح
+
+362
+00:28:57,240 --> 00:29:02,180
+وبيجي حوالي النقطة G ده، اللي هي X شرطة، اللي
+
+363
+00:29:02,180 --> 00:29:06,780
+بتختلف عن X الأولى، ناقص MG على K، لكن في الآخر
+
+364
+00:29:06,780 --> 00:29:10,260
+بيضلوا رايح جاج، مابتفرجش، بس ال position تبعه
+
+365
+00:29:10,260 --> 00:29:16,680
+أختلف، تمام، خلّينا نحل السؤال التالي بيقول
+
+366
+00:29:16,680 --> 00:29:22,580
+consider a mass spring system with m equal 0.2
+
+367
+00:29:22,580 --> 00:29:28,140
+kilogram and spring constants k بتساوي خمسة نيوتن
+
+368
+00:29:28,140 --> 00:29:34,420
+على متر، the mass is displaced، حركت الكتلة، خمسة
+
+369
+00:29:34,420 --> 00:29:40,190
+صنتيمتر، and then released from rest then released
+
+370
+00:29:40,190 --> 00:29:45,130
+from rest من هذه الكلمة أخدت أنا معطيين بيقول لي
+
+371
+00:29:45,130 --> 00:29:56,610
+at X بتساوي 0.05 تمام كانت السرعة بتساوي Zero وهذه
+
+372
+00:29:56,610 --> 00:30:02,950
+البداية إذا هذه T بتساوي Zero إذا عن T بتساوي Zero
+
+373
+00:30:02,950 --> 00:30:06,550
+بداية الحركة هي مع T بتساوي Zero and start إذا
+
+374
+00:30:06,550 --> 00:30:11,620
+كلمة start الجمهور تم تحريره و تم إخراجه من هنا
+
+375
+00:30:11,620 --> 00:30:15,620
+البداية إذا الـ T بتساوي سفر from rest يعني V
+
+376
+00:30:15,620 --> 00:30:22,580
+بتساوي سفر و قدشن ال distance X بتساوي 0.05 هذي
+
+377
+00:30:22,580 --> 00:30:30,300
+معطية السؤال الآن إيش بده السؤال بقول لي find the
+
+378
+00:30:30,300 --> 00:30:34,760
+period and the frequency هذي جسم مربوط بزمبرك
+
+379
+00:30:35,370 --> 00:30:40,070
+معناته Omega بيساوي جزء التربيع إلى K على M K على
+
+380
+00:30:40,070 --> 00:30:47,910
+M K هدياك خمسة M 0.2 إذا Omega انعرفت انعرفت Omega
+
+381
+00:30:47,910 --> 00:30:54,730
+انعرفت T على طول اللي هو الزمان الدوري find the
+
+382
+00:30:54,730 --> 00:30:58,670
+
+431
+00:35:39,000 --> 00:35:42,320
+قوة متغيرة وكيف تجي بالـ work و تربط بالـ Potential
+
+432
+00:35:42,320 --> 00:35:45,980
+Energy هذا قانون الـ Potential Energy تبع الزنبرك
+
+433
+00:35:45,980 --> 00:35:51,220
+يمشي على جميع الحركة التوافقية البسيطة، إذن هي U طب
+
+434
+00:35:51,220 --> 00:35:56,710
+مش X هيها هي X ممكن أعوض عنها طب و الـ Kinetic
+
+435
+00:35:56,710 --> 00:36:04,850
+Energy؟ تمام هاي X طبعًا بدي أربطها هاي X جالي عشان
+
+436
+00:36:04,850 --> 00:36:08,230
+اختصار أقفلتك من الـDelta الـG أعتبرها Zero حلو
+
+437
+00:36:08,230 --> 00:36:17,050
+إذن هي U نص K x تربيع بتساوي A تربيع Cos تربيع
+
+438
+00:36:17,050 --> 00:36:20,610
+Omega T قال لي هذه خلصت منها طب القاينة تكنيكيا
+
+439
+00:36:20,610 --> 00:36:25,370
+قال لي نص M V تربيع طب و ال V ما زال ال X هيها بقدر
+
+440
+00:36:25,370 --> 00:36:32,110
+أقول ال V بتساوي ناقص A Omega Sin Omega T هي ال V
+
+441
+00:36:32,110 --> 00:36:39,640
+اشتقت ربع S ربع النهائي السالب واحد موجب A تربيع
+
+442
+00:36:39,640 --> 00:36:45,660
+Omega تربيع Sine تربيع إذا راح قال لي هذا هي هاي ال
+
+443
+00:36:45,660 --> 00:36:53,500
+V معناته هاي ال K قال لي طب مش هذه هي ال K هذه هي
+
+444
+00:36:53,500 --> 00:36:59,660
+ال K إذا نص K A تربيع و هناك نص K A تربيع عشان
+
+445
+00:36:59,660 --> 00:37:03,640
+يدخلوا معامل مشاركة الجيد فلمّا يتطلق قال لي هيها
+
+446
+00:37:03,640 --> 00:37:05,120
+اجمعهم
+
+447
+00:37:07,040 --> 00:37:11,580
+إذا E زي U نص K A تربيع Sine تربيع زي كو ساين
+
+448
+00:37:11,580 --> 00:37:16,680
+تربيع العلاقة المشهورة جدا اللي ما أحد بينساها
+
+449
+00:37:16,680 --> 00:37:21,720
+بالساوي واحد إذا صارت ال mechanical energy بالساوي
+
+450
+00:37:21,720 --> 00:37:26,760
+نص K A تربيع النص constant و ال K constant و ال A
+
+451
+00:37:26,760 --> 00:37:31,680
+constant إذا ال E ثابتة ما بتتغيرش مع الزمن يعني ال E
+
+452
+00:37:31,680 --> 00:37:37,200
+is conservedالـ E is conserved جديدة هل جيت اللي
+
+453
+00:37:37,200 --> 00:37:45,720
+عندي نفترض هذه هجيت هيها ده هي K زي U بتساوي نص K
+
+454
+00:37:45,720 --> 00:37:52,480
+A تربيع مش هذي ثابتة هتدبروها عشرة جول لو هذي
+
+455
+00:37:52,480 --> 00:37:57,600
+تلاتة كده هذي؟ سبعة حلو لو هذي خمسة؟ ثلاثة سنة طب
+
+456
+00:37:57,600 --> 00:38:04,280
+لو هذي صفر كده هذي؟ أربعة أشهر أكبر قيمة للـ K وقت
+
+457
+00:38:04,280 --> 00:38:09,320
+إيش بتكون؟ عشرة جدش هذه بتكون؟ ولما تكون صفر ما
+
+458
+00:38:09,320 --> 00:38:14,440
+هي هذه نص K X تربيع يعني لما X تساوي صفر يعني وين
+
+459
+00:38:14,440 --> 00:38:18,320
+أكبر سرعة عند ال equilibrium position؟ عند ال
+
+460
+00:38:18,320 --> 00:38:23,440
+equilibrium position طلعت اللي توحكت طيب هذه وقت
+
+461
+00:38:23,440 --> 00:38:28,220
+إيش بتكون .. هذه وقت إيش بتكون maximum؟ لما تكون
+
+462
+00:38:28,220 --> 00:38:32,690
+هذه صفر طب هذه وقتين بتكون maximum لما تكون نص K
+
+463
+00:38:32,690 --> 00:38:39,750
+تربيع نقطتي البندول لما يكون عند أقصى قيمتين عند
+
+464
+00:38:39,750 --> 00:38:43,650
+أقصى قيمتين بتكون ال U أكبر ما يمكن ما زال ال U
+
+465
+00:38:43,650 --> 00:38:47,590
+أكبر ما يمكن جدش هذه Zero و لما تكون هذه Zero جدش
+
+466
+00:38:47,590 --> 00:38:52,840
+السرعة ما هي أصلًا Zero من السرعة لأنه نص M V تربيع
+
+467
+00:38:52,840 --> 00:38:58,560
+إذا لو إجيت أنا بدي أرسم أرجع لكم لل Calculus شوية
+
+468
+00:38:58,560 --> 00:39:05,660
+يا بنات Y بتساوي X تربيع كيف رسمتها برابولة طيب
+
+469
+00:39:05,660 --> 00:39:11,020
+هذه نص K X تربيع مش برابولة هذه برابولة خليني
+
+470
+00:39:11,020 --> 00:39:15,600
+أرسمها بالحمرة
+
+471
+00:39:15,600 --> 00:39:19,820
+شايفينها بالابولالة مش بالابولالة هذه الـ potential
+
+472
+00:39:19,820 --> 00:39:22,740
+energy قالت طب كيف ال kinetic energy بترسمها؟
+
+473
+00:39:22,740 --> 00:39:25,820
+قلت لها بديش أرسمها بديش أرجع لكالكولاس أنت تويش
+
+474
+00:39:25,820 --> 00:39:29,560
+قلت لي؟ قلت لي لما تكون ال potential energy maximum
+
+475
+00:39:29,560 --> 00:39:33,300
+ال kinetic energy إيش بتكون؟ صفر و لما تكون ال
+
+476
+00:39:33,300 --> 00:39:37,240
+potential energy minimum هذه بيكون maximum طب هل
+
+477
+00:39:37,240 --> 00:39:41,820
+الزرقية بتلبي هذه الشغلات ولا لأ؟ اتطلعوا لما تكون
+
+478
+00:39:41,820 --> 00:39:44,280
+هذه الحمراء ال potential energy zero قلت لي إيش هذه
+
+479
+00:39:44,280 --> 00:39:50,150
+maximum؟ بيصير تجل تجل لما تكون هذه maximum و كأنهم
+
+480
+00:39:50,150 --> 00:39:55,090
+بربوا لو واحد طلع و واحدة نازلة واضح الآن عند أي
+
+481
+00:39:55,090 --> 00:40:01,190
+نقطة لازم المجموع يظل عشرة التي قلت لازم المجموع
+
+482
+00:40:01,190 --> 00:40:05,830
+يبقى ثابت لو هذه كانت هان معناته من هان لهان يجب
+
+483
+00:40:05,830 --> 00:40:10,430
+أن يكملوا هذا الحد لازم يكون مجموعهم واحد the sum
+
+484
+00:40:10,430 --> 00:40:15,150
+of U and K at any point is always constant and
+
+485
+00:40:15,150 --> 00:40:19,230
+equal to نص K A تربيع لو قلت لكم اجدوا ال maximum
+
+486
+00:40:19,230 --> 00:40:22,910
+kinetic energy نص K A تربيع جدش ال maximum
+
+487
+00:40:22,910 --> 00:40:28,040
+potential energy الـ Maximum Potential Energy نص
+
+488
+00:40:28,040 --> 00:40:32,920
+K A تربيع؟ بتكون التانية صفر؟ ما زالت جالكم بديه
+
+489
+00:40:32,920 --> 00:40:35,240
+الـ Maximum لوحدها؟ معناته التانية إيش بدها تكون؟
+
+490
+00:40:35,240 --> 00:40:38,980
+بدها تكون مسخوطة، رايحة، عشان هداك يكون Maximum
+
+491
+00:40:38,980 --> 00:40:46,100
+وهداك ما له حصة، هاي معناتها، تمام، طيب، هذه قيمة
+
+492
+00:40:46,100 --> 00:40:53,790
+خلصت، خلصت، هذه قيمة الـU أقول لكم الـ K كيف ستكون؟
+
+493
+00:40:53,790 --> 00:40:58,190
+سوف تقول لي هذا هو الـ K طبعًا الأزرق من أين إلى
+
+494
+00:40:58,190 --> 00:41:01,950
+أين؟ من هنا إلى هنا لو جمعت الأزرق مع الأحمر هل
+
+495
+00:41:01,950 --> 00:41:10,890
+ستكون هذا كله أم لا؟ أجمعه .. لو جمعتنا .. حركته
+
+496
+00:41:10,890 --> 00:41:17,370
+بس .. خرقته طول .. طلع نفس الطول أم لا؟ نفس الطول،
+
+497
+00:41:17,370 --> 00:41:21,250
+لذلك يجب أن نجمعهم مع بعض تمام
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/UCPH-oyOL10_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/UCPH-oyOL10_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b18183fef68f60128d1e74ff5e435f1accf8d611
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/UCPH-oyOL10_raw.srt
@@ -0,0 +1,2164 @@
+1
+00:00:21,560 --> 00:00:25,280
+بسم الله الرحمن الرحيم نكمل الأمثلة المتبقية أخر
+
+2
+00:00:25,280 --> 00:00:29,640
+حاجة أخدناها هو قوة الاحتكاك بس اللخص مع بعض أنه
+
+3
+00:00:29,640 --> 00:00:35,580
+اتفقنا أنه نتيجة تلامس سطحين مع بعض بتنتج عنه قوة
+
+4
+00:00:35,580 --> 00:00:41,200
+احتكاك هذه القوةجسمناها إلى نصفين قوة احتياك
+
+5
+00:00:41,200 --> 00:00:46,300
+استاتيكي في حالة عدم تحرك الجسم بقاء الجسم ساكن
+
+6
+00:00:46,300 --> 00:00:52,680
+وقوة احتياك جيناميكية لما الجسم يتحرك اتفقنا انه
+
+7
+00:00:52,680 --> 00:00:59,970
+FSهذه دائما تكون أقل أو تسوى ميو أس بالإن بمعنى
+
+8
+00:00:59,970 --> 00:01:04,710
+أخر أن فأس ما لهاش قيمة معينة و بتسوى ميو أس بالإن
+
+9
+00:01:04,710 --> 00:01:09,990
+فقط لما يكون الجسم على وشك الحركة لكن فك دائما
+
+10
+00:01:09,990 --> 00:01:16,260
+بتسوى ميو كي بالإن تمام؟لما جئنا نحكي عن قوة
+
+11
+00:01:16,260 --> 00:01:19,480
+الاحتكاك و كيف نرسمها في الـ Free Body Diagram
+
+12
+00:01:19,480 --> 00:01:23,820
+قولنا قوة الاحتكاك من المعنى تبعها لازم تكون
+
+13
+00:01:23,820 --> 00:01:29,080
+موازية للأسطح المتلامسة و بتكون عكس القوة المؤثرة
+
+14
+00:01:29,080 --> 00:01:33,660
+في حالة انها static و عكس الحركة في حالة انها تكون
+
+15
+00:01:33,660 --> 00:01:39,350
+dynamic و أول مثل كان معانا كان في عندى blockبتنزل
+
+16
+00:01:39,350 --> 00:01:46,750
+او بيصيرها sliding down uninclined plane وهذا ال
+
+17
+00:01:46,750 --> 00:01:49,970
+plane rough يعني بمعنى اخر فيه عنده معامل احتكاك
+
+18
+00:01:49,970 --> 00:01:53,990
+كان مطلوب منه ان نشوف ال acceleration تبع ال block
+
+19
+00:01:53,990 --> 00:01:57,950
+و بعد كده اذا كان ال block start from rest يعني
+
+20
+00:01:57,950 --> 00:02:02,800
+السرعة الإبتدائية تبعته zero تمامFind its velocity
+
+21
+00:02:02,800 --> 00:02:07,920
+بده سرعة نهائية after it slides a distance d along
+
+22
+00:02:07,920 --> 00:02:12,900
+the plate فبدنا بنرسم فيه body diagram فقلنا
+
+23
+00:02:12,900 --> 00:02:19,400
+بالإضافة الى mg وإن اللي بتأثر من السطح على الكتلة
+
+24
+00:02:19,400 --> 00:02:23,640
+وهي عمودية على السطح في عنده frictional force هذه
+
+25
+00:02:23,640 --> 00:02:27,680
+ال frictional force بتكون موازية للأسطح المتلامسة
+
+26
+00:02:30,080 --> 00:02:36,400
+وعكس الحركة فأعملناها هيك الآن بعد ما أصمت ال free
+
+27
+00:02:36,400 --> 00:02:41,020
+body diagram كان مطلوب مني أجي أحلل القوة تبعتي
+
+28
+00:02:41,020 --> 00:02:45,260
+إلى صينية وصادية وبالتالي بدي أحدد وين الصيني تبعي
+
+29
+00:02:45,260 --> 00:02:49,120
+و وين الصادية تبعي فجونا فيها كذا مسائل يفضل أن
+
+30
+00:02:49,120 --> 00:02:52,800
+أخد المحور الصيني down the plane مع ال plane نفسه
+
+31
+00:02:52,800 --> 00:02:56,920
+بحيث ال acceleration تكون صينية فأنا أخدت محاوري
+
+32
+00:02:56,920 --> 00:03:01,940
+بهذا الشكلالـ Positive X Axis Down والـ Positive Y
+
+33
+00:03:01,940 --> 00:03:08,240
+Axis العمودي عليه وبالتالي في هكذا محاور أصبحت N Y
+
+34
+00:03:08,240 --> 00:03:16,000
+Force و FK Horizontal Force مش Horizontal X Force
+
+35
+00:03:16,000 --> 00:03:20,420
+وضلت عند الـ MG اللي لازمها تحليل لأن الـ MG في
+
+36
+00:03:20,420 --> 00:03:24,160
+واضح الحالة لا هي مع المحور الصيني هذا ولا هي مع
+
+37
+00:03:24,160 --> 00:03:28,320
+المحور الصاضي هذا وبالتالي لابد أني أحللهافحللتها
+
+38
+00:03:28,320 --> 00:03:35,080
+إلى مركبتين mg sin الزاوية و mg cos الزاوية mg sin
+
+39
+00:03:35,080 --> 00:03:38,960
+الزاوية على اعتبار ان الزاوية هذه هي θ نفسها هي
+
+40
+00:03:38,960 --> 00:03:41,540
+نفس θ هذه تمام
+
+41
+00:03:43,040 --> 00:03:48,740
+بالتالي سارها جيت آه دي أنا بدي أطبق قانوني نيوتن
+
+42
+00:03:48,740 --> 00:03:53,300
+التاني مرة صيني و مرة صادي طبعا اللي بنتبهله احنا
+
+43
+00:03:53,300 --> 00:03:58,560
+انه هذه in مالهاش قانون مانقدرش نجيبها من .. نقول
+
+44
+00:03:58,560 --> 00:04:02,400
+in بيسوي كذا لأ in مين بيجيبها؟ بيجيبها قانوني
+
+45
+00:04:02,400 --> 00:04:06,680
+نيوتن التاني بالاتجاه العمودي هي اللي بيجيبها يعني
+
+46
+00:04:06,680 --> 00:04:10,500
+مانعش نحفظ انه in إيش بتساوي مالهاش قانون in من
+
+47
+00:04:10,500 --> 00:04:16,370
+سؤال لسؤال بتختلفحسب طبيعك السؤال تمام الان
+
+48
+00:04:16,370 --> 00:04:20,030
+applying الـ Newton's second law in the y-axis هي
+
+49
+00:04:20,030 --> 00:04:24,030
+الان بدي اجيب N طبقت هذه المعادلة اذا ال N بتيجي
+
+50
+00:04:24,030 --> 00:04:31,220
+من تطبيق قانون نيوتن التانيباتجاه الصاضي N-MG Cos
+
+51
+00:04:31,220 --> 00:04:34,500
+الزاوية بتساوي Zero لأنه مافيش عندي acceleration
+
+52
+00:04:34,500 --> 00:04:38,580
+بالاتجاه العمودي طبعا واضح من هنا بقدر أجيب N N
+
+53
+00:04:38,580 --> 00:04:42,680
+بتساوي MG Cos الزاوية جبتها وجهزتها فيما لو بديها
+
+54
+00:04:42,680 --> 00:04:49,010
+لأنه بديها عشان أجيب FK صحيح ولا لأ تمامالآن في
+
+55
+00:04:49,010 --> 00:04:52,430
+الـ x-axis في عندي خوتين في الـ x-axis مج صين
+
+56
+00:04:52,430 --> 00:04:59,770
+الزاوية positive والفك سالف minus فبنعملها مج صين
+
+57
+00:04:59,770 --> 00:05:04,030
+الزاوية minus فك بسوية ما فك هيها ميو ك في الان
+
+58
+00:05:04,030 --> 00:05:10,180
+والان جبتها نطوي فصارت عنديفك بيسوي ميو كي في ال N
+
+59
+00:05:10,180 --> 00:05:14,280
+بيسوي ميو NG كوسين الزاوية اللى طلعتها من المعادلة
+
+60
+00:05:14,280 --> 00:05:19,220
+السابقة فمنها طلعت قيمة ال acceleration اذا اول
+
+61
+00:05:19,220 --> 00:05:22,620
+مقلوب في السؤال find the acceleration of the
+
+62
+00:05:22,620 --> 00:05:26,320
+motion فال acceleration تطلع G sin θ minus ميو
+
+63
+00:05:26,320 --> 00:05:30,880
+كوسين الثتا طبعا واضح اخر سؤال كان المحاضرة
+
+64
+00:05:30,880 --> 00:05:34,140
+الماضية ان هدى constant ولا مش constant واتاكدنا
+
+65
+00:05:34,140 --> 00:05:38,420
+انها constantوما زالها constant التلت معادلات اللي
+
+66
+00:05:38,420 --> 00:05:43,400
+هي v بتسوي v0 plus at و x بتسوي v0 في ال T plus
+
+67
+00:05:43,400 --> 00:05:47,060
+half at squared وv squared equal v0 squared plus
+
+68
+00:05:47,060 --> 00:05:51,360
+2ax ممكن نطبق عليهم لأن هدول التلت معادلات شرطهم
+
+69
+00:05:51,360 --> 00:05:55,000
+أن تكون ال acceleration constant وهي constant
+
+70
+00:05:55,000 --> 00:06:00,350
+فالمطلوب الأخيربقول أوجد السرعة النهائية بعد ما
+
+71
+00:06:00,350 --> 00:06:04,290
+يكون مشي مسافة مقدارها D على اعتبار أنه بدأ من
+
+72
+00:06:04,290 --> 00:06:08,230
+السكون يعني السرعة الإبتدائية Zero فبقول since the
+
+73
+00:06:08,230 --> 00:06:12,510
+acceleration is constant بعد عملت check هنا فجالي
+
+74
+00:06:12,510 --> 00:06:16,720
+إذا هذا القانون ممكن أستخدمهتمام؟ أنا مطلوب مني V
+
+75
+00:06:16,720 --> 00:06:21,360
+هاجي Zero الـ X هي D والـ acceleration هي جاهزة
+
+76
+00:06:21,360 --> 00:06:26,020
+صحيح ولا لأ؟ فبصي العملية تعويد مباشر و بقدر أجيب
+
+77
+00:06:26,020 --> 00:06:31,880
+V بيساوي 2GD sin θ minus Mu cosine θ طبعا هي plus
+
+78
+00:06:31,880 --> 00:06:37,100
+or minus ولكن بنزل باتجاه ال positive X axis فخدت
+
+79
+00:06:37,100 --> 00:06:40,660
+ال positive و هو نازل أي استفسار عليها كذا؟ احكي
+
+80
+00:06:42,370 --> 00:06:49,070
+التجاه القوة المؤثرة عكس التجاه القوة الموجودة عكس
+
+81
+00:06:49,070 --> 00:06:52,910
+التجاه القوة المؤثرة هذي Fs؟ أه ماشي، طب هنا مافيش
+
+82
+00:06:52,910 --> 00:06:56,610
+طوا مؤثرة صح؟ أه بس في حركة هنا طب كيف ده بيكون
+
+83
+00:06:56,610 --> 00:07:01,510
+تجاه ال Fs؟ مافيش Fs هنا مافيش Fs؟ لأ و الله، حطيت
+
+84
+00:07:01,510 --> 00:07:05,790
+Fs ولا Fk في الرسم هنا؟ Fk وكيف Fk بتكون؟ عكس تجاه
+
+85
+00:07:05,790 --> 00:07:11,680
+الحركة أول حركة كانت موجودة ولا لأ؟ لألأ أسفة، لأ
+
+86
+00:07:11,680 --> 00:07:18,020
+فك كبتكون، لأ أعلى، لأ لأ أعلى، لأ أعلى، لأ أعلى،
+
+87
+00:07:18,020 --> 00:07:18,020
+لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ
+
+88
+00:07:18,020 --> 00:07:18,500
+أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى،
+
+89
+00:07:18,500 --> 00:07:19,320
+لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ
+
+90
+00:07:19,320 --> 00:07:19,380
+أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى،
+
+91
+00:07:19,380 --> 00:07:19,380
+لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ أعلى، لأ
+
+92
+00:07:19,380 --> 00:07:22,930
+أعلى، لأ أعلى، لأ أعلى، لألما يكون الجسم متحرك
+
+93
+00:07:22,930 --> 00:07:27,270
+مابتل فيه أف أس بيصير أف كيه هو كيه و أس هدول
+
+94
+00:07:27,270 --> 00:07:31,010
+رمزين استحلاهم اللي الكاتب و حاطهم ولا أس لها معنى
+
+95
+00:07:31,010 --> 00:07:34,650
+و كيه لها معنى أس من كلمة aesthetic يعني مافيش
+
+96
+00:07:34,650 --> 00:07:40,650
+حركة و كيه من كلمة كائنتك تمام؟ في حركة فطول ما في
+
+97
+00:07:40,650 --> 00:07:45,050
+حركة مابنفعش تقوليلي أف أس تمام؟ فحصي هاجت عن
+
+98
+00:07:45,050 --> 00:07:49,540
+المثال اللي وراه عشان أس و كيه هذهلأ ليس مش اللي
+
+99
+00:07:49,540 --> 00:07:54,640
+ورا، اللي ورا هده سهل بيقولي a worker drags a
+
+100
+00:07:54,640 --> 00:08:00,380
+crate عنده عامل بده يجرع عربة a worker drags ..
+
+101
+00:08:00,380 --> 00:08:03,840
+ادراج معاه تجرع تمام؟ a crate along a rough
+
+102
+00:08:03,840 --> 00:08:07,440
+horizontal surface تمام؟ في عنده عربة، كيف بده
+
+103
+00:08:07,440 --> 00:08:10,600
+يجرعها؟ بيربطها بحبل، بحط الحبل على كتفه و بمشي صح
+
+104
+00:08:10,600 --> 00:08:14,260
+ولا لأ؟ تمام؟ العربة لو كانت قصيرة، الحبل لما
+
+105
+00:08:14,260 --> 00:08:19,790
+يربطه على كتفه، بيميلزاوية صحيح ولا لأ؟ طيب by
+
+106
+00:08:19,790 --> 00:08:23,430
+pulling on a rope كي بده يجرها ويقول يقعد بيصحى
+
+107
+00:08:23,430 --> 00:08:27,410
+بحبل روب معناته حبل tied to the crate ومربوط هذا
+
+108
+00:08:27,410 --> 00:08:33,670
+الحبل في العربةالعملاء يجهز قوة 300 نيوتن القوة
+
+109
+00:08:33,670 --> 00:08:38,450
+تبع العملاء جسوها 300 نيوتن على الورق اللي موجهه
+
+110
+00:08:38,450 --> 00:08:43,250
+الحبل بميل 37 درجة عدن و نصف من الرسمة to the
+
+111
+00:08:43,250 --> 00:08:46,610
+horizontal as shown ما زال جال as shown، نشوف
+
+112
+00:08:46,610 --> 00:08:52,730
+الشون، هذا رسمتنا تمام،
+
+113
+00:08:52,730 --> 00:09:01,060
+إذا هذه الحبل هيك ميل الزاوية 37 درجةإذا كيناتك
+
+114
+00:09:01,060 --> 00:09:06,120
+كانت 60 كيلو جرام وكيناتك
+
+115
+00:09:06,120 --> 00:09:11,240
+كانت 0.3 كيناتك لأن هناك جرحة في الآخر يحركها إذا
+
+116
+00:09:11,240 --> 00:09:16,520
+كانت كيناتك وليس أستاتيك بين كيناتك وكيناتك هو 0.3
+
+117
+00:09:16,520 --> 00:09:22,180
+أجد أسرع كيناتك مثلما أقول أسرع في حركة تمام
+
+118
+00:09:22,180 --> 00:09:24,340
+وبالتالي مافيش أستاتيك أعني بفرضيكم أين يكون
+
+119
+00:09:24,340 --> 00:09:24,720
+الأستاتيك
+
+120
+00:09:27,910 --> 00:09:32,510
+معامل الاحتكاك 0.3 مع هذا كلها معطيات تمه .. زي ما
+
+121
+00:09:32,510 --> 00:09:36,710
+توي عملنا بدنا نرسم ال free body diagram بدنا نجيب
+
+122
+00:09:36,710 --> 00:09:40,890
+الكتلة و نشوف إيش عليها قوة ماشيك نسوي .. تمه
+
+123
+00:09:40,890 --> 00:09:46,390
+حركناها .. مش مشكلة الحركات ال free body diagram
+
+124
+00:09:46,390 --> 00:09:52,950
+.. نشوف .. وهيها إيش فيه .. أول قوة .. هذ ما هي
+
+125
+00:09:52,950 --> 00:09:57,640
+جاهزة و هذ جاهزةالـ 300 هاجم هو أعطانيها من الرسمة
+
+126
+00:09:57,640 --> 00:10:04,740
+مش شطارتي و الـ MG مفروض يكون بديهي زي ان بديهي ان
+
+127
+00:10:04,740 --> 00:10:06,960
+الـ acceleration عند أعلى نقطة في ال project ال
+
+128
+00:10:06,960 --> 00:10:13,040
+motion بالثاوي G برضه بديهي برضه بديهي و أول جواب
+
+129
+00:10:13,040 --> 00:10:17,680
+Zero عشان يخربط الطالب يقولي أقصى سرعة سوى 0 و
+
+130
+00:10:17,680 --> 00:10:19,520
+احنا مانحكيش عن السرعة نحكي عن ال acceleration
+
+131
+00:10:19,520 --> 00:10:25,870
+تمام؟هل هدول بديهية إذا الكتلة معلجة في الهواء ولا
+
+132
+00:10:25,870 --> 00:10:30,010
+مخصوصة على طاولة؟ إذا الطاولة في عليها قوة أعلى،
+
+133
+00:10:30,010 --> 00:10:36,170
+صحيح ولا لا؟ وخشنة، صحيح؟ إذا في قوة احتكاك، عكس
+
+134
+00:10:36,170 --> 00:10:41,330
+الحركة وموازية للأسطح المتلامسة، صحيح ولا لا؟ هل
+
+135
+00:10:41,330 --> 00:10:45,210
+في قوة من هذه القوات، القوة الموجودة، اتغلبنا كيف
+
+136
+00:10:45,210 --> 00:10:50,360
+نرسمها؟قوة كلها مبينة ومعروفة إذا احنا فاهمين إيش
+
+137
+00:10:50,360 --> 00:10:56,300
+اللي بنسويه N و FK هذه قوة احتكاكه الـ normal
+
+138
+00:10:56,300 --> 00:11:01,640
+force ناتجة نتيجة تلامس سطحين مع بعض إن normal to
+
+139
+00:11:01,640 --> 00:11:05,020
+the surface normal to the طاولة وطلعت لفوق و ال
+
+140
+00:11:05,020 --> 00:11:08,380
+friction force parallel to the surfaces أو
+
+141
+00:11:08,380 --> 00:11:13,500
+opposite to the motion طلعت بهذا الشكل طبعاًفي
+
+142
+00:11:13,500 --> 00:11:17,020
+النهاية حركتي هتكون بهذا الشكل على طول الطاولة
+
+143
+00:11:17,020 --> 00:11:20,580
+وبالتالي محاوري هي المحاور اللي بتعرفوها X وY عادي
+
+144
+00:11:20,580 --> 00:11:26,180
+وبالتالي MG صاضية N صاضية F كيسينية ضلة ال 300
+
+145
+00:11:26,180 --> 00:11:29,640
+اللي بدي أحللها وتحليلها مافيش أسهل منه cosine
+
+146
+00:11:29,640 --> 00:11:39,700
+وsin تمام فهنا حللناها وروحت مظبوط هيك ولا لأ؟طبعا
+
+147
+00:11:39,700 --> 00:11:43,500
+هذا المثال حاطناه لشغلة معينة عشان كثير طلاب حاطين
+
+148
+00:11:43,500 --> 00:11:49,120
+في مخهم أن N بيساوي MG وطبعا أنا قلت إن مالهاش
+
+149
+00:11:49,120 --> 00:11:53,340
+قانون مش لما يكون ساطع مائل MG كسان الزاوية لما
+
+150
+00:11:53,340 --> 00:11:57,420
+يكون ساطع أفقي MG مافيش منها جرحى يعني إن بنجيبها
+
+151
+00:11:57,420 --> 00:12:01,620
+من تطبيق قانون النوتين التاني باتجاه العمودي صحيح
+
+152
+00:12:01,620 --> 00:12:02,140
+ولا لأ؟
+
+153
+00:12:04,870 --> 00:12:09,450
+بظبط إذا إن بيسويش عن جي تمام فبالتالي إن برمج
+
+154
+00:12:09,450 --> 00:12:13,270
+مخنا إنه مالهاش قانون كيف بدي أجيبها أطبق و هجيتها
+
+155
+00:12:13,270 --> 00:12:15,930
+لو واحد لما يجي يطبق بيغلطش لكن لما يكون بيبرمج
+
+156
+00:12:15,930 --> 00:12:18,990
+حاله بقوانين و قوارب معينة بروح بكتبها بدون ما
+
+157
+00:12:18,990 --> 00:12:23,810
+نطلع على الرسمة وبالتالي بيغلط تمام Now applying
+
+158
+00:12:23,810 --> 00:12:27,270
+Newton's second law in the Y-axis في ال Y-axis أه
+
+159
+00:12:27,270 --> 00:12:31,070
+كم قوة فيه؟ تلت تلت هتلت هتلت هتلت هتلت هتلت هتلت
+
+160
+00:12:31,070 --> 00:12:33,850
+هتلت هتلت هتلت هتلت هتلت هتلت هتلت هتلت هتلأكمل
+
+161
+00:12:33,850 --> 00:12:38,330
+واحدة موجب و أكمل واحدة سلبة حين الموجب نحطه جانبه
+
+162
+00:12:38,330 --> 00:12:43,690
+موجب وسارق جانبه سارق فبصير N زائد تلاتمية ساينت
+
+163
+00:12:43,690 --> 00:12:47,870
+سبعة تلاتين ناقص MG بتساوي Zero لإن التسارع على
+
+164
+00:12:47,870 --> 00:12:52,890
+طول الطاولة مافيش تسارع لفوق و تحت فبقول لي N plus
+
+165
+00:12:52,890 --> 00:13:00,510
+F sin تلاتمية سبعة تلاتين ناقص MG بتساوي Zeroأه
+
+166
+00:13:00,510 --> 00:13:08,170
+هاي N وبالتالي N بيسوي MG ناقص F Sin الزاوية MG 60
+
+167
+00:13:08,170 --> 00:13:16,810
+في 9.8 ناقص 300 في كتر بس
+
+168
+00:13:16,810 --> 00:13:23,290
+متهيألي الجواب صح طلعت N معايا 407 نوت جاهزة تم
+
+169
+00:13:24,630 --> 00:13:26,970
+الان هو بدون acceleration .. ال acceleration صينية
+
+170
+00:13:26,970 --> 00:13:31,210
+ولا صادية؟ صينية طيب القانون اللي بيجيب ال
+
+171
+00:13:31,210 --> 00:13:33,770
+acceleration هو نفسه قانون نيوتن التاني بس من
+
+172
+00:13:33,770 --> 00:13:38,790
+اتجاه الصين now in the x axis we get .. سألوني
+
+173
+00:13:38,790 --> 00:13:42,890
+احكوا .. اش اللي مش واضح
+
+174
+00:13:48,860 --> 00:13:52,320
+واحد جاعت بيجرح على المحاية على الطاولة هو هيك
+
+175
+00:13:52,320 --> 00:13:55,960
+بيقوللي جديش ال extraction بهذا الشكل؟ مافيش، هذا
+
+176
+00:13:55,960 --> 00:13:59,960
+هي، من معطية السؤال هذا زي ما توجهلي جسم بسحل على
+
+177
+00:13:59,960 --> 00:14:05,280
+سطح مائل، هيك، بسحل هيك، إذا في هيك، لأ، إذا هذه
+
+178
+00:14:05,280 --> 00:14:10,370
+شغلات السؤال بيديكم إياها، يعني معطيةبيقوللي في
+
+179
+00:14:10,370 --> 00:14:17,610
+هذه الحالة قولت هذه ناقص هذه بيساوي MA فصارت F
+
+180
+00:14:17,610 --> 00:14:27,770
+cos7θ ناقص FK بيساوي MA FK شو بيساوي UK في ال Nهي
+
+181
+00:14:27,770 --> 00:14:33,530
+.. صحيح ولا لأ؟ فصار عندي Substituting for K equal
+
+182
+00:14:33,530 --> 00:14:39,770
+Mu K في ال N وطلعت 0.3 في 407 اللي جبتها طلعت 122
+
+183
+00:14:39,770 --> 00:14:46,590
+نيوتن عوض 300 كصان ال 37 ناقص ال 122 بالسوية 60A
+
+184
+00:14:46,590 --> 00:14:52,330
+وطلعت ال A طلعت 1.96 متر per second square أيه
+
+185
+00:14:52,330 --> 00:14:58,910
+الصفصاف؟ جدي جيت؟إذن هي قوة احتكاك بس نعرف نتعامل
+
+186
+00:14:58,910 --> 00:15:04,590
+معاها مش أكتر أي استفسار يا بنات؟ ولا في حاجة في
+
+187
+00:15:04,590 --> 00:15:14,610
+بالكم؟ طب الحمد لله كمان مثال؟ هذا .. خلّيني
+
+188
+00:15:14,610 --> 00:15:19,970
+أشوفه بيقول الـ two kilogram block is placed in a
+
+189
+00:15:19,970 --> 00:15:23,350
+top of five kilogram block as shown بيقول حطيتكوا
+
+190
+00:15:23,350 --> 00:15:24,270
+ثلاثين فوق بعد
+
+191
+00:15:26,960 --> 00:15:29,620
+شايفينهم؟ خلّيني أقرأ السؤال والرسم من قدامنا
+
+192
+00:15:29,620 --> 00:15:33,500
+اتنين kilogram block is placed on top of a five
+
+193
+00:15:33,500 --> 00:15:36,140
+kilogram block كيلو جرام بلوك as shown التانية
+
+194
+00:15:36,140 --> 00:15:40,560
+المحطوطة فوق الخمسة حلو؟ a horizontal force of
+
+195
+00:15:40,560 --> 00:15:44,700
+forty Newton السهم الأسود هذا عبارة عن قوة واحد
+
+196
+00:15:44,700 --> 00:15:48,640
+بيجرر الخمسة تحت تمام؟ is applied to the five
+
+197
+00:15:48,640 --> 00:15:52,290
+kilogram block أنا بيجرر التحتانية داأنا بأثار
+
+198
+00:15:52,290 --> 00:15:55,050
+التحتانية مش رابط الحبل في الفجانية رابطه في
+
+199
+00:15:55,050 --> 00:15:59,010
+التحتانية هذا كلها معطيات بيقول if the coefficient
+
+200
+00:15:59,010 --> 00:16:01,770
+of kinetic friction between the 5 kilogram block
+
+201
+00:16:01,770 --> 00:16:06,750
+and the surface is 0.2 اللي بين الزرجة والطاولة 0
+
+202
+00:16:06,750 --> 00:16:12,830
+.2 and assuming that the 2 kilogram block is in
+
+203
+00:16:12,830 --> 00:16:15,990
+the verge of slipping ايش معناه in the verge of
+
+204
+00:16:15,990 --> 00:16:20,150
+slipping بيقول على وشك الإنزلاقعلى وشك الانزلاغ
+
+205
+00:16:20,150 --> 00:16:25,670
+اللى فوق على وشك انها تنزلق على اللى تحت طيب انت
+
+206
+00:16:25,670 --> 00:16:32,360
+تتخيل السؤال لو اناشدّيت اللي تحت بسرعة كبيرة،
+
+207
+00:16:32,360 --> 00:16:36,640
+بتجعل اللي فوق، صح؟ فانا روحت عشان ما تجععش، ضلتني
+
+208
+00:16:36,640 --> 00:16:40,420
+أزود شوية شوية في قوة تبعتي، لما صارت الفوجانية
+
+209
+00:16:40,420 --> 00:16:44,080
+علاشة إنها تجع، تنزلت، قولت خلاص وقف، صاعتها
+
+210
+00:16:44,080 --> 00:16:48,760
+بدورهم اتنين مع بعض، هكذا، لسه الفوجانية ما زلقتش،
+
+211
+00:16:48,760 --> 00:16:53,340
+دلت فوق، دلت مع التحت تمشي، تمام؟ يعني أنا هي عندي
+
+212
+00:16:53,340 --> 00:16:57,920
+هادي و هاديتمام؟ فقول أنا بدي أمشيهم بحيث أنه
+
+213
+00:16:57,920 --> 00:17:02,240
+يمشوا مع بعض وضلتني أمشي أزود أزودهم بيمشوا مع بعض
+
+214
+00:17:02,240 --> 00:17:05,600
+لكن لو كانت جوتيها .. شوف كده بتسحل لو كانت أنا
+
+215
+00:17:05,600 --> 00:17:09,520
+عملت هيك هي بتسحل فانا بديش هي تسحل ضلتني أزود
+
+216
+00:17:09,520 --> 00:17:13,380
+القوة اللي بجر فيها لما صارت هذه على وشك أنها تسحل
+
+217
+00:17:13,380 --> 00:17:19,400
+على وشك أنها تسحل وشوف كلمة على وشك عشان هذهعشان
+
+218
+00:17:19,400 --> 00:17:22,780
+أفأس إن أنا لما أقول على وشك معناته عشان أكتب U S
+
+219
+00:17:22,780 --> 00:17:26,120
+في ال N لأنه هادي وقتك بتسويها لما تكون هادي على
+
+220
+00:17:26,120 --> 00:17:31,400
+وشك الحركة صحيح ولا لأ؟ تمأ؟ مش بدك and assuming
+
+221
+00:17:31,400 --> 00:17:34,740
+that تمأ what is the acceleration of the system؟
+
+222
+00:17:34,740 --> 00:17:38,080
+طبعا أنا هال gate هم ماشيين مع بعض ولا لأ؟ إذن ال
+
+223
+00:17:38,080 --> 00:17:40,660
+acceleration تحت الفجنية أو التحتنية زي بعض بيمشوا
+
+224
+00:17:40,660 --> 00:17:43,940
+مع بعضWhat is the coefficient of static friction
+
+225
+00:17:43,940 --> 00:17:47,140
+between the two blocks؟ هو قولكم لو أن هذه .. واحد
+
+226
+00:17:47,140 --> 00:17:50,700
+يقول إنه كي بده يجيبها، لو هذه أملسها و أنا جريت
+
+227
+00:17:50,700 --> 00:17:55,880
+هذه، تنجرها هذه معي؟ لأ، تنجرش، تذكرين أن أنا
+
+228
+00:17:55,880 --> 00:18:01,700
+قلتلكم لما نفترض هب حطينا خزانة ع شحن؟تمام؟
+
+229
+00:18:01,700 --> 00:18:05,640
+والشاحن لجته أملس تماما شغّل السواج الشاحن ومشي ..
+
+230
+00:18:05,640 --> 00:18:09,300
+إيش بصي في الخزانة؟ بتروح إيه؟ بتضلها زي ما هي ..
+
+231
+00:18:09,300 --> 00:18:15,260
+تمام؟ طب هجي السؤالي .. مين اللي حرك الخزانة؟
+
+232
+00:18:15,260 --> 00:18:17,500
+ماحد .. ماحد يقوللي سرعة .. احنا خدنا الـNewton
+
+233
+00:18:17,500 --> 00:18:21,600
+الهدف مش عشان نحفظه .. مافيش حد بيحرك إلى قوة ..
+
+234
+00:18:21,600 --> 00:18:23,980
+قوة .. ممنوع حد يقوللي ايش حركت سرعة ولا
+
+235
+00:18:23,980 --> 00:18:27,560
+acceleration .. قوة .. بيدي قوة .. قوة الشاحن؟ لا
+
+236
+00:18:27,560 --> 00:18:27,760
+..
+
+237
+00:18:31,320 --> 00:18:35,600
+مين اللي حرك الخزانة؟ اما انت واصلا قلتلكم هب ان
+
+238
+00:18:35,600 --> 00:18:38,680
+الشحن أملس بتحرك الخزانة؟ اذا مين اللي حرك
+
+239
+00:18:38,680 --> 00:18:42,480
+الخزانة؟ قوة الاحتكاك هي الاحتكاك هي اللي خلت
+
+240
+00:18:42,480 --> 00:18:46,240
+الخزانة تتحرك معايا لو انها ملساق ومافيش قوة
+
+241
+00:18:46,240 --> 00:18:49,860
+احتكاك الخزانة والله مابتتحرك، بتبقى زي ما هي،
+
+242
+00:18:49,860 --> 00:18:54,140
+تمام؟ نفس العملية أن انتوا بتعرفوا السيارة ال
+
+243
+00:18:54,140 --> 00:18:58,960
+motorش بيعمل، بيخلي العجالة تدوربس مطور السيارة ..
+
+244
+00:18:58,960 --> 00:19:02,760
+يعني احنا بيقولك مين اللي شغل السيارة؟ مش المطور
+
+245
+00:19:02,760 --> 00:19:09,280
+لأنه طلعوا سيارة فوق على الجوها وشغل مطور السيارة
+
+246
+00:19:09,280 --> 00:19:12,900
+وادعس بنزين، بلفوا الإعجاب، لكن والله ما تتحرك ولا
+
+247
+00:19:12,900 --> 00:19:20,350
+مترعشان تتحرك متر واحد تنمس الأرض هرجيت فيما لو
+
+248
+00:19:20,350 --> 00:19:24,650
+شفتوا أو عمركم طلعتوا على أماكن تلجية وفيه تلج
+
+249
+00:19:24,650 --> 00:19:28,490
+بيجي السواج الصبحيات بطلع من داره بلاقي الدنيا
+
+250
+00:19:28,490 --> 00:19:33,810
+بياض كلها تمام؟ بخش على السيارة بحمها السيارة و
+
+251
+00:19:33,810 --> 00:19:37,270
+بتشغل السيارة بضرب بنزين بتطلع حاله جلساته على باب
+
+252
+00:19:37,270 --> 00:19:43,000
+الدارما تتحركش، وإيش؟ العيال معانا بتلوف، و الصوت
+
+253
+00:19:43,000 --> 00:19:47,200
+اللي مطور، بيكعر كعر، يعني فيه، لكن بتطلع على أباب
+
+254
+00:19:47,200 --> 00:19:52,540
+الضهر، ولا صلة حاجة، تمام؟ ليش؟ لأنه التلج عمل سطح
+
+255
+00:19:52,540 --> 00:19:58,340
+أملس، وبالتالي كان زمان، أو مش زمان، وما زالواأول
+
+256
+00:19:58,340 --> 00:20:02,580
+ما يصير فيه تلج يصير تنزل التعليمات كل واحد يتفقد
+
+257
+00:20:02,580 --> 00:20:06,780
+السلاسل الجنازيري في صيارته موجودة ولا لا عشان
+
+258
+00:20:06,780 --> 00:20:10,140
+يقدر يتحرك بيروح بنزل السواك بيروح بيجيب الجنازير
+
+259
+00:20:10,140 --> 00:20:14,900
+معروف ومحطور و بيحطه في العجل و بعدين بيبدأ يشغل
+
+260
+00:20:14,900 --> 00:20:18,530
+اش الجنازير بيسوي؟ بيزيد الاحتكاكبزيد الاحتكاك
+
+261
+00:20:18,530 --> 00:20:22,530
+بينه وبين التلج تمشي السيارة ولّه لو مافيش جنزير
+
+262
+00:20:22,530 --> 00:20:25,610
+بيخبط منها لبُكرة وبعد ساعتين او تلاتة هو عمروش
+
+263
+00:20:25,610 --> 00:20:29,390
+بيصل شغله ويضلوا على باب الضغط طبعا عامل ما تيجي
+
+264
+00:20:29,390 --> 00:20:33,350
+البلدية و تجيب التلج و تحط شغلات كتيرة لكن عشان هو
+
+265
+00:20:33,350 --> 00:20:37,090
+يمشي لازم يكون حامل دائما برا في أوروبا في المناطق
+
+266
+00:20:37,090 --> 00:20:42,210
+اللي فيها التلج لازم يكون من ضمن عجل الاسبير لازم
+
+267
+00:20:42,210 --> 00:20:45,870
+يكون عنده جنزير خاصة بالعجال في أيام التلج وأيام
+
+268
+00:20:45,870 --> 00:20:49,090
+التلج في أوروبا كتيرةبتبدأ معاهم من شهر إحدى عشر
+
+269
+00:20:49,090 --> 00:20:53,860
+تتخلص في شهر أربعة يعني مش يوم ولا يومينتمام، إذن
+
+270
+00:20:53,860 --> 00:20:58,680
+هنا نفس العملية خلّينا هذه الشغلات ترجمها كـ Free
+
+271
+00:20:58,680 --> 00:21:02,160
+Body Diagram أهم حاجة لـ Free Body Diagram هي أصعب
+
+272
+00:21:02,160 --> 00:21:06,100
+سؤال ممكن يمر، هذه هكذا أسئلة، هذه أصعب أسئلة ممكن
+
+273
+00:21:06,100 --> 00:21:09,560
+تمر، و لو أنتوا تفكرتوا فيها صح، كل يوم تشوفوها، و
+
+274
+00:21:09,560 --> 00:21:12,940
+كل يوم أنتوا بتقتنعوا فيها، لكنه بتحللوهاش
+
+275
+00:21:12,940 --> 00:21:15,760
+بالتحليل الفيزيائي الصح، لما يُبرك مين حركها؟
+
+276
+00:21:15,760 --> 00:21:19,880
+الصوعة، الصوعة ماتحركش، بدي قوة، بدي قوة
+
+277
+00:21:23,270 --> 00:21:26,390
+طبعا هذه 0.2 اللي هو معاملة التكك بين الزرجة
+
+278
+00:21:26,390 --> 00:21:31,150
+والطاولة من دنياها تمام واتحركوا مع بعض اقدر
+
+279
+00:21:31,150 --> 00:21:37,010
+تحركهم مع بعض the free body diagram of the two
+
+280
+00:21:37,010 --> 00:21:39,810
+blocks عندى two blocks يعني عندى two free body
+
+281
+00:21:39,810 --> 00:21:42,350
+diagrams زى حكاية ال .. ال .. ال .. ال .. ال .. ال
+
+282
+00:21:42,350 --> 00:21:42,650
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+283
+00:21:42,650 --> 00:21:42,950
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+284
+00:21:42,950 --> 00:21:43,450
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+285
+00:21:43,450 --> 00:21:43,830
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+286
+00:21:43,830 --> 00:21:43,830
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+287
+00:21:43,830 --> 00:21:43,830
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+288
+00:21:43,830 --> 00:21:43,830
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+289
+00:21:43,830 --> 00:21:44,890
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..بسم
+
+290
+00:21:44,890 --> 00:21:48,110
+الله .. خلّينا أنا الرسمة كنت حابب .. خلّينا بعدين
+
+291
+00:21:48,110 --> 00:21:51,610
+نرسمها .. خلّينا نرسمها يدوي وبعدين نطلع .. نيجي
+
+292
+00:21:51,610 --> 00:21:54,370
+.. في وين نبدأ؟ في اللي فوق ولا اللي تحت؟ نبدأ في
+
+293
+00:21:54,370 --> 00:22:00,290
+اللي تحت .. بسم الله .. اللي تحت خمسة كيلو جرام ..
+
+294
+00:22:00,290 --> 00:22:05,410
+أول حاجة إيش ماتيش أنساها؟ خمسة
+
+295
+00:22:05,410 --> 00:22:13,570
+جين .. صحيك ولا لأ؟وفيه 40 محطنية مش الأربعين
+
+296
+00:22:13,570 --> 00:22:17,330
+معطية و نشتغل بحاجة فيها هه لأ فاكر فيها و لا حاجة
+
+297
+00:22:17,330 --> 00:22:22,790
+هذه 40 نيوتم هلجيت الزرجة قاعدة على الطاولة إذا
+
+298
+00:22:22,790 --> 00:22:25,970
+الملامي سلاس اطلع معناته في عنده قوتين in و
+
+299
+00:22:25,970 --> 00:22:33,850
+friction نبدأ في ال inصح؟ فى احتكاك بين الزرجة
+
+300
+00:22:33,850 --> 00:22:38,730
+والطاولة ولا لأ؟ فى احتكاك بتكون هيك من هنا
+
+301
+00:22:38,730 --> 00:22:45,050
+التلامس عكس تجاه الحركة أفكى صحيح
+
+302
+00:22:45,050 --> 00:22:50,830
+هيك ولا لأ؟ طيب بس هي ملابسة الطاولة و بس؟ ملابسة
+
+303
+00:22:50,830 --> 00:22:55,530
+الفجانية يعني بس فى أن و أف طيب فى أن و في أف كيف
+
+304
+00:22:55,530 --> 00:22:56,190
+ترسمها؟
+
+305
+00:23:08,170 --> 00:23:17,570
+كيف يعني؟ يعني أعمل هيك؟ طب إيش هعطيها؟ and برضه؟
+
+306
+00:23:17,570 --> 00:23:22,710
+and شرط، خليني أسميها، بعدين بيشوف هذه قوة ضغط
+
+307
+00:23:22,710 --> 00:23:27,070
+الإتنين على الخمسة صح ولا لأ؟ طيب، و جالت قوة
+
+308
+00:23:27,070 --> 00:23:34,190
+احتكاك استاتيكية نفس الاتجاه نفس الاتجاه نفس
+
+309
+00:23:34,190 --> 00:23:37,090
+الاتجاه نفس الاتجاه نفس الاتجاه نفس الاتجاه نفس
+
+310
+00:23:37,090 --> 00:23:37,710
+الاتجاه نفس الاتجاه نفس الاتجاه نفس الاتجاه نفس
+
+311
+00:23:37,710 --> 00:23:37,750
+الاتجاه نفس الاتجاه نفس الاتجاه نفس الاتجاه نفس
+
+312
+00:23:37,750 --> 00:23:37,750
+الاتجاه نفس الاتجاه نفس الاتجاه نفس الاتجاه نفس
+
+313
+00:23:37,750 --> 00:23:38,460
+الاتجاه نفس الاتجاه نفس الاتجاه نفس الاتجاههو ايش
+
+314
+00:23:38,460 --> 00:23:42,720
+قاللي؟ قاللي تنتين على وشك الانزلاق لما أنا رجعت
+
+315
+00:23:42,720 --> 00:23:49,040
+هدول شفاهم هل الصمرة على المحاية ال remote على
+
+316
+00:23:49,040 --> 00:23:54,460
+المحاية في انزلاق بينهم؟ لأ، يعني الصمرة بالنسبة
+
+317
+00:23:54,460 --> 00:24:00,080
+للمحاية أستاتيك ولا لأ؟ صح ولا لأ؟ الصمرة بالنسبة
+
+318
+00:24:00,080 --> 00:24:04,140
+للمحاية أستاتيك ولا مش أستاتيك؟ اذا أقول أس ولا
+
+319
+00:24:04,140 --> 00:24:05,740
+أفكي؟ أس
+
+320
+00:24:08,330 --> 00:24:12,450
+و اكتشف هاي سطحين طول ما هم هيك ومشيين بيقول أفأس
+
+321
+00:24:12,450 --> 00:24:16,710
+لإن ما يصير هيك فيهم ساعتها بيصير أفكار اتنين هدول
+
+322
+00:24:16,710 --> 00:24:21,990
+اللي بنمسيهم مع بعض فين اللي صار؟ بيقولك in the
+
+323
+00:24:21,990 --> 00:24:24,490
+verge of slipping لسه ماصارش slipping على وشك
+
+324
+00:24:24,490 --> 00:24:30,170
+الانزلاق، ماصارش انزلاق؟ على وشكك؟ على وشكك؟ كلمة
+
+325
+00:24:30,170 --> 00:24:34,390
+على وشكك ماصارش يعني إيش معناته؟ لهاب إن هذه اللي
+
+326
+00:24:34,390 --> 00:24:39,450
+على وشكك متن يوتناللي ساحف فيها أنا مية واحد
+
+327
+00:24:39,450 --> 00:24:42,210
+بتخليها sleeping لكن مية بتخليهاش sleeping همتى
+
+328
+00:24:42,210 --> 00:24:46,750
+عليها؟ يعني طب التسعين مافيش sleeping بالمرة المية
+
+329
+00:24:46,750 --> 00:24:52,950
+زادت على وشك لكن انزلقت؟ لا، ماانزلقتش هي in the
+
+330
+00:24:52,950 --> 00:24:57,530
+verge of sleeping قولوا على وشك لكن ماصدتش تمام؟
+
+331
+00:24:57,530 --> 00:25:01,770
+زي والله الحابب على وشك أنه نقطع لكن مانقطعش زودنا
+
+332
+00:25:01,770 --> 00:25:06,740
+كم من يوتين بنقطع لكن مانقطعش من الساعة غيرهاهي
+
+333
+00:25:06,740 --> 00:25:20,120
+انهي و احكي فجأة ان شرطة ان شرطة ان شرطة
+
+334
+00:25:20,120 --> 00:25:21,760
+ان شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان
+
+335
+00:25:21,760 --> 00:25:21,900
+شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان
+
+336
+00:25:21,900 --> 00:25:21,900
+شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان
+
+337
+00:25:21,900 --> 00:25:22,520
+شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان
+
+338
+00:25:22,520 --> 00:25:23,080
+شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان
+
+339
+00:25:23,080 --> 00:25:23,080
+شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان شرطة ان
+
+340
+00:25:23,080 --> 00:25:27,340
+شرطة ان شرطة
+
+341
+00:25:27,340 --> 00:25:33,180
+ان شرطةمن تلابس سطحين هي قوة السطح عالجسم اللي
+
+342
+00:25:33,180 --> 00:25:37,980
+قاعد عليه قوة السطح عالجسم اللي قاعد عليه صحيح ولا
+
+343
+00:25:37,980 --> 00:25:43,200
+لأ هلجيت إن هذه في ع المحاية إيه من الطاولة إذا
+
+344
+00:25:43,200 --> 00:25:47,560
+هذه قوة إيش علاش قوة الطاولة عالمحاية قوة السطح
+
+345
+00:25:47,560 --> 00:25:51,000
+عالمحاية اللي قاعد عليه صحيح ولا لأ يعني هاي أن
+
+346
+00:25:51,000 --> 00:25:55,700
+شرطة قوة ال .. ال .. ال .. نيرجرام على الخمسة برا
+
+347
+00:25:55,700 --> 00:26:01,610
+عليكي هيكي منيحيأه يعني بالمعنى أخر لو الخمسة هذه
+
+348
+00:26:01,610 --> 00:26:06,570
+بتحس بتقول أخي راسي ولا لأ من التنين هذه أخي راسي
+
+349
+00:26:06,570 --> 00:26:10,650
+عبارة عن قوة كيف هذا معناته حطبقت عليها صحيح ولا
+
+350
+00:26:10,650 --> 00:26:21,390
+لأ غيره طيب أكمل بدنا نشوف التنين نمحيها هذه خليها
+
+351
+00:26:21,390 --> 00:26:25,510
+حلوة هيك سارة هذه
+
+352
+00:26:25,510 --> 00:26:36,290
+التنينإيش في هنا؟ اتنين G صحيك ولا لأ؟ طيب، أحط
+
+353
+00:26:36,290 --> 00:26:41,510
+أربعين Newt؟ لأ طيب
+
+354
+00:26:41,510 --> 00:26:48,490
+سؤالي الآن، ذكرين الخزانة؟ مين حرك الخزانة؟ ومين
+
+355
+00:26:48,490 --> 00:26:53,660
+حرك الاتنين؟هي بالظبط الخزانة صارت هي اتنين والشحن
+
+356
+00:26:53,660 --> 00:26:58,420
+هي الخمسة إذا منين حركت الاتنين؟ قوة الاحتكار طب
+
+357
+00:26:58,420 --> 00:27:08,940
+وين بدو حركها؟ طيب مقدر أقول هادي طلعوا
+
+358
+00:27:08,940 --> 00:27:15,780
+هادي وهادي شبابهم هدول فعلوا رد فعل هي انك مت تالت
+
+359
+00:27:15,780 --> 00:27:23,670
+اشتغلهذه ليست نتيجة احتكاك التنين على الخمسة وهذه
+
+360
+00:27:23,670 --> 00:27:27,650
+ليست نتيجة احتكاك الخمسة على التنين إذن فعل ورد
+
+361
+00:27:27,650 --> 00:27:34,910
+فعل تمام؟ حلو؟ انت تعالى، ماهو هذا اللي قلتيه
+
+362
+00:27:34,910 --> 00:27:40,970
+تتوين؟ اشقوتش عايش براو
+
+363
+00:27:40,970 --> 00:27:45,450
+عليك، انتي تتردش بقول معناته؟خمسة على اتنين في قوة
+
+364
+00:27:45,450 --> 00:27:49,610
+ولا لأ؟ مساويها في المقدار يعني اي شرطة ومضاد لها
+
+365
+00:27:49,610 --> 00:27:54,130
+هدى لتحت هدى بتشمل قوة لفا لفا لفا لفا لفا لفا لفا
+
+366
+00:27:54,130 --> 00:27:54,150
+لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا
+
+367
+00:27:54,150 --> 00:27:54,450
+لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا
+
+368
+00:27:54,450 --> 00:28:00,850
+لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا
+
+369
+00:28:00,850 --> 00:28:01,630
+لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا لفا
+
+370
+00:28:01,630 --> 00:28:05,110
+لفا لفا
+
+371
+00:28:05,110 --> 00:28:06,990
+لفا ل
+
+372
+00:28:11,160 --> 00:28:14,860
+نرجع للخزانة الخزانة الميحة والشاحن موجود في
+
+373
+00:28:14,860 --> 00:28:19,480
+قمعونا عشان نتفهمها بدل جعلها هلجيت الخزانة محطوطة
+
+374
+00:28:19,480 --> 00:28:22,340
+في الشاحن؟ وين دارك انت؟ وين ساكنها؟ في جبالة في
+
+375
+00:28:22,340 --> 00:28:26,260
+جبالة؟ حلو ومنيح طالع من الجامعة، بتروح الشمال
+
+376
+00:28:26,260 --> 00:28:29,720
+عشان تروح الجبالية حلو؟ مركّب على الخزانة تمام، هو
+
+377
+00:28:29,720 --> 00:28:35,390
+راحك، قولك الخزانة حطوه عرفه؟ هو ايه؟برو عليك إذا
+
+378
+00:28:35,390 --> 00:28:40,470
+عشان توصلها ع جباليا القوة لازم تكون كيف اتجاهها؟
+
+379
+00:28:40,470 --> 00:28:44,130
+ع جباليا، مظبوط ولا لا؟ إذا قوة الاحتكاك، احنا
+
+380
+00:28:44,130 --> 00:28:46,670
+اتفقنا قوة الاحتكاك هي المسؤولة لازم تكون اتجاهها
+
+381
+00:28:46,670 --> 00:28:51,810
+باتجاه الجباليا، خلصنا؟ شفت؟ زبطت معايا الخزانة،
+
+382
+00:28:51,810 --> 00:28:56,650
+تمام، ركبت، نرجع، مازبطش معاكي، اوديك يا عبد
+
+383
+00:28:56,650 --> 00:29:04,360
+الحنون، تظبط معاكي؟ وحد عايش هو يعني إيه؟قوة وحيدة
+
+384
+00:29:04,360 --> 00:29:08,060
+هي مسئولة عن الحركة، قوة وحيدة، فيه هنا قوة أفقية
+
+385
+00:29:08,060 --> 00:29:12,660
+غيرها؟ فيه؟ هل جيت القوة هذه، أنا بدي أودي الجسم
+
+386
+00:29:12,660 --> 00:29:17,860
+شمال، وقوة الوحيدة، وين لازم تكون؟ شمال، غرب، غرب،
+
+387
+00:29:17,860 --> 00:29:20,840
+صحيح؟ مافيش غيرها أصلا، لأنه لازم القوة تكون
+
+388
+00:29:20,840 --> 00:29:24,420
+بالتجارة الحركة، في الآخر القوة الكلية لازم تكون
+
+389
+00:29:24,420 --> 00:29:28,280
+بالتجارة الحركة، وهجيت أنا، بتبع، بقول، إيش هدول
+
+390
+00:29:28,280 --> 00:29:33,060
+جرايب؟ بقولوا، والله جرايب هدول، فعله رد فعل،مظبوط
+
+391
+00:29:33,060 --> 00:29:36,500
+ولا لا؟ هدول فعل ورد فعل، مساوي له في المقدار
+
+392
+00:29:36,500 --> 00:29:40,280
+ومضاد له في الاتجاه وهادي وهادي برضه قرايب، فعل
+
+393
+00:29:40,280 --> 00:29:45,910
+ورد فعل، هادي لفوق وهادي لتحتصحيح؟ يعني زي لما
+
+394
+00:29:45,910 --> 00:29:49,030
+نرجع .. و أين محايتي أنا؟ نرجع للمحاية و نقول في
+
+395
+00:29:49,030 --> 00:29:52,390
+إيه إيه على المحاية؟ طب للطاولة عليها قوة من
+
+396
+00:29:52,390 --> 00:29:56,970
+المحاية؟ أه .. كيف تجاهها؟ نصف .. عشان أقول فعل و
+
+397
+00:29:56,970 --> 00:30:00,530
+لا أتفهم؟ بالظبط .. قوة المحاية .. لو بدي أجرسم
+
+398
+00:30:00,530 --> 00:30:03,730
+فيها بدي دياجرام للطاولة، بدي أقول فيه قوة من
+
+399
+00:30:03,730 --> 00:30:11,130
+المحاية على الطاولة؟ صح ولا لا؟ غيرهم عيدهم
+
+400
+00:30:11,130 --> 00:30:14,190
+بالرسم هالجيل، بعد إذا اقتنعنا باللي موجود هناك
+
+401
+00:30:24,170 --> 00:30:28,650
+هذه الخمسة بقول هذه خمسة جي أمين هذه ما حد مختلف
+
+402
+00:30:28,650 --> 00:30:32,790
+عليها صحيح ولا لأ؟ وهذه أربعين مش جميلتي هم يديني
+
+403
+00:30:32,790 --> 00:30:38,360
+إيها جاهزة حطيتهاهجيت خمسة محطوطة على طاولة قال لي
+
+404
+00:30:38,360 --> 00:30:43,800
+إذا في قوة احتكاك دينامكية لأن الخمسة بتمشي على
+
+405
+00:30:43,800 --> 00:30:49,960
+الطاولة تمشي يعني في انزلاق أكيد إذا أفكي قطعا
+
+406
+00:30:49,960 --> 00:30:53,720
+تمام؟ وقال لي والله وقعدت على طاولة إذا الطاولة
+
+407
+00:30:53,720 --> 00:30:59,190
+بتأثر على الخمسة الأعلى وسميتها N1 تمام؟الان جالي
+
+408
+00:30:59,190 --> 00:31:03,670
+والتانين هذه مشكلتها مشكلة، هي وجودها وعدم وجودها
+
+409
+00:31:03,670 --> 00:31:09,070
+واحد يعني؟ مش صحيح، وجودها بعيق ولا بعيقش؟ بعيق،
+
+410
+00:31:09,070 --> 00:31:13,950
+اذا بعيق معناته في عندي قوة احتكاك لأسفل، بضغط،
+
+411
+00:31:13,950 --> 00:31:17,850
+وبعيق أفأس،
+
+412
+00:31:17,850 --> 00:31:22,090
+اذا هذا تأثير القوة اللي فوقالكتلة اللي فوق sorry
+
+413
+00:31:22,090 --> 00:31:26,170
+تمام؟ الكتلة اللي فوق اللي بدها تسألك يسأل بصوت
+
+414
+00:31:26,170 --> 00:31:29,870
+عالي عشان غير هي استفيد عشان السؤال اللي في جلبها
+
+415
+00:31:29,870 --> 00:31:34,370
+أكيد في جلب أكتر من واحدة زيها أكيد هو قطعة فما
+
+416
+00:31:34,370 --> 00:31:39,570
+تخجلوش اسأله هاي التانية قولنا تانية جيه مدهش
+
+417
+00:31:39,570 --> 00:31:46,000
+يجميلي تحدا صحيح ولا لأ؟ تمام ضايل إشي قولنا لألو
+
+418
+00:31:46,000 --> 00:31:51,040
+جينا احنا وياكم نفكر، نقول FS هذه ناتجة من احتكاك
+
+419
+00:31:51,040 --> 00:31:54,740
+التنين مع الخمسة ولا لأ؟ صح ولا لأ؟ ناتجة من
+
+420
+00:31:54,740 --> 00:31:57,760
+احتكاك التنين على الخمسة، إذا قطعا زي ما التنين
+
+421
+00:31:57,760 --> 00:32:00,760
+عثرت على الخمسة، الخمسة بتأثر على التنين، بس بهذا
+
+422
+00:32:00,760 --> 00:32:08,020
+المفهوم البسيط، FS هذهوإن الاتنين هذه ناتجة من
+
+423
+00:32:08,020 --> 00:32:12,140
+وجود الاتنين فوق الخمسة صح ولا لأ؟ إذا زي ما حكيتي
+
+424
+00:32:12,140 --> 00:32:16,760
+أنت أث أس هي قوة الاتنين على الخمسة وإن هي قوة
+
+425
+00:32:16,760 --> 00:32:20,200
+الاتنين على الخمسة إذا الـNewton التالت بيقول يلي
+
+426
+00:32:20,200 --> 00:32:25,480
+كل فعل ردفع المساوي له مقدارا ومضاد له بالاتجاه زي
+
+427
+00:32:25,480 --> 00:32:29,940
+ما الاتنين أثرت على الخمسة بأث أس بدها تأثر الخمسة
+
+428
+00:32:29,940 --> 00:32:34,200
+على الاتنين بأث أس بس معاكس له اتجاها فصارت عندي
+
+429
+00:32:34,850 --> 00:32:41,690
+High Fs وزي ما التنين عثرت على الخمسة إلى أسفل بأن
+
+430
+00:32:41,690 --> 00:32:46,870
+تنين الخمسة هتأثر على التنين بأن تنين نفس الرمز
+
+431
+00:32:46,870 --> 00:32:50,270
+لأنه مساوي له في المقدار ومعاكس له بالاتجاه الأعلى
+
+432
+00:32:50,270 --> 00:32:55,130
+هاي كمان مرة رسمناها وكمان مرة بجسدنا واشوف مين
+
+433
+00:32:55,130 --> 00:33:00,930
+بده يسأل في أي قوة مغلباكم نلغيهااللي مش عاجبكم
+
+434
+00:33:00,930 --> 00:33:09,750
+بنلاقيه، احكي الـ
+
+435
+00:33:09,750 --> 00:33:14,630
+10 مع بعض
+
+436
+00:33:14,630 --> 00:33:18,450
+هو ايش مطلوب التاني في السؤال؟ ثاني ثاني خليها،
+
+437
+00:33:18,450 --> 00:33:20,610
+السؤالها جيد، ايش هو مطلوب التاني في السؤال؟
+
+438
+00:33:26,500 --> 00:33:29,240
+أو بيدفع أن نحطهم مع بعض بالـ two it's a clean
+
+439
+00:33:29,240 --> 00:33:32,100
+contact process اللي قلناها بقى احنا بنأسس الشغل
+
+440
+00:33:32,100 --> 00:33:35,420
+عشان يظبط في كل حاجة، احكي الأفقس هدف السنسيكي
+
+441
+00:33:35,420 --> 00:33:38,340
+فليش عملنا اتجاهه؟ و امين في التحت ولا فوق؟ لا،
+
+442
+00:33:38,340 --> 00:33:43,200
+الأول، التاني على الفقارة الأولى، حلو، التانين،
+
+443
+00:33:43,200 --> 00:33:47,780
+وجودها بعيق ولا بساعد؟ بمانع، بمانع، بمانع، بمانع،
+
+444
+00:33:47,780 --> 00:33:49,180
+بمانع، بمانع، بمانع، بمانع، بمانع، بمانع، بمانع،
+
+445
+00:33:49,180 --> 00:33:54,860
+بمانع، بمانع، بمانع، بمانع، بمانع، بمانع، بمانع، ب
+
+446
+00:33:57,150 --> 00:34:02,350
+هذه .. هذه عكس هذه لكن هجت هذه انت عندك الرسم
+
+447
+00:34:02,350 --> 00:34:06,190
+التاني تاني من فوق بعيد مظبوط لأن هذه تمشي هيك
+
+448
+00:34:06,190 --> 00:34:10,890
+وصلت انصرات هذه اين بتروح بتروح على انصرات برضه
+
+449
+00:34:10,890 --> 00:34:13,990
+انصرات هيك ولا هيك ولا هذه انصرات هنا وهذه انصرات
+
+450
+00:34:13,990 --> 00:34:19,410
+هيك لأ إذن المنطق بيقول إن هذه القوة المسؤولة على
+
+451
+00:34:19,410 --> 00:34:24,030
+حركتها لازم تكون هذه الاتجاه ولا بيشوذ يعينكغيره؟
+
+452
+00:34:24,030 --> 00:34:28,410
+أفكى .. أفكى هذه سهلة؟ أفكى عكس الحركة؟ لأ عارفة
+
+453
+00:34:28,410 --> 00:34:31,530
+بس ليش نصارى الهاتز زي نيوتن اتنان اثرت على نيوتن
+
+454
+00:34:31,530 --> 00:34:34,490
+اتنان اتنان؟ براو عالمين هي أفكى من وين؟ إيش على
+
+455
+00:34:34,490 --> 00:34:38,390
+إيش؟ طبعا على ال .. قوت إيش على إيش؟
+
+456
+00:34:41,410 --> 00:34:45,490
+طاولة على الخمسة إذاً الـ Nutri تالت ماذا يقول؟
+
+457
+00:34:45,490 --> 00:34:48,610
+خمسة على الطاولة أنا أرسل نصيبة دي جرام للطاولة؟
+
+458
+00:34:48,610 --> 00:34:52,090
+ماليك دعوة فيها إذاً الـ Nutri تالت موجود لكن أنا
+
+459
+00:34:52,090 --> 00:34:55,030
+بشغلس على الطاولة لو بدي أعمل free body diagram
+
+460
+00:34:55,030 --> 00:34:58,050
+للطاولة هتلاقي أفكير راحة على الطاولة بالتجاه
+
+461
+00:34:58,050 --> 00:35:04,890
+المعاكس غيرها كمان
+
+462
+00:35:04,890 --> 00:35:11,940
+مرة أسأله بصوت عالي تتواشوش مع بعضعشان تكسبوا ثوات
+
+463
+00:35:11,940 --> 00:35:16,700
+انه اشتغل غيركم بيستفيد منها بدل ما انتوا صاحبيتك
+
+464
+00:35:16,700 --> 00:35:22,400
+والله يعلم اترد عليك صح ولا غلط تمام اين هضبطهم؟
+
+465
+00:35:22,400 --> 00:35:25,780
+هدول مالهم؟ هدول فعل ورد فعل اللي بلعبوا قاعدين
+
+466
+00:35:25,780 --> 00:35:32,360
+فعل ورد فعل وهدول برضه فعل ورد فعل دخلت المعلومة
+
+467
+00:35:32,360 --> 00:35:37,160
+صح؟ دخلت طيب الحمد لله بس تسكروا عليه عشان ماتطلش
+
+468
+00:35:37,160 --> 00:35:38,060
+تمام
+
+469
+00:35:41,200 --> 00:35:44,080
+أهالي جيت بعد كده بيقوللي خلصت .. شوفوا عشان قديش
+
+470
+00:35:44,080 --> 00:35:46,720
+أهميتي اللي في body diagram بعد كده بيبقى طالع
+
+471
+00:35:46,720 --> 00:35:50,000
+تغلطوا .. مافيش مجال .. خلاص انتوا .. في حد هاجد
+
+472
+00:35:50,000 --> 00:35:53,000
+بيغلطش .. هو الصيني و هو الصادق .. خلاص .. تحت كام
+
+473
+00:35:53,000 --> 00:35:56,260
+واحدة صينية .. في واحد اللي يكون ساكران .. نقول
+
+474
+00:35:56,260 --> 00:35:58,840
+اتنين اتنين اتنين صاروا صينيات .. مستحيل .. لأنه
+
+475
+00:35:58,840 --> 00:36:01,060
+مافيش غيرها .. خلاص أتسابر الصح .. ولا بيحط اللي
+
+476
+00:36:01,060 --> 00:36:03,400
+أفكي .. ناقص .. مش عارف أيه .. اللي هو يجيبها ..
+
+477
+00:36:03,400 --> 00:36:08,680
+اللي هو اللي يغلط .. تمام؟بيقول لي we have in the
+
+478
+00:36:08,680 --> 00:36:12,600
+x-axis بقى ابدع التنين أسفل طبعا لما أبدع التنين
+
+479
+00:36:12,600 --> 00:36:15,700
+ماليش دعوة في هادي ولا أي دعوة في الرسم الأولى
+
+480
+00:36:15,700 --> 00:36:19,620
+دعوة في هادي و بس فقط عشان كده أنا برسم في ال body
+
+481
+00:36:19,620 --> 00:36:23,260
+diagram عشان أبدأ أشغل صح جالي in the x-axis أكم
+
+482
+00:36:23,260 --> 00:36:28,120
+قوة فيه الهي Fs بيساوي التنين ايه قاللي قطع شجة
+
+483
+00:36:28,120 --> 00:36:33,260
+قطع شجة and in the y-axis وانها دي ليش انت ضيّعها
+
+484
+00:36:33,260 --> 00:36:35,200
+دي كانت تلعب و احنا لعبناها و بعدين
+
+485
+00:36:41,870 --> 00:36:46,870
+تمام ان اتنين نقص اتنين جي بتساوي ام ايه و بتساوي
+
+486
+00:36:46,870 --> 00:36:51,770
+سفر مافيش حركة عمودية هتخلصنا منها الجثة طيب جالي
+
+487
+00:36:51,770 --> 00:36:55,350
+إذا هاي ان اتنين جي تلزم تلزم مش بعدين بيشوفها
+
+488
+00:36:55,350 --> 00:36:59,630
+جهزناها جمع معادلة أنا بصفت معادلات فيزيائية عشان
+
+489
+00:36:59,630 --> 00:37:03,830
+أجمع علامات و بعد كده الشغل اللي بيضل مش مشكلة أما
+
+490
+00:37:03,830 --> 00:37:07,490
+هنا شغلت و طلعت معايا جالي خلاص من بتاعي هجيه تطلع
+
+491
+00:37:07,490 --> 00:37:12,200
+فوقبيعقوا شويه أكتر من القوة فيه كم قوة سنية فوق؟
+
+492
+00:37:12,200 --> 00:37:18,560
+تلاتة تلاتة؟ واحدة موجبة؟ انت مالكيش دعوة، ماتخفيش
+
+493
+00:37:18,560 --> 00:37:22,820
+انه تلاتة، عشان أبقى أربعة، اكتبوا جالي أربعين،
+
+494
+00:37:22,820 --> 00:37:27,100
+ناقص FK، ناقص FS بسوء خمسة A، في مشكلة؟ لأ، حطها
+
+495
+00:37:27,100 --> 00:37:30,820
+المعادلة ال
+
+496
+00:37:30,820 --> 00:37:38,760
+Y جالي عن اتنين، وين راحت؟ هي فوق، أه هنا، صحإذا
+
+497
+00:37:38,760 --> 00:37:42,960
+قال لي N واحد نقص N اتنين نقص خمسة G واحدة إلى
+
+498
+00:37:42,960 --> 00:37:47,420
+أعلى وانتي اللي أسفل بتساوي Zero قال لي طيب مش N
+
+499
+00:37:47,420 --> 00:37:51,880
+واحد انت N اتنين عرفتها و الخمسة و G عرفها طلعت N
+
+500
+00:37:51,880 --> 00:37:57,540
+واحد طلعت معايا N واحد حلو إذا اللي عشان تجيب قال
+
+501
+00:37:57,540 --> 00:38:01,340
+لي والله هذه قانونها عشان قال لي N the bird of
+
+502
+00:38:01,340 --> 00:38:07,830
+sleeping بتساوي 100 و أس في ال N حاجة FS هذهمش Fs
+
+503
+00:38:07,830 --> 00:38:10,850
+بقولنا أقل أو تساوي ميو أس في الان وقت إيش بجيه
+
+504
+00:38:10,850 --> 00:38:15,010
+لهذه وخليها تساوي لما يقول على وشك لما يقول على
+
+505
+00:38:15,010 --> 00:38:17,990
+وشك إذا انجلي على وشك إذا أنا جيت بقدر أقول Fs
+
+506
+00:38:17,990 --> 00:38:23,070
+بتساوي ميو أس في الان والله أنا حافظ القانون
+
+507
+00:38:23,070 --> 00:38:27,290
+وكتبته اتطلعت طب إيش أعمل؟ والله هذا ملخم هذي شو
+
+508
+00:38:27,290 --> 00:38:30,270
+أفصل على هذا؟ ان واحد ولا ان اتنين؟ ولا أخد
+
+509
+00:38:30,270 --> 00:38:36,680
+المتواصل؟ بدي أشوف؟هي أفقس .. بنفهش .. السن شوية
+
+510
+00:38:36,680 --> 00:38:41,660
+أفقس بين مين ومين إذن معناته أن هي من كتلة على
+
+511
+00:38:41,660 --> 00:38:48,060
+كتلة إن هي عن واحدة لأن اتنين عن اتنين .. أن اتنين
+
+512
+00:38:48,060 --> 00:38:54,480
+.. إذن هذه أن اتنين لأن أفقس هي قوة الاحتكاك بين
+
+513
+00:38:54,480 --> 00:38:58,680
+السطحين إذن بالـDNA تبعد سطح على سطح مش مناسبة
+
+514
+00:38:58,680 --> 00:39:00,780
+عينة بيبقى في الطاولة صح ولا لأ؟
+
+515
+00:39:03,730 --> 00:39:08,530
+أحكي إنجليزي إن كانت تظبط معاكي هجيت مش هقولنا Fs
+
+516
+00:39:08,530 --> 00:39:12,670
+تفهمها تساوي Nu S في ال N أيام أول ما قولنا ال N
+
+517
+00:39:12,670 --> 00:39:16,550
+قولنا ال N هي ال N تبعت السطح على الجسم صح السطح
+
+518
+00:39:16,550 --> 00:39:22,690
+على الجسم هجيت Fs إيش على إيش أي سطحالخمسة والتنين
+
+519
+00:39:22,690 --> 00:39:25,570
+اذا بدي N تبعت الخمسة على التنين او التنين على
+
+520
+00:39:25,570 --> 00:39:28,350
+الخمسة واحد نتنين بس بيبقى بيبقى بيبقى بيبقى بيبقى
+
+521
+00:39:28,350 --> 00:39:30,430
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+522
+00:39:30,430 --> 00:39:30,550
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+523
+00:39:30,550 --> 00:39:30,550
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+524
+00:39:30,550 --> 00:39:41,390
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+525
+00:39:41,390 --> 00:39:46,760
+ببسوى New K في أي أنواع؟ في أن واحد لأنه بين
+
+526
+00:39:46,760 --> 00:39:51,820
+الطعام و .. سهل العملية تمام؟ إذن الآن بيقوللي
+
+527
+00:39:51,820 --> 00:39:56,300
+adding equation one and equation three طبعا شغل
+
+528
+00:39:56,300 --> 00:40:01,720
+رياضيات بيقوللي لو جمعت واحد و تلاتة تفتح من FS لو
+
+529
+00:40:01,720 --> 00:40:06,240
+جمعت واحد و تلاتة بتفتح من FS تطلع عندك اربعين
+
+530
+00:40:06,240 --> 00:40:11,670
+ناقص FK بسوى سبعة ايه؟و FK بيسوي ميو كي في ال N1
+
+531
+00:40:11,670 --> 00:40:19,350
+صحيح؟ عوضت محال ال FK و N1 بتعرفها؟ طلعت عندك ال
+
+532
+00:40:19,350 --> 00:40:24,150
+acceleration انتوا
+
+533
+00:40:24,150 --> 00:40:29,330
+جمعول هالمعادلات هدول المعادلات تلحقلهم تسعة او
+
+534
+00:40:29,330 --> 00:40:32,650
+تمانية من العشرة تاخدوا و بيظل هي الشغل هي ال gate
+
+535
+00:40:32,650 --> 00:40:35,810
+اللي بنشتغله عشان نجيب العشرة كاملة تمام
+
+536
+00:40:37,780 --> 00:40:41,820
+Substituting for A in equation 1 هبقى ترجع هنا قال
+
+537
+00:40:41,820 --> 00:40:47,500
+لي صار عندك Fs بيساوي 2A و Fs بيساوي ميو أس في
+
+538
+00:40:47,500 --> 00:40:53,920
+الانتنين فميو أس بيساوي Fs على انتنين طلعت 0.38
+
+539
+00:40:53,920 --> 00:40:58,120
+المطلوب التاني من السؤال كان بده معامل احتكاك
+
+540
+00:40:58,120 --> 00:41:02,560
+لستاتيكي ما بين ال two surfaces هيك بنكون حلين
+
+541
+00:41:02,560 --> 00:41:07,390
+السؤالوبنكون خلصنا الشابطة
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/UkA2uS6hZSM_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/UkA2uS6hZSM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..509163256f664a8644903365a5b2e0584e675134
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/UkA2uS6hZSM_postprocess.srt
@@ -0,0 +1,1300 @@
+1
+00:00:21,020 --> 00:00:24,020
+بنراجع الـ scalar product بسرعة اللي أخدنا
+
+2
+00:00:24,020 --> 00:00:29,700
+المراهدين على الـ capital point اللي هو احنا خدنا
+
+3
+00:00:29,700 --> 00:00:34,120
+multiplication of a vector by a scalar و ال scalar
+
+4
+00:00:34,120 --> 00:00:38,540
+product بالنسبة multiplying a vector by a scalar
+
+5
+00:00:38,540 --> 00:00:41,480
+بيقولوا لو كان في حد lambda is a scalar و a is a
+
+6
+00:00:41,480 --> 00:00:44,720
+vector المعنى هو أن lambda تدخل على كل ال
+
+7
+00:00:44,720 --> 00:00:49,910
+components تبع ال vector و اتفقنا أن لامبدا في aهو
+
+8
+00:00:49,910 --> 00:00:52,710
+vector له نفس ال direction إذا كانت لمبة positive،
+
+9
+00:00:52,710 --> 00:00:54,970
+أما إذا كانت نية جديدة، بتصير ال direction معقوظ،
+
+10
+00:00:54,970 --> 00:01:00,010
+حد اللي سافقنا عليه، تمام؟ بعد كده حكينا عن ال
+
+11
+00:01:00,010 --> 00:01:03,330
+scalar product أو ال dot product، وكل اسم له
+
+12
+00:01:03,330 --> 00:01:07,320
+معناه، ليش تسمى هيك وليش تسمى هيكوقلنا ان الـ
+
+13
+00:01:07,320 --> 00:01:11,980
+scalar of two vectors A and B united by A dot B
+
+14
+00:01:11,980 --> 00:01:18,000
+يعني يُرمز إله بالرمز A dot B is a scalar وهي الـ
+
+15
+00:01:18,000 --> 00:01:21,520
+scalar حطيناها بالأحمر عشان أهميتها واتفقنا على
+
+16
+00:01:21,520 --> 00:01:26,520
+أنه مش مسموح الغلط في هذه الأمور quantity defined
+
+17
+00:01:26,520 --> 00:01:31,080
+by A dot B equal A في B في كسايم الزاوية اللي بين
+
+18
+00:01:31,080 --> 00:01:36,820
+A وB تمام؟ وبناء على ذلكWhere θ is the smallest
+
+19
+00:01:36,820 --> 00:01:40,620
+angle between the two vectors بناء على ذلك بنعرف
+
+20
+00:01:40,620 --> 00:01:46,040
+أن I وJ وK هم ثلاثة عضلات محددة بمعنى آخر الزاوية
+
+21
+00:01:46,040 --> 00:01:50,120
+من كل واحد وأخوه اللي جنبه يعني 90 درجة أما هو
+
+22
+00:01:50,120 --> 00:01:55,240
+ونفسه فهو 0وبالتالي لما نطبق اخر حاجة اتفقنا ان I
+
+23
+00:01:55,240 --> 00:02:00,940
+.J بيساوي 0 I.K equal to 0 او J.K بيساوي 0 ولكن I
+
+24
+00:02:00,940 --> 00:02:07,000
+.I J.J K.K بيساوي 1 هذا كله اخدناه ..بالتالي لو
+
+25
+00:02:07,000 --> 00:02:10,160
+كان في عندى two vectors و بدى اعملهم dot product
+
+26
+00:02:10,160 --> 00:02:13,940
+بين بعض و ان كأنه بدأ ضرب جوس بجوس وضربناهم مع بعض
+
+27
+00:02:13,940 --> 00:02:18,050
+بهذه الصراعه و بالتالي اعملنا الإجراء هذاصحيح ولا
+
+28
+00:02:18,050 --> 00:02:23,970
+لأ؟ و بعد كده استخدمنا هذه العلقات انه انا هذه i
+
+29
+00:02:23,970 --> 00:02:29,170
+dot ال j روحت i dot ال k روحت و j dot ال i برضه
+
+30
+00:02:29,170 --> 00:02:33,870
+zero و j dot ال k zero و k dot ال i zero و j dot
+
+31
+00:02:33,870 --> 00:02:39,130
+ال k zero دل عندي three terms تلت حدود i dot ال i
+
+32
+00:02:39,130 --> 00:02:44,360
+هذي واحد و i و j dot ال j واحدو K ضد K هو 1 فطلعت
+
+33
+00:02:44,360 --> 00:02:49,640
+عندي النتيجة النهائية أن A ضد B هي تضرب ال X
+
+34
+00:02:49,640 --> 00:02:52,640
+components مع بعض ال Y components مع بعض و ال Z
+
+35
+00:02:52,640 --> 00:02:55,920
+components مع بعض و بالآخر بتجمحهم جميع عادي و
+
+36
+00:02:55,920 --> 00:02:59,700
+بتطلع النتيجة النهائية is a scalar quantity بدون
+
+37
+00:02:59,700 --> 00:03:04,500
+أي لا I ولا J ولا K هذا اللي أخدنا المرة هذيك و
+
+38
+00:03:04,500 --> 00:03:10,220
+أخدنا الأمثلةالذي يجب أن يكون الزاوية بين الـA و
+
+39
+00:03:10,220 --> 00:03:11,660
+الـB بين الـA و الـB بين الـA و الـB بين الـA و
+
+40
+00:03:11,660 --> 00:03:13,900
+الـB بين الـB بين الـA و الـB بين الـB بين الـA و
+
+41
+00:03:13,900 --> 00:03:15,500
+الـB بين الـB بين الـA و الـB بين الـB بين الـA و
+
+42
+00:03:15,500 --> 00:03:15,580
+الـB بين الـB بين الـA و الـB بين الـA و الـB بين
+
+43
+00:03:15,580 --> 00:03:21,680
+الـB بين الـA و الـB بين الـA و الـB بين الـA و
+
+44
+00:03:21,680 --> 00:03:25,680
+الـB بين الـA و الـB بين الـA و الـB بين الـA و
+
+45
+00:03:25,680 --> 00:03:28,680
+الـB بين الـA و الـB بين الـA و الـB بين الـA و
+
+46
+00:03:28,680 --> 00:03:35,460
+الـB بين الـA و الـB بين النقص 2 في 3 نقص 6 و 3 في
+
+47
+00:03:35,460 --> 00:03:38,500
+نقص 2 نقص 6 طلع الجواب نقص 10 جيبنا ال magnitude
+
+48
+00:03:38,500 --> 00:03:42,040
+تبع ايه؟ جيبنا ال magnitude تبع بيه و بالاخر لجينا
+
+49
+00:03:42,040 --> 00:03:48,640
+ان θ equal 134 degree تمام المثال الآخر بيقول نفس
+
+50
+00:03:48,640 --> 00:03:52,100
+ال two vectors بدوا 2 a dot b و هنا وقفنا بعد ما
+
+51
+00:03:52,100 --> 00:03:56,080
+حللنا هذا المثال فقولنا أول حاجة بدي أعملها بجهة g
+
+52
+00:03:56,080 --> 00:04:01,290
+ال vector 2aوضربت الـ vector بـ scalar 2 فصارت 2I
+
+53
+00:04:01,290 --> 00:04:06,950
+minus 4G plus 6K by that dot product فصار 2 في 2
+
+54
+00:04:06,950 --> 00:04:11,330
+أبقى 4 نقص 4 في جلدها بنقص 12 و 6 في سلب 2 في سلب
+
+55
+00:04:11,330 --> 00:04:16,790
+12 جمعناهم طلعت سلب 20 واتفقنا أنه if one
+
+56
+00:04:16,790 --> 00:04:20,450
+multiplies product A dot B اللي عملته المرة ديك by
+
+57
+00:04:20,450 --> 00:04:24,830
+2 هيطلع معايا نفس الجواهر و لو ضربنا A في 2Bبرضه
+
+58
+00:04:24,830 --> 00:04:27,890
+هيطلع معانا نفس الجواب وعملناه مع بعض واتأكدنا ان
+
+59
+00:04:27,890 --> 00:04:32,830
+هذا كلام صحيح ال scale يدخل على ال a يدخل على ال b
+
+60
+00:04:32,830 --> 00:04:37,090
+يدخل على المجموع كل واحد صحيح ولا لا؟ هذا هو هنا
+
+61
+00:04:37,090 --> 00:04:44,170
+وقفنا المرة هذههذه هي النتيجة هنا في صقطة تمام
+
+62
+00:04:44,170 --> 00:04:49,650
+فكله واحد الان النوع الأخير من أنواع ال product
+
+63
+00:04:49,650 --> 00:04:55,030
+أنه انا بدي اضرب two vectors و الناتج vector فهذا
+
+64
+00:04:55,030 --> 00:04:58,230
+بيسموه ال vector product هذا scalar product وهذا
+
+65
+00:04:58,230 --> 00:05:00,610
+vector product ليه يسموه vector product؟ لأن
+
+66
+00:05:00,610 --> 00:05:06,170
+الناتج vector الناتج vector فبقولي cross product
+
+67
+00:05:06,170 --> 00:05:10,820
+عشان بديش احط نقطة بينهم احط crossالدرب عشان كده
+
+68
+00:05:10,820 --> 00:05:15,560
+يسمون cross product إذا الـ vector product of two
+
+69
+00:05:15,560 --> 00:05:22,020
+vectors a and b written as a cross b هك تقرأ هدي a
+
+70
+00:05:22,020 --> 00:05:28,400
+dot b هدي a cross b هك تقرأ تمام is a third vector
+
+71
+00:05:28,400 --> 00:05:33,280
+إذا ال vector الماتيشإن هذه فيكتور تالت A وB طلعني
+
+72
+00:05:33,280 --> 00:05:38,400
+فيكتور تالت C with a magnitude طبعا ال vector إيه
+
+73
+00:05:38,400 --> 00:05:42,080
+و إيه؟ magnitude و direction نبدأ بال magnitude
+
+74
+00:05:42,080 --> 00:05:47,560
+السهل ف A في B في صيني الزاوية طب كيف ال direction
+
+75
+00:05:47,560 --> 00:05:50,660
+أجيبه؟ هاي ال magnitude قانونه بدي أشوف ال
+
+76
+00:05:50,660 --> 00:05:53,980
+direction ال scalar productش ليه ال magnitude؟
+
+77
+00:05:53,980 --> 00:05:56,980
+لأنه scalar وبالتالي جيبنا ال magnitude و خلصناه
+
+78
+00:05:56,980 --> 00:06:01,390
+هنا بنجيب ال directionبقول الـ direction بيجيبه من
+
+79
+00:06:01,390 --> 00:06:04,770
+هذه القاعدة بيقول الـ vector C must be
+
+80
+00:06:04,770 --> 00:06:08,510
+perpendicular to both A and B هو ناتج من cross
+
+81
+00:06:08,510 --> 00:06:11,150
+product بين A و B ولا لأ فلازم يكون عمودي على
+
+82
+00:06:11,150 --> 00:06:14,650
+التينين عمودي على التينين يعني عمودي على ال A و
+
+83
+00:06:14,650 --> 00:06:19,590
+عمودي على ال B تمام؟ اذا C is perpendicular عمودي
+
+84
+00:06:19,590 --> 00:06:22,930
+او normal مرات بنسميه كلمة normal و perpendicular
+
+85
+00:06:22,930 --> 00:06:27,380
+واحدة يا بنات normal انك تشوفوهااللي هو معناها
+
+86
+00:06:27,380 --> 00:06:32,120
+التاني العادى داس برضه معناتها متعامد أو عمودي and
+
+87
+00:06:32,120 --> 00:06:36,240
+perpendicular برضه متعامد to the plane of a and b
+
+88
+00:06:36,240 --> 00:06:39,380
+عمودي على ال plane تبع a و b طبعا لما يكون عمودي
+
+89
+00:06:39,380 --> 00:06:42,180
+على ال plane يعني عمودي على a و b صحيح ولا لأ وما
+
+90
+00:06:42,180 --> 00:06:45,800
+يكون عمودي على كل plane بحسب الهندسة اللي أخدناها
+
+91
+00:06:45,800 --> 00:06:52,620
+في المدرسة يقول طيب اللوح نفترض أنه
+
+92
+00:06:55,290 --> 00:06:57,870
+يكون عموجة على اللوح، صح ولا لأ؟ طب عموجة على
+
+93
+00:06:57,870 --> 00:07:00,390
+اللوح، طب هذا عموجة على اللوح، و لا لأ؟ طب و هذا
+
+94
+00:07:00,390 --> 00:07:03,330
+عموجة على اللوح، إذا في عندى احتمالية كيف أجيبها؟
+
+95
+00:07:03,330 --> 00:07:06,690
+أي واحد فيه هو، ده اللي برضه فيه قاعدة، قاعدة إلى
+
+96
+00:07:06,690 --> 00:07:10,950
+دي اليوم ده، كيف نسويها؟ جمع أصابعك الأربعة، حطهم
+
+97
+00:07:10,950 --> 00:07:15,390
+مع الأول، اللي هو ايه؟ أصابعك الأربعة، لزجهم من
+
+98
+00:07:15,390 --> 00:07:21,470
+الأول، ولفهم بالاتجاه التاني إبهامك بتدي التالد،
+
+99
+00:07:21,470 --> 00:07:26,440
+بتديك اتجاه سيأقدر نحكيها، بس أول نقرأ اللي مكتوب
+
+100
+00:07:26,440 --> 00:07:30,940
+بيقول ليه؟ since there are two directions
+
+101
+00:07:30,940 --> 00:07:33,580
+perpendicular to a given plane لما أنه في عندى
+
+102
+00:07:33,580 --> 00:07:36,900
+احتمالين لتووجدكم إياهم، إما عليكم أو علي الواحد
+
+103
+00:07:37,650 --> 00:07:41,430
+Where the right hand rule قاعدة اليد اليمنى is
+
+104
+00:07:41,430 --> 00:07:45,290
+used to decide to which direction the vector is
+
+105
+00:07:45,290 --> 00:07:49,410
+directed طبعا كيف هذه بتنعمل الشي هذه القاعدة
+
+106
+00:07:49,410 --> 00:07:53,770
+بيقول the rule states that القاعدة تنص على التالي
+
+107
+00:07:55,710 --> 00:07:59,510
+أربع أصابع أربع أصابع أربع أصابع أربع أصابع أربع
+
+108
+00:07:59,510 --> 00:07:59,850
+أصابع أربع أصابع أربع أصابع أربع أصابع أربع أصابع
+
+109
+00:07:59,850 --> 00:08:04,770
+أربع أصابع أربع أصابع أربع أصابع أربع أصابع أربع
+
+110
+00:08:04,770 --> 00:08:08,350
+أصابع أربع أصابع أربع أصابع أربع أصابع أربع أصابع
+
+111
+00:08:08,350 --> 00:08:08,590
+أربع أصابع أربع أصابع أربع أصابع أصابع أربع أصابع
+
+112
+00:08:08,590 --> 00:08:12,770
+أصابع أصابع أصابع أصابع أصابع أصابع أصابع أصابع أص
+
+113
+00:08:12,850 --> 00:08:16,390
+Through the smaller angle and then curved toward B
+
+114
+00:08:16,390 --> 00:08:20,050
+لف باتجاه B curved لف .. لف .. لف .. لف .. لف ..
+
+115
+00:08:20,050 --> 00:08:20,630
+لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف
+
+116
+00:08:20,630 --> 00:08:20,710
+.. لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف ..
+
+117
+00:08:20,710 --> 00:08:21,010
+لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف
+
+118
+00:08:21,010 --> 00:08:22,070
+.. لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف ..
+
+119
+00:08:22,070 --> 00:08:23,310
+لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف
+
+120
+00:08:23,310 --> 00:08:23,870
+.. لف .. لف .. لف .. لف .. لف .. لف .. لف .. لف ..
+
+121
+00:08:23,870 --> 00:08:32,970
+.. لف .. لف ..
+
+122
+00:08:32,970 --> 00:08:39,130
+لف
+
+123
+00:08:39,130 --> 00:08:42,710
+..
+
+124
+00:08:42,920 --> 00:08:47,680
+في مجالي من الـ A غير ألوف فيك؟ وين ابهاني؟ عليكم
+
+125
+00:08:47,680 --> 00:08:53,220
+لكن لو .. ده حاجة اللي طب بي cross ال A كيف بتعمل؟
+
+126
+00:08:53,220 --> 00:08:57,340
+فأقوله هيها مش هقول بدي معلومه لاني؟ بدي ألف فيك
+
+127
+00:08:57,340 --> 00:09:01,560
+وين ابهاني؟انتوا مانعتوا a cross ال b و b cross ال
+
+128
+00:09:01,560 --> 00:09:06,840
+a مش زي بعض واحد عكس التاني صحيح ولا لأ؟ اذا انا
+
+129
+00:09:06,840 --> 00:09:11,600
+أصابعي الأربعة باخدهم مع الأول بلف بالتجاه التاني
+
+130
+00:09:11,600 --> 00:09:16,520
+بديكي ايه؟ بالتجاه التالت تمام؟ العملية سهلة هذا
+
+131
+00:09:16,520 --> 00:09:21,420
+هي القاعدة تبعته أصابعك الأربعة مع ال X بتروح على
+
+132
+00:09:21,420 --> 00:09:27,640
+ال Y بديكي ال Z للإبهام تمام؟عملية سهلة، في أي حد
+
+133
+00:09:27,640 --> 00:09:33,960
+عنده مشكلة، أعيدها، احكي كيف
+
+134
+00:09:33,960 --> 00:09:39,640
+يعني؟
+
+135
+00:09:39,640 --> 00:09:42,440
+مسكيه، هكذا
+
+136
+00:09:46,150 --> 00:09:49,810
+بعطيك كيف؟ هل تريد أن تلف أو لا تريد أن تلف؟ كيف؟
+
+137
+00:09:49,810 --> 00:09:54,230
+لف و أشوف، هيا لف لفت داخلك و لا تلف مع الـB هل
+
+138
+00:09:54,230 --> 00:09:58,050
+تلف عشوائي و من أين تذهب تذهب إليك؟ أو تلف مع
+
+139
+00:09:58,050 --> 00:10:00,990
+الـB؟ تذهب إلى الـB لا يمكنك أن تذهب إلى أي مكان و
+
+140
+00:10:00,990 --> 00:10:04,750
+تذهب إلى أي مكان و تذهب إلى أي مكان تذهب إلى أي
+
+141
+00:10:04,750 --> 00:10:06,150
+مكان تذهب إلى أي مكان تذهب إلى أي مكان تذهب إلى أي
+
+142
+00:10:06,150 --> 00:10:08,270
+مكان تذهب إلى أي مكان ت
+
+143
+00:10:12,070 --> 00:10:17,070
+ساعتها لو أنه باتجاه ال K بلف معه ساعتها بطلع هناك
+
+144
+00:10:17,070 --> 00:10:21,110
+أد بفرديكي اللي بتحطي عنه طبعا احنا مش هنحول
+
+145
+00:10:21,110 --> 00:10:25,170
+إيدينا كتير ناخد طريقة مختلفة بس هيك هذا القاعدة
+
+146
+00:10:25,170 --> 00:10:27,210
+الأولى اللي احنا و احنا صغار خدناها و احنا في
+
+147
+00:10:27,210 --> 00:10:31,510
+المدرسة، مظبط ولا لأ؟ هناخد فيها حاجة أحلى تمام
+
+148
+00:10:31,510 --> 00:10:38,770
+using this rule it is clear thatA x B بيساوي سالب
+
+149
+00:10:38,770 --> 00:10:45,110
+B x A توجيبت أنا وياكم A x B هيك B x A سالب إذا
+
+150
+00:10:45,110 --> 00:10:50,430
+قطعا هل بقدر أقول cross product commutative؟ لأ مش
+
+151
+00:10:50,430 --> 00:10:55,730
+تبادري صحيح ولا لأ؟ زبطت معاك؟ زبطت؟ اللي ما زبطش
+
+152
+00:10:55,730 --> 00:11:04,320
+معاه يحكي مافيش مشكلة كيف؟ هيك؟ على ال Bطب ليش مش
+
+153
+00:11:04,320 --> 00:11:08,800
+هيك شايف؟ كيف؟ هيك؟ أحلو، في حد عقرب، يكسر الخبيع
+
+154
+00:11:08,800 --> 00:11:13,700
+ويلف هيك؟ تنكسر أيضا، هيك، لفتي ما بطلت من تجاه
+
+155
+00:11:13,700 --> 00:11:18,500
+الـA، فهيك كمان مرة بدنا نلف و نعرف و نلف، أنا بدي
+
+156
+00:11:18,500 --> 00:11:23,460
+لف هيك و رايح، أنا هيك إيه؟ إيه هنا، الزاوية
+
+157
+00:11:23,460 --> 00:11:28,010
+الأصغر؟أصحى المنطقة أكتر منها. أصحى المنطقة أكتر
+
+158
+00:11:28,010 --> 00:11:28,070
+منها. أصحى المنطقة أكتر منها. أصحى المنطقة أكتر
+
+159
+00:11:28,070 --> 00:11:29,970
+منها. أصحى المنطقة أكتر منها. أصحى المنطقة أكتر
+
+160
+00:11:29,970 --> 00:11:32,170
+منها. أصحى المنطقة أكتر منها. أصحى المنطقة أكتر
+
+161
+00:11:32,170 --> 00:11:36,930
+منها. أصحى المنطقة أكتر منها. أصحى المنطقة أكتر
+
+162
+00:11:36,930 --> 00:11:45,090
+منها. أصحى المنطقة أكتر منها. أصحى المنطقة
+
+163
+00:11:45,090 --> 00:11:49,830
+أكتر منها.
+
+164
+00:11:51,090 --> 00:11:53,550
+أحنا مش عايزين نستخدمها كتير بقولنا لكم مش هنجلبكم
+
+165
+00:11:53,550 --> 00:12:00,250
+في الإيدين تمام by the same rule one can verify
+
+166
+00:12:00,250 --> 00:12:04,270
+that مش احنا قولنا a cross بي بيساوي a في بي في
+
+167
+00:12:04,270 --> 00:12:07,490
+صين الزوج اللي بينهم ال I وال I جديش الزوج اللي
+
+168
+00:12:07,490 --> 00:12:17,050
+بينهم و جديه الصين السفر؟ كلكوليته؟ سفر و أفر سفرو
+
+169
+00:12:17,050 --> 00:12:19,770
+الـ J و الـ J الزاوية اللي بينهم 0 و صيني الـ 0
+
+170
+00:12:19,770 --> 00:12:24,130
+زيرو تمام؟ إذا I cross ال I قاللي صفر و J cross ال
+
+171
+00:12:24,130 --> 00:12:29,050
+J قاللي صفر و K cross ال K صفر طيب I cross ال J
+
+172
+00:12:29,050 --> 00:12:34,180
+ماحد يقوللي واحدلأن هناك كنا بقول I ضد I واحد و J
+
+173
+00:12:34,180 --> 00:12:39,400
+ضد J واحد بس ده كان ضد ال product اما هنا I cross
+
+174
+00:12:39,400 --> 00:12:45,300
+ال J بده يطلع vector ال J متجاه ال Y I cross ال J
+
+175
+00:12:45,300 --> 00:12:51,260
+و كأنه بقول من هنا ل هنا بطلع K تمام؟ بنعمل قاعدة
+
+176
+00:12:51,260 --> 00:12:57,220
+سهلة بنعرف نقول I J K و نحطهم على رؤوس مثلك و نعمل
+
+177
+00:12:57,220 --> 00:13:03,720
+هيكبدي أدور مع قريب الساعة إذا أنا داير مع قريب
+
+178
+00:13:03,720 --> 00:13:09,740
+الساعة بطلع التالت موجببطلع التالد موجة اذا انا و
+
+179
+00:13:09,740 --> 00:13:13,120
+انا ماشي من الأول للتانى بتطلع قريب الساعة بتطلع
+
+180
+00:13:13,120 --> 00:13:18,640
+التالد سالب بمعنى I cross ال جيش بتطلع K J cross
+
+181
+00:13:18,640 --> 00:13:25,080
+ال K I K cross ال I J لكن J cross ال K sorry K
+
+182
+00:13:25,080 --> 00:13:30,040
+cross ال J K cross ال J بتطلع سالب I J cross ال I
+
+183
+00:13:30,040 --> 00:13:36,390
+سالب Kو I cross ال K ثالث جي و هكذا و أسهل لا بدى
+
+184
+00:13:36,390 --> 00:13:46,050
+أعمل إيديا ولا ألوح إيديا إذا I cross الجي كي جي
+
+185
+00:13:46,050 --> 00:13:54,070
+cross الكي I كي cross ال I جي I
+
+186
+00:13:54,070 --> 00:13:59,270
+cross الجي بديك الكي صحيح؟ لأنه مع قريب الساعة جي
+
+187
+00:13:59,270 --> 00:14:00,930
+cross الكي بديك ال I
+
+188
+00:14:03,990 --> 00:14:10,550
+تمام؟ كيكروس ال I؟ كاعدة سهلة ماعقرب الساعة ولا ضد
+
+189
+00:14:10,550 --> 00:14:13,210
+عقرب الساعة ماعقرب الساعة مجد و ضد عقرب الساعة
+
+190
+00:14:13,210 --> 00:14:16,730
+سالق و بصير بتعامل معاهم مش أسهل منهم طيب .. قولي
+
+191
+00:14:16,730 --> 00:14:22,210
+طيب إيه استخدام؟ بدي أضرب two vectors جوسب جوص زي
+
+192
+00:14:22,210 --> 00:14:25,470
+ما عملت المرة ديك بس بدي أضبط شو بدي أحط؟ cross
+
+193
+00:14:25,470 --> 00:14:27,310
+قال لي هيك سهل
+
+194
+00:14:30,430 --> 00:14:33,250
+الأول في اللي هو أول و في التاني و في التالت
+
+195
+00:14:38,830 --> 00:14:45,870
+I x I هذا في هذا I x J هذا في هذا I x K نتبعين؟
+
+196
+00:14:45,870 --> 00:14:52,350
+نجلة تانية هذا هذا في هذا J x I هذا في هذا J x J
+
+197
+00:14:52,350 --> 00:14:59,110
+هذا في هذا J x K نجلة تانية هذا K x I طبعا هذول
+
+198
+00:14:59,110 --> 00:15:07,370
+بنحطوا و هذا في هذا K x J و هذا في هذا K x Kتمام؟
+
+199
+00:15:07,370 --> 00:15:11,210
+هاللي جيت من أول .. إيش قال لي؟ إذا الكنيزة بعيد
+
+200
+00:15:11,210 --> 00:15:16,450
+.. الله سهل عليهم إيش معناته؟ بقول .. هذا روح ..
+
+201
+00:15:16,450 --> 00:15:23,270
+صح؟ و هذا روح .. و هذا روح .. إذا هدول .. بنروحهم
+
+202
+00:15:23,270 --> 00:15:28,150
+بسهولة .. هذا الله سهل عليه .. اللي دلوا قطار ..
+
+203
+00:15:28,150 --> 00:15:34,100
+واحدة واحدة بيقوللي .. I cross ال Jهنا إيش بيطلع
+
+204
+00:15:34,100 --> 00:15:40,100
+معاكم؟ K موجة؟ إذا I cross ال J طلع K، مبين ال K
+
+205
+00:15:40,100 --> 00:15:47,480
+أحمر؟ هذا K؟ طب I cross ال K، نجلوني سالب J، سالب
+
+206
+00:15:47,480 --> 00:15:56,660
+J، إذا هذا سالب J، سالب J، حلو؟ نجي هنا، J cross
+
+207
+00:15:56,660 --> 00:16:03,770
+ال I، سالب K، bravo عليكمأنا روحت أولا على J X K J
+
+208
+00:16:03,770 --> 00:16:13,070
+X I هذا I وهذا سلب K تمام هذا K X I J وهذا سلب I
+
+209
+00:16:13,070 --> 00:16:20,770
+قال يلّا جمّع جمّع وارتبه خلّي ال I عامل مشارك و
+
+210
+00:16:20,770 --> 00:16:24,690
+ال J عامل مشارك و ال K عامل مشارك تمام؟ لما أخدت
+
+211
+00:16:24,690 --> 00:16:26,950
+ال I عامل مشارك و ال J عامل مشارك و ال K عامل
+
+212
+00:16:26,950 --> 00:16:31,690
+مشارك طلعوا هيك و فدول صعبين حافظهمهذه كان سيني مع
+
+213
+00:16:31,690 --> 00:16:35,850
+سيني وصدي مع صدي وعيني مع عيني وسهلي تمام؟ وقلنا
+
+214
+00:16:35,850 --> 00:16:39,710
+يلّا بعيننا الله نحفظهم طب هدول كيف نحفظهم؟ قالوا
+
+215
+00:16:39,710 --> 00:16:43,090
+في سهلة بنشوف طريقة تانية نحفظهم لما طلّعوا عليهم
+
+216
+00:16:43,090 --> 00:16:48,350
+قال أخدنا في المدارس المصروفات هذه ممكن تترتب حسب
+
+217
+00:16:48,350 --> 00:16:52,490
+المصروفة بصيب ساعتها سهل نعملها فجاني بدل ما تعمل
+
+218
+00:16:52,490 --> 00:16:59,650
+هيك أعملها هيك قال لي or equivalently هيك سهلة
+
+219
+00:17:00,450 --> 00:17:05,750
+مظبوط هيك ولا لا؟ هذي بدهاش حفظ كيف اجيبها؟ بقول
+
+220
+00:17:05,750 --> 00:17:10,970
+IJK هاي أول صفر، بعدين أول واحدة المراكبة السنية،
+
+221
+00:17:10,970 --> 00:17:13,030
+المراكبة الصغيرة، المراكبة العلية، كل واحدة تحتها
+
+222
+00:17:13,030 --> 00:17:17,350
+BX BY BZ بعدين كيف بجيبها؟ بس كنا نعمل هيك
+
+223
+00:17:17,350 --> 00:17:23,710
+وبالتالي بحط IAYBZ
+
+224
+00:17:23,710 --> 00:17:26,050
+-AZBY
+
+225
+00:17:27,970 --> 00:17:31,150
+أنا بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا
+
+226
+00:17:31,150 --> 00:17:31,450
+.. بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا ..
+
+227
+00:17:31,450 --> 00:17:32,770
+بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا ..
+
+228
+00:17:32,770 --> 00:17:32,830
+بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا ..
+
+229
+00:17:32,830 --> 00:17:32,950
+بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا ..
+
+230
+00:17:32,950 --> 00:17:32,990
+بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا ..
+
+231
+00:17:32,990 --> 00:17:33,790
+بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا ..
+
+232
+00:17:33,790 --> 00:17:33,930
+بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت هنا ..
+
+233
+00:17:33,930 --> 00:17:42,790
+بقيت هنا .. بقيت هنا .. بقيت هنا .. بقيت
+
+234
+00:17:42,790 --> 00:17:48,850
+هنا .. بقيت هنا .. بقيت
+
+235
+00:17:48,850 --> 00:17:58,930
+هنا .. بقيت هنا .. بقيت هنا .. بقهاجد I هادى ما
+
+236
+00:17:58,930 --> 00:18:04,550
+زال حاطط I بسكر عموده و صفه تمام هيك؟ ما زال سكرت
+
+237
+00:18:04,550 --> 00:18:08,630
+عموده و صفه، إيش ضال عندى؟ مادر ستين في اتنين بقول
+
+238
+00:18:08,630 --> 00:18:13,350
+هادي في هادي ناقص هادي في هادي و زمان كنت تقوله
+
+239
+00:18:13,350 --> 00:18:20,450
+مودب سالب مودب مش هي كنت تعمله؟ تمام minus J عشان
+
+240
+00:18:20,450 --> 00:18:26,670
+فيه ناقصأيش العين؟ بدي أسكّر صفة الـ J وعمود الـ J
+
+241
+00:18:26,670 --> 00:18:30,430
+سكّرت؟
+
+242
+00:18:30,430 --> 00:18:42,790
+هدف يهدي AX BZ ناقص AZ BX زائد K سكّر الـ K صفة و
+
+243
+00:18:42,790 --> 00:18:49,010
+عمودها عشان أقول زائد ناقص زائد عشان كنا بقول
+
+244
+00:18:53,460 --> 00:18:59,940
+مش هي دايماً هيك ازايد ونقص والزايد يعني هذه موجبة
+
+245
+00:18:59,940 --> 00:19:05,920
+وهذه سلبة وهذه موجبة هي
+
+246
+00:19:05,920 --> 00:19:11,000
+هي هي عشان تظبط معايا لازم تكون موجب سالب موجب
+
+247
+00:19:11,000 --> 00:19:21,980
+تمام؟ بنقول ال K ايش ضال؟ Ax By سالب Ay Bxأشوف
+
+248
+00:19:21,980 --> 00:19:38,800
+نفسها اشوف aybz-azby هي نشوف هذه axbz-azbx اه انا
+
+249
+00:19:38,800 --> 00:19:43,160
+عكستها تمام فانا اخدت الشرط السالك ودخلتها جوا
+
+250
+00:19:43,970 --> 00:19:49,390
+فعكستهم تمام؟ والتالتة a x by نقص a y b x إذا
+
+251
+00:19:49,390 --> 00:19:55,610
+نفسها إذا بيقولي بدل ما تحفظ هذه احفظها المصفوفة
+
+252
+00:19:55,610 --> 00:20:03,770
+أحلى لك هذه المصفوفة أحلى شو؟
+
+253
+00:20:03,770 --> 00:20:08,410
+مين؟ همين بتحكي ايه؟
+
+254
+00:20:08,410 --> 00:20:16,130
+انت بتعرف كيف تفك المصفوفة هذه؟لأ يا بنتي احنا مش
+
+255
+00:20:16,130 --> 00:20:18,630
+كتير حاجة نستخدمها بس دائما كنا انه لما يضربوا
+
+256
+00:20:18,630 --> 00:20:25,330
+يجيبوا المحدد تبع أي مصفوفة يجيبوا واحد منهم تمام
+
+257
+00:20:25,330 --> 00:20:30,230
+هذا الواحد و دربوه في ما تبقى من المصفوفة المتبقية
+
+258
+00:20:30,230 --> 00:20:35,450
+بعد ما سكر عموده و صفه المتبقى بدربهم بهذه الطريقة
+
+259
+00:20:35,450 --> 00:20:41,760
+و بدرب أول واحد أخدتهيعني هذه لو كانت مش I كانت
+
+260
+00:20:41,760 --> 00:20:45,380
+خمسة بقول خمسة في هادي في هادي ونقص هادي في هادي
+
+261
+00:20:45,380 --> 00:20:50,180
+لو هذه ستة بقول ستة بس بعكس الإشارة و بضل بسكر ستة
+
+262
+00:20:50,180 --> 00:20:54,680
+أسفر عمودها و المطاقم أضربهم و أعملهم هذه شغلات
+
+263
+00:20:54,680 --> 00:20:57,340
+أخدناها و معروفة يعني تمام؟
+
+264
+00:21:03,640 --> 00:21:08,620
+طبعا في الآخر الـ J بعمله طبعا في عدة طرق كيف
+
+265
+00:21:08,620 --> 00:21:11,540
+اتعامل معاها بس واحدة واحدة يعني أنتوا بكفيكم الآن
+
+266
+00:21:11,540 --> 00:21:18,540
+هذه الطريقة نجي نشوف example بقول consider the two
+
+267
+00:21:18,540 --> 00:21:21,160
+vectors given in the previous example A وB بديش
+
+268
+00:21:21,160 --> 00:21:24,820
+أضع نغير ال vectors اللي أخدناهم find A cross ال B
+
+269
+00:21:25,550 --> 00:21:29,590
+سهل، بدنا نكررهم، خلّيكي معايا أنت اللي ناسع عشان
+
+270
+00:21:29,590 --> 00:21:33,510
+هكرره عدة مرات، بركة تذكرتي نعمل refresh، تمام؟
+
+271
+00:21:33,510 --> 00:21:39,290
+بيقول ال solution بدي أجيب من الـA والـB قدهم الـA
+
+272
+00:21:39,290 --> 00:21:41,990
+والـB نفسهم تعوني هذي المعطيات، ما هو ده السؤال
+
+273
+00:21:41,990 --> 00:21:46,110
+بيقولي A×B، إيش سويته؟ طلعي عليها I وJ وK بتغيروش
+
+274
+00:21:46,110 --> 00:21:52,350
+تمام؟ جبت الـA إيش مركبته الأولى؟ واحد مركبته
+
+275
+00:21:52,350 --> 00:21:59,280
+التانيةمُركبة التالتة تلاتة تمام نجي لل بيتنين
+
+276
+00:21:59,280 --> 00:22:04,000
+تلاتة سلب اتنين لو انا حاطيت هنا بكسل ا بسلب ب فوق
+
+277
+00:22:04,000 --> 00:22:09,820
+اللي اتحت حسب الترتيب فهمتوا عليها يا بنات نجي طلع
+
+278
+00:22:09,820 --> 00:22:12,580
+عشان بعمل بسكر هادي
+
+279
+00:22:16,380 --> 00:22:20,480
+أيش بيحصل عندي؟ بيقوللي سالب اتنين في سالب اتنين
+
+280
+00:22:20,480 --> 00:22:30,240
+أربعة ناقص تلاتة في تلاتة تسعة خلصت مي جي لل جيهو
+
+281
+00:22:30,240 --> 00:22:33,380
+فيه سالب بس انا على طول بعملها بدل ما اضرب هيك
+
+282
+00:22:33,380 --> 00:22:36,980
+بدرب عكسه خلاص بريح حالي ماليش بضل احط سالب ف الـG
+
+283
+00:22:36,980 --> 00:22:40,420
+عشانه سلبه فبقول بدل ما اضرب هيك بدرب هيك عشان
+
+284
+00:22:40,420 --> 00:22:44,740
+السلب احط موجة فانا حاطط موجة فبدرب تلاتة في اتنين
+
+285
+00:22:44,740 --> 00:22:50,360
+ستة ناقص واحد في سلب اتنين وانه ناقص ناقص فسادي
+
+286
+00:22:50,360 --> 00:22:52,720
+اتنين تمام؟
+
+287
+00:22:55,750 --> 00:22:59,970
+بدا يطفط معلومة شوية كانت في الجاعة بدا تطفو تمام
+
+288
+00:22:59,970 --> 00:23:05,130
+ال K سكرت كيك برجع ال K عالي بقول واحد في تلاتة
+
+289
+00:23:05,130 --> 00:23:16,350
+تلاتة سالب سالب أربعة خلاص فبتصير ناقص خمسة I plus
+
+290
+00:23:16,350 --> 00:23:21,150
+eight J plus seven K plus seven K
+
+291
+00:23:25,130 --> 00:23:28,110
+خلّيني أعمل هالشغل أنا وياكم مين يعمل ال dot
+
+292
+00:23:28,110 --> 00:23:33,910
+product بين هذا و هذا dot product نعمل dot product
+
+293
+00:23:33,910 --> 00:23:38,990
+بين هذا و هذا علي صوتك اللي بتحكيه ده تديه خمسة في
+
+294
+00:23:38,990 --> 00:23:46,170
+واحد سالب خمسة سالب خمسة سالب خمسة سالب خمسة سالب
+
+295
+00:23:46,170 --> 00:23:47,090
+خمسة سالب خمسة سالب خمسة سالب خمسة سالب خمسة سالب
+
+296
+00:23:47,090 --> 00:23:52,630
+خمسة سالب خمسة سالب خمسة
+
+297
+00:23:55,050 --> 00:24:02,630
+بحطه؟ بحطه إذا كده جديش الجواب قاعدة
+
+298
+00:24:02,630 --> 00:24:09,450
+نقول ليش بدي أضرب هادي في هادي هنا شوية شوية سالب
+
+299
+00:24:09,450 --> 00:24:17,940
+عشرة زائد أربع عشرين سالب يلّا تنقل ال zeroبين
+
+300
+00:24:17,940 --> 00:24:22,260
+التحكيين لأنه
+
+301
+00:24:22,260 --> 00:24:28,700
+عمودي عليهم لأن هذا مش دوّجونا الـ cross product
+
+302
+00:24:28,700 --> 00:24:31,900
+ناتج لازم يكون عمودي علي A و عمودي علي B ما زال
+
+303
+00:24:31,900 --> 00:24:35,500
+هذا عمودي على هذا دُط ال product بديك Zero لأن
+
+304
+00:24:35,500 --> 00:24:44,500
+كسان التسعين صفر فدائما A دُط A cross ال Bبتساوي B
+
+305
+00:24:44,500 --> 00:24:51,920
+Dot A cross الـ B لازم تطلع Zero لأن هذا عمودي على
+
+306
+00:24:51,920 --> 00:24:58,160
+هذا و هذا عمودي على هذا فلازم يكون Zero و هي هتطلع
+
+307
+00:24:58,160 --> 00:25:05,240
+Zero حسب ما احنا عارفين تمام يا بنات؟ قطعا بتطلع
+
+308
+00:25:05,240 --> 00:25:10,080
+Zero حسب المعلومات اللي صفتت صح لازم تطلع Zero طيب
+
+309
+00:25:10,080 --> 00:25:11,200
+I
+
+310
+00:25:14,710 --> 00:25:23,810
+Dot J cross I جدتش
+
+311
+00:25:23,810 --> 00:25:30,810
+جدتش بتطلع سفر سفر اتكررت شوفوا هنا ال A اتكررت و
+
+312
+00:25:30,810 --> 00:25:35,990
+هنا ايش اتكررت هنا ايش اتكررت و I فتطلع سفر تطلع
+
+313
+00:25:35,990 --> 00:25:39,610
+سفر طب اعملك هيك لأ جدتش
+
+314
+00:25:44,280 --> 00:25:47,780
+واحد .. واحد .. واحد .. واحد .. واحد .. واحد ..
+
+315
+00:25:47,780 --> 00:25:49,760
+واحد .. واحد .. واحد .. واحد .. واحد .. واحد ..
+
+316
+00:25:49,760 --> 00:25:50,160
+واحد .. واحد .. واحد .. واحد .. واحد .. واحد ..
+
+317
+00:25:50,160 --> 00:25:51,860
+واحد .. واحد .. واحد .. واحد .. واحد .. واحد ..
+
+318
+00:25:51,860 --> 00:25:55,320
+واحد .. واحد .. واحد .. واحد .. واحد .. واحد ..
+
+319
+00:25:55,320 --> 00:25:55,560
+واحد .. واحد .. واحد .. واحد .. واحد .. واحد ..
+
+320
+00:25:55,560 --> 00:25:57,060
+واحد .. واحد .. واحد .. واحد .. واحد .. واحد ..
+
+321
+00:25:57,060 --> 00:26:01,020
+واحد .. واحد .. واحد
+
+322
+00:26:13,420 --> 00:26:22,680
+هك الشبطر خلص هك الشبطر خلص و الأن بإمكاننا نحل كل
+
+323
+00:26:22,680 --> 00:26:26,160
+أسئلة الكتاب بإجازة ال .. مش الإجازة في العيد ..
+
+324
+00:26:26,160 --> 00:26:30,820
+العيد نهائي جابني العيد من هلأ لليومعة تمام؟
+
+325
+00:26:30,820 --> 00:26:36,860
+حاولوا أن تحلوا كل أسئلة الكتاب يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/WdVG2qhWA2o.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/WdVG2qhWA2o.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d6e9597de458e202ade054288068fd7d5630b142
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/WdVG2qhWA2o.srt
@@ -0,0 +1,2028 @@
+1
+00:00:20,670 --> 00:00:25,050
+بعدها بسم الله الرحمن الرحيم نستكمل ما تبقى من ال
+
+2
+00:00:25,050 --> 00:00:28,790
+chapter طبعًا احنا لساتنا في نص الـ chapter حلينا
+
+3
+00:00:28,790 --> 00:00:35,410
+ثلاثة أمثلة على قوانين نيوتن ضل عندنا مثال مثال 4
+
+4
+00:00:35,410 --> 00:00:41,850
+.4 بيقول ليه a man of mass eighty kilogram stands
+
+5
+00:00:41,850 --> 00:00:45,230
+on a platform scale in an elevator
+
+6
+00:00:48,430 --> 00:00:51,110
+form of scale الـ scale اللي في بيوتكم اللي
+
+7
+00:00:51,110 --> 00:00:56,290
+بتجيسوا حالكم فيه تمام؟ هذا واحد شارِ ميزان و في
+
+8
+00:00:56,290 --> 00:00:59,050
+المصعد بدل ما يحمله و يحطه على الأرض و وقف عليه
+
+9
+00:00:59,050 --> 00:01:04,470
+بديه يتفرج ياديش بوزن و هو نازل و هو طالع تمام؟
+
+10
+00:01:04,600 --> 00:01:09,560
+الميزان المطبخ اللي بيسموه kitchen scale اللي اسمه
+
+11
+00:01:09,560 --> 00:01:12,460
+فهو هذا الـ platform scale أو الـ kitchen scale
+
+12
+00:01:12,460 --> 00:01:15,260
+الميزانكم اللي بتشتريه اللي بعشرين شيكل و 30 شيكل
+
+13
+00:01:15,260 --> 00:01:20,180
+حاجة تمام؟ رخيص وموجود ومتوافر أغلبكم عنده هذا
+
+14
+00:01:20,180 --> 00:01:27,130
+الميزان تمام الشخص كتلته 80 كيلو جرام بيقول find the
+
+15
+00:01:27,130 --> 00:01:30,250
+scale reading when the elevator moves with
+
+16
+00:01:30,250 --> 00:01:34,230
+constant velocity الـ elevator أو المصعد بتحرك بسرعة
+
+17
+00:01:34,230 --> 00:01:39,170
+ثابتة with constant velocity و بقى الـ sense لما
+
+18
+00:01:39,170 --> 00:01:43,050
+الـ elevator بيطلع بيصعد جاي من الطابق الأرضي للطابق
+
+19
+00:01:43,050 --> 00:01:46,310
+الخامس اللي احنا فيه with an acceleration of three
+
+20
+00:01:46,310 --> 00:01:49,490
+meters per second squared تسارع المصعد اللي أديكم
+
+21
+00:01:49,490 --> 00:01:55,150
+إياه والحالة الثانية الـ sense لما يحبط with an
+
+22
+00:01:55,150 --> 00:01:59,550
+acceleration of 3 meters per second squared بنشوف
+
+23
+00:01:59,550 --> 00:02:06,670
+أيش الميزان بيسوي طبعًا هاي المصعد وهي الرجال 110
+
+24
+00:02:06,670 --> 00:02:13,170
+كيلو مش 80 هذا تمام هاي الميزان راكب عليه وبتفرج
+
+25
+00:02:13,170 --> 00:02:17,250
+على الميزان بيشوف ومكشف لأنه جوازنه كتير ومش شايف
+
+26
+00:02:17,250 --> 00:02:22,100
+حالَه في المرايا تمام؟ بدنا نشوف إيش قراءته طبعًا لازم
+
+27
+00:02:22,100 --> 00:02:24,980
+نفهم شغلة معينة أول هذه الميزان كيف أنصنعها إيش
+
+28
+00:02:24,980 --> 00:02:27,900
+قاعد بيجيس في النهاية بنعرف إن احنا أنتو أنتو
+
+29
+00:02:27,900 --> 00:02:32,940
+بتشوفوا بس المؤشر صحيح ولا لا؟ هذه المؤشر إن عمل
+
+30
+00:02:32,940 --> 00:02:40,880
+إيش يجيس لازم نفهم إن قياس هذا الميزان بقصركم قوة
+
+31
+00:02:40,880 --> 00:02:48,400
+قوة نجي نتطرق للميزان والشخص ونقول إيش فيه قوة على
+
+32
+00:02:48,400 --> 00:02:53,370
+الشخص فادوكم إن الميزان واحد واقف على الأرض ما هي
+
+33
+00:02:53,370 --> 00:02:59,410
+قوة؟ وزنه ووزن الأكثر وقوة الأرض التي تؤثر فيها
+
+34
+00:02:59,410 --> 00:03:03,670
+على الشخص فادوكم إن الأرض بيستبدل الأرض بميزان
+
+35
+00:03:03,670 --> 00:03:09,170
+إذن في عندي قوتين بتأثر على الشخص وزنه MG وقوة
+
+36
+00:03:09,170 --> 00:03:13,710
+الميزان على الشخص إن صانع الميزان يقرأ هذه القوة
+
+37
+00:03:13,710 --> 00:03:17,410
+إذن هو بيقرأ قوة الميزان على الشخص دائمًا الشغلة
+
+38
+00:03:17,410 --> 00:03:22,740
+بتقرأ حاجة تملكها طبعًا قوة الوزن هي قوة جذب الأرض
+
+39
+00:03:22,740 --> 00:03:25,880
+على الشخص صح ولا لا؟ ما ليش داعي الميزان فيها إذا
+
+40
+00:03:25,880 --> 00:03:31,400
+الميزان بيقرأ قوة الميزان على الشخص قوة الميزان
+
+41
+00:03:31,400 --> 00:03:36,060
+على الشخص هذا هو قراءة الميزان اللي بتشوفوه طبعًا
+
+42
+00:03:36,060 --> 00:03:40,600
+بتعرفوا إن في ميزان بيسموه ميزان زومباراكي كيف
+
+43
+00:03:40,600 --> 00:03:45,540
+بجي فيه هذا؟ بتعلق فيه طيب يعني هذا الميزان إيش
+
+44
+00:03:45,540 --> 00:03:52,420
+اللي بيقرأ؟ بيقرأ الشد بيقرأ
+
+45
+00:03:52,420 --> 00:04:00,320
+الشد بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ الشد
+
+46
+00:04:00,320 --> 00:04:03,180
+بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ
+
+47
+00:04:03,180 --> 00:04:03,480
+بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ
+
+48
+00:04:03,480 --> 00:04:05,280
+الشد بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ الشد
+
+49
+00:04:05,280 --> 00:04:06,660
+بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ الشد بيقرأ
+
+50
+00:04:06,660 --> 00:04:14,120
+الشد بيقرأ الشد بيقرأ الشد بيقرأ
+
+51
+00:04:14,120 --> 00:04:18,050
+الشد the free body diagram ما زال هيك بدي أجيب الـ
+
+52
+00:04:18,050 --> 00:04:21,170
+free body diagram of the man بدي أرسم القوة اللي
+
+53
+00:04:21,170 --> 00:04:25,410
+على الـ man هذه عندي MG ما أقدرش أجيبها عشانه تجيل و
+
+54
+00:04:25,410 --> 00:04:29,890
+أطلع و برا فخليني أرسم فيها الـ diagram هو زي ما هو
+
+55
+00:04:29,890 --> 00:04:33,730
+بيميل الصفحة بعدين لو جبناها تمام؟ فعندي وزنه
+
+56
+00:04:33,730 --> 00:04:40,530
+شايفينه لأسفل اتغير حاجة هذا وزنه اللي هي MG مين
+
+57
+00:04:40,530 --> 00:04:46,750
+جاب التانين MG كنت شايلتها ومن الناس هعدلها وهذه N
+
+58
+00:04:46,750 --> 00:04:52,210
+قوة الميزان على الشخص N هي اللي بيقرأها الميزان
+
+59
+00:04:52,210 --> 00:04:56,830
+إذا أنا بدي أوجد N في الثلاث حالات هميحيك؟ حلو
+
+60
+00:04:56,830 --> 00:05:01,430
+طبعًا هذه هي القوة العمودية زي ما أنتو عارفين
+
+61
+00:05:01,430 --> 00:05:05,950
+وبالتالي القانون اللي بدي أطبقه الآن هو مجموع
+
+62
+00:05:05,950 --> 00:05:12,220
+القوة الصافية بيساوي MA صحيح ولا لا؟ لأن المصعد في
+
+63
+00:05:12,220 --> 00:05:16,980
+الثلاث حالات لابد طلع لبنزين حركته عمودية صحيح ولا
+
+64
+00:05:16,980 --> 00:05:21,870
+لا؟ إذن هذا هو القانوني تمكيف تاخدوا اتجاهكم
+
+65
+00:05:21,870 --> 00:05:26,970
+الموجب؟ لفوق ولا لتحت؟ لفوق لفوق طبعًا؟ معناته إن
+
+66
+00:05:26,970 --> 00:05:32,930
+N ناقص Mg بتساوي Ma إذا إيه أول حالة؟ Noting that
+
+67
+00:05:32,930 --> 00:05:37,410
+اللي طبعًا حكيته Noting that the scale الميزان
+
+68
+00:05:37,410 --> 00:05:42,850
+reads its reaction force قوته على الشخص طبعًا؟ and
+
+69
+00:05:42,850 --> 00:05:46,410
+applying Newton's second law in the three cases في
+
+70
+00:05:46,410 --> 00:05:52,680
+الثلاث حالات you get أول حالة FY بيساوي MA M ناقص MG
+
+71
+00:05:52,680 --> 00:05:58,020
+حطيتها صفر ليش؟ لأن التسارع مش موجود الـ velocity is
+
+72
+00:05:58,020 --> 00:06:03,700
+constant صحيح؟ صفر طب أنت بدك N إذا الـ N بيساوي MG
+
+73
+00:06:03,700 --> 00:06:11,180
+M8 في 9.8 طلعت 784 نيوتن أنتو بتقولوا طب أنا
+
+74
+00:06:11,180 --> 00:06:15,340
+ما قرأتش نيوتن بقرأ كيلو جرام مظبوط ولا لأ؟ فهم عشان
+
+75
+00:06:15,340 --> 00:06:19,220
+يبسطوا للناس يبقوا مجسمين على جيه ويحطوا
+
+76
+00:06:19,220 --> 00:06:22,780
+الكيلوجرام اللي على الميزان لكن هو الأصل إن هذا
+
+77
+00:06:22,780 --> 00:06:27,180
+يقرأ نيوتن فهي قراءة الميزان حلو في أي استفسار
+
+78
+00:06:27,180 --> 00:06:32,200
+الآن؟ ما فيش مشكلة عندي قالولي نيوتن التاني أنا
+
+79
+00:06:32,200 --> 00:06:35,440
+اللي أهم أفهم إن الميزان يقرأ الـ .. هذي اللي بدأ
+
+80
+00:06:35,440 --> 00:06:38,540
+أفهمها بصيوا كانوا يقولوا لك أوجد قوة والقوة
+
+81
+00:06:38,540 --> 00:06:42,820
+ما أقدرش أوجدها إلا من معادلة القوة وهو نيوتن التاني
+
+82
+00:06:47,280 --> 00:06:51,320
+agree لي أنت صوت عالي إيه إيش بيقول إيه إيه إيه
+
+83
+00:06:51,320 --> 00:06:56,340
+مطلوب هنا الحلقة الأولى جدّيش الـ acceleration خلصتي
+
+84
+00:06:56,340 --> 00:07:03,080
+تمام همنيه بي احنا كيف أخذنا اتجاه الموجب لفوق
+
+85
+00:07:03,080 --> 00:07:06,980
+الآن الـ sense الـ acceleration موجب ولا سالب الـ
+
+86
+00:07:06,980 --> 00:07:11,560
+sense يعني يطلع إذا موجب أنتو اختارتوا اتجاهكم
+
+87
+00:07:11,560 --> 00:07:16,790
+الموجب بيقول وهطلعوا كمان إنامن أي حد من أي حد ما
+
+88
+00:07:16,790 --> 00:07:24,790
+انجطح الحبيب المصعب تمام N ناقص MG بيساوي Ma صحيح
+
+89
+00:07:24,790 --> 00:07:30,310
+ولا لأ؟ تمام أنت بدك N جيبلي هديها فصرت N بيساوي MG
+
+90
+00:07:30,310 --> 00:07:34,750
+زائد A G تسعة فاصلة ثمانية وهذه ثلاثة زاد وزنه احنا
+
+91
+00:07:34,750 --> 00:07:39,070
+ناقصنا زيادة ما هو بيبقى مكافئ جيل جيل فطلع وزنه
+
+92
+00:07:39,070 --> 00:07:42,490
+بدل ما هو كان سبعميه واربعه و تمانين الف واربع
+
+93
+00:07:42,490 --> 00:07:48,180
+وعشرين نيوتن إذا معناته الميزان بالحالة السعودية
+
+94
+00:07:48,180 --> 00:07:53,000
+بيقرأ أكثر من طبيعته صحيح ولا لأ؟ واللي مش مصدق
+
+95
+00:07:53,000 --> 00:07:57,100
+يجرب يروح يشوف الميزان ويحط ويطلع وقعدت بفرضيكم
+
+96
+00:07:57,100 --> 00:07:58,940
+في شغلات .. يعني لو مش الميزان اللي دي احنا بنزيدش
+
+97
+00:07:58,940 --> 00:08:09,120
+.. تمام الحالة الثالثة .. نزل؟ نزلنا بعدين N ناقص MG
+
+98
+00:08:09,120 --> 00:08:15,980
+حطيت ناقص A لأنه نازل واتجاه الموجب بالأعلى فحطيت
+
+99
+00:08:15,980 --> 00:08:20,760
+ناقص A قال لي أنت بدك N هذي وديها ها فصرت هذي G
+
+100
+00:08:20,760 --> 00:08:25,500
+وهذه سالب A G سالب A طلعت خمسمية وأربعة واربعين
+
+101
+00:08:25,500 --> 00:08:30,160
+نيوتر الشكاية فهي ضعيفة رودي من بلاش
+
+102
+00:08:33,300 --> 00:08:38,360
+طبعًا خليني أنا أثبتلكم شغلة هدي إنه الميزان بقراءش
+
+103
+00:08:38,360 --> 00:08:42,420
+كتلة لو حطيته ميزانكم في الدار على ماكينة تخميني
+
+104
+00:08:42,420 --> 00:08:44,420
+هتلاقوا القراءة اختلفت كليًا
+
+105
+00:08:48,100 --> 00:08:52,420
+بجل صحيح ولا لأ؟ لأنه .. وأنتم جاعدين وبيكونوا ..
+
+106
+00:08:52,420 --> 00:08:56,120
+بيكونوا بيخبطوا جاعد شوية شوية .. في الـ .. في الـ ..
+
+107
+00:08:56,120 --> 00:08:59,160
+في المكينة وبالتالي عشان تقرأوا صح بيجوا يحطوا
+
+108
+00:08:59,160 --> 00:09:02,840
+على البلاط عشان أقرأ .. أقرأ ميزاني صحيح تمام؟ هذا
+
+109
+00:09:02,840 --> 00:09:05,680
+.. هذا بيدل على إيش؟ إنه بيقرأش كتلة لو إنه بيقرأ
+
+110
+00:09:05,680 --> 00:09:09,560
+كتلة بتتغير من وضع إلى وضع الكتلة ثابتة إذن هو لا
+
+111
+00:09:09,560 --> 00:09:15,360
+يقرأ كتلة هو يقرأ قوة وبيقرأ in و in تعتمد على
+
+112
+00:09:15,360 --> 00:09:20,520
+نيوتن في خطأ في الـ .. لأ لأ بس بيطلع 104 لو قسمنا
+
+113
+00:09:20,520 --> 00:09:25,400
+على 9 فاصلة 8 يعني 24 بيطلع 104 طب منيح سمباتيك
+
+114
+00:09:25,400 --> 00:09:30,120
+صار تمام لو قسمنا على 9 بيطلع 56 طيب أنا بس بدي
+
+115
+00:09:30,120 --> 00:09:38,420
+أنعلق شغل على هذه المعادلة طلعوا هنا هذه إيش نزول
+
+116
+00:09:38,420 --> 00:09:43,780
+المصعد هب! وأنتم نازلين ينقطعوا على المصعد! دي
+
+117
+00:09:43,780 --> 00:09:50,280
+أساتر يا ربي! بيصير كيف ينزل؟ بتسارع الجاذبية! صح؟
+
+118
+00:09:50,280 --> 00:09:54,300
+يعني إيه تبعوا إيش بيصير؟ جيه! جدّيش أنت طلعت؟
+
+119
+00:09:54,300 --> 00:09:59,340
+صفر! هذه بصير ما لوش وزن لو صار معاكم إن شاء الله
+
+120
+00:09:59,340 --> 00:10:05,060
+ما بصيرش في هذه اللحظة إن بتساوي صفر إيش المعنى
+
+121
+00:10:05,060 --> 00:10:09,600
+الفيزيائي لإن بتساوي صفر؟ يعني فش تأثير من الميزان
+
+122
+00:10:09,600 --> 00:10:12,680
+على الشخص لإنه صار فيه قوة واحدة بتسرع جسدك بتسرق
+
+123
+00:10:12,680 --> 00:10:15,340
+مجيه لتحت طيب إيش معناتها؟ معناتها إن الميزان
+
+124
+00:10:15,340 --> 00:10:20,480
+بيترك الشخص إيش يعني؟ يعني فش قوة .. فش سفر ..
+
+125
+00:10:20,480 --> 00:10:25,970
+شوفوا إن جاي من وين؟ يعني من تلامس الميزان مع الشخص
+
+126
+00:10:25,970 --> 00:10:29,310
+والشخص مع الميزان لما أنت صفر بطل في تلامس بين
+
+127
+00:10:29,310 --> 00:10:34,130
+الميزان والشخص يعني الرجال طار طار وهذا هيك بصير
+
+128
+00:10:34,130 --> 00:10:41,270
+لحظيًا إنه بصير في فرق ما بين الميزان والشخص لكن في
+
+129
+00:10:41,270 --> 00:10:46,630
+الآخر التنين بنزلوا مع بعض فالتنين اللي بيكونوا
+
+130
+00:10:46,630 --> 00:10:51,370
+نازلين بجذبية أرضية وقت إيش الشخص بيلحق المزار لما
+
+131
+00:10:51,370 --> 00:10:57,770
+يجف المصعد بيلحقوا الشخص لكن لو كان الشخص طويل شوية
+
+132
+00:10:57,770 --> 00:11:00,470
+أول ما ينزل راسك مخبط في خطر .. في خطر الأفلام
+
+133
+00:11:00,470 --> 00:11:04,290
+تبقى كل الأعوام بلاش أنتو هجيتوا أول ما ينقطع
+
+134
+00:11:04,290 --> 00:11:09,000
+تحسوا جالكم جالهم .. بعيد الشارع بعيد الشارع يعني
+
+135
+00:11:09,000 --> 00:11:12,060
+برضه نفس المثال يا بنات وين بيصير؟ أنتو بتعرفوا
+
+136
+00:11:12,060 --> 00:11:16,180
+في الشوارع بنحط المطب باطل نسميه مطب ليش؟ عشان
+
+137
+00:11:16,180 --> 00:11:19,000
+الناس تخاف من السرعة .. عشان الناس تخاف من السرعة
+
+138
+00:11:19,000 --> 00:11:22,400
+هبقى إن واحد ثقران ما شافش المطب وكان سريع .. عشان
+
+139
+00:11:22,400 --> 00:11:27,000
+بسرعة .. بيطير .. بيطير .. وبتصير في التلفزيونات في
+
+140
+00:11:27,000 --> 00:11:32,660
+المسابقات إذا كان موتوسيكل أو سيارة عند أي مطب
+
+141
+00:11:32,660 --> 00:11:36,880
+بيطير ليش؟ بتكون السرعة في هذه الحالة عند الطيران
+
+142
+00:11:36,880 --> 00:11:41,150
+إن تساوي الصفر إن تساوي الصفر إن بين الشارع وبين
+
+143
+00:11:41,150 --> 00:11:45,430
+السيارة لما إن تساوي الصفر بطل في تلامس بين السيارة
+
+144
+00:11:45,430 --> 00:11:49,310
+والأسفل هذه معناتها إن تساوي الصفر تمام؟ وبالتالي
+
+145
+00:11:49,310 --> 00:11:52,390
+المطب لازم يعمل على هذه الأساس مش نروح ونقول والله
+
+146
+00:11:52,390 --> 00:11:55,590
+عند عشرة كيلومتر في الساعة أطيره ما ينفعش ما ينفعش
+
+147
+00:11:55,590 --> 00:11:59,090
+أطيره عند السبعين عند الثمانين لأنه مسموح له يمشي
+
+148
+00:11:59,090 --> 00:12:02,050
+بالخمسين ما ينفعش يكون ماشي على أربعين وأطيره
+
+149
+00:12:02,050 --> 00:12:05,090
+وبالتالي المطب لما يعمل .. بنعمل إحسابات هذه
+
+150
+00:12:05,090 --> 00:12:09,100
+الشغلات وبالتالي هاي معناه إن بتساوي Zero إن بتساوي
+
+151
+00:12:09,100 --> 00:12:13,280
+Zero فقد التلامس ما بين الصفحتين لأن إن جاء نتيجة
+
+152
+00:12:13,280 --> 00:12:17,220
+التلامس أحكي لكن لو تساوى الـ G مع الـ A بس التجارب
+
+153
+00:12:17,220 --> 00:12:22,660
+كانت في اتجاهات مختلفة اتسنى شوية الـ G بتساوي مع
+
+154
+00:12:22,660 --> 00:12:26,320
+الـ A أو الـ A بتساوي مع الـ A وكتيش بيكونوا عكس بعض
+
+155
+00:12:26,320 --> 00:12:31,640
+هو عمر هالـ G بتتغير أول؟ لأ لأ لأ لأ لأ لأ لأ لأ
+
+156
+00:12:31,640 --> 00:12:34,780
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+157
+00:12:34,780 --> 00:12:40,510
+لأ لأ لأ حلو في هذه الحالة هو طالع هيك هنا عمرها
+
+158
+00:12:40,510 --> 00:12:45,790
+بتساوي صفر؟ أنت عاملة جامعة هذه بتساوي هذه صارت 2G
+
+159
+00:12:45,790 --> 00:12:49,710
+صارت صفر؟ إذا هذه الحالة فقط بتصير وقتين وهو نازل
+
+160
+00:12:49,710 --> 00:12:53,990
+ما ينفعش تقول لي هو نازل وبعدين تحكسيه ما هو نازل إلا
+
+161
+00:12:53,990 --> 00:12:57,530
+إن إذا طالع دلوقتي هنا نقوى إيه اللي هتصير معاكي
+
+162
+00:12:57,530 --> 00:13:04,090
+عشان كده وأنت طالع ما فيش خوف وأنت طالعة الهوى إنك
+
+163
+00:13:04,090 --> 00:13:07,030
+وأنت نازلة نفس العملية اللي بصير في المرجيحة يا
+
+164
+00:13:07,030 --> 00:13:09,310
+بنات المرجيحة بتاعة الأولاد الصغار هذه بتاعة العيد
+
+165
+00:13:09,310 --> 00:13:14,030
+وين الطفل أو أنت لما كنت أطفال بتعيطوا فوق؟ لما
+
+166
+00:13:14,030 --> 00:13:17,250
+تصلوا فوق بيصيروا اتعيطوا و ليش؟ فوق بتحسوا إن
+
+167
+00:13:17,250 --> 00:13:21,050
+تبعاتكم جربت تصير Zero وكل ما الواحد يصير حس حلو
+
+168
+00:13:21,050 -->
+
+216
+00:17:04,530 --> 00:17:10,090
+طبقة هواء هذا هو أفضل أنواع الأسطح الملساء اللي
+
+217
+00:17:10,090 --> 00:17:13,930
+ممكن نعملها في المختبر تمام نجي لهذا أنا في عندك
+
+218
+00:17:13,930 --> 00:17:18,310
+قوة احتكاك ولا لأ مش متلمسين؟ حلو بتتحرك؟
+
+219
+00:17:20,390 --> 00:17:24,110
+استنى شوية واحدة واحدة هذا لا يتحرك هل جدتش
+
+220
+00:17:24,110 --> 00:17:27,950
+التسارع يتبعته؟ صفر بدي أطبخ أنا وياكم هذه
+
+221
+00:17:27,950 --> 00:17:32,250
+القانون الآن طبعاً
+
+222
+00:17:32,250 --> 00:17:36,150
+X أفقي ولا لا؟ يالا منى يقول لي ايش فيه قوة أفقية،
+
+223
+00:17:36,150 --> 00:17:42,490
+احكي طب هو أصلاً مفروض يكون فيه قوة احتكاك ولا لا؟
+
+224
+00:17:42,490 --> 00:17:45,150
+هذه قوة الاحتكاك اللي برمز لها بالرمز small f
+
+225
+00:17:45,150 --> 00:17:51,460
+بتساوي N في صفر طلعت صفر إذا قوة الاحتكاك صفر
+
+226
+00:17:51,460 --> 00:17:56,740
+بالرغم من أن السطح خشن إذا ممكن قوة الاحتكاك تكون
+
+227
+00:17:56,740 --> 00:18:04,100
+صفر بالرغم من أن السطح مش ناعم ايش مش عاجبك؟ طيب
+
+228
+00:18:04,100 --> 00:18:08,780
+إذا ممكن قوة الاحتكاك تكون صفر حلو فجيت
+
+229
+00:18:08,780 --> 00:18:11,860
+بالدايجيب أنا هجيت هنا في Meses Masco قعدت بأجرب
+
+230
+00:18:11,860 --> 00:18:17,490
+فيه تبقى يتحرك طب هجيتك عن قوة عليه ال laptop
+
+231
+00:18:17,490 --> 00:18:25,690
+أفقياً قوتي و قوة الاحتكاك قوتي في الحالة الثانية
+
+232
+00:18:25,690 --> 00:18:31,550
+خليني أسميها T ناقص في F بسوء N ايه ديش هذي؟
+
+233
+00:18:31,550 --> 00:18:39,870
+صفر ما اتحركت؟ اتحركت؟ اتحركت؟ مازال صفر طب هل
+
+234
+00:18:39,870 --> 00:18:44,690
+الاحتكاك صفر لأن ولا بسوء T؟ بسوء T إذا بدأنا
+
+235
+00:18:44,690 --> 00:18:49,370
+بـ0، صار بـT طيب أنا كنت ماشي بواحد نيوتن، خليته
+
+236
+00:18:49,370 --> 00:18:52,870
+اتنين نيوتن، وصار ما مشي، جدّيش احتكاكه صار؟ اتنين
+
+237
+00:18:52,870 --> 00:18:55,150
+نيوتن، خليته ثلاثة نيوتن، جدّيش صار؟ ثلاثة نيوتن،
+
+238
+00:18:55,150 --> 00:19:00,390
+إذا عامة بقوة احتكاك بالـZ، صحيح؟ لازم هي أكبر،
+
+239
+00:19:00,390 --> 00:19:01,670
+لازم هي أكبر، لازم هي أكبر، لازم هي أكبر، لازم هي
+
+240
+00:19:01,670 --> 00:19:05,690
+أكبر، لازم هي أكبر، لازم هي أكبر، لازم هي أكبر،
+
+241
+00:19:05,690 --> 00:19:11,370
+لازم هي أكبر، لازم هي أكبر، لازم هي أكبر، لازم هي
+
+242
+00:19:11,370 --> 00:19:20,950
+أكبر، لازم لأن طول ما A تساوي 0 الجسم ساكن هذا
+
+243
+00:19:20,950 --> 00:19:24,650
+الاحتكاك اللي نسميه قوة الاحتكاك السكوني
+
+244
+00:19:24,650 --> 00:19:30,170
+سكوني لأنه لا يتحرك الجسم أول ما يتحرك بيكون
+
+245
+00:19:30,170 --> 00:19:36,890
+قوة الاحتكاك ديناميكية تمام خلينا نعيد بالكلام if
+
+246
+00:19:36,890 --> 00:19:40,090
+you want to push your your book
+
+247
+00:19:44,100 --> 00:19:47,540
+هذه .. هذه .. هذه مش موجودة أصلاً if you want to
+
+248
+00:19:47,540 --> 00:19:50,620
+push a block along a horizontal table .. هاي ال
+
+249
+00:19:50,620 --> 00:19:56,660
+block اللي هو ال laptop تبعي .. كمان there three
+
+250
+00:19:56,660 --> 00:19:58,620
+cases have to be considered .. بقول في عندك ثلاث
+
+251
+00:19:58,620 --> 00:20:02,640
+حالات اللي اخترتها إذا if you want to push a block
+
+252
+00:20:02,640 --> 00:20:06,100
+along a horizontal table three cases have to be
+
+253
+00:20:06,100 --> 00:20:14,120
+considered أول واحدة هذه اللي هو ال laptop جالس لا
+
+254
+00:20:14,120 --> 00:20:20,400
+قوة خارجية ما أثرت عليه
+
+255
+00:20:20,400 --> 00:20:23,960
+لا دفعة ولا ماسك ولا دي بتحبل ولا دفعة ولا حاجة
+
+256
+00:20:23,960 --> 00:20:28,620
+تمام since a بتساوي صفر the frictional force is
+
+257
+00:20:28,620 --> 00:20:33,460
+صفر ما فيش frictional force لأنه ما فيش net force
+
+258
+00:20:33,460 --> 00:20:37,040
+لازم تكون frictional force بيساوي صفر ما فيش قوة
+
+259
+00:20:37,040 --> 00:20:42,990
+إليك أو external force الحالة الثانية .. الآن أنا
+
+260
+00:20:42,990 --> 00:20:51,670
+بشدّه .. أنا بشدّه .. لكن ما تحركش .. هذه اللي اسمها
+
+261
+00:20:51,670 --> 00:20:56,310
+الـ F و حطّت جانبها S .. F static .. F static ..
+
+262
+00:20:56,310 --> 00:21:01,050
+لسه تصارع صفر .. ما نتّش حارّكها .. ايش بيقول لي .. an
+
+263
+00:21:01,050 --> 00:21:04,750
+external force is applied .. intercepted .. و قاعد
+
+264
+00:21:04,750 --> 00:21:08,290
+بتجرّ فيه .. أو بتزوّج فيه .. back non motion .. لكن
+
+265
+00:21:08,290 --> 00:21:12,770
+ما جرش تحركه .. مازال ما قدّرتش تحرّكه، ما قدّرتش لك
+
+266
+00:21:12,770 --> 00:21:17,730
+تسوي أي شيء؟ F سوى صفر إذا Fs بيساوي F التي حطّيتها
+
+267
+00:21:17,730 --> 00:21:22,810
+T هناك اسمه F بيساوي F، Fs هذه this frictional
+
+268
+00:21:22,810 --> 00:21:27,070
+force is called the static frictional force قوة
+
+269
+00:21:27,070 --> 00:21:33,650
+الاحتكاك السكوني لأنه ما فيش حركة تمام؟ اشرح
+
+270
+00:21:33,650 --> 00:21:34,590
+الحالة الثالثة اللي عندك
+
+271
+00:21:40,610 --> 00:21:45,910
+أكبر قوة أكبر أثرت
+
+272
+00:21:45,910 --> 00:21:50,790
+بقوة أكبر بحيث أنها تغلّبت على أكبر قيمة ممكنة
+
+273
+00:21:50,790 --> 00:21:54,690
+للاحتكاك الاستاتيكي أكبر قيمة ممكنة ما هو أنا
+
+274
+00:21:54,690 --> 00:21:58,900
+ما أقدرش أتغلب عليه إلا إذا هو فلسهو بيضل يزيد معاك،
+
+275
+00:21:58,900 --> 00:22:01,980
+فشحن مدينة من الـ صفر صار واحد، وصار اتنين، وصار
+
+276
+00:22:01,980 --> 00:22:04,560
+ثلاثة، وصار أربعة، وصار خمسة، هيبقى إنه أكثر من
+
+277
+00:22:04,560 --> 00:22:07,420
+خمسة، ما أقدرش يوصل، ساعات لما أنا قعدت في الستة،
+
+278
+00:22:07,420 --> 00:22:11,780
+بحركه ولا لأ؟ بحركه، هذه الخمسة بسميها أكبر قيمة
+
+279
+00:22:11,780 --> 00:22:15,980
+للـ Static Frictional Force، إذا أنا تغلّبت عليها،
+
+280
+00:22:15,980 --> 00:22:22,790
+بتتحرك الجسم، احكي، واحدة واحدة لسه، واحدة واحدة إذا
+
+281
+00:22:22,790 --> 00:22:28,850
+كانت F أكبر من أكبر قيمة للـ Fs، تمام؟ لذلك الكتب
+
+282
+00:22:28,850 --> 00:22:34,930
+تتحرك، لأن E لا تساوي صفر الـ N، تمام؟ إذا F نقص FK
+
+283
+00:22:34,930 --> 00:22:38,070
+بتساوي N E، بقدر أجيب FK اللي زي عرفتي الـ
+
+284
+00:22:38,070 --> 00:22:40,410
+التسارع؟ ما أقدرش أجيبها اللي زي عرفتي الـ
+
+285
+00:22:40,410 --> 00:22:44,650
+التسارع؟ هذه القوة الفرقية اسمها قوة حركية
+
+286
+00:22:44,650 --> 00:22:49,110
+الحركية حركية من حركة، إذا صارها جيت أول معلومة
+
+287
+00:22:49,660 --> 00:22:53,200
+واللي بده يسأل يسأل عندي نوعين من قوة الاحتكاك
+
+288
+00:22:53,200 --> 00:22:57,160
+استاتيكي وديناميكي هذه ما بدهاش شطارة الاستاتيكي
+
+289
+00:22:57,160 --> 00:23:00,900
+وقت ايش لما يكون ما فيش حركة مين اسمه؟ والديناميكي
+
+290
+00:23:00,900 --> 00:23:04,260
+لما يكون في حركة ديناميكي ما هو حركي يعني احنا بنقول
+
+291
+00:23:04,260 --> 00:23:09,160
+ساكن وحركي بدل ساكن استاتيكي وبدل حركي ديناميكي
+
+292
+00:23:09,160 --> 00:23:18,180
+أو حركي كل واحد هيتحرك كده وبالتالي في عنده قوة
+
+293
+00:23:18,180 --> 00:23:22,860
+احتكاك بقول it is found experimentally that .. هذه
+
+294
+00:23:22,860 --> 00:23:25,840
+الـ frictional force هذي بدوا يشوفوا كيف بدوا
+
+295
+00:23:25,840 --> 00:23:30,860
+يجيبوها عملوا تجارب كثيرة بعد هالتجارب كلها لاقوا
+
+296
+00:23:30,860 --> 00:23:34,720
+أن الـ frictional force Fs و Fk التنتين انه عين
+
+297
+00:23:34,720 --> 00:23:37,920
+between the two surfaces are proportional to the
+
+298
+00:23:37,920 --> 00:23:42,440
+normal force N بقول هذه بتعتمد على N ذاكرينها N؟
+
+299
+00:23:42,440 --> 00:23:48,440
+هجيت هيك في N؟ في Fs؟ إذا N صفر، لا يوجد Fs
+
+300
+00:23:48,440 --> 00:23:52,960
+أو K صفر لأنها تعتمد على N صحيح ولا لا؟ فلاقوا
+
+301
+00:23:52,960 --> 00:23:56,220
+أنها تعتمد على الـ N Pressing the two surfaces
+
+302
+00:23:56,220 --> 00:24:00,600
+together اللي بتأثر على ال two particles يعني F
+
+303
+00:24:00,600 --> 00:24:05,850
+s تطلع أقل أو تساوي Us في الـ N هذا الـ Mu معامل
+
+304
+00:24:05,850 --> 00:24:10,250
+معامل معين معامل الاحتكاك اللي سألتي عنه تمام؟ ليش
+
+305
+00:24:10,250 --> 00:24:13,270
+هتقل و تساوي؟ جانينا هو ما ره هتبقى صفر و بيضلوا
+
+306
+00:24:13,270 --> 00:24:17,310
+يكبر معاه، يكبر، يكبر، يكبر لما يوصل قد معين أكبر
+
+307
+00:24:17,310 --> 00:24:22,230
+من الـ Mu أسفل N ما أقدرش يوصل إذا قوتي أكبر من الـ Mu
+
+308
+00:24:22,230 --> 00:24:27,570
+أسفل N بحركه صح؟ لما يكون على وشك الحركة بيكون الـ
+
+309
+00:24:27,570 --> 00:24:31,580
+Mu أسفل N لما يكون على وشك الحركة بيكون الـ mus في
+
+310
+00:24:31,580 --> 00:24:35,600
+ال in على وشك الحركة أنه خلاص وصل لأقصى قيمة له Fs
+
+311
+00:24:35,600 --> 00:24:43,420
+كيف ان بتأثر عليك؟ كيف بيتأثر عليك؟ حلو جدّيش in
+
+312
+00:24:43,420 --> 00:24:55,560
+لهذه؟ ليش؟ طيب وفيش غيرها؟ جدّيش؟
+
+313
+00:24:58,070 --> 00:25:03,190
+MG N بتساوي MG حلو؟ طيب لو جيت واحدة جيلة N بيزيد
+
+314
+00:25:03,190 --> 00:25:08,030
+ولا لا؟ بيزيد طيب مين احتكاكه أكبر الخفيف ولا
+
+315
+00:25:08,030 --> 00:25:10,950
+الجيل؟ الجيل إذا معناته للجيل اللي دعوه ب N ولا
+
+316
+00:25:10,950 --> 00:25:14,190
+لا؟ إذا اللي اللي دعوه ب N تمام؟ خلاص
+
+317
+00:25:18,020 --> 00:25:21,460
+آه طيب يعني قوة التلامس من أن ترجع أنها صادية و
+
+318
+00:25:21,460 --> 00:25:24,300
+أنها ديكسينية ولا كده؟ أي واحد تلامس، تنتي
+
+319
+00:25:24,300 --> 00:25:27,160
+التلامس، ما قوة احتكاك قوة التلامس خلاص، نعتبرها
+
+320
+00:25:27,160 --> 00:25:35,100
+نفس الاشعار مين فيهم تلامس؟ ما هو
+
+321
+00:25:35,100 --> 00:25:39,460
+يعني بديكيش قوة تلامسك، بقول قوة احتكاك، بديكي قوة
+
+322
+00:25:39,460 --> 00:25:42,480
+احتكاك، خلاص يعني ما قوة احتكاك منين جاية، من
+
+323
+00:25:42,480 --> 00:25:48,250
+التلامس، فهي بصورتها العامة هو التلامس لكن الاسم
+
+324
+00:25:48,250 --> 00:25:53,310
+صار لأن ال N هو التلامس طب أقول N ولا F فبدي أميز
+
+325
+00:25:53,310 --> 00:26:01,780
+منهم غيرها أي صفصة إذا وجدت مفروض أقنعكم شوية أنه
+
+326
+00:26:01,780 --> 00:26:07,180
+قوة احتكاكك بتأثر على ايه؟ هذا التأثير هكلاجو وهذا
+
+327
+00:26:07,180 --> 00:26:10,220
+معاهد قال طب هذا كيف؟ قال هذا باعتمد على طبيعة
+
+328
+00:26:10,220 --> 00:26:16,920
+السطح ناعم ولا خشب كارتون ولا خشب ولا فرمايكا ولا
+
+329
+00:26:16,920 --> 00:26:20,940
+بلاق مادة ما زت بتعتمد؟ إذا هذا ال ميو باعتمد على
+
+330
+00:26:20,940 --> 00:26:25,620
+طبيعة الأسطح المتلامسة هو هيعطينا ايه؟ ال ميو
+
+331
+00:26:25,620 --> 00:26:31,980
+هيعطينا ايه؟ تطلعوا أن FK لها قيمة واحدة بس ميو كي
+
+332
+00:26:31,980 --> 00:26:35,760
+في الـN بس بس هذا ممكن يكون صفر وممكن يطلع ..
+
+333
+00:26:35,760 --> 00:26:39,100
+يطلع .. يطلع .. يطلع لأكبر قيمة له ميو أس في الـN
+
+334
+00:26:39,100 --> 00:26:45,480
+فممنوع أحفظ هذا القانون هذا
+
+335
+00:26:45,480 --> 00:26:50,380
+مش قانون Fs مستوى ميو أس في الـN لأ هذه Fs maximum
+
+336
+00:26:50,380 --> 00:26:53,880
+هي الـ ميو أس في الـN تمام؟ لازم ننقذه الخطأ اللي
+
+337
+00:26:53,880 --> 00:26:55,720
+دايماً موجود
+
+338
+00:26:57,640 --> 00:27:01,840
+طبعاً بيقول لي هذا دا يمشلس constant دا يمشلس يعني
+
+339
+00:27:01,840 --> 00:27:05,620
+بدون وحدات يا بنات نجي نطلع ال U مش بثاوي هنا
+
+340
+00:27:05,620 --> 00:27:12,280
+نطلع ال U مش ثاوي F على N جدّيش F وحدتها و N نيوتن
+
+341
+00:27:12,280 --> 00:27:17,810
+عن نيوتن فشي .. إذا هذا الـ µ بدون وحدات لأنه بدالي
+
+342
+00:27:17,810 --> 00:27:20,410
+نيوتن عن نيوتن بدالت ولا واحدة فهذا
+
+343
+00:27:20,410 --> 00:27:22,930
+الـdimensionless هي معنى الـdimensionless بدون
+
+344
+00:27:22,930 --> 00:27:26,190
+وحدات يعني بيقول لك الـµ سوى نص ما حد يقول لي وحدته
+
+345
+00:27:26,190 --> 00:27:31,830
+خلاص نص رقم بدون وحدات are called ايش بيسموه
+
+346
+00:27:31,830 --> 00:27:35,450
+respectively طبعاً ان هذا أول اسم بيجي لهذا و ثاني
+
+347
+00:27:35,450 --> 00:27:38,770
+اسم بيجي لهذا أول اسم the coefficient of statical
+
+348
+00:27:38,770 --> 00:27:42,620
+friction معامل الاحتكاك السكوني the coefficient
+
+349
+00:27:42,620 --> 00:27:47,960
+of static friction كمعامل بتعرفه coefficient of
+
+350
+00:27:47,960 --> 00:27:51,340
+static friction والتاني coefficient of kinetic
+
+351
+00:27:51,340 --> 00:27:55,480
+friction it is found معاملة كده الديناميكي أو
+
+352
+00:27:55,480 --> 00:27:59,920
+الحركي بالعربي أكثر عربية دلوقتي مع أن الديناميكي
+
+353
+00:27:59,920 --> 00:28:04,500
+اتعربت يعني لكن الديناميكي هي حركي it is found
+
+354
+00:28:04,500 --> 00:28:10,190
+that in US أكبر من ال UK كيف ده؟ خليني أنا وياكم
+
+355
+00:28:10,190 --> 00:28:14,450
+.. عمكم جربتوا حاجة في ضاركم؟ ولا ايش؟ ولا عمكم
+
+356
+00:28:14,450 --> 00:28:19,070
+ساعتوا أخوكم ولا أمكم خزانة تاخدوا؟ بدنا نجرّ
+
+357
+00:28:19,070 --> 00:28:23,610
+الخزانة احنا وياكم في الضار، تمام؟ أول و أنتم
+
+358
+00:28:23,610 --> 00:28:27,290
+بتجروا، بدكم أنتِ و أمك و أخوكي و أبوكي يدقوا نجرّ
+
+359
+00:28:27,290 --> 00:28:33,870
+الخزانة أول ما بدأت تتحرك، تتلاقوا خفت؟ أولها بس،
+
+360
+00:28:33,870 --> 00:28:40,050
+أولها بس، ليش؟ أول قبل ما تتحرك اللي بيكون بعوّقكم
+
+361
+00:28:40,050 --> 00:28:45,930
+Fs Fs هي اللي بتغيبكم بيبقوا بتتغلبوا على أكبر
+
+362
+00:28:45,930 --> 00:28:53,820
+قيمة لها علشان تتحركوها أول ما اتحركت اللي بتنجلب
+
+363
+00:28:53,820 --> 00:29:00,000
+وبيصير بتعوقكم FK و FK مش حركة هي بطلة سكونة اللي
+
+364
+00:29:00,000 --> 00:29:04,680
+بيصير بعيقكم و بعوج حركتكم هي FK و FK أقل من FS
+
+365
+00:29:04,680 --> 00:29:08,540
+فبالتالي لو كنتوا أنتم 100 نيوتن حركتوها بعد ما
+
+366
+00:29:08,540 --> 00:29:15,200
+تتحرك 80 نيوتن اتحافظ على حركتها آدي مثال آخر بلاش
+
+367
+00:29:15,200 --> 00:29:20,040
+خزانة هذه طاولة عنكم الطويلة طاولة تفوت بيوت صحيح؟
+
+368
+00:29:20,040 --> 00:29:24,200
+بحطّركم حاجة بس مش خسارة لو وجعت .. بحطّركم حاجة و
+
+369
+00:29:24,200 --> 00:29:27,320
+جيبوها في الطاولة و قدركم ارفعوا في الطاولة ..
+
+370
+00:29:27,320 --> 00:29:31,620
+ارفعوا في الطاولة .. لما تصيب الجسم على وشك انه
+
+371
+00:29:31,620 --> 00:29:36,640
+يميل .. يسحل .. خليه يسحل شوية .. سحل .. بعد كده
+
+372
+00:29:36,640 --> 00:29:41,730
+نزلوا الطاولة شوية شوية هدّلوا سحل .. هدّلوا سحل،
+
+373
+00:29:41,730 --> 00:29:45,690
+يعني بمعنى آخر، لو رفعتوا الزاوية ثلاثين درجة، كان
+
+374
+00:29:45,690 --> 00:29:49,150
+على وشك أنه ينزل، وبدأ يسحل، بديش أنا خمسين، لو
+
+375
+00:29:49,150 --> 00:29:53,170
+بنزل على الثلاثين، حافظوا على الثلاثين، سحل، خلوها
+
+376
+00:29:53,170 --> 00:29:57,390
+ثمانية وعشرين، هدّلوها ساحة سأبقى هزاة، لماذا؟ لأن
+
+377
+00:29:57,390 --> 00:30:00,750
+أول أول في الآخر أنا بتتغلب على قوة الاحتكاك
+
+378
+00:30:00,750 --> 00:30:04,470
+بالستيكي والزاوية هذه هي اللي بتزودني MG sin
+
+379
+00:30:04,470 --> 00:30:10,010
+الزاوية المركبة تبع الوزن المائلة بقى كل ما زودت
+
+380
+00:30:10,010 --> 00:30:14,810
+الزاوية بخليها تنزل بدي أتغلب على قوة الاحتكاك
+
+381
+00:30:14,810 --> 00:30:20,850
+اللي بتعكسني أول ما تميل و تبدأ تتحرك الكتلة نزلت
+
+382
+00:30:20,850 --> 00:30:25,610
+سطح شوية بتبقى تتحرك وممكن توصل لبدء ما هي ثلاثين
+
+383
+00:30:25,6
+
+431
+00:34:01,700 --> 00:34:07,140
+لفوق،
+
+432
+00:34:10,140 --> 00:34:13,500
+هذا هو .. ايوه .. قاعد بلعب فيها عشان أبين لكم من
+
+433
+00:34:13,500 --> 00:34:16,520
+قوة الاحتكاك .. ملامسة .. وشوفوا أنا هنا بحطها ..
+
+434
+00:34:16,520 --> 00:34:20,620
+بحطها بين السطحين .. بين السطحين .. لأنها .. هي
+
+435
+00:34:20,620 --> 00:34:25,100
+قوة الاحتكاك بتأثر على المحايا من تحت .. لأنها
+
+436
+00:34:25,100 --> 00:34:28,120
+الطاولة بتمس المحايا من تحت .. صحيح ولا لا؟
+
+437
+00:34:28,120 --> 00:34:33,820
+وبالتالي نقطة التأثير جيدة .. تمام The force of
+
+438
+00:34:33,820 --> 00:34:51,160
+static friction هو عكس
+
+439
+00:34:51,160 --> 00:34:56,080
+القوة المؤثرة عكس القوة المؤثرة ها جيت ال laptop
+
+440
+00:34:56,080 --> 00:35:00,560
+أنا بدي أجره يمين تحتكت كيف؟ شمال هاد القوة
+
+441
+00:35:00,560 --> 00:35:05,000
+المؤثرة تبعات الوزن وين؟ down إذا ال friction؟ up
+
+442
+00:35:05,000 --> 00:35:09,100
+إذا دائما عكس القوة المؤثرة تمام؟
+
+443
+00:35:11,820 --> 00:35:15,400
+هو .. لا .. لا .. واحدة واحدة الاحتكاك بيساعد على
+
+444
+00:35:15,400 --> 00:35:18,580
+الحركة ولا بعيق الحركة؟ إذا معناته أنا بجر يمين،
+
+445
+00:35:18,580 --> 00:35:22,600
+بيبقى عكسني؟ بس، سهل العملية، بالبلدي دي، ما بديهاش
+
+446
+00:35:22,600 --> 00:35:26,460
+علم يعني، شغلها منطقية أهيزة الـmechanics،
+
+447
+00:35:26,460 --> 00:35:29,440
+الـmechanics بنعمل أنثى اللي أحنا بنشوفها كل يوم،
+
+448
+00:35:29,440 --> 00:35:34,000
+حياتنا ها
+
+449
+00:35:34,000 --> 00:35:36,540
+يا ها، بقول لك لو كان فيه قوة، شوفوا هم عكس بعض ولا
+
+450
+00:35:36,540 --> 00:35:42,650
+مش عكس بعض، شغلات بنعرفها بس بنتبتها، تمام طب ال
+
+451
+00:35:42,650 --> 00:35:45,710
+force of kinetic friction قال لي هذه سهلة ضد الحركة
+
+452
+00:35:45,710 --> 00:35:50,690
+و خلاص مظبوط ولا لا ال force of kinetic friction is
+
+453
+00:35:50,690 --> 00:35:54,570
+always opposite to the direction of motion طبعا
+
+454
+00:35:54,570 --> 00:36:01,790
+عكس تجاه الحركة طيب قال لي هل جيت أنت توحكت الجثة
+
+455
+00:36:01,790 --> 00:36:07,670
+ارجع لسؤالك التلامس إن جاي من التلامس صح ولا لا و
+
+456
+00:36:07,670 --> 00:36:12,340
+ال friction جايب من التلامس إذا هدول التنتين مسببهم
+
+457
+00:36:12,340 --> 00:36:17,780
+واحد لو قدرت ترجع لنيوتن الثالث هتلاقي التنتين
+
+458
+00:36:17,780 --> 00:36:22,960
+هدول هم جزء من ال reaction نتيجة التلامس أنا ال
+
+459
+00:36:22,960 --> 00:36:26,840
+laptop أثر على الطاولة والطاولة أثرت على ال laptop
+
+460
+00:36:26,840 --> 00:36:30,900
+بقوتين واحدة friction واحدة normal إذا بيقول لي the
+
+461
+00:36:30,900 --> 00:36:34,100
+frictional force together with the normal force
+
+462
+00:36:34,100 --> 00:36:38,100
+constitute بتكوّن لي the two perpendicular
+
+463
+00:36:38,100 --> 00:36:42,400
+components of the reaction force بتمثل لي المركبتين
+
+464
+00:36:42,400 --> 00:36:45,720
+المتعامدين لل reaction هجيت ال reaction force ولا
+
+465
+00:36:45,720 --> 00:36:50,160
+مش force؟ ال reaction رد الفعل force ال force
+
+466
+00:36:50,160 --> 00:36:54,650
+بيكتر ولا كده؟ حلو؟ Any vector can be resolved into
+
+467
+00:36:54,650 --> 00:36:57,810
+two perpendicular components ولا لأ؟ إذن هذا إيه
+
+468
+00:36:57,810 --> 00:37:01,870
+المركبتين؟ واحدة عمودية وواحدة موازية للعمودية
+
+469
+00:37:01,870 --> 00:37:07,210
+اللي هي الصين موازية بردين تمام؟ إذن هدول التنتين
+
+470
+00:37:07,210 --> 00:37:09,950
+هم ال reaction لما واحد يقول لكم اوتي ال reaction مش
+
+471
+00:37:09,950 --> 00:37:13,650
+in حالها normal و ال friction وقت إيش ال reaction
+
+472
+00:37:13,650 --> 00:37:16,370
+بيكون normal لما يكون الصفحة unless؟ مافيش friction
+
+473
+00:37:16,370 --> 00:37:21,160
+صحيح ولا لأ؟ ساعتها ال reaction made بس normal تمام؟
+
+474
+00:37:21,160 --> 00:37:24,580
+إذا بيقول لي the frictional force together with the
+
+475
+00:37:24,580 --> 00:37:27,720
+normal force التنتين بتاعت contact force
+
+476
+00:37:27,720 --> 00:37:30,760
+constitute the two perpendicular components of the
+
+477
+00:37:30,760 --> 00:37:33,600
+reaction force exerted by one of the contact
+
+478
+00:37:33,600 --> 00:37:37,660
+bodies on بعضها واحد على عكس الثاني تمام هيك؟
+
+479
+00:37:37,660 --> 00:37:42,980
+دكتور تحكي لما بتقول لك اوجد رد الفعل find the
+
+480
+00:37:42,980 --> 00:37:45,900
+reaction تجيبش واحدة منهم وتنسي الثانية بتجيب
+
+481
+00:37:45,900 --> 00:37:47,520
+التنتين تمام؟
+
+482
+00:37:49,840 --> 00:37:53,220
+براو عليك يا تو كومبونيس هي بالظبط لما بيدوا ال
+
+483
+00:37:53,220 --> 00:37:57,000
+magnitude هيك بيديكيها ك vector بيحط X جنبها I و
+
+484
+00:37:57,000 --> 00:38:00,820
+Y جنبها J أما ك magnitude بتعمل اللي أنت حكيت له
+
+485
+00:38:00,820 --> 00:38:03,600
+ال square root of the X component squared plus the
+
+486
+00:38:03,600 --> 00:38:06,780
+Y component squared وبعدين بتجيبي إذا بيديكي تجيب
+
+487
+00:38:06,780 --> 00:38:13,740
+ال direction صحيح؟ هد هما هد هو هما ال reaction
+
+488
+00:38:13,740 --> 00:38:20,630
+تنتين طبعا كيف اتجاهه؟ في اتجاه المعين تحتمد على ال
+
+489
+00:38:20,630 --> 00:38:25,310
+magnitude تبعته طيب لأ قايل خمس دقائق حلوين على كل
+
+490
+00:38:25,310 --> 00:38:28,730
+هالكلام اللي حكيناه انطبقوا على الأقل انطبقوا
+
+491
+00:38:28,730 --> 00:38:36,820
+بمثال بسيط جدا لأ خمس دقائق طبعا A block of mass M
+
+492
+00:38:36,820 --> 00:38:42,300
+slides down a rough, inclined plane with the angle
+
+493
+00:38:42,300 --> 00:38:46,860
+of inclination as shown بيقول لك جسم حقه على سطح
+
+494
+00:38:46,860 --> 00:38:52,780
+مائل وخشن Rough عكس Smooth Rough عكس Smooth مرت
+
+495
+00:38:52,780 --> 00:38:57,240
+عليكم كلمة Rough تمام الـ coefficient of kinetic
+
+496
+00:38:57,240 --> 00:39:00,280
+friction ما زالها rough إذا في معامل احتكاك الـ
+
+497
+00:39:00,280 --> 00:39:02,640
+coefficient of kinetic friction between the block
+
+498
+00:39:02,640 --> 00:39:05,920
+and the plane is μ معامل احتكاك ميو مش مدينا أرقام
+
+499
+00:39:05,920 --> 00:39:09,080
+find the acceleration of the block if the block
+
+500
+00:39:09,080 --> 00:39:12,280
+starts from rest at the top of the plane حب إنه
+
+501
+00:39:12,280 --> 00:39:15,440
+أنت بديت زي ما قبل حكيت لكم إن أنا ظلت أتميل أتميل
+
+502
+00:39:15,440 --> 00:39:18,980
+لما بدأت أتحرك فبتبدأ حركتها من السكون بدأت من
+
+503
+00:39:18,980 --> 00:39:23,070
+السكون Find its velocity after it slides a distance
+
+504
+00:39:23,070 --> 00:39:27,150
+D along the plane بعد ما يمشي D جدت سرعتها صارت
+
+505
+00:39:27,150 --> 00:39:33,650
+طبعا المطلوب الثاني سهل هاي اللي جد جدي إن أنا
+
+506
+00:39:33,650 --> 00:39:36,810
+ما بتغيرش حاجة بترسم في بدي انجرام بترسم في بدي
+
+507
+00:39:36,810 --> 00:39:40,210
+انجرام تمام اللي جد أنا في عند احتكاك بدي أعرف
+
+508
+00:39:40,210 --> 00:39:44,270
+أرسمه بدي أعرف أرسمه بس تمام
+
+509
+00:39:47,780 --> 00:39:52,260
+سحب .. sliding .. a block of mass M slides down
+
+510
+00:39:52,260 --> 00:39:59,300
+بنزلق .. يعني بمشي .. تمام؟ هاي طلعنا .. مش ده
+
+511
+00:39:59,300 --> 00:40:01,680
+الاختيار .. هذا اللي ما قدرناش نطلعه .. هاي طلعنا
+
+512
+00:40:01,680 --> 00:40:05,020
+.. قدرنا عليها .. بنرسم everybody D gram .. نرجع
+
+513
+00:40:05,020 --> 00:40:10,640
+.. إيش أول قوة بنعملها؟ Mg .. كيف؟ ما تتغيرش
+
+514
+00:40:12,520 --> 00:40:17,460
+أه ده هي، في حد خلاف عليها دي؟ ولا حاجة، الآن إيش
+
+515
+00:40:17,460 --> 00:40:21,900
+هو اللي دلال؟ شويه واحد، أشيل عمودي على الجسم، أنت
+
+516
+00:40:21,900 --> 00:40:27,820
+جذّك normal، هجيت الكتلة الصفراء أملاز جاب سطح، ونتيجة
+
+517
+00:40:27,820 --> 00:40:31,560
+التنزيل على السطح في عنده قوتين، احتكاكوا normal، ليه
+
+518
+00:40:31,560 --> 00:40:37,380
+سميتها normal؟ لأنها normal، على مين؟ على السطح، مش
+
+519
+00:40:37,380 --> 00:40:42,050
+على الجسم على السطح إيه بتقول لي ع الجسم إنه خلط ع
+
+520
+00:40:42,050 --> 00:40:46,230
+السطح لو ع جسم الجسم هيك تمام لأنه هنرجع للجسم
+
+521
+00:40:46,230 --> 00:40:50,510
+اللي تبعك هذه جسمك وإيه العمودي على الجسم هذا و
+
+522
+00:40:50,510 --> 00:40:53,610
+الله هذا عمودي عليه برضه إذا كان عمودي على اللوح
+
+523
+00:40:53,610 --> 00:40:56,770
+ما فيش عمودي على اللوح اللي عليكي صح لكن عمودي على
+
+524
+00:40:56,770 --> 00:40:58,570
+الجسم هو عمودي على الجسم وهو عمودي على الجسم
+
+525
+00:40:58,570 --> 00:41:02,970
+فبيصير مشكلة لأ عمودي على السطح عشان ما تخبطيش تمام
+
+526
+00:41:02,970 --> 00:41:08,740
+عشان أكون عمودي في خلاف عن أن أكون هيك تمام إيه دا
+
+527
+00:41:08,740 --> 00:41:11,580
+الـreflection؟ الـreflection بيقول يجب أن يكون
+
+528
+00:41:11,580 --> 00:41:16,580
+موازي للعصفة المتلامسة، ذاكرينها؟ موازي، وعكس
+
+529
+00:41:16,580 --> 00:41:23,540
+الحركة، خلصنا، رسمنا صح، no way تخلطوا، هذه الرسمة
+
+530
+00:41:23,540 --> 00:41:29,470
+لحالها عليها أربع درجات أه من عشرة .. بس ترسموها
+
+531
+00:41:29,470 --> 00:41:32,590
+.. ارسموها صح .. وهذا مشكلتي في رسم ال body
+
+532
+00:41:32,590 --> 00:41:36,950
+diagrams .. هاي مشكلتي .. أدلر؟ كل شغل لسه ما بدأش
+
+533
+00:41:36,950 --> 00:41:41,630
+.. بس أنا من قطع أهميتها بديها أربع درجات من كتر
+
+534
+00:41:41,630 --> 00:41:46,890
+أهميتها يعني واحد خلّيني أقول جرفان ما بديش يحل بس
+
+535
+00:41:46,890 --> 00:41:50,230
+طبعا ما مرسومهاش اللي يكون فاهم فهمه بياخد عليه
+
+536
+00:41:50,230 --> 00:41:54,350
+علامات كثير ضعيف كثير حل كثير بس هذا ما يسميه
+
+537
+00:41:54,350 --> 00:42:01,950
+dirty work الشغل اللي سهل سهل الآن نرجع مش أول ..
+
+538
+00:42:01,950 --> 00:42:06,770
+أحكي وخدوعة ده، مريت تحلي البناء على إيش؟ مريت
+
+539
+00:42:06,770 --> 00:42:10,990
+تختاري محاولة لو أخذتو يا بنات محاوركم التقليدية
+
+540
+00:42:10,990 --> 00:42:13,590
+هتتعبوا أفضل حاجة تأخذوا محاور كبيرة
+
+541
+00:42:17,740 --> 00:42:23,060
+اتجاه الـ X مع الـ acceleration مع الحركة ودائما
+
+542
+00:42:23,060 --> 00:42:27,160
+مع اتجاه الحركة قلنا فنزلنا لانزول فبيقول لي taking
+
+543
+00:42:27,160 --> 00:42:32,220
+the X axis along the motion we have to resolve the
+
+544
+00:42:32,220 --> 00:42:36,360
+weight اللي بيظل عندك ساعتها إذا هذه محاورك بتصير
+
+545
+00:42:36,360 --> 00:42:41,800
+هذه صاديه وهذه سينيه سالبة هذه لا هي سينيه ولا هي
+
+546
+00:42:41,800 --> 00:42:47,950
+صاديه بدنا نحللها كيف نحللها؟ تعرفين كيف تحللوها؟
+
+547
+00:42:47,950 --> 00:42:51,510
+هاي .. عشان تصححي .. عشان الـ Theta هاي الـ MG
+
+548
+00:42:51,510 --> 00:42:58,210
+تمام، لما هادي أعمل أنا محاوري هيك فأقول هذه تمام
+
+549
+00:42:58,210 --> 00:43:06,250
+الزاوية Theta بتتمم هذه الزاوية تتمم مجموع من
+
+550
+00:43:06,250 --> 00:43:13,160
+تسعين وهذه وهذه تسعين لأن هذه Theta لأن الـ 90
+
+551
+00:43:13,160 --> 00:43:18,640
+بتنمي مناقصة الزاوية هادي صح؟
+
+552
+00:43:18,640 --> 00:43:23,500
+again؟ الزاوية أنا ضربها X، شايفاها؟ هي وفيتا جدش
+
+553
+00:43:23,500 --> 00:43:30,100
+مجموحهم 90 هادي وهادي جدش، ليش؟ لأن هادي 90
+
+554
+00:43:30,100 --> 00:43:37,860
+والمثلثات جدش 90؟ 100 و80 راح 90 إيش ضارب؟
+
+555
+00:43:37,860 --> 00:43:44,260
+مجموحهم 90 حلو هذا محور وهذا محور متعمديه ولا لأ؟
+
+556
+00:43:44,260 --> 00:43:49,160
+يعني مجموح هادي زاوية جدش 90 إذا إكسو هادي برضه
+
+557
+00:43:49,160 --> 00:43:54,800
+90 وتنتين بتتمموا نفس الزاوية بتساوي النظرية في
+
+558
+00:43:54,800 --> 00:43:59,900
+صفراول الاعدادي ولا سادس، صح؟ إذا θ وهذي θ حلو
+
+559
+00:43:59,900 --> 00:44:04,560
+نجي لل NG، بدي أحللها المجاور بياخد cosine ولا
+
+560
+00:44:04,560 --> 00:44:07,740
+sine؟ cosine طيب، إذا كده أنا بدي أحللها
+
+561
+00:44:07,740 --> 00:44:11,040
+لمواكبتين، هيك وهيك، ليه تأخد cosine؟ هاي ال θ
+
+562
+00:44:11,040 --> 00:44:17,420
+تبعتني، يعني هذي، والتانية، وإذا كنت تجيحها، ضلت
+
+563
+00:44:17,420 --> 00:44:24,900
+sine، حلت ال cosine، ضلت ال sine، إذا X و Y بين و
+
+564
+00:44:24,900 --> 00:44:27,700
+MG كسين الزاوية و MG كصيني الزاوية وانعرف، في حد
+
+565
+00:44:27,700 --> 00:44:31,680
+ما يعرف تحليل الآن؟ واحد بيقول لي مقررة خربطت أنا
+
+566
+00:44:31,680 --> 00:44:35,440
+حطيت ال sign هنا وال cosine هنا، بسمح له؟ لأ، لأ،
+
+567
+00:44:35,440 --> 00:44:39,800
+هذه معلومة سيكلة، احنا خدنا كل الشبطة للأول ليش؟
+
+568
+00:44:39,800 --> 00:44:42,920
+عشان نعرف نحلل، ونيجي الشبطة الرابعة خربط في
+
+569
+00:44:42,920 --> 00:44:45,660
+التحليل، وواحد ما يعرفش ال sign و ال cosine؟ طب
+
+570
+00:44:45,660 --> 00:44:49,540
+هلأ لو بالحل، حلل على أساس إن هو كتب على بسمة صح؟
+
+571
+00:44:49,970 --> 00:44:52,510
+بس إنه على نفسه مش مين تبيّت إنه كان في المطلق بس
+
+572
+00:44:52,510 --> 00:44:56,650
+إنه أنت اتداد إنه sin كيف يعني أنت هنا في الرسمة غلط
+
+573
+00:44:56,650 --> 00:45:00,670
+وفي الحالة الصحيح معناته فيها احنا احتمالين لأن
+
+574
+00:45:00,670 --> 00:45:05,330
+ما يجي جبريل عليه وخلها أو إنه نجل صح ولا لا أنا
+
+575
+00:45:05,330 --> 00:45:07,250
+كثير معه أنا كثير معه أنا كثير معه أنا كثير
+
+576
+00:45:07,250 --> 00:45:08,110
+معه أنا كثير معه أنا كثير معه أنا كثير
+
+577
+00:45:08,110 --> 00:45:08,590
+معه أنا كثير معه أنا كثير معه أنا كثير
+
+578
+00:45:08,590 --> 00:45:08,750
+معه أنا كثير معه أنا كثير معه أنا كثير
+
+579
+00:45:08,750 --> 00:45:15,730
+معه أنا كثير معه أنا كثير معه أنا كثير
+
+580
+00:45:15,730 --> 00:45:16,810
+معه
+
+581
+00:45:20,860 --> 00:45:25,020
+البداية هنا اكتبي هنا صح وخربطي هنا بس أنا بحكي
+
+582
+00:45:25,020 --> 00:45:29,080
+اكتبي هنا صح بس مجموعة تخربطي هنا وتقولي والله
+
+583
+00:45:29,080 --> 00:45:33,860
+نزل لي الوحي بعد كده لأ لأ لأ ما هو هذه معناته إن
+
+584
+00:45:33,860 --> 00:45:39,160
+أنت مبرمج غلط جوا إنه شكل باصم الحلول هيك هيك هيك
+
+585
+00:45:39,160 --> 00:45:41,720
+المفهوم بغض النظر ممكن يكون الكلام يكون صحيحة بس
+
+586
+00:45:41,720 --> 00:45:46,700
+يعني واحد قاعد بينجل من هنا وجالها قصة يعني ما فيش
+
+587
+00:45:46,700 --> 00:45:52,380
+مظبوط أو لا؟ أنت من هنا تبدأ، هنا بتحللي، حللي صح و
+
+588
+00:45:52,380 --> 00:45:55,260
+بعد كده خبصك كمان ما بديك هنا المهم هنا اشتغلي
+
+589
+00:45:55,260 --> 00:46:02,720
+تحليل صح تمام طبعا القوة أنت شايفينها راحت خلاص
+
+590
+00:46:02,720 --> 00:46:07,260
+حللتها عبارة عن just normal عشان ما نخربطش نروح نضيفها
+
+591
+00:46:07,260 --> 00:46:14,480
+كمان مرة، مفهوم، الآن الآن ناقص الـNewton's law في
+
+592
+00:46:14,480 --> 00:46:18,300
+الـ Y axis الـ Y axis عارفين و تبعها مش تبعكم
+
+593
+00:46:18,300 --> 00:46:24,460
+اللي في الذاكرة لا اللي اختارته إن ناقص MG كوساين
+
+594
+00:46:24,460 --> 00:46:26,440
+الزاوية بالساوية Zero ومافيش حركة بدي اتجاهها
+
+595
+00:46:28,490 --> 00:46:33,150
+الحركة هيك، سينيه، ما في حركة صاديه زي اللابتوب
+
+596
+00:46:33,150 --> 00:46:36,030
+اللي بتدجره على الطاولة ما في حركة لأخوك ولا الأسفل
+
+597
+00:46:36,030 --> 00:46:40,610
+وهذه نفس العملية إذن N ناقص M G كوساين الزاوية
+
+598
+00:46:40,610 --> 00:46:43,210
+بتساوي Zero واحد بيقول إيش بدي فيها؟ بيقولوا أنت
+
+599
+00:46:43,210 --> 00:46:48,250
+بدك FK هالجيت و FK بتعتمد على N صح ولا لا؟ إذن بدك
+
+600
+00:46:48,250 --> 00:46:54,530
+N N بتساوي M G كوساين الزاوية، في خلاف؟ اعمل توقع
+
+601
+00:46:54,530 --> 00:47:01,150
+أسرامتها، يمكن أحتاجها نعود للـ X Direction نرجع
+
+602
+00:4
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4aacc067b12c597cb4a4742f532b725d21bd8388
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_postprocess.srt
@@ -0,0 +1,1520 @@
+1
+00:00:21,400 --> 00:00:24,720
+بنقول بسم الله الرحمن الرحيم و نبدأ بالشبطل العاشر
+
+2
+00:00:24,720 --> 00:00:30,190
+إذا كنت ذاكرين بنا إن هذا المادة أو هذه المصاقفيه
+
+3
+00:00:30,190 --> 00:00:34,730
+ثلاث شباتر أساسية كان شبتر أربعة واحد منهم شبتر
+
+4
+00:00:34,730 --> 00:00:39,710
+تمانية شوريش شبتر سبعة التاني وهذا هو التالت هذا
+
+5
+00:00:39,710 --> 00:00:44,130
+من أهم الشباتر الموجودة لأنه بيشمل عدة مواضيع
+
+6
+00:00:44,130 --> 00:00:47,650
+عنوانه هو ال rotational motion إذا كنتوا ذاكرين
+
+7
+00:00:47,650 --> 00:00:51,690
+احنا خدنا ال circular motion في شبتر خمسة ال
+
+8
+00:00:51,690 --> 00:00:56,030
+circular motion هي الحركة الدورانيةو هذه
+
+9
+00:00:56,030 --> 00:01:01,930
+rotational motion لو ترجمها لغويًا حركة دورانية
+
+10
+00:01:01,930 --> 00:01:08,170
+تمام؟ لكن ناخدها الآن بكل تفاصيلها تمام؟ أول حاجة
+
+11
+00:01:08,170 --> 00:01:12,150
+بدنا ناخدها حاجة اسمها ال angular velocity احنا
+
+12
+00:01:12,150 --> 00:01:18,390
+خدنا ال velocity صحيح ولا لأ؟ و السرعة كان تعريفها
+
+13
+00:01:18,390 --> 00:01:22,890
+ومعدّر تغير إزاحة بالنسبة للزمان صحيح ولا لأ؟هذه
+
+14
+00:01:22,890 --> 00:01:26,870
+هي الصراعة العادية وحدتها ايش؟ متر بيرسكنتز متر
+
+15
+00:01:26,870 --> 00:01:33,050
+بيرسكنتز عارفينها تمام لما جسمي يتحرك البعد تبعه
+
+16
+00:01:33,050 --> 00:01:37,770
+اللي هو ال X أو ال Y أو ال Z مش بتغير اذا في عندي
+
+17
+00:01:37,770 --> 00:01:41,230
+أنا coordinates بتغير مع الزمن هذه ال coordinates
+
+18
+00:01:41,230 --> 00:01:46,480
+بجيس تغيره بالنسبة للزمن اتاني الصراعةطبعا .. الآن
+
+19
+00:01:46,480 --> 00:01:49,000
+ما بدي أخلّي ال coordinates هو اللي يتغير بدي
+
+20
+00:01:49,000 --> 00:01:52,580
+أخلّي الزاوية هي اللي تتغير لأن جسمه بدور الزاوية
+
+21
+00:01:52,580 --> 00:01:57,520
+عاملا تتغير .. تمام؟ بدل ما أقول سرعة بدي أقول
+
+22
+00:01:57,520 --> 00:02:02,600
+الآن معدل تغير زاوية بالنسبة للزمان مش معدل تغير
+
+23
+00:02:02,600 --> 00:02:07,640
+إزاحة .. زاوية عشان كده سميتها سرعة زاوية Angular
+
+24
+00:02:07,640 --> 00:02:11,740
+Velocity لإن المتغير عندى الآن الشواء الزاوية ما
+
+25
+00:02:11,740 --> 00:02:18,260
+هوش ال coordinates العادي لأنابأعرفه، اذا بقولي
+
+26
+00:02:18,260 --> 00:02:23,300
+خليني أشوف هالشكل، عندي عجل بدور، عجل، أي عجل، زي
+
+27
+00:02:23,300 --> 00:02:27,470
+الهواية، شايفينها؟ ده شكلها مش كالدورخلّيني أشوف
+
+28
+00:02:27,470 --> 00:02:31,150
+لنقطة من النقاط و أحطها على الهواية و أطلع عليها
+
+29
+00:02:31,150 --> 00:02:34,470
+يعني أجيب مصمار و أدقه في الهواية و الهواية بتدور
+
+30
+00:02:34,470 --> 00:02:38,050
+بتطلع على المصمار بيكون بتحرح في دائرة ولا لأ؟ في
+
+31
+00:02:38,050 --> 00:02:41,250
+دائرة إذا بيقول consider a rigid body rigid body
+
+32
+00:02:41,250 --> 00:02:46,610
+جسم صلب صلب تمام rotates about a fixed axis بلوف
+
+33
+00:02:46,610 --> 00:02:49,670
+حوالي ال axis ثابت اللي هو بالنسبة أن الهواية هو
+
+34
+00:02:49,670 --> 00:02:54,780
+العمود هذا هذا axis بتلف حوالي الهوايةThrough
+
+35
+00:02:54,780 --> 00:03:00,980
+point O المعلجة هنا النقطة O هي نقطة ارتكاز المحور
+
+36
+00:03:00,980 --> 00:03:05,600
+تمام اي particle at point P هذه ال particle المصمر
+
+37
+00:03:05,600 --> 00:03:09,680
+اللي تقولنا عنه المصمر هنا دجيته وهذه بتلف اذا
+
+38
+00:03:09,680 --> 00:03:15,150
+المناطق بتتحرك في دائرة زي هيك صح ولا لأ؟ تمامأي
+
+39
+00:03:15,150 --> 00:03:20,170
+موضوع في موقع P في هذا الجسم الصحيح يتحول إلى مجلس
+
+40
+00:03:20,170 --> 00:03:26,670
+راديوس R حوالي O تمام الانجل فيتا والجسم بي بيلف
+
+41
+00:03:26,670 --> 00:03:30,690
+بتظهر ثابتة ولا بالزيت جاعدة بالزيت بالزيت زي ما
+
+42
+00:03:30,690 --> 00:03:34,290
+الجسم جاعد بمشي مش جاعدة اكس تبعته بالزيت وهذه
+
+43
+00:03:34,290 --> 00:03:39,430
+فيتا جاعدة بالزيت تمام الانجل بين R و اكسل الـ
+
+44
+00:03:39,430 --> 00:03:43,850
+positive هو اعتبرتها ذيتااللي أنا عارف إيش بنقول
+
+45
+00:03:43,850 --> 00:03:47,910
+at the point P moves around the circle وP بتتحرك
+
+46
+00:03:47,910 --> 00:03:53,230
+the angle θ تتغير تتغير تكبر while R remains
+
+47
+00:03:53,230 --> 00:03:57,910
+constant بيبقى ثابت مفهومة بقولي ما زال كده θ
+
+48
+00:03:57,910 --> 00:04:04,310
+سيرفز هتشتغل كشغل ال coordinates بدل Xبجل ما انا
+
+49
+00:04:04,310 --> 00:04:07,850
+عندي X اللي فيتغير، ايش اللي هيتغير الان؟ فيتا هي
+
+50
+00:04:07,850 --> 00:04:13,810
+المتغير تبعيه فيتا تعمل كمعاملة لتفسير مقاطع
+
+51
+00:04:13,810 --> 00:04:18,710
+البرتقال اللي في البرتقال حلو الانجل، طيب احنا في
+
+52
+00:04:18,710 --> 00:04:19,330
+النهاية
+
+53
+00:04:26,450 --> 00:04:30,830
+النهاية، يجب أن يكون لدي علاقة ما بين X المعرفة
+
+54
+00:04:30,830 --> 00:04:37,190
+واليزاحة اللي معرفة وما بين الزاوية تمام، العلاقة
+
+55
+00:04:37,190 --> 00:04:41,490
+اللي بدي أربط ما بين الزاوية والعلاقات السابقة،
+
+56
+00:04:41,490 --> 00:04:46,550
+المسافة اللي مشيتها الخطية، النقطة B كانت هنا،
+
+57
+00:04:46,550 --> 00:04:52,370
+صارت هنا، إيش المسافة اللي مشيتها؟مسافة هي مش فيك
+
+58
+00:04:52,370 --> 00:04:58,290
+ليش تعمل متلف ولا حاجة طول الجوس هل الجوس له علاقة
+
+59
+00:04:58,290 --> 00:05:03,350
+بالزاوية؟ نص القطر في الزاوية نص القطر في الزاوية
+
+60
+00:05:03,350 --> 00:05:09,330
+المحيط إيش في الزاوية؟ من هنا القانون جاي لإن
+
+61
+00:05:09,330 --> 00:05:14,410
+المحيط جوس وانا مش جوس المحيط جوس إيش الزاوية
+
+62
+00:05:14,410 --> 00:05:20,500
+المحصورة؟ الزاوية في نص القطر والله منهوالله منه،
+
+63
+00:05:20,500 --> 00:05:26,760
+تمام؟ نفس القانون، اذا بيقوللي اصلا المسافة بتسوي
+
+64
+00:05:26,760 --> 00:05:30,880
+R في فيتا والمحيط فيتا حطت بينها اتنين باي بس
+
+65
+00:05:30,880 --> 00:05:37,680
+وشغلها منطقية انه يكمل، تمام؟قال لي حسنًا، الآن
+
+66
+00:05:37,680 --> 00:05:43,840
+أنا بدي أدى أمشي هنا الـ units of θة بنعرفها إما
+
+67
+00:05:43,840 --> 00:05:47,520
+degree أو radian صح ولا لأ؟ التعامل معنا هيكون
+
+68
+00:05:47,520 --> 00:05:51,480
+radian بصورة إيمالية والradian بسوء 360 على 2πي
+
+69
+00:05:51,480 --> 00:05:55,480
+كلكم عارفينها صحيح ولا لأ؟ وبالتالي بسوء حوالي ..
+
+70
+00:05:55,480 --> 00:05:59,580
+أما الكل دعوة تحويلها، بنعرفها بسهولة لأنه إحنا
+
+71
+00:05:59,580 --> 00:06:06,070
+بنقول كيف بنعملها؟ بنقول الـ πايتحط 180؟ مظبرا لأ؟
+
+72
+00:06:06,070 --> 00:06:09,430
+و بنشتري على هذا نفترض تلاتين درجة I can buy
+
+73
+00:06:09,430 --> 00:06:17,550
+بديها، صح؟ فسهل التعامل معها okay الان خلينا نخش
+
+74
+00:06:17,550 --> 00:06:21,930
+بالتفاصيل قاللي طيب انا لما تتغير الزاوية في عندي
+
+75
+00:06:21,930 --> 00:06:26,400
+سرعاتفي فيزيا في الـ chapter التاني أخدت سرعة
+
+76
+00:06:26,400 --> 00:06:31,140
+متوسطة و سرعة لحظية السرعة المتوسطة هي المعدل تغير
+
+77
+00:06:31,140 --> 00:06:33,940
+إزاحة بالنسبة للزمن Delta X على Delta T إذا أحنا
+
+78
+00:06:33,940 --> 00:06:37,060
+نجيب X و نحط محلها فيك تصبح Delta في ده على Delta
+
+79
+00:06:37,060 --> 00:06:41,320
+T إذا مافيش خوانن جديدة بيقوللي in analogy to the
+
+80
+00:06:41,320 --> 00:06:44,300
+linear velocity تناظر مع ال linear velocity اللي
+
+81
+00:06:44,300 --> 00:06:47,890
+أخدتها هذه كما سميها linear velocityعشان اميز ما
+
+82
+00:06:47,890 --> 00:06:51,710
+بين ال angular velocity angular من angle وlinear
+
+83
+00:06:51,710 --> 00:06:55,510
+منوع انه قاعد يتحرك بالخط فهذه angular من angle
+
+84
+00:06:55,510 --> 00:07:00,790
+زاوية angular velocity بيقولي the average angular
+
+85
+00:07:00,790 --> 00:07:06,490
+velocity تمام؟ of a particle متحرك من نقطة ايه
+
+86
+00:07:06,490 --> 00:07:10,430
+لنقطة بيه مكان هنا أو إليها بدل ما كان خط مستقيم
+
+87
+00:07:10,430 --> 00:07:16,140
+زاوية تمام؟ أيش بدي أعرفها؟الرمز اتغير ما هوش V
+
+88
+00:07:16,140 --> 00:07:19,960
+صار Omega ال average إيش ما نحط الشرقة ولا ما
+
+89
+00:07:19,960 --> 00:07:24,380
+نحطهاش هاي الشرقة الموجودة بدل Delta X على Delta T
+
+90
+00:07:24,380 --> 00:07:27,780
+صارت Delta Theta على Delta T Delta Theta على Delta
+
+91
+00:07:27,780 --> 00:07:30,820
+T يعني Theta final نقل Theta initial على Theta
+
+92
+00:07:30,820 --> 00:07:34,380
+final نقل Theta initial فيه جديد صعد محفظه من أول
+
+93
+00:07:34,380 --> 00:07:37,820
+جديد نفس القانون تبقى شبط لإتنين Game of X ماشي
+
+94
+00:07:37,820 --> 00:07:42,200
+حطه معاها Theta بتبطي ال V بتصير Omega سرعة زاوية
+
+95
+00:07:42,200 --> 00:07:46,100
+تمةطيب، قولين Instantaneous، إيش Instantaneous
+
+96
+00:07:46,100 --> 00:07:51,360
+بالتباعتنا؟ مش تقلق إيش؟ ال X بالنسبالي الزمن،
+
+97
+00:07:51,360 --> 00:07:57,420
+بتجيب X و تحط محلها؟ تاس، إذا هتكون Omega بيسوي Dθ
+
+98
+00:07:57,420 --> 00:08:02,420
+على Dt، يا ربي مصحبها علم جديد، مافيش علم جديد،
+
+99
+00:08:02,420 --> 00:08:09,680
+نفس الشغل، تغيير رموز، تمع، حلوبقول طيب اتفقنا
+
+100
+00:08:09,680 --> 00:08:16,100
+الصرعة اللي بنعرفها وحدتها جديش؟ متر على سكن طب
+
+101
+00:08:16,100 --> 00:08:21,560
+هذه متر؟ لا و هذه؟ هل بقدر أقول متر على سكن؟ لأ لأ
+
+102
+00:08:21,560 --> 00:08:23,280
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+103
+00:08:23,280 --> 00:08:24,500
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+104
+00:08:24,500 --> 00:08:26,560
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+105
+00:08:26,560 --> 00:08:31,920
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+106
+00:08:31,920 --> 00:08:33,580
+لأ ل
+
+107
+00:08:36,710 --> 00:08:41,510
+والله هي التردد نفسه التردد ديش وحدته؟ جابني ال
+
+108
+00:08:41,510 --> 00:08:46,250
+hairs واحد ع سكن، واحد ع سكن الزاوية مانهاش واحدة
+
+109
+00:08:46,250 --> 00:08:49,590
+في الآخر، مانهاش واحدة، لما اقول bye تبقى تقعد 14
+
+110
+00:08:49,590 --> 00:08:54,970
+%، مورقة، مظبوط ولا؟ ال theta، bye، اذا الواحدة
+
+111
+00:08:54,970 --> 00:08:59,230
+تبعت الواحد ع second، اذا هذه واحدة الترددولكن في
+
+112
+00:08:59,230 --> 00:09:03,270
+البداية بيقولوا ما هي بتشبه السرعة سببها سرعة لكن
+
+113
+00:09:03,270 --> 00:09:08,650
+هي سرعة زاوية ولكن وحدتها مختلفة عن السرعة بيقولي
+
+114
+00:09:08,650 --> 00:09:13,670
+زي ما انت شايف في الرسمة omega وحدتها لا بكتب
+
+115
+00:09:13,670 --> 00:09:17,730
+radian per second او بكتب واحد ع second و بس كله
+
+116
+00:09:17,730 --> 00:09:22,430
+صح ليه ايش؟ بيقولي ان انت اصلا من هنا خليني ارجع
+
+117
+00:09:22,430 --> 00:09:31,670
+على هذا القانون شايفينه؟ ايش وحدت هذه؟متر ايش
+
+118
+00:09:31,670 --> 00:09:40,850
+وحدتها؟ متر، متر، متر، متر، متر، متر، متر، متر،
+
+119
+00:09:40,850 --> 00:09:46,390
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+120
+00:09:46,390 --> 00:09:46,690
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+121
+00:09:46,690 --> 00:09:49,030
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+122
+00:09:49,030 --> 00:09:49,050
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+123
+00:09:49,050 --> 00:09:49,370
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+124
+00:09:49,370 --> 00:09:49,390
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+125
+00:09:49,390 --> 00:09:54,250
+متر، متر،
+
+126
+00:09:54,250 --> 00:09:58,960
+متر،طلّو حبل و طول و بدّيش متر فالـ ghost واحدة و
+
+127
+00:09:58,960 --> 00:10:02,240
+اتو متر و نص القطر طول عمره واحدة و اتو متر مازال
+
+128
+00:10:02,240 --> 00:10:04,340
+هذا متر و هذا متر و هذا متر ممنعه كل واحدة
+
+129
+00:10:04,340 --> 00:10:08,140
+وبالتالي مالوش واحدات وبالتالي ال radiant بنحط هيك
+
+130
+00:10:08,140 --> 00:10:11,540
+بس للولد صغير عشان في الأول يقولك ورا حط الثيتا
+
+131
+00:10:11,540 --> 00:10:17,500
+أما هو مالوش واحدة بيقولي the unit of omega is
+
+132
+00:10:17,500 --> 00:10:21,040
+radian per second or simply واحد على second أو أص
+
+133
+00:10:21,040 --> 00:10:26,490
+نخس واحدطيب السرعة احنا عارفينها vector والوميجا
+
+134
+00:10:26,490 --> 00:10:31,330
+is a vector also اذا the direction of اوميجا بيكون
+
+135
+00:10:31,330 --> 00:10:36,710
+مع محور الدوران مع محور الدوران وهذه بتدور وين
+
+136
+00:10:36,710 --> 00:10:41,570
+اتجاه اوميجا مع العصاية هذه محور الدوران طيب مع
+
+137
+00:10:41,570 --> 00:10:45,460
+عصاية لفوق ولا لتحك؟ قاللي هذه اللي بتجيبهاالهواية
+
+138
+00:10:45,460 --> 00:10:49,540
+لما تلف كيف بتلف؟ هيك إذا المعناه تقوم جاكف
+
+139
+00:10:49,540 --> 00:10:53,060
+اتجاهها لأعلى، لو بتلف لعكس بصحي اللي أسفل، سهلة،
+
+140
+00:10:53,060 --> 00:10:57,040
+تمام؟ إيديكم هذه كتير تعلمتها، تمام؟ تلعبوا رياضة
+
+141
+00:10:57,040 --> 00:11:01,060
+فيها، مافيش أسهل منها، تمام؟ بس إيدي اليمين، مش
+
+142
+00:11:01,060 --> 00:11:05,540
+إيدي واحد أشوال يقول تبفعيش شوية يا إسمها، ممكنش،
+
+143
+00:11:05,540 --> 00:11:09,770
+ممكن تبقى إيده اليمين، لإنه بتعكسبتناقص إذا راح
+
+144
+00:11:09,770 --> 00:11:13,830
+على أيديه وإيش معنى تمام الـ direction of omega is
+
+145
+00:11:13,830 --> 00:11:17,880
+along the axis of rotationهي هيك أُرّفت لأن في
+
+146
+00:11:17,880 --> 00:11:21,520
+cross product بينتي هي أصلها يعني علاقة ال V و
+
+147
+00:11:21,520 --> 00:11:24,240
+الأوميجا في cross product و ال cross product
+
+148
+00:11:24,240 --> 00:11:26,880
+بيعطيك ال direction التالت و ال direction التالت
+
+149
+00:11:26,880 --> 00:11:32,120
+مينفعش اللي يجيبيه هيك لأن هذا عمودي على هدول هذا
+
+150
+00:11:32,120 --> 00:11:35,120
+.. احنا ليش بنعمل هيك؟ هدول تلاتة directions يا
+
+151
+00:11:35,120 --> 00:11:41,280
+بنات أصابع الأربعة بيعملوا plane صح؟ هي .. بيعملوا
+
+152
+00:11:41,280 --> 00:11:45,390
+طاولة و أصبعي بيعمل ال Z axisزي هدول، هدول ليش
+
+153
+00:11:45,390 --> 00:11:51,370
+بيعملوه هيك؟ X و Y و Z و هدول بيحلوا محل ال X و Y
+
+154
+00:11:51,370 --> 00:11:55,450
+التانية مع بعض و بيظل هدا ال Z فهدا X و Y و هدا Z
+
+155
+00:11:55,450 --> 00:11:58,850
+و هدول X و Y و Z كل واحد فاهمتي ليش؟ عشان تكون في
+
+156
+00:11:58,850 --> 00:12:01,330
+عندنا cross product في الأصل واحدة واحدة، لسه احنا
+
+157
+00:12:01,330 --> 00:12:04,490
+قاعدين بيقول بسم الله في الشطرة الشطرة الطوية تمام
+
+158
+00:12:05,720 --> 00:12:09,260
+إذا الاتجاه من أوميجا هو من خلال أكسيس الروتيشن
+
+159
+00:12:09,260 --> 00:12:15,200
+بمعنى .. هجت لفوق ولا لأتحد؟ الاتجاه هو مستمر من
+
+160
+00:12:15,200 --> 00:12:18,080
+القوانين اليمينية اليمينية اليمينية اللي توجدتم
+
+161
+00:12:18,080 --> 00:12:23,060
+إياها وهيه .. نفسرها، أيش بقول؟ كان الـ four
+
+162
+00:12:23,060 --> 00:12:30,610
+fingers الأربع أصابع تبعتهالفهم مع الدوران لفهم مع
+
+163
+00:12:30,610 --> 00:12:35,050
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+164
+00:12:35,050 --> 00:12:36,050
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+165
+00:12:36,050 --> 00:12:36,650
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+166
+00:12:36,650 --> 00:12:39,730
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+167
+00:12:39,730 --> 00:12:40,750
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+168
+00:12:40,750 --> 00:12:40,850
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+169
+00:12:40,850 --> 00:12:41,030
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+170
+00:12:41,030 --> 00:12:43,150
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+171
+00:12:43,150 --> 00:12:46,410
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+172
+00:12:46,410 --> 00:12:51,800
+الدورانخلّصنا ال velocity و قمنا رمزها omega و
+
+173
+00:12:51,800 --> 00:12:55,740
+وعدتها واحد على second او radian per second و في
+
+174
+00:12:55,740 --> 00:12:59,340
+average velocity و في instantaneous velocity زي
+
+175
+00:12:59,340 --> 00:13:03,060
+هذه طب و ال acceleration؟ قاليني هي نفس القضية ال
+
+176
+00:13:03,060 --> 00:13:06,680
+acceleration تبعتي ايه؟ average سوى delta V على
+
+177
+00:13:06,680 --> 00:13:10,890
+delta T صح؟هذه العادية اللي انا بدي اجيبها في وقت
+
+178
+00:13:10,890 --> 00:13:14,630
+محله omega بصير angular acceleration و برضه
+
+179
+00:13:14,630 --> 00:13:19,570
+رمزونها بالرمز alpha رمز مختلف اذا بيقولي برضه the
+
+180
+00:13:19,570 --> 00:13:23,670
+average angular acceleration of a particle is
+
+181
+00:13:23,670 --> 00:13:28,810
+defined as alpha average بيسوي delta omega على
+
+182
+00:13:28,810 --> 00:13:32,570
+delta T omega final نقص omega initial على T final
+
+183
+00:13:32,570 --> 00:13:37,930
+نقص T initial بنفس المبدأ و بنفس القوانينطيب الـ
+
+184
+00:13:37,930 --> 00:13:41,830
+Instantaneous Angular Acceleration اللي رمزها
+
+185
+00:13:41,830 --> 00:13:47,170
+Alpha كيف تبدي بها؟ بأشطق الـ Vehicle بتشطق الـ
+
+186
+00:13:47,170 --> 00:13:51,150
+Omega هل جيه؟ إذا معناته The Instantaneous Angular
+
+187
+00:13:51,150 --> 00:13:54,950
+Acceleration is defined as Alpha equal D Omega على
+
+188
+00:13:54,950 --> 00:13:59,470
+DT أو المستقبل تاني لثيتا بالنسبة لـT ايه عشان
+
+189
+00:13:59,470 --> 00:14:04,400
+واحد بتقول Alpha؟الثاني نقص اتنين واحد ع سكن تربيع
+
+190
+00:14:04,400 --> 00:14:06,480
+واحد ع سكن تربيع
+
+191
+00:14:15,050 --> 00:14:18,270
+قالت لي طب انت بعديها بعد ما خلصت هذه الشغلة اشتقت
+
+192
+00:14:18,270 --> 00:14:22,030
+تلات خوارين ذاكرينهم؟ V بالسوء و V not plus it
+
+193
+00:14:22,030 --> 00:14:26,170
+أعيدهم V لأن في كتير منكم خربطوا .. مش حافظينهم
+
+194
+00:14:26,170 --> 00:14:30,190
+هدول مع أنكم جايين من توديه متعودين على البصل ليش
+
+195
+00:14:30,190 --> 00:14:35,200
+هدوم الرصاص اللي هم ماشي؟ ماعرفتش اللي صموهمحتى
+
+196
+00:14:35,200 --> 00:14:43,660
+هدول، طيب X بيسوي V0 في T plus half AT² و V² equal
+
+197
+00:14:43,660 --> 00:14:48,100
+V0² plus 2AX، ذاكرين هم على أقل هاجت مش حاصينهم،
+
+198
+00:14:48,100 --> 00:14:52,120
+ذاكرين في قوانين زي إيه؟ ذاكرين، اتطلعوا هدول كان
+
+199
+00:14:52,120 --> 00:14:57,600
+شرطهم إن إيه تكون ثابتة، المفروض يطلع عندي قوانين
+
+200
+00:14:57,600 --> 00:15:02,780
+مناظرة، بس وين في X أحط محلة فيتاوين في V أحط
+
+201
+00:15:02,780 --> 00:15:07,260
+محالها Omega وين في A أحط محالها Alpha صح ولا لا؟
+
+202
+00:15:07,260 --> 00:15:10,260
+هي كانت أصل لأن أنا ماعملتش أي شيء، غيرت رموز
+
+203
+00:15:10,260 --> 00:15:14,340
+تمام، rotation with constant Alpha يعني بدل ما إيه
+
+204
+00:15:14,340 --> 00:15:17,660
+constant، بيقولي خلّي Alpha تكون constant تمام،
+
+205
+00:15:17,660 --> 00:15:22,340
+جالي نبدأ Alpha مش هي دي Omega عادي تي، محالة دي
+
+206
+00:15:22,340 --> 00:15:25,980
+تكبرنا في الكالكوراس، نفهم شوية كالكوراس، صح؟ اضرب
+
+207
+00:15:25,980 --> 00:15:30,940
+وضرب تبادل، صار في شغل جديد؟فاهمين يعني؟ بنكامل
+
+208
+00:15:30,940 --> 00:15:35,580
+طرفيا لمعادلة بصح اللي؟ إيش تكامل الـG Omega؟
+
+209
+00:15:35,580 --> 00:15:40,260
+Omega طبعا لو بدي أقول من ابتدائي لنهائي من Omega
+
+210
+00:15:40,260 --> 00:15:43,360
+Note ل Omega بصير Omega نقص Omega Note ولا لا؟ و
+
+211
+00:15:43,360 --> 00:15:48,620
+هذه بصير Alpha ثابتة برا التكامل إيش تكامل الـDT؟
+
+212
+00:15:48,620 --> 00:15:55,500
+T من صفر لـT، T إذا بصير عندىفي شي غريب عملته؟ يلا
+
+213
+00:15:55,500 --> 00:16:00,300
+بدنا نكمل الطرف العيسر بتجيلي Omega ناقص Omega
+
+214
+00:16:00,300 --> 00:16:05,900
+Note طب علنا هي راكن عليكم و أنتم تفهموها يعني
+
+215
+00:16:09,810 --> 00:16:13,430
+هكملناها احكي هنا ألفة ثابتة طب ليش؟ أحنا قولنا
+
+216
+00:16:13,430 --> 00:16:18,450
+ألفة هنا بتعتمد على الزمن يعني بتتغير مين قالك؟ هو
+
+217
+00:16:18,450 --> 00:16:23,250
+يعني إيش أفرجك إيه عن هذا؟ لو أنا قلت لك .. اه هذا
+
+218
+00:16:23,250 --> 00:16:28,790
+شرطي .. هذا شرطي يعني هي التصارع الجانبية مش تصارع
+
+219
+00:16:28,790 --> 00:16:33,710
+ثابت لمثالي و هذا هي في الشغل بتعمل بتزيد شوي شوي
+
+220
+00:16:33,710 --> 00:16:35,290
+و بعدين تثبت تمام
+
+221
+00:16:39,620 --> 00:16:46,060
+إيه تكامل دي Omega؟ إيه تكامل دي X؟ إيه تكامل دي
+
+222
+00:16:46,060 --> 00:16:50,040
+Y؟ إيه تكامل دي Omega؟ حرام بقى Omega ممنوعة تكون
+
+223
+00:16:50,040 --> 00:16:53,760
+لعالى X بنفع و Y بنفع و Omega ممنوعة فكامل دي
+
+224
+00:16:53,760 --> 00:16:56,200
+Omega و Omega قبل ما أقول من Omega Not ل Omega
+
+225
+00:16:56,200 --> 00:16:59,800
+مادي بس Omega نقص Omega Not أه فإيه Omega نقص
+
+226
+00:16:59,800 --> 00:17:02,820
+Omega Not بالساوية هذه جبت هنا عملت شغلة جديدة
+
+227
+00:17:02,820 --> 00:17:06,920
+فصلت Omega بالساوية Omega Not هجيت إيه أفراجة هذه؟
+
+228
+00:17:07,650 --> 00:17:14,910
+عن هذه بدي ال V حطيت Omega و بدي ال A حطيت Alpha
+
+229
+00:17:14,910 --> 00:17:20,630
+ال T بتتغير؟ ال T رقم صحيح بحاجة ممكن أغيرها تمام؟
+
+230
+00:17:20,630 --> 00:17:27,270
+حلو فهمناها الحفظ هذه بيحفظ هذه بدأت شطارة تمام مش
+
+231
+00:17:27,270 --> 00:17:31,110
+مقول في قول الله قوانين جديدة مش قوانين جديدة طيب
+
+232
+00:17:31,110 --> 00:17:35,150
+جالي طيب برضه انت توا قلتلي Omega بيساوي Dθ على Dt
+
+233
+00:17:35,150 --> 00:17:40,630
+ولا لأ؟حلو؟ طب Omega2 طلعتها لسه بيساوي Omega2 زي
+
+234
+00:17:40,630 --> 00:17:45,290
+Alpha T المعادل هادي جالي بيبقى أخدها و أشعكها
+
+235
+00:17:45,290 --> 00:17:49,570
+بيقولك أه مانا ماتا و اشتقتها استخدمها استخدمناها
+
+236
+00:17:49,570 --> 00:17:54,850
+جالي حلو أضرب ضرب تبادل يه أضرب ضرب تبادل يه بيصير
+
+237
+00:17:54,850 --> 00:17:59,150
+دي فيتة على الطرف هذيك لحالها وهذا كله بيضحك جنبه
+
+238
+00:17:59,150 --> 00:18:06,280
+ايش؟ DT يعني بيصير هيكصحيح؟ بدي أكامل طرفي
+
+239
+00:18:06,280 --> 00:18:11,860
+المعادلة، يلّا نكامل من
+
+240
+00:18:11,860 --> 00:18:15,660
+θ نوت لثيتا أو من سفر لثيتا، اللي بدكم إيه؟ إيش
+
+241
+00:18:15,660 --> 00:18:21,220
+تكامل الـD ثيتا؟ ثيتا نقل ثيتا نوت، طيب هذه omega
+
+242
+00:18:21,220 --> 00:18:26,780
+نوت في T زائد هذه T دي T، T تربيع ع 2، فصارت هيك
+
+243
+00:18:28,030 --> 00:18:33,730
+فيتا زي هذه جيبوا فيتا نترا وهو حق إذا فيتا ها
+
+244
+00:18:33,730 --> 00:18:36,630
+اللي بتغلبهم هدوة نترا هي هو بتهاشي الناس فيها
+
+245
+00:18:36,630 --> 00:18:42,830
+هتبعوها Zero ففيتا بتسوء مجنونك في T زي نص A T
+
+246
+00:18:42,830 --> 00:18:46,190
+Square بس عبحث
+
+247
+00:18:49,770 --> 00:18:52,870
+هدى غالبا، مانديش أقول دايما، لأنه .. بس غالبا
+
+248
+00:18:52,870 --> 00:18:56,310
+هنبدأ من الـ Zero، بإمكانك تخلي Zero دايما يعني،
+
+249
+00:18:56,310 --> 00:19:00,170
+تمام؟ ايه ضال؟ ضال هدى، ذاكين كيف جيبناها هدى؟
+
+250
+00:19:01,660 --> 00:19:05,760
+والله جيبنا team in hand وعوّقناها مظبوط ولا لأ؟
+
+251
+00:19:05,760 --> 00:19:09,680
+جواكم اختلفت المعاجلات الى .. الرموز اختلفت صح؟
+
+252
+00:19:09,680 --> 00:19:13,180
+اذا لو انا جيب ال team in hand وعوّقها تطلع عادي
+
+253
+00:19:13,180 --> 00:19:17,040
+ولا لأ؟ نفس المعاجلة خلاص eliminating T from
+
+254
+00:19:17,040 --> 00:19:20,240
+equation 2 from the two equations يعني بيقول جيب
+
+255
+00:19:20,240 --> 00:19:23,000
+ال team اللى فوق الأولى منيا وحطها هنا هتطلع كأمك
+
+256
+00:19:23,000 --> 00:19:28,140
+المعاجلة هذه بدا الشطارة أعملتها قبل كده فيش جيه؟
+
+257
+00:19:29,170 --> 00:19:33,930
+سهل هذا الشرطة طويل بس سهل ومهم لكن فيه تكرار
+
+258
+00:19:33,930 --> 00:19:37,990
+تكرار للمعلومات السابقة اللي أخدناها بس بحلة جديدة
+
+259
+00:19:37,990 --> 00:19:45,080
+برموز جديدةبقولي هذه الـ three equations are of
+
+260
+00:19:45,080 --> 00:19:50,720
+the same forms as those for linear motion with
+
+261
+00:19:50,720 --> 00:19:53,200
+their blessing. بقولي هذه زي التلاتة اللي خدناها
+
+262
+00:19:53,200 --> 00:19:56,980
+في ال chapter two، إيش اللي اتغير؟ قال لي X حلت
+
+263
+00:19:56,980 --> 00:20:03,910
+محل فيتا و V راح تصرفي Omega و A Alphaتمام هيك؟
+
+264
+00:20:03,910 --> 00:20:06,970
+طبعا الواحد بيقول انا وردي مصحبة كيف بدي أحفظها؟ X
+
+265
+00:20:06,970 --> 00:20:12,830
+إزاحة و θ إزاحة V سرعة و Omega سرعة A acceleration
+
+266
+00:20:12,830 --> 00:20:16,850
+و Alpha acceleration صحيح إنه نجيب بينهم علاقة
+
+267
+00:20:16,850 --> 00:20:20,830
+نخيز أسهل منها تمام؟ نفدا حلو؟
+
+268
+00:20:23,870 --> 00:20:28,810
+سؤال بيقول لي a wheel عجلة rotates with constant
+
+269
+00:20:28,810 --> 00:20:33,630
+angular acceleration of 3.5 radian per second
+
+270
+00:20:33,630 --> 00:20:38,170
+squared with constant angular acceleration is an
+
+271
+00:20:38,170 --> 00:20:41,350
+acceleration ثابتة ثلاثة و نص .. إذا بيقول ثابتة
+
+272
+00:20:41,350 --> 00:20:45,610
+لما بيقول كيش؟ جالك هيها if the angular velocity
+
+273
+00:20:45,610 --> 00:20:49,030
+of the wheel is two radian per second التي بالساوي
+
+274
+00:20:49,030 --> 00:20:55,300
+zero أول مبادية كان له سرعة تمام؟اعتبروا الهوية
+
+275
+00:20:55,300 --> 00:21:00,640
+كانت شغالة .. كانت شغالة .. إيه هالسرعة؟ طفيتها ..
+
+276
+00:21:00,640 --> 00:21:03,800
+بتجف على طول؟ لأ .. بتاخد الهوية من هناك لبثة ..
+
+277
+00:21:03,800 --> 00:21:07,420
+قبل ما تجف طب على ساعتها .. جالية بتتصارى ولا
+
+278
+00:21:07,420 --> 00:21:10,860
+بتتباطأ؟ بره .. بره .. يعني التصارع هيطلع معاه ..
+
+279
+00:21:10,860 --> 00:21:13,860
+موجب ولا سالب؟ سالب .. سالب .. براو عليكم .. ليه
+
+280
+00:21:13,860 --> 00:21:17,200
+شاطرين أنتم هنا وفي الامتحانات مش شاطرين؟ الله
+
+281
+00:21:17,200 --> 00:21:20,200
+يخبر بيت الامتحان اللي .. اللي زود وجهكم بالدنيا
+
+282
+00:21:20,200 --> 00:21:27,150
+.. تمام؟What angle does the wheel rotate through
+
+283
+00:21:27,150 --> 00:21:30,450
+in two seconds؟ بيقول لي بقى الـ two second إيش
+
+284
+00:21:30,450 --> 00:21:34,430
+الزاوية اللي قطعها؟ تمام؟ What is the angular
+
+285
+00:21:34,430 --> 00:21:37,970
+velocity of T equal two seconds؟ بقى ال two
+
+286
+00:21:37,970 --> 00:21:43,230
+seconds جدّيش كانت سرعته؟ تمام؟ بيقوللي الآن إيش
+
+287
+00:21:43,230 --> 00:21:47,950
+بده بالأول؟ بده ال angle، بده ثيتا يعني، ثيتا، ما
+
+288
+00:21:47,950 --> 00:21:51,490
+يمعرفين التلاتة، اللي ثيتا التاني والتالت، صح؟
+
+289
+00:21:52,330 --> 00:21:55,430
+التالت فيه سرعة نهائية مش موجودين إياها مافيش حول
+
+290
+00:21:55,430 --> 00:21:58,150
+ولا وراء، مافيش إلا غير التاني فبنقول يا سلام
+
+291
+00:21:58,150 --> 00:22:01,850
+أسهلها تمام؟
+
+292
+00:22:01,850 --> 00:22:05,710
+theta equal theta naught plus omega naught T plus
+
+293
+00:22:05,710 --> 00:22:10,130
+R E T square Omega naught two radian per second
+
+294
+00:22:10,130 --> 00:22:16,050
+مظبوط ولا لأ؟ تمام و T two second ألف ما أعطيني
+
+295
+00:22:16,050 --> 00:22:20,890
+إياها هي theta، 11 radian طب مين يقول إياها كام
+
+296
+00:22:20,890 --> 00:22:27,230
+لفة؟ع تنين باي بقدر أقول ع كام لفة ولا لأ؟ يعني هو
+
+297
+00:22:27,230 --> 00:22:32,690
+ماشي 11 radian كزاوية ع كام لفة متساوية؟ بيقول كل
+
+298
+00:22:32,690 --> 00:22:36,230
+لفة 2 radian، two by radian جسم ع تنين باي بيقول ع
+
+299
+00:22:36,230 --> 00:22:42,580
+كام لفة ماشيت بعد two second حلوالان ماذا يحتاج
+
+300
+00:22:42,580 --> 00:22:45,380
+المطبوق الثاني؟ ماهي الـ Angular Velocity؟ يحتاج
+
+301
+00:22:45,380 --> 00:22:48,820
+أوميجا نهائية لا في الأولى ولا في الأخيرة، لكن
+
+302
+00:22:48,820 --> 00:22:52,860
+الأولى أسهل تمام؟ إذا بقدر موجود عندى وخارصة
+
+303
+00:22:52,860 --> 00:22:56,240
+فبقولوا omega equal omega naught plus alpha T
+
+304
+00:22:56,240 --> 00:23:00,620
+والمعطيات عندى طلعت omega equal nine radian per
+
+305
+00:23:00,620 --> 00:23:08,730
+second تمام، هذا سؤال ببسيط، ده شوية بسبس نعمل هذا
+
+306
+00:23:08,730 --> 00:23:12,110
+الموضوع سهل بلا معاهم كتير انتوا كونوا عايزين
+
+307
+00:23:12,110 --> 00:23:17,850
+طالبة على طول انا معايا الساعة اتخافوش هديكم وقتكم
+
+308
+00:23:17,850 --> 00:23:23,030
+بالراحة relationship between angular and linear
+
+309
+00:23:23,030 --> 00:23:26,410
+variables هجيت قوة بدهوا يقولوا تمام انا امنت في
+
+310
+00:23:26,410 --> 00:23:31,430
+Omega غير عن V وفي ثيتا غير عن X وفي Alpha غير عن
+
+311
+00:23:31,430 --> 00:23:34,850
+A بس بدهوا العلاقات اللي بينهمبيجربوا بعض؟ بيقولوا
+
+312
+00:23:34,850 --> 00:23:39,170
+أه بيجربوا بعض صح ولا لأ؟ بيبقى نشوف هذه الجرابة
+
+313
+00:23:39,170 --> 00:23:44,790
+كيف هي تمام؟ بيقوللي نبدأ من القانون اللي انا
+
+314
+00:23:44,790 --> 00:23:49,750
+كتبتلكم مياه الجوز بتسوي اه في الزاوية المحصورة
+
+315
+00:23:49,750 --> 00:23:53,430
+مظبوط ولا لأ؟ انت نجبتي مياه الجوز بتسوي نص القطر
+
+316
+00:23:53,430 --> 00:23:58,750
+في الزاوية المحصورة جالي طيبلو انا فضلك بالنسبة
+
+317
+00:23:58,750 --> 00:24:04,510
+للزمن بصحلي صحلك هذا ثابت احنا نتفقين هذي مش هي
+
+318
+00:24:04,510 --> 00:24:10,470
+سرعة طب و هذي مش هي Omega اذا هي أول أولاقة V
+
+319
+00:24:10,470 --> 00:24:17,650
+بتساوي R في Omega اشتقلت؟ اه اشتقلت هي أول أولاقة
+
+320
+00:24:17,650 --> 00:24:22,470
+طيب اتبعوا يا بنات هذي ايش وحدتها
+
+321
+00:24:25,370 --> 00:24:32,950
+متر في ار ثانية وهذه واحدة على السنة صح .. صح
+
+322
+00:24:32,950 --> 00:24:38,210
+وبالتالي امجا واحدة على ثانية تامة تانجينشال
+
+323
+00:24:38,210 --> 00:24:43,090
+اكسلاريشين جالي الاكسلاريشين لما خدت في شبطر خمسة
+
+324
+00:24:43,090 --> 00:24:47,970
+كنا نقول تانجينشال وcentripetal نص قطرية او مماسية
+
+325
+00:24:47,970 --> 00:24:52,710
+المماسية قلت عنها هي معدّر تغيّل ال speed بالنسبة
+
+326
+00:24:52,710 --> 00:24:56,290
+للزمنوالـ .. الـ centripetal يقول الـ V تربيع على
+
+327
+00:24:56,290 --> 00:25:02,330
+A صح؟ ذاكرين هو؟ الحمد لله بقول A ثيتا بيساوي DV
+
+328
+00:25:02,330 --> 00:25:08,850
+على DT Speed طيب V ما هي هي؟ R في Omega R في Omega
+
+329
+00:25:08,850 --> 00:25:13,270
+كل شي هذه كتل واحد هي Alpha هذه Alpha إذا هذه
+
+330
+00:25:13,270 --> 00:25:19,010
+Alpha إذا A ثيتا بتسوي R في Alpha إذا العلاقة بين
+
+331
+00:25:19,010 --> 00:25:24,210
+Alpha بتيجي مع A ثيتا مش مع أيه كلهاعادي شي؟ بعيد
+
+332
+00:25:24,210 --> 00:25:27,450
+انتوا اللي قاعدين بتقشروا عاديكم حاجة بعيد اتش
+
+333
+00:25:27,450 --> 00:25:32,330
+ليه؟ هل جيت هنا .. هنا انت؟ شايفين المعادلة هذه؟
+
+334
+00:25:32,330 --> 00:25:35,750
+اشتقوا طرفيا المعادلة بالنسبة للزمن اشتقوا طرفيا
+
+335
+00:25:35,750 --> 00:25:38,890
+المعادلة بالنسبة للزمن على اعتبار ان R is constant
+
+336
+00:25:38,890 --> 00:25:44,130
+فقولت DS على DT R عشان ال constant قولت Dθ على DT
+
+337
+00:25:44,130 --> 00:25:48,230
+هجيت هذه ازاحة بالنسبة للزمن هي السرعة وهذه زاوية
+
+338
+00:25:48,230 --> 00:25:51,670
+بالنسبة للزمن هي Omega فطلعت NDV بتسوي R في Omega
+
+339
+00:25:52,260 --> 00:25:57,160
+تمام؟ هنا رجعت لتعريف الـ tangential acceleration
+
+340
+00:25:57,160 --> 00:26:01,440
+قولت الـ derivative أو التغيير من السرعة بالنسبة
+
+341
+00:26:01,440 --> 00:26:09,380
+لـ T سرعة السرعة هي R في Omega عوّضت محالها وقالت
+
+342
+00:26:09,380 --> 00:26:14,720
+D Omega على DT هي Alpha طيب ال radial acceleration
+
+343
+00:26:14,720 --> 00:26:17,560
+جال ال radial acceleration أو الcentripetal
+
+344
+00:26:17,560 --> 00:26:22,980
+acceleration بتربيع على Rجالي ايه؟ R بتساوي D
+
+345
+00:26:22,980 --> 00:26:28,340
+تربيع على R طب مش هذه عبارة عن Omega تربيع R تربيع
+
+346
+00:26:28,340 --> 00:26:32,760
+هذه جيبت من هنا و ربعتها هذه R تربيع و في المقام R
+
+347
+00:26:32,760 --> 00:26:37,120
+صارت R Omega تربيع إذا المعناته ال acceleration لو
+
+348
+00:26:37,120 --> 00:26:41,080
+بدي اكتبها أكا مركبة لها مركبتين بدي أجيب ال
+
+349
+00:26:41,080 --> 00:26:44,120
+magnitude تبعها بربع الأولى و بربع التانية تحت
+
+350
+00:26:44,120 --> 00:26:47,540
+الجذب تمام؟
+
+351
+00:26:48,370 --> 00:26:52,010
+ولو جيت عملت طلعت R عام المشترك فطلعت Alpha تربيع
+
+352
+00:26:52,010 --> 00:26:55,730
+زاد Omega أس أربعة بدهاش حفظ يعني بس مجرد هذه
+
+353
+00:26:55,730 --> 00:27:01,210
+الشخصية عالية بس؟ تمام بس
+
+354
+00:27:01,210 --> 00:27:06,160
+هال ملاحظة و نقطة بقول لي for a rigid bodyنرجع
+
+355
+00:27:06,160 --> 00:27:11,140
+للهواية Rotating about a fixed axis every particle
+
+356
+00:27:11,140 --> 00:27:14,880
+on the body had the same angular velocity and the
+
+357
+00:27:14,880 --> 00:27:17,560
+same angular acceleration يعني هذه الهواية هي
+
+358
+00:27:17,560 --> 00:27:23,760
+بتدور لو أقول بتعمل خمس لفات في الثانية هل في نقطة
+
+359
+00:27:23,760 --> 00:27:29,120
+منهم بتعمل عشرة؟ كلهم زي بعض لكن السؤال الآن مين
+
+360
+00:27:29,120 --> 00:27:34,260
+أسرق ك velocity عادية النقطة اللي أقرب لل axis ولا
+
+361
+00:27:34,260 --> 00:27:39,580
+الأبعدلا أقرب لا أقرب ولا لا أبعد لا أبعد لا أبعد
+
+362
+00:27:39,580 --> 00:27:42,040
+لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+363
+00:27:42,040 --> 00:27:45,260
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+364
+00:27:45,260 --> 00:27:48,720
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+365
+00:27:48,720 --> 00:27:52,000
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+366
+00:27:52,000 --> 00:27:54,500
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+367
+00:27:54,500 --> 00:27:57,220
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+368
+00:27:57,220 --> 00:27:58,840
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+369
+00:27:58,840 --> 00:27:58,860
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+370
+00:27:58,860 --> 00:28:03,350
+أبعد لا أبعد لا أبوبالتالي السرعة من نقطة لنقطة
+
+371
+00:28:03,350 --> 00:28:06,870
+بتتغير لكن أوميجا و ألفا بتتغيرش لأن أوميجا و ألفا
+
+372
+00:28:06,870 --> 00:28:09,830
+بيقول أكم دورة بيعملوا في الثانية هم كلهم بيعملوا
+
+373
+00:28:09,830 --> 00:28:12,690
+فبيقول لي for a rigid body rotating about a fixed
+
+374
+00:28:12,690 --> 00:28:16,670
+axis every particle on the body أي نقطة had the
+
+375
+00:28:16,670 --> 00:28:20,050
+same angular velocity نفس أوميجا أوميجا ثابتة and
+
+376
+00:28:20,050 --> 00:28:23,070
+the same angular acceleration why the linear
+
+377
+00:28:23,070 --> 00:28:27,640
+velocity اللي هو V وAdiffer from point to point
+
+378
+00:28:27,640 --> 00:28:30,820
+بيكون مختلفة من نقطة لنقطة بتعتمد على البعد اللي
+
+379
+00:28:30,820 --> 00:28:34,800
+أقرب بتكون أبطأ واللي أبعد بتكون أسرع أو بنحكيها
+
+380
+00:28:34,800 --> 00:28:35,440
+بالتفاصيل
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..dae4dbdd6588f357a8bcda154f2ad0ce3acb8a9c
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2918, "start": 21.4, "end": 29.18, "text": "بنقول بسم الله الرحمن الرحيم و نبدأ بالشبطل العاشر إذا كنت ذاكرين بنا إن هذا المادة أو هذه المصاق", "tokens": [3555, 1863, 39648, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 8717, 44510, 10721, 20666, 8592, 3555, 9566, 1211, 18863, 33599, 2288, 11933, 15730, 9122, 29399, 29910, 995, 37983, 9957, 4724, 8315, 36145, 23758, 9673, 18513, 3660, 34051, 29538, 9673, 9381, 995, 4587], "avg_logprob": -0.34986413691354834, "compression_ratio": 1.5304347826086957, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 21.400000000000002, "end": 22.12, "word": "بنقول", "probability": 0.3016357421875}, {"start": 22.12, "end": 22.36, "word": " بسم", "probability": 0.931396484375}, {"start": 22.36, "end": 22.52, "word": " الله", "probability": 0.8486328125}, {"start": 22.52, "end": 22.88, "word": " الرحمن", "probability": 0.9638671875}, {"start": 22.88, "end": 23.24, "word": " الرحيم", "probability": 0.9939778645833334}, {"start": 23.24, "end": 23.34, "word": " و", "probability": 0.681640625}, {"start": 23.34, "end": 23.62, "word": " نبدأ", "probability": 0.8250325520833334}, {"start": 23.62, "end": 24.12, "word": " بالشبطل", "probability": 0.610205078125}, {"start": 24.12, "end": 24.72, "word": " العاشر", "probability": 0.85986328125}, {"start": 24.72, "end": 25.34, "word": " إذا", "probability": 0.601318359375}, {"start": 25.34, "end": 25.6, "word": " كنت", "probability": 0.993896484375}, {"start": 25.6, "end": 26.08, "word": " ذاكرين", "probability": 0.7747802734375}, {"start": 26.08, "end": 26.46, "word": " بنا", "probability": 0.671875}, {"start": 26.46, "end": 26.76, "word": " إن", "probability": 0.475341796875}, {"start": 26.76, "end": 27.22, "word": " هذا", "probability": 0.488525390625}, {"start": 27.22, "end": 28.34, "word": " المادة", "probability": 0.9344075520833334}, {"start": 28.34, "end": 28.48, "word": " أو", "probability": 0.88671875}, {"start": 28.48, "end": 28.64, "word": " هذه", "probability": 0.5478515625}, {"start": 28.64, "end": 29.18, "word": " المصاق", "probability": 0.74383544921875}], "temperature": 1.0}, {"id": 2, "seek": 5447, "start": 29.83, "end": 54.47, "text": "فيه ثلاث شباتر أساسية كان شبتر أربعة واحد منهم شبتر تمانية شوريش شبتر سبعة التاني وهذا هو التالت هذا من أهم الشباتر الموجودة لأنه بيشمل عدة مواضيع عنوانه هو ال rotational motion إذا كنتوا ذاكرين احنا خدنا ال circular motion في شبتر خمسة ال circular motion هي الحركة الدورانية", "tokens": [41185, 3224, 38637, 1211, 5718, 104, 13412, 3555, 9307, 2288, 5551, 3794, 32277, 10632, 25961, 13412, 3555, 2655, 2288, 5551, 25513, 27884, 36764, 24401, 9154, 16095, 13412, 3555, 2655, 2288, 46811, 7649, 10632, 13412, 13063, 1829, 8592, 13412, 3555, 2655, 2288, 8608, 3555, 27884, 16712, 7649, 1829, 37037, 15730, 31439, 16712, 6027, 2655, 23758, 9154, 5551, 16095, 25124, 3555, 9307, 2288, 9673, 29245, 23328, 3660, 5296, 33456, 3224, 4724, 1829, 8592, 42213, 6225, 41891, 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0.8419596354166666}, {"start": 33.05, "end": 33.41, "word": " واحد", "probability": 0.878662109375}, {"start": 33.41, "end": 33.81, "word": " منهم", "probability": 0.9765625}, {"start": 33.81, "end": 34.73, "word": " شبتر", "probability": 0.910888671875}, {"start": 34.73, "end": 35.67, "word": " تمانية", "probability": 0.7999674479166666}, {"start": 35.67, "end": 36.27, "word": " شوريش", "probability": 0.5235595703125}, {"start": 36.27, "end": 36.57, "word": " شبتر", "probability": 0.86199951171875}, {"start": 36.57, "end": 37.01, "word": " سبعة", "probability": 0.9542643229166666}, {"start": 37.01, "end": 37.87, "word": " التاني", "probability": 0.8427734375}, {"start": 37.87, "end": 38.21, "word": " وهذا", "probability": 0.8359375}, {"start": 38.21, "end": 38.37, "word": " هو", "probability": 0.96044921875}, {"start": 38.37, "end": 38.93, "word": " التالت", "probability": 0.96240234375}, {"start": 38.93, "end": 39.71, "word": " هذا", "probability": 0.7890625}, {"start": 39.71, "end": 39.95, "word": " من", "probability": 0.978515625}, {"start": 39.95, "end": 40.15, "word": " أهم", "probability": 0.953857421875}, {"start": 40.15, "end": 41.15, "word": " الشباتر", "probability": 0.88232421875}, {"start": 41.15, "end": 41.85, "word": " الموجودة", "probability": 0.9737548828125}, {"start": 41.85, "end": 42.45, "word": " لأنه", "probability": 0.8367513020833334}, {"start": 42.45, "end": 42.83, "word": " بيشمل", "probability": 0.890380859375}, {"start": 42.83, "end": 43.23, "word": " عدة", "probability": 0.968994140625}, {"start": 43.23, "end": 44.13, "word": " مواضيع", "probability": 0.9569091796875}, {"start": 44.13, "end": 45.07, "word": " عنوانه", "probability": 0.863037109375}, {"start": 45.07, "end": 45.21, "word": " هو", "probability": 0.424072265625}, {"start": 45.21, "end": 45.27, "word": " ال", "probability": 0.73681640625}, {"start": 45.27, "end": 45.61, "word": " rotational", "probability": 0.489990234375}, {"start": 45.61, "end": 46.31, "word": " motion", 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0.8056640625}, {"start": 58.07, "end": 59.11, "word": " ترجمها", "probability": 0.8465576171875}, {"start": 59.11, "end": 60.11, "word": " لغويًا", "probability": 0.807958984375}, {"start": 60.11, "end": 60.97, "word": " حركة", "probability": 0.7960611979166666}, {"start": 60.97, "end": 61.93, "word": " دورانية", "probability": 0.91162109375}, {"start": 61.93, "end": 62.77, "word": " تمام؟", "probability": 0.5856119791666666}, {"start": 62.77, "end": 63.23, "word": " لكن", "probability": 0.84033203125}, {"start": 63.23, "end": 63.67, "word": " ناخدها", "probability": 0.7264404296875}, {"start": 63.67, "end": 64.07, "word": " الآن", "probability": 0.7080078125}, {"start": 64.07, "end": 64.83, "word": " بكل", "probability": 0.94482421875}, {"start": 64.83, "end": 66.19, "word": " تفاصيلها", "probability": 0.99326171875}, {"start": 66.19, "end": 67.57, "word": " تمام؟", "probability": 0.6878255208333334}, {"start": 67.57, "end": 67.89, "word": " أول", "probability": 0.884765625}, {"start": 67.89, "end": 68.17, "word": " حاجة", "probability": 0.9466145833333334}, {"start": 68.17, "end": 68.37, "word": " بدنا", "probability": 0.522552490234375}, {"start": 68.37, "end": 68.77, "word": " ناخدها", "probability": 0.9874267578125}, {"start": 68.77, "end": 69.09, "word": " حاجة", "probability": 0.8583984375}, {"start": 69.09, "end": 69.63, "word": " اسمها", "probability": 0.94189453125}, {"start": 69.63, "end": 70.23, "word": " ال", "probability": 0.456298828125}, {"start": 70.23, "end": 70.85, "word": " angular", "probability": 0.74951171875}, {"start": 70.85, "end": 71.75, "word": " velocity", "probability": 0.8134765625}, {"start": 71.75, "end": 72.15, "word": " احنا", "probability": 0.732177734375}, {"start": 72.15, "end": 72.39, "word": " خدنا", "probability": 0.810791015625}, {"start": 72.39, "end": 72.51, "word": " ال", "probability": 0.86083984375}, {"start": 72.51, "end": 72.83, "word": " velocity", "probability": 0.95068359375}, {"start": 72.83, "end": 73.73, "word": " صحيح", "probability": 0.940673828125}, {"start": 73.73, "end": 73.89, "word": " ولا", "probability": 0.90087890625}, {"start": 73.89, "end": 75.39, "word": " لأ؟", "probability": 0.83251953125}, {"start": 75.39, "end": 75.55, "word": " و", "probability": 0.330810546875}, {"start": 75.55, "end": 77.11, "word": " السرعة", "probability": 0.8085123697916666}, {"start": 77.11, "end": 77.81, "word": " كان", "probability": 0.98046875}, {"start": 77.81, "end": 78.39, "word": " تعريفها", "probability": 0.9842529296875}, {"start": 78.39, "end": 78.93, "word": " ومعدّر", "probability": 0.76787109375}, {"start": 78.93, "end": 79.37, "word": " تغير", "probability": 0.9171549479166666}, {"start": 79.37, "end": 80.11, "word": " إزاحة", "probability": 0.8067626953125}, {"start": 80.11, "end": 80.89, "word": " بالنسبة", "probability": 0.95654296875}, {"start": 80.89, "end": 81.31, "word": " للزمان", "probability": 0.8597412109375}, {"start": 81.31, "end": 81.67, "word": " صحيح", 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velocity", "probability": 0.75634765625}, {"start": 1697.75, "end": 1698.03, "word": " نفس", "probability": 0.95458984375}, {"start": 1698.03, "end": 1698.51, "word": " أوميجا", "probability": 0.97060546875}, {"start": 1698.51, "end": 1698.95, "word": " أوميجا", "probability": 0.880859375}, {"start": 1698.95, "end": 1699.59, "word": " ثابتة", "probability": 0.9609375}, {"start": 1699.59, "end": 1700.05, "word": " and", "probability": 0.92431640625}, {"start": 1700.05, "end": 1700.23, "word": " the", "probability": 0.90234375}, {"start": 1700.23, "end": 1700.53, "word": " same", "probability": 0.89990234375}, {"start": 1700.53, "end": 1700.95, "word": " angular", "probability": 0.88818359375}, {"start": 1700.95, "end": 1701.77, "word": " acceleration", "probability": 0.8759765625}, {"start": 1701.77, "end": 1702.45, "word": " why", "probability": 0.5107421875}, {"start": 1702.45, "end": 1702.67, "word": " the", "probability": 0.888671875}, {"start": 1702.67, "end": 1703.07, "word": " linear", "probability": 0.9296875}, {"start": 1703.07, "end": 1703.67, "word": " velocity", "probability": 0.8359375}, {"start": 1703.67, "end": 1703.91, "word": " اللي", "probability": 0.89501953125}, {"start": 1703.91, "end": 1704.11, "word": " هو", "probability": 0.9716796875}, {"start": 1704.11, "end": 1704.43, "word": " V", "probability": 0.7490234375}, {"start": 1704.43, "end": 1705.51, "word": " وA", "probability": 0.6190185546875}], "temperature": 1.0}, {"id": 71, "seek": 171544, "start": 1706.3, "end": 1715.44, "text": "differ from point to point بيكون مختلفة من نقطة لنقطة بتعتمد على البعد اللي أقرب بتكون أبطأ واللي أبعد بتكون أسرع أو بنحكيها بالتفاصيل", "tokens": [67, 12612, 490, 935, 281, 935, 4724, 1829, 30544, 3714, 46456, 46538, 3660, 9154, 8717, 47432, 3660, 5296, 1863, 47432, 3660, 39894, 34268, 2304, 3215, 15844, 29739, 22488, 13672, 1829, 5551, 4587, 25513, 39894, 30544, 5551, 3555, 9566, 10721, 16070, 20292, 5551, 3555, 22488, 39894, 30544, 5551, 3794, 2288, 3615, 34051, 44945, 5016, 4117, 1829, 11296, 20666, 2655, 5172, 33546, 26895], "avg_logprob": -0.19443044450975233, "compression_ratio": 1.5273972602739727, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1706.3, "end": 1706.72, "word": "differ", "probability": 0.4815673828125}, {"start": 1706.72, "end": 1706.98, "word": " from", "probability": 0.861328125}, {"start": 1706.98, "end": 1707.26, "word": " point", "probability": 0.9716796875}, {"start": 1707.26, "end": 1707.4, "word": " to", "probability": 0.9736328125}, {"start": 1707.4, "end": 1707.64, "word": " point", "probability": 0.97802734375}, {"start": 1707.64, "end": 1707.94, "word": " بيكون", "probability": 0.6660563151041666}, {"start": 1707.94, "end": 1708.34, "word": " مختلفة", "probability": 0.959716796875}, {"start": 1708.34, "end": 1708.4, "word": " من", "probability": 0.96533203125}, {"start": 1708.4, "end": 1708.66, "word": " نقطة", "probability": 0.9837239583333334}, {"start": 1708.66, "end": 1709.0, "word": " لنقطة", "probability": 0.9364013671875}, {"start": 1709.0, "end": 1709.4, "word": " بتعتمد", "probability": 0.70343017578125}, {"start": 1709.4, "end": 1709.52, "word": " على", "probability": 0.82080078125}, {"start": 1709.52, "end": 1709.9, "word": " البعد", "probability": 0.93017578125}, {"start": 1709.9, "end": 1710.82, "word": " اللي", "probability": 0.6195068359375}, {"start": 1710.82, "end": 1711.46, "word": " أقرب", "probability": 0.880859375}, {"start": 1711.46, "end": 1711.94, "word": " بتكون", "probability": 0.910400390625}, {"start": 1711.94, "end": 1712.4, "word": " أبطأ", "probability": 0.8289794921875}, {"start": 1712.4, "end": 1713.12, "word": " واللي", "probability": 0.78271484375}, {"start": 1713.12, "end": 1713.5, "word": " أبعد", "probability": 0.951171875}, {"start": 1713.5, "end": 1713.86, "word": " بتكون", "probability": 0.9423828125}, {"start": 1713.86, "end": 1714.28, "word": " أسرع", "probability": 0.9896240234375}, {"start": 1714.28, "end": 1714.4, "word": " أو", "probability": 0.29736328125}, {"start": 1714.4, "end": 1714.8, "word": " بنحكيها", "probability": 0.90546875}, {"start": 1714.8, "end": 1715.44, "word": " بالتفاصيل", "probability": 0.9822265625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1716.094, "duration_after_vad": 1644.7656249999982}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..770020f6937f7bebc6ab3fe74f3c6e330498b7b8
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/X1uzfMttdNg_raw.srt
@@ -0,0 +1,1528 @@
+1
+00:00:21,400 --> 00:00:24,720
+بنقول بسم الله الرحمن الرحيم و نبدأ بالشبطل العاشر
+
+2
+00:00:24,720 --> 00:00:30,190
+إذا كنت ذاكرين بنا إن هذا المادة أو هذه المصاقفيه
+
+3
+00:00:30,190 --> 00:00:34,730
+ثلاث شباتر أساسية كان شبتر أربعة واحد منهم شبتر
+
+4
+00:00:34,730 --> 00:00:39,710
+تمانية شوريش شبتر سبعة التاني وهذا هو التالت هذا
+
+5
+00:00:39,710 --> 00:00:44,130
+من أهم الشباتر الموجودة لأنه بيشمل عدة مواضيع
+
+6
+00:00:44,130 --> 00:00:47,650
+عنوانه هو ال rotational motion إذا كنتوا ذاكرين
+
+7
+00:00:47,650 --> 00:00:51,690
+احنا خدنا ال circular motion في شبتر خمسة ال
+
+8
+00:00:51,690 --> 00:00:56,030
+circular motion هي الحركة الدورانيةو هذه
+
+9
+00:00:56,030 --> 00:01:01,930
+rotational motion لو ترجمها لغويًا حركة دورانية
+
+10
+00:01:01,930 --> 00:01:08,170
+تمام؟ لكن ناخدها الآن بكل تفاصيلها تمام؟ أول حاجة
+
+11
+00:01:08,170 --> 00:01:12,150
+بدنا ناخدها حاجة اسمها ال angular velocity احنا
+
+12
+00:01:12,150 --> 00:01:18,390
+خدنا ال velocity صحيح ولا لأ؟ و السرعة كان تعريفها
+
+13
+00:01:18,390 --> 00:01:22,890
+ومعدّر تغير إزاحة بالنسبة للزمان صحيح ولا لأ؟هذه
+
+14
+00:01:22,890 --> 00:01:26,870
+هي الصراعة العادية وحدتها ايش؟ متر بيرسكنتز متر
+
+15
+00:01:26,870 --> 00:01:33,050
+بيرسكنتز عارفينها تمام لما جسمي يتحرك البعد تبعه
+
+16
+00:01:33,050 --> 00:01:37,770
+اللي هو ال X أو ال Y أو ال Z مش بتغير اذا في عندي
+
+17
+00:01:37,770 --> 00:01:41,230
+أنا coordinates بتغير مع الزمن هذه ال coordinates
+
+18
+00:01:41,230 --> 00:01:46,480
+بجيس تغيره بالنسبة للزمن اتاني الصراعةطبعا .. الآن
+
+19
+00:01:46,480 --> 00:01:49,000
+ما بدي أخلّي ال coordinates هو اللي يتغير بدي
+
+20
+00:01:49,000 --> 00:01:52,580
+أخلّي الزاوية هي اللي تتغير لأن جسمه بدور الزاوية
+
+21
+00:01:52,580 --> 00:01:57,520
+عاملا تتغير .. تمام؟ بدل ما أقول سرعة بدي أقول
+
+22
+00:01:57,520 --> 00:02:02,600
+الآن معدل تغير زاوية بالنسبة للزمان مش معدل تغير
+
+23
+00:02:02,600 --> 00:02:07,640
+إزاحة .. زاوية عشان كده سميتها سرعة زاوية Angular
+
+24
+00:02:07,640 --> 00:02:11,740
+Velocity لإن المتغير عندى الآن الشواء الزاوية ما
+
+25
+00:02:11,740 --> 00:02:18,260
+هوش ال coordinates العادي لأنابأعرفه، اذا بقولي
+
+26
+00:02:18,260 --> 00:02:23,300
+خليني أشوف هالشكل، عندي عجل بدور، عجل، أي عجل، زي
+
+27
+00:02:23,300 --> 00:02:27,470
+الهواية، شايفينها؟ ده شكلها مش كالدورخلّيني أشوف
+
+28
+00:02:27,470 --> 00:02:31,150
+لنقطة من النقاط و أحطها على الهواية و أطلع عليها
+
+29
+00:02:31,150 --> 00:02:34,470
+يعني أجيب مصمار و أدقه في الهواية و الهواية بتدور
+
+30
+00:02:34,470 --> 00:02:38,050
+بتطلع على المصمار بيكون بتحرح في دائرة ولا لأ؟ في
+
+31
+00:02:38,050 --> 00:02:41,250
+دائرة إذا بيقول consider a rigid body rigid body
+
+32
+00:02:41,250 --> 00:02:46,610
+جسم صلب صلب تمام rotates about a fixed axis بلوف
+
+33
+00:02:46,610 --> 00:02:49,670
+حوالي ال axis ثابت اللي هو بالنسبة أن الهواية هو
+
+34
+00:02:49,670 --> 00:02:54,780
+العمود هذا هذا axis بتلف حوالي الهوايةThrough
+
+35
+00:02:54,780 --> 00:03:00,980
+point O المعلجة هنا النقطة O هي نقطة ارتكاز المحور
+
+36
+00:03:00,980 --> 00:03:05,600
+تمام اي particle at point P هذه ال particle المصمر
+
+37
+00:03:05,600 --> 00:03:09,680
+اللي تقولنا عنه المصمر هنا دجيته وهذه بتلف اذا
+
+38
+00:03:09,680 --> 00:03:15,150
+المناطق بتتحرك في دائرة زي هيك صح ولا لأ؟ تمامأي
+
+39
+00:03:15,150 --> 00:03:20,170
+موضوع في موقع P في هذا الجسم الصحيح يتحول إلى مجلس
+
+40
+00:03:20,170 --> 00:03:26,670
+راديوس R حوالي O تمام الانجل فيتا والجسم بي بيلف
+
+41
+00:03:26,670 --> 00:03:30,690
+بتظهر ثابتة ولا بالزيت جاعدة بالزيت بالزيت زي ما
+
+42
+00:03:30,690 --> 00:03:34,290
+الجسم جاعد بمشي مش جاعدة اكس تبعته بالزيت وهذه
+
+43
+00:03:34,290 --> 00:03:39,430
+فيتا جاعدة بالزيت تمام الانجل بين R و اكسل الـ
+
+44
+00:03:39,430 --> 00:03:43,850
+positive هو اعتبرتها ذيتااللي أنا عارف إيش بنقول
+
+45
+00:03:43,850 --> 00:03:47,910
+at the point P moves around the circle وP بتتحرك
+
+46
+00:03:47,910 --> 00:03:53,230
+the angle θ تتغير تتغير تكبر while R remains
+
+47
+00:03:53,230 --> 00:03:57,910
+constant بيبقى ثابت مفهومة بقولي ما زال كده θ
+
+48
+00:03:57,910 --> 00:04:04,310
+سيرفز هتشتغل كشغل ال coordinates بدل Xبجل ما انا
+
+49
+00:04:04,310 --> 00:04:07,850
+عندي X اللي فيتغير، ايش اللي هيتغير الان؟ فيتا هي
+
+50
+00:04:07,850 --> 00:04:13,810
+المتغير تبعيه فيتا تعمل كمعاملة لتفسير مقاطع
+
+51
+00:04:13,810 --> 00:04:18,710
+البرتقال اللي في البرتقال حلو الانجل، طيب احنا في
+
+52
+00:04:18,710 --> 00:04:19,330
+النهاية
+
+53
+00:04:26,450 --> 00:04:30,830
+النهاية، يجب أن يكون لدي علاقة ما بين X المعرفة
+
+54
+00:04:30,830 --> 00:04:37,190
+واليزاحة اللي معرفة وما بين الزاوية تمام، العلاقة
+
+55
+00:04:37,190 --> 00:04:41,490
+اللي بدي أربط ما بين الزاوية والعلاقات السابقة،
+
+56
+00:04:41,490 --> 00:04:46,550
+المسافة اللي مشيتها الخطية، النقطة B كانت هنا،
+
+57
+00:04:46,550 --> 00:04:52,370
+صارت هنا، إيش المسافة اللي مشيتها؟مسافة هي مش فيك
+
+58
+00:04:52,370 --> 00:04:58,290
+ليش تعمل متلف ولا حاجة طول الجوس هل الجوس له علاقة
+
+59
+00:04:58,290 --> 00:05:03,350
+بالزاوية؟ نص القطر في الزاوية نص القطر في الزاوية
+
+60
+00:05:03,350 --> 00:05:09,330
+المحيط إيش في الزاوية؟ من هنا القانون جاي لإن
+
+61
+00:05:09,330 --> 00:05:14,410
+المحيط جوس وانا مش جوس المحيط جوس إيش الزاوية
+
+62
+00:05:14,410 --> 00:05:20,500
+المحصورة؟ الزاوية في نص القطر والله منهوالله منه،
+
+63
+00:05:20,500 --> 00:05:26,760
+تمام؟ نفس القانون، اذا بيقوللي اصلا المسافة بتسوي
+
+64
+00:05:26,760 --> 00:05:30,880
+R في فيتا والمحيط فيتا حطت بينها اتنين باي بس
+
+65
+00:05:30,880 --> 00:05:37,680
+وشغلها منطقية انه يكمل، تمام؟قال لي حسنًا، الآن
+
+66
+00:05:37,680 --> 00:05:43,840
+أنا بدي أدى أمشي هنا الـ units of θة بنعرفها إما
+
+67
+00:05:43,840 --> 00:05:47,520
+degree أو radian صح ولا لأ؟ التعامل معنا هيكون
+
+68
+00:05:47,520 --> 00:05:51,480
+radian بصورة إيمالية والradian بسوء 360 على 2πي
+
+69
+00:05:51,480 --> 00:05:55,480
+كلكم عارفينها صحيح ولا لأ؟ وبالتالي بسوء حوالي ..
+
+70
+00:05:55,480 --> 00:05:59,580
+أما الكل دعوة تحويلها، بنعرفها بسهولة لأنه إحنا
+
+71
+00:05:59,580 --> 00:06:06,070
+بنقول كيف بنعملها؟ بنقول الـ πايتحط 180؟ مظبرا لأ؟
+
+72
+00:06:06,070 --> 00:06:09,430
+و بنشتري على هذا نفترض تلاتين درجة I can buy
+
+73
+00:06:09,430 --> 00:06:17,550
+بديها، صح؟ فسهل التعامل معها okay الان خلينا نخش
+
+74
+00:06:17,550 --> 00:06:21,930
+بالتفاصيل قاللي طيب انا لما تتغير الزاوية في عندي
+
+75
+00:06:21,930 --> 00:06:26,400
+سرعاتفي فيزيا في الـ chapter التاني أخدت سرعة
+
+76
+00:06:26,400 --> 00:06:31,140
+متوسطة و سرعة لحظية السرعة المتوسطة هي المعدل تغير
+
+77
+00:06:31,140 --> 00:06:33,940
+إزاحة بالنسبة للزمن Delta X على Delta T إذا أحنا
+
+78
+00:06:33,940 --> 00:06:37,060
+نجيب X و نحط محلها فيك تصبح Delta في ده على Delta
+
+79
+00:06:37,060 --> 00:06:41,320
+T إذا مافيش خوانن جديدة بيقوللي in analogy to the
+
+80
+00:06:41,320 --> 00:06:44,300
+linear velocity تناظر مع ال linear velocity اللي
+
+81
+00:06:44,300 --> 00:06:47,890
+أخدتها هذه كما سميها linear velocityعشان اميز ما
+
+82
+00:06:47,890 --> 00:06:51,710
+بين ال angular velocity angular من angle وlinear
+
+83
+00:06:51,710 --> 00:06:55,510
+منوع انه قاعد يتحرك بالخط فهذه angular من angle
+
+84
+00:06:55,510 --> 00:07:00,790
+زاوية angular velocity بيقولي the average angular
+
+85
+00:07:00,790 --> 00:07:06,490
+velocity تمام؟ of a particle متحرك من نقطة ايه
+
+86
+00:07:06,490 --> 00:07:10,430
+لنقطة بيه مكان هنا أو إليها بدل ما كان خط مستقيم
+
+87
+00:07:10,430 --> 00:07:16,140
+زاوية تمام؟ أيش بدي أعرفها؟الرمز اتغير ما هوش V
+
+88
+00:07:16,140 --> 00:07:19,960
+صار Omega ال average إيش ما نحط الشرقة ولا ما
+
+89
+00:07:19,960 --> 00:07:24,380
+نحطهاش هاي الشرقة الموجودة بدل Delta X على Delta T
+
+90
+00:07:24,380 --> 00:07:27,780
+صارت Delta Theta على Delta T Delta Theta على Delta
+
+91
+00:07:27,780 --> 00:07:30,820
+T يعني Theta final نقل Theta initial على Theta
+
+92
+00:07:30,820 --> 00:07:34,380
+final نقل Theta initial فيه جديد صعد محفظه من أول
+
+93
+00:07:34,380 --> 00:07:37,820
+جديد نفس القانون تبقى شبط لإتنين Game of X ماشي
+
+94
+00:07:37,820 --> 00:07:42,200
+حطه معاها Theta بتبطي ال V بتصير Omega سرعة زاوية
+
+95
+00:07:42,200 --> 00:07:46,100
+تمةطيب، قولين Instantaneous، إيش Instantaneous
+
+96
+00:07:46,100 --> 00:07:51,360
+بالتباعتنا؟ مش تقلق إيش؟ ال X بالنسبالي الزمن،
+
+97
+00:07:51,360 --> 00:07:57,420
+بتجيب X و تحط محلها؟ تاس، إذا هتكون Omega بيسوي Dθ
+
+98
+00:07:57,420 --> 00:08:02,420
+على Dt، يا ربي مصحبها علم جديد، مافيش علم جديد،
+
+99
+00:08:02,420 --> 00:08:09,680
+نفس الشغل، تغيير رموز، تمع، حلوبقول طيب اتفقنا
+
+100
+00:08:09,680 --> 00:08:16,100
+الصرعة اللي بنعرفها وحدتها جديش؟ متر على سكن طب
+
+101
+00:08:16,100 --> 00:08:21,560
+هذه متر؟ لا و هذه؟ هل بقدر أقول متر على سكن؟ لأ لأ
+
+102
+00:08:21,560 --> 00:08:23,280
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+103
+00:08:23,280 --> 00:08:23,280
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+104
+00:08:23,280 --> 00:08:24,500
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+105
+00:08:24,500 --> 00:08:26,560
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+106
+00:08:26,560 --> 00:08:31,920
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+107
+00:08:31,920 --> 00:08:33,580
+لأ ل
+
+108
+00:08:36,710 --> 00:08:41,510
+والله هي التردد نفسه التردد ديش وحدته؟ جابني ال
+
+109
+00:08:41,510 --> 00:08:46,250
+hairs واحد ع سكن، واحد ع سكن الزاوية مانهاش واحدة
+
+110
+00:08:46,250 --> 00:08:49,590
+في الآخر، مانهاش واحدة، لما اقول bye تبقى تقعد 14
+
+111
+00:08:49,590 --> 00:08:54,970
+%، مورقة، مظبوط ولا؟ ال theta، bye، اذا الواحدة
+
+112
+00:08:54,970 --> 00:08:59,230
+تبعت الواحد ع second، اذا هذه واحدة الترددولكن في
+
+113
+00:08:59,230 --> 00:09:03,270
+البداية بيقولوا ما هي بتشبه السرعة سببها سرعة لكن
+
+114
+00:09:03,270 --> 00:09:08,650
+هي سرعة زاوية ولكن وحدتها مختلفة عن السرعة بيقولي
+
+115
+00:09:08,650 --> 00:09:13,670
+زي ما انت شايف في الرسمة omega وحدتها لا بكتب
+
+116
+00:09:13,670 --> 00:09:17,730
+radian per second او بكتب واحد ع second و بس كله
+
+117
+00:09:17,730 --> 00:09:22,430
+صح ليه ايش؟ بيقولي ان انت اصلا من هنا خليني ارجع
+
+118
+00:09:22,430 --> 00:09:31,670
+على هذا القانون شايفينه؟ ايش وحدت هذه؟متر ايش
+
+119
+00:09:31,670 --> 00:09:40,850
+وحدتها؟ متر، متر، متر، متر، متر، متر، متر، متر،
+
+120
+00:09:40,850 --> 00:09:46,390
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+121
+00:09:46,390 --> 00:09:46,690
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+122
+00:09:46,690 --> 00:09:49,030
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+123
+00:09:49,030 --> 00:09:49,050
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+124
+00:09:49,050 --> 00:09:49,370
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+125
+00:09:49,370 --> 00:09:49,390
+متر، متر، متر، متر، متر، متر، متر، متر، متر، متر،
+
+126
+00:09:49,390 --> 00:09:54,250
+متر، متر،
+
+127
+00:09:54,250 --> 00:09:58,960
+متر،طلّو حبل و طول و بدّيش متر فالـ ghost واحدة و
+
+128
+00:09:58,960 --> 00:10:02,240
+اتو متر و نص القطر طول عمره واحدة و اتو متر مازال
+
+129
+00:10:02,240 --> 00:10:04,340
+هذا متر و هذا متر و هذا متر ممنعه كل واحدة
+
+130
+00:10:04,340 --> 00:10:08,140
+وبالتالي مالوش واحدات وبالتالي ال radiant بنحط هيك
+
+131
+00:10:08,140 --> 00:10:11,540
+بس للولد صغير عشان في الأول يقولك ورا حط الثيتا
+
+132
+00:10:11,540 --> 00:10:17,500
+أما هو مالوش واحدة بيقولي the unit of omega is
+
+133
+00:10:17,500 --> 00:10:21,040
+radian per second or simply واحد على second أو أص
+
+134
+00:10:21,040 --> 00:10:26,490
+نخس واحدطيب السرعة احنا عارفينها vector والوميجا
+
+135
+00:10:26,490 --> 00:10:31,330
+is a vector also اذا the direction of اوميجا بيكون
+
+136
+00:10:31,330 --> 00:10:36,710
+مع محور الدوران مع محور الدوران وهذه بتدور وين
+
+137
+00:10:36,710 --> 00:10:41,570
+اتجاه اوميجا مع العصاية هذه محور الدوران طيب مع
+
+138
+00:10:41,570 --> 00:10:45,460
+عصاية لفوق ولا لتحك؟ قاللي هذه اللي بتجيبهاالهواية
+
+139
+00:10:45,460 --> 00:10:49,540
+لما تلف كيف بتلف؟ هيك إذا المعناه تقوم جاكف
+
+140
+00:10:49,540 --> 00:10:53,060
+اتجاهها لأعلى، لو بتلف لعكس بصحي اللي أسفل، سهلة،
+
+141
+00:10:53,060 --> 00:10:57,040
+تمام؟ إيديكم هذه كتير تعلمتها، تمام؟ تلعبوا رياضة
+
+142
+00:10:57,040 --> 00:11:01,060
+فيها، مافيش أسهل منها، تمام؟ بس إيدي اليمين، مش
+
+143
+00:11:01,060 --> 00:11:05,540
+إيدي واحد أشوال يقول تبفعيش شوية يا إسمها، ممكنش،
+
+144
+00:11:05,540 --> 00:11:09,770
+ممكن تبقى إيده اليمين، لإنه بتعكسبتناقص إذا راح
+
+145
+00:11:09,770 --> 00:11:13,830
+على أيديه وإيش معنى تمام الـ direction of omega is
+
+146
+00:11:13,830 --> 00:11:17,880
+along the axis of rotationهي هيك أُرّفت لأن في
+
+147
+00:11:17,880 --> 00:11:21,520
+cross product بينتي هي أصلها يعني علاقة ال V و
+
+148
+00:11:21,520 --> 00:11:24,240
+الأوميجا في cross product و ال cross product
+
+149
+00:11:24,240 --> 00:11:26,880
+بيعطيك ال direction التالت و ال direction التالت
+
+150
+00:11:26,880 --> 00:11:32,120
+مينفعش اللي يجيبيه هيك لأن هذا عمودي على هدول هذا
+
+151
+00:11:32,120 --> 00:11:35,120
+.. احنا ليش بنعمل هيك؟ هدول تلاتة directions يا
+
+152
+00:11:35,120 --> 00:11:41,280
+بنات أصابع الأربعة بيعملوا plane صح؟ هي .. بيعملوا
+
+153
+00:11:41,280 --> 00:11:45,390
+طاولة و أصبعي بيعمل ال Z axisزي هدول، هدول ليش
+
+154
+00:11:45,390 --> 00:11:51,370
+بيعملوه هيك؟ X و Y و Z و هدول بيحلوا محل ال X و Y
+
+155
+00:11:51,370 --> 00:11:55,450
+التانية مع بعض و بيظل هدا ال Z فهدا X و Y و هدا Z
+
+156
+00:11:55,450 --> 00:11:58,850
+و هدول X و Y و Z كل واحد فاهمتي ليش؟ عشان تكون في
+
+157
+00:11:58,850 --> 00:12:01,330
+عندنا cross product في الأصل واحدة واحدة، لسه احنا
+
+158
+00:12:01,330 --> 00:12:04,490
+قاعدين بيقول بسم الله في الشطرة الشطرة الطوية تمام
+
+159
+00:12:05,720 --> 00:12:09,260
+إذا الاتجاه من أوميجا هو من خلال أكسيس الروتيشن
+
+160
+00:12:09,260 --> 00:12:15,200
+بمعنى .. هجت لفوق ولا لأتحد؟ الاتجاه هو مستمر من
+
+161
+00:12:15,200 --> 00:12:18,080
+القوانين اليمينية اليمينية اليمينية اللي توجدتم
+
+162
+00:12:18,080 --> 00:12:23,060
+إياها وهيه .. نفسرها، أيش بقول؟ كان الـ four
+
+163
+00:12:23,060 --> 00:12:30,610
+fingers الأربع أصابع تبعتهالفهم مع الدوران لفهم مع
+
+164
+00:12:30,610 --> 00:12:35,050
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+165
+00:12:35,050 --> 00:12:35,050
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+166
+00:12:35,050 --> 00:12:36,050
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+167
+00:12:36,050 --> 00:12:36,650
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+168
+00:12:36,650 --> 00:12:39,730
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+169
+00:12:39,730 --> 00:12:40,750
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+170
+00:12:40,750 --> 00:12:40,850
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+171
+00:12:40,850 --> 00:12:41,030
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+172
+00:12:41,030 --> 00:12:43,150
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+173
+00:12:43,150 --> 00:12:46,410
+الدوران لفهم مع الدوران لفهم مع الدوران لفهم مع
+
+174
+00:12:46,410 --> 00:12:51,800
+الدورانخلّصنا ال velocity و قمنا رمزها omega و
+
+175
+00:12:51,800 --> 00:12:55,740
+وعدتها واحد على second او radian per second و في
+
+176
+00:12:55,740 --> 00:12:59,340
+average velocity و في instantaneous velocity زي
+
+177
+00:12:59,340 --> 00:13:03,060
+هذه طب و ال acceleration؟ قاليني هي نفس القضية ال
+
+178
+00:13:03,060 --> 00:13:06,680
+acceleration تبعتي ايه؟ average سوى delta V على
+
+179
+00:13:06,680 --> 00:13:10,890
+delta T صح؟هذه العادية اللي انا بدي اجيبها في وقت
+
+180
+00:13:10,890 --> 00:13:14,630
+محله omega بصير angular acceleration و برضه
+
+181
+00:13:14,630 --> 00:13:19,570
+رمزونها بالرمز alpha رمز مختلف اذا بيقولي برضه the
+
+182
+00:13:19,570 --> 00:13:23,670
+average angular acceleration of a particle is
+
+183
+00:13:23,670 --> 00:13:28,810
+defined as alpha average بيسوي delta omega على
+
+184
+00:13:28,810 --> 00:13:32,570
+delta T omega final نقص omega initial على T final
+
+185
+00:13:32,570 --> 00:13:37,930
+نقص T initial بنفس المبدأ و بنفس القوانينطيب الـ
+
+186
+00:13:37,930 --> 00:13:41,830
+Instantaneous Angular Acceleration اللي رمزها
+
+187
+00:13:41,830 --> 00:13:47,170
+Alpha كيف تبدي بها؟ بأشطق الـ Vehicle بتشطق الـ
+
+188
+00:13:47,170 --> 00:13:51,150
+Omega هل جيه؟ إذا معناته The Instantaneous Angular
+
+189
+00:13:51,150 --> 00:13:54,950
+Acceleration is defined as Alpha equal D Omega على
+
+190
+00:13:54,950 --> 00:13:59,470
+DT أو المستقبل تاني لثيتا بالنسبة لـT ايه عشان
+
+191
+00:13:59,470 --> 00:14:04,400
+واحد بتقول Alpha؟الثاني نقص اتنين واحد ع سكن تربيع
+
+192
+00:14:04,400 --> 00:14:06,480
+واحد ع سكن تربيع
+
+193
+00:14:15,050 --> 00:14:18,270
+قالت لي طب انت بعديها بعد ما خلصت هذه الشغلة اشتقت
+
+194
+00:14:18,270 --> 00:14:22,030
+تلات خوارين ذاكرينهم؟ V بالسوء و V not plus it
+
+195
+00:14:22,030 --> 00:14:26,170
+أعيدهم V لأن في كتير منكم خربطوا .. مش حافظينهم
+
+196
+00:14:26,170 --> 00:14:30,190
+هدول مع أنكم جايين من توديه متعودين على البصل ليش
+
+197
+00:14:30,190 --> 00:14:35,200
+هدوم الرصاص اللي هم ماشي؟ ماعرفتش اللي صموهمحتى
+
+198
+00:14:35,200 --> 00:14:43,660
+هدول، طيب X بيسوي V0 في T plus half AT² و V² equal
+
+199
+00:14:43,660 --> 00:14:48,100
+V0² plus 2AX، ذاكرين هم على أقل هاجت مش حاصينهم،
+
+200
+00:14:48,100 --> 00:14:52,120
+ذاكرين في قوانين زي إيه؟ ذاكرين، اتطلعوا هدول كان
+
+201
+00:14:52,120 --> 00:14:57,600
+شرطهم إن إيه تكون ثابتة، المفروض يطلع عندي قوانين
+
+202
+00:14:57,600 --> 00:15:02,780
+مناظرة، بس وين في X أحط محلة فيتاوين في V أحط
+
+203
+00:15:02,780 --> 00:15:07,260
+محالها Omega وين في A أحط محالها Alpha صح ولا لا؟
+
+204
+00:15:07,260 --> 00:15:10,260
+هي كانت أصل لأن أنا ماعملتش أي شيء، غيرت رموز
+
+205
+00:15:10,260 --> 00:15:14,340
+تمام، rotation with constant Alpha يعني بدل ما إيه
+
+206
+00:15:14,340 --> 00:15:17,660
+constant، بيقولي خلّي Alpha تكون constant تمام،
+
+207
+00:15:17,660 --> 00:15:22,340
+جالي نبدأ Alpha مش هي دي Omega عادي تي، محالة دي
+
+208
+00:15:22,340 --> 00:15:25,980
+تكبرنا في الكالكوراس، نفهم شوية كالكوراس، صح؟ اضرب
+
+209
+00:15:25,980 --> 00:15:30,940
+وضرب تبادل، صار في شغل جديد؟فاهمين يعني؟ بنكامل
+
+210
+00:15:30,940 --> 00:15:35,580
+طرفيا لمعادلة بصح اللي؟ إيش تكامل الـG Omega؟
+
+211
+00:15:35,580 --> 00:15:40,260
+Omega طبعا لو بدي أقول من ابتدائي لنهائي من Omega
+
+212
+00:15:40,260 --> 00:15:43,360
+Note ل Omega بصير Omega نقص Omega Note ولا لا؟ و
+
+213
+00:15:43,360 --> 00:15:48,620
+هذه بصير Alpha ثابتة برا التكامل إيش تكامل الـDT؟
+
+214
+00:15:48,620 --> 00:15:55,500
+T من صفر لـT، T إذا بصير عندىفي شي غريب عملته؟ يلا
+
+215
+00:15:55,500 --> 00:16:00,300
+بدنا نكمل الطرف العيسر بتجيلي Omega ناقص Omega
+
+216
+00:16:00,300 --> 00:16:05,900
+Note طب علنا هي راكن عليكم و أنتم تفهموها يعني
+
+217
+00:16:09,810 --> 00:16:13,430
+هكملناها احكي هنا ألفة ثابتة طب ليش؟ أحنا قولنا
+
+218
+00:16:13,430 --> 00:16:18,450
+ألفة هنا بتعتمد على الزمن يعني بتتغير مين قالك؟ هو
+
+219
+00:16:18,450 --> 00:16:23,250
+يعني إيش أفرجك إيه عن هذا؟ لو أنا قلت لك .. اه هذا
+
+220
+00:16:23,250 --> 00:16:28,790
+شرطي .. هذا شرطي يعني هي التصارع الجانبية مش تصارع
+
+221
+00:16:28,790 --> 00:16:33,710
+ثابت لمثالي و هذا هي في الشغل بتعمل بتزيد شوي شوي
+
+222
+00:16:33,710 --> 00:16:35,290
+و بعدين تثبت تمام
+
+223
+00:16:39,620 --> 00:16:46,060
+إيه تكامل دي Omega؟ إيه تكامل دي X؟ إيه تكامل دي
+
+224
+00:16:46,060 --> 00:16:50,040
+Y؟ إيه تكامل دي Omega؟ حرام بقى Omega ممنوعة تكون
+
+225
+00:16:50,040 --> 00:16:53,760
+لعالى X بنفع و Y بنفع و Omega ممنوعة فكامل دي
+
+226
+00:16:53,760 --> 00:16:56,200
+Omega و Omega قبل ما أقول من Omega Not ل Omega
+
+227
+00:16:56,200 --> 00:16:59,800
+مادي بس Omega نقص Omega Not أه فإيه Omega نقص
+
+228
+00:16:59,800 --> 00:17:02,820
+Omega Not بالساوية هذه جبت هنا عملت شغلة جديدة
+
+229
+00:17:02,820 --> 00:17:06,920
+فصلت Omega بالساوية Omega Not هجيت إيه أفراجة هذه؟
+
+230
+00:17:07,650 --> 00:17:14,910
+عن هذه بدي ال V حطيت Omega و بدي ال A حطيت Alpha
+
+231
+00:17:14,910 --> 00:17:20,630
+ال T بتتغير؟ ال T رقم صحيح بحاجة ممكن أغيرها تمام؟
+
+232
+00:17:20,630 --> 00:17:27,270
+حلو فهمناها الحفظ هذه بيحفظ هذه بدأت شطارة تمام مش
+
+233
+00:17:27,270 --> 00:17:31,110
+مقول في قول الله قوانين جديدة مش قوانين جديدة طيب
+
+234
+00:17:31,110 --> 00:17:35,150
+جالي طيب برضه انت توا قلتلي Omega بيساوي Dθ على Dt
+
+235
+00:17:35,150 --> 00:17:40,630
+ولا لأ؟حلو؟ طب Omega2 طلعتها لسه بيساوي Omega2 زي
+
+236
+00:17:40,630 --> 00:17:45,290
+Alpha T المعادل هادي جالي بيبقى أخدها و أشعكها
+
+237
+00:17:45,290 --> 00:17:49,570
+بيقولك أه مانا ماتا و اشتقتها استخدمها استخدمناها
+
+238
+00:17:49,570 --> 00:17:54,850
+جالي حلو أضرب ضرب تبادل يه أضرب ضرب تبادل يه بيصير
+
+239
+00:17:54,850 --> 00:17:59,150
+دي فيتة على الطرف هذيك لحالها وهذا كله بيضحك جنبه
+
+240
+00:17:59,150 --> 00:18:06,280
+ايش؟ DT يعني بيصير هيكصحيح؟ بدي أكامل طرفي
+
+241
+00:18:06,280 --> 00:18:11,860
+المعادلة، يلّا نكامل من
+
+242
+00:18:11,860 --> 00:18:15,660
+θ نوت لثيتا أو من سفر لثيتا، اللي بدكم إيه؟ إيش
+
+243
+00:18:15,660 --> 00:18:21,220
+تكامل الـD ثيتا؟ ثيتا نقل ثيتا نوت، طيب هذه omega
+
+244
+00:18:21,220 --> 00:18:26,780
+نوت في T زائد هذه T دي T، T تربيع ع 2، فصارت هيك
+
+245
+00:18:28,030 --> 00:18:33,730
+فيتا زي هذه جيبوا فيتا نترا وهو حق إذا فيتا ها
+
+246
+00:18:33,730 --> 00:18:36,630
+اللي بتغلبهم هدوة نترا هي هو بتهاشي الناس فيها
+
+247
+00:18:36,630 --> 00:18:42,830
+هتبعوها Zero ففيتا بتسوء مجنونك في T زي نص A T
+
+248
+00:18:42,830 --> 00:18:46,190
+Square بس عبحث
+
+249
+00:18:49,770 --> 00:18:52,870
+هدى غالبا، مانديش أقول دايما، لأنه .. بس غالبا
+
+250
+00:18:52,870 --> 00:18:56,310
+هنبدأ من الـ Zero، بإمكانك تخلي Zero دايما يعني،
+
+251
+00:18:56,310 --> 00:19:00,170
+تمام؟ ايه ضال؟ ضال هدى، ذاكين كيف جيبناها هدى؟
+
+252
+00:19:01,660 --> 00:19:05,760
+والله جيبنا team in hand وعوّقناها مظبوط ولا لأ؟
+
+253
+00:19:05,760 --> 00:19:09,680
+جواكم اختلفت المعاجلات الى .. الرموز اختلفت صح؟
+
+254
+00:19:09,680 --> 00:19:13,180
+اذا لو انا جيب ال team in hand وعوّقها تطلع عادي
+
+255
+00:19:13,180 --> 00:19:17,040
+ولا لأ؟ نفس المعاجلة خلاص eliminating T from
+
+256
+00:19:17,040 --> 00:19:20,240
+equation 2 from the two equations يعني بيقول جيب
+
+257
+00:19:20,240 --> 00:19:23,000
+ال team اللى فوق الأولى منيا وحطها هنا هتطلع كأمك
+
+258
+00:19:23,000 --> 00:19:28,140
+المعاجلة هذه بدا الشطارة أعملتها قبل كده فيش جيه؟
+
+259
+00:19:29,170 --> 00:19:33,930
+سهل هذا الشرطة طويل بس سهل ومهم لكن فيه تكرار
+
+260
+00:19:33,930 --> 00:19:37,990
+تكرار للمعلومات السابقة اللي أخدناها بس بحلة جديدة
+
+261
+00:19:37,990 --> 00:19:45,080
+برموز جديدةبقولي هذه الـ three equations are of
+
+262
+00:19:45,080 --> 00:19:50,720
+the same forms as those for linear motion with
+
+263
+00:19:50,720 --> 00:19:53,200
+their blessing. بقولي هذه زي التلاتة اللي خدناها
+
+264
+00:19:53,200 --> 00:19:56,980
+في ال chapter two، إيش اللي اتغير؟ قال لي X حلت
+
+265
+00:19:56,980 --> 00:20:03,910
+محل فيتا و V راح تصرفي Omega و A Alphaتمام هيك؟
+
+266
+00:20:03,910 --> 00:20:06,970
+طبعا الواحد بيقول انا وردي مصحبة كيف بدي أحفظها؟ X
+
+267
+00:20:06,970 --> 00:20:12,830
+إزاحة و θ إزاحة V سرعة و Omega سرعة A acceleration
+
+268
+00:20:12,830 --> 00:20:16,850
+و Alpha acceleration صحيح إنه نجيب بينهم علاقة
+
+269
+00:20:16,850 --> 00:20:20,830
+نخيز أسهل منها تمام؟ نفدا حلو؟
+
+270
+00:20:23,870 --> 00:20:28,810
+سؤال بيقول لي a wheel عجلة rotates with constant
+
+271
+00:20:28,810 --> 00:20:33,630
+angular acceleration of 3.5 radian per second
+
+272
+00:20:33,630 --> 00:20:38,170
+squared with constant angular acceleration is an
+
+273
+00:20:38,170 --> 00:20:41,350
+acceleration ثابتة ثلاثة و نص .. إذا بيقول ثابتة
+
+274
+00:20:41,350 --> 00:20:45,610
+لما بيقول كيش؟ جالك هيها if the angular velocity
+
+275
+00:20:45,610 --> 00:20:49,030
+of the wheel is two radian per second التي بالساوي
+
+276
+00:20:49,030 --> 00:20:55,300
+zero أول مبادية كان له سرعة تمام؟اعتبروا الهوية
+
+277
+00:20:55,300 --> 00:21:00,640
+كانت شغالة .. كانت شغالة .. إيه هالسرعة؟ طفيتها ..
+
+278
+00:21:00,640 --> 00:21:03,800
+بتجف على طول؟ لأ .. بتاخد الهوية من هناك لبثة ..
+
+279
+00:21:03,800 --> 00:21:07,420
+قبل ما تجف طب على ساعتها .. جالية بتتصارى ولا
+
+280
+00:21:07,420 --> 00:21:10,860
+بتتباطأ؟ بره .. بره .. يعني التصارع هيطلع معاه ..
+
+281
+00:21:10,860 --> 00:21:13,860
+موجب ولا سالب؟ سالب .. سالب .. براو عليكم .. ليه
+
+282
+00:21:13,860 --> 00:21:17,200
+شاطرين أنتم هنا وفي الامتحانات مش شاطرين؟ الله
+
+283
+00:21:17,200 --> 00:21:20,200
+يخبر بيت الامتحان اللي .. اللي زود وجهكم بالدنيا
+
+284
+00:21:20,200 --> 00:21:27,150
+.. تمام؟What angle does the wheel rotate through
+
+285
+00:21:27,150 --> 00:21:30,450
+in two seconds؟ بيقول لي بقى الـ two second إيش
+
+286
+00:21:30,450 --> 00:21:34,430
+الزاوية اللي قطعها؟ تمام؟ What is the angular
+
+287
+00:21:34,430 --> 00:21:37,970
+velocity of T equal two seconds؟ بقى ال two
+
+288
+00:21:37,970 --> 00:21:43,230
+seconds جدّيش كانت سرعته؟ تمام؟ بيقوللي الآن إيش
+
+289
+00:21:43,230 --> 00:21:47,950
+بده بالأول؟ بده ال angle، بده ثيتا يعني، ثيتا، ما
+
+290
+00:21:47,950 --> 00:21:51,490
+يمعرفين التلاتة، اللي ثيتا التاني والتالت، صح؟
+
+291
+00:21:52,330 --> 00:21:55,430
+التالت فيه سرعة نهائية مش موجودين إياها مافيش حول
+
+292
+00:21:55,430 --> 00:21:58,150
+ولا وراء، مافيش إلا غير التاني فبنقول يا سلام
+
+293
+00:21:58,150 --> 00:22:01,850
+أسهلها تمام؟
+
+294
+00:22:01,850 --> 00:22:05,710
+theta equal theta naught plus omega naught T plus
+
+295
+00:22:05,710 --> 00:22:10,130
+R E T square Omega naught two radian per second
+
+296
+00:22:10,130 --> 00:22:16,050
+مظبوط ولا لأ؟ تمام و T two second ألف ما أعطيني
+
+297
+00:22:16,050 --> 00:22:20,890
+إياها هي theta، 11 radian طب مين يقول إياها كام
+
+298
+00:22:20,890 --> 00:22:27,230
+لفة؟ع تنين باي بقدر أقول ع كام لفة ولا لأ؟ يعني هو
+
+299
+00:22:27,230 --> 00:22:32,690
+ماشي 11 radian كزاوية ع كام لفة متساوية؟ بيقول كل
+
+300
+00:22:32,690 --> 00:22:36,230
+لفة 2 radian، two by radian جسم ع تنين باي بيقول ع
+
+301
+00:22:36,230 --> 00:22:42,580
+كام لفة ماشيت بعد two second حلوالان ماذا يحتاج
+
+302
+00:22:42,580 --> 00:22:45,380
+المطبوق الثاني؟ ماهي الـ Angular Velocity؟ يحتاج
+
+303
+00:22:45,380 --> 00:22:48,820
+أوميجا نهائية لا في الأولى ولا في الأخيرة، لكن
+
+304
+00:22:48,820 --> 00:22:52,860
+الأولى أسهل تمام؟ إذا بقدر موجود عندى وخارصة
+
+305
+00:22:52,860 --> 00:22:56,240
+فبقولوا omega equal omega naught plus alpha T
+
+306
+00:22:56,240 --> 00:23:00,620
+والمعطيات عندى طلعت omega equal nine radian per
+
+307
+00:23:00,620 --> 00:23:08,730
+second تمام، هذا سؤال ببسيط، ده شوية بسبس نعمل هذا
+
+308
+00:23:08,730 --> 00:23:12,110
+الموضوع سهل بلا معاهم كتير انتوا كونوا عايزين
+
+309
+00:23:12,110 --> 00:23:17,850
+طالبة على طول انا معايا الساعة اتخافوش هديكم وقتكم
+
+310
+00:23:17,850 --> 00:23:23,030
+بالراحة relationship between angular and linear
+
+311
+00:23:23,030 --> 00:23:26,410
+variables هجيت قوة بدهوا يقولوا تمام انا امنت في
+
+312
+00:23:26,410 --> 00:23:31,430
+Omega غير عن V وفي ثيتا غير عن X وفي Alpha غير عن
+
+313
+00:23:31,430 --> 00:23:34,850
+A بس بدهوا العلاقات اللي بينهمبيجربوا بعض؟ بيقولوا
+
+314
+00:23:34,850 --> 00:23:39,170
+أه بيجربوا بعض صح ولا لأ؟ بيبقى نشوف هذه الجرابة
+
+315
+00:23:39,170 --> 00:23:44,790
+كيف هي تمام؟ بيقوللي نبدأ من القانون اللي انا
+
+316
+00:23:44,790 --> 00:23:49,750
+كتبتلكم مياه الجوز بتسوي اه في الزاوية المحصورة
+
+317
+00:23:49,750 --> 00:23:53,430
+مظبوط ولا لأ؟ انت نجبتي مياه الجوز بتسوي نص القطر
+
+318
+00:23:53,430 --> 00:23:58,750
+في الزاوية المحصورة جالي طيبلو انا فضلك بالنسبة
+
+319
+00:23:58,750 --> 00:24:04,510
+للزمن بصحلي صحلك هذا ثابت احنا نتفقين هذي مش هي
+
+320
+00:24:04,510 --> 00:24:10,470
+سرعة طب و هذي مش هي Omega اذا هي أول أولاقة V
+
+321
+00:24:10,470 --> 00:24:17,650
+بتساوي R في Omega اشتقلت؟ اه اشتقلت هي أول أولاقة
+
+322
+00:24:17,650 --> 00:24:22,470
+طيب اتبعوا يا بنات هذي ايش وحدتها
+
+323
+00:24:25,370 --> 00:24:32,950
+متر في ار ثانية وهذه واحدة على السنة صح .. صح
+
+324
+00:24:32,950 --> 00:24:38,210
+وبالتالي امجا واحدة على ثانية تامة تانجينشال
+
+325
+00:24:38,210 --> 00:24:43,090
+اكسلاريشين جالي الاكسلاريشين لما خدت في شبطر خمسة
+
+326
+00:24:43,090 --> 00:24:47,970
+كنا نقول تانجينشال وcentripetal نص قطرية او مماسية
+
+327
+00:24:47,970 --> 00:24:52,710
+المماسية قلت عنها هي معدّر تغيّل ال speed بالنسبة
+
+328
+00:24:52,710 --> 00:24:56,290
+للزمنوالـ .. الـ centripetal يقول الـ V تربيع على
+
+329
+00:24:56,290 --> 00:25:02,330
+A صح؟ ذاكرين هو؟ الحمد لله بقول A ثيتا بيساوي DV
+
+330
+00:25:02,330 --> 00:25:08,850
+على DT Speed طيب V ما هي هي؟ R في Omega R في Omega
+
+331
+00:25:08,850 --> 00:25:13,270
+كل شي هذه كتل واحد هي Alpha هذه Alpha إذا هذه
+
+332
+00:25:13,270 --> 00:25:19,010
+Alpha إذا A ثيتا بتسوي R في Alpha إذا العلاقة بين
+
+333
+00:25:19,010 --> 00:25:24,210
+Alpha بتيجي مع A ثيتا مش مع أيه كلهاعادي شي؟ بعيد
+
+334
+00:25:24,210 --> 00:25:27,450
+انتوا اللي قاعدين بتقشروا عاديكم حاجة بعيد اتش
+
+335
+00:25:27,450 --> 00:25:32,330
+ليه؟ هل جيت هنا .. هنا انت؟ شايفين المعادلة هذه؟
+
+336
+00:25:32,330 --> 00:25:35,750
+اشتقوا طرفيا المعادلة بالنسبة للزمن اشتقوا طرفيا
+
+337
+00:25:35,750 --> 00:25:38,890
+المعادلة بالنسبة للزمن على اعتبار ان R is constant
+
+338
+00:25:38,890 --> 00:25:44,130
+فقولت DS على DT R عشان ال constant قولت Dθ على DT
+
+339
+00:25:44,130 --> 00:25:48,230
+هجيت هذه ازاحة بالنسبة للزمن هي السرعة وهذه زاوية
+
+340
+00:25:48,230 --> 00:25:51,670
+بالنسبة للزمن هي Omega فطلعت NDV بتسوي R في Omega
+
+341
+00:25:52,260 --> 00:25:57,160
+تمام؟ هنا رجعت لتعريف الـ tangential acceleration
+
+342
+00:25:57,160 --> 00:26:01,440
+قولت الـ derivative أو التغيير من السرعة بالنسبة
+
+343
+00:26:01,440 --> 00:26:09,380
+لـ T سرعة السرعة هي R في Omega عوّضت محالها وقالت
+
+344
+00:26:09,380 --> 00:26:14,720
+D Omega على DT هي Alpha طيب ال radial acceleration
+
+345
+00:26:14,720 --> 00:26:17,560
+جال ال radial acceleration أو الcentripetal
+
+346
+00:26:17,560 --> 00:26:22,980
+acceleration بتربيع على Rجالي ايه؟ R بتساوي D
+
+347
+00:26:22,980 --> 00:26:28,340
+تربيع على R طب مش هذه عبارة عن Omega تربيع R تربيع
+
+348
+00:26:28,340 --> 00:26:32,760
+هذه جيبت من هنا و ربعتها هذه R تربيع و في المقام R
+
+349
+00:26:32,760 --> 00:26:37,120
+صارت R Omega تربيع إذا المعناته ال acceleration لو
+
+350
+00:26:37,120 --> 00:26:41,080
+بدي اكتبها أكا مركبة لها مركبتين بدي أجيب ال
+
+351
+00:26:41,080 --> 00:26:44,120
+magnitude تبعها بربع الأولى و بربع التانية تحت
+
+352
+00:26:44,120 --> 00:26:47,540
+الجذب تمام؟
+
+353
+00:26:48,370 --> 00:26:52,010
+ولو جيت عملت طلعت R عام المشترك فطلعت Alpha تربيع
+
+354
+00:26:52,010 --> 00:26:55,730
+زاد Omega أس أربعة بدهاش حفظ يعني بس مجرد هذه
+
+355
+00:26:55,730 --> 00:27:01,210
+الشخصية عالية بس؟ تمام بس
+
+356
+00:27:01,210 --> 00:27:06,160
+هال ملاحظة و نقطة بقول لي for a rigid bodyنرجع
+
+357
+00:27:06,160 --> 00:27:11,140
+للهواية Rotating about a fixed axis every particle
+
+358
+00:27:11,140 --> 00:27:14,880
+on the body had the same angular velocity and the
+
+359
+00:27:14,880 --> 00:27:17,560
+same angular acceleration يعني هذه الهواية هي
+
+360
+00:27:17,560 --> 00:27:23,760
+بتدور لو أقول بتعمل خمس لفات في الثانية هل في نقطة
+
+361
+00:27:23,760 --> 00:27:29,120
+منهم بتعمل عشرة؟ كلهم زي بعض لكن السؤال الآن مين
+
+362
+00:27:29,120 --> 00:27:34,260
+أسرق ك velocity عادية النقطة اللي أقرب لل axis ولا
+
+363
+00:27:34,260 --> 00:27:39,580
+الأبعدلا أقرب لا أقرب ولا لا أبعد لا أبعد لا أبعد
+
+364
+00:27:39,580 --> 00:27:42,040
+لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+365
+00:27:42,040 --> 00:27:45,260
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+366
+00:27:45,260 --> 00:27:48,720
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+367
+00:27:48,720 --> 00:27:52,000
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+368
+00:27:52,000 --> 00:27:54,500
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+369
+00:27:54,500 --> 00:27:57,220
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+370
+00:27:57,220 --> 00:27:58,840
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+371
+00:27:58,840 --> 00:27:58,860
+أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا أبعد لا
+
+372
+00:27:58,860 --> 00:28:03,350
+أبعد لا أبعد لا أبوبالتالي السرعة من نقطة لنقطة
+
+373
+00:28:03,350 --> 00:28:06,870
+بتتغير لكن أوميجا و ألفا بتتغيرش لأن أوميجا و ألفا
+
+374
+00:28:06,870 --> 00:28:09,830
+بيقول أكم دورة بيعملوا في الثانية هم كلهم بيعملوا
+
+375
+00:28:09,830 --> 00:28:12,690
+فبيقول لي for a rigid body rotating about a fixed
+
+376
+00:28:12,690 --> 00:28:16,670
+axis every particle on the body أي نقطة had the
+
+377
+00:28:16,670 --> 00:28:20,050
+same angular velocity نفس أوميجا أوميجا ثابتة and
+
+378
+00:28:20,050 --> 00:28:23,070
+the same angular acceleration why the linear
+
+379
+00:28:23,070 --> 00:28:27,640
+velocity اللي هو V وAdiffer from point to point
+
+380
+00:28:27,640 --> 00:28:30,820
+بيكون مختلفة من نقطة لنقطة بتعتمد على البعد اللي
+
+381
+00:28:30,820 --> 00:28:34,800
+أقرب بتكون أبطأ واللي أبعد بتكون أسرع أو بنحكيها
+
+382
+00:28:34,800 --> 00:28:35,440
+بالتفاصيل
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/XGbfBrFqD8M_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/XGbfBrFqD8M_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fcf2958784280595cdf41a4223db66b09778e0b8
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/XGbfBrFqD8M_postprocess.srt
@@ -0,0 +1,2484 @@
+1
+00:00:21,330 --> 00:00:25,170
+بسم الله الرحمن الرحيم اليوم ان شاء الله هنبدأ ب
+
+2
+00:00:25,170 --> 00:00:29,250
+chapter 4 زي ما حكينا في المحاضرة السابقة chapter
+
+3
+00:00:29,250 --> 00:00:34,190
+4 هو أحد أعمدة هذا المساق إذا كان هذا المساق له
+
+4
+00:00:34,190 --> 00:00:38,150
+تلت أعمدة رئيسية فهذا أول عمود هيكون في عندنا
+
+5
+00:00:38,150 --> 00:00:41,890
+chapter 8 اللي بيحكي عن conservation of energy هو
+
+6
+00:00:41,890 --> 00:00:45,390
+العمود التاني وممكن نحكي عن chapter 10 اللي بيحكي
+
+7
+00:00:45,390 --> 00:00:48,260
+عن ال rotational motion هو العمود التالتلهذا
+
+8
+00:00:48,260 --> 00:00:51,780
+المادة عنوان هذا ال chapter هو Newton's laws of
+
+9
+00:00:51,780 --> 00:00:55,680
+motion كنا بنعرف أهمية قوانين نيوتن لعلم
+
+10
+00:00:55,680 --> 00:01:01,140
+الميكانيكا تمام فى أول موضوع هنحكي عنه هو ال force
+
+11
+00:01:01,140 --> 00:01:05,640
+ال force ككمية فيزيائية بتوجهنا فى هذا المساق لأول
+
+12
+00:01:05,640 --> 00:01:12,640
+مرة يمكن ذُكرت كمثال كمثال لل vector quantities
+
+13
+00:01:12,640 --> 00:01:18,860
+وبالتالي الآن بنحكي عنها بتفصيل أكبربحكيلي when a
+
+14
+00:01:18,860 --> 00:01:23,740
+body affects a second body we say that the first
+
+15
+00:01:23,740 --> 00:01:28,240
+body exert a force on the second اذا لما يكون في
+
+16
+00:01:28,240 --> 00:01:33,120
+عيندي تأثير من جسم على جسم بنقول بعلم القوة ان
+
+17
+00:01:33,120 --> 00:01:38,980
+الجسم واحد من الأجسام أثر بقوة على الجسم الآخر
+
+18
+00:01:38,980 --> 00:01:43,120
+واحد
+
+19
+00:01:43,120 --> 00:01:50,860
+و اتنين تمام واحد و اتنينهذا يعني أن فرصة فقط يمكن
+
+20
+00:01:50,860 --> 00:01:55,280
+أن تجعل الجسم يتغير حركته من حركته المرتبطة أو
+
+21
+00:01:55,280 --> 00:02:00,960
+المرتبطة بمعنى آخر الجسم ما بيغير وضعه إلا تحت
+
+22
+00:02:00,960 --> 00:02:07,300
+تأثير قوة بدون تأثير قوة الجسم يبقى على وضعه إذا
+
+23
+00:02:07,300 --> 00:02:14,440
+كان سكون أو حركةالقوة تبعًا لهذا التعريف صُنّفت
+
+24
+00:02:14,440 --> 00:02:20,460
+على إنها إما أن تكون contact forces أو field
+
+25
+00:02:20,460 --> 00:02:26,900
+forces قوة تلامسية أو قوة مجالية ال contact force
+
+26
+00:02:26,900 --> 00:02:32,250
+من اسمهايجب أن يكون هناك اتصال بين الانجليزية و
+
+27
+00:02:32,250 --> 00:02:34,870
+الانجليزية بين الانجليزية و الانجليزية بين
+
+28
+00:02:34,870 --> 00:02:35,370
+الانجليزية و الانجليزية بين الانجليزية و
+
+29
+00:02:35,370 --> 00:02:36,210
+الانجليزية بين الانجليزية و الانجليزية بين
+
+30
+00:02:36,210 --> 00:02:37,530
+الانجليزية و الانجليزية بين الانجليزية و
+
+31
+00:02:37,530 --> 00:02:37,590
+الانجليزية بين الانجليزية و الانجليزية بين
+
+32
+00:02:37,590 --> 00:02:38,050
+الانجليزية و الانجليزية بين الانجليزية و
+
+33
+00:02:38,050 --> 00:02:42,150
+الانجليزية بين الانجليزية و الانجليزية بين
+
+34
+00:02:42,150 --> 00:02:47,070
+الانجليزية و الانجليزية بين الملامسة ما بين الجسم
+
+35
+00:02:47,070 --> 00:02:52,090
+والسطح لا يمكن ان يكون هناك قوة احتكاق فقوة
+
+36
+00:02:52,090 --> 00:02:56,970
+الاحتكاق قطعا هي مثال بارز وواضح ل ال contact
+
+37
+00:02:56,970 --> 00:03:02,070
+forces في قوة كتيرة لابد انها تكون contact forces
+
+38
+00:03:02,070 --> 00:03:06,550
+زي ال normal force زي ال tension وكتير من هذه
+
+39
+00:03:06,550 --> 00:03:10,130
+القوات لابد ان يكون عندك contact ال tension لابد
+
+40
+00:03:10,130 --> 00:03:12,770
+ان يكون الحبل او الخير مربوط او
+
+41
+00:03:16,260 --> 00:03:20,880
+القوة المنطقة هي القوة التي لا تتطلب التواصل
+
+42
+00:03:20,880 --> 00:03:25,900
+الفيزيوكي بين الأجسام
+
+43
+00:03:28,190 --> 00:03:32,370
+هي من اللي لا يلامس الأرض لكن بتأثر بجذب الأرض
+
+44
+00:03:32,370 --> 00:03:39,250
+إليه بدون ملامس بين الأرض والجسم ليش بتأثر؟ لأن
+
+45
+00:03:39,250 --> 00:03:45,750
+الجسم موجود في مجال الكورة الأرضيةهذه قوة مجالية
+
+46
+00:03:45,750 --> 00:03:53,810
+مدام الجسم موجود في مجال جسم آخر بتأثر بقوته وقوة
+
+47
+00:03:53,810 --> 00:03:59,150
+الجاذبية الأرضية مثال واضح طبعا عندي قوة أخرى مش
+
+48
+00:03:59,150 --> 00:04:03,270
+مجالنا الآن وهي القوة الكهروميغناطسية لو حطينا
+
+49
+00:04:03,270 --> 00:04:09,040
+شحنتين موجبتينابعاد عن بعض شوية بتأثروا بعض مافيش
+
+50
+00:04:09,040 --> 00:04:13,380
+ضرورة ان يكون بينهم contact عشان يصير بينهم
+
+51
+00:04:13,380 --> 00:04:17,960
+repulsive force كذلك القوة المغناطيسية لو جبنا
+
+52
+00:04:17,960 --> 00:04:21,820
+احنا كنا بنعرف لو قربنا مغناطيس على برادة الحديد
+
+53
+00:04:21,820 --> 00:04:25,880
+بدون ما ينلمسها بيصير في عندي قوة جادة اللي هي
+
+54
+00:04:25,880 --> 00:04:32,220
+برادة الحديد إلى المغناطيس وبالتالي بنقول هذه قوة
+
+55
+00:04:32,220 --> 00:04:39,630
+مجالية اذا القوةصنفناها على إنها قوة تلاموسية أو
+
+56
+00:04:39,630 --> 00:04:44,630
+مماسية contact forces and قوة مجالية ال field
+
+57
+00:04:44,630 --> 00:04:50,040
+forcesحكينا من بداية هذا المصاد أن كميات
+
+58
+00:04:50,040 --> 00:04:54,800
+الفيزيائية تقسم علي إنها vectors أو scalars من أهم
+
+59
+00:04:54,800 --> 00:04:58,120
+ال vector quantities هي ال force، إذا ال force هي
+
+60
+00:04:58,120 --> 00:05:04,120
+كمية vector لأن بالزمن أنا لما أقول أثرت على الجسم
+
+61
+00:05:04,120 --> 00:05:10,130
+بقوة، وين اتجاهها؟أسحب غير عن أدفع أشد لأعلى غير
+
+62
+00:05:10,130 --> 00:05:14,610
+عن أشد لأسفل وبالتالي الاتجاه مهم جدا في توصيف
+
+63
+00:05:14,610 --> 00:05:19,230
+القوة عشان هيك بنقول القوة is a victory quantity
+
+64
+00:05:19,230 --> 00:05:25,290
+الاسئة unit of the force is نيوتن اذا احنا بنعرف
+
+65
+00:05:25,290 --> 00:05:33,110
+ان ال forceهي كيلو جرام متر على second square هذه
+
+66
+00:05:33,110 --> 00:05:37,090
+الوحدة سميت تكريما للعالم نيوتون علي انها تكون
+
+67
+00:05:37,090 --> 00:05:42,450
+نيوتون و الـCGS unit is dime و ال British unit is
+
+68
+00:05:42,450 --> 00:05:48,050
+pound وبالتالي الوحدات تبعت القوة بالأنظمة الثلاث
+
+69
+00:05:48,050 --> 00:05:54,530
+صارت عندنا واضحة Newton, Dime and Pound تمامنبدأ
+
+70
+00:05:54,530 --> 00:05:59,410
+الآن بقوانين نيوتن التلاتة كنا بنعرف أن نيوتن وضع
+
+71
+00:05:59,410 --> 00:06:04,190
+تلت قوانين أساسية هي اللي بتحكم علم الميكانيكا in
+
+72
+00:06:04,190 --> 00:06:07,770
+general بالإضافة إلى بعض القوانين الأخرى the first
+
+73
+00:06:07,770 --> 00:06:13,320
+law تومي حكينا عنه بيقول أن objectcontinues in its
+
+74
+00:06:13,320 --> 00:06:18,100
+state of rest or uniform motion until it is forced
+
+75
+00:06:18,100 --> 00:06:23,120
+to change that state by an external force وكلنا
+
+76
+00:06:23,120 --> 00:06:28,360
+يمكن حافظين هذا القانون بيمر علينا في المدارس إنه
+
+77
+00:06:28,360 --> 00:06:33,040
+يبقى الجسم على حالته من السكون أو الحركة المنتظمة
+
+78
+00:06:33,040 --> 00:06:38,240
+ما لم يجبر على تغيير تلك الحالة كيف يجبر؟ بتأثير
+
+79
+00:06:38,240 --> 00:06:45,530
+قوة خارجيةفكما أسلفت سابقا أنه مستحيل جسم يغير
+
+80
+00:06:45,530 --> 00:06:52,630
+حركته بدون وجود قوة خارجية واضحة الجسم ساكن مستحيل
+
+81
+00:06:52,630 --> 00:06:57,990
+يتحرك إلا ييجي حد يحركه بواسطة تأثير قوة معينة
+
+82
+00:06:57,990 --> 00:07:05,290
+بتدفع بالجر بالسحب بأي قوة معينة كذلك اللي مرات
+
+83
+00:07:05,290 --> 00:07:11,580
+بتكون مش واضحة أنه لو جسم بتحركمستحيل يجف بتحرك
+
+84
+00:07:11,580 --> 00:07:18,200
+بحركة منتظمة مستحيل يجف إلا بتأثير قوة خارجية وهذا
+
+85
+00:07:18,200 --> 00:07:22,800
+اللي بيفسر بعض الظواهر اللي بنسميها احنا مرات
+
+86
+00:07:22,800 --> 00:07:27,500
+القصور الذاتي لو احنا كنا في سيارة أو كنا في bus و
+
+87
+00:07:27,500 --> 00:07:32,920
+ال bus فجأة ضرب stop بنلاجأ حالنا احنا دلنا ماشيين
+
+88
+00:07:32,920 --> 00:07:40,810
+فترة معينة ليش؟ لأنهأنا كنت متحرك وبالتالي الأصل
+
+89
+00:07:40,810 --> 00:07:46,190
+إن أبقى على حالتي من الحركة ما لم توجد قوة خارجية
+
+90
+00:07:46,190 --> 00:07:51,470
+تجبرني على التوقف لما السواك ضرب break هو ضرب
+
+91
+00:07:51,470 --> 00:07:55,330
+break لل bus ما ضربش break ليه وبالتالي الأصل إن
+
+92
+00:07:55,330 --> 00:07:59,610
+أنا أبقى حافظ على حالتي من الحركةوأظن ماشي إلى
+
+93
+00:07:59,610 --> 00:08:04,890
+الأمام ولكن لوجود قوة احتكار ما بيني وما بين أرضية
+
+94
+00:08:04,890 --> 00:08:09,730
+ال bus بالآخر بقى جاف لكن بعد ما أكون اتحركت ليه
+
+95
+00:08:09,730 --> 00:08:14,330
+فترة معينة وفي هذه الحالة بيكون الصراعة الابتدائية
+
+96
+00:08:15,090 --> 00:08:17,730
+هي سرعة ال bus والسرعة النهائية هي ال zero
+
+97
+00:08:17,730 --> 00:08:21,110
+وبالتالي لابد ان يتحرك مسافة معينة بحسب ال
+
+98
+00:08:21,110 --> 00:08:26,530
+acceleration اللي موجودة وسببها ال friction وهذه
+
+99
+00:08:26,530 --> 00:08:31,770
+الظاهرة وظواهر كتيرة اتحدثنا عنها بالطبق قانوني
+
+100
+00:08:31,770 --> 00:08:35,290
+نيوتن الأول بالرغم ان قانوني نيوتن الأول يبدو
+
+101
+00:08:35,290 --> 00:08:42,570
+بحالته كنص سهلإلا إنه .. من الأهمية بمكان إنه كتير
+
+102
+00:08:42,570 --> 00:08:49,270
+الطالب بيغفل إنه يطبخها بالقانون ويكونش حاضر دائما
+
+103
+00:08:49,270 --> 00:08:54,530
+عند الطالب في التعامل مع المسائل الميكانيكية لازم
+
+104
+00:08:54,530 --> 00:08:59,130
+هذه الشيء نفهمها إن الجسم مستحيل يتحرك إلا بوجود
+
+105
+00:08:59,130 --> 00:09:05,210
+قوة ومستحيل يجف إلا بوجود قوة هذا هو نص الـ Newton
+
+106
+00:09:05,210 --> 00:09:11,860
+الأولتمام احنا دائما كل مسائلنا بنقيس الإزاحة و
+
+107
+00:09:11,860 --> 00:09:14,540
+اللي منها بنجيب السرعة و اللي منها بنجيب ال
+
+108
+00:09:14,540 --> 00:09:19,200
+acceleration تبعل لمخطط معينة انا بقول ان الجسم
+
+109
+00:09:19,200 --> 00:09:25,740
+يبعد عن شغل معينة فلان بيبعد عن الحق غير عندما
+
+110
+00:09:25,740 --> 00:09:30,040
+يبعد عن زميله وبالتالي دائما لازم يكون عندى مرجعية
+
+111
+00:09:30,040 --> 00:09:34,540
+في قياس الكيميات الفيزيائية هذه المرجعية بيسموها
+
+112
+00:09:34,540 --> 00:09:40,020
+ال frameفي بعض الـ frames إذا كانت متحركة بتسارع
+
+113
+00:09:40,020 --> 00:09:45,200
+بنقول عنها قوانين نيوتن هنا لا تنطبق بنسميها non
+
+114
+00:09:45,200 --> 00:09:48,860
+-inertial frame أما ال frame اللي بيكون قانون
+
+115
+00:09:48,860 --> 00:09:53,840
+نيوتن الأول و القوانين التالية ينطبق عليها بنسميها
+
+116
+00:09:53,840 --> 00:09:57,720
+inertial frame إذن the frame in which Newton's
+
+117
+00:09:57,720 --> 00:10:02,310
+first lawis valid is called the inertial frame
+
+118
+00:10:02,310 --> 00:10:06,070
+عشان كده مرات بنسمي قانوني في الأول the inertial
+
+119
+00:10:06,070 --> 00:10:10,470
+law قانون ال energy ال energy هو هي خاصية عادة
+
+120
+00:10:10,470 --> 00:10:15,990
+نحكي عنها تفصيلة في المادة تقاوم تغيير الحالة في
+
+121
+00:10:15,990 --> 00:10:21,530
+بعض ال frames بتكون هذه القوانين مش صحيحة بجهة شغل
+
+122
+00:10:21,530 --> 00:10:26,070
+أكتر عشان نتعامل معها احنا هتمر علينا غالبافقط الـ
+
+123
+00:10:26,070 --> 00:10:29,610
+inertial frames حتى الكرة الأرضية وإن كانت بتلف
+
+124
+00:10:29,610 --> 00:10:33,670
+حوالين نفسها ولكن هنعتبرها تقريبا على إنها
+
+125
+00:10:33,670 --> 00:10:38,630
+inertial frameأذن زي ما حكينا All accelerated
+
+126
+00:10:38,630 --> 00:10:42,410
+frames are not inertial frames طب عقولنا بنعرف أن
+
+127
+00:10:42,410 --> 00:10:45,790
+الكورة الأرضية تدور حوالين نفسها و بتدور حوالين
+
+128
+00:10:45,790 --> 00:10:48,870
+الشمس وبالتالي في إلها acceleration ولكن ال
+
+129
+00:10:48,870 --> 00:10:53,230
+acceleration تبعتها بدنا نعتبرها تقريبا مهملة
+
+130
+00:10:53,230 --> 00:10:57,110
+وبالنسبة للإنسان اللي بيكون على الأرض بدنا نعتبر
+
+131
+00:10:57,110 --> 00:11:03,440
+الكورة الأرضية is an inertial frameإذن هي مذكورة
+
+132
+00:11:03,440 --> 00:11:07,700
+هنا نصا بهذا البراجراف الأرض يمكن أن تكون تعتبر
+
+133
+00:11:07,700 --> 00:11:14,580
+بشكل عميق اتجارة تجاربها عن الشمس وعن اتجاراتها
+
+134
+00:11:14,580 --> 00:11:18,060
+نفسها احنا مش هنتعامل عن الـ non-inertial frames
+
+135
+00:11:18,060 --> 00:11:23,820
+في هذا المساق هذا موضوع متقدم بضطر أقوله طلبة
+
+136
+00:11:23,820 --> 00:11:29,280
+التخصص في المساقات المتقدمةالان بدنا نميز ما بين
+
+137
+00:11:29,280 --> 00:11:34,480
+ال mass و ال inertia ال inertia خاصية و ال mass is
+
+138
+00:11:34,480 --> 00:11:38,760
+a physical quantity إذا ال inertia is the property
+
+139
+00:11:38,760 --> 00:11:43,420
+of مطعم that resists the change of its state and
+
+140
+00:11:43,420 --> 00:11:48,020
+mass is the measure of this inertiaالإنيرش هي صفة
+
+141
+00:11:48,020 --> 00:11:53,600
+زي لما نقول السخونة والبرودة هذه صفة مين بيقيصها؟
+
+142
+00:11:53,600 --> 00:12:00,500
+درجة الحرارة ككمية فيزيائية تمام؟ بالتالي سخونة
+
+143
+00:12:00,500 --> 00:12:07,560
+والبرودة ظاهرة أو خاصية ولكن لابد يوجد دائما كمية
+
+144
+00:12:07,560 --> 00:12:13,740
+فيزيائية تقيص هذه الظواهر أو هذه الخواص كذلك خاصية
+
+145
+00:12:13,740 --> 00:12:21,300
+المادةفي مقاومة حالتها سكونًا أو حركة هذه خاصية
+
+146
+00:12:21,300 --> 00:12:26,000
+موجودة ربانية خلقية ربنا خلقها حتى في الإنسان وفي
+
+147
+00:12:26,000 --> 00:12:31,270
+كل المادة العلماء قالوا كيف بنقيصها؟اتفقوا على أن
+
+148
+00:12:31,270 --> 00:12:36,510
+الكتلة هي قياس لهذه القصية، إذن الـ Mass هي الكمية
+
+149
+00:12:36,510 --> 00:12:42,590
+الفيزيائية التي تقيص خاصية مقاومة المادة للتغيير
+
+150
+00:12:42,590 --> 00:12:47,410
+تمام، إذن Inertia خاصية و Mass is a physical
+
+151
+00:12:47,410 --> 00:12:52,970
+quantityطبعا كنا بنعرف ان ال mass is a scalar
+
+152
+00:12:52,970 --> 00:12:56,090
+quantity خلاص الكتلة خمسين كيلو جرام تلاتين كيلو
+
+153
+00:12:56,090 --> 00:13:01,550
+جرام عشرة كيلو جرام مية طن عشرة جرام كلها كميات ما
+
+154
+00:13:01,550 --> 00:13:08,430
+حد لما نقوله والله كتلة الطالب او الطالبة الفلاني
+
+155
+00:13:09,340 --> 00:13:12,980
+60 كيلو جرام ماحد بيقول كيف اتجاهه وبالتالي بيكون
+
+156
+00:13:12,980 --> 00:13:18,220
+التعريف كامل لما نذكر فقط مقدار الكتلة إذا the
+
+157
+00:13:18,220 --> 00:13:21,540
+mass is a scalar quantity with a unit of kilogram
+
+158
+00:13:21,540 --> 00:13:25,540
+اللي بواحدة تبعتنا هي ال kilogram عرفنا إن الاص اه
+
+159
+00:13:25,540 --> 00:13:30,740
+unitهي الـ Gram و الـ CGS System هي الـ Gram و في
+
+160
+00:13:30,740 --> 00:13:33,980
+الـ British هي الـ Slug و أحنا كنا عارفين أن
+
+161
+00:13:33,980 --> 00:13:39,980
+الكتلة هي من أحد الكميات الأساسية التلاتة في علم
+
+162
+00:13:39,980 --> 00:13:45,440
+الميكانيكا بالإضافة إلى المسافة أو الطول و الزمن
+
+163
+00:13:45,440 --> 00:13:51,060
+وبالتالي كل الكميات اللاحقة تُكتب بدلرة هذه
+
+164
+00:13:51,060 --> 00:13:55,100
+الكميات الثلاثة اللي أولها هي الـ Mass تمام
+
+165
+00:13:57,290 --> 00:14:01,630
+في مصطلح مرات بيخربط فيه الطلاب و هو الوزن و
+
+166
+00:14:01,630 --> 00:14:06,210
+الكتلة في عرف ان احنا بنقول الوزن بساوي 60
+
+167
+00:14:06,210 --> 00:14:12,670
+kilogram طبعا هذا عرف لكن علميا الوزن هو عبارة عن
+
+168
+00:14:12,670 --> 00:14:17,670
+قوة وبالتالي في فرق ما بين الكتلة و الوزن there is
+
+169
+00:14:17,670 --> 00:14:21,530
+a difference between mass and weight هناك فرق
+
+170
+00:14:21,530 --> 00:14:27,510
+علميا فرق كبير ما بين الكتلة و الوزنThe mass التي
+
+171
+00:14:27,510 --> 00:14:31,370
+تعرفتها of a body is a measure of the inertia of
+
+172
+00:14:31,370 --> 00:14:36,430
+that body وبتكون the same everywhere وين ما روحنا
+
+173
+00:14:36,430 --> 00:14:41,290
+وفي أي ظرف الكتلة واحدة مافيش عندي مجال و مرات
+
+174
+00:14:41,290 --> 00:14:45,090
+بنسميها مقدار ما يحتويه الجسم من المادة وبالتالي
+
+175
+00:14:45,090 --> 00:14:49,870
+مافيش مجال الكتلة تتغير حسب الموقع و لا حسب الحركة
+
+176
+00:14:49,870 --> 00:14:53,950
+الكتلة ثابتة في كل الأحوال ولكن ال weight وهو
+
+177
+00:14:53,950 --> 00:14:59,170
+الوزنis the force exerted by gravity on it الفرصة
+
+178
+00:14:59,170 --> 00:15:02,430
+تعتمد
+
+179
+00:15:02,430 --> 00:15:06,510
+على تصارع الجاذبية الأرضية والجاذبية الأرضية
+
+180
+00:15:06,510 --> 00:15:12,070
+مشكلتها أنها بتتغير من موقع لموقع ونفس العملية
+
+181
+00:15:12,070 --> 00:15:17,110
+الوزن ممكن يتغير بحسب الحركة وبالتالي weight of
+
+182
+00:15:17,110 --> 00:15:20,770
+the body depends on the body's position والمثال
+
+183
+00:15:20,770 --> 00:15:27,400
+اللي دايما احنا بنحكيه انهوزن الجسم في رماله وهي
+
+184
+00:15:27,400 --> 00:15:32,040
+منطقة عالية في فلسطين هيكون قطعا أخف من وزن الجسم
+
+185
+00:15:32,040 --> 00:15:36,880
+في أريحه وهي المنطقة المنخفضة في فلسطين وطبعا
+
+186
+00:15:36,880 --> 00:15:42,480
+هنيجي كيش تأثير ارتفاع على الجاذبية الأرضية
+
+187
+00:15:42,480 --> 00:15:50,230
+القانون التاني لنيوتونز هو القانونالحسابي الجبري
+
+188
+00:15:50,230 --> 00:15:55,990
+اللي يربط القوة بالـ acceleration بيقول لي الـ
+
+189
+00:15:55,990 --> 00:16:00,590
+acceleration of an object is directly proportional
+
+190
+00:16:00,590 --> 00:16:05,230
+to the net force acting on it and inversely
+
+191
+00:16:05,230 --> 00:16:09,690
+proportional to its mass بمعنى آخر the sum of the
+
+192
+00:16:09,690 --> 00:16:15,370
+forces equal M multiplied by acceleration جمع جميع
+
+193
+00:16:15,370 --> 00:16:21,400
+القوة المؤثرة على الجسمبيساوي الكتلة في التصارع زي
+
+194
+00:16:21,400 --> 00:16:27,310
+ما توي حكينا واضح الأن من الرصد أنهفي F في إيه؟
+
+195
+00:16:27,310 --> 00:16:31,030
+مافيش F مافيش acceleration وبالتالي ال
+
+196
+00:16:31,030 --> 00:16:35,670
+acceleration الشيه هي معجل تغير السرعة بالنسبة
+
+197
+00:16:35,670 --> 00:16:40,830
+للزمن بدون acceleration السرعة بتتغيرش إذا الجسم
+
+198
+00:16:40,830 --> 00:16:44,990
+ساكن بيضلوا ساكن إذا الجسم متحرك بيضلوا متحرك بنفس
+
+199
+00:16:44,990 --> 00:16:48,770
+السرعة من دون تغيرنا السرعة لأنه لو صار تغيره
+
+200
+00:16:48,770 --> 00:16:51,950
+معناته في acceleration وال acceleration لابد أن
+
+201
+00:16:51,950 --> 00:16:57,210
+يكون لها مسبب وهي القوةإذاً هذا هو أيضًا ترجمة
+
+202
+00:16:57,210 --> 00:17:01,790
+مباشرة لقانون نيوتين الأول يبقى الجسم على حالته
+
+203
+00:17:01,790 --> 00:17:06,790
+سكونًا أو حركة منتظمة ما لم تؤثر عليه قوة خارجية
+
+204
+00:17:06,790 --> 00:17:10,970
+القوة الخارجية مش موجودة no acceleration يعني
+
+205
+00:17:10,970 --> 00:17:14,010
+مافيش تغير في ال velocity مافيش تغير في ال
+
+206
+00:17:14,010 --> 00:17:18,950
+velocity يعني الجسم يحافظ على حالته من السكون أو
+
+207
+00:17:18,950 --> 00:17:23,690
+السرعة المنتظمة وهذا هو القانون الأساسي اللي هنطبق
+
+208
+00:17:23,690 --> 00:17:29,100
+عليهكل مساعدنا في هذا الشبطر بمساهمة قانون نيوتن
+
+209
+00:17:29,100 --> 00:17:34,020
+الأول وقانون نيوتن التالت إذا هذه هي الـ net force
+
+210
+00:17:34,020 --> 00:17:37,680
+acting on the body و لازم نفهم إن هذا ال force is
+
+211
+00:17:37,680 --> 00:17:41,220
+a vector و بالتالي ال summation أو الجمع هو جمع
+
+212
+00:17:41,220 --> 00:17:44,860
+vectors ماينفعش نقول خمسة باتجاه الشمال و أربعة
+
+213
+00:17:44,860 --> 00:17:50,240
+باتجاه الشرق بساوة تسعة لأ لابد نجمعهم ك vectors
+
+214
+00:17:50,240 --> 00:17:54,120
+زي ما اتعلمنا في الشبطر الأول بنكتب ال vector أو
+
+215
+00:17:54,120 --> 00:17:58,500
+كلقوة باتجاه الـ I والـ J بنحللها إلى مركباتها
+
+216
+00:17:58,500 --> 00:18:01,380
+الصينية والصادية وبعد كده بنعمل عملية الجمع
+
+217
+00:18:01,380 --> 00:18:04,930
+العاديةتمام، إذا الـ last equation عشان نسهّل
+
+218
+00:18:04,930 --> 00:18:09,230
+علينا العملية بتجسمها إلى two components the x
+
+219
+00:18:09,230 --> 00:18:12,390
+component the summation of the x component of the
+
+220
+00:18:12,390 --> 00:18:15,550
+forces equal the mass which is a scalar quantity
+
+221
+00:18:15,550 --> 00:18:19,470
+multiplied by the x component of acceleration and
+
+222
+00:18:19,470 --> 00:18:22,850
+the summation of the y components of the force
+
+223
+00:18:22,850 --> 00:18:27,590
+equal the mass multiplied by the y component of
+
+224
+00:18:27,590 --> 00:18:32,310
+the acceleration تمامإذا كان عندك مراكبة تالتة
+
+225
+00:18:32,310 --> 00:18:36,390
+تكون موجودة، إحنا إن شاء الله، غالباً في أسئلتنا،
+
+226
+00:18:36,390 --> 00:18:40,010
+هنكون عنق فقط two components والحركة هتكون two
+
+227
+00:18:40,010 --> 00:18:44,340
+-dimensional بأغلب الأحوالتمام الـ Newton's third
+
+228
+00:18:44,340 --> 00:18:49,480
+law وهو المشهور واللي يمكن أغلبنا بنحفظه بسهولة
+
+229
+00:18:49,480 --> 00:18:54,300
+وهو لكل فعل رد فعل مساوي له في المقدار ومضاد له
+
+230
+00:18:54,300 --> 00:18:58,080
+بالاتجاه for every action there is an equal but
+
+231
+00:18:58,080 --> 00:19:02,460
+opposite reaction هذا هو قانوني وبالتالي لو كان في
+
+232
+00:19:02,460 --> 00:19:09,110
+عندي two blocks or two bodiesالأول سيؤثر على
+
+233
+00:19:09,110 --> 00:19:14,070
+الثاني بقوة والثاني أيضًا سيؤثر على الأول بقوة
+
+234
+00:19:14,070 --> 00:19:19,890
+نفسها ولكن مختلفة، غير موجودة فإن F12 إذا كانت
+
+235
+00:19:19,890 --> 00:19:25,290
+القوة تعمل على البرتكيل 1باستخدام البرتقال
+
+236
+00:19:25,290 --> 00:19:30,290
+الاثنان، فإذا تتعامل اتفاق اتفاق اتفاق نمبر واحد
+
+237
+00:19:30,290 --> 00:19:33,430
+على نمبر نمبر اتفاق نمبر اتفاق نمبر اتفاق نمبر
+
+238
+00:19:33,430 --> 00:19:36,930
+اتفاق نمبر اتفاق نمبر اتفاق نمبر اتفاق نمبر اتفاق
+
+239
+00:19:36,930 --> 00:19:37,950
+نمبر اتفاق نمبر اتفاق نمبر اتفاق نمبر اتفاق نمبر
+
+240
+00:19:37,950 --> 00:19:39,730
+اتفاق نمبر اتفاق نمبر اتفاق نمبر اتفاق نمبر اتفاق
+
+241
+00:19:39,730 --> 00:19:41,710
+نمبر اتفاق نمبر اتفاق نمبر اتفاق نمبر اتفاق نمبر
+
+242
+00:19:41,710 --> 00:19:47,050
+اتفا
+
+243
+00:19:50,900 --> 00:19:56,720
+تأثيره واضح ومعروف كل جسم بيأثر بغض النظر عن
+
+244
+00:19:56,720 --> 00:20:01,200
+الكتلة حتى لو كان جسم كبير وجسم صغير الجسم الكبير
+
+245
+00:20:01,200 --> 00:20:05,100
+بيأثر على الجسم الصغير بنفس القوة التي يؤثر فيها
+
+246
+00:20:05,100 --> 00:20:09,100
+الجسم الصغير على الجسم الكبير الكتلة مالهاش دعوة
+
+247
+00:20:09,100 --> 00:20:13,520
+القوة لابد أن تتساوى مقدارا فقط بيكون معاكسة
+
+248
+00:20:13,520 --> 00:20:20,930
+بالاتجاه هذه الشيء معروفةتمام؟ وبالتالي طبعا كنا
+
+249
+00:20:20,930 --> 00:20:26,170
+بنعرف أن F12 هي القوة اللي بتأثر على 1 لكن F21 هي
+
+250
+00:20:26,170 --> 00:20:30,870
+القوة اللي بتأثر على 2 فدائما الفعل ورد الفعل
+
+251
+00:20:30,870 --> 00:20:35,330
+بيأثروش على نفس الجسم وإلا كلهم بلغوا بعض يعني
+
+252
+00:20:35,330 --> 00:20:40,420
+مستحيلتطلع عندك معادلة فيها فعل و رد فعلها بحيث
+
+253
+00:20:40,420 --> 00:20:43,480
+انهم يلغوا بعض، مش صحيح لأنه احنا كل معادلة
+
+254
+00:20:43,480 --> 00:20:48,280
+بنعملها لكل جسم لحد، وبالتالي الفعل و رد الفعل مش
+
+255
+00:20:48,280 --> 00:20:53,100
+ها يتقابلوا في معادلة واحدة، no way انهم يكون لهم
+
+256
+00:20:53,340 --> 00:20:56,580
+Cancellation في نفس المعادلة عشان بيقول الـ remark
+
+257
+00:20:56,580 --> 00:21:00,980
+action and reaction act on different bodies كل
+
+258
+00:21:00,980 --> 00:21:04,740
+واحدة هتلوها في معادلة مختلفة وإن كانت بتساوي في
+
+259
+00:21:04,740 --> 00:21:09,100
+المقدار وبيكون عكس بعد في الاتجاه تمام زي ما حنا
+
+260
+00:21:09,100 --> 00:21:15,560
+متفطيلالقانون اللي هنشر عليه هو the summation of F
+
+261
+00:21:15,560 --> 00:21:20,720
+equal M في A هذا هو القانون تبع نيوتن التاني
+
+262
+00:21:20,720 --> 00:21:26,900
+وبالتالي بالزمن ما هي القوة التي تؤثر على الجسمما
+
+263
+00:21:26,900 --> 00:21:32,000
+هي القوة التي تؤثر على الجسم؟ إذا المفتاح حل مسائل
+
+264
+00:21:32,000 --> 00:21:35,920
+هذا ال chapter وحتى ال chapter اللي وراه وكثير من
+
+265
+00:21:35,920 --> 00:21:41,940
+مسائل علم الميكانيكا هو إنك تحدد ما هي القوة وما
+
+266
+00:21:41,940 --> 00:21:46,880
+هي القوة التي تؤثر على الجسمعشان هيك تم الاتفاق
+
+267
+00:21:46,880 --> 00:21:52,540
+على إنه نعرف رسمة توضح هذه القوة التي تؤثر على
+
+268
+00:21:52,540 --> 00:21:57,100
+الجسم هذه الرسمة سميت بالـ Free Body Diagram
+
+269
+00:21:57,100 --> 00:22:01,520
+Diagram معناته رسمة is a free body diagram is a
+
+270
+00:22:01,520 --> 00:22:06,040
+diagram showing all the forces acting on the body
+
+271
+00:22:06,040 --> 00:22:10,800
+and طبعاً don't include the forces the body exerts
+
+272
+00:22:10,800 --> 00:22:14,080
+on other bodies أنا بدي القوة التي تؤثر على الجسم
+
+273
+00:22:14,460 --> 00:22:18,300
+هو إيش بيأثر على غيره؟ هذا بيعني ليش هذه الرسمة،
+
+274
+00:22:18,300 --> 00:22:21,680
+أنا بدي القوة التي تؤثر، لأن قانون الـ Newton هنا
+
+275
+00:22:21,680 --> 00:22:26,320
+بيقول لي، هذه مجموعة القوة التي تؤثر على الجسم،
+
+276
+00:22:26,320 --> 00:22:31,130
+ملاي تعوى بالقوة التي يؤثر فيها الجسم على غيرهتمام
+
+277
+00:22:31,130 --> 00:22:35,370
+إذا هذه هي القوة التي تؤثر على الجسم فانا رسمتي
+
+278
+00:22:35,370 --> 00:22:40,350
+فقط محصورة بالقوة التي تؤثر على الجسم إذا أنا عرفت
+
+279
+00:22:40,350 --> 00:22:46,930
+أرسم هكذا رسمة بيكون ما تبقى من حل السؤال هو شغلات
+
+280
+00:22:46,930 --> 00:22:51,390
+جبرية لا أكثر ولا أقل و بتكون العملية سهلة عشان
+
+281
+00:22:51,390 --> 00:22:54,430
+كده احنا لازم و احنا قاعدين بنحل أول حاجة نعملها
+
+282
+00:22:54,430 --> 00:22:57,050
+نرسم ال free body diagram بدون رسمة ال free body
+
+283
+00:22:57,050 --> 00:23:02,400
+diagram الواحد متطلعش على الحلعلى طول قطعا بيكون
+
+284
+00:23:02,400 --> 00:23:07,100
+الحل Zero او ان الطالب جاعت بحل شغلة هو مشاهد ايش
+
+285
+00:23:07,100 --> 00:23:10,500
+اللي بيكتبه فلابد ان يرسم ال body diagram اول و
+
+286
+00:23:10,500 --> 00:23:16,120
+بعدين يبدأ يطبق قوانين ال Newtonتمام كيف بنحل زي
+
+287
+00:23:16,120 --> 00:23:19,700
+ما احنا متفقين هذا chapter مهم و اذا احنا فهمناه
+
+288
+00:23:19,700 --> 00:23:22,540
+كثير من الشباتل القادمة هتكون بالنسبة لنا سهلة
+
+289
+00:23:22,540 --> 00:23:27,420
+وبالتالي بنكتب strategy for solving problems using
+
+290
+00:23:27,420 --> 00:23:31,660
+Newton's laws ايش نسوي؟ ما هي الخطوات التي سنتبعها
+
+291
+00:23:31,660 --> 00:23:35,300
+عشان نقدر نحل مسائل الميكانيكا اللي اتعلق في
+
+292
+00:23:35,300 --> 00:23:40,380
+قوانين الـNewton'sأول حاجة زي ما حكينا بدنا
+
+293
+00:23:40,380 --> 00:23:45,440
+Coordinates بدنا مرجعية بدنا انحل القوامة تبعا لـ
+
+294
+00:23:45,440 --> 00:23:49,680
+Axis أنا بدأ اختارها اذا تختار مستخدم كواردينيات
+
+295
+00:23:49,680 --> 00:23:56,260
+مع اتجاه افضل اذا اتجاه التسلسل اذا كان معروف احنا
+
+296
+00:23:56,260 --> 00:24:01,400
+كنا بنعرف ان انا عندي X وY بهذا الشكللكن أحياناً
+
+297
+00:24:01,400 --> 00:24:06,800
+هذه الـ Axis لا تناسب مسئلتي لو دلتي مصاب عليها،
+
+298
+00:24:06,800 --> 00:24:10,900
+العملية الحسابية للمسألة تتعقد أحياناً بضطر هذه
+
+299
+00:24:10,900 --> 00:24:14,820
+الـ Axis أغيرها ال positive ممكن تكون هنا، هذه ال
+
+300
+00:24:14,820 --> 00:24:18,790
+positive أنزلها تحتكلهم أميلهم أخلي ال X هيك و
+
+301
+00:24:18,790 --> 00:24:22,230
+أخلي ال Y هيك أنا طبعا عندي الشرط الوحيد و ال
+
+302
+00:24:22,230 --> 00:24:26,490
+restriction الوحيد أن X و Y يكونوا متعمدين X تكون
+
+303
+00:24:26,490 --> 00:24:29,950
+أفقية تكون عمودية تكون مائلة هذا كله optional
+
+304
+00:24:29,950 --> 00:24:34,730
+طبيعة المسألة هي اللي بتفرضها عليها إذن أول خطوة
+
+305
+00:24:34,730 --> 00:24:38,710
+قبل ما أعمل أي حاجة بدي أشوف إيه ال axis المناسبة
+
+306
+00:24:38,710 --> 00:24:42,870
+إليه أختار مجموعة مجموعة معينة و positive
+
+307
+00:24:42,870 --> 00:24:48,070
+directionيفضل تعملها مع اتجاه الـ acceleration إذا
+
+308
+00:24:48,070 --> 00:24:50,850
+كانت الـ acceleration معروفة في بعض المسائل بتكون
+
+309
+00:24:50,850 --> 00:24:54,050
+الـ acceleration مش معروف بالظبط يعني ماقدرش أعمل
+
+310
+00:24:54,050 --> 00:24:58,730
+guessing عليها تخمين وبالتالي ساعتها باخد اتجاه
+
+311
+00:24:58,730 --> 00:25:03,210
+الموضوع كيف أنا مابدي عشان ليش باخد هذا الشيء عشان
+
+312
+00:25:03,210 --> 00:25:07,530
+هذا ال side يكون positive ويظلني أنا أشتغل على ال
+
+313
+00:25:07,530 --> 00:25:12,290
+left hand side لل equationبعد كده بعد ما حددت ال
+
+314
+00:25:12,290 --> 00:25:16,110
+axis قبل ما أبدأ أشغل بدي أشوف القوة اللي بتأثر
+
+315
+00:25:16,110 --> 00:25:20,150
+على الجسم إيش كيف بدي أفرج القوة ضالوري صار في رسم
+
+316
+00:25:20,150 --> 00:25:25,010
+عنا اسمها ال free body diagram إذا لابد إن أرسم
+
+317
+00:25:25,010 --> 00:25:30,240
+free body diagram for eachblock of the system يعني
+
+318
+00:25:30,240 --> 00:25:33,860
+عندى كتلتين بيكون عندى two free body diagrams عندى
+
+319
+00:25:33,860 --> 00:25:37,160
+تلت كتل هيكون عندى three free body diagrams وها
+
+320
+00:25:37,160 --> 00:25:41,360
+كذا إذا ن draw a free body diagram for each body
+
+321
+00:25:41,360 --> 00:25:45,360
+of the system separately كل واحدة لحال عدة رسمات
+
+322
+00:25:45,360 --> 00:25:50,260
+بعد كده القوة بينت ال axis تبعتي أنا اخترته وحددته
+
+323
+00:25:50,260 --> 00:25:58,590
+بتطلع على القوة هى كلها مصنفة سيلية وصاديةأو ان في
+
+324
+00:25:58,590 --> 00:26:02,250
+بعض القوة بالذنب اني احللها طب عن سينية صادية بناء
+
+325
+00:26:02,250 --> 00:26:05,710
+على ايش؟ بناء على المحاول اللي انا اخترتها resolve
+
+326
+00:26:05,710 --> 00:26:10,050
+each force into its components according to the
+
+327
+00:26:10,050 --> 00:26:12,550
+chosen coordinates حسب ال coordinate اللي انت
+
+328
+00:26:12,550 --> 00:26:16,530
+اخترتها يعني مش دايما العمودي هو صاديممكن العمودي
+
+329
+00:26:16,530 --> 00:26:21,110
+يلزمنا أحيانا نحلله لأن ال X و ال Y تبعتي ما هواش
+
+330
+00:26:21,110 --> 00:26:25,450
+أفق و عمودي و جوهر العمودي هو Y component لأ إذا
+
+331
+00:26:25,450 --> 00:26:29,630
+ال axis أو اللي بختارها بناء على ذلك ببدأ أعرف
+
+332
+00:26:29,630 --> 00:26:34,930
+القوة هذه هي صينية أو صادية أو بلزم نحللها إلى
+
+333
+00:26:34,930 --> 00:26:40,860
+صينية أو صاديةتمام بعد هيك خلاص بيصير المسألة شبه
+
+334
+00:26:40,860 --> 00:26:45,280
+عادية بدي أشوف زي كل مسألة جابرية أشوف الشيه عند
+
+335
+00:26:45,280 --> 00:26:49,320
+المعطيات و الشيه المطالب ال .. ال known و ال
+
+336
+00:26:49,320 --> 00:26:53,500
+unknown quantities بحددها و بكون من ديها رموز F و
+
+337
+00:26:53,500 --> 00:26:59,060
+acceleration و .. و X و .. و M و كل هذه بتكون إلها
+
+338
+00:26:59,060 --> 00:27:02,100
+رموز بالتالي بقدر أعرف إيش هو المعطى و إيش هو
+
+339
+00:27:02,100 --> 00:27:05,260
+المطلوب now you can apply Newton's second law for
+
+340
+00:27:05,260 --> 00:27:08,360
+one body or more of the system accordinginto the
+
+341
+00:27:08,360 --> 00:27:11,780
+unknown quantities وببدأ أحط قانوني نيوتن التاني
+
+342
+00:27:11,780 --> 00:27:16,880
+عندي أصلا انا two forms of Newton's laws واحدة
+
+343
+00:27:16,880 --> 00:27:20,460
+بالاتجاه الصيني واحدة بالاتجاه الصاضي وإذا كان في
+
+344
+00:27:20,460 --> 00:27:23,560
+عندي أكتر من كتلة برضه بطبق قانوني نيوتن التاني
+
+345
+00:27:23,560 --> 00:27:27,240
+للكتلة التانية أو التالتة وها كده لما صرف عندي عدد
+
+346
+00:27:27,240 --> 00:27:31,820
+من المعادلات بساوي عدد المجهيل ببدأ حل جبريا
+
+347
+00:27:31,820 --> 00:27:39,050
+للمجهيل و بطلع مجهيل خلنانبدأ حل مثال بسيط جدا
+
+348
+00:27:39,050 --> 00:27:46,170
+عشان يكون exercise لكيف نطبق قانون نيوتن الأول زي
+
+349
+00:27:46,170 --> 00:27:51,120
+ما بنقول بنحمي شوية شويةبقول لي بطل يريد أن يسحق
+
+350
+00:27:51,120 --> 00:27:56,780
+صندوق يمتل ثلاث كيلو جرام خلال محطة مباشرة ومباشرة
+
+351
+00:27:56,780 --> 00:28:00,100
+على محطة مباشرة على محطة مباشرة على محطة مباشرة
+
+352
+00:28:00,100 --> 00:28:00,800
+على محطة مباشرة على محطة مباشرة على محطة مباشرة
+
+353
+00:28:00,800 --> 00:28:03,880
+على محطة مباشرة على محطة مباشرة على محطة مباشرة
+
+354
+00:28:03,880 --> 00:28:03,980
+على محطة مباشرة على محطة مباشرة على محطة مباشرة
+
+355
+00:28:03,980 --> 00:28:07,620
+على محطة مباشرة على محطة
+
+356
+00:28:07,620 --> 00:28:14,110
+مهو يدفع الكتب بطولة مع قوة اتنين نيوتين اتنين
+
+357
+00:28:14,110 --> 00:28:17,210
+نيوتين اتنين نيوتين اتنين نيوتين اتنين نيوتين
+
+358
+00:28:17,210 --> 00:28:21,210
+اتنين نيوتين اتنين نيوتين اتنين نيوتين اتنين
+
+359
+00:28:21,210 --> 00:28:22,630
+نيوتين اتنين نيوتين اتنين نيوتين اتنين نيوتين
+
+360
+00:28:22,630 --> 00:28:22,690
+اتنين نيوتين اتنين نيوتين اتنين نيوتين اتنين
+
+361
+00:28:22,690 --> 00:28:22,790
+نيوتين اتنين نيوتين اتنين نيوتين اتنين نيوتين
+
+362
+00:28:22,790 --> 00:28:26,030
+اتنين نيوتين اتنين نيوتين اتنين نيوتين اتنين
+
+363
+00:28:26,030 --> 00:28:38,090
+نيوتين اتنين نيوتين اتنين نيوتين اتنين نيوتعلى
+
+364
+00:28:38,090 --> 00:28:47,210
+السطح والطفل اتراج او افعل افعال على 3 كيلو جرام
+
+365
+00:28:47,210 --> 00:28:53,070
+بقوة 2 نوتن افعال عاليه على المجلد كما يظهر في
+
+366
+00:28:53,070 --> 00:29:00,850
+الفيجور الآن المجلد سيتحرك بعقل بسبب افعال القوة
+
+367
+00:29:00,850 --> 00:29:06,840
+الآن كيف بدي اجيب الأول خطوة بدي اختار ال axis
+
+368
+00:29:06,840 --> 00:29:11,140
+طبعا هذا سؤال تقليدي وبالتالي ال axis تبعتي هتكون
+
+369
+00:29:11,140 --> 00:29:17,700
+هي ال axis ال default ال x و ال y المعروفة ال x هو
+
+370
+00:29:17,700 --> 00:29:23,320
+المحور الأفقي و ال y هو المحور العمودي up in the
+
+371
+00:29:23,320 --> 00:29:25,780
+positive sense أو to the right in the positive
+
+372
+00:29:25,780 --> 00:29:29,740
+sense of the x axis إذا المحاور معرفة الآن يلا
+
+373
+00:29:29,740 --> 00:29:35,260
+نشوف أيش قوة بتأثر على الكتلةطبعا كنا بنعرف ان
+
+374
+00:29:35,260 --> 00:29:41,260
+نووي كتلة مايكونهاش وزن او الجاذبية ماتأثرش على
+
+375
+00:29:41,260 --> 00:29:46,240
+الجسم طول ما احنا كل شغلنا هيكون في مجال الجاذبية
+
+376
+00:29:46,240 --> 00:29:50,260
+الأرضية اذا اول قوة بدنا نرسمها في ال free body
+
+377
+00:29:50,260 --> 00:29:55,180
+diagram ماننساش جائما هو الوزن وعرفنا الوزن هالجت
+
+378
+00:29:55,180 --> 00:30:00,790
+قعدنا نشوف هو عبارة عن قوتةالجاذبية على الجسم
+
+379
+00:30:00,790 --> 00:30:05,870
+weight is the force of gravity on the block زي ما
+
+380
+00:30:05,870 --> 00:30:11,450
+عرفناها سابقا طبعا الشغلة التانية ان الوزن اتجاهه
+
+381
+00:30:11,450 --> 00:30:16,870
+مستحيل يتغير تحت اي حال من الأحوال بغض النظر عن
+
+382
+00:30:16,870 --> 00:30:20,830
+طبيعة المسألة المسألة بتمشي لأعلى لأسفل باتجاه أفق
+
+383
+00:30:20,830 --> 00:30:25,410
+باتجاه مائل باتجاه دائري دائما الوزن بيكون
+
+384
+00:30:25,410 --> 00:30:31,870
+directlyDownward باتجاهه إلى أسفل مباشرة إذا القوة
+
+385
+00:30:31,870 --> 00:30:36,850
+اللي عندي و هي الوزن هي MG و M هي 3 كيلو جرام إذا
+
+386
+00:30:36,850 --> 00:30:42,950
+ان في عندي 3G بتأثر إلى أسفل مباشرة هو معطيني طبعا
+
+387
+00:30:42,950 --> 00:30:50,910
+أن ال boy أثر عليهابقوة مقدارها اتنين نيوتن والان
+
+388
+00:30:50,910 --> 00:30:56,570
+انت عند قوة جديدة مين اللي بمنع ان الجسم ينزل اسفل
+
+389
+00:30:56,570 --> 00:31:02,750
+وجود الطاولة يعني معناته الطاولة تؤثر على الجسم
+
+390
+00:31:02,750 --> 00:31:08,110
+بقوة الطاولة تؤثر على الجسم بقوة عشان الطاولة
+
+391
+00:31:08,110 --> 00:31:14,320
+ملساء هذه القوة بتكونdirectly perpendicular to the
+
+392
+00:31:14,320 --> 00:31:18,040
+table perpendicular to the table or normal to the
+
+393
+00:31:18,040 --> 00:31:22,460
+table عشانها دائما هذه القوة normal to the surface
+
+394
+00:31:22,460 --> 00:31:27,700
+سميناها ان normal to the surface اذا في عندي ال
+
+395
+00:31:28,010 --> 00:31:32,590
+الشي هدى قوة السطح على الجسم طبعا لما يكون في عندى
+
+396
+00:31:32,590 --> 00:31:36,630
+احتكار بيكون قوة السطح عبارة عن مركبتين احتكار و
+
+397
+00:31:36,630 --> 00:31:39,530
+ايه لكن الان احنا الاحتكار ملغى لأن ال smooth
+
+398
+00:31:39,530 --> 00:31:44,930
+surface مهمل هنا وبالتالي هدى هي قوة الطاولة على
+
+399
+00:31:44,930 --> 00:31:50,490
+الكتلةهذه هي القوة التلاتة الوحيدة التي تؤثر على
+
+400
+00:31:50,490 --> 00:31:55,390
+الجسم بعد هيك بصير فيش عندي مشكلة إطلاقا إذا أنا
+
+401
+00:31:55,390 --> 00:32:00,270
+هنا مغلطتش رسمت الرسمة صح بالاتجاهات الصح no way
+
+402
+00:32:00,270 --> 00:32:03,770
+أن يكون بعد كده في عندي أخطاء إلا إن كانت بتكون
+
+403
+00:32:03,770 --> 00:32:09,470
+أخطاء حسابية جبرية بسيطة بتأثرش على بنية حل السؤال
+
+404
+00:32:11,340 --> 00:32:14,740
+رسمنا فيه body diagram بعد ما حددنا ال axis تبعتنا
+
+405
+00:32:14,740 --> 00:32:18,820
+مزاى ال axis تبعتى زى ما نحددها الأفق سينى
+
+406
+00:32:18,820 --> 00:32:22,280
+والعمودي صاضي بتطلع على القوى التلاتة لاتنين
+
+407
+00:32:22,280 --> 00:32:26,860
+النيوت الوفقية يعنى السينية ال MG عمودية إلى أسفل
+
+408
+00:32:26,860 --> 00:32:31,360
+إذا صاضيةالـ N عمودية، إذا برضه صادية، إذا مافيش
+
+409
+00:32:31,360 --> 00:32:36,320
+عندي ولا قوة تحتاج إلى تحليل كل القوة مصنفة إلى
+
+410
+00:32:36,320 --> 00:32:40,260
+سينية أو صادية بحسب الـ axis دي اختارتها وبالتالي
+
+411
+00:32:40,260 --> 00:32:43,540
+ببدأ أشتغل إذا زي ما حكينا N is called the normal
+
+412
+00:32:43,540 --> 00:32:46,880
+force which is a force exerted on the body by the
+
+413
+00:32:46,880 --> 00:32:51,000
+surface and mg represents the weight of the box
+
+414
+00:32:51,290 --> 00:32:54,790
+الان باستخدام الـ Newton's second law عندي انا الـ
+
+415
+00:32:54,790 --> 00:32:58,410
+Newton جسمته إلى سيني و صاضي نبدأ بالسيني وده ال
+
+416
+00:32:58,410 --> 00:33:01,890
+acceleration و ال acceleration قطعة سينية بحسب
+
+417
+00:33:01,890 --> 00:33:06,710
+بنية السؤال و معطيات السؤال ان الجسم بتحرك على
+
+418
+00:33:06,710 --> 00:33:11,270
+horizontal surface اذا الحركة أفقية اذا مجموعة
+
+419
+00:33:11,270 --> 00:33:16,370
+القوة السينية بسوء اما في التسارع السيني و هو
+
+420
+00:33:16,370 --> 00:33:21,080
+التسارع الوحيد لان مافيش عندي تسارع صاضيأكم قوة
+
+421
+00:33:21,080 --> 00:33:27,820
+صينية فيه؟ ماعندي إلا قوة صينية واحدة وهي two
+
+422
+00:33:27,820 --> 00:33:34,640
+نيوتن فبقول على طول two equal substituting for M
+
+423
+00:33:34,640 --> 00:33:41,200
+by three لأن M بتسوي تلات كيلو جرامmultiplied by a
+
+424
+00:33:41,200 --> 00:33:45,220
+so we have a equals two over three and which
+
+425
+00:33:45,220 --> 00:33:49,020
+equals 0.67 meter per second squared هذا هو
+
+426
+00:33:49,020 --> 00:33:53,760
+التسارع لو بدي أجيب n بطبق قانون نيوتن التاني
+
+427
+00:33:53,760 --> 00:33:56,960
+بالاتجاه الصاضي وبعينه كنا عارفين في الاتجاه
+
+428
+00:33:56,960 --> 00:34:01,300
+الصاضي there is no acceleration فبالتالي بتكون n
+
+429
+00:34:01,300 --> 00:34:08,260
+equal to mg تمام الآن مثال آخر وبرضه مشهور ومر
+
+430
+00:34:08,260 --> 00:34:14,140
+علينا بكثرةفي المدارس اللي هو الـ Atos Machine
+
+431
+00:34:14,140 --> 00:34:19,300
+بيقول عندي two masses connected by a string and
+
+432
+00:34:19,300 --> 00:34:23,380
+the string passes over a light frictionless pallet
+
+433
+00:34:23,380 --> 00:34:29,900
+إذا بيقوللي عندي two masses و مديني M1 و M2م1 أكتر
+
+434
+00:34:29,900 --> 00:34:35,480
+من م2 م1 أكتر من م2 يتم تحطيه من الجهة العلوية
+
+435
+00:34:35,480 --> 00:34:43,780
+بطاقة ضعيفة بطاقة ضعيفة بطاقة ضعيفة بطاقة ضعيفة
+
+436
+00:34:43,780 --> 00:34:47,000
+بطاقة ضعيفة بطاقة ضعيفة بطاقة ضعيفة بطاقة ضعيفة
+
+437
+00:34:47,000 --> 00:34:48,120
+بطاقة ضعيفة بطاقة ضعيفة بطاقة ضعيفة بطاقة ضعيفة
+
+438
+00:34:48,120 --> 00:34:53,890
+بطاقة ضعيفة بطاقةتمام وعندي ال string باللون
+
+439
+00:34:53,890 --> 00:34:58,110
+الأحمر في عندي M1 و M2 زي ما حنا حكينا بحسب
+
+440
+00:34:58,110 --> 00:35:02,930
+المعطيات M1 is greater than M2 this means that M1
+
+441
+00:35:02,930 --> 00:35:09,270
+will move down and M2 will move up تمام إيش بده؟
+
+442
+00:35:09,270 --> 00:35:12,510
+find the acceleration of the masses and the
+
+443
+00:35:12,510 --> 00:35:19,060
+tension in the string وبده أيضامقدار الشد في الحبل
+
+444
+00:35:19,060 --> 00:35:22,740
+بالإضافة إلى الـ acceleration لأن حيث يكون في عندي
+
+445
+00:35:22,740 --> 00:35:26,200
+حركة تبدأ من السكون و يصبح في عندي حركة و بتتصارع
+
+446
+00:35:26,200 --> 00:35:31,280
+مع الزمن تم .. زي ما احنا متفقين بدنا نرسم لان two
+
+447
+00:35:31,280 --> 00:35:34,700
+free body diagrams و طبعا كمان مرة محاوري هي
+
+448
+00:35:34,700 --> 00:35:39,680
+المحاور التقليدية ال X و ال Y مافيش داعي أني أغير
+
+449
+00:35:43,660 --> 00:35:48,780
+تمام؟ وبالتالي صار في عندي الحركة المعروفة
+
+450
+00:35:48,780 --> 00:35:54,360
+والمتوقعة أن M1 moving down and M2 must move up
+
+451
+00:35:54,360 --> 00:36:00,720
+يلّا مع بعض خلّينا نصم ل free body diagram ل M1
+
+452
+00:36:00,720 --> 00:36:05,920
+توا حكينا أول حاجة نبدأها بدون تفكير و بدون قراعة
+
+453
+00:36:05,920 --> 00:36:11,830
+لأي معطيات هي وزن الجسمأموال الهوزن في قوة
+
+454
+00:36:11,830 --> 00:36:16,070
+للجاذبية عليها، إذا في قوة تؤثر عليها من تأثير
+
+455
+00:36:16,070 --> 00:36:19,650
+الجاذبية الأرضية، هذا اللي بنسميه الوزن، دائما
+
+456
+00:36:19,650 --> 00:36:24,910
+يكون اتجاهه عمودي إلى أسفل، إذا في عند أموال حد في
+
+457
+00:36:24,910 --> 00:36:30,680
+Gالإيش فيه كيمان بيأثر عليها زي ما انتوا شايفين M
+
+458
+00:36:30,680 --> 00:36:34,880
+is not free مربوطة
+
+459
+00:36:34,880 --> 00:36:40,670
+بحبل وهو هذا الحبل معناته بيأثر عليها بقوةبعيق
+
+460
+00:36:40,670 --> 00:36:45,710
+حركتها بمعنى آخر الحبل القوة اللي بيأثر فيها على
+
+461
+00:36:45,710 --> 00:36:49,510
+الجسم بيسميها الشد في الحبل إذا أنا في عندي شدة
+
+462
+00:36:49,510 --> 00:36:54,790
+بيأثر على الجسم باتجاه الأعلى دائما الشد بيكون مع
+
+463
+00:36:54,790 --> 00:36:59,950
+الحبل وباتجاه مخططالتثبيت يعني احنا نبقى واضح ان
+
+464
+00:36:59,950 --> 00:37:03,110
+الحبل مربوط بنقطة ثابتة وهي البكرة فبيكون باتجاه
+
+465
+00:37:03,110 --> 00:37:09,210
+البكرة ففي عندى two forces M1G و M1T طبعا واضح ان
+
+466
+00:37:09,210 --> 00:37:14,270
+M1 مش محطوطة على السطح عشان اقول وين تأثير قوة
+
+467
+00:37:14,270 --> 00:37:18,740
+السطح عليها هي معلجة في الهواء بس ربطها الحبلالحبل
+
+468
+00:37:18,740 --> 00:37:22,440
+حطيت قوته، والوزن حطيت قوته، بعد كده مافيش أي
+
+469
+00:37:22,440 --> 00:37:26,660
+تأثير لأي قوة أخرى، لا في عندي M ولا في عندي
+
+470
+00:37:26,660 --> 00:37:30,120
+friction ولا في عندي أي قوة أخرى ولا واحد جذجها
+
+471
+00:37:30,120 --> 00:37:34,040
+ولا واحد مسكها إطلاقا، إذا في عندي just two forces
+
+472
+00:37:34,040 --> 00:37:38,420
+acting on the body The same for M2، نفس العمل اللي
+
+473
+00:37:38,420 --> 00:37:43,840
+M2، فكر فيها، وزن فيههل تغير تأثير الوزن كاتجاه؟
+
+474
+00:37:43,840 --> 00:37:49,640
+لأ، إذا M2G بس الوزن بيساوي كتلة في التسارعلأ أسفل
+
+475
+00:37:49,640 --> 00:37:53,900
+لأ أسفل بغضب نظر الجسم وين بيطلع الآن مربوطة الحبل
+
+476
+00:37:53,900 --> 00:37:58,360
+مربوطة الحبل و بنفس الـ fixed point إذا في عندي
+
+477
+00:37:58,360 --> 00:38:02,540
+برضه شد الأعلى إذا نفس الـ free body diagram
+
+478
+00:38:02,540 --> 00:38:07,460
+تقريبا مع الاختلاف الوحيد في الوزن لأن هذه M1G
+
+479
+00:38:07,460 --> 00:38:12,980
+وهذه M2G حسب الكتل الموجودة إذا عندي الآنtwo free
+
+480
+00:38:12,980 --> 00:38:19,260
+body diagrams مافيش اي قوة اخرى انا تجهلتها او اني
+
+481
+00:38:19,260 --> 00:38:25,300
+انسيتها الان ال axis تبعتي هي التقليدية أفقية
+
+482
+00:38:25,300 --> 00:38:32,360
+سينية و صادية هي العموديةالقوة اللي موجودة فقط قوة
+
+483
+00:38:32,360 --> 00:38:37,880
+عمودية وبالتالي مش عندي إلا الشق الصاضي من قانون
+
+484
+00:38:37,880 --> 00:38:41,500
+النيوتن التاني هو اللي بدي أطبقه طبعا أنا عندي
+
+485
+00:38:42,420 --> 00:38:46,700
+مجهولين بلزمني معادلتين جبريا لأنه بده ال
+
+486
+00:38:46,700 --> 00:38:50,320
+acceleration و بده الشد اللي هو T بده ال
+
+487
+00:38:50,320 --> 00:38:54,480
+acceleration و ال tension عند two unknown
+
+488
+00:38:54,480 --> 00:39:00,400
+quantities بالتالي لابد أن يوجد عند two equations
+
+489
+00:39:00,400 --> 00:39:06,400
+عشان أحل هذه المعادلتين و أجيب المجهولين طبعا واضح
+
+490
+00:39:06,850 --> 00:39:10,410
+عندي شق واحد بس من قانون نيوتن الأول و هو الصادق
+
+491
+00:39:10,410 --> 00:39:15,770
+ولكن ننساش أنه عندي two blocks لكل block بديها
+
+492
+00:39:15,770 --> 00:39:21,430
+معادلة فبتطلع عندي two equations يلّا نبدأ في
+
+493
+00:39:21,430 --> 00:39:24,270
+المعادلة الأولى و كتبلي taking the positive sense
+
+494
+00:39:24,270 --> 00:39:28,750
+to be downward إذا أنا المحور الآن تبعي بدي أخده
+
+495
+00:39:28,750 --> 00:39:33,470
+ال positive heap هذا هو ال positive Y كل قوة إلى
+
+496
+00:39:33,470 --> 00:39:41,410
+أسفلهي عبارة عنPositive وبالتالي الـ Negative هو
+
+497
+00:39:41,410 --> 00:39:47,310
+اللي بيكون القوة اللي لأعلى فلو أجيب تطبقنا مجموعة
+
+498
+00:39:47,310 --> 00:39:52,650
+القوة الصادرية بساوي M E Y وبيدنا نطبق for M 1
+
+499
+00:39:52,650 --> 00:39:57,870
+بتطلع فقط على M 1 ماليش جعب على M 2 at all فقط
+
+500
+00:39:57,870 --> 00:40:01,710
+بتطلع على M 1 وماليش جعب حتى بالرسمة الأصلية أنا
+
+501
+00:40:01,710 --> 00:40:04,790
+برسم لـ Free Body Diagram عشان يساعدني على حل
+
+502
+00:40:04,790 --> 00:40:12,680
+المسألةبقى أقول هاي ام وان تمام؟أخد الموجب لأسفل
+
+503
+00:40:12,680 --> 00:40:19,740
+معناته هذه موجبة وهذه سالبة فبقول M1G minus T M1G
+
+504
+00:40:19,740 --> 00:40:23,060
+minus T عندي قوتين واحدة لأسفل واحدة لأعلى اذا
+
+505
+00:40:23,060 --> 00:40:27,740
+واحدة موجبة واحدة سالبة بساوي M1 في ال A وعندي نفس
+
+506
+00:40:27,740 --> 00:40:34,980
+الشيء ل M2 M2G minus T بساوي M2A بالسالب هذا
+
+507
+00:40:34,980 --> 00:40:41,730
+السالب انحط عشان الجسم M2 is moving upبطلع لفوق و
+
+508
+00:40:41,730 --> 00:40:46,710
+احنا متفقين كل حاجة لفوق بدها تكون سالبة عند
+
+509
+00:40:46,710 --> 00:40:53,950
+معادلتين جبريتين بمجهولين سهل ان احلهم و اطلع ال
+
+510
+00:40:53,950 --> 00:40:57,330
+two unknowns لو انا طبعا هذه سالبة since M2 is
+
+511
+00:40:57,330 --> 00:41:03,790
+going upward زي ما انا حكيتلو انا جيت طرحت ال two
+
+512
+00:41:03,790 --> 00:41:06,970
+equations subtracting the two equations ال tension
+
+513
+00:41:06,970 --> 00:41:11,630
+will cancel out and we get subtracting the two
+
+514
+00:41:11,630 --> 00:41:16,510
+equations we have E equal M1 minus M2 على M1 زائد
+
+515
+00:41:16,510 --> 00:41:21,350
+M2 في G و طبعا من هذه المعادلة واضح جدا انه لو M1
+
+516
+00:41:21,350 --> 00:41:25,190
+بيسوي M2 بصي في عندي balance و بالتالي سيء ال
+
+517
+00:41:25,190 --> 00:41:30,270
+acceleration بتسوي Zero زي ما كنا عارفينبنجيب T
+
+518
+00:41:30,270 --> 00:41:35,210
+بنعوض في أحد المعادلات السابقين و بنجيب T و تمام
+
+519
+00:41:35,210 --> 00:41:42,810
+sorry هذه T اذا T equal 2 M1 M2 over M1 plus M2 في
+
+520
+00:41:42,810 --> 00:41:47,670
+الـ G اذا هكذا بيكون حلنا المسألة بدون اي اشكالية
+
+521
+00:41:47,670 --> 00:41:53,610
+بس مجرد جيبنا ال free body D-Gram كمان مثال في هذه
+
+522
+00:41:53,610 --> 00:41:59,820
+المحاضرةان شاء الله وبعد كده بنكمل في المحاضرة
+
+523
+00:41:59,820 --> 00:42:05,180
+اللاحقة هذا المثال بيقول two blocks are in contact
+
+524
+00:42:05,180 --> 00:42:10,240
+on a smooth horizontal table تمام في عندي two
+
+525
+00:42:10,240 --> 00:42:14,680
+blocks بيمسوا بعض ملزقين بعض في عندي force is
+
+526
+00:42:14,680 --> 00:42:17,840
+applied to one of the blocks as shownFind the
+
+527
+00:42:17,840 --> 00:42:20,820
+acceleration of the system وبدّوا ال contact force
+
+528
+00:42:20,820 --> 00:42:24,200
+between them هاي برضه smooth table وعندي two
+
+529
+00:42:24,200 --> 00:42:29,880
+blocks هدول contact each other في عندي contact
+
+530
+00:42:29,880 --> 00:42:36,680
+between M2 and M1 حلو إيش بقوللي؟ في عندي force
+
+531
+00:42:36,680 --> 00:42:44,900
+أثرت على M1ماذا سيحدث في M1؟ ستتأثر الـ F و تدفع
+
+532
+00:42:44,900 --> 00:42:51,640
+الى اليسار باتجاه الـ M نريد الاكسليرات الخاصة
+
+533
+00:42:51,640 --> 00:42:57,520
+بالسيستم الـ M2 ستتحرك مع M1 باستخدام الاكسليرات
+
+534
+00:42:57,520 --> 00:42:59,520
+الخاصة بالسيستم و بالطبع يجب أن يكون وجود قوة
+
+535
+00:42:59,520 --> 00:43:01,700
+التواصل بين الاتجارين
+
+536
+00:43:05,960 --> 00:43:11,540
+لنحل هذا المشكلة هذه المشكلة شوية مرات تعتبر من
+
+537
+00:43:11,540 --> 00:43:15,760
+الأسئلة المتوسطة اللي كتير طلبة بيخربطوا فيها زي
+
+538
+00:43:15,760 --> 00:43:19,380
+ما احنا حكينا اذا قدرت انا افككها و ارسم ال free
+
+539
+00:43:19,380 --> 00:43:23,160
+body diagrams صح بكل المفاهيم اللي احنا فهمناها
+
+540
+00:43:23,160 --> 00:43:29,220
+بيكون السؤال جبريا سهل و مجرد كالامثلة السابقة
+
+541
+00:43:29,220 --> 00:43:35,320
+يللا نبدأ باننا نرسم ال free body diagramsتمام M1
+
+542
+00:43:35,320 --> 00:43:43,200
+كمان مرة وزنها M1G الان M1 محتوطة على سطح إذا
+
+543
+00:43:43,200 --> 00:43:49,530
+تأثير السطح عليها زي ما اتفقنا هو إماكلمة N هي من
+
+544
+00:43:49,530 --> 00:43:53,210
+كلمة Normal to the surface وهذه ليش هي القوة
+
+545
+00:43:53,210 --> 00:43:57,070
+الوحيدة عشان اللي مستطيع M less وبالتالي هذه N1 is
+
+546
+00:43:57,070 --> 00:44:00,610
+the normal force acting by the surface on M1
+
+547
+00:44:00,610 --> 00:44:06,690
+وطبعاً في عندي القفل مؤثرة من الخارج ومعطية من ضمن
+
+548
+00:44:06,690 --> 00:44:14,030
+المثال تمام هل هذا بكفي؟طبعاً بكفيش لأنه لو كانت
+
+549
+00:44:14,030 --> 00:44:20,370
+M2 مش موجودة M1 تتحرك بسهولة أكتر هذا يعني أن M2
+
+550
+00:44:20,370 --> 00:44:26,850
+تعيق M1 تعيقها معناته بتأثر عليها بقوة عكس حركتها
+
+551
+00:44:27,310 --> 00:44:33,970
+هذه القوة هو تأثير M2 على M1 القوة اللي بدي أسميها
+
+552
+00:44:33,970 --> 00:44:39,090
+الـ contact force due to the contact between M2
+
+553
+00:44:39,090 --> 00:44:45,770
+and M1 إذا M2 أثرت على M1 بقوة وجودها إلى الأمام
+
+554
+00:44:45,770 --> 00:44:54,750
+إعاقة هذه الإعاقةترجمتها بقوة تؤثر عكس الحركة وهي
+
+555
+00:44:54,750 --> 00:45:00,360
+اللي سميتها contact forceتمام طبعا هذه ال contact
+
+556
+00:45:00,360 --> 00:45:04,580
+force انها رد فعل لأن كل فعل رد فعل مساوي له في
+
+557
+00:45:04,580 --> 00:45:08,180
+المخضرب و مضاد له في الاتجاه ولكن وين بيأثر على M2
+
+558
+00:45:08,180 --> 00:45:12,820
+عندنا لو نرسم M2 بدنا نتذكرها تمام نيجي M2 كمان
+
+559
+00:45:12,820 --> 00:45:18,080
+مرة وازن وازن M2G مافيش عليه خلاف دائما إلى الأسفل
+
+560
+00:45:18,080 --> 00:45:23,930
+و دائما عمودي و عمروش بيكون ملغيهل M2 موجودة على
+
+561
+00:45:23,930 --> 00:45:28,130
+سطح؟ موجودة على سطح إذن في عندي N و بدي أسميه N2
+
+562
+00:45:28,130 --> 00:45:34,910
+طبعا N1 غير عن N2 لأنه الطاولة بتأثر على جسم خفيف
+
+563
+00:45:34,910 --> 00:45:38,290
+غير لما بتأثر على جسم كبير لأنه بالقصد الجسم
+
+564
+00:45:38,290 --> 00:45:41,650
+الخفيف بيأثر على الطاولة بقوة غير على الجسم اللي
+
+565
+00:45:41,650 --> 00:45:45,950
+تجيه وبالتالي الطاولة هترد الفعل حسب قوانين تنتلج
+
+566
+00:45:45,950 --> 00:45:50,790
+بقوة متساوية فحسب الكتلة وبالتالي أنا قولت N1 غير
+
+567
+00:45:50,790 --> 00:45:57,360
+عن N2لأن هذه تأثير السطح على M1 و M2 تأثير السطح
+
+568
+00:45:57,360 --> 00:46:01,500
+على M2 وبالتالي يجب أن نختار بين الاتجاهين
+
+569
+00:46:01,500 --> 00:46:01,680
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+570
+00:46:01,680 --> 00:46:02,020
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+571
+00:46:02,020 --> 00:46:03,880
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+572
+00:46:03,880 --> 00:46:05,120
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+573
+00:46:05,120 --> 00:46:05,620
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+574
+00:46:05,620 --> 00:46:06,260
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+575
+00:46:06,260 --> 00:46:09,100
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+576
+00:46:09,100 --> 00:46:10,680
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+577
+00:46:10,680 --> 00:46:13,080
+الموجودة بين الاتجاهين الموجودة بين الاتجاهين
+
+578
+00:46:14,480 --> 00:46:19,760
+بالقطع لأ إذا معناته مين هو اللي خلها تتحرر نتيجة
+
+579
+00:46:19,760 --> 00:46:26,380
+ال contact between M1 and M2 بلغة القوة بيقول لهذه
+
+580
+00:46:26,380 --> 00:46:33,180
+هي قوة M1 على M2 sorry M2 على M1 ال Newton التالت
+
+581
+00:46:33,180 --> 00:46:40,700
+بيقول إذا لابد ان M1تؤثر على M2 بنفس القوة مقدارا
+
+582
+00:46:40,700 --> 00:46:46,160
+ولكن عكسها اتجاها فيندي اذا معناته FC وهدول
+
+583
+00:46:46,160 --> 00:46:51,650
+القوتيناللي احنا شايفينهم هم الـ Action and the
+
+584
+00:46:51,650 --> 00:46:55,670
+Reaction Forces Action and the Reaction Forces وزي
+
+585
+00:46:55,670 --> 00:46:58,930
+ما انتوا شايفين واحدة بتأثر على M1 وواحدة بتأثر
+
+586
+00:46:58,930 --> 00:47:04,050
+على M2 ولمّا نطبق قانون نيوتن M على M1 وعلى M2 No
+
+587
+00:47:04,050 --> 00:47:07,730
+way القوتين ييجوا في نفس المعاجلة ويلغوا بعض أصلا
+
+588
+00:47:08,260 --> 00:47:11,120
+تمام، إذا تلاحظوا أن الـFC يمثل القوة التواصلية
+
+589
+00:47:11,120 --> 00:47:15,560
+بسبب التواصل بين الاثنين المجلدين، فهي قوة إدارة و
+
+590
+00:47:15,560 --> 00:47:19,640
+إدارة إدارة، خلصت الـfree body diagrams، انتهى،
+
+591
+00:47:19,640 --> 00:47:23,060
+وبالتالي الآن بدي أطبق قوانين الـNewton تبعتي،
+
+592
+00:47:23,060 --> 00:47:25,940
+باتجاه الصيني لأنهم يريدون الـacceleration ويريدون
+
+593
+00:47:25,940 --> 00:47:29,160
+قوة التواصل الصينية، وبالتالي بدي أطبق قوانين
+
+594
+00:47:29,160 --> 00:47:32,910
+الـNewton التاني مرتين، مرة على M1 ومرة على M2تجاه
+
+595
+00:47:32,910 --> 00:47:37,610
+الصيني القوة كلها اما صينية او صادية لانه انا
+
+596
+00:47:37,610 --> 00:47:42,710
+المحور تبعي هاخده بهذا الشكل هي X وهي Y طبعا تجاه
+
+597
+00:47:42,710 --> 00:47:46,470
+ال X اخدته هيك لان هو تجاه ال acceleration فافضلي
+
+598
+00:47:46,470 --> 00:47:49,590
+اخده ك positive لو اخدته بالتجاه المعاكس مافيش
+
+599
+00:47:49,590 --> 00:47:54,290
+عندي اي اشكالية بالتالي القانون اللي بدي اطبقه the
+
+600
+00:47:54,290 --> 00:47:57,070
+x component of the forces the sum of the x
+
+601
+00:47:57,070 --> 00:48:00,050
+components of the forces must equal to M
+
+602
+00:48:00,050 --> 00:48:05,720
+multiplied by the accelerationبالنسبة لـ M1 عندي
+
+603
+00:48:05,720 --> 00:48:11,700
+قوتين سنيات واحدة موجبة باتجاه الـ positive x-axis
+
+604
+00:48:11,700 --> 00:48:16,480
+و واحدة سالبة و هي Fc باتجاه الـ negative x-axis
+
+605
+00:48:16,480 --> 00:48:20,840
+الـ axis اللي أنا استخدمتها فF minus Fc بسوء M1A
+
+606
+00:48:20,840 --> 00:48:26,580
+بالنسبة للقوة التانية في عندي فقطقوة واحدة سينية
+
+607
+00:48:26,580 --> 00:48:31,660
+وبالتالي بقول Fc بسوء M2A زي ما انتوا شايفين
+
+608
+00:48:31,660 --> 00:48:36,680
+acceleration و Fc مجهولين بدي معادلتين هي معادلة
+
+609
+00:48:36,680 --> 00:48:41,540
+هي معادلتين إذا جبريا أنا خلصت الآن أي طالب أخد
+
+610
+00:48:41,540 --> 00:48:44,920
+جبر في الإبتدائية أو في بداية الإعدادية بيقدر
+
+611
+00:48:44,920 --> 00:48:49,740
+أحلها كذا مسألة يجمع ويطرح عشان يطلع المجاهيل واضح
+
+612
+00:48:49,740 --> 00:48:52,710
+لو جمعنا ال two equationsبنطلع الـ acceleration
+
+613
+00:48:52,710 --> 00:48:56,430
+إذا بيقوللي adding the two equations we have F
+
+614
+00:48:56,430 --> 00:48:59,250
+equal the sum of the two masses multiplied by the
+
+615
+00:48:59,250 --> 00:49:03,570
+acceleration so the acceleration equal F over M1
+
+616
+00:49:03,570 --> 00:49:08,330
+plus M2 عوض بالـ acceleration في المعادلة التانية
+
+617
+00:49:08,330 --> 00:49:16,520
+بتطلع عندى Fc equal M2 F على M1 زائد M2 تمامنجف
+
+618
+00:49:16,520 --> 00:49:20,320
+عندها اليوم و بنكمل ان شاء الله ما تبقى من ال
+
+619
+00:49:20,320 --> 00:49:25,540
+chapter في المحاضرات السابقة ال chapter لسه في
+
+620
+00:49:25,540 --> 00:49:30,260
+بدايته و هياخد معانا شوية وجد و نخلص لعندينا و ان
+
+621
+00:49:30,260 --> 00:49:30,700
+شاء الله بنكمل
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/bmssLScx6FA.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/bmssLScx6FA.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e3191ba802dff04cc3d302528d7738c9860ec6f5
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/bmssLScx6FA.srt
@@ -0,0 +1,1585 @@
+1
+00:00:20,970 --> 00:00:25,710
+نستكمل ما تبقى من الـ chapter الذي كان عنوانه work
+
+2
+00:00:25,710 --> 00:00:31,090
+and energy. طلعنا الـ work for a constant force بعد
+
+3
+00:00:31,090 --> 00:00:35,790
+كده الـ work for a varying force وكان كمثال على
+
+4
+00:00:35,790 --> 00:00:42,250
+القوة المتغيرة هو spring force وطلعنا أن work of
+
+5
+00:00:42,250 --> 00:00:48,940
+spring equal half Kx initial square minus x final
+
+6
+00:00:48,940 --> 00:00:53,300
+square. واتفقنا أن الـ work تبع الـ spring ممكن يكون
+
+7
+00:00:53,300 --> 00:00:58,140
+positive ممكن يكون negative. بيعتمد على القوة و
+
+8
+00:00:58,140 --> 00:01:01,540
+اتجاه القوة أو أنه رايح لـ equilibrium position أو
+
+9
+00:01:01,540 --> 00:01:05,400
+مبتعد من الـ equilibrium position. إذا الجسم مبتعد
+
+10
+00:01:05,400 --> 00:01:08,600
+عن الـ equilibrium position بتكون القوة والإزاحة
+
+11
+00:01:08,600 --> 00:01:12,140
+عكس بعض وبالتالي الـ work بيكون negative. أما إذا
+
+12
+00:01:12,140 --> 00:01:15,960
+كان الجسم رايح على equilibrium position بتكون الـ
+
+13
+00:01:15,960 --> 00:01:20,120
+force و الـ displacement parallel وبالتالي بيكون الـ
+
+14
+00:01:20,120 --> 00:01:24,060
+work positive. خلّيني نشوف هالمثال، بقولي a block is
+
+15
+00:01:24,060 --> 00:01:28,510
+tied to a spring. عندي block مربوط بزنبرك with force
+
+16
+00:01:28,510 --> 00:01:33,510
+constant of 80N per meter. كي تبعتي الزنبرك هذه
+
+17
+00:01:33,510 --> 00:01:39,410
+احنا اتفقنا أن F للزنبرك سواء minus K X هذه ثابت
+
+18
+00:01:39,410 --> 00:01:44,430
+الزنبرك واحدة نيوتن على متر، تمام؟ فالواحدة تبعت 80
+
+19
+00:01:44,430 --> 00:01:49,110
+نيوتن per meter. شلون الـ spring is compressed a
+
+20
+00:01:49,110 --> 00:01:51,190
+distance of three centimeters from equilibrium
+
+21
+00:01:51,190 --> 00:01:55,370
+position. إذا أنا عندي الزنبرك تبعي انضغط مسافة
+
+22
+00:01:55,370 --> 00:01:59,260
+مقدرها تلاتة سنتيمتر طبعًا .. بدّو calculate the
+
+23
+00:01:59,260 --> 00:02:03,140
+work done by the spring. بدّو شغل الزنبرك as the
+
+24
+00:02:03,140 --> 00:02:06,480
+block moves from its equilibrium position to its
+
+25
+00:02:06,480 --> 00:02:10,880
+compressed position. وانت بتضغط فيه جديش الشغل اللي
+
+26
+00:02:10,880 --> 00:02:15,180
+بدلو الزنبرك؟ بي calculate the work done by the
+
+27
+00:02:15,180 --> 00:02:19,860
+spring. جيب إيدك الآن .. إيش بتصيف الكتلة؟ بترجع ..
+
+28
+00:02:19,860 --> 00:02:24,100
+و هي راجعة جديش شغل الزنبرك .. طبعا .. إيه .. حلو
+
+29
+00:02:25,560 --> 00:02:30,420
+هذا الزنبرك تبعي وهذا الـ equilibrium position
+
+30
+00:02:30,420 --> 00:02:37,100
+هذا وضعه هو لا هو مضغوط ولا هو ممدود، تمام؟ .. الآن
+
+31
+00:02:37,100 --> 00:02:43,170
+.. أريد أن يحصل هكذا جديش المسافة اللي انضغطها
+
+32
+00:02:43,170 --> 00:02:48,910
+تلاتة سنتيمتر حسب الكلام، تلاتة سنتيمتر تقول
+
+33
+00:02:48,910 --> 00:02:54,010
+calculate the work done by the spring as the block
+
+34
+00:02:54,010 --> 00:02:57,370
+moves from its equilibrium position to its
+
+35
+00:02:57,370 --> 00:03:06,460
+compressed position. حلو قانوني هي نص K 80 X
+
+36
+00:03:06,460 --> 00:03:08,880
+initial و X final. شايفين X initial وين كانت وين
+
+37
+00:03:08,880 --> 00:03:14,680
+صارت؟ ماجدش X initial و X final تلاتة بالسالب صحيح
+
+38
+00:03:14,680 --> 00:03:20,080
+ولا لأ؟ يعني سالب تلاتة بوضعها، بقولوا الـ block
+
+39
+00:03:20,080 --> 00:03:29,240
+was at its أحكيه إيش ولا ليش؟
+
+40
+00:03:29,240 --> 00:03:33,040
+أول
+
+41
+00:03:33,040 --> 00:03:37,460
+سؤال اللي ما سمعتهوش. ثاني سؤال اللي سمعته لـ Sia
+
+42
+00:03:37,460 --> 00:03:42,820
+لجيتيها؟
+
+43
+00:03:42,820 --> 00:03:47,280
+طيب، هل جيت أنت شايفة الـ X تبعتك؟ ال .. ال .. ال
+
+44
+00:03:47,280 --> 00:03:54,880
+origin؟ طيب، عيمينك مودة وعشمالك؟ بديك هذاك
+
+45
+00:03:54,880 --> 00:03:58,020
+المودة، بناخده المودة، بتفرج إيه معانا؟ هذا
+
+46
+00:03:58,020 --> 00:04:00,360
+بالتجاه المودة بالـ default. مش احنا بنعمل X Axis
+
+47
+00:04:00,360 --> 00:04:05,790
+هيك هجيت أحط هنا، تلاقيته هنا؟ مشاكل بعمل؟ وهي ال
+
+48
+00:04:05,790 --> 00:04:10,890
+origin؟ إذا اللي عليها مين الـ origin؟ نجدها غيرها
+
+49
+00:04:10,890 --> 00:04:15,610
+تمام. بيقولي the block was at its equilibrium
+
+50
+00:04:15,610 --> 00:04:20,470
+position. يعني بدأ من هناك x initial كان صفر تمام
+
+51
+00:04:20,470 --> 00:04:24,490
+and moves to a final position x final بنسبوه minus
+
+52
+00:04:24,490 --> 00:04:28,970
+three centimeter. إذا بيقولي اطبق على القانون صار
+
+53
+00:04:31,030 --> 00:04:37,890
+هذه هي الرقم الخاصة به، قانوني حقيته 80 على 2
+
+54
+00:04:43,230 --> 00:04:47,290
+فروح السالب اليها هذه 3×10 أو السالب 2 عشان أحولها
+
+55
+00:04:47,290 --> 00:04:53,030
+لـ متر 3×10 أو السالب 2 ربعوها صارت 9×10 أو السالب 4
+
+56
+00:04:53,030 --> 00:05:00,990
+طبعًا بعد كده Calculator فطلع الـ work minus 3.6¹-2
+
+57
+00:05:00,990 --> 00:05:09,730
+يول في أي استفسار؟ تمام يا بنات إذا سؤال سهل روتيني
+
+58
+00:05:09,730 --> 00:05:13,730
+مافيهوش أي trick. الآن بيقولي هاي هنا صح .. بدي
+
+59
+00:05:13,730 --> 00:05:19,950
+أرجعه .. بدي أرجعه لـ initial position هي هذه و الـ
+
+60
+00:05:19,950 --> 00:05:24,310
+final position هي الـ zero تمام؟ إذا بيقولي الآن ده
+
+61
+00:05:24,310 --> 00:05:31,450
+هو في P هاي مانا تلاتة سنتيمتر .. الآن بدي أرجعه ..
+
+62
+00:05:31,450 --> 00:05:36,840
+هاي ورجع X initial هي الـ final صارت 0 مظبوط ولا
+
+63
+00:05:36,840 --> 00:05:40,560
+لأ؟ بالتالي الـ now X initial هي السالبة التلاتة
+
+64
+00:05:40,560 --> 00:05:44,160
+يعني هو يقول لي وين كان ووين صار، عملية سهلة و وين
+
+65
+00:05:44,160 --> 00:05:47,160
+كان ووين صار؟ هو بيقول لي في السؤال بدي يا من وين
+
+66
+00:05:47,160 --> 00:05:50,600
+لوين؟ في أثناء .. و أنا قاعد بشتغل بقول وين الـ X
+
+67
+00:05:50,600 --> 00:05:54,040
+initial و X final. X initial equal minus three
+
+68
+00:05:54,040 --> 00:05:57,340
+centimeters and moves to a final position اللي هو
+
+69
+00:05:57,340 --> 00:06:01,620
+الـ equilibrium position اللي هي X final equal to
+
+70
+00:06:01,620 --> 00:06:08,160
+zero. قل لي رجع لقانونة نص K X initial نقص X final
+
+71
+00:06:08,160 --> 00:06:13,100
+تربيع الـ X initial تلاتة بالسالب ربعها صارت تلاتة
+
+72
+00:06:13,100 --> 00:06:17,040
+في عشر عقل السالب أربعة، طولها زي هذه بسم الموجب صح
+
+73
+00:06:17,040 --> 00:06:23,080
+ولا لأ؟ احكي الحين في الحالة الأولى الحين الزنبرك
+
+74
+00:06:23,080 --> 00:06:27,340
+هو نضغط صح؟ انضغط .. اه .. اه بالنسبة للشغل يعني
+
+75
+00:06:27,340 --> 00:06:30,560
+أنت بتقول أن .. مش عارف .. مش فاهمهها هذه .. شيء
+
+76
+00:06:30,560 --> 00:06:32,780
+مش فاهمهها .. ماكملتيش .. ماكملتيت .. كانت الشغل
+
+77
+00:06:32,780 --> 00:06:38,140
+هاد أن الزنبرك هو إله شغل هنا .. اه .. هو ..
+
+78
+00:06:38,140 --> 00:06:41,740
+كذلك يعني .. صورة شغله يعني .. الزنبرك .. قوة
+
+79
+00:06:41,740 --> 00:06:45,080
+الزنبرك هي اللي بتعمل شغل .. حاجات و أنت .. و أنت
+
+80
+00:06:45,080 --> 00:06:48,720
+ماشية .. دقطة .. اه .. بتضغطيه براحتك بدون أي عقب
+
+81
+00:06:48,720 --> 00:06:51,940
+.. لأ .. يعني الزنبرك فيه قوة بيأثر عليكي .. اه
+
+82
+00:06:51,940 --> 00:06:57,320
+.. طيب الشغل بيساوي القوة .. في الإزاحة بالتكامل
+
+83
+00:06:57,320 --> 00:07:00,240
+تبعنا، مظبوط ولا لا؟ إذا الزنبرك وانت قاعد
+
+84
+00:07:00,240 --> 00:07:05,920
+بتمشيه، قاعد بيبذل ضدك work، احسبيه، حاسبته، تلاقي
+
+85
+00:07:05,920 --> 00:07:09,680
+سالب، إذا إيش اللي فيه المشكلة عندك؟ بالظبط زي ما
+
+86
+00:07:09,680 --> 00:07:13,880
+بترفع الجلم هذا لفوق، بترفعيه بسهولة ولا أنت ضد
+
+87
+00:07:13,880 --> 00:07:19,440
+الجاذبية؟ فانت وانت مطلعا، الجاذبية بتعمل شغل،
+
+88
+00:07:20,300 --> 00:07:23,640
+الشغل الجاذبي بطلع سالب زي ما الزنبركينه طلع
+
+89
+00:07:23,640 --> 00:07:26,860
+سالب .. الآن بدي أرجعه للجلم .. هذه بالظبط زي هي
+
+90
+00:07:26,860 --> 00:07:31,580
+.. بدي أرجعه .. الشغل بتعمل نفس الشغل بس بالموجب
+
+91
+00:07:31,580 --> 00:07:36,460
+.. صحيح ولا لأ؟ طيب سؤالي الآن .. هاي القانون أثار
+
+92
+00:07:36,460 --> 00:07:39,460
+المفقول دائمًا .. هو في الآخر إيش عمل؟ كان في الـ
+
+93
+00:07:39,460 --> 00:07:42,300
+equilibrium position .. انضغط وبعدين رجع .. صح؟
+
+94
+00:07:42,300 --> 00:07:47,250
+بدي أقول .. في الأول كان وين؟ أول أول حاجة .. كان
+
+95
+00:07:47,250 --> 00:07:50,150
+في الـ Equilibrium Position وفي الأخر بعد هذا
+
+96
+00:07:50,150 --> 00:07:55,050
+الفرق، أين راح؟ لو بدي أجيب الـ work من أول حركة
+
+97
+00:07:55,050 --> 00:07:58,690
+لأخرها، مش أجسمها، جديش الـ initial؟ صفر و الـ
+
+98
+00:07:58,690 --> 00:08:03,050
+final؟ صفر، طيب هنا أنا جسمتها، لكن لو جمعتهم؟
+
+99
+00:08:03,050 --> 00:08:09,090
+ستطلع صفر، مظبوط أو لا؟ أخد وطلع، زي هذا الجلم،
+
+100
+00:08:09,090 --> 00:08:14,520
+بدي أرفعه وأرجعه بدي أرفعه وأعود أرجعه جديش X
+
+101
+00:08:14,520 --> 00:08:19,280
+initial هيها و X final هيها. X initial نقص X final
+
+102
+00:08:19,280 --> 00:08:23,940
+صفر وبالتالي الـ total work is zero لأن X initial
+
+103
+00:08:23,940 --> 00:08:32,040
+equal X final. بعتمد بس على بداية ونهاية. خلصنا من
+
+104
+00:08:32,040 --> 00:08:36,740
+شغلة اسمها الـ work. الـ work قوة في إزاحة لما تكون
+
+105
+00:08:36,740 --> 00:08:41,120
+القوة متغيرة وأخدنا مثال الزنبرك، قرأت الـ work
+
+106
+00:08:41,120 --> 00:08:46,780
+بيساوي half K X تربيع، نص K X تربيع، بقول إن أنا بدي
+
+107
+00:08:46,780 --> 00:08:52,320
+أربطها بكمية ثانية kinetic energy, work kinetic
+
+108
+00:08:52,320 --> 00:08:57,000
+energy theorem, kinetic energy طاقة الحركة سمعتوا
+
+109
+00:08:57,000 --> 00:09:07,560
+فيها؟ إيش بتساوي؟ نص كاف يعني نص M V تربيع
+
+110
+00:09:07,560 --> 00:09:12,740
+Energy. إيش وحدتها؟ جول والـ work إيش وحدته؟ جول
+
+111
+00:09:12,740 --> 00:09:16,500
+إذا لابد أن يكون بينهم علاقة، صح ولا لا؟ بدنا نشتق
+
+112
+00:09:16,500 --> 00:09:20,710
+احنا وياكم هذه العلاقة، تمام؟ بيقول لي let us
+
+113
+00:09:20,710 --> 00:09:23,810
+consider that the net force acting on an object
+
+114
+00:09:23,810 --> 00:09:28,950
+بيقول لي عشان أشتق بسهولة خلي القوة باتجاه واحد،
+
+115
+00:09:28,950 --> 00:09:32,850
+باتجاه الـ X-axis، تمام؟ باتجاه معين وهذا الاتجاه
+
+116
+00:09:32,850 --> 00:09:36,850
+أخدته X-axis is in the X-direction then we write
+
+117
+00:09:36,850 --> 00:09:41,810
+الـ work بيساوي Fx dx صحيح ولا لا؟ هذا كتابته لما
+
+118
+00:09:41,810 --> 00:09:45,810
+عملتي الزنبرك، نفس القوة. طيب الـ Newton الثاني
+
+119
+00:09:45,810 --> 00:09:52,180
+أخدتوه؟ إيش بيقول Fx بيساوي Max؟ مظبوط ولا لأ؟ جالي
+
+120
+00:09:52,180 --> 00:10:00,440
+Fx بيساوي Max و بيساوي Mdv على Dt صح ولا لأ؟ تمام؟
+
+121
+00:10:00,440 --> 00:10:04,400
+فلنكتبها ونشوف إيش بيطلع معانا. بيقول using
+
+122
+00:10:04,400 --> 00:10:08,240
+newton's second law. قانون نيوتن الثاني اللي كلكم
+
+123
+00:10:08,240 --> 00:10:14,760
+بتعرفوه. جالي Fx بيساوي Max و Dv على Dt صح ولا لأ؟
+
+124
+00:10:14,760 --> 00:10:21,510
+تمام. أخدتوا الـ chain rule في الـ calculus وانتوا
+
+125
+00:10:21,510 --> 00:10:31,290
+ما أخدتوش في الشطرة الثانية طبعًا
+
+126
+00:10:31,290 --> 00:10:35,210
+بتشوفوها. ما هي chain rule ولا غيرها نفسها DV على
+
+127
+00:10:35,210 --> 00:10:40,090
+DT بيساوي DV على DX DX على DT صح ولا لا؟ خدتوها في
+
+128
+00:10:40,090 --> 00:10:46,740
+المدارس، مفروض تاخدوها جديد تستبع مجتمعات. يعني أنا
+
+129
+00:10:46,740 --> 00:10:49,660
+بقى مجرد ما أقول دي V على دي T بدي أقول دي V على
+
+130
+00:10:49,660 --> 00:10:56,380
+دي X، دي X على دي T تمام، هذه إيش هي؟ مش هال دي V
+
+131
+00:10:56,380 --> 00:11:01,360
+ولا لأ؟ فبدي أكتب هذه دي V على دي T بهذه الطريقة
+
+132
+00:11:01,360 --> 00:11:05,040
+V، دي V على دي X. واحد بيقول لي ليش بتعمل هيك؟ بدي
+
+133
+00:11:05,040 --> 00:11:09,320
+أقوله بدي أضيع حاجة، عدم شوف إيش ما نسوي تمام؟
+
+134
+00:11:09,320 --> 00:11:18,850
+عوض لي الآن بدل هذه بهذه صح ولا لأ؟ واضحة الأمور قال
+
+135
+00:11:18,850 --> 00:11:26,310
+لي إذا Fx بتساوي M VdV على dx وعوض الآن صار عندي M
+
+136
+00:11:26,310 --> 00:11:31,350
+VdV على dx وهنا VdX هذه محادرة اللي صاحب عليهم
+
+137
+00:11:31,350 --> 00:11:39,810
+صحيح؟ إيش بتصير عندي؟ VdV VdV XdX V تربيعه 2 V
+
+138
+00:11:39,810 --> 00:11:46,550
+تربيع 2 صحيح ولا لا؟ إذن هذه تكاملها V² على 2 في
+
+139
+00:11:46,550 --> 00:11:51,870
+تربيعتين من initial لـ final إيش بسوي؟ final تربيع
+
+140
+00:11:51,870 --> 00:11:57,670
+نقص initial تربيع. طلعت هيك صحيح هيك ولا لأ؟ هلجيت
+
+141
+00:11:57,670 --> 00:12:01,470
+الـ kinetic energy هذا المقدار بقدر أقول عنه الـ
+
+142
+00:12:01,470 --> 00:12:06,430
+kinetic energy finally واللي بعده كينات الـ energy
+
+143
+00:12:06,430 --> 00:12:12,430
+initially. يعني K final نقص K initial يعني Delta K
+
+144
+00:12:12,430 --> 00:12:19,530
+فبيقول لي معناته W net بيساوي K final نقص K initial
+
+145
+00:12:19,530 --> 00:12:25,490
+وبيساوي Delta K. إيش K هذه؟ الكينات الـ energy طاقة
+
+146
+00:12:25,490 --> 00:12:33,750
+الحركة with KEqual نص M V² is called the
+
+147
+00:12:33,750 --> 00:12:39,190
+kinetic energy. إيش رمزه هنا كان؟ ط .. ط .. هنا K
+
+148
+00:12:39,190 --> 00:12:44,190
+طحا .. طحا .. تمام هنا بس رمز، شايفينها؟ أسهل، هنا
+
+149
+00:12:44,190 --> 00:12:51,890
+رمزين، عندنا رمز طبعًا K من kinetic energy كي
+
+150
+00:12:51,890 --> 00:12:51,910
+..
+
+151
+00:12:55,260 --> 00:13:03,400
+يعني اتّصار يعني اتّصار
+
+152
+00:13:03,400 --> 00:13:05,100
+يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار يعني
+
+153
+00:13:05,100 --> 00:13:06,020
+اتّصار يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار
+
+154
+00:13:06,020 --> 00:13:06,340
+يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار يعني
+
+155
+00:13:06,340 --> 00:13:06,420
+اتّصار يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار
+
+156
+00:13:06,420 --> 00:13:06,460
+يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار يعني
+
+157
+00:13:06,460 --> 00:13:07,200
+اتّصار يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار
+
+158
+00:13:07,200 --> 00:13:13,520
+يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار
+
+159
+00:13:13,520 --> 00:13:20,680
+يعني اتّصار يعني اتّصار يعني اتّصار يعني اتّصار يعني
+
+160
+00:13:21,110 --> 00:13:25,730
+بيقول لي: a block of mass two kilogram moves
+
+161
+00:13:25,730 --> 00:13:30,830
+under the influence of a force. هذه الـ force F
+
+162
+00:13:30,830 --> 00:13:35,270
+equal twenty Newton والـ force نفسها makes an
+
+163
+00:13:35,270 --> 00:13:38,050
+angle of thirty seven degree above the horizontal
+
+164
+00:13:38,050 --> 00:13:42,930
+if the initial velocity is zero. بدأ من السكون مشي
+
+165
+00:13:42,930 --> 00:13:46,690
+.. مش موجود؟
+
+166
+00:13:49,960 --> 00:13:53,680
+ما هو example مكتوب عليه اه اه اه. طيب هو أنا في
+
+167
+00:13:53,680 --> 00:13:59,260
+الكتاب غير عن الشريحة تمام. find the final velocity
+
+168
+00:13:59,260 --> 00:14:03,200
+after after the block moves a distance of 4 meters.
+
+169
+00:14:03,200 --> 00:14:06,380
+بيقول لي هاي الكتلة هذه شايفينها؟ قبل كده أخدناها
+
+170
+00:14:06,380 --> 00:14:10,900
+لما جبنا الـ network تمام؟
+
+171
+00:14:10,900 --> 00:14:18,340
+بيقول لي إذا هذا بدأ من السكون والمرة هذه قلنا لكم في
+
+172
+00:14:18,3
+
+216
+00:18:05,520 --> 00:18:09,500
+طبعًا واحد ممكن يتستخدم هذا القانون ممكن بس بتجيبه
+
+217
+00:18:09,500 --> 00:18:14,140
+الـ acceleration أولًا و تشوفوا الطريقة بتطلع نفس
+
+218
+00:18:14,140 --> 00:18:20,140
+الجواب ولا لا؟ أي سؤال سهلة
+
+219
+00:18:20,140 --> 00:18:25,880
+صحيح المهم يجيب الـ double unit وبعدين معادلة
+
+220
+00:18:25,880 --> 00:18:30,540
+رياضية كمان مثال تمام هذا موجود التاني هذا موجود
+
+221
+00:18:30,540 --> 00:18:36,790
+طب الحمد لله الموضوع 2 كيلو جرام يُدفع على محطة
+
+222
+00:18:36,790 --> 00:18:38,710
+محطة محطة محطة محطة محطة محطة محطة محطة محطة محطة
+
+223
+00:18:38,710 --> 00:18:41,550
+محطة محطة محطة محطة محطة محطة محطة محطة محطة محطة
+
+224
+00:18:41,550 --> 00:18:43,170
+محطة محطة محطة محطة محطة محطة محطة محطة محطة محطة
+
+225
+00:18:43,170 --> 00:18:51,330
+محطة محطة محطة محطة محطة محطة
+
+226
+00:18:51,330 --> 00:18:58,630
+محطة محطة
+
+227
+00:18:59,310 --> 00:19:03,310
+The work done by the force F equal 20 Newton بعدين
+
+228
+00:19:03,310 --> 00:19:06,650
+The work done by friction بعدين If the mass has a
+
+229
+00:19:06,650 --> 00:19:10,810
+kinetic energy of 1.2 Joule at the beginning of
+
+230
+00:19:10,810 --> 00:19:14,670
+the displacement هذي K-initial يعني صحيح ولا لأ؟
+
+231
+00:19:14,670 --> 00:19:17,730
+بقول إذا كانت K-initial أنا مديكيها What is the
+
+232
+00:19:17,730 --> 00:19:20,050
+kinetic energy at the end of the displacement؟
+
+233
+00:19:20,050 --> 00:19:26,520
+مديكيه final Double unit سوى Delta K كينيشة
+
+234
+00:19:26,520 --> 00:19:29,840
+المعروفة ودانيها عشان اعرف كيف انا بدي double unit
+
+235
+00:19:29,840 --> 00:19:34,900
+double unit الشيء هو شغل كل القوة التي تؤثر على
+
+236
+00:19:34,900 --> 00:19:41,700
+الجسم بيقولي هاي الكتلة a mass is pushed up جاعد انا
+
+237
+00:19:41,700 --> 00:19:46,420
+بتفحى إلى اعلى إذا بعدى قوة تتفحى لفوق هذه القوة
+
+238
+00:19:46,420 --> 00:19:54,000
+عطانيها بتساوي عشرين نيوتن ده تمام الآن هذه المسافة
+
+239
+00:19:54,000 --> 00:19:58,040
+اللي مشيها دي اللي هي نص متر بيقول let us first
+
+240
+00:19:58,040 --> 00:20:00,940
+draw the free body diagram of the block بدي أشوف
+
+241
+00:20:00,940 --> 00:20:04,780
+القوة اللي بتأثر عشان أجيب الشغل لكل قوة على حدى
+
+242
+00:20:04,780 --> 00:20:12,180
+مشاكل بالاتفاقين؟ تمام بيقول لي في عندي MG و N كيف
+
+243
+00:20:12,180 --> 00:20:19,420
+و N و هذي الـ F و هذي الـ L و هذي الـ FK صحيحين؟ في
+
+244
+00:20:19,420 --> 00:20:27,210
+مشكلة عندي؟ الـ MG زمان حللناها لـ MG SIN و MG COS
+
+245
+00:20:27,210 --> 00:20:32,570
+و روحت الـ MG طيب الإزاحة كيف؟
+
+246
+00:20:35,150 --> 00:20:39,510
+ما إلى الأعلى تمام كل قوة عمودية على الإزاحة كم
+
+247
+00:20:39,510 --> 00:20:45,930
+شغلها؟ 6 N بتعمل شغل؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+248
+00:20:45,930 --> 00:20:46,450
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+249
+00:20:46,450 --> 00:20:48,010
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+250
+00:20:48,010 --> 00:20:48,390
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+251
+00:20:48,390 --> 00:20:48,410
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+252
+00:20:48,410 --> 00:20:58,110
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+253
+00:20:58,110 --> 00:20:58,610
+ل
+
+254
+00:21:03,510 --> 00:21:09,170
+في شغل موجب وشغلين سلبيات هذا موجب، هذول سلبيات لأن
+
+255
+00:21:09,170 --> 00:21:15,590
+هذول عكس الازاحة إذن أمور إيه؟ سهلة، يلّا، آه،
+
+256
+00:21:15,590 --> 00:21:20,390
+ضبطت أشيرك؟ تمام for gravity بدي أبدأ في الـ
+
+257
+00:21:20,390 --> 00:21:24,470
+gravity اللي هي Mg Sin الزاوية بقول و تبعت لـ
+
+258
+00:21:24,470 --> 00:21:29,650
+gravity بتساوي Mg Sin الزاوية في D في Cos الـ π
+
+259
+00:21:29,650 --> 00:21:34,360
+عشان السلبمادي سالب في الآخر بالـ Cos Cos الـ 180
+
+260
+00:21:34,360 --> 00:21:39,220
+سالب واحد الـ D نص و الـ M اتنين و الجيب نعرفها و
+
+261
+00:21:39,220 --> 00:21:42,840
+الزاوية معروفة اضرب هذا كله since the force and
+
+262
+00:21:42,840 --> 00:21:46,960
+displacement are opposite تمام طلعها بالكمبيوتر
+
+263
+00:21:46,960 --> 00:21:52,980
+طلعت minus 5.88 joule هذه الشغل التي تبذله
+
+264
+00:21:52,980 --> 00:22:01,180
+الجاذبية أثناء صعود الجسم على المستوى تمام عندها
+
+265
+00:22:01,180 --> 00:22:06,880
+دول نقطة فيها السفسار؟ أكيد؟
+
+266
+00:22:06,880 --> 00:22:15,960
+إيه؟ عيش عيد فيها؟ Cosine of π من وين جيبتها؟ مش
+
+267
+00:22:15,960 --> 00:22:20,280
+هو الشغل بيساوي F في إزاحة في Cosine الزاوية اللي
+
+268
+00:22:20,280 --> 00:22:26,580
+بينهم؟ طيب الإزاحة أنتوا قلتولي فوق و MG قداش
+
+269
+00:22:26,580 --> 00:22:30,400
+الزاوية اللي بينهم؟ زباطات؟ غيرهم؟
+
+270
+00:22:36,530 --> 00:22:40,970
+أحنا زي المقولة اللي بتقول دايمًا اللي العلم بتوهم
+
+271
+00:22:40,970 --> 00:22:45,230
+بين الكبر والحياة فالواحد إما بتكبر إنه يسأل
+
+272
+00:22:45,230 --> 00:22:49,230
+السؤال أو إنه خجال يسأل السؤال فلا بدنا نتكبر
+
+273
+00:22:49,230 --> 00:22:54,360
+العلم مافيش عليها كبير ولا بدنا نخجل ما تفكروش إنه
+
+274
+00:22:54,360 --> 00:22:57,560
+فيه سؤال أنتو مش عارفينه تافه. ما زال أنتو مش
+
+275
+00:22:57,560 --> 00:23:01,960
+عارفينه. السؤال التافه الوحيد اللي الطالب بيسأله
+
+276
+00:23:01,960 --> 00:23:06,740
+ويعرف إجابته. هذا هو التافه الوحيد. أما أي سؤال،
+
+277
+00:23:06,740 --> 00:23:11,600
+أي إن كان ما زال أنت مش عارفه، فهو سؤال كبير.
+
+278
+00:23:12,860 --> 00:23:17,020
+ومستحيل تكوني الوحيدة اللي مش عارفاها. No way. إلا
+
+279
+00:23:17,020 --> 00:23:23,970
+يكون في حواليك كتير زيك. فما تخجلوش.تمام؟ ومافيش
+
+280
+00:23:23,970 --> 00:23:26,410
+سؤال يعني أنا كبير عليه لحظة ينحقوا عليّ إن أنا
+
+281
+00:23:26,410 --> 00:23:32,050
+ما صيبتش حدا من هناك مافيش سؤال بنتحق عليه تمام؟
+
+282
+00:23:32,050 --> 00:23:38,970
+إيه شعيتي؟ عقيد؟ حاضر؟ هرجيت؟ هه؟ بدي أمحي؟ ياريت
+
+283
+00:23:38,970 --> 00:23:41,310
+ما قلت تمام
+
+284
+00:23:43,050 --> 00:23:50,890
+work بيساوي F ضد الـ S أخدتوه؟ هافظينه بتساوي F في
+
+285
+00:23:50,890 --> 00:23:56,590
+S في Cosine الزاوية اللي بينهم صحيح هيك؟ طيب هاي F
+
+286
+00:23:56,590 --> 00:24:04,630
+و هاي S قداش الزاوية اللي بينهم؟ 180 إذاً كل قوة
+
+287
+00:24:04,630 --> 00:24:08,410
+.. لما تكون قوة و إزاحة عكس بعض قداش الزاوية؟ 180
+
+288
+00:24:08,410 --> 00:24:12,850
+أنا قاعد بجيب ليها شبلات لـ Gravity لـ Gravity أنا
+
+289
+00:24:12,850 --> 00:24:16,590
+جسمتها لـ نصين هادي و هادي هجيت هادي بتعمل شغل؟ لأ
+
+290
+00:24:16,590 --> 00:24:19,510
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+291
+00:24:19,510 --> 00:24:19,950
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+292
+00:24:19,950 --> 00:24:21,070
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+293
+00:24:21,070 --> 00:24:21,230
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+294
+00:24:21,230 --> 00:24:33,210
+لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+295
+00:24:33,210 --> 00:24:35,170
+ل
+
+296
+00:24:40,860 --> 00:24:45,140
+اللي هي الـ D طيب جدّيش الزاوية اللي بينهم؟ وصلت
+
+297
+00:24:45,140 --> 00:24:48,780
+لـ 180 ولا أنتو تعرفوش أن الـ π دي 180؟ أحطها
+
+298
+00:24:48,780 --> 00:24:54,120
+180 تظبط معاكم؟ تمام؟ آه .. تمام الـ π والله هي
+
+299
+00:24:54,120 --> 00:25:01,860
+الـ 180 تمام؟ من وين هالـ π هذه الـ 3.40؟ في الـ
+
+300
+00:25:01,860 --> 00:25:08,240
+degree تمام هذه كده سرعة؟ ثالث واحد صحيح؟ الـ D
+
+301
+00:25:08,240 --> 00:25:15,960
+نصف والـ M في الـ G 19.6 يعني هو الاتنين في 9.8
+
+302
+00:25:15,960 --> 00:25:19,100
+وصيب السبعة و تلاتين الكمبيوتر بتطلع حاجته اللي
+
+303
+00:25:19,100 --> 00:25:24,440
+بيسوي 1.6 في الآخر تمام؟ طلعتها الكمبيوتر minus 5
+
+304
+00:25:24,440 --> 00:25:34,020
+.88 J غيره ضبطها دي؟ طيب الحمد لله هذه الـ gravity
+
+305
+00:25:34,020 --> 00:25:39,240
+ليس هذا مش ناسي الـ second component of gravity
+
+306
+00:25:39,240 --> 00:25:42,360
+اللي عنديكو صار الزاوية المركبة الأخرى من الـ
+
+307
+00:25:42,360 --> 00:25:46,380
+gravity does not do any work ليش؟ since it is
+
+308
+00:25:46,380 --> 00:25:49,420
+perpendicular to the displacement لأن الزاوية بين
+
+309
+00:25:49,420 --> 00:25:53,520
+الازاحة والقوة تسعين درجة التسعين كيف مكتوب؟ π
+
+310
+00:25:53,520 --> 00:26:00,720
+على اتنين π على اتنين تمام تراجع تمام رجعنا لنفس الرسمة
+
+311
+00:26:00,720 --> 00:26:05,280
+هجيب من دي الـ capital F الـ capital F شايفينها؟ مع
+
+312
+00:26:05,280 --> 00:26:10,520
+الازاحة كدهش الزاوية؟ كوساين الـ zero؟ واحد فجلب
+
+313
+00:26:10,520 --> 00:26:15,120
+تساوي F في D يمكن لازم أكتب كوساين الـ zero،
+
+314
+00:26:15,120 --> 00:26:21,100
+مظبوط؟ كوساين الـ zero؟ one الـ F عشري، و الـ D نص؟
+
+315
+00:26:21,100 --> 00:26:25,180
+عشرة في نص؟ عشرة، تمام؟ حلو
+
+316
+00:26:29,010 --> 00:26:35,140
+القوة الفرقية تستخدم أول ما بيجيبني فرصة في الـ
+
+317
+00:26:35,140 --> 00:26:40,260
+friction بقول F of K FK equal to Nu K في الـ N و N
+
+318
+00:26:40,260 --> 00:26:45,480
+بيسوي MG Cosine الزاوية مظبوط ولا لأ؟ N بيسوي MG
+
+319
+00:26:45,480 --> 00:26:51,060
+Cos الزاوية و Nu K أعطانيها، فطلعت أول FK، هديت
+
+320
+00:26:51,060 --> 00:26:54,200
+بقول Note that the work done by this friction
+
+321
+00:26:54,200 --> 00:27:02,260
+force is FW تبعتي فاتشين بسوء سالب من كوساين ال بيفك
+
+322
+00:27:02,260 --> 00:27:12,060
+في D فك 3.13 في نص 1.57 جول بالسالب دلنا نشيل الـ
+
+323
+00:27:12,060 --> 00:27:18,540
+N و الـ N بتعمل الشغل double unit اجمعهم بقول الآن
+
+324
+00:27:18,540 --> 00:27:21,800
+طبعًا هي السالب .. بقولك من أين جبتها عشان ما حد
+
+325
+00:27:21,800 --> 00:27:25,040
+يسأل هذو كوساين اربعك since the friction and
+
+326
+00:27:25,040 --> 00:27:28,800
+displacement are opposite to each other أي استخصار
+
+327
+00:27:29,720 --> 00:27:35,260
+أجمع عندي تلاتة works scalars بنجمعهم ويجمعهم
+
+328
+00:27:35,260 --> 00:27:40,580
+ويسلبهم المجبر بنجمع والسلب بنجمع تمام فبصير عندي
+
+329
+00:27:40,580 --> 00:27:45,800
+using the work energy theorem دايتا كده بيساوي W
+
+330
+00:27:45,800 --> 00:27:49,880
+net ايش W net؟ تبعت ل gravity وتبعت لـ capital F
+
+331
+00:27:49,880 --> 00:27:56,460
+وتبعت لـ friction صح ولا لا؟ طيب نجمعهم هادي هيها
+
+332
+00:27:56,460 --> 00:28:01,880
+هاديهيها و الـ friction ده هي جمعنا تجميع الـ
+
+333
+00:28:01,880 --> 00:28:08,300
+scalars طلعت 2.55 جول هذا W net على الجسم W net على
+
+334
+00:28:08,300 --> 00:28:12,400
+الجسم الآن بقول Delta K بيساوي K final نقص K
+
+335
+00:28:12,400 --> 00:28:18,520
+initial صحيح ولا لأ؟ إذا K final تمام؟ اللي هي
+
+336
+00:28:18,520 --> 00:28:21,780
+بتساوي Delta K زي K initial وبعدين Delta K إيش
+
+337
+00:28:21,780 --> 00:28:37,750
+بتحط؟ W net فطلعت معايا K final equal 3.75 J أي
+
+338
+00:28:37,750 --> 00:28:44,250
+سؤال؟ سهل احنا اتفقنا ان هذا الـ chapter يا بنات
+
+339
+00:28:45,250 --> 00:28:48,010
+بكرا في شبكة السابعة هتلاقوه مش هتفهم منه شبكة
+
+340
+00:28:48,010 --> 00:28:52,810
+السابعة أعام منه بحتويه تمام؟ يعني بحتويه من
+
+341
+00:28:52,810 --> 00:28:57,530
+مين؟ بيقول كل المعلومات أخدتها و شفت منها لحد
+
+342
+00:28:57,530 --> 00:29:04,570
+تلاتة في اي استفسار يا بنات؟ تمام الآن الـ power
+
+343
+00:29:04,570 --> 00:29:11,510
+إيش معاك power؟ قدرة القدرة ما هيش القوة القوة
+
+344
+00:29:11,510 --> 00:29:13,150
+force تمام؟
+
+345
+00:29:15,800 --> 00:29:27,680
+القوة ما هي دعوة من النار دعوة من النار دعوة من
+
+346
+00:29:27,680 --> 00:29:28,060
+النار دعوة من النار دعوة من النار دعوة من النار
+
+347
+00:29:28,060 --> 00:29:28,340
+النار دعوة من النار دعوة من النار دعوة من النار
+
+348
+00:29:28,340 --> 00:29:31,660
+النار دعوة
+
+349
+00:29:31,660 --> 00:29:39,860
+من النار دعوة من النار دعوة من النار وكل واحد بدى
+
+350
+00:29:39,860 --> 00:29:44,700
+يمشي من هون خلانجور 500 متر و قاعد أقول كده كل
+
+351
+00:29:44,700 --> 00:29:50,520
+واحد بدأ الشغل طبعًا؟ المفروض نفس المسافة إذا نفس
+
+352
+00:29:50,520 --> 00:29:58,060
+الشغل لأ ما نرجع بسرعة نفس الشغل طبعًا؟ هلجيت
+
+353
+00:29:58,060 --> 00:30:02,540
+بواحد يقول طيب مين أسرع؟ اللي بدو يوصل قبل .. اللي
+
+354
+00:30:02,540 --> 00:30:06,800
+بدو يوصل قبل لكن كشغل زي بعض مين أسرع إذا إنما
+
+355
+00:30:06,800 --> 00:30:10,160
+أقول مين أسرع دخل .. مين بيصل الجبل؟ دخل الزمن
+
+356
+00:30:10,160 --> 00:30:15,000
+اللي بيصل الجبل بقول عنه أسرع صح أو لأ؟ برجع نجي
+
+357
+00:30:15,000 --> 00:30:20,280
+مثلين حلوين حمار و حصان تعرفوهم؟ تمام بيفرجوا عن
+
+358
+00:30:20,280 --> 00:30:25,140
+بعض؟ من أجوا؟ الحمار و الحصان برافو عليكم هذي
+
+359
+00:30:25,140 --> 00:30:30,620
+تقولنا نجيبنا حمار قولنا له أحرط هدله حرطوا في
+
+360
+00:30:30,620 --> 00:30:32,820
+الآخر إيه يا حصان؟ قلنا له لا تحدّو لمحارته
+
+361
+00:30:32,820 --> 00:30:38,060
+النتيجة عشان كمان إدّاك نفس الشغل لكن الحمار ده
+
+362
+00:30:38,060 --> 00:30:41,280
+جعل بتون انهار الحصان بتساعد يقدس عشان كده بيقول
+
+363
+00:30:41,280 --> 00:30:47,860
+عن الحصان أجوة قدرته أكبر إذن لما أقعد أشتغل و
+
+364
+00:30:47,860 --> 00:30:52,720
+أدخل عامل الزمن بيصير في عندي مصطلح يدين قدرة
+
+365
+00:30:52,720 --> 00:30:56,980
+كل ما جالي الزمن إيش بيصيح القدرة؟ بتدين القدرة
+
+366
+00:30:56,980 --> 00:31:02,120
+لإن الصراحة أنجز إذا أنا ما توقع القدرة تكون شغل
+
+367
+00:31:02,120 --> 00:31:06,660
+على زمن شغل على زمن عشان أنه يتناسب تناسبًا عكسيًا
+
+368
+00:31:06,660 --> 00:31:11,800
+مع الزمن بيقول لي the power is defined as the time
+
+369
+00:31:11,800 --> 00:31:17,400
+rate at which work is done هو معدل عملي الشغل كده
+
+370
+00:31:17,400 --> 00:31:22,040
+الشغل اللي عمل بسرعة أكتر كل من عمل الشغل بسرعة
+
+371
+00:31:22,040 --> 00:31:28,800
+أكبر بتكون قدرة أكبر بزمن أقل القوة العاملة ..
+
+372
+00:31:28,800 --> 00:31:32,880
+سأبدأ بالقوة العاملة الآن .. خلال الوقت المقابل في
+
+373
+00:31:32,880 --> 00:31:38,020
+فترة زمنية يُعرف على أن الشغل على الزمن .. الشغل
+
+374
+00:31:38,020 --> 00:31:42,760
+على الزمن .. إذا هذه القوة .. إذا طول ما أنت ..
+
+375
+00:31:42,760 --> 00:31:47,200
+جيتك تفعل اعتبار مين أسرع و مين أستغرق زمن أقل أو
+
+376
+00:31:47,200 --> 00:31:50,900
+أكتر دخل الزمن .. صار عندك كمية نسميها القوة ..
+
+377
+00:31:50,900 --> 00:31:53,820
+القدرة .. طبعًا أديكم كمية مثال أكتر .. إن ما عرفوا
+
+378
+00:31:53,820 --> 00:31:57,430
+أن تو تتدخلوا كتير في هذا الشغل هذا ولا لا .. الـ
+
+379
+00:31:57,430 --> 00:32:00,270
+telephone كل واحد عنده مطور يطلع الميه فوق صحيح
+
+380
+00:32:00,270 --> 00:32:03,890
+ولا لأ؟ كل واحد اللي عنده هالبرميل مطور صغير ولما
+
+381
+00:32:03,890 --> 00:32:07,330
+تقرر كبير إذا انت لها البرميل نفس الشغل صح ولا لأ؟
+
+382
+00:32:07,330 --> 00:32:10,430
+لكن الواحد بيجيب مطور كبير ليش؟ عشان ينفعز في نهار
+
+383
+00:32:10,430 --> 00:32:13,830
+يعبّي الميه صح ولا لأ؟ إذا في الآخر لما دخل الزمن
+
+384
+00:32:13,830 --> 00:32:17,050
+عشان كده بيقولوا المطور هذا أحصان والأحصان نص صح
+
+385
+00
+
+431
+00:35:45,660 --> 00:35:50,240
+.. بدي جول يعني هذا ممكن أحولها لجول فهذه كيلو وات
+
+432
+00:35:50,240 --> 00:35:54,620
+في زمن هي وحدة الطاقة فهذه هي الوحدة التجارية
+
+433
+00:35:54,620 --> 00:35:59,880
+للطاقة الكهربائية لسهلكها البيت تبعكم خلال شهر بس
+
+434
+00:35:59,880 --> 00:36:03,120
+هم .. يعني ممكن نحولها لجول في السهلة ال kilowatt
+
+435
+00:36:03,120 --> 00:36:06,280
+بنحولها ل watt ولو ال hour بنحولها ل second
+
+436
+00:36:06,280 --> 00:36:10,560
+بتطلع جول هي بصير جول جديش لكن الواحد اللي متعرف
+
+437
+00:36:10,560 --> 00:36:15,380
+عليها اللي هي التجارية اللي بيحسبه جديش فلوس و
+
+438
+00:36:15,380 --> 00:36:18,800
+حاجة ال kilowatt hour الواحد عندنا في غزة حوالي نص
+
+439
+00:36:18,800 --> 00:36:24,500
+شيكل حوالي نص شيكل وبالتالي ال 220 بتطلع حوالي 210
+
+440
+00:36:24,500 --> 00:36:28,220
+شيكل في الشهر تمام؟ ف ..
+
+441
+00:36:31,280 --> 00:36:37,000
+تمام. طب ايه جاب القدرة ال mechanical بالقدرة
+
+442
+00:36:37,000 --> 00:36:42,240
+الكهربائية؟ نفس الشيء يا بنات لأنه الكهربا هو
+
+443
+00:36:42,240 --> 00:36:45,960
+عامل بيرفع شحنات من مكان لمكان زي اللي بيرفع
+
+444
+00:36:45,960 --> 00:36:49,640
+الميه زي اللي بيرفع الحجر كل حاجة نفس القضية
+
+445
+00:36:49,640 --> 00:36:54,400
+وبالتالي عشان أنا أجيب تيار كهربائي ويمشي في داري
+
+446
+00:36:54,400 --> 00:36:59,190
+بدي أرفع شحنات لأن التيار هي سائل من الشحنات،
+
+447
+00:36:59,190 --> 00:37:02,570
+مظبوط ولا لا؟ إذا لازم أجبر شحنات تتحرك وبالتالي
+
+448
+00:37:02,570 --> 00:37:06,690
+لابد إنه بدي قدرة وتحسب القدرة مع ال energy عشان
+
+449
+00:37:06,690 --> 00:37:13,050
+كده بيقولوا كل لمبة من هدول 40 وات كل لمبة من هدول
+
+450
+00:37:13,050 --> 00:37:18,270
+أربعين وات ولما شغلنا ال بي أل ز وال UPS
+
+451
+00:37:18,270 --> 00:37:23,150
+هوانهم ال بي أل ز صح ولا لأ عشان نسحب أكثر لأن ال بي
+
+452
+00:37:23,150 --> 00:37:26,670
+أل ز من الأربعين ممكن توصل لعشرين أو اتنين وعشرين
+
+453
+00:37:26,670 --> 00:37:30,910
+وبعد ال بي ألات طلع حاجة جديدة اسمها ال LED ال LED
+
+454
+00:37:30,910 --> 00:37:36,670
+خمسة وات يعني كل خمسة .. شوفوا الخمسة .. كل تمام
+
+455
+00:37:36,670 --> 00:37:42,920
+LED تساوي نيون واحد كل 8 لمبات LED وخمسة وات نيّحة
+
+456
+00:37:42,920 --> 00:37:47,640
+أي نار تطلع معقول يعني بتضوي بتضوي غرفة نيّحة كل 8
+
+457
+00:37:47,640 --> 00:37:52,470
+لمبات LED بتساوي نيون واحد زمان كانوا يقولوا نيون
+
+458
+00:37:52,470 --> 00:37:56,750
+بيسحبش مقارنة باللمبات القديمة القديمة كانت ميت
+
+459
+00:37:56,750 --> 00:38:02,270
+وقت لحالها ونرقها حتى مش حلوة فهجيت أجال لمبات
+
+460
+00:38:02,270 --> 00:38:06,410
+بيسحبوا كهربا هم اللي بيسموها ال LED ال LED هذه
+
+461
+00:38:06,410 --> 00:38:10,450
+بين خمسة إلى عشرة وات والعشرة وات يعني ربع نيون
+
+462
+00:38:11,440 --> 00:38:16,060
+طبعا كل معنى جلالة ال وات معناته بالساعة هذه
+
+463
+00:38:16,060 --> 00:38:23,640
+الخمسة وات، كل ساعة تسحب لي خمسة وات ساعة، خمسة وات
+
+464
+00:38:23,640 --> 00:38:28,540
+ساعة عشان برضه تحسبوا ساعة ال Kettle اللي هناك
+
+465
+00:38:28,540 --> 00:38:31,520
+اللي بيعملوا فيه الشاي ال Kettle اللي شايفينه هذا
+
+466
+00:38:31,520 --> 00:38:36,760
+اللي أغلبكم عنده زيه هذا لو تتطلعوا ورق يكون مكتوب
+
+467
+00:38:36,760 --> 00:38:41,320
+عليه 220 فولت يعني حوالي أكثر من 2 كيلو
+
+468
+00:38:44,580 --> 00:38:48,600
+واحد وعشرين ولا أكثر؟ واحد وعشرين وات يعني two
+
+469
+00:38:48,600 --> 00:38:52,820
+point two كيلو وات يعني two point two كيلو وات
+
+470
+00:38:52,820 --> 00:38:57,160
+يعني ايش معناته؟ كل ساعة بروح بسحب على عداد تبعكم
+
+471
+00:38:57,160 --> 00:39:02,560
+اتنين point two كيلو وات ساعة كل ساعة طبعا لو ظل
+
+472
+00:39:02,560 --> 00:39:06,060
+شغال معناته 220 في 30 معناته أكلته
+
+473
+00:39:06,060 --> 00:39:11,140
+هوا طبعا؟ لأنه بسحب كتير يا عقاب لازم نستخدمه
+
+474
+00:39:11,140 --> 00:39:16,780
+بشغله الساعة صحيح ولا لا؟ بشغله مدة أبسط الجوق
+
+475
+00:39:16,780 --> 00:39:21,580
+يا بنات لو أنا بدي أروح الوقت أرجحها لوحداتها
+
+476
+00:39:21,580 --> 00:39:25,800
+الأساسية بنرجع لأول محاضرة بقول الوحدات الأساسية
+
+477
+00:39:25,800 --> 00:39:33,400
+تلاتة طول و زمان أنا أقول الجول ع ثانية طب الجول مش
+
+478
+00:39:33,400 --> 00:39:39,400
+هو حكينا هو عبارة عن كتلة في سرعة تربيع نص MV
+
+479
+00:39:39,400 --> 00:39:45,360
+تربيع فكتلة سرعة تربيع يعني متر ع ثانية تربيع وفي
+
+480
+00:39:45,360 --> 00:39:50,900
+كمان ثانية يعني هذه الجول هي نص MV تربيع هذه كيلو
+
+481
+00:39:50,900 --> 00:39:55,220
+جرام وهذه متر ع ثانية تربيع وفي واحد ع ثانية طلعت
+
+482
+00:39:55,220 --> 00:39:59,960
+هذه صحيح ولا لأ؟ ف كيلوجرام متر تربيع ثانية تربيع و
+
+483
+00:39:59,960 --> 00:40:06,060
+ثانية تكعيب فهذه الوحدة الأساسية تبع ال وات بدلالة
+
+484
+00:40:06,060 --> 00:40:10,320
+الكميات التلاتة الأساسية في علم الميكانيكا اللي هم
+
+485
+00:40:10,320 --> 00:40:13,400
+ال mass وال distance والزمن
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/bmssLScx6FA_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/bmssLScx6FA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f4d7987b3f25f20a8d55547744cad055171c7ee8
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/bmssLScx6FA_raw.srt
@@ -0,0 +1,1964 @@
+1
+00:00:20,970 --> 00:00:25,710
+نستكمل ما تبقى من ال chapter اللى كان عنوانه work
+
+2
+00:00:25,710 --> 00:00:31,090
+and energy طلعنا ال work for a constant force بعد
+
+3
+00:00:31,090 --> 00:00:35,790
+كده ال work for a varying force وكان كمثال على
+
+4
+00:00:35,790 --> 00:00:42,250
+القوة المتغيرة هو spring force وطلعنا ان و of
+
+5
+00:00:42,250 --> 00:00:48,940
+spring equal halfKx initial square minus x final
+
+6
+00:00:48,940 --> 00:00:53,300
+square واتفقنا ان ال work تبع ال spring ممكن يكون
+
+7
+00:00:53,300 --> 00:00:58,140
+positive ممكن يكون negative بيعتمد على القوة و
+
+8
+00:00:58,140 --> 00:01:01,540
+اتجاه القوة او انه رايح ال equilibrium position او
+
+9
+00:01:01,540 --> 00:01:05,400
+مبتعد من ال equilibrium position اذا الجسم مبتعد
+
+10
+00:01:05,400 --> 00:01:08,600
+عن ال equilibrium positionبتكون القوة والإيزاها
+
+11
+00:01:08,600 --> 00:01:12,140
+عكس بعض وبالتالي ال work بيكون negative أما إذا
+
+12
+00:01:12,140 --> 00:01:15,960
+كان الجسم رايح على equilibrium position بتكون ال
+
+13
+00:01:15,960 --> 00:01:20,120
+force و ال displacement parallel وبالتالي بيكون ال
+
+14
+00:01:20,120 --> 00:01:24,060
+work positive خلّيني نشوف هالمثال بقولي a block is
+
+15
+00:01:24,060 --> 00:01:28,510
+tied to a spring عندى block مربوط بزنبركwith force
+
+16
+00:01:28,510 --> 00:01:33,510
+constant of 80N per meter كي تبعتي الزنبالك هذه
+
+17
+00:01:33,510 --> 00:01:39,410
+احنا اتفقنا ان F للزنبالك سواء minus K X هذه ثابت
+
+18
+00:01:39,410 --> 00:01:44,430
+الزنبالك واحدة نيوتن على متر تمام فالواحدة تبعت 80
+
+19
+00:01:44,430 --> 00:01:49,110
+نيوتن per meter اشون ال spring is compressed a
+
+20
+00:01:49,110 --> 00:01:51,190
+distance of three centimeters from equilibrium
+
+21
+00:01:51,190 --> 00:01:55,370
+position اذا انا عندي الزنبالك تبعي انضغط مسافة
+
+22
+00:01:55,370 --> 00:01:59,260
+مقدرها تلاتة سنتيمترطبعا .. بدّو calculate the
+
+23
+00:01:59,260 --> 00:02:03,140
+work done by the spring بدّو شغل الزنبراك as the
+
+24
+00:02:03,140 --> 00:02:06,480
+block moves from its equilibrium position to its
+
+25
+00:02:06,480 --> 00:02:10,880
+compressed position وانت بتضغط فيه جديش الشغل اللي
+
+26
+00:02:10,880 --> 00:02:15,180
+بدلو الزنبراك بي calculate the work done by the
+
+27
+00:02:15,180 --> 00:02:19,860
+spring جيب إيدك الآن .. إيش بتصيف الكتلة؟ بترجع ..
+
+28
+00:02:19,860 --> 00:02:24,100
+و هي راجعة جديش شغل الزنبراك .. طبعا .. إيه .. حلو
+
+29
+00:02:25,560 --> 00:02:30,420
+هذا الزرباغي التابعي وهذا الـ equilibrium position
+
+30
+00:02:30,420 --> 00:02:37,100
+هذا وضعه هو لا هو مضغوط ولا هو ممدود تمام .. الآن
+
+31
+00:02:37,100 --> 00:02:43,170
+.. أريد أن يحصل هكذاجدّيش المسافة اللي انضغطها
+
+32
+00:02:43,170 --> 00:02:48,910
+تلاتة سنتين متر حسب الكلاد تلاتة سنتين متر تقول
+
+33
+00:02:48,910 --> 00:02:54,010
+calculate the work done by the spring as the block
+
+34
+00:02:54,010 --> 00:02:57,370
+moves from its equilibrium position to its
+
+35
+00:02:57,370 --> 00:03:06,460
+compressed position حلو قانوني هيه نص K تمانيةX
+
+36
+00:03:06,460 --> 00:03:08,880
+initial و X final شايفين X initial وين كانت وين
+
+37
+00:03:08,880 --> 00:03:14,680
+صارت؟ ماجدش X initial و X final تلاتة بالسالب صحيح
+
+38
+00:03:14,680 --> 00:03:20,080
+ولا لأ؟ يعني سالب تلاتة بضعو طوي بقولوا ال block
+
+39
+00:03:20,080 --> 00:03:29,240
+was at its احكيه ايش و لا ليش؟
+
+40
+00:03:29,240 --> 00:03:33,040
+اول
+
+41
+00:03:33,040 --> 00:03:37,460
+سؤال اللي ماسمعتهش تاني سؤال اللي سمعتهالـ Sia
+
+42
+00:03:37,460 --> 00:03:42,820
+لجيتيها؟
+
+43
+00:03:42,820 --> 00:03:47,280
+طيب، هل جيت انت شايفة ال X تبعتك؟ ال .. ال .. ال
+
+44
+00:03:47,280 --> 00:03:54,880
+origin طيب، عيمينك مودة و عشمالك؟ بديك هذاك
+
+45
+00:03:54,880 --> 00:03:58,020
+المودة، بناخده المودة، بتفرج إيه معانا؟ هذا
+
+46
+00:03:58,020 --> 00:04:00,360
+بالتجاه المودة بالـ default مش احنا بنعمل X Axis
+
+47
+00:04:00,360 --> 00:04:05,790
+هيك هجيت أحط هنا، تلاقيته هنا؟مشاكل بعمل؟ وهي ال
+
+48
+00:04:05,790 --> 00:04:10,890
+origin؟ إذا اللي عليها مين ال origin؟ نجده غيرها
+
+49
+00:04:10,890 --> 00:04:15,610
+تمام بيقولي the block was at its equilibrium
+
+50
+00:04:15,610 --> 00:04:20,470
+position يعني بدأ من هناك x initial كان سفر تمام
+
+51
+00:04:20,470 --> 00:04:24,490
+and moves to a final position x final بنسبوه minus
+
+52
+00:04:24,490 --> 00:04:28,970
+three centimeter إذا بيقولي اتطبق على القانون صار
+
+53
+00:04:31,030 --> 00:04:37,890
+هذه هي الرصبة الخاصة بيها قانوني حقيته 80 على 2
+
+54
+00:04:43,230 --> 00:04:47,290
+فروح السلب اليهاد هذه 3×10 أو السلب 2 عشان احولها
+
+55
+00:04:47,290 --> 00:04:53,030
+ل متر 3×10 أو السلب 2 ربعوها صارت 9×10 أو السلب 4
+
+56
+00:04:53,030 --> 00:05:00,990
+طبعا بعد كده Calculator فطلع ال work minus 3.6¹-2
+
+57
+00:05:00,990 --> 00:05:09,730
+يول في أي استفسار تمام يا بنات اذا سؤال سهلروتيني
+
+58
+00:05:09,730 --> 00:05:13,730
+مافيش فيه أي trick الان بيقولي هاي هنا صح .. بدي
+
+59
+00:05:13,730 --> 00:05:19,950
+ارجعه .. بدي ارجعه ال initial position هي هذه و ال
+
+60
+00:05:19,950 --> 00:05:24,310
+final position هي ال zero تمام؟ اذا بيقولي الان ده
+
+61
+00:05:24,310 --> 00:05:31,450
+هو في P هاي مانا ثلاثة سنتمتع .. الان بدي ارجعه ..
+
+62
+00:05:31,450 --> 00:05:36,840
+هاي و رجعX initial هي الـ final صارت 0 مظبوط ولا
+
+63
+00:05:36,840 --> 00:05:40,560
+لأ؟ بالتالي الـ now X initial هي السالة التلاتة
+
+64
+00:05:40,560 --> 00:05:44,160
+يعني هو يقول لي وين كان و وين صار عملية سهلة و وين
+
+65
+00:05:44,160 --> 00:05:47,160
+كان و وين صار هو بيقوللي في السؤال بدي يا من وين
+
+66
+00:05:47,160 --> 00:05:50,600
+لوين في أثناء .. و أنا قاعد بشتغل بقول وين ال X
+
+67
+00:05:50,600 --> 00:05:54,040
+initial و X final X initial equal minus three
+
+68
+00:05:54,040 --> 00:05:57,340
+centimeters and moves to a final position اللي هو
+
+69
+00:05:57,340 --> 00:06:01,620
+ال equilibrium position اللي هي X final equal to
+
+70
+00:06:01,620 --> 00:06:08,160
+zero قللي رجع لقانونةنص K X initial نقص X final
+
+71
+00:06:08,160 --> 00:06:13,100
+تربية ال X initial تلاتة بالسالب ربعها صارت تلاتة
+
+72
+00:06:13,100 --> 00:06:17,040
+في عشر عقل السالب أربعة طولها زي هذه بسم الموجة صح
+
+73
+00:06:17,040 --> 00:06:23,080
+ولا لأ احكي الحين في الحالة الأولى الحين الزنبارك
+
+74
+00:06:23,080 --> 00:06:27,340
+هو نضغط صح؟انضغط .. اه .. اه بالنسبة للشغل يعني
+
+75
+00:06:27,340 --> 00:06:30,560
+انت بتقول انه .. مش عارف .. مش فاهمهها هذه ..شيء
+
+76
+00:06:30,560 --> 00:06:32,780
+مش فاهمهها .. ماكملتيش .. ماكملتيت .. كانت الشغل
+
+77
+00:06:32,780 --> 00:06:38,140
+هاد انه الزنبارك هو إله شغل هنا .. اه .. هو ..
+
+78
+00:06:38,140 --> 00:06:41,740
+كذلك يعني .. صورة شغله يعني .. الزنبارك .. قوة
+
+79
+00:06:41,740 --> 00:06:45,080
+الزنبارك هي اللي بتعمل شغل .. حاجات و انت .. و انت
+
+80
+00:06:45,080 --> 00:06:48,720
+ماشية .. دقطة .. اه .. بتضغطيه براحتك بدون أي عقب
+
+81
+00:06:48,720 --> 00:06:51,940
+.. لأ .. يعني الزنبارك فيه قوة بيأثر عليكي .. اه
+
+82
+00:06:51,940 --> 00:06:57,320
+.. طيب الشغل بيساوي القوة ..في الإزاحة بالتكامل
+
+83
+00:06:57,320 --> 00:07:00,240
+تبعنا، مظبوط ولا لا؟ إذا الزنبراكو وانت قاعد
+
+84
+00:07:00,240 --> 00:07:05,920
+بتمشيه، قاعد بيبذل ضدك work، احسبيه، حاسبته، تلاقي
+
+85
+00:07:05,920 --> 00:07:09,680
+سالب، إذا إيش اللي فيه المشكلة عندك؟ بالظبط زي ما
+
+86
+00:07:09,680 --> 00:07:13,880
+بترفع الجلم هذا لفوق، بترفعيه بسهولة ولا أنت ضد
+
+87
+00:07:13,880 --> 00:07:19,440
+الجاذبية؟ فانت وانت مطلعا، الجاذبية بتعمل شغل،
+
+88
+00:07:20,300 --> 00:07:23,640
+الشغل الجاذبى بطلع سالم زى ما الزومبراكينه طلع
+
+89
+00:07:23,640 --> 00:07:26,860
+سالم ..الان بدي أرجعه الجلام .. هذى بالظبط زى هى
+
+90
+00:07:26,860 --> 00:07:31,580
+.. بدي أرجعه .. الشغل بتعمل نفس الشغل بس بالموجب
+
+91
+00:07:31,580 --> 00:07:36,460
+.. صحيح ولا لأ؟ طيب سؤالى الآن .. هاي القانون أثار
+
+92
+00:07:36,460 --> 00:07:39,460
+المفقول دايما .. هو فى الآخر إيش عمل؟ كان فى ال
+
+93
+00:07:39,460 --> 00:07:42,300
+equilibrium position .. انضغط و بعدين رجع .. صح؟
+
+94
+00:07:42,300 --> 00:07:47,250
+بدي أقول .. فى الأول كان وين؟ أول أول حاجة ..كان
+
+95
+00:07:47,250 --> 00:07:50,150
+في الـ Equilibrium Position وفي الأخر بعد هذا
+
+96
+00:07:50,150 --> 00:07:55,050
+الفرق، أين راح؟ لو بدي أجيب ال work من أول حركة
+
+97
+00:07:55,050 --> 00:07:58,690
+لأخرها، مش أجسمها، جدّيش ال Exception؟ سفر و ال
+
+98
+00:07:58,690 --> 00:08:03,050
+final؟ سفر، طيب هنا أنا جسمتها، لكن لو جمعتهم؟
+
+99
+00:08:03,050 --> 00:08:09,090
+ستطلع سفر، مظبوط او لا؟ أخد و طلع، زي هذا الجلب،
+
+100
+00:08:09,090 --> 00:08:14,520
+بدي أرفعه و أرجعهبدي أرفعه وأعود أرجعه جدّاش X
+
+101
+00:08:14,520 --> 00:08:19,280
+initial هيها و X final هيها X initial نقص X final
+
+102
+00:08:19,280 --> 00:08:23,940
+سفر وبالتالي ال total work is zero لأن X initial
+
+103
+00:08:23,940 --> 00:08:32,040
+equal X final بعتمد بس على بداية و نهايةخلصنا من
+
+104
+00:08:32,040 --> 00:08:36,740
+شغلة اسمها ال work ال work قوة في إذاعة لما تكون
+
+105
+00:08:36,740 --> 00:08:41,120
+القوة متغيرة واخدنا مثال الزنبركس قرأت ال work
+
+106
+00:08:41,120 --> 00:08:46,780
+بيسوي half K X تربيع نص K X تربيع بقول إن أنا بدي
+
+107
+00:08:46,780 --> 00:08:52,320
+أربطها بكمية تانية kinetic energy work kinetic
+
+108
+00:08:52,320 --> 00:08:57,000
+energy theorem kinetic energy طاقة الحركة سمعتوا
+
+109
+00:08:57,000 --> 00:09:07,560
+فيها؟ أيش بتساوي؟نص كاف يعني نص ان فيه تربية
+
+110
+00:09:07,560 --> 00:09:12,740
+Energy ايش واحدتها؟ جول و ال work ايش واحدته؟ جول
+
+111
+00:09:12,740 --> 00:09:16,500
+اذا لابد ان يكون بينهم علاقة صح ولا لا؟ بدنا نشتق
+
+112
+00:09:16,500 --> 00:09:20,710
+احنا وياكم هذه العلاقةتمام؟ بيقولّي let us
+
+113
+00:09:20,710 --> 00:09:23,810
+consider that the net force acting on an object
+
+114
+00:09:23,810 --> 00:09:28,950
+بيقولّي عشان أشتق بسهولة خلّي القوة باتجاه واحد،
+
+115
+00:09:28,950 --> 00:09:32,850
+باتجاه ال X-axis، تمام؟ باتجاه معين وهذا الاتجاه
+
+116
+00:09:32,850 --> 00:09:36,850
+أخدته X-axis is in the X-direction then we write
+
+117
+00:09:36,850 --> 00:09:41,810
+ال work بيساوي Fx dx صحيح ولا لا؟ هذا كتابته لما
+
+118
+00:09:41,810 --> 00:09:45,810
+عملتي الزنبرة، نفس القوة طيب ال Newton التاني
+
+119
+00:09:45,810 --> 00:09:52,180
+أخدته؟أيش بيقول Fx بيسوي Max؟ مظبوط ولا لأ؟ جاللي
+
+120
+00:09:52,180 --> 00:10:00,440
+Fx بيسوي Max و بيسوي Mdv على Dt صح ولا لأ؟ تمام؟
+
+121
+00:10:00,440 --> 00:10:04,400
+فلنكتبها و نشوف إيش بيطلع معانا بيقول using
+
+122
+00:10:04,400 --> 00:10:08,240
+newton's second law قانون اللغة التانية اللي كلكم
+
+123
+00:10:08,240 --> 00:10:14,760
+بتعرفوه جاللي Fx بيسوي Max و Dv على Dt صح ولا لأ؟
+
+124
+00:10:14,760 --> 00:10:21,510
+تمامأخدتوا ال share rule في ال calculus و انتوا
+
+125
+00:10:21,510 --> 00:10:31,290
+مااخدتوش في الشطرة التانية طبعاكم
+
+126
+00:10:31,290 --> 00:10:35,210
+بتشوفوها ما هي share rule ولا غيرها نفسها DV على
+
+127
+00:10:35,210 --> 00:10:40,090
+DT بيساوي DV على DX DX على DT صح ولا لا؟ خدتوها في
+
+128
+00:10:40,090 --> 00:10:46,740
+المدارس مفروض تاخدوها جديد تستبع مجتمعاتيعني أنا
+
+129
+00:10:46,740 --> 00:10:49,660
+بقى مجرد ما أقول دي V على دي T بدي أقول دي V على
+
+130
+00:10:49,660 --> 00:10:56,380
+دي X، دي X على دي T تمام، هذه إيش هي؟ مش هال دي V
+
+131
+00:10:56,380 --> 00:11:01,360
+ولا لأ؟ فبدي أكتب هذه دي V على دي T بهذه الطريقة
+
+132
+00:11:01,360 --> 00:11:05,040
+V، دي V على دي X واحد بيقوللي ليش بتعمل هيك؟ بدي
+
+133
+00:11:05,040 --> 00:11:09,320
+أقوله بدي أضيع حاجة عدم شوف إيش ما نسوي تمام؟
+
+134
+00:11:09,320 --> 00:11:18,850
+عوضلي الآن بدل هذه بهذه صح ولا لأ؟واضحة الأمور قال
+
+135
+00:11:18,850 --> 00:11:26,310
+لي إذا Fx بتساوي M VdV على dx وعود الآن صار عندي M
+
+136
+00:11:26,310 --> 00:11:31,350
+VdV على dx و هنا VdX هذه محادرة اللي صاحب عليهم
+
+137
+00:11:31,350 --> 00:11:39,810
+صحيح؟ إيش بتصير عندي؟ VdV VdV XdX V تربيعة 2 V
+
+138
+00:11:39,810 --> 00:11:46,550
+تربيعة 2 صحيح ولا لا؟ إذن هذه تكاملها V² على 2في
+
+139
+00:11:46,550 --> 00:11:51,870
+تربيعتين من initial ل final ايش بسوي final تربيع
+
+140
+00:11:51,870 --> 00:11:57,670
+نقص initial تربيع طلعت هيك صحيح هيك ولا لأ هلجيت
+
+141
+00:11:57,670 --> 00:12:01,470
+ال kinetic energy هذا المقدار بقدر اقول عنه ال
+
+142
+00:12:01,470 --> 00:12:06,430
+kinetic energy finallyواللي بعده كينات ال energy
+
+143
+00:12:06,430 --> 00:12:12,430
+initially يعني K final نقص K initial يعني Delta K
+
+144
+00:12:12,430 --> 00:12:19,530
+فبيقول لي معناته W net بيسوي K final نقص K initial
+
+145
+00:12:19,530 --> 00:12:25,490
+وبيسوي Delta K ايش K هذه؟ الكينات ال energy طاقة
+
+146
+00:12:25,490 --> 00:12:33,750
+الحركة with KEqual نُص and V² is called the
+
+147
+00:12:33,750 --> 00:12:39,190
+kinetic energy ايش رمزة هنا كان؟ ط .. ط .. هنا K
+
+148
+00:12:39,190 --> 00:12:44,190
+طحا .. طحا .. طمام هنا بس رمز، شايفينها؟ أسهل، هنا
+
+149
+00:12:44,190 --> 00:12:51,890
+رمزين، عندنا رمز طبعاً K من kinetic energy كي
+
+150
+00:12:51,890 --> 00:12:51,910
+..
+
+151
+00:12:55,260 --> 00:13:03,400
+يعني اتصار يعني اتصار
+
+152
+00:13:03,400 --> 00:13:05,100
+يعني اتصار يعني اتصار يعني اتصار يعني اتصار يعني
+
+153
+00:13:05,100 --> 00:13:06,020
+اتصار يعني اتصار يعني اتصار يعني اتصار يعني اتصار
+
+154
+00:13:06,020 --> 00:13:06,340
+يعني اتصار يعني اتصار يعني اتصار يعني اتصار يعني
+
+155
+00:13:06,340 --> 00:13:06,420
+اتصار يعني اتصار يعني اتصار يعني اتصار يعني اتصار
+
+156
+00:13:06,420 --> 00:13:06,460
+يعني اتصار يعني اتصار يعني اتصار يعني اتصار يعني
+
+157
+00:13:06,460 --> 00:13:07,200
+اتصار يعني اتصار يعني اتصار يعني اتصار يعني اتصار
+
+158
+00:13:07,200 --> 00:13:13,520
+يعني اتصار يعني اتصار يعني اتصار يعني اتصار
+
+159
+00:13:13,520 --> 00:13:20,680
+يعني اتصار يعني اتصار يعني اتصار يعني اتصار يعني
+
+160
+00:13:21,110 --> 00:13:25,730
+بيقول ليه؟ a block of mass two kilogram moves
+
+161
+00:13:25,730 --> 00:13:30,830
+under the influence of a force هذه ال force F
+
+162
+00:13:30,830 --> 00:13:35,270
+equal twenty Newton و ال force نفسها makes an
+
+163
+00:13:35,270 --> 00:13:38,050
+angle of thirty seven degree above the horizontal
+
+164
+00:13:38,050 --> 00:13:42,930
+if the initial velocity is zero بدأ من السكون مشي
+
+165
+00:13:42,930 --> 00:13:46,690
+.. مش موجود؟
+
+166
+00:13:49,960 --> 00:13:53,680
+ما هو example مكتوب عليه اه اه اه طيب هو انا في
+
+167
+00:13:53,680 --> 00:13:59,260
+الكتاب غير عن الشريح تمام find the final velocity
+
+168
+00:13:59,260 --> 00:14:03,200
+after after the block moves a distance of 4 meters
+
+169
+00:14:03,200 --> 00:14:06,380
+بيقولي هاي الكتلة هذي شايفينها؟ قبل كده أخدناها
+
+170
+00:14:06,380 --> 00:14:10,900
+لما جيبنا ال network تمام؟
+
+171
+00:14:10,900 --> 00:14:18,340
+بيقولي إذا هذا بدأ من السكونوالمرة هذه قلنا لكم في
+
+172
+00:14:18,340 --> 00:14:22,080
+السؤال اللي جابله قلنا أوجد ال work الكل عليه إذا
+
+173
+00:14:22,080 --> 00:14:28,860
+كنتوا ذاكرينه الآن ماشي واتحرك لهنا قال لي جديش
+
+174
+00:14:28,860 --> 00:14:35,500
+سرعته جديش سرعته طبعا أنا بعرف كيف سرعته سرعة
+
+175
+00:14:35,500 --> 00:14:39,000
+أبتدائية و سرعة نهائية بجيب ال acceleration و بشتر
+
+176
+00:14:39,000 --> 00:14:43,930
+عليه صحيح ولا لأالقوانين اللي احنا عارفينهم اللي
+
+177
+00:14:43,930 --> 00:14:48,710
+هم فيه تربيع بيسموه P0 تربيع plus 2EX هذا القانون
+
+178
+00:14:48,710 --> 00:14:52,530
+ممنفعش اطبقه إلا إذا كان ال acceleration constant
+
+179
+00:14:52,530 --> 00:14:57,170
+الآن أنا بدّي أدور ثابتة ولا مش ثابتة بديش أستخدم
+
+180
+00:14:57,170 --> 00:15:00,390
+هذه القوانين بدي أروح على القانون اللي أخدته
+
+181
+00:15:00,390 --> 00:15:07,360
+double unitبتسوي Delta K هذا مجلّيش ماليش جعوة
+
+182
+00:15:07,360 --> 00:15:13,520
+التسارع ثابت ولا مثابت مابذورش و بيسألش إذا هذا
+
+183
+00:15:13,520 --> 00:15:18,820
+القانون صار المفعول لجميع أنواع التسارعات و جميع
+
+184
+00:15:18,820 --> 00:15:24,020
+أنواع القوة بس المهم جيب Double Unit تمام؟ و Delta
+
+185
+00:15:24,020 --> 00:15:30,620
+K إشية K Final ناقص K Initial K Finalبتعتمد على
+
+186
+00:15:30,620 --> 00:15:33,760
+السرعة النهائية ولا لا؟ و K-initial بتعتمد على
+
+187
+00:15:33,760 --> 00:15:36,720
+السرعة الأفضلية؟ لاجب أن كـfinal بطلع السرعة
+
+188
+00:15:36,720 --> 00:15:40,440
+الـfinal لأنه نص M والـM معروفة ونص المعرفة، إذن
+
+189
+00:15:40,440 --> 00:15:45,800
+معناته في هكذا مسائل أسهلي أنا أستخدم هذه القانون،
+
+190
+00:15:45,800 --> 00:15:48,600
+ماإن هيجيب التسارع، وبعدين من التسارع أطلع عليها
+
+191
+00:15:48,900 --> 00:15:51,780
+constant و لا مش constant و اختلّي القانون من هذه
+
+192
+00:15:51,780 --> 00:15:55,640
+القوانين اللي بعرفها لأ هيك على طول بشتغلها أفضل
+
+193
+00:15:55,640 --> 00:15:59,340
+في كتير من المسائل باستخدام ال energy أسهل أحلها
+
+194
+00:15:59,340 --> 00:16:02,780
+اللي ممكن تاخد سطر أو سطرين بطريقة تانية ممكن تاخد
+
+195
+00:16:02,780 --> 00:16:10,480
+صفحة أو أكتر تمام بيقول لي in example 6.1 أنا
+
+196
+00:16:10,480 --> 00:16:14,900
+وياكم شرحنا و كنا أوجد ده الشغل أيامها كان شغل
+
+197
+00:16:14,900 --> 00:16:22,510
+الاحتكاك وشغل usوكان MG تعمل الشغل وكان N تعمل
+
+198
+00:16:22,510 --> 00:16:28,170
+الشغل، ذاكرينها؟ تمام وبالتالي استخدمنا الشغل ال
+
+199
+00:16:28,170 --> 00:16:33,030
+double unit طلعت عندي 557.8 على أساس إن أنا شاحت
+
+200
+00:16:33,030 --> 00:16:36,310
+الجواب من المثال السابق طبعا لو هذا مش موجود في
+
+201
+00:16:36,310 --> 00:16:39,430
+المثال السابق، بدي أحلله من أول و جديدبدي اجيب شغل
+
+202
+00:16:39,430 --> 00:16:44,190
+احتكاك و بعدين اجيب شغل F فشغل احتكاك اعيده كمان
+
+203
+00:16:44,190 --> 00:16:51,170
+مرة شغل احتكاك بيسوى سالب FK في ال S و هادي ال UK
+
+204
+00:16:51,170 --> 00:17:01,080
+في ال N صحيح؟ و شغل F بيسوى 200 في Cos 37 في Sصحيح
+
+205
+00:17:01,080 --> 00:17:06,440
+هيك ولا لأ؟ تمام الان هذه M كيف أجيبها؟ بقول M
+
+206
+00:17:06,440 --> 00:17:15,400
+زائد 200 ساعي 37 equal MG وبالتالي بجيب M بعود ربع
+
+207
+00:17:15,400 --> 00:17:22,500
+في UK في السؤال كله تمام بطلع لي W net احنا ماخدين
+
+208
+00:17:22,500 --> 00:17:26,980
+كل المثال نفسه applying the work energy theory بعد
+
+209
+00:17:26,980 --> 00:17:31,870
+ما جبت ال networkجهز عندي و اللي كان جاهز مسبقا
+
+210
+00:17:31,870 --> 00:17:39,240
+Wnet بتسوي K-Initial نقص K-Final قدش فادي؟هذه 0
+
+211
+00:17:39,240 --> 00:17:43,660
+لأنه بدأ من السكول إذا بيسوء نص ال V final التربيع
+
+212
+00:17:43,660 --> 00:17:48,500
+اللي بدوا إياها هذه Zero تمام صار عندي هذا بيسوء
+
+213
+00:17:48,500 --> 00:17:53,300
+نص و M عبارة عن اتنين في V final التربيع اللي
+
+214
+00:17:53,300 --> 00:17:59,000
+بستطيع ساعتها مجهول الوحيد هو ال V final اللي بقدر
+
+215
+00:17:59,000 --> 00:18:03,100
+أجيبه وطلع 7.6 meter per second square
+
+216
+00:18:05,520 --> 00:18:09,500
+طبعا واحد ممكن يتسخدم هذا القانون ممكن بس بتجيبه
+
+217
+00:18:09,500 --> 00:18:14,140
+ال acceleration أول و تشوفوا الطريقة بتطلع نفس
+
+218
+00:18:14,140 --> 00:18:20,140
+الجواب ولا لا أي سؤال سهلة
+
+219
+00:18:20,140 --> 00:18:25,880
+صحيح المهم يجيب ال double unit و بعدين معادلة
+
+220
+00:18:25,880 --> 00:18:30,540
+رياضية كمان مثال تمام هذا موجود التاني هذا موجود
+
+221
+00:18:30,540 --> 00:18:36,790
+طب الحمد للهموضوع 2 كيلو جرام يدفع على محطة محطة
+
+222
+00:18:36,790 --> 00:18:38,710
+محطة محطة محطة محطة محطة محطة محطة محطة محطة محطة
+
+223
+00:18:38,710 --> 00:18:41,550
+محطة محطة محطة محطة محطة محطة محطة محطة محطة محطة
+
+224
+00:18:41,550 --> 00:18:43,170
+محطة محطة محطة محطة محطة محطة محطة محطة محطة محطة
+
+225
+00:18:43,170 --> 00:18:51,330
+محطة محطة محطة محطة محطة محطة
+
+226
+00:18:51,330 --> 00:18:58,630
+محطة محطة
+
+227
+00:18:59,310 --> 00:19:03,310
+The work done by the force F equal 20 Newton بعدين
+
+228
+00:19:03,310 --> 00:19:06,650
+The work done by friction بعدين If the mass has a
+
+229
+00:19:06,650 --> 00:19:10,810
+kinetic energy of 1.2 Joule at the beginning of
+
+230
+00:19:10,810 --> 00:19:14,670
+the displacement هذي K-initial يعني صحيح ولا لأ؟
+
+231
+00:19:14,670 --> 00:19:17,730
+بقول إذا كانت K-initial أنا مديكيها What is the
+
+232
+00:19:17,730 --> 00:19:20,050
+kinetic energy at the end of the displacement؟
+
+233
+00:19:20,050 --> 00:19:26,520
+مديكيه finalDouble unit سوى Delta K كينيشة
+
+234
+00:19:26,520 --> 00:19:29,840
+المعروفة ودانيها عشان اعرف كيف انا بدي double unit
+
+235
+00:19:29,840 --> 00:19:34,900
+double unit الشي هو شغل كل القوة التي تؤثر على
+
+236
+00:19:34,900 --> 00:19:41,700
+الجسم بيقولي هاي الكتلة اماس is pushed up جاعد انا
+
+237
+00:19:41,700 --> 00:19:46,420
+بتفحى الى اعلى اذا بعدى قوة تتفحى لفوق هذه القوة
+
+238
+00:19:46,420 --> 00:19:54,000
+عطانيها بتساوي عشرين نيوتن ده تمامالآن هذه المسافة
+
+239
+00:19:54,000 --> 00:19:58,040
+اللي مشيها دي اللي هي نص متر بيقول let us first
+
+240
+00:19:58,040 --> 00:20:00,940
+draw the free body diagram of the block بدي أشوف
+
+241
+00:20:00,940 --> 00:20:04,780
+القوة اللي بتأثر عشان أجيب الشغل لكل قوة على حدى
+
+242
+00:20:04,780 --> 00:20:12,180
+مشاكل بالاتفاقين؟ تمأ بيقول لي في عندي MG و N كيف
+
+243
+00:20:12,180 --> 00:20:19,420
+و N و هذي ال F و هذي ال L و هذي ال FK صحيحيك؟ في
+
+244
+00:20:19,420 --> 00:20:27,210
+مشكلة عندي؟الـ MG زمان حللناها لـ MG SIN و MG COS
+
+245
+00:20:27,210 --> 00:20:32,570
+و روحت الـ MG طيب الإزاحة كيف؟
+
+246
+00:20:35,150 --> 00:20:39,510
+ما إلى الأعلى تمام كل قوة عمودية على الإزاحة كم
+
+247
+00:20:39,510 --> 00:20:45,930
+شغلها؟ 6 N بتعمل شغل؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+248
+00:20:45,930 --> 00:20:46,450
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+249
+00:20:46,450 --> 00:20:48,010
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+250
+00:20:48,010 --> 00:20:48,390
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+251
+00:20:48,390 --> 00:20:48,410
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+252
+00:20:48,410 --> 00:20:58,110
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+253
+00:20:58,110 --> 00:20:58,610
+ل
+
+254
+00:21:03,510 --> 00:21:09,170
+في شغل موجب وشغلين سلبات هذا موجب، هذول سلبة لأن
+
+255
+00:21:09,170 --> 00:21:15,590
+هذول عكس اللزاحة إذن أمور إيه؟ سهلة، يلّا، آه،
+
+256
+00:21:15,590 --> 00:21:20,390
+ضبطت أشيرك؟ تمام for gravity، بدي أبدأ في الـ
+
+257
+00:21:20,390 --> 00:21:24,470
+gravity، اللي هي Mg صين الزاوية بقول و تبعت لـ
+
+258
+00:21:24,470 --> 00:21:29,650
+gravity بتساوي Mg صين الزاوية في D في كسان الـpi
+
+259
+00:21:29,650 --> 00:21:34,360
+عشان السلبمادي سالب في الآخر بالصين كسان الـ 180
+
+260
+00:21:34,360 --> 00:21:39,220
+سالب واحد ال D نص و ال M اتنين و الجيب نعرفها و
+
+261
+00:21:39,220 --> 00:21:42,840
+الزاوية معروفة اضرب هذا كسان since the force and
+
+262
+00:21:42,840 --> 00:21:46,960
+displacement are opposite تمام طلعها بالكمبيوتر
+
+263
+00:21:46,960 --> 00:21:52,980
+طلعت minus 5.88 joule هذه الشغل التي تبذله
+
+264
+00:21:52,980 --> 00:22:01,180
+الجاذبية أثناء صعود الجسم على المستوى تمامعندها
+
+265
+00:22:01,180 --> 00:22:06,880
+دول نقطة فيها السفسار؟ أكيد؟
+
+266
+00:22:06,880 --> 00:22:15,960
+إيه؟ عيش عيد فيها؟ cosine of pi من وين جيبتها؟ مش
+
+267
+00:22:15,960 --> 00:22:20,280
+هو الشغل بيساوي F في إزاحة في cosine الزاوية اللي
+
+268
+00:22:20,280 --> 00:22:26,580
+بينهم؟ طيب الإزاحة أنتوا قلتولي فوق و MG قداش
+
+269
+00:22:26,580 --> 00:22:30,400
+الزاوية اللي بينهم؟ زباطات؟ غيرهم؟
+
+270
+00:22:36,530 --> 00:22:40,970
+أحنا زي المقولة اللي بتقول دايما اللي العلم بتوهم
+
+271
+00:22:40,970 --> 00:22:45,230
+بين الكبر والحياة فالواحد إما بتكبر إنه يسأل
+
+272
+00:22:45,230 --> 00:22:49,230
+السؤال أو إنه خجال يسأل السؤال فلا بدنا نتكبر
+
+273
+00:22:49,230 --> 00:22:54,360
+العلم مافيش عليها كبير ولا بدنا نخجلما تفكروش إنه
+
+274
+00:22:54,360 --> 00:22:57,560
+فيه سؤال انتوا مش عارفينه تافه. ما زال انتوا مش
+
+275
+00:22:57,560 --> 00:23:01,960
+عارفينه. السؤال التافه الوحيد اللي الطالب بيسأله
+
+276
+00:23:01,960 --> 00:23:06,740
+ويعرف إجابته. هذا هو التافه الوحيد. أما أي سؤال،
+
+277
+00:23:06,740 --> 00:23:11,600
+أي إن كان ما زال انت مش عارفاه، فهو سؤال كبير.
+
+278
+00:23:12,860 --> 00:23:17,020
+ومستحيل تكوني الوحيدة اللي مش عارفاه. No way. إلا
+
+279
+00:23:17,020 --> 00:23:23,970
+يكون في حواليك كتير زيك. فما تخجلوش.تمام؟ ومافيش
+
+280
+00:23:23,970 --> 00:23:26,410
+سؤال يعني انا كبير عليه لحظة ينحقوا عليّ إن أنا
+
+281
+00:23:26,410 --> 00:23:32,050
+ماصيبتش حدا من هناك مافيش سؤال بنتحق عليه تمام؟
+
+282
+00:23:32,050 --> 00:23:38,970
+إيه شعيتي؟ عقيد؟ حاضر؟ هرجيت؟ هه؟ بدي أمحي؟ ياريت
+
+283
+00:23:38,970 --> 00:23:41,310
+ما قلت تمام
+
+284
+00:23:43,050 --> 00:23:50,890
+work بيساوي F ضد ال S أخدتوه؟ هافظينه بتساوي F في
+
+285
+00:23:50,890 --> 00:23:56,590
+S في cosine الزاوية اللي بينهم صحيح هيك؟ طيب هاي F
+
+286
+00:23:56,590 --> 00:24:04,630
+و هاي S كداش الزاوية اللي بينهم؟ 180 إذاً كل قوة
+
+287
+00:24:04,630 --> 00:24:08,410
+.. لما تكون قوة و إزاحة عكس بعض كداش الزاوية؟ 180
+
+288
+00:24:08,410 --> 00:24:12,850
+أنا قاعد بجيب ليها شبلات لـ Gravityلـ Gravity أنا
+
+289
+00:24:12,850 --> 00:24:16,590
+جسمتها لـ نصين هادي و هادي هجيت هادي بتعمل شغل؟ لأ
+
+290
+00:24:16,590 --> 00:24:19,510
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+291
+00:24:19,510 --> 00:24:19,950
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+292
+00:24:19,950 --> 00:24:21,070
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+293
+00:24:21,070 --> 00:24:21,070
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+294
+00:24:21,070 --> 00:24:21,230
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+295
+00:24:21,230 --> 00:24:33,210
+لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+296
+00:24:33,210 --> 00:24:35,170
+ل
+
+297
+00:24:40,860 --> 00:24:45,140
+اللي هي الـ D طيب، جدّيش الزاوية اللي بينهم؟ وصلت
+
+298
+00:24:45,140 --> 00:24:48,780
+لـ 180 ولا أنتوا تعرفوش أن الـ Pi دي 180؟ أحطها
+
+299
+00:24:48,780 --> 00:24:54,120
+180 تظبط معاكم؟ تمام؟ آه .. تمام الـ Pi والله هي
+
+300
+00:24:54,120 --> 00:25:01,860
+الـ 180 تمام؟ من وين هالـ Pi هذه الـ 3.40؟ في ال
+
+301
+00:25:01,860 --> 00:25:08,240
+degree تمام هذه كده سرعة؟ ثالث واحد صحيح؟ الـ D
+
+302
+00:25:08,240 --> 00:25:15,960
+نصفوالـ M في الـ G 19.6 يعني هو الاتنين في 9.8
+
+303
+00:25:15,960 --> 00:25:19,100
+وصيب السبعة و تلاتين الكمبيوتر بتطلع حاجته اللي
+
+304
+00:25:19,100 --> 00:25:24,440
+بيسوي 1.6 في الآخر تمام؟ طلعتها الكمبيوتر minus 5
+
+305
+00:25:24,440 --> 00:25:34,020
+.88 J غيره ضبطها دي؟ طيب الحمد للههذه ال gravity
+
+306
+00:25:34,020 --> 00:25:39,240
+ليس هذا مش ناسي ال second component of gravity
+
+307
+00:25:39,240 --> 00:25:42,360
+اللي عنديكو صار الزاوية المركبة الأخرى من ال
+
+308
+00:25:42,360 --> 00:25:46,380
+gravity does not do any work ليش؟ since it is
+
+309
+00:25:46,380 --> 00:25:49,420
+perpendicular to the displacement لأن الزاوية بين
+
+310
+00:25:49,420 --> 00:25:53,520
+الرزاحة والقوة تسعين درجة التسعين كيف مكتوب؟ باي
+
+311
+00:25:53,520 --> 00:26:00,720
+عتنين باي عتنين تمام تراجع تمامرجعنا لنفس الرسمة
+
+312
+00:26:00,720 --> 00:26:05,280
+هجيب من دي ال capital F ال capital F شايفينها؟ مع
+
+313
+00:26:05,280 --> 00:26:10,520
+الإزاحة، كدهش اتزاوية؟ كوصين ال zero؟ واحد فجلب
+
+314
+00:26:10,520 --> 00:26:15,120
+تساوي F في دي، يمكن لازم أكتب كوصين ال zero،
+
+315
+00:26:15,120 --> 00:26:21,100
+مظبوط؟ كوصين ال zero؟ one ال F عشري، و ال D نص؟
+
+316
+00:26:21,100 --> 00:26:25,180
+عشر في نص؟ عشرة، تمام؟ حلو
+
+317
+00:26:29,010 --> 00:26:35,140
+القوة الفرقية تستخدمأول ما بيجيبني فرصة في ال
+
+318
+00:26:35,140 --> 00:26:40,260
+friction بقول F of K FK equal to Nu K في ال N و N
+
+319
+00:26:40,260 --> 00:26:45,480
+بيسوي MG كسان الزاوية، مظبوط ولا لأ؟ N بيسوي MG
+
+320
+00:26:45,480 --> 00:26:51,060
+كسان الزاوية و Nu K أعطانيها، فطلعت أول FK، هديت
+
+321
+00:26:51,060 --> 00:26:54,200
+بقول Note that the work done by this friction
+
+322
+00:26:54,200 --> 00:27:02,260
+force is FW تبعتي فاتشين بسوء سالب من كسان ال بيفك
+
+323
+00:27:02,260 --> 00:27:12,060
+في دي فك 3.13 في نص 1.57 يول بالسالب دلنا نشيل ال
+
+324
+00:27:12,060 --> 00:27:18,540
+n و ال n بتعمل الشغل double unit اجمعهم بقول الآن
+
+325
+00:27:18,540 --> 00:27:21,800
+طبعا هي السالب .. بقولك من أين جبتها عشان ما حد
+
+326
+00:27:21,800 --> 00:27:25,040
+يسأل هدو كسان يربعك since the friction and
+
+327
+00:27:25,040 --> 00:27:28,800
+displacement are opposite to each other أي استخصار
+
+328
+00:27:29,720 --> 00:27:35,260
+أجمع عندي تلاتة works scalars بنجمعهم ويجمعهم
+
+329
+00:27:35,260 --> 00:27:40,580
+ويسلبهم المجبر بنجمع والسلب بنجمع تمام فبصير عندى
+
+330
+00:27:40,580 --> 00:27:45,800
+using the work energy theorem دايتا كده بيساوي W
+
+331
+00:27:45,800 --> 00:27:49,880
+net ايش W net؟ تبعت ل gravity وتبعت لcapital F
+
+332
+00:27:49,880 --> 00:27:56,460
+وتبعت لfriction صح ولا لا؟ طيب نجمعهم هادي هيها
+
+333
+00:27:56,460 --> 00:28:01,880
+هاديهيها و الـ friction ده هي جمعنا تجميع الـ
+
+334
+00:28:01,880 --> 00:28:08,300
+scalars طلعت 2.55 جول هذا W نت على الجسم W نت على
+
+335
+00:28:08,300 --> 00:28:12,400
+الجسم الآن بقول Delta K بيسوي K final نقص K
+
+336
+00:28:12,400 --> 00:28:18,520
+initial صحيح ولا لأ؟ إذا K final تمام؟ اللي هي
+
+337
+00:28:18,520 --> 00:28:21,780
+بتسوي Delta K زي K initial وبعدين Delta K إيش
+
+338
+00:28:21,780 --> 00:28:37,750
+بتحط؟ W netفطلعت معايا K final equal 3.75 J أي
+
+339
+00:28:37,750 --> 00:28:44,250
+سؤال؟ سهل، احنا اتفقنا ان هذا ال chapter يا بنات
+
+340
+00:28:45,250 --> 00:28:48,010
+بكرا في شبكة السابعة هتلاقوه مش هتفهم منه شبكة
+
+341
+00:28:48,010 --> 00:28:52,810
+السابعة أعام منه، بحتويه، تمام؟ يعني بحتويه من
+
+342
+00:28:52,810 --> 00:28:57,530
+مين؟ بيقول كل المعلومات أخدتها وشفعت منها لحد
+
+343
+00:28:57,530 --> 00:29:04,570
+تلان، في اي استفسار يا بنات؟ تمام الان ال power
+
+344
+00:29:04,570 --> 00:29:11,510
+إيش معاك power؟ قدرة القدرة ماهياشي القوة، القوة
+
+345
+00:29:11,510 --> 00:29:13,150
+force تمام؟
+
+346
+00:29:15,800 --> 00:29:27,680
+القوة ما هي دعوة من النار دعوة من النار دعوة من
+
+347
+00:29:27,680 --> 00:29:28,060
+النار دعوة من النار دعوة من النار دعوة من النار
+
+348
+00:29:28,060 --> 00:29:28,060
+دعوة من النار دعوة من النار دعوة من النار دعوة من
+
+349
+00:29:28,060 --> 00:29:28,340
+النار دعوة من النار دعوة من النار دعوة من النار
+
+350
+00:29:28,340 --> 00:29:28,340
+دعوة من النار دعوة من النار دعوة من النار دعوة من
+
+351
+00:29:28,340 --> 00:29:31,660
+النار دعوة
+
+352
+00:29:31,660 --> 00:29:39,860
+من النار دعوة من النار دعوة من النارو كل واحد بدى
+
+353
+00:29:39,860 --> 00:29:44,700
+يمشي من هون خلانجور 500 متر و قاعد أقول كده كل
+
+354
+00:29:44,700 --> 00:29:50,520
+واحد بدأ الشغل طبعا؟ المفروض نفس المسافة، إذا نفس
+
+355
+00:29:50,520 --> 00:29:58,060
+الشغل، لأ ما نرجع بسرعة، نفس الشغل، طبعا؟ هلجيت
+
+356
+00:29:58,060 --> 00:30:02,540
+بواحد يقول طيب، مين أسرع؟اللي بدو يوصل قبل .. اللي
+
+357
+00:30:02,540 --> 00:30:06,800
+بدو يوصل قبل لكن كشغل زي بعض مين أسرع إذا إنما
+
+358
+00:30:06,800 --> 00:30:10,160
+أقول مين أسرع دخل .. مين بيصل الجبل؟ دخل الزمن
+
+359
+00:30:10,160 --> 00:30:15,000
+اللي بيصل الجبل بقول عنه أسرع صح أو لأ؟ برجع نجي
+
+360
+00:30:15,000 --> 00:30:20,280
+مثلين حلوين حمار و حصان تعرفوهم؟ تمام بيفرجوا عن
+
+361
+00:30:20,280 --> 00:30:25,140
+بعض؟ من أجوا؟ الحمار و الحصان، برافو عليكم هذي
+
+362
+00:30:25,140 --> 00:30:30,620
+تقولنا نجيبنا حمار قولنا له أحرط هدله، حرطوافي
+
+363
+00:30:30,620 --> 00:30:32,820
+الآخر، إيه يا حصان؟ قلنا له لا تحدّو لمحارته
+
+364
+00:30:32,820 --> 00:30:38,060
+النتيجة، عشان كمان إدّاك نفس الشغل، لكن الحمار ده
+
+365
+00:30:38,060 --> 00:30:41,280
+جعل بتون انهار، الحصان بتساعد يقدس عشان كده بيقول
+
+366
+00:30:41,280 --> 00:30:47,860
+عن الحصان أجوة قدرته أكبرإذن، لما أقعد أشتغل و
+
+367
+00:30:47,860 --> 00:30:52,720
+أدخل عامل الزمن، بيصير في عندي مصطلح يدين، قدرة،
+
+368
+00:30:52,720 --> 00:30:56,980
+كل ما جالي الزمن، إيش بيصيح القدرة؟ بتدين القدرة،
+
+369
+00:30:56,980 --> 00:31:02,120
+لإن الصراحة أنجز، إذا أنا ماتوقع القدرة تكون شغل
+
+370
+00:31:02,120 --> 00:31:06,660
+على زمن، شغل على زمن، عشان أنه يتناسب تناسبا عكسيا
+
+371
+00:31:06,660 --> 00:31:11,800
+مع الزمن، بيقول لي the poweris defined at the time
+
+372
+00:31:11,800 --> 00:31:17,400
+rate at which work is done هو معدل عملي الشغل كده
+
+373
+00:31:17,400 --> 00:31:22,040
+الشغل اللي عمل بسرعة أكتر كل من عمل الشغل بسرعة
+
+374
+00:31:22,040 --> 00:31:28,800
+أكبر بتكون قدرة أكبر بزمن أقلالقوة العاملة ..
+
+375
+00:31:28,800 --> 00:31:32,880
+سأبدأ بالقوة العاملة الآن .. خلال الوقت المقابل في
+
+376
+00:31:32,880 --> 00:31:38,020
+فترة زمانية يُعرف على أن الشغل على الزمن .. الشغل
+
+377
+00:31:38,020 --> 00:31:42,760
+على الزمن .. إذا هذه القوة .. إذا طول ما أنت ..
+
+378
+00:31:42,760 --> 00:31:47,200
+جيتك تفعل إعتبار مين أسرع و مين أستغلق زمن أقل أو
+
+379
+00:31:47,200 --> 00:31:50,900
+أكتر دخل الزمن .. صار عندك كمية نسميها القوة ..
+
+380
+00:31:50,900 --> 00:31:53,820
+القدرة .. طبعا أديكم كمية مثال أكتر .. إن ماعرفوا
+
+381
+00:31:53,820 --> 00:31:57,430
+أنتوا تتدخلوا كتير في هذا الشغل هذا ولا لا ..الـ
+
+382
+00:31:57,430 --> 00:32:00,270
+telephone كل واحد عنده مطور يطلع الميه فوق صحيح
+
+383
+00:32:00,270 --> 00:32:03,890
+ولا لأ؟ كل واحد اللي عنده هالبرميل مطور صغير ولمّا
+
+384
+00:32:03,890 --> 00:32:07,330
+تقرر كبير إذا انت لها البرميل نفس الشغل صح ولا لأ؟
+
+385
+00:32:07,330 --> 00:32:10,430
+لكن الواحد بيجيب مطور كبير ليش؟ عشان ينفعز في نهار
+
+386
+00:32:10,430 --> 00:32:13,830
+يعبّي الميه صح ولا لأ؟ إذا في الآخر لما دخل الزمن
+
+387
+00:32:13,830 --> 00:32:17,050
+عشان كده بيقولوا المطور هذا أحصان و الأحصان نص صح
+
+388
+00:32:17,050 --> 00:32:21,870
+ولا لأ؟ إذا داخل ليش؟ القدرة .. القدرة .. كل مكان
+
+389
+00:32:21,870 --> 00:32:26,360
+يعني لما يكون عالي كتير بيقولك بيت أحصان كبيرصحيح؟
+
+390
+00:32:26,360 --> 00:32:29,560
+و كل ما كانت البراميل كتيرة فوق، بدي برضه المطلوب
+
+391
+00:32:29,560 --> 00:32:33,140
+يكون قدرته أعلى، عشان يخلص و الميه ما تجي ناشر 24
+
+392
+00:32:33,140 --> 00:32:35,820
+ساعة، ما تجي ناشر إلى ساعتين أو تلاتة أو تقطع،
+
+393
+00:32:35,820 --> 00:32:40,880
+وبالتالي بدي ألحق أعمل براميلي فوق، وبالتالي بدي
+
+394
+00:32:40,880 --> 00:32:45,680
+قدرة، بدي أعمل زمن يدخل عندىفبتصير أحكاية طبعا
+
+395
+00:32:45,680 --> 00:32:49,720
+إحصان .. عشان كده أنا جاي بتحمره إحصان لإن الإحصان
+
+396
+00:32:49,720 --> 00:32:54,560
+مرتبط بأحد و إحداد القدرة لكن هذا بالنظام
+
+397
+00:32:54,560 --> 00:32:59,080
+البريطاني أما إحنا عندنا الواقع تمام الان هذه
+
+398
+00:32:59,080 --> 00:33:05,980
+البوابة هذه كمية جديدة force أخدنا work أخدنا
+
+399
+00:33:10,840 --> 00:33:14,560
+اللي قدر الـ Power شغل على زمن، الزمن scalar ولا
+
+400
+00:33:14,560 --> 00:33:16,740
+vector؟ Scalar. Scalar. Scalar. Scalar. Scalar.
+
+401
+00:33:16,740 --> 00:33:18,440
+Scalar. Scalar. Scalar. Scalar. Scara. Scara.
+
+402
+00:33:19,280 --> 00:33:23,060
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+403
+00:33:23,280 --> 00:33:24,880
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+404
+00:33:25,000 --> 00:33:28,300
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+405
+00:33:28,300 --> 00:33:28,300
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+406
+00:33:28,300 --> 00:33:28,300
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+407
+00:33:28,300 --> 00:33:28,300
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+408
+00:33:28,300 --> 00:33:28,500
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+409
+00:33:28,500 --> 00:33:31,980
+Scara. Scara. Scara. Scara. Scara. Scara. Scara.
+
+410
+00:33:32,620 --> 00:33:36,240
+Scالـ Power .. انتوا عارفين اللحظة دايما بنخلّي
+
+411
+00:33:36,240 --> 00:33:39,900
+الفترة الزمنية لحظة .. تمام؟ وهذه عبارة عن تفاضل
+
+412
+00:33:39,900 --> 00:33:45,120
+الشغل بالنسبة للزمن .. تمام؟ انكمل و بعدين يجيب
+
+413
+00:33:45,120 --> 00:33:48,300
+الوحدات .. طيب، قولي انت F .. انا ال work هذه و لا
+
+414
+00:33:48,300 --> 00:33:53,140
+بعرفه .. مصبوط؟ و عرفنا انه F ضد ال DS .. ولا لأ؟
+
+415
+00:33:53,140 --> 00:33:58,300
+جالي .. if F is constant .. then .. DWU بسوي F ضد
+
+416
+00:33:58,300 --> 00:34:03,080
+ال DS .. صح؟على أفاس أن هذه الـ constant أخرجتها و
+
+417
+00:34:03,080 --> 00:34:07,220
+بدأت تتكامل و بدأت تتضغط كذلك فبصيب الـ power التي
+
+418
+00:34:07,220 --> 00:34:12,780
+تساوي dw على dt فconstant فاتبعها دي اس على دي تي
+
+419
+00:34:12,780 --> 00:34:18,360
+مش هي سرعة is an F ضد ال V طبعا F ضد ال V is a
+
+420
+00:34:18,360 --> 00:34:22,140
+scalar product النتيجة scalar متغيرات فيقولوا أن
+
+421
+00:34:22,140 --> 00:34:26,420
+القدرة اللحظية هي القوة في الصرحة في هذه اللحظة
+
+422
+00:34:26,420 --> 00:34:32,460
+تعطيك القدرة اللحظية تمامهذه الفيديو The unit of
+
+423
+00:34:32,460 --> 00:34:38,160
+power is جول على second جالي جول وهناشي second لكن
+
+424
+00:34:38,160 --> 00:34:42,580
+برضه كمان مرة هذه من الوحدات التجارية المشهورة
+
+425
+00:34:42,580 --> 00:34:48,040
+عشان كده دوها وحدة اللي هي الوقت طبعا انتوا لما
+
+426
+00:34:48,040 --> 00:34:49,680
+تيجي تطلعوا القدرة
+
+427
+00:34:52,360 --> 00:34:57,680
+في حد عمره دفع أو شاف فطورة الكهربا تبعته؟
+
+428
+00:34:57,680 --> 00:35:02,220
+بيسحب في الظهر، ميبقى عم ماجدش بيسحب؟ في الظهر،
+
+429
+00:35:02,220 --> 00:35:06,140
+انتوا مابتديوكوش اليوم؟ مابتديوكم فطورة ولا سهر؟
+
+430
+00:35:06,140 --> 00:35:11,320
+مابتديش فلوس؟ مابتديوا جديش كيلو أفقع، جديد
+
+431
+00:35:14,960 --> 00:35:20,520
+220 معقولة فكرت تقول 22 220 إيش بيكون مكتوب جنبها
+
+432
+00:35:20,520 --> 00:35:25,440
+بيكون
+
+433
+00:35:25,440 --> 00:35:27,660
+يا بنات كل واحدة تروح و تحضرها و تشوف الفطورة
+
+434
+00:35:27,660 --> 00:35:31,840
+بيكون مكتوب تسحب kilowatt hour kilowatt مكتوبة في
+
+435
+00:35:31,840 --> 00:35:35,160
+hour هذه kilowatt hour واحدة إيش
+
+436
+00:35:38,720 --> 00:35:45,660
+وحدة الطاقة لأن ال وات قدرة فوات في زمن .. إيش بدي
+
+437
+00:35:45,660 --> 00:35:50,240
+.. بدي جول يعني هذا ممكن أحولها لجول فهذه كيلو وات
+
+438
+00:35:50,240 --> 00:35:54,620
+في زمن هي وحدة الطاقة فهذه هي الوحدة التجارية
+
+439
+00:35:54,620 --> 00:35:59,880
+للطاقة الكهربائية لسهلكها البيت تبعكم خلال شهربس
+
+440
+00:35:59,880 --> 00:36:03,120
+هم .. يعني ممكن نحاولها عجول في السهلة ال kilowatt
+
+441
+00:36:03,120 --> 00:36:06,280
+بنحاولها ل watt و لو ال hour بنحاولها ل second
+
+442
+00:36:06,280 --> 00:36:10,560
+بتطلع جول هي بصير جول جديش لكن الواحد اللي متعرف
+
+443
+00:36:10,560 --> 00:36:15,380
+عليها اللي هي التجارية اللي بيحسبه جديش فلوس و
+
+444
+00:36:15,380 --> 00:36:18,800
+حاجة ال kilowatt hour الواحد عندنا في غزة حوالي نص
+
+445
+00:36:18,800 --> 00:36:24,500
+شكل حوالي نص شكل وبالتالي ال 220 بتطلع حوالي 210
+
+446
+00:36:24,500 --> 00:36:28,220
+شكل في الشهر تمام؟ ف ..
+
+447
+00:36:31,280 --> 00:36:37,000
+تمام. طب عن أيه جاب القدرة ال mechanical بالقدرة
+
+448
+00:36:37,000 --> 00:36:42,240
+الكهربائية؟ نفس الشيء يا بنات لأنه الكهربا هو
+
+449
+00:36:42,240 --> 00:36:45,960
+عماله بيرفع شحنات من مكان لمكان زي اللي بيرفع
+
+450
+00:36:45,960 --> 00:36:49,640
+الميه زي اللي بيرفع الحجر كل حاجة نفس القضية
+
+451
+00:36:49,640 --> 00:36:54,400
+وبالتالي عشان أنا أجيب طيار كهربائي ويمشي في داري
+
+452
+00:36:54,400 --> 00:36:59,190
+بدي أرفعشحنات لأن القيار هي السائل من الشحنات،
+
+453
+00:36:59,190 --> 00:37:02,570
+مظبوط ولا لا؟ إذا لازم أجبر شحنات تتحرك وبالتالي
+
+454
+00:37:02,570 --> 00:37:06,690
+لابد إنه بدي قدرة وتحسب القدرة مع ال energy عشان
+
+455
+00:37:06,690 --> 00:37:13,050
+كده بيقولوا كل لمبة من هدول 40 مواطكل لمبة من هدول
+
+456
+00:37:13,050 --> 00:37:18,270
+اربعين واط ولمّا شقل صلنا ال بي ألز و ال UPS
+
+457
+00:37:18,270 --> 00:37:23,150
+هوانهم ل بي ألز صح ولا لأ عشان نسحب أكتر لإن ال بي
+
+458
+00:37:23,150 --> 00:37:26,670
+ألز من الأربعين ممكن توصل لعشرين او اتنين و عشرين
+
+459
+00:37:26,670 --> 00:37:30,910
+وبعد ال بي ألات طلع حاجة جديدة اسمها اللدات اللد
+
+460
+00:37:30,910 --> 00:37:36,670
+خمسة واط يعني كل خمسة .. شوفوا الخمسة .. كل تمام
+
+461
+00:37:36,670 --> 00:37:42,920
+لدات تساوي نين واحدكل 8 لمبات LED وخمسة لطن نيحة
+
+462
+00:37:42,920 --> 00:37:47,640
+أي نار اطلع معقول يعني بتضوي بتضوي غرفة نيحة كل 8
+
+463
+00:37:47,640 --> 00:37:52,470
+لمبات LEDبساوي نيون واحد زمان كانوا يقولوا نيون
+
+464
+00:37:52,470 --> 00:37:56,750
+بيسحبش مقارنة باللمبات الجديمة الجديمة كانت ميت
+
+465
+00:37:56,750 --> 00:38:02,270
+وقت لحالها و نرقها حتى مش حلوة فهجيت أجال لمبات
+
+466
+00:38:02,270 --> 00:38:06,410
+بيسحبوا كهربا هم اللي بيسموها ال LED ال LED هذه
+
+467
+00:38:06,410 --> 00:38:10,450
+بين خمسة إلى عشرة واط و العشرة واط يعني ربع نيون
+
+468
+00:38:11,440 --> 00:38:16,060
+طبعا كل معنى جلالة ال واط معناته بالساعة هذه
+
+469
+00:38:16,060 --> 00:38:23,640
+الخمسة واط، كل ساعة تسحبلي خمسة واط ساعة، خمسة واط
+
+470
+00:38:23,640 --> 00:38:28,540
+ساعة عشان برضه تحسبوا ساعةالـ kettle اللي هناك
+
+471
+00:38:28,540 --> 00:38:31,520
+اللي بيعملوا فيه الشاي الـ kettle اللي شايفينه هذا
+
+472
+00:38:31,520 --> 00:38:36,760
+اللي أغلبكم عنده زيه هذا لو تتطلعوا ورق يكون مكتوب
+
+473
+00:38:36,760 --> 00:38:41,320
+عليه 220 ورق يعني حوالي أكتر من 2 كيلو
+
+474
+00:38:44,580 --> 00:38:48,600
+متين وعشرين ولا أكتر؟ متين وعشرين واط يعني two
+
+475
+00:38:48,600 --> 00:38:52,820
+point two kilowatt يعني two point two kilowatt
+
+476
+00:38:52,820 --> 00:38:57,160
+يعني إيش معناته؟ كل ساعة بروح بسحب على عداد تبعكم
+
+477
+00:38:57,160 --> 00:39:02,560
+اتنين point two kilowatt hour كل ساعة طبعا لو ظلوا
+
+478
+00:39:02,560 --> 00:39:06,060
+شغال، ماعنته اربع عشرين في تلاتين، معناته أكلته
+
+479
+00:39:06,060 --> 00:39:11,140
+هوا، طبعا؟ لأنه بسحب كتير يا عقاب، لزميزته إنه أنا
+
+480
+00:39:11,140 --> 00:39:16,780
+بشغله الساعةصحيح ولا لا؟ بسقلوا مدة أبسط .. الجوق
+
+481
+00:39:16,780 --> 00:39:21,580
+يا بنات، لو أنا بدي أروح الوقت، أرجحها لوحداتها
+
+482
+00:39:21,580 --> 00:39:25,800
+الأساسية، بنرجع لأول محاضرة، بقول الوحدات الأساسية
+
+483
+00:39:25,800 --> 00:39:33,400
+تلاتةطول و زمان انا اقول الجول ع سكن طب الجول مش
+
+484
+00:39:33,400 --> 00:39:39,400
+هو حكينا هو عبارة عن كتلة هي سرعة تربيع نص MV
+
+485
+00:39:39,400 --> 00:39:45,360
+تربيع فكتلة سرعة تربيع يعني متر ع سكن تربيع وفي
+
+486
+00:39:45,360 --> 00:39:50,900
+كمان سكن يعني هذه الجول هي نص MV تربيع هذه كيلو
+
+487
+00:39:50,900 --> 00:39:55,220
+جرام و هذه متر ع سكن تربيع و في واحد ع سكن طلعت
+
+488
+00:39:55,220 --> 00:39:59,960
+هذهصحيح ولا لأ؟ ف كيلوجرام مثل تربيه، سك التربيه و
+
+489
+00:39:59,960 --> 00:40:06,060
+سك التكعيب فهذه الوحدة الأساسية تبع الوا بدلالة
+
+490
+00:40:06,060 --> 00:40:10,320
+الكميات التلاتة الأساسية في علم الميكانيكا اللي هم
+
+491
+00:40:10,320 --> 00:40:13,400
+ال mass و ال distance و الزمن
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/eNmipnTBxvI_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/eNmipnTBxvI_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..f74a0d9f721a0af37aba170e17c93bb9f7418b7d
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/eNmipnTBxvI_raw.json
@@ -0,0 +1 @@
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أقصقي معيلها، إذاً A is the amplitude طيب، حلو، إيش هذه وحدتها؟ متر، طب وإيش هذه وحدتها؟ متر، إذا هذا الكلام صحيح، معناته ما تبقى ممنوع كل وحدات، صحيح هيك؟ تمام، إيش هذا الـT، هذي الشيء؟ زمان", "tokens": [55, 39896, 11933, 11622, 39319, 3660, 316, 5551, 4587, 9381, 38436, 20449, 26895, 11296, 12399, 11933, 15730, 14111, 316, 307, 264, 27433, 23032, 1829, 3555, 12399, 11331, 1211, 2407, 12399, 11933, 1829, 8592, 29538, 4032, 24401, 2655, 11296, 22807, 44650, 2288, 12399, 23032, 3555, 4032, 28814, 1829, 8592, 29538, 4032, 24401, 2655, 11296, 22807, 44650, 2288, 12399, 11933, 15730, 23758, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 12399, 20449, 8315, 47395, 19446, 6055, 3555, 4587, 7578, 3714, 27842, 45367, 28242, 4032, 24401, 9307, 12399, 20328, 5016, 1829, 5016, 39896, 4117, 22807, 46811, 10943, 12399, 11933, 1829, 8592, 23758, 2423, 39184, 51, 12399, 8032, 8848, 1829, 25124, 1829, 38207, 22807, 30767, 2304, 7649], "avg_logprob": -0.24681969026548672, "compression_ratio": 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551.45, "end": 551.79, "word": " Omega", "probability": 0.50244140625}, {"start": 551.79, "end": 552.15, "word": " هذه", "probability": 0.681640625}, {"start": 552.15, "end": 553.03, "word": " هي", "probability": 0.85693359375}, {"start": 553.03, "end": 553.81, "word": " التردد", "probability": 0.91845703125}, {"start": 553.81, "end": 554.15, "word": " او", "probability": 0.6751708984375}, {"start": 554.15, "end": 554.55, "word": " ال", "probability": 0.4140625}, {"start": 554.55, "end": 554.89, "word": " angular", "probability": 0.425537109375}, {"start": 554.89, "end": 555.71, "word": " frequency", "probability": 0.96484375}, {"start": 555.71, "end": 556.61, "word": " اللي", "probability": 0.766357421875}, {"start": 556.61, "end": 556.93, "word": " هي", "probability": 0.93994140625}, {"start": 556.93, "end": 557.41, "word": " angular", "probability": 0.466064453125}, {"start": 557.41, "end": 557.87, "word": " velocity", "probability": 0.7880859375}, {"start": 557.87, "end": 558.07, 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بحسب عدنا بنشوفها Where A, Omega and Delta are constant هم بالاصل رياضيا Constants هجتش معناه من فيزيا A بدينا A is the amplitude of the motion، هي السعة تحت ال motion، اتفقنا Omega is the angular frequency، السرعة الزاوية اللي كنا سميها، اللي لها علاقة بال V، V على R", "tokens": [3555, 3794, 3714, 43020, 6055, 3794, 995, 45865, 20328, 5172, 2288, 12399, 3714, 43020, 6055, 3794, 995, 45865, 6905, 11778, 47341, 3660, 12399, 4724, 5016, 35457, 6225, 3215, 8315, 4724, 1863, 8592, 38688, 11296, 2305, 316, 11, 27645, 293, 18183, 366, 5754, 8032, 2304, 20666, 33546, 1211, 12602, 1829, 46958, 25528, 8574, 1719, 8032, 7435, 2655, 8592, 20449, 8315, 3224, 9154, 8978, 11622, 25528, 316, 4724, 16254, 8315, 316, 307, 264, 27433, 295, 264, 5394, 12399, 39896, 21136, 27884, 6055, 33753, 2423, 5394, 12399, 1975, 2655, 5172, 4587, 8315, 27645, 307, 264, 24413, 7893, 12399, 21136, 2288, 27884, 6024, 110, 995, 2407, 10632, 13672, 1829, 9122, 8315, 8608, 2304, 1829, 11296, 12399, 13672, 1829, 5296, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/eq_7S4NIieI_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/eq_7S4NIieI_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3578a47983f1c8ef6f87559826155ffd2e50e713
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/eq_7S4NIieI_postprocess.srt
@@ -0,0 +1,1640 @@
+1
+00:00:20,700 --> 00:00:24,080
+بنكمل بسم الله الرحمن الرحيم اليوم من أن نخلص ال
+
+2
+00:00:24,080 --> 00:00:30,340
+chapter بدأنا بتعريف ال linear momentum واتفقنا
+
+3
+00:00:30,340 --> 00:00:35,220
+احنا وياكم ان ال linear momentum is defined to be
+
+4
+00:00:35,220 --> 00:00:40,600
+mass multiplied by velocity تمام؟ اهديوا يا بنات
+
+5
+00:00:40,600 --> 00:00:46,380
+عشان تسمعوا بعض تمام، اذا ال linear momentum اللي
+
+6
+00:00:46,380 --> 00:00:51,760
+رمزها Pof a particle of mass m moving with
+
+7
+00:00:51,760 --> 00:00:55,460
+velocity v is defined as .. إذا التعريف اللي عندي
+
+8
+00:00:55,460 --> 00:01:00,580
+إنه linear momentum equal mass multiplied by
+
+9
+00:01:00,580 --> 00:01:04,840
+velocity عشان ال velocity is a vector quantity،
+
+10
+00:01:04,840 --> 00:01:08,820
+بالتالي ال momentum أيضًا is a vector quantity
+
+11
+00:01:08,820 --> 00:01:12,960
+تمام، الوحدة تبعك ال momentum ما لهاش وحدة خاصة
+
+12
+00:01:12,960 --> 00:01:17,280
+بيها التتقنة، وهي kilogram, meter per, second من
+
+13
+00:01:17,280 --> 00:01:24,130
+القانون نفسهتمام، الآن نعيد
+
+14
+00:01:24,130 --> 00:01:29,210
+كتابة قانون نيوتن بدلالة الـlinear momentum قانون
+
+15
+00:01:29,210 --> 00:01:33,390
+نيوتن التاني اللي بيقول الـsummation of the force
+
+16
+00:01:33,390 --> 00:01:38,050
+acting on a body equal mass multiplied by
+
+17
+00:01:38,050 --> 00:01:42,610
+acceleration الـacceleration همعرفها إنها the
+
+18
+00:01:42,610 --> 00:01:47,130
+derivative of V with respect to Tهيتهدى الـ M
+
+19
+00:01:47,130 --> 00:01:51,030
+عشانها constant لحالتي ممكن أدخلها دوا التكامل
+
+20
+00:01:51,030 --> 00:01:56,090
+فبصير D على DT M في D الكمية اللي بين الجثة هي
+
+21
+00:01:56,090 --> 00:02:00,270
+نفسها B هي الـ Linear Momentum فصار قانون يوتيون
+
+22
+00:02:00,270 --> 00:02:04,690
+التالي يُكتب إن الـ Total Force بيساوي The
+
+23
+00:02:04,690 --> 00:02:07,850
+derivative of the Linear Momentum with respect to
+
+24
+00:02:07,850 --> 00:02:12,210
+Time بمعنى آخر معدّل تغير الـ Linear Momentum
+
+25
+00:02:12,210 --> 00:02:17,150
+بالنسبة للزمنهو بساوي مجموع القوة التي تؤثر على
+
+26
+00:02:17,150 --> 00:02:21,330
+الجسم هذا هو الصيغة الأعام لقانون الـ Newton
+
+27
+00:02:21,330 --> 00:02:28,330
+التاني أعام من F بساوي M في A F بساوي DP على DT
+
+28
+00:02:28,330 --> 00:02:35,010
+تمامأحنا موضوعنا في هذا الفيديو كيف نتعامل مع نظام
+
+29
+00:02:35,010 --> 00:02:39,470
+من الكتل مش كتلة واحدة System of Particles طيب و
+
+30
+00:02:39,470 --> 00:02:44,050
+احنا متفقين لكل حاجة عشان انت تجيب الكتلة كلية هي
+
+31
+00:02:44,050 --> 00:02:47,740
+مجموعة الكتل صحيح ولا لا؟لما بدأ أجيب ال linear
+
+32
+00:02:47,740 --> 00:02:51,300
+momentum لكل system، بقول بجيب ال momentum لكل
+
+33
+00:02:51,300 --> 00:02:55,860
+واحد على حدة، وبعدين بجمعهم، هذي شغلانة منطقية،
+
+34
+00:02:55,860 --> 00:02:59,160
+فبقول لي for a system of particles، عندك أجد
+
+35
+00:02:59,160 --> 00:03:02,990
+particlesEach with its own mass and its velocity
+
+36
+00:03:02,990 --> 00:03:06,530
+كل واحد صراعته معروفة و كترته معروفة The linear
+
+37
+00:03:06,530 --> 00:03:09,870
+momentum capital P of the system يعني capital P هي
+
+38
+00:03:09,870 --> 00:03:14,850
+ال total momentum تمام As a whole is the vector
+
+39
+00:03:14,850 --> 00:03:18,590
+sum هو المجموع .. المجموع بس عشان تتعامل مع
+
+40
+00:03:18,590 --> 00:03:22,830
+vectors مجدد مع الجميع اتجاهي The vector sum of
+
+41
+00:03:22,830 --> 00:03:25,910
+linear momentum of each particle individually يعني
+
+42
+00:03:25,910 --> 00:03:31,010
+المنطق بيقول انهبتجمع بي واحد والتانية والتالتة
+
+43
+00:03:31,010 --> 00:03:39,050
+والرابعة لما تقلص تمام هذه هي M1 V1 هذه M2 V2 وهذه
+
+44
+00:03:39,050 --> 00:03:44,390
+كذا وكذا وبنعمل ال summation فبصير M1 V1 زائد M2
+
+45
+00:03:44,390 --> 00:03:51,610
+V2 واستعاد معاهم بال summation MIVI تمام هذه شغلة
+
+46
+00:03:51,610 --> 00:04:00,130
+مطيقيةالمرة هذه اشتقنا احنا وياكم ان MIVI بيتساوي
+
+47
+00:04:00,130 --> 00:04:03,730
+M capital V center of mass جيبناها من المعادلة
+
+48
+00:04:03,730 --> 00:04:09,210
+التالية بقولنا R center of mass بيتساوي summation
+
+49
+00:04:09,210 --> 00:04:15,770
+ل MIRI على capital M ذاكرين هو هذا القانون؟ تلاتة
+
+50
+00:04:15,770 --> 00:04:19,110
+وبالتالي لما ضربنا درب تبادلي بقولنا هادي جيبها
+
+51
+00:04:19,110 --> 00:04:25,970
+وحطها هنابعدين قلنا هيا نشتق بالنسبة للزمن اشتقنا
+
+52
+00:04:25,970 --> 00:04:29,110
+قلنا M ايش اشتقاق R center of mass و V center of
+
+53
+00:04:29,110 --> 00:04:38,150
+mass تمام M I ايش اشتقاق R I V I اذا هذه بده حط
+
+54
+00:04:38,150 --> 00:04:42,950
+محلها اللي هي هذه بده حط محلها capital M V center
+
+55
+00:04:42,950 --> 00:04:51,210
+of mass تمام اذا صار عندي capital Pبتساوي capital
+
+56
+00:04:51,210 --> 00:04:55,930
+M و capital M الشيها دي بجموع الكتلات ال total
+
+57
+00:04:55,930 --> 00:04:59,590
+mass في this center of mass إذا خلاصة هذا
+
+58
+00:04:59,590 --> 00:05:02,150
+القانونيش بتقول بتقول انت عشان تجيب ال total
+
+59
+00:05:02,150 --> 00:05:05,470
+momentum بدل ما تجيب ال momentum لكل واحدة على حده
+
+60
+00:05:05,470 --> 00:05:11,070
+تجيب سرعت ال center of mass اضربها في الكتلةالكلية
+
+61
+00:05:11,070 --> 00:05:14,230
+تنهي القضية بدل ما تجيبك واحدة واحدة واحدة واحدة
+
+62
+00:05:14,230 --> 00:05:18,170
+بس المهم تعرف انه جدّي السرعة ال center of mass
+
+63
+00:05:18,170 --> 00:05:24,710
+بالظبط تطلع معاك النتيجة طبعا جانا تفضلي الان
+
+64
+00:05:24,710 --> 00:05:29,990
+المعادلة اللي انت جبتها اللي هي هذه بدي افضلها
+
+65
+00:05:29,990 --> 00:05:33,700
+بالنسبة للزمنمش هتطلع عندك dv center of mass على
+
+66
+00:05:33,700 --> 00:05:38,740
+dt اللي هي a center of mass وهذه dp على dt تمه
+
+67
+00:05:38,740 --> 00:05:46,060
+اشتقنها بالنسبالي زمان طلعت هي تمه وبتساوي m a
+
+68
+00:05:46,060 --> 00:05:49,720
+center of mass هذه أنا وياكم خدنا وحلينا عليها
+
+69
+00:05:49,720 --> 00:05:54,360
+مثلين بتساوي مجموع القوى ال external صح ولا لأ
+
+70
+00:05:54,360 --> 00:05:58,360
+الخارجية فقط اللي حلينا عليها المثلين إذا هذه ال F
+
+71
+00:05:58,360 --> 00:06:05,800
+external إذاF External بيساوي DP على DT إذا المعدل
+
+72
+00:06:05,800 --> 00:06:10,420
+تغير كمية التحرك الكلية بتساوي مجموع القوة
+
+73
+00:06:10,420 --> 00:06:14,120
+الخارجية فقط لما تحكي انت عن كل مالكاي دعوة بالقوة
+
+74
+00:06:14,120 --> 00:06:16,700
+الداخلية انا بتدعوها بالقوة الخارجية
+
+75
+00:06:18,840 --> 00:06:22,580
+أول حاجة، طيب نيجي لشغل اسمها الـ Conservation of
+
+76
+00:06:22,580 --> 00:06:25,640
+Linear Momentum وقتش الـ Linear Momentum بتكون
+
+77
+00:06:25,640 --> 00:06:29,560
+ثابتة، Conserved، محفوظة محفوظة يعني ثابتة، لا
+
+78
+00:06:29,560 --> 00:06:33,240
+بتزيد ولا بتخس، هاي معنات محفوظة ولا بتزيد ولا
+
+79
+00:06:33,240 --> 00:06:38,920
+بتخس يعني معناته Constant Conserved، محفوظة، جانب
+
+80
+00:06:38,920 --> 00:06:45,910
+بسيط هاي القانون تبقى، وقتش بيه بتكون Constantلما
+
+81
+00:06:45,910 --> 00:06:51,730
+يكون مشتقتها كم؟ صفر، صفر، صفر، صفر، صفر، صفر،
+
+82
+00:06:51,730 --> 00:06:51,830
+صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر،
+
+83
+00:06:51,830 --> 00:06:53,530
+صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر،
+
+84
+00:06:53,530 --> 00:07:00,790
+صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر، صفر،
+
+85
+00:07:00,790 --> 00:07:11,330
+صفر، صفر، صفر، صفر، صفر، صفر، صفر،
+
+86
+00:07:11,330 --> 00:07:15,250
+ص
+
+87
+00:07:15,340 --> 00:07:19,580
+أنت مظبوط أو لا؟ تشعلها قوة خارجية if a system is
+
+88
+00:07:19,580 --> 00:07:25,200
+isolated يعني is that is the resultant external
+
+89
+00:07:25,200 --> 00:07:28,580
+force acting on the system is zero أي معناه
+
+90
+00:07:28,580 --> 00:07:34,440
+isolated بكل ساعتها f external بتسوي zero يعني dP
+
+91
+00:07:34,440 --> 00:07:40,740
+على dt بتسوي zero إذا P is constantفيش مشكلة إيش
+
+92
+00:07:40,740 --> 00:07:43,920
+معناه بيه constant؟ يعني فيه فرق بين الـinitial و
+
+93
+00:07:43,920 --> 00:07:48,340
+الـfinal؟ لأ، يعني فيه initial سوى الـfinal تم ..
+
+94
+00:07:48,340 --> 00:07:53,120
+إذا for an isolated system the linear momentum of
+
+95
+00:07:53,120 --> 00:07:57,460
+the system at any initial point equal to the
+
+96
+00:07:57,460 --> 00:08:00,540
+linear momentum at a final point هذه واقعية، عند
+
+97
+00:08:00,540 --> 00:08:06,090
+أي نقطين لازم تساوي؟طيب قال لي طيب هذه طبعا هذه
+
+98
+00:08:06,090 --> 00:08:10,130
+بول يعني أصلا هي هيك صح ولا لأ؟ وهذه عبارة عن عيقة
+
+99
+00:08:10,130 --> 00:08:17,470
+مركبة تلاتة مظبوط ولا لأ؟ لأن هذه القانون بجسمه
+
+100
+00:08:17,470 --> 00:08:21,610
+تلات قوانين واحد صيني واحد صدي وواحد عيني لو
+
+101
+00:08:21,610 --> 00:08:26,990
+الصيني القوة الصينية هي السفر بس إذا أي momentum
+
+102
+00:08:26,990 --> 00:08:32,300
+بتكون conservative؟ الصينيةتمام؟ إذا القوة
+
+103
+00:08:32,300 --> 00:08:35,520
+الصادرية هي السفر، معناته، الـ momentum الصادر هو
+
+104
+00:08:35,520 --> 00:08:39,500
+اللي بيكون constant، و هكذا، يعني مافيش داعي أن
+
+105
+00:08:39,500 --> 00:08:42,500
+أكون القوة كلها zero عشان أكون ال momentum
+
+106
+00:08:42,500 --> 00:08:46,780
+conserved، حسب المراكبة، القوة المراكبة معينة
+
+107
+00:08:46,780 --> 00:08:49,780
+zero، إذا ال momentum في هذه المراكبة بيكون
+
+108
+00:08:49,780 --> 00:08:58,910
+constant، conserved، بقول ليإذا كان فقط واحد مجلد
+
+109
+00:08:58,910 --> 00:09:03,090
+من طاقة الإجتماعية التي تعمل على نظام من خلال
+
+110
+00:09:03,090 --> 00:09:08,470
+أكسيز نهائية فإذا كان فقط واحد مجلد من طاقة
+
+111
+00:09:08,470 --> 00:09:11,280
+الإجتماعية التي تعمل على نظامof the system along
+
+112
+00:09:11,280 --> 00:09:15,320
+that axis إذا المركبة الممنطن في ذاك ال axis is
+
+113
+00:09:15,320 --> 00:09:18,300
+constant only the other two components in this
+
+114
+00:09:18,300 --> 00:09:21,380
+case is not constant مش بالضرورة يكونوا constant
+
+115
+00:09:21,380 --> 00:09:26,100
+يجب أن نكون مركبة على حدة لأن مرات حد نحن نشوف أن
+
+116
+00:09:26,100 --> 00:09:30,520
+ال external force باتجاه معين هي سفر لكن باتجاه
+
+117
+00:09:30,520 --> 00:09:34,920
+تاني مش سفر وبالتالي بناء عليها ابن الشغل نشوف هذا
+
+118
+00:09:34,920 --> 00:09:40,060
+المثالإذا برضه كمان احنا قاعدين بنركز على نفسي
+
+119
+00:09:40,060 --> 00:09:43,860
+المبدأ اللي يتطلع على القوة الخارجية القوة
+
+120
+00:09:43,860 --> 00:09:48,520
+الداخلية إنها دعوة؟ لا هي دعوة تمام، في مثال كلكم
+
+121
+00:09:48,520 --> 00:09:53,960
+بتعرفه أو الواحد بيعرفه إنه دائما الصح الواحد لما
+
+122
+00:09:53,960 --> 00:10:00,450
+يحامل شغلة جيلة و بديه يخبطها، برجعصح ولا لأ؟ بخبط
+
+123
+00:10:00,450 --> 00:10:06,030
+لازم يرجع والمثال الأشهر بيقول لي عندي اكانون of
+
+124
+00:10:06,030 --> 00:10:11,710
+mass 2000 kilogram rest on a smooth horizontal
+
+125
+00:10:11,710 --> 00:10:16,830
+surface عندي عربة مدفع هذه عربة المدفع وكتلتها
+
+126
+00:10:16,830 --> 00:10:23,230
+2000 kilogram اللي مرسوبة عندكم بتقظفقضيفة تمام
+
+127
+00:10:23,230 --> 00:10:29,110
+The cannon fires horizontally ضربة أطلقة بشكل أفقي
+
+128
+00:10:29,110 --> 00:10:34,290
+a ball of mass 25 kilogram with a speed of 75
+
+129
+00:10:34,290 --> 00:10:38,150
+meter per second relative to the air راح ضربة
+
+130
+00:10:38,150 --> 00:10:43,110
+قضيفة كتلة 25 kilogram بسرعة محدودة 75 meter per
+
+131
+00:10:43,110 --> 00:10:47,210
+secondتمام .. حلو .. ايش بده .. what is the
+
+132
+00:10:47,210 --> 00:10:49,750
+velocity of the cannon just after it fires the
+
+133
+00:10:49,750 --> 00:10:51,710
+bullet .. كل ساعة اطلاقات .. فايتبع انت تشوف
+
+134
+00:10:51,710 --> 00:10:55,570
+العربة .. ايش ماتوقع في العربة .. ترجع لورا ..
+
+135
+00:10:55,570 --> 00:10:59,270
+مظبوط ولا لا .. تشوف ليش ترجع لورا .. احنا عنا ..
+
+136
+00:11:00,380 --> 00:11:03,600
+إيجي حد من برا خبط .. جاب القذيفة و ضربها و أنا
+
+137
+00:11:03,600 --> 00:11:09,260
+أضربك من جوا .. أضربك من جوا .. إذا قوة القذف هي
+
+138
+00:11:09,260 --> 00:11:11,780
+قوة خارجية ولا داخلية؟ داخلية .. داخلية .. داخلية
+
+139
+00:11:11,780 --> 00:11:14,940
+.. إذا المفروض أن نكون ال momentum conserved
+
+140
+00:11:14,940 --> 00:11:18,480
+باتجاه الصيني مافيش قوة إيجي واحد نفق عليها
+
+141
+00:11:18,480 --> 00:11:22,910
+القذيفة من برا، لأ، هي لحالة القذفةتمام؟ يعني هو
+
+142
+00:11:22,910 --> 00:11:27,030
+.. هو .. أقرب مثال المراهديك حاكته طالب و احنا
+
+143
+00:11:27,030 --> 00:11:30,490
+طالعين المحاضرة على القوة الداخلية و الخارجية ..
+
+144
+00:11:30,490 --> 00:11:33,890
+تعرفوا السيارة أنتم؟ كنا نعرف السيارة .. تمام؟
+
+145
+00:11:33,890 --> 00:11:37,890
+السيارة الواحد بدرب الهدى و بشغل موتور السيارة ..
+
+146
+00:11:37,890 --> 00:11:41,750
+موتور السيارة إيش بيسوي؟ بحرك الإعجال .. صح؟
+
+147
+00:11:41,750 --> 00:11:46,650
+هلجيت؟ قوة موتور السيارة على الإعجال بالنسبة
+
+148
+00:11:46,650 --> 00:11:50,510
+للسيارة داخلية ولا خارجية؟ داخلية ..لأن السيارة مش
+
+149
+00:11:50,510 --> 00:11:54,870
+متكونة، متكونة من المطور والكراسي والعجال وكل هذه
+
+150
+00:11:54,870 --> 00:11:59,770
+الشغلات، كل قوة من واحد لتاني تتطبر قوة داخلية،
+
+151
+00:11:59,770 --> 00:12:04,410
+إذا المطور لف العجال، هذه قوة داخلية، ما بتتحرك
+
+152
+00:12:04,410 --> 00:12:09,090
+السيارة إلا بدي قوة خارجية، اللي هي الاحتكالعشان
+
+153
+00:12:09,090 --> 00:12:14,230
+هيك بنقول لو كانت العرضية تلج أو مافيش احتكاك بتلف
+
+154
+00:12:14,230 --> 00:12:18,950
+الإعجال والسيارة بتشوف مها زي ما هي صح ولا لأ؟ إذا
+
+155
+00:12:18,950 --> 00:12:23,710
+أنا .. مش ممكن ال center of mass تبع السيارة يتغير
+
+156
+00:12:23,710 --> 00:12:28,630
+إلا بوجود قوة خارجية قطعة و القوة الداخلية لقوة
+
+157
+00:12:28,630 --> 00:12:32,490
+الموتور بس بتلف الإعجال لف مش أكتر هنا نفس العملية
+
+158
+00:12:32,490 --> 00:12:37,130
+في سيارتي قوة داخلية المفروض ال momentum ماتتغيرش
+
+159
+00:12:37,130 --> 00:12:44,080
+إذا بيقولليانشوف الحل اه رجعت تمام انشوف كيف بدأ
+
+160
+00:12:44,080 --> 00:12:49,560
+الحلبقولي ال system تبعي اللي أنا بشتغل عليه عبارة
+
+161
+00:12:49,560 --> 00:12:54,280
+عن جسمين العربة والقذيفة صح ولا لأ؟ بالتالي قوة
+
+162
+00:12:54,280 --> 00:12:56,660
+العرب على القذيفة وقوة القذيفة على العربة هو
+
+163
+00:12:56,660 --> 00:13:00,520
+داخلية بيقولي we take our system to consist of the
+
+164
+00:13:00,520 --> 00:13:04,000
+cannon and the cannon ball والكرة تبعت ال cannon
+
+165
+00:13:04,000 --> 00:13:07,860
+أو القذيفة there are no horizontal external forces
+
+166
+00:13:07,860 --> 00:13:10,060
+acting on the system لكن ليه فيش هو القوة
+
+167
+00:13:10,060 --> 00:13:13,350
+الداخلية؟ شوفتوا حد القبطها؟ولا حد نفق عليها ولا
+
+168
+00:13:13,350 --> 00:13:17,270
+حد جررها بحبل، مافيش قوة خارجية، مافيش بالمرة،
+
+169
+00:13:17,270 --> 00:13:21,390
+مالاجيت أن القضيفة طالعة، صحيح ولا لأ؟ أنا
+
+170
+00:13:21,390 --> 00:13:24,150
+بالنسبالي كيف طلعت ميجا وانا بطل عليها من برا،
+
+171
+00:13:24,150 --> 00:13:27,130
+لاجيتها القضيفة طالعة، لحالها طلعت، على اعتبار
+
+172
+00:13:27,130 --> 00:13:31,890
+تمام الـtwo external forces، يقول الـforce of
+
+173
+00:13:31,890 --> 00:13:36,560
+gravityو ال N مانيش تعرفيه أنا بشغل علاوية هنا على
+
+174
+00:13:36,560 --> 00:13:39,900
+ال X axis بقولي ال two external forces the force
+
+175
+00:13:39,900 --> 00:13:42,820
+of gravity and the normal force are both vertical
+
+176
+00:13:42,820 --> 00:13:49,860
+مانيش تعرفيهم Therefore بقدر أقول يقين انه جديش F
+
+177
+00:13:49,860 --> 00:13:59,220
+external X الصينية Zero إذا بقدر أقول أن P total X
+
+178
+00:13:59,220 --> 00:14:05,060
+بتساوي constant؟ أههذه الـ B total إيش هي؟ بقول يا
+
+179
+00:14:05,060 --> 00:14:12,640
+كم كنت كم جسم عندك نهيه إذا معناته B للكنون زي B
+
+180
+00:14:12,640 --> 00:14:19,650
+للبول لازم يساوي كونستانتصح؟ طيب، إيش معناتها؟ قبل
+
+181
+00:14:19,650 --> 00:14:24,890
+القذف وبعد القذف، بتغيروا؟ لأ، إذا بدي أقول، هذه
+
+182
+00:14:24,890 --> 00:14:30,230
+قبل ماخذف، بتسويها بعد ماخذف، هاي السؤال، بيكون
+
+183
+00:14:30,230 --> 00:14:34,110
+كلصنا،
+
+184
+00:14:34,110 --> 00:14:40,650
+بقليها قصدا، أنا بتطلع تطيب، هو إنت عشان تطلعها
+
+185
+00:14:40,650 --> 00:14:43,470
+زاوية، عمل باروتك، بتطلع بزاوية، عمل باروتك، بتطلع
+
+186
+00:14:43,470 --> 00:14:48,770
+عدلة،أه اتطلع عليها تطلع عجلة بعد كده بتنزل ماكي
+
+187
+00:14:48,770 --> 00:14:55,410
+جعب فيها انا بديها ساعت ما طلعت فقط اه بتطلع ما هو
+
+188
+00:14:55,410 --> 00:14:59,230
+يعني بمعنى اخر لو المسافة طويلة ممكن تميل بس
+
+189
+00:14:59,230 --> 00:15:03,170
+باهاليا ماليش جعب فيها بعد كده حركة تانية مين اللي
+
+190
+00:15:03,170 --> 00:15:07,850
+ميلها الجاذبيةأما الساعة اللي قدفت .. حسب زي ما
+
+191
+00:15:07,850 --> 00:15:11,650
+حكت .. وإن وديتي للبرودة وإن صبوطتي .. فبتطلع
+
+192
+00:15:11,650 --> 00:15:15,290
+عادلة .. مش صعب أن أطلعها عادلة .. تمام .. إذا
+
+193
+00:15:15,290 --> 00:15:18,270
+بقولي بيه initial بيسوي بيه final .. أهم حاجة إيش
+
+194
+00:15:18,270 --> 00:15:20,810
+معنات initial و مش معنات final .. initial قبل
+
+195
+00:15:20,810 --> 00:15:25,150
+الإنطلاق مباشرة و final بعد الإنطلاق برضه مباشرة
+
+196
+00:15:25,150 --> 00:15:32,730
+.. مباشرة على طول .. تمام .. إذا بقدر أقول الآن ..
+
+197
+00:15:33,660 --> 00:15:36,200
+إن B initial كانت بيستخدم صفر لأن العربة كانت
+
+198
+00:15:36,200 --> 00:15:41,040
+واقفة و القذيفة جواتها فسرعت ما قبل القذيفة كداش
+
+199
+00:15:41,040 --> 00:15:45,240
+العربة كانت تتحرك و القذيفة كانت مش قاعدة و محتلمة
+
+200
+00:15:45,240 --> 00:15:51,700
+و ساحتة اذا V1 initial صفر و V2 initial صفر ده
+
+201
+00:15:51,700 --> 00:15:56,660
+اللي ليش ضال عليك بقول بيه final هي سرعتالـ Canon
+
+202
+00:15:56,660 --> 00:16:02,100
+في سرعة الـ Canon الكتلة زي كتلة الـ ball في سرعة
+
+203
+00:16:02,100 --> 00:16:08,160
+ال ball تمام خُطهم مع بعض صار عندك هيك where C and
+
+204
+00:16:08,160 --> 00:16:14,460
+B عشان معروفين إذا صار عندك M of the Canon
+
+205
+00:16:14,460 --> 00:16:20,740
+multiplied by V of the Canon plus the momentum of
+
+206
+00:16:20,740 --> 00:16:25,260
+the ball equal to zero طب نقدر نجيب من هنا هيك صح؟
+
+207
+00:16:25,900 --> 00:16:30,780
+إيش معناته الشرط السالي؟ عشان كده بيصير الارتداد
+
+208
+00:16:30,780 --> 00:16:34,840
+عشان كده بيصير الارتداد أنه أنا لازم الصراعة
+
+209
+00:16:34,840 --> 00:16:38,200
+التالية تكون عكس الأولى واحدة رايحة اليمين،
+
+210
+00:16:38,200 --> 00:16:45,880
+التانية بتروح الشمال تمام؟ اتطلعوا هادي لمين؟ هادي
+
+211
+00:16:45,880 --> 00:16:52,430
+للكانون وهادي للبور صح؟ لما تكون هادي كبيرةبتكون
+
+212
+00:16:52,430 --> 00:16:58,050
+الارتداد كبير صح؟ كل ما قلت القذيفة كتلتها كل ما
+
+213
+00:16:58,050 --> 00:17:02,910
+كان الارتداد أقل تمام؟ وكل ما كانت كتلة السيارة
+
+214
+00:17:02,910 --> 00:17:08,150
+أكبر كل ما كان الارتداد أقل برضه وشغلها منطقية اذا
+
+215
+00:17:08,150 --> 00:17:14,790
+المعادلة منطقية تمام تماما انه انا لما انا اخبط
+
+216
+00:17:14,790 --> 00:17:19,470
+حجر لو انا خبط حجر انا واقف انتوا واقفين على سطح
+
+217
+00:17:19,470 --> 00:17:22,200
+عملس وخبطوا حجر المفروض انت مش هترجعواالسلام عليكم
+
+218
+00:17:22,500 --> 00:17:24,680
+مفروض ترجعوا انت اللي بيمنعكوا ترجعوا انما في برضه
+
+219
+00:17:24,680 --> 00:17:28,400
+احتكاك تنسوش انه الاحتكاك قوة خارجية لكن لو انتوا
+
+220
+00:17:28,400 --> 00:17:31,700
+قاعدين محتوطين على سطح املس على ال air table في
+
+221
+00:17:31,700 --> 00:17:35,020
+المعمل و روحتوا و قولتوا يا رب اخبط ترجعوا
+
+222
+00:17:35,020 --> 00:17:38,580
+فادباكوا مع حالكوا تمام؟ الميعي يقول الحمد لله انه
+
+223
+00:17:38,580 --> 00:17:42,300
+في احتكاك بيأمنن شغلات كتيرة فهذه شغلة مطيقية لأنه
+
+224
+00:17:42,300 --> 00:17:45,980
+انا ماتك كرة انا و لما اخبط انا الكرة انا الخبطتها
+
+225
+00:17:45,980 --> 00:17:49,800
+فانا و الكرة بالنسبة لنا قوة داخلية و بالتالي لازم
+
+226
+00:17:49,800 --> 00:17:56,770
+ارتد قاللي خلاص االبول 75 وهذه أعطاني إياها تبع
+
+227
+00:17:56,770 --> 00:18:02,590
+البول 25 وهذه 2000 فما أقدر أطلعها فتطلع السؤال
+
+228
+00:18:02,590 --> 00:18:08,130
+بسهولة ناقص 0.94 متر per second عشان كتلة الكرة
+
+229
+00:18:08,130 --> 00:18:12,790
+بيرة بالرغم أنه قضيفة صلعتها 75 متر per second
+
+230
+00:18:12,790 --> 00:18:18,190
+لارتداد أقل من واحدالسرعة، ليش؟ لأن كتلة العربة
+
+231
+00:18:18,190 --> 00:18:22,350
+أكبر كتير من كتلة القضيفة واحدة ألفين كيلو وهذه
+
+232
+00:18:22,350 --> 00:18:26,270
+خمسة وعشرين كيلو، و لا شيء، خلتها ترتد، بس سرعة
+
+233
+00:18:26,270 --> 00:18:31,390
+بسيطة طبعا كل ما كترت الكتلة كل ما كانت الارتداد
+
+234
+00:18:31,390 --> 00:18:37,590
+أكبر كتلة القضيفة بقعد فيها كمان مثالبيقول لي two
+
+235
+00:18:37,590 --> 00:18:42,710
+blocks of masses M1 and M2 are connected by a
+
+236
+00:18:42,710 --> 00:18:46,570
+spring قال لي هاي في عندي كتل تانية بقى، إيش
+
+237
+00:18:46,570 --> 00:18:54,370
+بيرمو؟ زمبارة، دغتهم أنا، دغتهم، هاجين أنا دغتهم،
+
+238
+00:18:54,370 --> 00:18:58,230
+إيديا قوة خارجية، بدأ فلّيت إيديا، ضال قوة خارجية؟
+
+239
+00:18:58,230 --> 00:19:02,980
+لأطيب .. إيه بيحصل في كتلتين اللي كانوا مضغوطين؟
+
+240
+00:19:02,980 --> 00:19:07,660
+بيرجعوا .. طب مين هيرجحهم؟ الزنبارك .. الزنبارك
+
+241
+00:19:07,660 --> 00:19:10,880
+بيزول من ال system ولا لأ؟ هو خارجية ولا داخلية؟
+
+242
+00:19:10,880 --> 00:19:14,240
+داخلية .. داخلية مالهاش دعوة .. تمام؟ إذا بيقولي
+
+243
+00:19:14,240 --> 00:19:19,340
+two blocks of masses M1 equal one kilogram and M2
+
+244
+00:19:19,340 --> 00:19:24,080
+equal two kilogram are connected by a spring كيلة
+
+245
+00:19:24,080 --> 00:19:29,400
+ال spring عبارة عن متين نيوتن بيرمتر .. تمام؟بقول
+
+246
+00:19:29,400 --> 00:19:33,040
+الـ two blocks are free to slide along a smooth
+
+247
+00:19:33,040 --> 00:19:36,400
+horizontal surface هذا السطح انلاس مافيه احتكاة
+
+248
+00:19:36,400 --> 00:19:41,220
+تمام مافيه قوة داخلية او خارجية معناتها أفقية لأن
+
+249
+00:19:41,220 --> 00:19:46,340
+الاحتكاة أفقية مش موجود تمام بقول الـ blocks are
+
+250
+00:19:46,340 --> 00:19:49,660
+initially compressing compressing the spring
+
+251
+00:19:49,660 --> 00:19:53,880
+twelve centimeters إذا في الأول انا كنت ضغط زببرك
+
+252
+00:19:53,880 --> 00:19:57,540
+اتناشر سنتمتار طيب and then released from rest
+
+253
+00:19:57,540 --> 00:20:02,150
+وفلتهمFind the velocities of the two blocks when
+
+254
+00:20:02,150 --> 00:20:05,670
+the spring returns to its equilibrium state
+
+255
+00:20:10,700 --> 00:20:16,100
+عرفنا شيئ سؤال؟ برضه نفس المبدأ بقول ال momentum
+
+256
+00:20:16,100 --> 00:20:21,200
+الأفقية ممنوعة تتغير Conserved عشان مافيش عندى قوة
+
+257
+00:20:21,200 --> 00:20:26,120
+خارجية أفقية تمام؟ لأن القوة الوحيدة اللي على
+
+258
+00:20:26,120 --> 00:20:29,040
+الكتلتين هي قوة الزنبراكل والزنبراكل هي عبارة عن
+
+259
+00:20:29,040 --> 00:20:33,000
+قوة داخلية لأنهم من مكونات ال system فكيف بدنا نحل
+
+260
+00:20:33,000 --> 00:20:38,910
+السؤال؟بقول في الأول ال system كانت واقفة كان ال
+
+261
+00:20:38,910 --> 00:20:42,690
+initial velocities لكل ال system زيرو يعني P
+
+262
+00:20:42,690 --> 00:20:49,410
+initial كم؟ Zero مفروض P final يبقى زيرو، صح؟ تمام
+
+263
+00:20:49,410 --> 00:20:52,450
+الان
+
+264
+00:20:52,450 --> 00:20:56,410
+صاروا هكذا، حركوا، جدي جدي سرعت هدي و جدي سرعت
+
+265
+00:20:56,410 --> 00:20:58,550
+هدي، هذه الزمبارك رجعوا إلى ال equilibrium
+
+266
+00:20:58,550 --> 00:20:59,830
+position تبعهم
+
+267
+00:21:02,750 --> 00:21:05,170
+طبعا لازم اعرف اش هو ال system تبعي عشان اعرف اش
+
+268
+00:21:05,170 --> 00:21:07,470
+هو القوة الداخلية و اش هو القوة الخارجية واضح
+
+269
+00:21:07,470 --> 00:21:10,590
+السؤال دايما ال system يكون معروف بيقول لي our
+
+270
+00:21:10,590 --> 00:21:13,810
+system is the two blocks and the spring و ال
+
+271
+00:21:13,810 --> 00:21:17,870
+spring بينهم تمام again no external forces acting
+
+272
+00:21:17,870 --> 00:21:20,940
+in the systemفي الاتجاه الأفضلي in the horizontal
+
+273
+00:21:20,940 --> 00:21:23,840
+direction الـ total momentum in the horizontal
+
+274
+00:21:23,840 --> 00:21:26,460
+direction .. in the horizontal direction .. is
+
+275
+00:21:26,460 --> 00:21:30,800
+therefore constant .. conserved .. so B initial
+
+276
+00:21:30,800 --> 00:21:34,760
+must equal to the momentum finally .. مش مفروض
+
+277
+00:21:34,760 --> 00:21:38,500
+تتغير .. knowing that the system is initially at
+
+278
+00:21:38,500 --> 00:21:44,770
+rest .. في الأول كان واقف .. هو حكالي .. هذا هوأو
+
+279
+00:21:44,770 --> 00:21:47,850
+اولًا يقوم بتقسيم النظام ثم يخرج من الـ Rest إذا
+
+280
+00:21:47,850 --> 00:21:54,370
+في الأول كانوا واقفين حلو، إذا بقولهم أولًا 0 زائد
+
+281
+00:21:54,370 --> 00:22:00,350
+0 الكتلتين كانوا واقفين بيساوي M1 V1 زائد M2 V2
+
+282
+00:22:00,350 --> 00:22:04,940
+صحيح هيك ولا لأ؟ مافيش أسهل منهامعادلة جبرية أسهل
+
+283
+00:22:04,940 --> 00:22:07,920
+أنواع المعادلة الجبرية والواحد ما صار اتعرف على
+
+284
+00:22:07,920 --> 00:22:11,460
+الجبر تدول المعادلات هذه نجيب من هنا و نودي هنا و
+
+285
+00:22:11,460 --> 00:22:13,960
+نجسم على مش عارف إيش و الشغلات اللي أخدتها في
+
+286
+00:22:13,960 --> 00:22:20,120
+المدارس طلعت هاي V1 و V2 نجيب ال V2 بجلنة V1 من
+
+287
+00:22:20,120 --> 00:22:23,900
+العلاقة اللي جيبتها أنا بإعشار تسالد في مجال
+
+288
+00:22:23,900 --> 00:22:27,100
+السرعتين اللي كانوا مع بعض ولا عكس بعض عكس بعض عكس
+
+289
+00:22:27,100 --> 00:22:32,520
+بعض هاي إعشار تسالد صحيح ولا لأ طيبفيه سرعة منهم
+
+290
+00:22:32,520 --> 00:22:37,520
+معروفة؟ لأ. او كم مجهود في عندي؟ اتنين. او كم
+
+291
+00:22:37,520 --> 00:22:41,700
+معادلة جيباني؟ واحد. من فأ. اذا انغص من عندي بدي؟
+
+292
+00:22:41,700 --> 00:22:44,780
+لأ. معادلة تانية. طيب من وين اجيبها؟ بيقعدوا حد حق
+
+293
+00:22:44,780 --> 00:22:48,980
+في مخهم. إيش؟ في معلومة؟ خدتها جبل كده؟ إيش هو؟
+
+294
+00:22:50,520 --> 00:22:53,880
+اللي هو Conservation of Energy أخدت أنا في Chapter
+
+295
+00:22:53,880 --> 00:22:58,740
+7 مبدأ Conservation of Energy اللي بتقول E Final
+
+296
+00:22:58,740 --> 00:23:03,340
+نغسط E Initial بيستوي W and C صح؟ W and C شغل
+
+297
+00:23:03,340 --> 00:23:06,620
+احتكاك، في احتكاك؟ لأ، قوة الزبارة Conservative
+
+298
+00:23:06,620 --> 00:23:10,060
+ولا Non-Conservative؟ Conservative إذا مافيش W and
+
+299
+00:23:10,060 --> 00:23:16,770
+C إذا E Final بيستوي E Initial وشية E؟طاقة الوضع
+
+300
+00:23:16,770 --> 00:23:21,630
+زي طاقة الحركة وطاقة الحركة بتجيب سرعات برضه تمت
+
+301
+00:23:21,630 --> 00:23:26,190
+.. لذا خلينا نشوف إيش بيجيب بيقول now applying the
+
+302
+00:23:26,190 --> 00:23:30,070
+conservation of mechanical energy principle اللي
+
+303
+00:23:30,070 --> 00:23:35,110
+هي U .. هلأ بدك تكتبها تفصيلة هي القانون بيقول E
+
+304
+00:23:35,110 --> 00:23:40,750
+final نقص E initial بيسوي W and C هذه كده إيش
+
+305
+00:23:40,750 --> 00:23:46,850
+بيسوي؟ Zero، مش عندك احتكاكةيعني E Final بيساوي E
+
+306
+00:23:46,850 --> 00:23:52,630
+Initial فى Initially K Initial بيساوي سفر ولا لأ؟
+
+307
+00:23:52,630 --> 00:23:57,590
+صح يا بنات؟ لأن الجسم كان ساكن طيب إذ Initially
+
+308
+00:23:57,590 --> 00:24:02,190
+إيش كان في الزنبراك؟ إيش هو مضغوط؟ مضغوط يعني تمام
+
+309
+00:24:02,190 --> 00:24:06,670
+إذا U جدش بيساوي؟
+
+310
+00:24:06,670 --> 00:24:14,620
+هذي U Initial صح؟طيب K final بيساوي نص M واحد V
+
+311
+00:24:14,620 --> 00:24:19,140
+واحد تربيع زي نص M اتنين V اتنين تربيع، في خلاف؟
+
+312
+00:24:19,140 --> 00:24:24,440
+اللي هو مجموعة كائنات ال energy بعد final اتنين
+
+313
+00:24:24,440 --> 00:24:27,500
+اتحركوا، صار كل واحد اللي في كائنات ال energy خاصة
+
+314
+00:24:27,500 --> 00:24:32,060
+بيها طيب، هدول لما الصبعات عند .. لما صار ال ..
+
+315
+00:24:32,060 --> 00:24:36,740
+الزنبراج ايه صار وضعه؟ رجع لوضع الاتزان، في وضع
+
+316
+00:24:36,740 --> 00:24:44,870
+الاتزان، جدش يوم تكون؟أذا الـ U final جديه صار؟ أي
+
+317
+00:24:44,870 --> 00:24:53,710
+سؤال؟ أي أسف صار؟ أمين؟
+
+318
+00:24:53,710 --> 00:25:00,890
+طيب الحمد لله طيب وين راحت الـ UG؟ أنا بدي أسألها
+
+319
+00:25:00,890 --> 00:25:11,360
+الـ UG شو شو شو؟ حكت كلمة شبه كفر قالت UG عموديةهو
+
+320
+00:25:11,360 --> 00:25:14,920
+ايه الحركة؟ ال U ترى تشوفوا عمودية يعني إليها
+
+321
+00:25:14,920 --> 00:25:18,260
+اتجاه خلّت ال energy إليها اتجاه و من يحصل سحبتها،
+
+322
+00:25:18,260 --> 00:25:24,820
+ماكملتهاش وين UG؟ فشي ليه فشي؟ الحركة و إيه؟ يعني
+
+323
+00:25:24,820 --> 00:25:29,000
+بمعنى أخر Delta U صفر اتغيرت U و هو متحرك و بقى؟
+
+324
+00:25:29,000 --> 00:25:40,080
+ملاش UG صح؟ غيرها؟ خلاص، بتعودهاهذه متساوي هذه
+
+325
+00:25:40,080 --> 00:25:49,020
+بتصير initial قداش تصير صفر زي نص KX تربية متساوي
+
+326
+00:25:49,020 --> 00:25:58,480
+هذه صحيح؟ طلعت عندي كمان معادلة بتجيب V1 بتجلد V2
+
+327
+00:25:58,480 --> 00:26:02,890
+مازال عندي معادلتين بمجهولين خلصت المشكلةأنا كان
+
+328
+00:26:02,890 --> 00:26:07,470
+عندي في الأول معادلة إذا نص كيكس تربيع اللي هي
+
+329
+00:26:07,470 --> 00:26:14,530
+هادي وهدي رميه سفر بتساوي هادي زائد سفر يعني هادي
+
+330
+00:26:14,530 --> 00:26:19,310
+المفروض يكون زائد سفر زائد سفر عشان تظبط معاه عشان
+
+331
+00:26:19,310 --> 00:26:27,090
+يعرف الواحد إيش اللي سوى، مظبوط يا بنات؟ قرص بقدر
+
+332
+00:26:27,090 --> 00:26:32,080
+أضيع الإنصاصمن المعادلة؟ يعني بدأتوا بكل معادلة في
+
+333
+00:26:32,080 --> 00:26:40,280
+إيش؟ في إتنين، ضيّعنا الإنصاص وعوّضنا محل V2
+
+334
+00:26:40,280 --> 00:26:46,040
+بالعلاقة اللي جبتها، كمان فطلعت عندي M1 V1² plus
+
+335
+00:26:46,040 --> 00:26:54,720
+M2 M1 over M2² V1² equal KX طيب، بقدر أخد هنا V1²
+
+336
+00:26:54,720 --> 00:27:02,420
+عن المشاركة؟ يلا M1زائد M .. بلاي عملها هذه أقول M
+
+337
+00:27:02,420 --> 00:27:08,400
+واحد تربيه على M اتنين يلا
+
+338
+00:27:08,400 --> 00:27:14,260
+تابعوا معايا صح أنني قلته ولا لأ؟ V واحد تربيه
+
+339
+00:27:14,260 --> 00:27:19,360
+أخدتها من الشرق أه
+
+340
+00:27:19,360 --> 00:27:26,050
+طيب بسيطة، بطلعلهاش مرتين، بطلعلها مرة واحدةطبعا
+
+341
+00:27:26,050 --> 00:27:33,910
+ايه اتظبطت؟ طيب صارت V واحد تربية M اتنين M واحد
+
+342
+00:27:33,910 --> 00:27:40,670
+في M اتنين زي M واحد تربية صح؟ طلعت V واحد خلصنا
+
+343
+00:27:40,670 --> 00:27:45,550
+اذا V واحد نسوي square root و بنطلحها اشوف كده
+
+344
+00:27:45,550 --> 00:27:46,390
+اتظبطت
+
+345
+00:27:49,350 --> 00:27:57,530
+Equal K M2 X2 بي على M1 M2 زي M1 الكل تربية ماذا
+
+346
+00:27:57,530 --> 00:28:00,430
+لو طلعت V1 ماذا لو طلعت V2 ماذا لو طلعت V2 ماذا لو
+
+347
+00:28:00,430 --> 00:28:00,470
+طلعت V2 ماذا لو طلعت V2 ماذا لو طلعت V2 ماذا لو
+
+348
+00:28:00,470 --> 00:28:00,550
+طلعت V2 ماذا لو طلعت V2 ماذا لو طلعت V2 ماذا لو
+
+349
+00:28:00,550 --> 00:28:00,570
+طلعت V2 ماذا لو طلعت V2 ماذا لو طلعت V2 ماذا لو
+
+350
+00:28:00,570 --> 00:28:00,970
+طلعت V2 ماذا لو طلعت V2 ماذا لو طلعت V2 ماذا لو
+
+351
+00:28:00,970 --> 00:28:01,070
+طلعت V2 ماذا لو طلعت V2 ماذا لو طلعت V2 ماذا لو
+
+352
+00:28:01,070 --> 00:28:07,100
+طلعت V2 ماذهذا طبعا عوضنا و جرّعنا الرقم وجدت V2
+
+353
+00:28:07,100 --> 00:28:12,740
+بساوي سلب M1 على M2 في V1 M1 و M2 المعروفين طلعت
+
+354
+00:28:12,740 --> 00:28:16,420
+عندنا minus two meters per second فوارحة واحدة
+
+355
+00:28:16,420 --> 00:28:19,420
+أربعة و واحدة سلب اتنين لأن واحدة باتجاهه والتاني
+
+356
+00:28:19,420 --> 00:28:25,460
+باتجاه المعاكس وهذا المتوقعينه في كل عمليتنا إذن
+
+357
+00:28:25,460 --> 00:28:32,960
+هذا الشرطة في فكرة واحدةكلها نفس الفكرة مافيش
+
+358
+00:28:32,960 --> 00:28:37,700
+external force مافيش external force معناته الـ A
+
+359
+00:28:37,700 --> 00:28:42,400
+center of mass كده؟ سفر مافيش external force
+
+360
+00:28:42,400 --> 00:28:45,680
+معناته الـ A center of mass سفر و لما تكون الـ A
+
+361
+00:28:45,680 --> 00:28:48,420
+center of mass سفر معناته الـ V center of mass
+
+362
+00:28:48,420 --> 00:28:52,620
+ثابتة الـ V center of mass ثابتة لأن كله قانون
+
+363
+00:28:52,620 --> 00:28:58,710
+واحد يا بنات احنا بنقول FExternal كمجموع بيسوي MA
+
+364
+00:28:58,710 --> 00:29:04,550
+Center of Mass هذه كلمة الام طبعاً هذه مش موجودة
+
+365
+00:29:04,550 --> 00:29:13,430
+معناته هذه Zero وما هو هذه هي عبارة عن MDV Center
+
+366
+00:29:13,430 --> 00:29:18,210
+of Mass على DT إذا هذه صفر إذا هذه مالها constant
+
+367
+00:29:21,640 --> 00:29:26,100
+معناته، مافيش قوة خارجية، الـ Center of Mass بيبقى
+
+368
+00:29:26,100 --> 00:29:30,480
+على وضعه سرعته ثابتة، كان واقف، بيبقى واقف، كان
+
+369
+00:29:30,480 --> 00:29:34,260
+متحرك، بيبقى متحرك بنفس السرعة، صح ولا لأ؟ إذن هذا
+
+370
+00:29:34,260 --> 00:29:39,920
+هو مبدأ Chapter هذاالـ V center of mass هي اضربها
+
+371
+00:29:39,920 --> 00:29:44,080
+في M هي الـ capital P لو اجينا اعملنا هذي بقول هذي
+
+372
+00:29:44,080 --> 00:29:50,340
+متساوي D على DT وحطيها هنا M وهذه V center of mass
+
+373
+00:29:50,340 --> 00:29:54,650
+جالي هذي وولد total momentum لل systemصحيح ولا لأ؟
+
+374
+00:29:54,650 --> 00:29:57,970
+هذه ال total momentum لل system هي نفسها يا بنات
+
+375
+00:29:57,970 --> 00:30:02,550
+هي نفسها يعني بمعنى أخر أنا لما أجيب momentum و لا
+
+376
+00:30:02,550 --> 00:30:07,350
+أجيب ال center of mass كل واحد خلّيني أديكم شغلة
+
+377
+00:30:07,350 --> 00:30:10,750
+تانية عشان نعرف أن هذا الشبط مافيش فيه لمبدأ واحد
+
+378
+00:30:10,750 --> 00:30:13,530
+مافيش فيه عدة قوانين زي ما هو مبين
+
+379
+00:30:16,930 --> 00:30:22,150
+أحنا علنا القانون الأول واحد خدناه قولنا A M في A
+
+380
+00:30:22,150 --> 00:30:29,310
+Center of Mass سوى M1 R1 زاد M2 R2 صح ولا لأ
+
+381
+00:30:29,310 --> 00:30:37,670
+اشتقوا صار capital M V Center of Mass سوى M1 V1
+
+382
+00:30:37,670 --> 00:30:46,030
+زاد M2 V2 صحيح ولا لأ هال gate هذا هو capital B
+
+383
+00:30:47,750 --> 00:30:54,250
+صحيح؟ و هذه جابي واحد دقت بي اتنين لو
+
+384
+00:30:54,250 --> 00:31:00,430
+هذه كانت zero معناته هذه بسبوحهم zero اللي كنت
+
+385
+00:31:00,430 --> 00:31:04,390
+أشتغله انه initially هذه كانت zero و هذه جبتها
+
+386
+00:31:04,390 --> 00:31:09,150
+final و عملتها فنفس الحال تمام؟ مافيش اختلاف في
+
+387
+00:31:09,150 --> 00:31:12,650
+الفكرة ليش؟ لأن القانون جاب قانون أصلا وبالتالي
+
+388
+00:31:12,650 --> 00:31:14,330
+نفس الفكرة تبعت
+
+389
+00:31:18,910 --> 00:31:24,610
+طيب، هجيت لوينا كانت تالي، عمركم شدتوا الحبل؟ شد
+
+390
+00:31:24,610 --> 00:31:32,010
+الحبل طيب، لو اتنين بدهم يشدوا الحبل، تمام؟ و لمّا
+
+391
+00:31:32,010 --> 00:31:37,210
+يشدوا الحبل و يصلوا بعض؟ وين بدهم يصلوا بعض؟ ليش
+
+392
+00:31:37,210 --> 00:31:44,610
+الـcentre؟ عندين؟ وين بتتوقع؟ وين بدهم يشدوا بعض؟
+
+393
+00:31:44,810 --> 00:31:47,710
+واحد بيشجّوا التاني و بيضلوا زي ما هو .. زي اللوح؟
+
+394
+00:31:47,710 --> 00:31:55,050
+بيشجّوا التاني و بيضلوا زي
+
+395
+00:31:55,050 --> 00:31:57,510
+ما هو .. زي اللوح؟ بيشجّوا التاني و بيضلوا زي ما
+
+396
+00:31:57,510 --> 00:32:00,550
+هو .. زي اللوح؟ بيشجّوا التاني و بيضلوا زي ما هو؟
+
+397
+00:32:00,550 --> 00:32:01,510
+بيشجّوا التاني و بيضلوا زي ما هو؟ بيشجّوا التاني و
+
+398
+00:32:01,510 --> 00:32:03,810
+بيضلوا زي ما هو؟ بيشجّوا التاني و بيضلوا زي ما هو؟
+
+399
+00:32:03,810 --> 00:32:08,570
+بيشجّوا التاني و بيضلوا زي ما هو؟ بيشجّوا التاني و
+
+400
+00:32:08,570 --> 00:32:12,130
+بيضلوا زي ما هو؟ بيشجّوا التاني و بيضلوا زي ما هو؟
+
+401
+00:32:12,130 --> 00:32:14,830
+بيشجالـ Center of Mass ما يتغيرى .. لما يكونوا
+
+402
+00:32:14,830 --> 00:32:18,470
+نزجوا بعيد من الـ Center of Mass عند الإتقاب .. مش
+
+403
+00:32:18,470 --> 00:32:21,430
+لما يكونوا اتقابلوا بعد ما يشدوا الـ Center of
+
+404
+00:32:21,430 --> 00:32:25,410
+Mass المفروض يكون عند اتقابلهم .. هذا نفسه لازم
+
+405
+00:32:25,410 --> 00:32:28,330
+يكون الـ Center of Mass يتقابلهم بعيد عن بعضإذا
+
+406
+00:32:28,330 --> 00:32:30,710
+وان بتجابله عند ال center of mass لازم يكون نفس
+
+407
+00:32:30,710 --> 00:32:36,290
+النقطة لأنه شد الحبل هو قاعدين بيعملوا قوة داخلية
+
+408
+00:32:36,290 --> 00:32:42,810
+في القضية نفس السؤال الكتلة أو الرجال اللي ماشي
+
+409
+00:32:42,810 --> 00:32:46,470
+على العربة كان ماشي و العربة رجعت عشان يحافظ على
+
+410
+00:32:46,470 --> 00:32:48,350
+ال center of mass
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/gLdZEKzjYAY_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/gLdZEKzjYAY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..154607e97b071b66e1e21497056f3f0e36b71a55
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/gLdZEKzjYAY_raw.json
@@ -0,0 +1 @@
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"word": " ولا", "probability": 0.9453125}, {"start": 458.33, "end": 459.17, "word": " لأ؟", "probability": 0.8557942708333334}, {"start": 459.17, "end": 459.37, "word": " أكتر", "probability": 0.75628662109375}, {"start": 459.37, "end": 459.69, "word": " قوة", "probability": 0.9925130208333334}, {"start": 459.69, "end": 460.01, "word": " فقية", "probability": 0.7140299479166666}, {"start": 460.01, "end": 461.19, "word": " موجودة؟", "probability": 0.921484375}, {"start": 461.19, "end": 462.13, "word": " الهمة؟", "probability": 0.839599609375}], "temperature": 1.0}, {"id": 20, "seek": 48546, "start": 462.98, "end": 485.46, "text": "أذا N2 == Fs و لا لأ؟ نكتب المعادلة F2 == Fs هاي أول معادلة تمام مين يقوللي Fs إيش علاقتها ب N1؟ إيش علاقتها؟ Fs و N1 هو إيش قانون Fs؟", "tokens": [10721, 15730, 426, 17, 4141, 479, 82, 4032, 20193, 5296, 10721, 22807, 8717, 4117, 2655, 3555, 9673, 3615, 18513, 37977, 479, 17, 4141, 479, 82, 8032, 47302, 5551, 12610, 20449, 18513, 37977, 46811, 10943, 3714, 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"seek": 50865, "start": 487.13, "end": 508.65, "text": "أصغر أو يساو ميو أس في ال N و N واحد بما أنه على وشك الانزلاق في صيد مسواه ولا لأ اذا انت نسوش أن أفأس هذه بيساو ميو أس في ال N واحد تموجود لأنه عشان كده جال ليه how far a man weighing 1700 Newton can climb up the ladder before it start to slip اذا انا على وشك الانزلاق احكي", "tokens": [10721, 9381, 17082, 2288, 34051, 7251, 3794, 995, 2407, 3714, 1829, 2407, 5551, 3794, 8978, 2423, 426, 4032, 426, 36764, 24401, 4724, 15042, 14739, 3224, 15844, 4032, 8592, 4117, 2423, 7649, 11622, 15040, 4587, 8978, 20328, 25708, 47524, 14407, 3224, 49429, 5296, 10721, 1975, 15730, 16472, 2655, 8717, 3794, 2407, 8592, 14739, 5551, 5172, 10721, 3794, 29538, 4724, 1829, 3794, 995, 2407, 3714, 1829, 2407, 5551, 3794, 8978, 2423, 426, 36764, 24401, 46811, 29245, 23328, 5296, 33456, 3224, 6225, 8592, 7649, 9122, 3215, 3224, 10874, 6027, 32239, 3224, 577, 1400, 257, 587, 31986, 43373, 19541, 393, 10724, 493, 264, 18325, 949, 309, 722, 281, 11140, 1975, 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" هي", "probability": 0.8046875}, {"start": 2088.38, "end": 2088.8, "word": " عبارة", "probability": 0.983154296875}, {"start": 2088.8, "end": 2089.0, "word": " عن", "probability": 0.98974609375}, {"start": 2089.0, "end": 2089.1, "word": " ال", "probability": 0.68701171875}, {"start": 2089.1, "end": 2089.46, "word": " stress", "probability": 0.97314453125}, {"start": 2089.46, "end": 2089.68, "word": " على", "probability": 0.447021484375}, {"start": 2089.68, "end": 2089.78, "word": " ال", "probability": 0.90966796875}, {"start": 2089.78, "end": 2090.14, "word": " strain", "probability": 0.92626953125}, {"start": 2090.14, "end": 2091.12, "word": " سؤالي", "probability": 0.84173583984375}, {"start": 2091.12, "end": 2091.44, "word": " الآن", "probability": 0.812744140625}], "temperature": 1.0}, {"id": 82, "seek": 211308, "start": 2093.12, "end": 2113.08, "text": "الـ Strain عادة ما نشوفه الـ Stress وحدة الضغط اللي هو نيوتن على متر تربيع الـ Strain مالوش وحدة لأنه بتديني Delta L على L Delta L على L Delta L متر و الـ L إذا مايضاللوش وحدة إذا الـ Elastic modulus و الـ Stress نفس الوحدة لأنه هذا مالوش وحدة", "tokens": [6027, 39184, 745, 7146, 6225, 18513, 3660, 19446, 8717, 8592, 38688, 3224, 2423, 39184, 38258, 4032, 24401, 3660, 6024, 114, 17082, 9566, 13672, 1829, 31439, 8717, 1829, 35473, 1863, 15844, 44650, 2288, 6055, 2288, 21292, 3615, 2423, 39184, 745, 7146, 3714, 6027, 2407, 8592, 4032, 24401, 3660, 5296, 33456, 3224, 39894, 3215, 9957, 1829, 18183, 441, 15844, 441, 18183, 441, 15844, 441, 18183, 441, 44650, 2288, 4032, 2423, 39184, 441, 11933, 15730, 19446, 1829, 11242, 6027, 1211, 2407, 8592, 4032, 24401, 3660, 11933, 15730, 2423, 39184, 2699, 2750, 42287, 4032, 2423, 39184, 38258, 8717, 36178, 2423, 2407, 24401, 3660, 5296, 33456, 3224, 23758, 3714, 6027, 2407, 8592, 4032, 24401, 3660], "avg_logprob": -0.26168355265179194, "compression_ratio": 1.8944723618090453, "no_speech_prob": 0.0, "words": [{"start": 2093.12, "end": 2093.44, "word": "الـ", "probability": 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"probability": 0.84326171875}, {"start": 2098.08, "end": 2098.32, "word": " متر", "probability": 0.94873046875}, {"start": 2098.32, "end": 2098.9, "word": " تربيع", "probability": 0.8211669921875}, {"start": 2098.9, "end": 2099.86, "word": " الـ", "probability": 0.892822265625}, {"start": 2099.86, "end": 2100.26, "word": " Strain", "probability": 0.859375}, {"start": 2100.26, "end": 2100.66, "word": " مالوش", "probability": 0.65289306640625}, {"start": 2100.66, "end": 2101.08, "word": " وحدة", "probability": 0.92041015625}, {"start": 2101.08, "end": 2101.8, "word": " لأنه", "probability": 0.8868815104166666}, {"start": 2101.8, "end": 2102.3, "word": " بتديني", "probability": 0.7138671875}, {"start": 2102.3, "end": 2102.68, "word": " Delta", "probability": 0.5869140625}, {"start": 2102.68, "end": 2103.2, "word": " L", "probability": 0.87158203125}, {"start": 2103.2, "end": 2103.46, "word": " على", "probability": 0.7294921875}, {"start": 2103.46, "end": 2103.84, "word": " L", 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"probability": 0.6675851004464286}, {"start": 2108.12, "end": 2108.54, "word": " وحدة", "probability": 0.90380859375}, {"start": 2108.54, "end": 2109.38, "word": " إذا", "probability": 0.823974609375}, {"start": 2109.38, "end": 2109.9, "word": " الـ", "probability": 0.81982421875}, {"start": 2109.9, "end": 2110.28, "word": " Elastic", "probability": 0.826904296875}, {"start": 2110.28, "end": 2110.7, "word": " modulus", "probability": 0.5849609375}, {"start": 2110.7, "end": 2110.92, "word": " و", "probability": 0.70849609375}, {"start": 2110.92, "end": 2111.1, "word": " الـ", "probability": 0.813232421875}, {"start": 2111.1, "end": 2111.3, "word": " Stress", "probability": 0.8251953125}, {"start": 2111.3, "end": 2111.52, "word": " نفس", "probability": 0.98388671875}, {"start": 2111.52, "end": 2112.12, "word": " الوحدة", "probability": 0.9212646484375}, {"start": 2112.12, "end": 2112.44, "word": " لأنه", "probability": 0.6925455729166666}, {"start": 2112.44, "end": 2112.52, "word": " هذا", "probability": 0.525390625}, {"start": 2112.52, "end": 2112.74, "word": " مالوش", "probability": 0.86572265625}, {"start": 2112.74, "end": 2113.08, "word": " وحدة", "probability": 0.9607747395833334}], "temperature": 1.0}, {"id": 83, "seek": 213523, "start": 2114.81, "end": 2135.23, "text": "We shall consider three types of deformation بقول في عندي غالبا تلت أنواع من الـ deformation إما الطول بتغير أو المساحة بتتغير أو كل الحجم بتتغير هاي التلت أنواع اللي بدنا ناخدهم أول واحد الـ young's modulus معامل young معامل young", "tokens": [4360, 4393, 1949, 1045, 3467, 295, 34364, 4724, 39648, 8978, 18871, 16254, 32771, 6027, 3555, 995, 6055, 1211, 2655, 14739, 14407, 3615, 9154, 2423, 39184, 34364, 11933, 15042, 41950, 12610, 39894, 17082, 13546, 34051, 9673, 3794, 39319, 3660, 39894, 2655, 17082, 13546, 34051, 28242, 21542, 7435, 2304, 39894, 2655, 17082, 13546, 8032, 47302, 16712, 1211, 2655, 14739, 14407, 3615, 13672, 1829, 47525, 8315, 8717, 47283, 3215, 16095, 5551, 12610, 36764, 24401, 2423, 39184, 2037, 311, 42287, 20449, 10943, 1211, 2037, 20449, 10943, 1211, 2037], "avg_logprob": -0.25937499719507556, "compression_ratio": 1.6384976525821595, "no_speech_prob": 0.0, "words": [{"start": 2114.81, "end": 2115.01, "word": "We", "probability": 0.10009765625}, {"start": 2115.01, "end": 2115.25, "word": " shall", "probability": 0.8115234375}, {"start": 2115.25, "end": 2115.75, "word": " consider", "probability": 0.91650390625}, {"start": 2115.75, "end": 2116.05, "word": " three", "probability": 0.802734375}, {"start": 2116.05, "end": 2116.67, "word": " types", "probability": 0.78662109375}, {"start": 2116.67, "end": 2116.99, "word": " of", "probability": 0.97216796875}, {"start": 2116.99, "end": 2117.63, "word": " deformation", "probability": 0.82421875}, {"start": 2117.63, "end": 2118.33, "word": " بقول", "probability": 0.429168701171875}, {"start": 2118.33, "end": 2118.49, "word": " في", "probability": 0.48388671875}, {"start": 2118.49, "end": 2118.79, "word": " 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"end": 2131.01, "word": " واحد", "probability": 0.9931640625}, {"start": 2131.01, "end": 2131.93, "word": " الـ", "probability": 0.69970703125}, {"start": 2131.93, "end": 2132.35, "word": " young's", "probability": 0.4453125}, {"start": 2132.35, "end": 2132.77, "word": " modulus", "probability": 0.69091796875}, {"start": 2132.77, "end": 2133.53, "word": " معامل", "probability": 0.78173828125}, {"start": 2133.53, "end": 2134.01, "word": " young", "probability": 0.71435546875}, {"start": 2134.01, "end": 2134.79, "word": " معامل", "probability": 0.8660481770833334}, {"start": 2134.79, "end": 2135.23, "word": " young", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 84, "seek": 215856, "start": 2136.22, "end": 2158.56, "text": "أحنا بيقولنا الـ Modulus هو عبارة عن stress على الـ strain. مظبوط ولا لأ؟ هذي جت ال stress فاهمينه، قوة على مساحة، ال strain هو اللي تلت أنواع، قعدنا نشوف كيف ال strain. بيقول young modulus measure the resistance of a solid to a change in its length. لما يكون بس المتغير الطول، ساعتها بيجي ال young modulus.", "tokens": [10721, 5016, 8315, 4724, 1829, 39648, 8315, 2423, 39184, 6583, 26107, 31439, 6225, 3555, 9640, 3660, 18871, 4244, 15844, 2423, 39184, 14249, 13, 3714, 19913, 3555, 2407, 9566, 49429, 5296, 10721, 22807, 8032, 8848, 1829, 10874, 2655, 2423, 4244, 6156, 995, 16095, 9957, 3224, 12399, 12174, 2407, 3660, 15844, 47524, 39319, 3660, 12399, 2423, 14249, 31439, 13672, 1829, 6055, 1211, 2655, 14739, 14407, 3615, 12399, 12174, 22488, 8315, 8717, 8592, 38688, 9122, 33911, 2423, 14249, 13, 4724, 1829, 39648, 2037, 42287, 3481, 264, 7335, 295, 257, 5100, 281, 257, 1319, 294, 1080, 4641, 13, 5296, 15042, 7251, 30544, 4724, 3794, 9673, 2655, 17082, 13546, 41950, 12610, 12399, 8608, 995, 34268, 11296, 4724, 1829, 7435, 1829, 2423, 2037, 42287, 13], "avg_logprob": -0.24583333345750968, "compression_ratio": 1.5857142857142856, "no_speech_prob": 0.0, "words": [{"start": 2136.22, "end": 2136.52, "word": "أحنا", "probability": 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"probability": 0.366455078125}, {"start": 2473.69, "end": 2474.07, "word": " modulus", "probability": 0.6259765625}, {"start": 2474.07, "end": 2474.77, "word": " فالطلاق", "probability": 0.959375}, {"start": 2474.77, "end": 2474.85, "word": " ايه", "probability": 0.809814453125}, {"start": 2474.85, "end": 2475.27, "word": " بيصير", "probability": 0.84356689453125}, {"start": 2475.27, "end": 2476.81, "word": " تنسى", "probability": 0.84466552734375}, {"start": 2476.81, "end": 2476.95, "word": " ال", "probability": 0.97802734375}, {"start": 2476.95, "end": 2477.25, "word": " stress", "probability": 0.94580078125}, {"start": 2477.25, "end": 2477.53, "word": " F", "probability": 0.82861328125}, {"start": 2477.53, "end": 2477.75, "word": " على", "probability": 0.84130859375}, {"start": 2477.75, "end": 2477.97, "word": " A", "probability": 0.86328125}, {"start": 2477.97, "end": 2478.49, "word": " EMG", "probability": 0.540374755859375}, {"start": 2478.49, "end": 2478.71, "word": " على", 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"probability": 0.5955810546875}, {"start": 2508.39, "end": 2508.45, "word": " بده", "probability": 0.589599609375}, {"start": 2508.45, "end": 2508.69, "word": " delta", "probability": 0.59130859375}, {"start": 2508.69, "end": 2508.95, "word": " V", "probability": 0.599609375}, {"start": 2508.95, "end": 2509.63, "word": " طبعا", "probability": 0.9638671875}, {"start": 2509.63, "end": 2510.41, "word": " احنا", "probability": 0.9189453125}, {"start": 2510.41, "end": 2510.65, "word": " عندنا", "probability": 0.789306640625}, {"start": 2510.65, "end": 2510.75, "word": " ال", "probability": 0.90625}, {"start": 2510.75, "end": 2510.93, "word": " bulk", "probability": 0.853515625}, {"start": 2510.93, "end": 2511.13, "word": " modulus", "probability": 0.974609375}, {"start": 2511.13, "end": 2511.41, "word": " بتساوي", "probability": 0.57672119140625}, {"start": 2511.41, "end": 2511.61, "word": " delta", "probability": 0.6337890625}, {"start": 2511.61, "end": 2511.83, "word": " B", "probability": 0.36279296875}, {"start": 2511.83, "end": 2511.99, "word": " على", "probability": 0.76513671875}, {"start": 2511.99, "end": 2512.21, "word": " delta", "probability": 0.85205078125}, {"start": 2512.21, "end": 2512.49, "word": " V", "probability": 0.95458984375}, {"start": 2512.49, "end": 2512.61, "word": " و", "probability": 0.5888671875}, {"start": 2512.61, "end": 2513.19, "word": " بنحلها", "probability": 0.7861328125}, {"start": 2513.19, "end": 2513.71, "word": " و", "probability": 0.88525390625}, {"start": 2513.71, "end": 2514.39, "word": " بنطلع", "probability": 0.96826171875}, {"start": 2514.39, "end": 2515.23, "word": " الإجابة", "probability": 0.9727783203125}], "temperature": 1.0}, {"id": 99, "seek": 251575, "start": 2515.65, "end": 2515.75, "text": "السلام عليكم و رحمه الله", "tokens": [6027, 3794, 37440, 25894, 24793, 4032, 12602, 35571, 3224, 21984], "avg_logprob": -0.9225851839238947, "compression_ratio": 0.8979591836734694, "no_speech_prob": 0.8544921875, "words": [{"start": 2515.65, "end": 2515.67, "word": "السلام", "probability": 0.18324788411458334}, {"start": 2515.67, "end": 2515.67, "word": " عليكم", "probability": 0.93798828125}, {"start": 2515.67, "end": 2515.67, "word": " و", "probability": 0.8427734375}, {"start": 2515.67, "end": 2515.75, "word": " رحمه", "probability": 0.4700520833333333}, {"start": 2515.75, "end": 2515.75, "word": " الله", "probability": 0.9638671875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2516.06775, "duration_after_vad": 2380.923124999993}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/h5R01kGnIBE_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/h5R01kGnIBE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..36cb721edcd278a3c94b559e3747f1077ed6d760
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/h5R01kGnIBE_postprocess.srt
@@ -0,0 +1,2084 @@
+1
+00:00:21,560 --> 00:00:24,660
+نسمي بسم الله الرحمن الرحيم و نستقن في شرح chapter
+
+2
+00:00:24,660 --> 00:00:28,660
+10 احنا اتفقنا ان chapter 10 بيحكي عن rotational
+
+3
+00:00:28,660 --> 00:00:32,960
+motion و في هذا ال chapter بنحاول نعيد كل القوانين
+
+4
+00:00:32,960 --> 00:00:36,760
+اللي بتتحكم في الحركة في السابق و نتحرك على حركة
+
+5
+00:00:36,760 --> 00:00:40,520
+خطية و الآن نتحرك على حركة دورانية و بالتالي نتوقع
+
+6
+00:00:40,520 --> 00:00:44,840
+كل كمية فيزيائية مرت علينا في الشباتر الماضية
+
+7
+00:00:44,840 --> 00:00:49,160
+نكررها و نجيب لها كمية مناضرة مش بالضرورة تكون
+
+8
+00:00:49,160 --> 00:00:56,780
+مساويةفاتفقنا أننا أصبحنا جايبين الإزاحة
+
+9
+00:00:56,780 --> 00:01:00,000
+أصبحت ثيتا الفلوسيتي أصبحت أوميجا الأكسليريشن
+
+10
+00:01:00,000 --> 00:01:05,180
+أصبحت ألفا والماس غيرناها وصارت moment of inertia
+
+11
+00:01:05,180 --> 00:01:09,020
+I الان بنتعامل مع كمية فيزيائية جديدة بنسميها ال
+
+12
+00:01:09,020 --> 00:01:14,910
+torqueاللي بدنا نتحدث عنها أن كل قوة لها عزم خاص
+
+13
+00:01:14,910 --> 00:01:22,990
+بيها هذه الكمية مرتبطة بالقوة وهي القوة في الذراع
+
+14
+00:01:22,990 --> 00:01:27,050
+والذراع هي مسافة عمودية ما بين نقطة الدوران وخط
+
+15
+00:01:27,050 --> 00:01:31,470
+عمل القوة وبدنا نعرف في الفعالية الماضية قولنا
+
+16
+00:01:31,470 --> 00:01:37,910
+torque equals R cross FR X F F هو القوة وR هو
+
+17
+00:01:37,910 --> 00:01:44,250
+المسافة بين نقطة القوة لجهة التحول وبالتالي الـ
+
+18
+00:01:44,250 --> 00:01:49,450
+Torque هي كمية فائعة لما أتينا نقول A X B اتعلمنا
+
+19
+00:01:49,450 --> 00:01:53,010
+في الشبطن الأول بتسوي A في B في صيني الزاوية فقلنا
+
+20
+00:01:53,010 --> 00:01:57,470
+إذا هذه R في صيني الزاوية في F R في F في صيني
+
+21
+00:01:57,470 --> 00:02:02,610
+الزاوية طلعنا على R صيني الزاوية اللي هي هذه
+
+22
+00:02:02,610 --> 00:02:09,310
+الكميةلقناها هي المسافة العمودية لما قلنا هنا عشان
+
+23
+00:02:09,310 --> 00:02:15,330
+انا اجيب R لو هذه انا مديتها بصورة معينة تمام و
+
+24
+00:02:15,330 --> 00:02:21,150
+جيت بدأ اجيب من هنا خط عمودي ادخلها فبلاقي ان
+
+25
+00:02:21,150 --> 00:02:24,930
+الزاوية بتعمل لو افترضنا انه مش .. مش تظبطش هيك
+
+26
+00:02:24,930 --> 00:02:29,110
+ممكن الزاوية هي شبه تطلع هيك هذه .. هذه المسافة
+
+27
+00:02:29,110 --> 00:02:35,130
+فهذه Rsin الزاويةهذه R صيني الزاوية لما أجى أطلع
+
+28
+00:02:35,130 --> 00:02:38,410
+عليها الشي هذي بقول هو المسافة العمودية بين محور
+
+29
+00:02:38,410 --> 00:02:43,230
+الدوران وخط عمل القوة فإذا R صيني الزاوية هذي بديش
+
+30
+00:02:43,230 --> 00:02:45,870
+لنا نكتبها R صيني الزاوية نقول تكتبها R
+
+31
+00:02:45,870 --> 00:02:49,710
+perpendicular يعني عمودية على ال F عمودية على ال F
+
+32
+00:02:49,710 --> 00:02:53,610
+وإيها مصطلح بيسموها ال arm of the force الذراع تبع
+
+33
+00:02:53,610 --> 00:02:58,880
+القوة ذراع القوةفعرفتها بهذه الصيغة وقالت R
+
+34
+00:02:58,880 --> 00:03:02,200
+perpendicular is called the moment arm of the
+
+35
+00:03:02,200 --> 00:03:07,700
+force اللي أهم من اسمها مش تعريفها كيف أجيبها
+
+36
+00:03:07,700 --> 00:03:11,280
+بيقول هي المسافة ال perpendicular distance from
+
+37
+00:03:11,280 --> 00:03:14,320
+the point of rotation من نقطة الدوران أنت بتبدأ من
+
+38
+00:03:14,320 --> 00:03:17,820
+نقطة الدوران وبتنزل عمود وكلنا نعرف ننزل عمود كيف
+
+39
+00:03:17,820 --> 00:03:22,260
+كلنا نجيب مساحةأي شكل ربعي أو ثلاثي بس كنا بنقول
+
+40
+00:03:22,260 --> 00:03:25,560
+في الثلاث نص القاعدة في الارتفاع وفي الرباعي مساحة
+
+41
+00:03:25,560 --> 00:03:28,780
+القاعدة في الارتفاع كيف كنا نجيب الارتفاع؟ لو
+
+42
+00:03:28,780 --> 00:03:33,020
+مافيش ارتفاع؟ كنا نزل عموط، مظبط ولا لا؟ وهنا نفس
+
+43
+00:03:33,020 --> 00:03:36,080
+العملية، بدي أنزل عموط، من وإيه؟ كنا ننزل من الرأس
+
+44
+00:03:36,080 --> 00:03:40,500
+المثلث زمان، الرأس المثلث هو نقطة الدوران، تمام؟
+
+45
+00:03:40,500 --> 00:03:44,840
+والقاعدة هو خط عمل القوة، بس سهلة، إذا بدي أنزل
+
+46
+00:03:44,840 --> 00:03:50,640
+عموطهذه أديسة المسافة بعرفها وهذه الذراع فشواتور
+
+47
+00:03:50,640 --> 00:03:57,060
+القوة في العمودي اللي نزلته مش أكتر is called the
+
+48
+00:03:57,060 --> 00:03:59,740
+moment arm of the force and is defined as the
+
+49
+00:03:59,740 --> 00:04:02,260
+perpendicular distance from the point of rotation
+
+50
+00:04:02,260 --> 00:04:07,250
+to the line of action of the forceواتفقنا من أول
+
+51
+00:04:07,250 --> 00:04:10,930
+التعريف أن الـ torque is a vector quantity ويجب أن
+
+52
+00:04:10,930 --> 00:04:15,670
+يكون عمودي على الـR وعمودي على الـF وما زال عمودي
+
+53
+00:04:15,670 --> 00:04:17,930
+على الـR وعمودي على الـF يجب أن يكون عمودي بين
+
+54
+00:04:17,930 --> 00:04:21,630
+both of them وبالتالي يأتي عند الاتجاه التالت
+
+55
+00:04:21,630 --> 00:04:27,090
+والاتجاه التالت لا يحدده إلا الدوران والإبهام اللي
+
+56
+00:04:27,090 --> 00:04:33,330
+يجيب الاتجاه التالت فاتفقنا على أنهإذا كان العزم
+
+57
+00:04:33,330 --> 00:04:36,710
+بيعمل عدد دوران مع عقارب الساعة بيكون سالب و ضد
+
+58
+00:04:36,710 --> 00:04:40,230
+عقارب الساعة بيكون موجب ممكن نغيره و ممكن نغيره زي
+
+59
+00:04:40,230 --> 00:04:44,530
+ما ال X دائما موجب و هيك لكن ممكن نعمله هيك وهذا
+
+60
+00:04:44,530 --> 00:04:49,710
+نفس القضية إذا بنقول T is positive if it tends to
+
+61
+00:04:49,710 --> 00:04:53,950
+rotate the body counter clockwise تمام in the
+
+62
+00:04:53,950 --> 00:04:56,150
+direction of increasing theta بيقول يا حسب انت ال
+
+63
+00:04:56,150 --> 00:04:58,370
+theta وين تبعتك احنا ال theta ال default تبعتنا
+
+64
+00:04:58,370 --> 00:05:04,020
+دائما بنرسمها تيتا هيك يا بناتهكذا صح ولا لأ؟ ليش؟
+
+65
+00:05:04,020 --> 00:05:08,260
+كيف تزيد هذه؟ تزيد هكذا هو لإن جسم بدور هكذا، تزيد
+
+66
+00:05:08,260 --> 00:05:12,360
+فيتا، إذا كنت تزيد مع حرص ساعة و لا ضد، ضد، اللي
+
+67
+00:05:12,360 --> 00:05:15,320
+هو الـdefault صحيح ولا لأ؟ لكن لو واحد قال، طب
+
+68
+00:05:15,320 --> 00:05:17,940
+مافعلش أقول هذي فيتا، عمروش كان فيتا، بقول ممكن،
+
+69
+00:05:17,940 --> 00:05:23,110
+صحيح ولا لأ؟ بالتالي، بصير زيادتها هكذازيادتها مع
+
+70
+00:05:23,110 --> 00:05:27,990
+قرب الساعة بصير مجبك مع قرب الساعة فانت ممكن تغير
+
+71
+00:05:27,990 --> 00:05:32,610
+بس ممكن علي هذه الشغلات تمام it is negative if it
+
+72
+00:05:32,610 --> 00:05:38,050
+tends to rotate the body clockwise تمامطبعا كتبنا
+
+73
+00:05:38,050 --> 00:05:40,370
+انه perpendicular to both R and F دي شغله by
+
+74
+00:05:40,370 --> 00:05:44,770
+default و خلينا طبعا احنا الان نتعلم كيف نجيب ال
+
+75
+00:05:44,770 --> 00:05:48,410
+torque و الشبطر اللي وراها كل شغلتنا كيف نجيب ال
+
+76
+00:05:48,410 --> 00:05:52,050
+torque وبالتالي الان بناخد شوية عنها عشان الشبطر
+
+77
+00:05:52,050 --> 00:05:56,170
+اللي جاى تكون العملية سهل علنا الشبطر اللي جاىكثير
+
+78
+00:05:56,170 --> 00:05:59,290
+سهل .. كثير .. إذا فهمنا كيف نجيب ال torque و
+
+79
+00:05:59,290 --> 00:06:01,670
+الأمور هذه يعني .. الشبطر هذه زي ما أنا عارف
+
+80
+00:06:01,670 --> 00:06:05,090
+الشبطر اللي ورا بيصير و ليش و كأنه أمثل عش شبطر
+
+81
+00:06:05,090 --> 00:06:09,910
+هذا مافيش .. في عنا إشكالية بيقولي .. a force F
+
+82
+00:06:09,910 --> 00:06:14,630
+equal to Newton is applied at point P و هذه النقطة
+
+83
+00:06:14,630 --> 00:06:18,870
+0.5 meter from the center O of a wheel OB makes an
+
+84
+00:06:18,870 --> 00:06:21,870
+angle .. خلينا نصومها عشان توضع .. بيقول في عندك
+
+85
+00:06:21,870 --> 00:06:25,720
+عجللكن تجعله يدور .. كيف تجعله يدور؟ لكتر أثر فيه
+
+86
+00:06:25,720 --> 00:06:30,720
+بقوة .. صح ولا لأ؟ جبت رابط حبل عند النقطة هذه ..
+
+87
+00:06:30,720 --> 00:06:34,720
+هذه النقطة B .. لكتر رابط حبل أو قوة ولا حاجة ..
+
+88
+00:06:34,720 --> 00:06:37,600
+هذه الزاوية تلاتين درجة جلسوها .. وهذه القوة اللي
+
+89
+00:06:37,600 --> 00:06:41,040
+أنا .. رابطت حبل ومشيته هيك .. تمام .. هيدور
+
+90
+00:06:41,040 --> 00:06:48,280
+باتجاه ما؟ النقطة ..ببتبعد عن الـ origin نص متر
+
+91
+00:06:48,280 --> 00:06:54,560
+حسب معطية السؤال ثم و الخط OB makes an angle of 30
+
+92
+00:06:54,560 --> 00:06:58,780
+degree with the x-axis and the force make an angle
+
+93
+00:06:58,780 --> 00:07:03,360
+of 60 degree with the x-axis الفورس تعمل زاوية
+
+94
+00:07:03,360 --> 00:07:07,720
+مقدرة 60 مع ال X-axis ثم ايش بده؟ calculate the
+
+95
+00:07:07,720 --> 00:07:11,140
+torque on the wheelسألني هل سأدور هذه العادية أو
+
+96
+00:07:11,140 --> 00:07:14,880
+لا؟ إذا أردنا أن ندور، فهناك Torque. حسبنا الـ
+
+97
+00:07:14,880 --> 00:07:19,780
+Torque. تمام؟ نحن نتعلم ونأسس كيف نجلب الـ Torque
+
+98
+00:07:19,780 --> 00:07:25,260
+بقصورة إجمالية. قال لي انسى أن الـ Torque بسوء R
+
+99
+00:07:25,260 --> 00:07:27,760
+من نص الـ F التي ستغلبك هذا الـ Gate. لا، انت قول
+
+100
+00:07:27,760 --> 00:07:34,440
+الـ R يبدو كره في الـ F وخلاص. وهذه هي الذراع. صح
+
+101
+00:07:34,440 --> 00:07:37,580
+او لا؟ اللي سميته الذراع. كيف بدي أجيبه؟ قال لي،
+
+102
+00:07:37,580 --> 00:07:41,220
+لا يوجد أسهل منك أن تجيبه.بتجيب من نقطة الدوران
+
+103
+00:07:41,220 --> 00:07:44,980
+تنزل عمود على القوة، مشيك تاوي اتفقنا؟ نقطة
+
+104
+00:07:44,980 --> 00:07:51,640
+الدوران مجهولة؟ معروفة ليه النقطة؟ النقطة اه طيب،
+
+105
+00:07:51,640 --> 00:07:56,240
+و الخط شايفينه الأزرق؟ هي قوة كيف بدي أنزل أنا
+
+106
+00:07:56,240 --> 00:08:02,120
+عمود منها و اوديها؟ بينفعك أنزل عمود إلا هذا الخط
+
+107
+00:08:02,120 --> 00:08:10,420
+الأزرق أمدهصح ولا لا؟ ثم نزل عمود بصورة م .. بقول
+
+108
+00:08:10,420 --> 00:08:14,840
+هاي .. نفترض .. زي ما قايل .. إذا هاي أربط بين ده
+
+109
+00:08:14,840 --> 00:08:23,910
+كده إيه بتعمل؟ ثم ..وإذا بدك كمان أسهلة وممكن نلعب
+
+110
+00:08:23,910 --> 00:08:28,290
+بحساب المثلثات ونجيب هذا البعد انا عندي مثلث قائم
+
+111
+00:08:28,290 --> 00:08:31,610
+الزاوية وفي the horse بعرفه وصيني الزاوية بعرفها
+
+112
+00:08:31,610 --> 00:08:36,850
+بسوي مقابلة على وطر ومجاورة على وطر وبشتغل او بريح
+
+113
+00:08:36,850 --> 00:08:42,190
+حالي أسهل اني أنهج القوة من أول أحللها إلى سينوساط
+
+114
+00:08:42,190 --> 00:08:45,510
+صحيح ولا لأ؟ إذا أنهجي طريقة وبجيبها أنا مش مشكلة
+
+115
+00:08:45,510 --> 00:08:53,530
+بقول هادي حاجات منفعش أقولهذه صارت F Cos 60 وهذه F
+
+116
+00:08:53,530 --> 00:08:57,570
+Sin 60 صح ولا لأ؟ قال لي بدل ما تجيب ال torque
+
+117
+00:08:57,570 --> 00:09:00,750
+لواحدة تجيب ال torque لترتيب مركبتين أسهلك في
+
+118
+00:09:00,750 --> 00:09:03,190
+الذراعي الآن بدل ما يصوح على أسابي المثلثات نتغلب
+
+119
+00:09:03,190 --> 00:09:06,070
+حالك طيب كيف أجيب الذراع حد؟ قال لي يا الله ما
+
+120
+00:09:06,070 --> 00:09:08,530
+أسهل يغرق
+
+121
+00:09:10,210 --> 00:09:13,810
+صحيح ولا لأ؟ هذي لسه مافيش أثر منها، تشوف كيف،
+
+122
+00:09:13,810 --> 00:09:17,450
+يعني اللي هي السينية، طب وهذه اللي برضه بدها، وهذه
+
+123
+00:09:17,450 --> 00:09:21,970
+هي هادرة تمام؟
+
+124
+00:09:21,970 --> 00:09:26,270
+إذا بيصير ال torque تبع القوة عبارة عن ال torque
+
+125
+00:09:26,270 --> 00:09:30,430
+تبع مركبتها السينية ومركبتها الصديقة كل مركبة لها
+
+126
+00:09:30,430 --> 00:09:34,810
+ذراع خاص بيها تمام؟ لما نيجي، كيف بدي أجيب هذه؟
+
+127
+00:09:34,810 --> 00:09:39,060
+قلني مايه هذه معروفة عندك؟صح؟ والمثلث اللي أنت
+
+128
+00:09:39,060 --> 00:09:42,440
+موجود أصلا هدى و رضّه هي هدى قوة تقدر تقول هدى
+
+129
+00:09:42,440 --> 00:09:49,340
+المسافة إذا هدى عبارة عن دي نص متر هل هدى عبارة عن
+
+130
+00:09:49,340 --> 00:09:55,320
+دي في cos هدى التلاتين وهدى دي في sin التلاتين؟
+
+131
+00:09:55,320 --> 00:10:00,620
+خلاص إن الأعملية سهلة تمام؟ إذا صارت ال torque
+
+132
+00:10:02,470 --> 00:10:11,470
+بيثاوى F Cos 60 في D Cos 30 وفي
+
+133
+00:10:11,470 --> 00:10:19,790
+F Sin 60 في D Sin 30 اجمع و لا اطرح هذي المهم هجد
+
+134
+00:10:19,790 --> 00:10:22,070
+ايش توجه ليه؟ قال لي انا ال director دي البلد ال
+
+135
+00:10:22,070 --> 00:10:26,270
+director بيجيش شوف ماعقرب الساعة و لا ضد عقرب
+
+136
+00:10:26,270 --> 00:10:29,350
+الساعة صح ولا لأ احنا متفقين ال default ان ضد عقرب
+
+137
+00:10:29,350 --> 00:10:34,430
+الساعة هو الموجب كيف بدي اعرف؟انه مع اقارب الساعة
+
+138
+00:10:34,430 --> 00:10:37,430
+و لا ضد اقارب الساعة انا هجيج انس ان في قوة عندها
+
+139
+00:10:37,430 --> 00:10:41,830
+ايا كم قوة خلتهم انا تنتهي انس القوة لانيا خلاص
+
+140
+00:10:41,830 --> 00:10:45,170
+انا مازال حللت بتعامل مع قوتين بجي بتطلع على كل
+
+141
+00:10:45,170 --> 00:10:50,530
+قوة لحد خليني اقول ال talk بالساوية R
+
+142
+00:10:50,530 --> 00:10:56,630
+perpendicular ل F الصينية زائد R perpendicular ل F
+
+143
+00:10:56,630 --> 00:11:02,950
+الصادية صحيح ولا لأ كل واحدة خاصة بيهاتمك بجيبك
+
+144
+00:11:02,950 --> 00:11:08,510
+طلع على الصينية اتطلعوا عليها وفجأتوا من أي حاجة
+
+145
+00:11:08,510 --> 00:11:17,630
+تانية واحد شجب حبل أفقيه العجل كيف بيلف؟ خليني
+
+146
+00:11:17,630 --> 00:11:23,930
+أخد راحتكم خدوا و فكروا هايوا شايفينه؟ جيبوا حبله
+
+147
+00:11:23,930 --> 00:11:29,220
+و شدوه بنفس الاتجاه الصيني كيف بيديلف العجل؟أحكيها
+
+148
+00:11:29,220 --> 00:11:36,560
+.. أفقي بيلوف؟ و في بيلوف أفقين؟ بدونش .. أحكيها
+
+149
+00:11:36,560 --> 00:11:41,480
+.. كم بدويلوف؟
+
+150
+00:11:41,480 --> 00:11:47,260
+انت مابتقوليش حسب إيش، كل الحسب عندك، مافيش إشي
+
+151
+00:11:47,260 --> 00:11:47,600
+مجهول
+
+152
+00:11:52,750 --> 00:11:56,970
+مهو شوفوا، في وجيتين للواحد، لا هذه لا هذه، صح ولا
+
+153
+00:11:56,970 --> 00:12:00,270
+لأ؟ حاجة لا مع قارب الساعة، لا ضد عقارب الساعة، مش
+
+154
+00:12:00,270 --> 00:12:07,690
+احتمال أخر مع قارب الساعة وفي واحدة جالس مع قارب
+
+155
+00:12:07,690 --> 00:12:15,110
+الساعة، مش شغلةمع أقارب الساعة؟ مع أقارب الساعة
+
+156
+00:12:15,110 --> 00:12:19,330
+قطعا هجيت انا لما بدى اشده هيك معقول يلف هيك؟
+
+157
+00:12:19,330 --> 00:12:25,150
+اشدته هيك، بيديلف هيك؟ ولا بيديلف هيك؟ بيلف هيك؟
+
+158
+00:12:25,150 --> 00:12:28,890
+هاي
+
+159
+00:12:28,890 --> 00:12:33,190
+هو اللي هو و هاد الشهده هاي العجل وهي نقطة دورانه
+
+160
+00:12:33,190 --> 00:12:38,870
+هاي نقطة دورانه يعني في شغلتين واضحين الجسم اللي
+
+161
+00:12:38,870 --> 00:12:48,450
+بده يدور معروفو لقطة الدوران، معروفة، تمام؟ بفقد
+
+162
+00:12:48,450 --> 00:12:51,730
+حسب اي واحد اللي بيتطلع هو انا اطلعها في الباب،
+
+163
+00:12:51,730 --> 00:12:54,210
+واحد شده هيك، اتطلعت هيك ولا هيك، بدي يسكر و واحد
+
+164
+00:12:54,210 --> 00:12:59,830
+بدي يفتح لأ فالتكيف واحد، واحد هالك، هجيت انا واحد
+
+165
+00:12:59,830 --> 00:13:03,430
+وفتح هناك و اخره و شده عليا، تمام؟ انا واقف هناك و
+
+166
+00:13:03,430 --> 00:13:05,770
+واحد واقف هناك، انا بدي أشوف وفتح هو انا بدي أشوف
+
+167
+00:13:05,770 --> 00:13:09,980
+سكة، هو اللي تنسي أشوف انه فتحلأ .. لأ .. لأ .. لأ
+
+168
+00:13:09,980 --> 00:13:14,120
+.. شوفوا نفس الشيء، من فعل تقولي حسب، أنا الساعة،
+
+169
+00:13:14,120 --> 00:13:16,060
+أنت لو شفت .. لو أتيت و أنا طلعت عليها، أنت بتقول
+
+170
+00:13:16,060 --> 00:13:19,240
+الساعت إيه؟ أجلبنك إياها بيصير دور العكس؟ لأ بس لو
+
+171
+00:13:19,240 --> 00:13:22,440
+كان .. ساعة ساعة لو كان عجل بيدور أكتر، لأ لما
+
+172
+00:13:22,440 --> 00:13:27,660
+الواحد يطلع من فوق، هيشوف مثلا الماء أو الرائحة،
+
+173
+00:13:27,660 --> 00:13:36,360
+هيشوفه .. لأ .. لأ .. لأ .. لأ .. فشي .. لأ .. لأ
+
+174
+00:13:36,360 --> 00:13:38,840
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+175
+00:13:40,260 --> 00:13:44,100
+أنا عندي .. الآن خلّيني على هذه .. بهذه المعطيات
+
+176
+00:13:44,100 --> 00:13:50,760
+اللي موجودة عندي في مجال .. في مجال في أي احتمال
+
+177
+00:13:50,760 --> 00:13:55,840
+عنكم في خيالكم أني أنا بشد هيك و العجل يلف ضد
+
+178
+00:13:55,840 --> 00:13:58,280
+عقارة بالساعة .. تشوف أيش معاناة لفك ضد عقارة
+
+179
+00:13:58,280 --> 00:14:01,980
+بالساعة؟ أنتوا عارفين؟ عشان توضح الأمور؟ يلف أن ضد
+
+180
+00:14:01,980 --> 00:14:04,080
+عقارة بالساعة .. معناته هذه النقطة بعد شويه بيصير
+
+181
+00:14:04,080 --> 00:14:07,060
+هنا .. هي initial و هي final .. هي معناة ضد عقارة
+
+182
+00:14:07,060 --> 00:14:11,830
+بالساعة .. صح ولا لأ؟اللي مع اقارب الساعة معناته
+
+183
+00:14:11,830 --> 00:14:17,450
+هادي initial و هادي final مش هيك معناته مع اقارب
+
+184
+00:14:17,450 --> 00:14:22,430
+الساعة هجيت انا شاجد هان لو النقطة هادي كانت هان
+
+185
+00:14:22,430 --> 00:14:26,330
+مش هتصير هان بعدين تصير هان تصير هان تصير هان اذا
+
+186
+00:14:26,330 --> 00:14:31,650
+هكذا قوة مافيش مجال الا تخلي العجل يدور مع اقارب
+
+187
+00:14:31,650 --> 00:14:36,070
+الساعة الا تخليه يدور مع اقارب الساعة مافيش مجال
+
+188
+00:14:36,070 --> 00:14:42,730
+اخرمازال معاقر بالساعة إذا ما أقوله سالب الصينية
+
+189
+00:14:42,730 --> 00:14:50,830
+ال Fx هي F كساية الستين والادراع تبعها هذا هو D
+
+190
+00:14:50,830 --> 00:14:55,890
+ساية التلاتين الصينية تفتي بادراعها أنا بحكي عن
+
+191
+00:14:55,890 --> 00:14:59,710
+الصينية ماديتها من نقطة الضوران اطلعت بال
+
+192
+00:14:59,710 --> 00:15:06,270
+perpendicularفهي D صيني الزاوية، انشوف كمان مرة،
+
+193
+00:15:06,270 --> 00:15:11,150
+فاكر كمان مرة مع بعض، انسوا الصيني وانسوا القوة F
+
+194
+00:15:11,150 --> 00:15:15,970
+واطلعولي على F كوصين .. sorry F صيني الستين، اللي
+
+195
+00:15:15,970 --> 00:15:22,850
+فجانية، بيكونش الدولة فوق، مع ولا عكس، عكس، عكس،
+
+196
+00:15:22,850 --> 00:15:26,180
+مستحيليعني انتوا شايفين عقارب الساعة هنا يعني
+
+197
+00:15:26,180 --> 00:15:29,160
+انتوا جاعت بنزل العجل و ضد عقارب الساعة جاعت بتطلع
+
+198
+00:15:29,160 --> 00:15:36,560
+العجل كنقطة اذا ضد عقارب الساعة اذا زائد F sin 60
+
+199
+00:15:36,560 --> 00:15:41,760
+كيف اجيب الذراع عجل لمدها هذا هي D Cos 30 خلاص
+
+200
+00:15:41,760 --> 00:15:51,270
+السؤال اذن علي أعود ألقام F 110 صحيح؟كوصايل الـ 30
+
+201
+00:15:51,270 --> 00:15:54,410
+بأعرفها و كوصايل ال 60 و كوصايل ال 30 كلهم بأعرفها
+
+202
+00:15:54,410 --> 00:16:00,570
+و ال D كان لنقص، ضال شيء؟ لأ خلينا نشوف، بس نجيب
+
+203
+00:16:00,570 --> 00:16:04,710
+الأرقام و نجيب ال calculator و نبدأ نشتغل و نقول
+
+204
+00:16:04,710 --> 00:16:05,850
+التالي
+
+205
+00:16:10,710 --> 00:16:16,610
+تمام اخر حلول اللي انا بحب انكم تشتغلوا فيه عشان
+
+206
+00:16:16,610 --> 00:16:20,150
+يتأسس الشبطة اللي ورا بيقول let us first resolve
+
+207
+00:16:20,150 --> 00:16:22,830
+the force into its component انا حليتها بالطريقة
+
+208
+00:16:22,830 --> 00:16:26,950
+الأولى و طلعت الجواب اللي جتلكم إياها بيقول خلينا
+
+209
+00:16:26,950 --> 00:16:32,500
+انا أحللها الآنالى مركبة سينية و مركبة صادية هدا
+
+210
+00:16:32,500 --> 00:16:36,720
+هما التين تاني تمام هذي أفكه سن الستين و هذي أفسه
+
+211
+00:16:36,720 --> 00:16:42,300
+سن الستين تمام و بالتالي لما أجيت هذي بدي أعمل ال
+
+212
+00:16:42,300 --> 00:16:45,380
+torque تبعها و هذي بدي أعمل ال torque تبع الذراع
+
+213
+00:16:45,380 --> 00:16:50,720
+مديتهم عشان أقدر أجيب المسافة العمودية قاللي الآن
+
+214
+00:16:50,720 --> 00:16:58,890
+هذي الحمرة ذراع هذي صحيح؟وهذه الحمرة زراع هادي
+
+215
+00:16:58,890 --> 00:17:04,910
+صحيح؟ زراع هادي تمام the torque of the forces is T
+
+216
+00:17:04,910 --> 00:17:11,390
+بسوى F sin 60 اللي هي هادي تمام في 0.5 كسان
+
+217
+00:17:11,390 --> 00:17:19,820
+التلاتين تمام في هذه الزراعةنقص لأنه هادي مع قريب
+
+218
+00:17:19,820 --> 00:17:25,480
+الساعة فحدد سالب أفكو صين ال 60 في نص صين ال 30
+
+219
+00:17:25,480 --> 00:17:32,480
+اللي هي هادي تم جمع لجهة 2.5 نيوتن بالمتل و 2.5
+
+220
+00:17:32,480 --> 00:17:36,820
+نيوتن بالمتل مافيش عندي إشكلين اتحلل القوة أحسنكم
+
+221
+00:17:36,820 --> 00:17:40,280
+لأنه إذا ماحللناش القوة حصلنا عملي صعوبة إن كيف
+
+222
+00:17:40,280 --> 00:17:46,620
+نجيب الذراعبصيبنا نخش في حساب المثلثات ونقعد نجيس
+
+223
+00:17:46,620 --> 00:17:50,880
+وفي ثغورس وصين وكوسين .. ذلك أسهل وهذا بيأسس عندنا
+
+224
+00:17:50,880 --> 00:17:54,020
+كل شغل في شبطة العاشر إلى أحد عاشر كله كيف نجيب ال
+
+225
+00:17:54,020 --> 00:17:56,440
+torque إذا عرفنا كيف نجيب ال torque بيبطل فيه سؤال
+
+226
+00:17:56,440 --> 00:18:01,500
+.. تمام .. إذا هذا مثال تمهيدي لشبطة أحد عاشر ..
+
+227
+00:18:01,500 --> 00:18:07,580
+تمام .. كمان مثال .. أحكي .. لحظتين .. أرجع ..
+
+228
+00:18:07,580 --> 00:18:13,090
+ماكنش موجود هذا .. أنا ..ماشي ..ماشي ..ماشي ..ماشي
+
+229
+00:18:13,090 --> 00:18:20,810
+..ماشي ..ماشي ..ماشي
+
+230
+00:18:20,810 --> 00:18:21,530
+..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي
+
+231
+00:18:21,530 --> 00:18:22,050
+..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي
+
+232
+00:18:22,050 --> 00:18:24,170
+..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي
+
+233
+00:18:24,170 --> 00:18:27,750
+..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي ..ماشي
+
+234
+00:18:27,750 --> 00:18:33,210
+..ماشي ..ماشي ..ماشي ..ماشي ..ماشي
+
+235
+00:18:33,210 --> 00:18:40,330
+..ماشي ..ماشي
+
+236
+00:18:40,330 --> 00:18:40,630
+..
+
+237
+00:18:45,000 --> 00:18:51,520
+تعالى هنا، هذا روحتها، خلاص حللكها، انسى هيك، هجيت
+
+238
+00:18:51,520 --> 00:18:58,240
+انت عندك wheel بتشدى من هذه، بدى لف، كي بدى لف؟
+
+239
+00:18:58,240 --> 00:19:04,780
+معقرب الساعة ثانية، تمام؟ هجيت انسى هيك، بتشدى
+
+240
+00:19:04,780 --> 00:19:11,680
+لفوق، كم بدى يعمل؟مع عقرب الساعة على الظل؟ مش عكسه
+
+241
+00:19:11,680 --> 00:19:13,960
+عقرب الساعة اللي بيمشي هكد بيجي بيمشي مع عقرب
+
+242
+00:19:13,960 --> 00:19:19,600
+الساعة؟ هدا؟ أه اللي فوق هى محورة دوران مظموطة ولا
+
+243
+00:19:19,600 --> 00:19:25,960
+لأ؟ وانت بتشديه من هنا و بتطلعيه فوق تمام؟ حلو فيك
+
+244
+00:19:25,960 --> 00:19:32,920
+ولا حلو فيك؟ تمام؟ غيرها جيد
+
+245
+00:19:32,920 --> 00:19:33,600
+نفهم لها
+
+246
+00:19:36,410 --> 00:19:39,450
+إذا ريحتوني، هلجيتش في الشبطانية الجامعية خلاص من
+
+247
+00:19:39,450 --> 00:19:45,790
+محاضرة إن شاء الله؟ الذراع، شو الذراع، جنالك؟ نقطة
+
+248
+00:19:45,790 --> 00:19:48,810
+الدوران، بتنزل عمود، بتعرف تنزل عمود ده ولا لا؟
+
+249
+00:19:48,810 --> 00:19:51,450
+الحمد لله، الحمد لله، بنعرف نزل عمود، علمونا في
+
+250
+00:19:51,450 --> 00:19:55,930
+المدرسة لما زهجونا، صح ولا لا؟ هلجيتش أفهادة؟
+
+251
+00:19:55,930 --> 00:20:00,430
+بديكي تنزل عمود من هال على هادي، بنفع تنزل عمود
+
+252
+00:20:00,430 --> 00:20:03,530
+تلحقيها الحوق؟ بتنزل عمود، إذا ليش بيكي تسويه؟
+
+253
+00:20:03,530 --> 00:20:07,380
+مديهايعني احنا كنا .. اه عادي الشيء اللي اتخدتوها،
+
+254
+00:20:07,380 --> 00:20:13,460
+حاجة ها .. هاي مثلق مفرج، مش مسميه مفرج؟ كيف وصلت
+
+255
+00:20:13,460 --> 00:20:19,360
+في ناس العمود؟ يالا نزلولي عمود، بدي اجيب ارتفاع
+
+256
+00:20:19,360 --> 00:20:24,760
+المثلقات، ايش كنت تسوي بالقاعدة؟مش كنتوا تمدوا
+
+257
+00:20:24,760 --> 00:20:29,240
+القاعدة؟ و بقوا هناك مديتها عشان تنزل العمول ولا
+
+258
+00:20:29,240 --> 00:20:32,560
+كنا نلحق القاعدة؟ في مجال نلحق القاعدة؟ ببطل
+
+259
+00:20:32,560 --> 00:20:36,120
+العمول فكنا نعمل هيك، مظبوط ولا لا؟ معناه المد
+
+260
+00:20:36,120 --> 00:20:41,840
+يانها، هي العمول مش كنا نمد القاعدة عشان تصير
+
+261
+00:20:41,840 --> 00:20:47,100
+إقبال الراسعشان أصير قبالي الراس، عشان أقدر أمد من
+
+262
+00:20:47,100 --> 00:20:52,640
+الراس لإنه، إذا ماضلي أمد أنا هنا، كم دي أنا أنزل
+
+263
+00:20:52,640 --> 00:20:57,260
+منها العمود؟ طب أنا بدي حاجة قبالها، صح؟ فهذه
+
+264
+00:20:57,260 --> 00:20:59,880
+القوة بدت منها، قولتله مدها، هو في عندك مشكلة
+
+265
+00:20:59,880 --> 00:21:05,200
+تمدها، مديت، هجي تنزل عمود، نزلت عمودليش أنا بقول
+
+266
+00:21:05,200 --> 00:21:08,360
+حلل؟ لأنه لما أحلل ال X و Y، ال X و ال Y ما هي
+
+267
+00:21:08,360 --> 00:21:13,500
+مفهومة، لا أفقي، لا عمودي، و أنا بدي أنزل عمود، لو
+
+268
+00:21:13,500 --> 00:21:16,560
+الشغل عمودي، العمودي عليها عمودي، و لو الشغل
+
+269
+00:21:16,560 --> 00:21:20,040
+عمودي، العمودي عليها عمودي، فسهل التعامل معها، غير
+
+270
+00:21:20,040 --> 00:21:22,000
+عن الطريقة الأولانية اللي بدي أقعد أعمل حساب و
+
+271
+00:21:22,000 --> 00:21:27,060
+تلاتات و أغلب حالي، أحكي،
+
+272
+00:21:27,060 --> 00:21:31,560
+براو
+
+273
+00:21:31,560 --> 00:21:35,890
+عليك، أي محاصرة طلعت عندك مجيب ولا سالف؟إذا مع ولا
+
+274
+00:21:35,890 --> 00:21:39,150
+ضد؟ ضد إذا في الآخر اللي بيشوفه في عينيك شوه؟ ضد
+
+275
+00:21:39,150 --> 00:21:41,090
+ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+276
+00:21:41,090 --> 00:21:41,130
+ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+277
+00:21:41,130 --> 00:21:42,870
+ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+278
+00:21:42,870 --> 00:21:45,850
+ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+279
+00:21:45,850 --> 00:21:48,610
+ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+280
+00:21:48,610 --> 00:22:01,030
+ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+281
+00:22:09,570 --> 00:22:13,350
+لأ ماكيه احنا موجة بصيني و موجة بصادمان نجعه فيه
+
+282
+00:22:13,350 --> 00:22:20,910
+بس صين و صادم فقط افق العمودي مش اكتر غيرها احكي
+
+283
+00:22:20,910 --> 00:22:25,950
+ايه
+
+284
+00:22:25,950 --> 00:22:28,550
+بحافظ اتجمدتش؟ شوفيها كانت طريقة اخرى، مين
+
+285
+00:22:28,550 --> 00:22:30,410
+الطريقة؟ بس انا عملت في الأخر الطريقة اللي اسمت
+
+286
+00:22:30,410 --> 00:22:30,690
+عليها
+
+287
+00:22:35,820 --> 00:22:40,620
+أه .. هو .. هو .. هو بده المسافة أو الزاوية بين ..
+
+288
+00:22:40,620 --> 00:22:47,820
+بين F و R فقاللي R وينها؟ قاللي هاي R إذا
+
+289
+00:22:47,820 --> 00:22:51,400
+بدي الزاوية بين F و R قاللي هديك فراح إيش عملها؟
+
+290
+00:22:51,400 --> 00:22:56,900
+جابها عشان يطلعها مباشرة كمان مثال .. نشوف هذا
+
+291
+00:22:56,900 --> 00:22:59,520
+يمكن أسهل شوية مغلبنيش معاكم كتير
+
+292
+00:23:02,230 --> 00:23:07,210
+بيقول لي في عندك رد الأخضر هذا رد of length two
+
+293
+00:23:07,210 --> 00:23:12,630
+meters ووزنه خمسة نينتر تمال is acted on by two
+
+294
+00:23:12,630 --> 00:23:15,630
+forces as shown أنا مأثر عليه بقوتين هذا هما
+
+295
+00:23:19,750 --> 00:23:22,750
+عشرة نيوتن واربعين نيوتن، الخمسة نيوتن قوة مش
+
+296
+00:23:22,750 --> 00:23:26,830
+مخاطرة، قوة موجودة غصب عنها، صح ولا لأ؟ هجي اتهدأ
+
+297
+00:23:26,830 --> 00:23:30,590
+انا، لو مسكته من هناك وكان هدف free، مش عص عليه،
+
+298
+00:23:30,590 --> 00:23:35,570
+ايش بيصير فيه؟ بنزل ولا بنزلش؟ بدور يعني، بدور
+
+299
+00:23:35,570 --> 00:23:41,210
+حوالي الأصبع، مين يتدوروا؟وزنه، صح؟ إذا الوزن عمل
+
+300
+00:23:41,210 --> 00:23:45,550
+torque ولا لأ؟ وزنه بعمل torque تلما الوزن لانه
+
+301
+00:23:45,550 --> 00:23:50,070
+قوة فجالي هاي وزن وهاي عندك كما اضفت 40 نيوتن ومن
+
+302
+00:23:50,070 --> 00:23:53,090
+هنا عشان نيوتن هيك find the total torque acting in
+
+303
+00:23:53,090 --> 00:23:57,290
+the rod about point O بيجي نعمل، بنفهم إن أنا
+
+304
+00:23:57,290 --> 00:23:59,550
+مازال بده torque، بيدحلي القوة سين وصادر وفقه
+
+305
+00:23:59,550 --> 00:24:07,070
+عمودي، هذه جاهزةو هذه جاهزة و هذه سهل للحلل شايفين
+
+306
+00:24:07,070 --> 00:24:12,450
+كده شبطر واحد مفيد؟ تمام؟ لإن اللي يعرفش بورا عشان
+
+307
+00:24:12,450 --> 00:24:15,130
+كده في ال final من جيمش عم يسأل شبطر واحد أي سؤال
+
+308
+00:24:15,130 --> 00:24:20,150
+يعمل خلاص ما هو اللي مش فاهمه حيوط عندى أكيد تمام؟
+
+309
+00:24:20,150 --> 00:24:27,250
+هذي إيش بيساوي فيها؟ بدي أقول هيك عشرة cosine 30 و
+
+310
+00:24:27,250 --> 00:24:34,370
+عشرةSin 30 مش 100 روحت ل 10 بطل عندى 3 قوة صاروا 4
+
+311
+00:24:34,370 --> 00:24:39,730
+و بدى يجيب ال torque ل 4 حوالين اى نقطة هى النقطة
+
+312
+00:24:39,730 --> 00:24:42,690
+اوه شايفين هى النقطة اوه لإن محور الدمران كتير مهم
+
+313
+00:24:43,700 --> 00:24:46,780
+محور الدوران لان انا باكيب الذراع من وين الذراع
+
+314
+00:24:46,780 --> 00:24:50,680
+مسافة بين قواه ومحور الدوران فمحور الدوران جدا مهم
+
+315
+00:24:50,680 --> 00:24:54,560
+و هو اللي بحدد معه و ضده لأنه لو اتغير محور
+
+316
+00:24:54,560 --> 00:24:58,280
+الدوران ممكن يصير المعه صدد و ضد معه يعني هاجة
+
+317
+00:24:58,280 --> 00:25:01,400
+عادي بشوفها لو كان محور الدوران هنا بصير هيك لو
+
+318
+00:25:01,400 --> 00:25:03,860
+كان محور الدوران بصير هيك فمعه عقرب الساعة و ضدها
+
+319
+00:25:03,860 --> 00:25:08,100
+عقرب الساعة انقلبت تمام؟ نيجي نشوف بدي الآن ال
+
+320
+00:25:08,100 --> 00:25:12,220
+torque ع كام torque بدي أجيب؟أربعة و بدي أنتبه مع
+
+321
+00:25:12,220 --> 00:25:16,980
+ولا ضد متفقين؟ برضه بديش في الآخر مكتوب ال ..
+
+322
+00:25:16,980 --> 00:25:22,060
+مكتوب ال total torque total بالساوية بدي واحد واحد
+
+323
+00:25:22,060 --> 00:25:29,620
+انتبهوني كلكم الاربعين شدوها و شوفوا هذا ه ..
+
+324
+00:25:29,620 --> 00:25:34,100
+شدوها و تنتبهوا ان هذا مثبت من النقطة O تمام؟ هم
+
+325
+00:25:34,100 --> 00:25:38,520
+إذا واحد شدي الرد الأخضر لتحت بدي لف مع ولا ضد؟في
+
+326
+00:25:38,520 --> 00:25:45,360
+خلاف؟ لأ مافيش خلاف إذا سالب اربعين كيف الذراع؟
+
+327
+00:25:45,360 --> 00:25:49,120
+خمس دقائق انتبهي لما سألت عن الذراع خمس دقائق انت
+
+328
+00:25:49,120 --> 00:25:53,100
+سألته خلاص و أنا بوحّب؟ لأ تمام الذراع وين محور
+
+329
+00:25:53,100 --> 00:25:58,580
+الدراي شايفها؟ بدي أنزل عمود محتاجة ألف .. أمدي
+
+330
+00:25:58,580 --> 00:26:02,980
+القوة ولا جاهزة منبودة؟ جاهزة طب يلّا ننزل عمود نص
+
+331
+00:26:02,980 --> 00:26:08,780
+متر و الله هي جاهزةصح ولا لا؟ إذا ناقص 40 في نص
+
+332
+00:26:08,780 --> 00:26:15,920
+خلاصنا إيش يلي جنبها؟ الخمسة كمان مرة أنا ماسكه من
+
+333
+00:26:15,920 --> 00:26:19,000
+هاج و بشده تحت طبعا انا حابب اقولش شجهته تحت لإن
+
+334
+00:26:19,000 --> 00:26:23,100
+هي تجاه القوة أنا مع تجاه القوة شجتنا تحت مع ولا
+
+335
+00:26:23,100 --> 00:26:30,180
+ضرر؟ مع إذا ناقص خمسة جديش المسافة؟ واحد جاهزة
+
+336
+00:26:30,180 --> 00:26:34,100
+تمام؟ أجينا لهاج
+
+337
+00:26:39,780 --> 00:26:43,360
+خافاشي لما تكونوا شغالة تخجلوش مين بتحكوه حتى لو
+
+338
+00:26:43,360 --> 00:26:47,840
+غلط انت حكيتي صح تفكري شوية حاجهية حتى لو كان غلط
+
+339
+00:26:47,840 --> 00:26:53,480
+لو حد بيحكي عن وجهة نظره و بيقاتل عليها هجتني جيني
+
+340
+00:26:53,480 --> 00:26:59,330
+اتطلعبدي أمسك من هال و بدي أشده هال بلوف؟ أصل
+
+341
+00:26:59,330 --> 00:27:03,130
+بلوفش لدني شغلة تانية بلعك أنا ماعرفش هيك يا أخي
+
+342
+00:27:03,130 --> 00:27:08,330
+موجب سالب خلّيني أخبص موجب ها حطيت زياد موجب وهي
+
+343
+00:27:08,330 --> 00:27:11,710
+عشرة قصاني التلاتين يلا يا شاطرين نجيب ال torque
+
+344
+00:27:11,710 --> 00:27:17,710
+انت بيجيبيني الذراع لهادي ثم ثم شوية لو قلتلك أنتي
+
+345
+00:27:17,710 --> 00:27:25,720
+أنا بدي الذراع لهذه القوة يعني كدش الذراع؟ سفرسفر
+
+346
+00:27:25,720 --> 00:27:30,540
+فتنعد سفر هي تمام؟ فتنعد سفر ليش؟ علماش مايجي أسوي
+
+347
+00:27:30,540 --> 00:27:35,220
+بدي نزل عمود من هنا للقوة هذه و جالي مدها مديت فقط
+
+348
+00:27:35,220 --> 00:27:46,480
+نزل عمود في .. في مسافة؟ كدش المسافة؟ اذا Zero وإن
+
+349
+00:27:46,480 --> 00:27:51,560
+شاء الله مليون ضربناها سفر وروح طيب نجي لها عادي
+
+350
+00:27:52,940 --> 00:27:56,700
+انسى كل حاجة إلا القوة هذه هذا ال road شدى طولة
+
+351
+00:27:56,700 --> 00:28:02,380
+فوق معاه ولا ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+352
+00:28:02,380 --> 00:28:02,620
+ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+353
+00:28:02,620 --> 00:28:11,020
+ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد ضد
+
+354
+00:28:11,020 --> 00:28:21,720
+ضد ض
+
+355
+00:28:22,750 --> 00:28:27,010
+دكتور؟ والسؤال حلو؟ طيب الحمد لله انا قد بديال
+
+356
+00:28:27,010 --> 00:28:32,290
+اخير، مين تحكي؟ احنا ممكن بدل ما نجيب اشارات ضد او
+
+357
+00:28:32,290 --> 00:28:35,090
+معقلة بالساعة يعني على اساس ان هذا مستوى ذكارتي ان
+
+358
+00:28:35,090 --> 00:28:37,830
+فوق موجة بتاعت سالم يعني على القوة
+
+359
+00:28:44,030 --> 00:28:47,510
+قطعاً خطأ يعني أقولك أنا .. تقولش شخص ما تفهمش ليش
+
+360
+00:28:47,510 --> 00:28:52,010
+متغلبنا مع أو ضد؟ خلاص فوق موجب و فوق سالب عمرك
+
+361
+00:28:52,010 --> 00:28:56,430
+كفي، ضبط بحق، ضبط مع حبايب الشخص طيب أنا أديكي
+
+362
+00:28:56,430 --> 00:29:08,650
+تثبت و لا تثبتش انت
+
+363
+00:29:08,650 --> 00:29:12,430
+أساسا بتقول هذا موجب و هذا سالب و خلاص ريحنا حقاهب
+
+364
+00:29:12,430 --> 00:29:17,010
+هيك بتقول هي تمام؟ نيدي نتطلع فاكريلي فيه هذا كيف
+
+365
+00:29:17,010 --> 00:29:22,250
+بيعملها؟ مع ولا ضرر؟ مع و هذا؟ بذر مع ساعتك انت
+
+366
+00:29:22,250 --> 00:29:25,370
+مرة بتلف من يمين و مرة بتلف من الميان الساعة ساعة
+
+367
+00:29:25,370 --> 00:29:28,850
+حاجات لما تلف الساعة ايه تبيلف هذا؟ مع قريب الساعة
+
+368
+00:29:28,850 --> 00:29:34,170
+و هذا؟ مع قريب الساعة التنتين مع قريب الساعة اذا
+
+369
+00:29:34,170 --> 00:29:40,010
+فوق و تحت مش قاعدة تمام؟ ايش؟
+
+370
+00:29:42,470 --> 00:29:46,210
+عيده؟ واضحة؟ لأن الانتين بيعملوا معاها قريب الساعة
+
+371
+00:29:46,210 --> 00:29:49,530
+مع أنه واحد فوق وواحد تحت إذا فرتيكي من فوق وتحت
+
+372
+00:29:49,530 --> 00:29:51,650
+وإحنا كنا .. مش إنا في هالشغل .. مش إنا في الساعة
+
+373
+00:29:51,650 --> 00:29:54,550
+و .. و إنا اتحملت منها كان من زمان بيقولنا خلاص
+
+374
+00:29:54,550 --> 00:30:01,010
+فوق وتحت ورايحنا حالة واضحة هذه؟ طبعاشي لأكثر محور
+
+375
+00:30:01,010 --> 00:30:04,370
+الدوران غيرت بس محور الدوران خلته في النص تمام؟
+
+376
+00:30:04,370 --> 00:30:12,650
+طيب اللي كتبنا توي بس نعيده بخطة أحلىحللت واحد
+
+377
+00:30:12,650 --> 00:30:16,350
+عامله ضربة واحدةتمام .. اه ده بس اشتغلت
+
+378
+00:30:16,350 --> 00:30:20,290
+بالكالكولاتة و طلعت ناقص خمس عشر نيوتر بنيتر .. اه
+
+379
+00:30:20,290 --> 00:30:24,070
+.. كله سطر .. شوف جديش انا اتعبت انا و انا رايح
+
+380
+00:30:24,070 --> 00:30:28,730
+جاي و تسألوني على سطط .. ارجع اليك .. النتيجة
+
+381
+00:30:28,730 --> 00:30:32,030
+النهاية موجب ولا سالبة .. يعني في الأخر الروت بطلع
+
+382
+00:30:32,030 --> 00:30:35,750
+ولا بنزل .. يعني معقلب الساعة .. المهم المعصلة
+
+383
+00:30:35,750 --> 00:30:39,370
+اللي بتشوفه في النهاية .. حلو .. جالي اللي قال هذا
+
+384
+00:30:39,370 --> 00:30:42,810
+ال torque يعني علمتك تجيب ال torque ..و الشبتر
+
+385
+00:30:42,810 --> 00:30:44,930
+اللي جاي ان شاء الله تقولي بفهمش اجيب ال torque ..
+
+386
+00:30:44,930 --> 00:30:47,710
+الشبتر اللي جاي .. عدوا اجا .. هالجهة تقولي هذا ال
+
+387
+00:30:47,710 --> 00:30:51,150
+torque ليش بتعلمنيه؟ بدي اربطه مع ال angular
+
+388
+00:30:51,150 --> 00:30:57,370
+acceleration اللي هي Alpha ..
+
+389
+00:30:57,370 --> 00:31:01,230
+الان انا وياكم بدي اشتقلوا ال Newton التاني .. ال
+
+390
+00:31:01,230 --> 00:31:04,830
+Newton التاني .. في حد مش حافظه؟ مين اللي اجيلني
+
+391
+00:31:04,830 --> 00:31:06,170
+اياك ال Newton التاني؟
+
+392
+00:31:09,680 --> 00:31:15,760
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+393
+00:31:15,760 --> 00:31:16,820
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+394
+00:31:16,820 --> 00:31:19,400
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+395
+00:31:19,400 --> 00:31:19,960
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+396
+00:31:19,960 --> 00:31:22,120
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+397
+00:31:22,120 --> 00:31:22,340
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+398
+00:31:25,680 --> 00:31:29,940
+هذه هي الـ Torque من المسؤول عن أي جسم يتحرك بشكل
+
+399
+00:31:29,940 --> 00:31:34,360
+خطيء بقوله قوة هاه ده كيف بتحركها؟ شجها ولا عملها؟
+
+400
+00:31:34,360 --> 00:31:39,440
+زعلها؟ من المسؤول عن إن يخلي أي حاجة تدور؟ بقوله
+
+401
+00:31:39,440 --> 00:31:43,200
+مش قوة ولا حاجة بتكفيش لإن هذه الهواية لو جيبت حبل
+
+402
+00:31:43,200 --> 00:31:47,520
+من النص و ربطت وضلت ناشج منها اللي بكرا بتدور؟
+
+403
+00:31:47,520 --> 00:31:52,330
+تجيبوا حبل صغير ولا أي حاجة مو هيك بتدوربقى أنها
+
+404
+00:31:52,330 --> 00:31:55,050
+قوة خفيفة دورتها، وقوة مافيش أكبر منها،
+
+405
+00:31:55,050 --> 00:31:58,170
+مادورتهااش، إذا بتبطل القوة هي المسؤولة على
+
+406
+00:31:58,170 --> 00:32:02,650
+دوراها، بالصير اللي راقله عامل أساسي، صحيح ولا لأ؟
+
+407
+00:32:02,650 --> 00:32:06,430
+زي ما احنا اتفقنا إن الباب كيف بدي أخليه يفتح عشان
+
+408
+00:32:06,430 --> 00:32:09,830
+يدور، لو أنا هادي الأكره، إجي اللجارة أعمى وحطي
+
+409
+00:32:09,830 --> 00:32:13,330
+ليها هنا على الطرف، أضلك من هالة لبكرة، شد فيها
+
+410
+00:32:13,330 --> 00:32:16,370
+الأكره، افتح يا باب، أنا مش عادي أفتحي البابفهي
+
+411
+00:32:16,370 --> 00:32:20,410
+انا جاوي و في قوة و جيبنا عشر رجال و القوة موجودة
+
+412
+00:32:20,410 --> 00:32:24,850
+لكن مافتحش ايه ده ولد صغير لما اقره هنا اعمل هكليه
+
+413
+00:32:24,850 --> 00:32:32,950
+فتح الباب اذا اختلفت القوة تمام مزعج صح فهو عم
+
+414
+00:32:32,950 --> 00:32:37,990
+يجمدني و هو عم يجمدني بس
+
+415
+00:32:37,990 --> 00:32:41,150
+ان شاء الله مايجمديش كل مرة خليني ..
+
+416
+00:32:50,290 --> 00:32:56,230
+خلّيني افتقر ان الكمية
+
+417
+00:32:56,230 --> 00:32:59,250
+الفيزيائية اللى تناظر القوة هي ال torque
+
+418
+00:33:05,160 --> 00:33:09,560
+consider a force F هذي acting on a rigid body free
+
+419
+00:33:09,560 --> 00:33:12,860
+to rotate about point O وهذا مثل الهوالة التي
+
+420
+00:33:12,860 --> 00:33:16,360
+اتفقنا عليها وهي نقطة دورانها تمام؟ ممكن تدور بهذا
+
+421
+00:33:16,360 --> 00:33:21,240
+الشكل تمام؟ during the infinitesimal time dt تقول
+
+422
+00:33:21,240 --> 00:33:24,140
+أن الهوالة بتدور بعد مدة معينة، النقطة هذي بتصير
+
+423
+00:33:24,140 --> 00:33:31,190
+هنا صحيح ولا لأ؟ بتلف فيك تمام؟ the element Bof
+
+424
+00:33:31,190 --> 00:33:35,610
+mass dm will move an infinitesimal distance ds
+
+425
+00:33:35,610 --> 00:33:41,790
+بتعملها الجثث هذا تمام حلو along a circular path
+
+426
+00:33:41,790 --> 00:33:44,270
+of radius R as the body rotated through an
+
+427
+00:33:44,270 --> 00:33:47,750
+infinitesimal angle d θ احنا بنعرف ان d θ بيسوء R
+
+428
+00:33:47,750 --> 00:33:52,330
+d θ ds بيسوء R d θ الجثث بيسوء نصف قطر في الزاوية
+
+429
+00:33:52,330 --> 00:33:56,460
+المحصورة مافيش مشكلةطيب .. جالي خلّيني أجيب ال
+
+430
+00:33:56,460 --> 00:33:59,120
+torque .. خلّيني أجيب ال torque .. خلّيني أحل
+
+431
+00:33:59,120 --> 00:34:02,700
+القوة .. بس الآن بدي أحللها إلى مراكبتين أسالي
+
+432
+00:34:02,700 --> 00:34:06,060
+مراكبة ممسية و مراكبة نصف قطرية .. بصح اللي؟ مش
+
+433
+00:34:06,060 --> 00:34:10,020
+مراكبتين متعامدتين؟ ليش؟ جالي المراكبة النصف قطرية
+
+434
+00:34:10,020 --> 00:34:15,870
+بتمر في المركزصح؟ ليش سميتها نُص قطرية؟ عشان أنا
+
+435
+00:34:15,870 --> 00:34:18,430
+بتجيب عن صدقتها في نُص قطر بمورش في المركز يا
+
+436
+00:34:18,430 --> 00:34:22,950
+بنات؟ طيب القوة اللي المرة حللتها و جبتولي عزمها
+
+437
+00:34:22,950 --> 00:34:28,270
+zero ليش؟ لأنه مديتها وصلت المركز كل قوة بتمر في
+
+438
+00:34:28,270 --> 00:34:34,030
+المركز إلها عزم؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+439
+00:34:34,030 --> 00:34:35,990
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+440
+00:34:35,990 --> 00:34:41,120
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ ليعني النص
+
+441
+00:34:41,120 --> 00:34:46,460
+القطر هو ذراع لقوة مماسية صح ولا لأ؟ اذا نحللها
+
+442
+00:34:46,460 --> 00:34:50,240
+هذه القوة اللي عندك من غلبك أف إلى قوة tangential
+
+443
+00:34:50,240 --> 00:34:55,100
+وقوة radial radial يعني على أسافر الأقطار وهذه
+
+444
+00:34:55,100 --> 00:34:59,520
+tangential ال tangential يعني مماس عزمها نص قطر صح
+
+445
+00:34:59,520 --> 00:35:04,350
+ولا لأ؟ و ال radial مدها مالهاش عزمفحيح ولا لا؟
+
+446
+00:35:04,350 --> 00:35:07,390
+قال لي خلينا نجيب ال tour قال لي والله بس ال
+
+447
+00:35:07,390 --> 00:35:12,050
+tangential و ال R وهذه روحها تعرفنا إيه روحها وهذه
+
+448
+00:35:12,050 --> 00:35:17,870
+R هي نص القطر هي الذراع تبعها قال لي حلو هجيتي ال
+
+449
+00:35:17,870 --> 00:35:24,300
+FTمن قانون نيوتن بيقول بيسوي الكتلة في M A center
+
+450
+00:35:24,300 --> 00:35:28,920
+of mass tangential خدناها في الشبطار التالت، تمام؟
+
+451
+00:35:28,920 --> 00:35:35,540
+يعني لو أحد بيقولي أنت صعب تقول Fx بيسوي M Ax، لأ،
+
+452
+00:35:35,540 --> 00:35:41,830
+قال لي ف Ft بيسوي M Atانت تتعامل مع body كبير جالي
+
+453
+00:35:41,830 --> 00:35:44,770
+لما تتعامل مع body كبير بتنسى كل القوة اللى
+
+454
+00:35:44,770 --> 00:35:49,310
+الخارجية بس بشرط بتتعامل مع ال center of mass صحيح
+
+455
+00:35:49,310 --> 00:35:53,210
+ولا لا؟ وكتير quizات ونصبكم وانتوا بتحلوا في ال
+
+456
+00:35:53,210 --> 00:35:57,830
+quiz انه انا بركز على ال center of mass طيب اذا
+
+457
+00:35:57,830 --> 00:36:02,210
+معناته هادي تانجينشا center of mass بس center of
+
+458
+00:36:02,210 --> 00:36:07,230
+mass وهادي كتلة كلية و تانجينشا حلوقال لي عندك
+
+459
+00:36:07,230 --> 00:36:12,990
+معلومة أن الـ A center of mass بتساوي او خلّيني
+
+460
+00:36:12,990 --> 00:36:17,190
+أذكركم فيها بإمشي خلّيني أكتب كتير تعبتني اليوم
+
+461
+00:36:17,190 --> 00:36:21,910
+أنا بكتب زمان ما كتب لأ R center of mass بتساوي ال
+
+462
+00:36:21,910 --> 00:36:30,190
+summation mi ri على كبة ال M صحيح؟ طيب إذا V
+
+463
+00:36:30,190 --> 00:36:34,490
+center of mass بتساوي ال summation mi vi على كبة
+
+464
+00:36:34,490 --> 00:36:39,180
+ال Mصحيح؟ اشتقت من اسفل الزمن اتنين تاير اشتق كمان
+
+465
+00:36:39,180 --> 00:36:44,160
+مرة بيصير ايه center of mass summation M I A I على
+
+466
+00:36:44,160 --> 00:36:52,740
+كبير كال M شبطر سبعة تمانية من ستين ارخام الشباتر
+
+467
+00:36:52,740 --> 00:36:57,780
+اذا معناته انا هادي مضروبة في هادي مايقدر احط محله
+
+468
+00:36:57,780 --> 00:37:03,280
+مادول اه فقولت M A center of mass بتساوي M I A
+
+469
+00:37:03,280 --> 00:37:08,370
+tangential Iحلو و هذه بتساوي اذا لم تقدر تعمل
+
+470
+00:37:08,370 --> 00:37:13,790
+summation فتعمل ات دي ام بدل م اي دي ام صحيح اخدنا
+
+471
+00:37:13,790 --> 00:37:21,170
+كل هذا طيب قال لي اذا ال torque صار عبارة عن ار ات
+
+472
+00:37:21,170 --> 00:37:27,330
+دي ام ار دي ام ار دي ام قال لي طيب في عندك قناقة
+
+473
+00:37:27,330 --> 00:37:34,000
+ما بين الفا والات انجينشانجلبوا المحاضرة الماضية
+
+474
+00:37:34,000 --> 00:37:38,140
+قولنا a tangential ايش بيساوي علاقتها بالألفة؟
+
+475
+00:37:38,140 --> 00:37:41,240
+بتقولوا تتنجلونيها بس اناكم افتحوا كتبكم مش
+
+476
+00:37:41,240 --> 00:37:44,980
+مديشاكم تحفظوها مديشاكم تحفظوها بس انتوا تنجلونيها
+
+477
+00:37:44,980 --> 00:37:50,840
+ال a بيساوي r بالألفة يعني انت موجودة لجيتوها في
+
+478
+00:37:50,840 --> 00:37:53,540
+المحاضرة الماضية عشان كده أنا بس اناكم يعني ماكنوش
+
+479
+00:37:53,540 --> 00:38:00,300
+بتجلبوا صفحات كتيرة a theta او a tangential سوى r
+
+480
+00:38:00,300 --> 00:38:05,190
+في الفةصح؟ عرفتوها يعني، مديش ياكم تحفظوها
+
+481
+00:38:05,190 --> 00:38:08,630
+بقولكوا، بعدين هتحفظوها غصب عنكم، بس هلجيت إنها
+
+482
+00:38:08,630 --> 00:38:12,470
+أخدناها المحاضرة الماضية، بدي أجيب هادي، هادي
+
+483
+00:38:12,470 --> 00:38:17,890
+شايفينها؟ و أحط مكانها إيش؟ هجيت لأي اسم دوار،
+
+484
+00:38:17,890 --> 00:38:21,810
+Alpha بتتغير من نقطة لنقطة؟ يعني ثابتة؟ بتخليها
+
+485
+00:38:21,810 --> 00:38:27,300
+عبارة عن تكامل؟ يعني هادي بتصير، و RRيعني هذه
+
+486
+00:38:27,300 --> 00:38:31,420
+Alpha وهذه R تربيه DM من يقول لي هذه الشيء؟ برضه
+
+487
+00:38:31,420 --> 00:38:35,960
+يقلبوا على صفحة المحاضرة الماضية I .. I .. I .. I
+
+488
+00:38:35,960 --> 00:38:37,160
+.. I .. I .. I .. I .. I .. I .. I .. I .. I .. I
+
+489
+00:38:37,160 --> 00:38:37,200
+.. I .. I .. I .. I .. I .. I .. I .. I .. I .. I
+
+490
+00:38:37,200 --> 00:38:37,860
+.. I .. I .. I .. I .. I .. I .. I .. I .. I .. I
+
+491
+00:38:37,860 --> 00:38:38,640
+.. I .. I .. I .. I .. I .. I .. I .. I .. I .. I
+
+492
+00:38:38,640 --> 00:38:38,660
+.. I .. I .. I .. I .. I .. I .. I .. I .. I .. I
+
+493
+00:38:38,660 --> 00:38:39,200
+.. I .. I .. I .. I .. I .. I .. I .. I .. I .. I
+
+494
+00:38:39,200 --> 00:38:41,000
+.. I .. I .. I .. I .. I .. I .. I .. I .. I .. I
+
+495
+00:38:41,000 --> 00:38:44,640
+.. I .. I .. I .. I .. I .. I ..
+
+496
+00:38:44,640 --> 00:38:47,640
+I .. I ..
+
+497
+00:38:54,820 --> 00:38:59,100
+ف بيساوي عن ايه؟ تاو بيساوي عن I فالف هذا قانون ال
+
+498
+00:38:59,100 --> 00:39:04,160
+نيوتن التاني في الحركة الدورانية if there is more
+
+499
+00:39:04,160 --> 00:39:06,460
+than one force بيقول إذا في عندك أكتر من القوة
+
+500
+00:39:06,460 --> 00:39:11,020
+بتجمع بيصلي عندك مجموع طوك عشان تحلو أكتر تمام؟
+
+501
+00:39:11,020 --> 00:39:13,960
+لأن القانون تبع ال نيوتن كان بيقول صمش لل F بيقول
+
+502
+00:39:13,960 --> 00:39:19,400
+صمش لل تاو يا سيدي مالهاش تاو لعالم تمام؟أذن هيش
+
+503
+00:39:19,400 --> 00:39:23,720
+بيقولين الـ last equation can be considered as a
+
+504
+00:39:23,720 --> 00:39:29,180
+Newton's second law in rotational motion الآن صار
+
+505
+00:39:29,180 --> 00:39:36,220
+في عندى بس أجمل قبل ما أروح نرجع أقول X إيه صار
+
+506
+00:39:36,220 --> 00:39:47,970
+محلها؟ فاتر و V؟ Omega و A؟و M و I و F ال Talk ال
+
+507
+00:39:47,970 --> 00:39:52,210
+Tao فهذه ال Tao عشان تفصلوها عن ال T بتاعك ال
+
+508
+00:39:52,210 --> 00:39:55,510
+English ال Tao باللغة اليونانية، ال Tao تمام؟ مهم
+
+509
+00:39:55,510 --> 00:39:59,190
+مش لو جورتوا T بس هي هي ال Tao يعني تمام هيك؟ إذا
+
+510
+00:39:59,190 --> 00:40:03,870
+الأن بيصعبنا نكتب، بيشوف إيش بيطلع عنا لسهأحكيش ..
+
+511
+00:40:03,870 --> 00:40:06,590
+إشتقاقات .. يعني إحنا كيف نبناهم .. مطالبيننا؟
+
+512
+00:40:06,590 --> 00:40:09,850
+الحمد لله أني أنا ما طلبتكوش إياهم .. يا وردي
+
+513
+00:40:09,850 --> 00:40:12,790
+مسهلني .. يعني ما نكملش .. سنفين مسهلني؟ إشتقاقات
+
+514
+00:40:12,790 --> 00:40:17,830
+الصعبة مابقروحاش .. الإشتقاق .. إفهمتوها بس ..
+
+515
+00:40:17,830 --> 00:40:20,730
+لمرة واحدة .. مابديش أكتر من كده .. مابديش يا
+
+516
+00:40:20,730 --> 00:40:24,650
+ملابسكم تبصموها ولا تحفظوها ولا تعيدوها مرتين و
+
+517
+00:40:24,650 --> 00:40:27,790
+تلاتة للمجالبة من الانتحار .. بس إنوا إشتقاق ..
+
+518
+00:40:27,790 --> 00:40:30,790
+مين إيديكم؟ متناول إيديكم .. فاهمينوا .. على الأقل
+
+519
+00:40:30,790 --> 00:40:35,290
+..تمام المراجعة ححل عليه القانون الهدى زي ما ازهجك
+
+520
+00:40:35,290 --> 00:40:38,190
+و انا احل على F تساوي N ايه؟ بدنا نزهج و هنحل على
+
+521
+00:40:38,190 --> 00:40:40,390
+T و تساوي I؟ ياله فيعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/h5R01kGnIBE_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/h5R01kGnIBE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1cf67cec8a571980e77e166ee437b4b70a7baf90
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/h5R01kGnIBE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4986, "start": 21.56, "end": 49.86, "text": "نسمي بسم الله الرحمن الرحيم و نستقن في شرح chapter 10 احنا اتفقنا ان chapter 10 بيحكي عن rotational motion و في هذا ال chapter بنحاول نعيد كل القوانين اللي بتتحكم في الحركة في السابق و نتحرك على حركة خطية و الآن نتحرك على حركة دورانية و بالتالي نتوقع كل كمية فيزيائية مرت علينا في الشباتر الماضية نكررها و نجيب لها كمية مناضرة مش بالضرورة تكون مساوية", "tokens": [1863, 38251, 1829, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 8717, 14851, 4587, 1863, 8978, 13412, 2288, 5016, 7187, 1266, 1975, 5016, 8315, 1975, 2655, 5172, 4587, 8315, 16472, 7187, 1266, 4724, 1829, 5016, 4117, 1829, 18871, 45420, 5394, 4032, 8978, 23758, 2423, 7187, 44945, 5016, 995, 12610, 8717, 3615, 25708, 28242, 25062, 2407, 7649, 9957, 13672, 1829, 39894, 2655, 5016, 24793, 8978, 21542, 31747, 3660, 8978, 21136, 16758, 4587, 4032, 8717, 2655, 5016, 31747, 15844, 11331, 31747, 3660, 16490, 9566, 10632, 4032, 6024, 48506, 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"text": "فاتفقنا أننا أصبحنا جايبين الإزاحة أصبحت ثيتا الفلوسيتي أصبحت أوميجا الأكسليريشن أصبحت ألفا والماس غيرناها وصارت moment of inertia I الان بنتعامل مع كمية فيزيائية جديدة بنسميها ال torque", "tokens": [5172, 9307, 5172, 4587, 8315, 14739, 8315, 5551, 9381, 49628, 8315, 10874, 47302, 3555, 9957, 33688, 11622, 39319, 3660, 5551, 9381, 3555, 33753, 38637, 36081, 995, 27188, 1211, 41779, 1829, 31371, 5551, 9381, 3555, 33753, 5551, 20498, 1829, 7435, 995, 16247, 4117, 3794, 1211, 13546, 1829, 8592, 1863, 5551, 9381, 3555, 33753, 5551, 46538, 995, 16070, 15042, 3794, 32771, 13546, 8315, 11296, 4032, 9381, 9640, 2655, 1623, 295, 37234, 286, 2423, 7649, 44945, 2655, 3615, 10943, 1211, 20449, 9122, 2304, 10632, 8978, 11622, 1829, 16373, 10632, 10874, 16254, 41891, 44945, 38251, 1829, 11296, 2423, 16437], "avg_logprob": -0.3723958460614085, "compression_ratio": 1.6262626262626263, "no_speech_prob": 0.0, "words": [{"start": 50.96, "end": 51.88, "word": "فاتفقنا", "probability": 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صيني الزاوية اللي هي هذه الكمية", "tokens": [49, 1783, 479, 479, 31439, 25062, 2407, 3660, 4032, 49, 31439, 9673, 3794, 31845, 3660, 49374, 8717, 47432, 3660, 25062, 2407, 3660, 5296, 7435, 3224, 3660, 16712, 5016, 12610, 4032, 3555, 6027, 2655, 6027, 1829, 2423, 39184, 7160, 1077, 39896, 9122, 2304, 10632, 6156, 16373, 27884, 5296, 15042, 5551, 31371, 8315, 8717, 39648, 316, 1783, 363, 1975, 2655, 3615, 19528, 8315, 8978, 25124, 3555, 9566, 1863, 16247, 12610, 39894, 3794, 45865, 316, 8978, 363, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 6156, 4587, 1211, 8315, 11933, 15730, 29538, 497, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 8978, 479, 497, 8978, 479, 8978, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 23032, 1211, 3615, 8315, 15844, 497, 20328, 9957, 1829, 6024, 110, 995, 2407, 10632, 13672, 1829, 39896, 29538, 33251, 2304, 10632], "avg_logprob": -0.3621323560090626, "compression_ratio": 2.0493273542600896, "no_speech_prob": 2.384185791015625e-07, "words": 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226.22, "end": 244.14, "text": "هذه أديسة المسافة بعرفها وهذه الذراع فشواتور القوة في العمودي اللي نزلته مش أكتر is called the moment arm of the force and is defined as the perpendicular distance from the point of rotation to the line of action of the force", "tokens": [3224, 24192, 5551, 16254, 3794, 3660, 9673, 3794, 31845, 3660, 45030, 28480, 11296, 37037, 24192, 32545, 23557, 3615, 6156, 8592, 2407, 9307, 13063, 25062, 2407, 3660, 8978, 18863, 2304, 2407, 16254, 13672, 1829, 8717, 11622, 1211, 47395, 37893, 5551, 4117, 2655, 2288, 307, 1219, 264, 1623, 3726, 295, 264, 3464, 293, 307, 7642, 382, 264, 26734, 4560, 490, 264, 935, 295, 12447, 281, 264, 1622, 295, 3069, 295, 264, 3464], "avg_logprob": -0.2614436518978065, "compression_ratio": 1.4747474747474747, "no_speech_prob": 0.0, "words": [{"start": 226.22, "end": 226.66, "word": "هذه", "probability": 0.880615234375}, {"start": 226.66, "end": 227.08, "word": " أديسة", "probability": 0.52325439453125}, {"start": 227.08, "end": 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أفكه سن الستين و هذي أفسه سن الستين تمام و بالتالي لما أجيت هذي بدي أعمل ال torque تبعها و هذي بدي أعمل ال torque تبع الذراع مديتهم عشان أقدر أجيب المسافة العمودية قاللي الآن هذي الحمرة ذراع هذي صحيح؟", "tokens": [6027, 7578, 3714, 31747, 49401, 8608, 9957, 10632, 4032, 3714, 31747, 49401, 20328, 18513, 10632, 8032, 3215, 995, 8032, 15042, 16712, 9957, 6055, 7649, 1829, 46811, 10943, 8032, 8848, 1829, 5551, 5172, 4117, 3224, 8608, 1863, 2423, 14851, 9957, 4032, 8032, 8848, 1829, 5551, 5172, 3794, 3224, 8608, 1863, 21136, 2655, 9957, 46811, 10943, 4032, 20666, 2655, 6027, 1829, 5296, 15042, 5551, 7435, 36081, 8032, 8848, 1829, 4724, 16254, 5551, 25957, 1211, 2423, 16437, 6055, 3555, 3615, 11296, 4032, 8032, 8848, 1829, 4724, 16254, 5551, 25957, 1211, 2423, 16437, 6055, 3555, 3615, 32545, 23557, 3615, 3714, 16254, 2655, 16095, 6225, 8592, 7649, 5551, 28543, 2288, 5551, 7435, 1829, 3555, 9673, 3794, 31845, 3660, 18863, 2304, 23328, 10632, 50239, 20292, 6024, 48506, 8032, 8848, 1829, 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"temperature": 1.0}, {"id": 42, "seek": 106216, "start": 1036.22, "end": 1062.16, "text": "نقص لأنه هادي مع قريب الساعة فحدد سالب أفكو صين ال 60 في نص صين ال 30 اللي هي هادي تم جمع لجهة 2.5 نيوتن بالمتل و 2.5 نيوتن بالمتل مافيش عندي إشكلين اتحلل القوة أحسنكم لأنه إذا ماحللناش القوة حصلنا عملي صعوبة إن كيف نجيب الذراع", "tokens": [1863, 4587, 9381, 5296, 33456, 3224, 8032, 995, 16254, 20449, 12174, 16572, 3555, 21136, 995, 27884, 6156, 24401, 3215, 8608, 6027, 3555, 5551, 5172, 4117, 2407, 20328, 9957, 2423, 4060, 8978, 8717, 9381, 20328, 9957, 2423, 2217, 13672, 1829, 39896, 8032, 995, 16254, 46811, 10874, 2304, 3615, 5296, 7435, 3224, 3660, 568, 13, 20, 8717, 1829, 35473, 1863, 20666, 2304, 2655, 1211, 4032, 568, 13, 20, 8717, 1829, 35473, 1863, 20666, 2304, 2655, 1211, 19446, 41185, 8592, 6225, 1863, 16254, 11933, 8592, 28820, 9957, 1975, 2655, 5016, 1211, 1211, 25062, 2407, 3660, 5551, 5016, 3794, 1863, 24793, 5296, 33456, 3224, 11933, 15730, 19446, 5016, 1211, 1211, 1863, 33599, 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0.89404296875}, {"start": 2420.21, "end": 2420.59, "word": " مابديش", "probability": 0.909423828125}, {"start": 2420.59, "end": 2420.73, "word": " يا", "probability": 0.845703125}, {"start": 2420.73, "end": 2421.25, "word": " ملابسكم", "probability": 0.72314453125}, {"start": 2421.25, "end": 2422.25, "word": " تبصموها", "probability": 0.73443603515625}, {"start": 2422.25, "end": 2422.73, "word": " ولا", "probability": 0.474853515625}, {"start": 2422.73, "end": 2423.45, "word": " تحفظوها", "probability": 0.9453938802083334}, {"start": 2423.45, "end": 2423.85, "word": " ولا", "probability": 0.94482421875}, {"start": 2423.85, "end": 2424.23, "word": " تعيدوها", "probability": 0.7835693359375}, {"start": 2424.23, "end": 2424.57, "word": " مرتين", "probability": 0.9850260416666666}, {"start": 2424.57, "end": 2424.65, "word": " و", "probability": 0.73779296875}, {"start": 2424.65, "end": 2424.99, "word": " تلاتة", "probability": 0.822021484375}, {"start": 2424.99, "end": 2425.49, "word": " للمجالبة", "probability": 0.650732421875}, {"start": 2425.49, "end": 2425.61, "word": " من", "probability": 0.76806640625}, {"start": 2425.61, "end": 2426.11, "word": " الانتحار", "probability": 0.7771484375}, {"start": 2426.11, "end": 2426.51, "word": " ..", "probability": 0.494384765625}, {"start": 2426.51, "end": 2426.81, "word": " بس", "probability": 0.99609375}, {"start": 2426.81, "end": 2427.15, "word": " إنوا", "probability": 0.5245361328125}, {"start": 2427.15, "end": 2427.69, "word": " إشتقاق", "probability": 0.942138671875}, {"start": 2427.69, "end": 2427.79, "word": " ..", "probability": 0.60791015625}, {"start": 2427.79, "end": 2428.03, "word": " مين", "probability": 0.478759765625}, {"start": 2428.03, "end": 2428.43, "word": " إيديكم؟", "probability": 0.769140625}, {"start": 2428.43, "end": 2428.79, "word": " متناول", "probability": 0.7013346354166666}, {"start": 2428.79, "end": 2429.25, "word": " إيديكم", "probability": 0.9437255859375}, {"start": 2429.25, "end": 2429.55, "word": " ..", "probability": 0.438232421875}, {"start": 2429.55, "end": 2430.09, "word": " فاهمينوا", "probability": 0.92333984375}, {"start": 2430.09, "end": 2430.27, "word": " ..", "probability": 0.71728515625}, {"start": 2430.27, "end": 2430.43, "word": " على", "probability": 0.9345703125}, {"start": 2430.43, "end": 2430.79, "word": " الأقل", "probability": 0.9134114583333334}, {"start": 2430.79, "end": 2430.91, "word": " ..", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 98, "seek": 244039, "start": 2432.19, "end": 2440.39, "text": "تمام المراجعة ححل عليه القانون الهدى زي ما ازهجك و انا احل على F تساوي N ايه؟ بدنا نزهج و هنحل على T و تساوي I؟ ياله فيعطيكوا العافية", "tokens": [39237, 10943, 9673, 2288, 26108, 27884, 11331, 5016, 1211, 47356, 25062, 7649, 11536, 2423, 3224, 3215, 7578, 30767, 1829, 19446, 1975, 11622, 3224, 7435, 4117, 4032, 1975, 8315, 1975, 5016, 1211, 15844, 479, 6055, 3794, 995, 45865, 426, 1975, 1829, 3224, 22807, 47525, 8315, 8717, 11622, 3224, 7435, 4032, 8032, 1863, 5016, 1211, 15844, 314, 4032, 6055, 3794, 995, 45865, 286, 22807, 7251, 6027, 3224, 8978, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.4400000023841858, "compression_ratio": 1.6137931034482758, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2432.19, "end": 2432.63, "word": "تمام", "probability": 0.6947021484375}, {"start": 2432.63, "end": 2433.17, "word": " المراجعة", "probability": 0.63287353515625}, {"start": 2433.17, "end": 2433.47, "word": " ححل", "probability": 0.65869140625}, {"start": 2433.47, "end": 2433.67, "word": " عليه", "probability": 0.448974609375}, {"start": 2433.67, "end": 2434.01, "word": " القانون", "probability": 0.8401692708333334}, {"start": 2434.01, "end": 2434.35, "word": " الهدى", "probability": 0.64715576171875}, {"start": 2434.35, "end": 2434.85, "word": " زي", "probability": 0.792724609375}, {"start": 2434.85, "end": 2434.95, "word": " ما", "probability": 0.94287109375}, {"start": 2434.95, "end": 2435.29, "word": " ازهجك", "probability": 0.585107421875}, {"start": 2435.29, "end": 2435.35, "word": " و", "probability": 0.79638671875}, {"start": 2435.35, "end": 2435.43, "word": " انا", "probability": 0.624755859375}, {"start": 2435.43, "end": 2435.63, "word": " احل", "probability": 0.6936848958333334}, {"start": 2435.63, "end": 2435.81, "word": " على", "probability": 0.49365234375}, {"start": 2435.81, "end": 2436.01, "word": " F", "probability": 0.60107421875}, {"start": 2436.01, "end": 2436.35, "word": " تساوي", "probability": 0.72760009765625}, {"start": 2436.35, "end": 2436.53, "word": " N", "probability": 0.1680908203125}, {"start": 2436.53, "end": 2437.13, "word": " ايه؟", "probability": 0.7281494140625}, {"start": 2437.13, "end": 2437.35, "word": " بدنا", "probability": 0.33642578125}, {"start": 2437.35, "end": 2437.61, "word": " نزهج", "probability": 0.965087890625}, {"start": 2437.61, "end": 2437.67, "word": " و", "probability": 0.9541015625}, {"start": 2437.67, "end": 2438.01, "word": " هنحل", "probability": 0.73675537109375}, {"start": 2438.01, "end": 2438.19, "word": " على", "probability": 0.89697265625}, {"start": 2438.19, "end": 2438.35, "word": " T", "probability": 0.490966796875}, {"start": 2438.35, "end": 2438.43, "word": " و", "probability": 0.267578125}, {"start": 2438.43, "end": 2438.75, "word": " تساوي", "probability": 0.7645263671875}, {"start": 2438.75, "end": 2439.19, "word": " I؟", "probability": 0.860107421875}, {"start": 2439.19, "end": 2439.63, "word": " ياله", "probability": 0.5643107096354166}, {"start": 2439.63, "end": 2439.99, "word": " فيعطيكوا", "probability": 0.8039143880208334}, {"start": 2439.99, "end": 2440.39, "word": " العافية", "probability": 0.943359375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2441.20675, "duration_after_vad": 2330.140624999991}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0e422f7fa1c9f6155927b1c1ef312c72488ad86e
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8.srt
@@ -0,0 +1,1562 @@
+1
+00:00:20,910 --> 00:00:24,790
+نسمي باسم الله الرحمن الرحيم و ننهي اليوم The last
+
+2
+00:00:24,790 --> 00:00:28,530
+topic of chapter 6 is power زي ما حكينا الـ power
+
+3
+00:00:28,530 --> 00:00:33,950
+وهو القدرة بمصطلحها العلمي باللغة العربية هو عبارة
+
+4
+00:00:33,950 --> 00:00:41,210
+عن شغل بالنسبة للزمن على زمن كل ما قل الزمن كل ما
+
+5
+00:00:41,210 --> 00:00:46,330
+كانت القدرة أكبر وبالتالي لما نحكي عن شغل و ندخل
+
+6
+00:00:46,330 --> 00:00:50,590
+عامل الزمن فيه بيصير في عندي مصطلح الـ power أو
+
+7
+00:00:50,590 --> 00:00:55,170
+القدرة الـ power is defined as time rate at which
+
+8
+00:00:55,170 --> 00:00:59,650
+work is done تمام في عندي average power و
+
+9
+00:00:59,650 --> 00:01:02,970
+instantaneous power زي كل الكميات اللي مضت علينا
+
+10
+00:01:02,970 --> 00:01:07,550
+قبل كده الـ average power ورمز الـ power هي capital
+
+11
+00:01:07,550 --> 00:01:14,130
+P from the word power is ΔW على ΔT و
+
+12
+00:01:14,130 --> 00:01:18,190
+واضح من هنا أنه كل ما زاد الشغل و كل ما زاد الوقت وحكينا
+
+13
+00:01:18,190 --> 00:01:23,500
+مثال الحمار و الحصان أنه زمن الحصان أكبر وبالتالي
+
+14
+00:01:23,500 --> 00:01:29,340
+القدرة تبع الحصان أكبر وإن كان شغل الحمار وشغل
+
+15
+00:01:29,340 --> 00:01:35,100
+الحصان ممكن يكون كـ output واحد إنه هذا حرث دلم وهذا
+
+16
+00:01:35,100 --> 00:01:38,700
+حرث دلم في نهاية المحصلة واحدة ولكن أنا خدت
+
+17
+00:01:38,700 --> 00:01:45,400
+النتيجة بزمن أقصر للشخص للآلة أو للإنسان أو
+
+18
+00:01:45,400 --> 00:01:49,470
+للحيوان اللي قدرته أعلى مظبوط ولا لا؟ وبالتالي
+
+19
+00:01:49,470 --> 00:01:53,890
+جيبنا أمثلة كتيرة في كل الأجهزة الكهربائية
+
+20
+00:01:53,890 --> 00:01:57,570
+والأجهزة الميكانيكية في عندي حاجة اسمها قدرة
+
+21
+00:01:57,570 --> 00:02:03,190
+وبتكون مكتوبة على كل جهاز في القدرة وبالتالي عشان
+
+22
+00:02:03,190 --> 00:02:06,470
+أجيب الـ instantaneous power بدي أجيب أنا قانون
+
+23
+00:02:06,470 --> 00:02:13,060
+نيوتن طبعا الـ power كـ instantaneous هو الـ Average power
+
+24
+00:02:13,060 --> 00:02:19,080
+as the ΔT approaches zero لما تدل فترة زمنية تقول
+
+25
+00:02:19,080 --> 00:02:23,340
+إلى اللحظة بصير عندي ما يُعرف بالـ instantaneous power
+
+26
+00:02:23,340 --> 00:02:28,760
+وهذا هو كفادر الـ work بالنسبة للزمن الـ work عرفته
+
+27
+00:02:28,760 --> 00:02:36,350
+على إنه force ضد dS قوة إزاحة بالتالي لو إجيت أشترل
+
+28
+00:02:36,350 --> 00:02:41,130
+عليها وطبق هذا القانون قولت دي W طبعا احنا بنعرف
+
+29
+00:02:41,130 --> 00:02:47,720
+أنه الـ W بيساوي التكامل F.dS صح ولا لأ؟ أنا كتاب
+
+30
+00:02:47,720 --> 00:02:53,880
+الـ dW بيساوي F.dS كامل الترفيه المعادل هذه هو الـ W
+
+31
+00:02:53,880 --> 00:02:58,700
+صحيح؟ فهي نفس القانون اللي إنتوا عارفينه تمام فـ dW
+
+32
+00:02:58,700 --> 00:03:02,580
+هو كأنه جزء من الـ W احنا اتفقنا ان كل كمية تسبق بـ D
+
+33
+00:03:02,580 --> 00:03:07,100
+بيكون جزء منها عنصر منها F.dS الآن الـ Power Issue
+
+34
+00:03:07,100 --> 00:03:09,880
+هو بيقول لي الـ derivative of this with respect to
+
+35
+00:03:09,880 --> 00:03:16,780
+T فبصي القوة دي دابليو over دي تي و equal F is
+
+36
+00:03:16,780 --> 00:03:21,520
+constant فهذه دي اس على دي تي وهذه مشتقة الإزاحة
+
+37
+00:03:21,520 --> 00:03:25,780
+بالنسبة للزمن الشيء في السرعة فصارت الـ
+
+38
+00:03:25,780 --> 00:03:30,260
+instantaneous power بيساوي القوة في السرعة القوة في
+
+39
+00:03:30,260 --> 00:03:34,440
+السرعة فإما بتكون شغل على زمن أو بتكون قوة في
+
+40
+00:03:34,440 --> 00:03:39,320
+السرعة كـ instantaneous هدفي تمام الـ Unit تبعتي الـ
+
+41
+00:03:39,320 --> 00:03:45,790
+Power هي إما Joule على Second أو هي Watt أو حصان
+
+42
+00:03:45,790 --> 00:03:51,150
+horse power بالنظام الإنجليزي اسمها حصان عشان كده
+
+43
+00:03:51,150 --> 00:03:55,530
+دارج عندنا هذه الوحدة ووحدة الحصان من جول المطور
+
+44
+00:03:55,530 --> 00:03:58,270
+خصوصا المواتير اللي عندنا اللي بتطلع ميه من جول
+
+45
+00:03:58,270 --> 00:04:03,150
+حصان ولا حصان ونص هذا هو .. وبالتالي هذه الحصان
+
+46
+00:04:03,150 --> 00:04:06,610
+و حصان ونص هي وحدة الـ power بالنظام الإنجليزي
+
+47
+00:04:06,610 --> 00:04:10,640
+تمام؟ ممكن نحوّلها لوات؟ ممكن نحوّلها لوات وطبعا
+
+48
+00:04:10,640 --> 00:04:14,820
+الأجهزة الأغلبها بيكون مكتوب عليها عليها بالواط
+
+49
+00:04:14,820 --> 00:04:18,780
+واتفقنا في الأجهزة الكهربائية نفس الشيء كل القدرات
+
+50
+00:04:18,780 --> 00:04:26,120
+تكون بالواط تمام خلّيني أحلي مثال بيقول لي a 1500
+
+51
+00:04:26,120 --> 00:04:31,240
+kilogram car accelerates uniformly from rest to a
+
+52
+00:04:31,240 --> 00:04:33,900
+speed of 10 meters per second in three seconds
+
+53
+00:04:33,900 --> 00:04:40,540
+طبعا السيارات لما ييجوا يصنعوها أول ميزة بتطلع
+
+54
+00:04:40,540 --> 00:04:44,660
+عليها أنه لما ييجي تشغل السيارة وتصل سرعة قصوى
+
+55
+00:04:44,660 --> 00:04:47,440
+جديش تاخد زمان كل ما كان الزمان أقصر كل ما جعلوا
+
+56
+00:04:47,440 --> 00:04:50,680
+المطول السيارة أقوى و جديدة فبيقولي هذه السيارة
+
+57
+00:04:50,680 --> 00:04:55,720
+مصنع بفتخر بيقولك أنا سيارتي بتتصارع من السفر طبعا
+
+58
+00:04:55,720 --> 00:05:00,140
+دايما بتكون سفر تبدأ واقفة لسرعة 10 متر per second
+
+59
+00:05:00,140 --> 00:05:06,810
+في 3 ثواني في هكذا مواصفات بدو الـ work done on the
+
+60
+00:05:06,810 --> 00:05:09,490
+car in this time بدو الشغل اللي حصل على السيارة
+
+61
+00:05:09,490 --> 00:05:13,530
+the average power delivered by the engine in the
+
+62
+00:05:13,530 --> 00:05:19,590
+first and second قدرة المحرك تبع السيارة في خلال
+
+63
+00:05:19,590 --> 00:05:22,170
+هذه الثلاثة ثواني ثواني ثواني ثواني ثواني
+
+64
+00:05:22,170 --> 00:05:22,210
+ثواني ثواني ثواني ثواني ثواني ثواني ثواني
+
+65
+00:05:22,210 --> 00:05:25,590
+ثواني ثواني ثواني ثواني ثواني ثواني ثواني
+
+66
+00:05:25,590 --> 00:05:27,170
+ثواني ثواني ثواني ثواني ثواني ثواني ثواني
+
+67
+00:05:27,170 --> 00:05:27,550
+ثواني ثواني ثواني ثواني ثواني ثواني ثواني
+
+68
+00:05:27,550 --> 00:05:33,130
+ثواني ثواني ثواني ثواني ثواني ثواني ثواني
+
+69
+00:05:33,130 --> 00:05:37,150
+ثواني ثواني ثواني ثواني ثبدي الـ work done يعني
+
+70
+00:05:37,150 --> 00:05:40,890
+بدي الـ total work احنا قلنا الـ total work بدي كل
+
+71
+00:05:40,890 --> 00:05:43,670
+القوة اللي بتأثر على السيارة ولا لا؟ والسيارة
+
+72
+00:05:43,670 --> 00:05:47,450
+بيأثر عليها كثير قوة ومنها الاحتكاك والشغلات
+
+73
+00:05:47,450 --> 00:05:50,770
+فجالي أنا بدي أشيل في القوة جالي هو السرعة
+
+74
+00:05:50,770 --> 00:05:53,810
+الابتدائية تبعته معروفة ولا لا؟ والسرعة النهائية؟
+
+75
+00:05:53,810 --> 00:05:57,570
+معروفة إذا ΔK نعرفها وماشي في عندي نظرية بتقول
+
+76
+00:05:57,570 --> 00:06:00,990
+W net بيساوي ΔK؟ خلاص أشيلك في القوة وتغلب
+
+77
+00:06:00,990 --> 00:06:04,490
+حالك فيها ليش؟ إذا أنا في السؤال الأول بلزمنيش
+
+78
+00:06:04,490 --> 00:06:08,190
+القوة وأغلب حالي وأدور احتكاك ومش احتكاك وMg و
+
+79
+00:06:08,190 --> 00:06:12,370
+كل هذه الشغلات لأ بقول using the work kinetic
+
+80
+00:06:12,370 --> 00:06:16,210
+energy theorem بدي هذه النظرية اللي بتقول W
+
+81
+00:06:16,210 --> 00:06:21,270
+net بتساوي ΔK W net بتساوي ΔK و
+
+82
+00:06:21,270 --> 00:06:26,750
+بتساوي نص M V final تربيع ناقص V initial تربيع
+
+83
+00:06:26,750 --> 00:06:31,300
+بقول في الحال using the work energy theorem W
+
+84
+00:06:31,300 --> 00:06:38,980
+net بتساوي ΔK الآن هذه موجودة تمام وهذه Zero
+
+85
+00:06:38,980 --> 00:06:44,020
+وبالتالي سهل أن أجيبها إذا الـ V initial Zero لأنه
+
+86
+00:06:44,020 --> 00:06:48,590
+بيقول لي Accelerates uniformly from rest to speed of 10
+
+87
+00:06:48,590 --> 00:06:51,250
+meters per second فهذه 10 meters per second تربيع
+
+88
+00:06:51,250 --> 00:06:56,650
+100 والـ M مش بالدنيا 1500 والنص كلكم بتعرفوه
+
+89
+00:06:56,650 --> 00:07:02,830
+بالتالي صار عندي نص في 1500 وهي كتلة السيارة في
+
+90
+00:07:02,830 --> 00:07:06,810
+الـ 100 اللي هي تربيع العشرة فطلعت الـ work net
+
+91
+00:07:06,810 --> 00:07:13,490
+بالسواء 7.5 × 10 to power 4 جول هذا الشغل الكلي اللي
+
+92
+00:07:13,490 --> 00:07:17,160
+بذل على السيارة من جميع القوة اللي بتأثر عليها غير
+
+93
+00:07:17,160 --> 00:07:19,380
+نظر شيء القوة، لا أريد أن أدخل في تفاصيل القوة
+
+94
+00:07:19,380 --> 00:07:24,340
+الآن في المقطع الثاني يحتاج الـ Average Power الـ
+
+95
+00:07:24,340 --> 00:07:28,220
+Power عبارة عن شغل على ايش؟ على الزمن؟ على الزمن؟ على الزمن؟
+
+96
+00:07:28,220 --> 00:07:28,640
+على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟
+
+97
+00:07:28,640 --> 00:07:28,980
+على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟
+
+98
+00:07:28,980 --> 00:07:31,020
+على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟
+
+99
+00:07:31,020 --> 00:07:37,020
+على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟
+
+100
+00:07:37,020 --> 00:07:48,880
+على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟ على الزمن؟
+
+101
+00:07:48,880 --> 00:07:50,940
+على الزمن
+
+102
+00:07:52,460 --> 00:07:59,240
+هذه 25 كيلو وات هذه قدرة المحرك الخاص
+
+103
+00:07:59,240 --> 00:08:03,660
+بالسيارة 25 كيلو وات طبعا قدرة مش بسيطة
+
+104
+00:08:04,550 --> 00:08:08,390
+تمام طبعا إنتوا عارفين كل ما زادت قدرة الـ motor كل
+
+105
+00:08:08,390 --> 00:08:11,410
+ما بياكل بنزين أكثر يعني هادي بيجيب هادي عشان كده
+
+106
+00:08:11,410 --> 00:08:13,690
+أهر غز عشان البنزين غالي و يروحوا يدوروا على
+
+107
+00:08:13,690 --> 00:08:17,730
+السيارات الصغيرة اللي ماتسحبش بنزين عشان يوفروا و
+
+108
+00:08:17,730 --> 00:08:20,730
+طبعا احنا عندنا ميزة غير عن الضغفة الغربية ..
+
+109
+00:08:20,730 --> 00:08:24,730
+الضغفة الغربية شوارعها جبانة وبالتالي في السيارات
+
+110
+00:08:24,730 --> 00:08:29,370
+الصغيرة بتعملش عندهم كثير لأن لازم تكون قدرة
+
+111
+00:08:29,370 --> 00:08:36,410
+المحرك قوية جدا وهو طالع طبعا أنتم إن شاء الله
+
+112
+00:08:36,410 --> 00:08:41,370
+بصير في فرصة وصلوا لظروف الضغفة الغربية طرق وعرة
+
+113
+00:08:41,370 --> 00:08:47,380
+كثير خصوصا ما بين نابلس والقدس أغلبها .. أغلب
+
+114
+00:08:47,380 --> 00:08:51,720
+الطريق طريق جبلية طلوع ونزول فبتكون العملية صعبة
+
+115
+00:08:51,720 --> 00:08:55,340
+لكن هم هناك متعودين عليها وبمشوا بسهولة احنا إن
+
+116
+00:08:55,340 --> 00:08:58,040
+شاء الله .. احنا ده حالة في رأسنا نعتبرها جبل عالي
+
+117
+00:08:58,040 --> 00:09:02,660
+هاي اللي .. هاي اللي عندنا هاي اللي موجود تمام
+
+118
+00:09:04,990 --> 00:09:07,230
+طبعا for the instantaneous power قانون
+
+119
+00:09:07,230 --> 00:09:11,790
+instantaneous power بقول F في V إذا أنا عشان أجيب
+
+120
+00:09:11,790 --> 00:09:16,590
+الـ power بدي F وبدي V طبعا زي ما حدث أزملتكم الـ
+
+121
+00:09:16,590 --> 00:09:19,670
+two second أكبر two second إذا أنا مش مديني السرعة
+
+122
+00:09:19,670 --> 00:09:23,390
+عن الـ two second بدي أجيبها أولا وبعد كده أجيب الـ
+
+123
+00:09:23,390 --> 00:09:26,790
+force لأن الـ force مش معطية طبعا لو جبت الـ
+
+124
+00:09:26,790 --> 00:09:30,450
+acceleration بجيب الـ force ولا لأ؟ لأن الـ force
+
+125
+00:09:30,450 --> 00:09:34,190
+مستوي الف إيه؟ تمام؟ فبقول خلينا نبدأها من هنا
+
+126
+00:09:35,440 --> 00:09:42,860
+بيقول لي P بيساوي F.V تمام؟ وهذه بيساوي MA.V إذا
+
+127
+00:09:42,860 --> 00:09:46,400
+جيبني الـ acceleration تمام؟ بيقول لي في عند
+
+128
+00:09:46,400 --> 00:09:49,080
+القانون اللي أخدته زمان في أول شبطة أو ثاني شبطة
+
+129
+00:09:49,080 --> 00:09:53,420
+بيقول V equal V0 plus AT صح ولا لأ السرعة النهائية
+
+130
+00:09:53,420 --> 00:09:59,320
+معروفة عشرة والسرعة الابتدائية Zero وهذه 3
+
+131
+00:09:59,320 --> 00:10:02,540
+second صح؟ بقدر أجيب الـ acceleration تمام؟ هاي الـ
+
+132
+00:10:02,540 --> 00:10:04,920
+acceleration جبتها 3.3 meter per
+
+133
+00:10:04,920 --> 00:10:08,480
+second تمام هدى الـ acceleration على أساس أنها
+
+134
+00:10:08,480 --> 00:10:14,020
+constant تمام إذا بقدر أجيب القوة M في هذا المقدار
+
+135
+00:10:14,020 --> 00:10:18,240
+عشان أجيب السرعة عن two seconds برجع عود في هذا
+
+136
+00:10:18,240 --> 00:10:22,020
+القانون بس بحط هنا الـ T ايش؟ two عشان أطلع السرعة
+
+137
+00:10:22,020 --> 00:10:27,360
+صحيح ولا لأ؟ تمام إذا الـ power بيساوي M a . v
+
+138
+00:10:27,360 --> 00:10:31,720
+أنا هنامعتبرها عشرة مش عاوزة تجيبها الـ ten second
+
+139
+00:10:31,720 --> 00:10:35,660
+أنا مستسلم حالي إذا الـ two second زي ما هي بتقول
+
+140
+00:10:35,660 --> 00:10:39,120
+معناته هذي بتبطل عشرة هذي من أين بديبها V equal V
+
+141
+00:10:39,120 --> 00:10:44,020
+naught plus A في T هذي صفر وهذه عبارة عن 3.3
+
+142
+00:10:44,020 --> 00:10:47,820
+في two فتطلع 6.66 هذي اللي
+
+143
+00:10:47,820 --> 00:10:53,860
+بتغير ما فيش مشكلة يعني الثلاثة ولا الاثنين ما فيش أي
+
+144
+00:10:53,860 --> 00:10:58,080
+إشكالية بس أنا يبدو أنه بدي أسهل على حالي أعملك
+
+145
+00:10:58,080 --> 00:11:05,130
+فيها هكذا السؤال تمام هكذا احنا أنا هنا الشبطة بدي
+
+146
+00:11:05,130 --> 00:11:08,430
+أحل أنا أخلص الشبطة عشان كده الـ quiz بديش أفتح
+
+147
+00:11:08,430 --> 00:11:13,450
+اليوم ومكرا أفتحهم وبياخد معاكي أسبوع الآن عشان
+
+148
+00:11:13,450 --> 00:11:15,910
+قبل ما نبدأ الشبطة اللي ورا حابب أحلها السؤال
+
+149
+00:11:15,910 --> 00:11:22,370
+السؤال 26 آخر سؤال في الكتاب في هذا الشبطة 26 عشان
+
+150
+00:11:22,370 --> 00:11:24,350
+برضه نفهم شوية
+
+151
+00:11:29,950 --> 00:11:35,730
+موجود موجود موجود موجود موجود موجود موجود موجود
+
+152
+00:11:35,730 --> 00:11:35,830
+موجود موجود موجود موجود موجود موجود موجود موجود
+
+153
+00:11:35,830 --> 00:11:37,930
+موجود موجود موجود موجود موجود موجود موجود موجود موجود
+
+154
+00:11:37,930 --> 00:11:43,390
+موجود موجود موجود موجود موجود موجود
+
+155
+00:11:43,390 --> 00:11:49,450
+موجود موج
+
+156
+00:11:50,220 --> 00:11:54,000
+بيقولي a block of mass M equal 0.25 kilogram is
+
+157
+00:11:54,000 --> 00:11:58,280
+pushed against a spring هذا زي ما تشايفين هذا
+
+158
+00:11:58,280 --> 00:12:02,420
+زنبرك أنا سجاي بالكتلة وضغط الزنبرك is pushed
+
+159
+00:12:02,420 --> 00:12:06,300
+against a spring ضغط الزنبرك بيدفعلي أطلع إيدي
+
+160
+00:12:06,300 --> 00:12:09,380
+ايش بده يصير في هذه الكتلة؟ بده تنخذ القذف صح ولا
+
+161
+00:12:09,380 --> 00:12:13,480
+لأ؟ بيقولي هتنخذ القذف وتمشي هيك صح؟ متفقين؟ إذا
+
+162
+00:12:13,480 --> 00:12:19,770
+طبيعة الحركة فهمتجسم ضغط زنبرج فالتو بده يطلع
+
+163
+00:12:19,770 --> 00:12:24,010
+تمام بده يفعط زي ما بيسموها بالعمية حلو
+
+164
+00:12:26,300 --> 00:12:29,480
+K تبعت الزنبرك ميعطنيها 800 نيوتن/متر
+
+165
+00:12:29,480 --> 00:12:34,140
+compressing at a distance of 0.1 متر وهذه المسافة
+
+166
+00:12:34,140 --> 00:12:38,800
+اللي اتنقضت 10 سم حب .. ايش بده؟ when released
+
+167
+00:12:38,800 --> 00:12:42,640
+.. هذه اتفلتوا .. the block it travels along a
+
+168
+00:12:42,640 --> 00:12:45,660
+smooth circular track .. هذا كله smooth ليش
+
+169
+00:12:45,660 --> 00:12:51,040
+احتكاكة؟ وهذا Circular .. of radius of 0.4 متر ..
+
+170
+00:12:51,040 --> 00:12:54,890
+as shown in the figure .. ايش بدك؟ Calculate the
+
+171
+00:12:54,890 --> 00:12:59,710
+net work بدّو الـ Net work acting on the block in
+
+172
+00:12:59,710 --> 00:13:03,170
+going from point A to point B، the top of the
+
+173
+00:13:03,170 --> 00:1
+
+216
+00:16:43,420 --> 00:16:46,660
+واحدة واحدة عشان ما تحربطي وقت إيه الشغل القوي
+
+217
+00:16:46,660 --> 00:16:49,860
+بيكون موجب؟ لما تكون هي واللي زاحتها مع بعض ولا ضد
+
+218
+00:16:49,860 --> 00:16:53,680
+بعض؟ مع بعض.. مع بعض.. ولا هيك اتضربت معاكي؟
+
+219
+00:16:53,680 --> 00:17:01,070
+أكيد؟ طيب ولما يكون سالب؟ طب ليش يكون سالب؟ مهولة
+
+220
+00:17:01,070 --> 00:17:05,890
+عشان الزاوية 180 درجة صحيح؟ عشان ما تنساش أما مع
+
+221
+00:17:05,890 --> 00:17:09,230
+بعض الزاوية صفر، أما لو 180 سالب
+
+222
+00:17:09,230 --> 00:17:14,190
+واحد، إذا لما يكون القوة والإزاحة مع بعض بيكون
+
+223
+00:17:14,190 --> 00:17:18,890
+موجب، صح؟ هجيت في الزنبرك دائما قوة الزنبرك باتجاه
+
+224
+00:17:18,890 --> 00:17:23,630
+نقطة الاتزان، صح؟ إذا الجسم رايح على نقطة الاتزان
+
+225
+00:17:23,630 --> 00:17:29,410
+صارت إزاحته وقوته مع بعض، يصير موجب، الزاوية صفر، أما
+
+226
+00:17:29,410 --> 00:17:32,930
+إذا الجسم مبعد عن نقطة الاتزان بصير إزاحته هيك و
+
+227
+00:17:32,930 --> 00:17:38,650
+هو هيك فبصير سالب، فهمناها؟ عشان نعرفها حلو هجيت
+
+228
+00:17:38,650 --> 00:17:43,790
+مبدأ الجسم منها طبعا بدي أوصلها وبعدين فرّت
+
+229
+00:17:43,790 --> 00:17:46,930
+الزنبرك وهو هجيت.. هو بدي يتحرك رايح عن نقطة
+
+230
+00:17:46,930 --> 00:17:51,190
+الاتزان ولا مبعد عنها؟ مبعد مبعد ولا رايح رايح
+
+231
+00:17:51,190 --> 00:18:00,160
+رايح، إذا شغله موجب، إذا W S بتساوي سالب نص K X تربيع
+
+232
+00:18:00,160 --> 00:18:04,700
+هذا عبارة عن 80 وهذا عبارة عن 0.1 تربيع، طلعناها
+
+233
+00:18:04,700 --> 00:18:11,300
+ولا لأ؟ طلعناها هلق
+
+234
+00:18:11,300 --> 00:18:15,020
+WG
+
+235
+00:18:15,020 --> 00:18:18,100
+كيف أجيبها؟ تبع الـ gravity
+
+236
+00:18:20,990 --> 00:18:24,730
+بدي أجيب شغل جاذبية من النقطة هذه إلى النقطة هذه
+
+237
+00:18:24,730 --> 00:18:29,730
+كم شغل جاذبية بتعمل شغل؟
+
+238
+00:18:29,730 --> 00:18:40,110
+من نجلني؟ صفر لماذا؟ أريد أن أبقى أبقى مسكين تعالي
+
+239
+00:18:40,110 --> 00:18:45,350
+قعدي لحالك عشان بركنزاوية عدلت معاكي وبطلت قائمة
+
+240
+00:18:45,350 --> 00:18:51,160
+من نجلني؟ شوف كيف أجيبه أنا أسأل إيه إني بقول لك كيف
+
+241
+00:18:51,160 --> 00:18:57,980
+أجيبه، احكوا هي وين الإزاحة؟ السؤال بيدي شغل جاذبية
+
+242
+00:18:57,980 --> 00:19:01,580
+ليش؟
+
+243
+00:19:01,580 --> 00:19:04,800
+عشان
+
+244
+00:19:04,800 --> 00:19:08,580
+الإزاحة إيش؟ أفقية، إيه الإزاحة؟ هي A و B على نفس
+
+245
+00:19:08,580 --> 00:19:13,280
+الخط؟ لو إنه ماشي من ها لها بقول له الله لرد
+
+246
+00:19:13,280 --> 00:19:18,830
+هالجاذبية بتعمل الشغل لإنه ماشي أفقي، طب يلّا نجيب،
+
+247
+00:19:18,830 --> 00:19:25,030
+آه هيك العصر MGP مش كاسية الشغل، بس لفة يعني هو
+
+248
+00:19:25,030 --> 00:19:30,950
+بتطلع فأنا بقول لك من A لـ B لفت ووصلت ووصلت بهي بدي
+
+249
+00:19:30,950 --> 00:19:34,770
+الشغل من A لـ B بيه، بيكون لفّ ل موصلها ولا لا، لفّ
+
+250
+00:19:34,770 --> 00:19:39,670
+كيف أجيب شغل جانبي؟ كده أنت بدأت تفكر صحيح، إيش
+
+251
+00:19:39,670 --> 00:19:41,030
+عامل؟ إيش أصل؟
+
+252
+00:19:50,730 --> 00:19:57,250
+مجموع الإزاحتين يعني طيب بس غربلوها هذه الفكرة
+
+253
+00:19:57,250 --> 00:20:03,810
+بدون غربلة، غربلوها فكروا فيها يعني احكيه إيش عندك؟
+
+254
+00:20:03,810 --> 00:20:11,870
+فهمش خبصوا كيف ما بدكم احكيه كيف
+
+255
+00:20:11,870 --> 00:20:17,040
+يعني؟ مش لنص محيط الدائرة، هو هذه المسافة مقطوعة
+
+256
+00:20:17,040 --> 00:20:21,620
+الدائرة كيف؟
+
+257
+00:20:21,620 --> 00:20:36,840
+تسألي ليش؟ بس
+
+258
+00:20:36,840 --> 00:20:38,620
+الـ8 من 10 أضعاف في الـ 14 قطعة
+
+259
+00:20:42,100 --> 00:20:45,740
+أنا حطيت جزئيات يعني حسبت ال.. يعني هلأ جماعة مش
+
+260
+00:20:45,740 --> 00:20:51,460
+أنت ما أعطيتنا نصف القطر؟ لأ لأ هي كي شلّكتي احكي
+
+261
+00:20:51,460 --> 00:20:57,640
+القطر يعني
+
+262
+00:20:57,640 --> 00:21:01,180
+.. يعني هي بتعملي هيك خليني أنت اللي وين اللي ..
+
+263
+00:21:01,180 --> 00:21:05,740
+أنا قلت لها أنت عملتي هيك آه آه كده طيب أنا بدي
+
+264
+00:21:05,740 --> 00:21:11,890
+أجيب هذه المسافة، هيدي المسافة صح؟ آه، بس اللي أنا
+
+265
+00:21:11,890 --> 00:21:15,810
+حاسسها مش معاهو فأنت.. لأ بدي.. أنا بديك إياها،
+
+266
+00:21:15,810 --> 00:21:19,070
+بديك إياها، بتفرج معاكي؟ لأ، لأن هو مش المسافة
+
+267
+00:21:19,070 --> 00:21:22,490
+الأفقية اللي أثرت عليها الجاذبية، العمودية أصلا،
+
+268
+00:21:22,490 --> 00:21:26,070
+هي اللي أثرت عليها.. طب ليش؟ لأنها X.. لأنها..
+
+269
+00:21:26,070 --> 00:21:29,930
+هي الاتجاه.. هل جيت هادي بتفرج معاكم؟ لأ، ماناش
+
+270
+00:21:29,930 --> 00:21:34,910
+.. بيشتغل هنا؟ لأ، إذن هذه المسافة ماكنوش تعرفوها؟
+
+271
+00:21:34,910 --> 00:21:41,290
+بس هذه المسافة اللي بدكم إياها، فقط، بحكيه، يعني هو
+
+272
+00:21:41,290 --> 00:21:45,050
+بالأول كان صفر وصار زاوية صارت 18، بين
+
+273
+00:21:45,050 --> 00:21:49,190
+إيش وإيش؟ بين موضوع A وموضوع B، سؤال أنا خافقة
+
+274
+00:21:49,190 --> 00:21:56,730
+أنا إيش أنا جبت السؤال هذا؟ شوفوا درجة
+
+275
+00:21:56,730 --> 00:22:01,650
+من إيه؟ طبعا وصلنا طوال الطابق الخامس تمام؟ تمام
+
+276
+00:22:01,650 --> 00:22:07,790
+بدي شغل الجاذبية بأخد هذه المسافات؟ لا
+
+277
+00:22:10,240 --> 00:22:17,540
+بس بأخد هذا الارتفاع بس الأفقي ما نِ جاعو فيه
+
+278
+00:22:17,540 --> 00:22:24,720
+أقول لكم كيف عاد احنا بالأصل أي إزاحة في الدنيا جوس
+
+279
+00:22:24,720 --> 00:22:30,940
+ولا اللي أنا رسمتها هيك مش هيك أنت رسمتوها حللوها
+
+280
+00:22:30,940 --> 00:22:36,600
+مش هذي S بقدر أقول S كـ vector بساوي X I زائد Y في J
+
+281
+00:22:38,710 --> 00:22:44,390
+مصبوط ولا لأ؟ ها دي S جل الـ work بيساوي F ضد الـ S
+
+282
+00:22:44,390 --> 00:22:48,470
+مش هيك عملناها؟ تمام ها دي F تبعت لـ gravity بيساوي
+
+283
+00:22:48,470 --> 00:22:55,050
+MG بالـ J؟ ولا عليها خلاف؟ قوة الجاذبية كيف يكون
+
+284
+00:22:55,050 --> 00:23:00,090
+اتجاهها؟ لأسفل لأسفل عشان كده حطيت J صحيح؟ أخدتوا
+
+285
+00:23:00,090 --> 00:23:05,370
+شيفتَر واحد؟ خطوة بتعرف تعامل dot product؟ نعمل dot
+
+286
+00:23:05,370 --> 00:23:14,350
+product ماذا يساوي؟ سالب MG في J dot X I زائد Y J J
+
+287
+00:23:14,350 --> 00:23:18,030
+dot I إذن
+
+288
+00:23:18,030 --> 00:23:22,970
+ليش تصححت؟ المسافة الأفقية ما بينش إيه اللي ظهر؟
+
+289
+00:23:22,970 --> 00:23:32,640
+بس الـ Y فصارت سالب MG في Y وصلت؟ إذن هرجت هذا كان
+
+290
+00:23:32,640 --> 00:23:37,600
+هيك كان مجوّس حتى لو كان الـ curve هيك بعد النصف
+
+291
+00:23:37,600 --> 00:23:45,560
+أنا بين الارتفاع بس، إذا و تبعت J ارجع في السؤال
+
+292
+00:23:45,560 --> 00:23:47,360
+اللي زي هذا سؤال
+
+293
+00:23:49,510 --> 00:23:55,410
+بدي أجيبه وبدي أكتبه اتفقنا WS بتساوي سالب نص K X
+
+294
+00:23:55,410 --> 00:24:01,490
+تربيع، هذه 80 وهذه 0.1 كيف؟
+
+295
+00:24:01,490 --> 00:24:09,130
+ما هي حتة كموجة حكينا إيه؟ بسيطة
+
+296
+00:24:10,540 --> 00:24:14,420
+يعني تخيلته زي هي أنا راضية فيها المربطات هذه تمام
+
+297
+00:24:14,420 --> 00:24:20,360
+هجيب W تبعت الـ Gravity بتساوي سالب MG في 2 R
+
+298
+00:24:20,360 --> 00:24:26,380
+اللي هو الارتفاع هذا بس
+
+299
+00:24:26,380 --> 00:24:31,540
+ما لي ش دعوة بالجوس ما لي ش دعوة بالمسافة الأفقية
+
+300
+00:24:31,540 --> 00:24:35,800
+ما تجيش أحلّها وأجيب الـ 1.1 تلزمنيش
+
+301
+00:25:00,690 --> 00:25:09,310
+WNET قرأة لسه ما خلصتش بدي شغل inمش هي N كمان قوة؟
+
+302
+00:25:09,310 --> 00:25:14,210
+عشان تسينا هياش فيه NG وهنا.. وهنا اتفقنا فيه FS
+
+303
+00:25:14,210 --> 00:25:20,530
+بدي شغل N؟
+
+304
+00:25:20,530 --> 00:25:25,250
+تحكي
+
+305
+00:25:25,250 --> 00:25:29,090
+.. آه
+
+306
+00:25:29,090 --> 00:25:35,680
+هي بتقول لي منهالشغل، دائما منهالشغل؟ والله دائما أنا
+
+307
+00:25:35,680 --> 00:25:40,340
+قلت.. صح؟ منيحة بالذات كده.. تلعبوا يا بنات..
+
+308
+00:25:40,340 --> 00:25:43,460
+إيه؟ طب واحد بيقول.. طب ليش شافوا للـ MG؟ MG
+
+309
+00:25:43,460 --> 00:25:49,760
+بتقدر أحد يلعب فيها؟ دائما اللي أسفل.. N مع السطح
+
+310
+00:25:49,760 --> 00:25:53,320
+.. هالـ gate هنا عمودية.. طب هنا؟ بيقول لي برضه
+
+311
+00:25:53,320 --> 00:25:56,760
+عمودية.. هيها.. هنا برضه عمودية.. هنا برضه
+
+312
+00:25:56,760 --> 00:26:00,300
+عمودية.. إذا الـ N أصلا ليش سميتها N يا بنات؟
+
+313
+00:26:01,050 --> 00:26:05,250
+عشانها عمودية عشانها عمودية سميتها N عمودية عايش
+
+314
+00:26:05,250 --> 00:26:08,250
+على السطح يعني على الإزاحة صحيح ولا لأ زي دوّة من
+
+315
+00:26:08,250 --> 00:26:12,410
+التجارة تسألني بتقول لي جسم بيتحرك حركة دائرية
+
+316
+00:26:12,410 --> 00:26:17,030
+بسرعة بـ speed constant constant speed القوة اللي
+
+317
+00:26:17,030 --> 00:26:23,790
+عليها Zero في أحد الإجابات، وأنا حكيت على سيرة إني
+
+318
+00:26:23,790 --> 00:26:29,010
+أنا بحكي قلت في مجان جسم يتحرك حركة دورانية بدون
+
+319
+00:26:29,010 --> 00:26:32,450
+ما يكون فيه قوة مركزية؟ لأ لما أنت حكيته هذا كده؟
+
+320
+00:26:32,450 --> 00:26:34,190
+لأ لما أنت حكيته هذا كده؟ لازم يتحرك حركة دورانية
+
+321
+00:26:34,190 --> 00:26:39,930
+لازم يكون فيه قوة مركزية ولا لأ؟ لازم، ما ينفعش لأنه
+
+322
+00:26:39,930 --> 00:26:43,530
+يتحرك حركة دورانية، إذا لابد من قوة تكون مسؤولة،
+
+323
+00:26:43,530 --> 00:26:47,730
+هاي نغشتكم أحد السؤال، بيشان، بيشان، بنفعل، لأنه
+
+324
+00:26:47,730 --> 00:26:50,650
+أنه هدّبك حاجة بحكيه، طبعا، بيجي واحدة ممكن صراحة
+
+325
+00:26:50,650 --> 00:26:54,550
+أنا ساعتها، ما كنتش مركزاها، يعني هاي الكلام أنا
+
+326
+00:26:54,550 --> 00:26:58,090
+حاكيه، وعشان كده أسئلة ليكوزات كلها من الكلام اللي
+
+327
+00:26:58,090 --> 00:27:02,950
+بنحكيه كله.. طبعا الـ trick كتير بيجي.. constant
+
+328
+00:27:02,950 --> 00:27:06,490
+speed.. إذا واحد وقعته إيه فالتصارع زيرو.. هي
+
+329
+00:27:06,490 --> 00:27:10,470
+سهلة.. رجّع.. ده ما تفعل.. قلت لكم أول يوم يكون
+
+330
+00:27:10,470 --> 00:27:14,510
+زيرو.. عشان واحد ما يصدق يجيبه.. هو constant
+
+331
+00:27:14,510 --> 00:27:19,110
+speed مش constant velocity تمام؟ وهذه نفس العملية
+
+332
+00:27:19,110 --> 00:27:24,010
+أنا حكيت إن عمرها بتعمل شغل لأنها normal ومئة مرة
+
+333
+00:27:24,010 --> 00:27:27,270
+قلت لكم الـ N إيش سميناها N يا بنات؟ مش حب بحرف الـ N
+
+334
+00:27:27,270 --> 00:27:33,270
+لأ عشانها normal to the surface تمام؟ إذن هي MG MG
+
+335
+00:27:33,270 --> 00:27:38,990
+بتميرش مع السطح وبالتالي MG إلها شغل أحيانا، إذا
+
+336
+00:27:38,990 --> 00:27:43,930
+الـ W تبع الـ N هو Zero دائما عمودي على السطح،
+
+337
+00:27:43,930 --> 00:27:51,170
+حلو، خلصنا إذا الـ WN بتساوي Zero إذا الـ WNet
+
+338
+00:27:51,170 --> 00:27:55,410
+بتساوي W تبع الـ Spring زائد W تبع الـ Gravity
+
+339
+00:27:55,410 --> 00:27:58,590
+هذا سالب وهذا موجب، هذا رقم برقم، الكالكوليتر
+
+340
+00:27:58,590 --> 00:28:02,530
+بتجمعه، خلصنا؟ الفرع الأول لسه، هذا قصة العالم
+
+341
+00:28:02,530 --> 00:28:08,840
+الفرع الثاني قصة تانية، لنشوف بسم الله.. طب الـ
+
+342
+00:28:08,840 --> 00:28:13,660
+unit حصل عندنا ولا لا؟ اقرأوا لي عادي أو ماتوب
+
+343
+00:28:13,660 --> 00:28:19,120
+التاني.. بيقول لي عند المختبر.. احكي.. بد الـ
+
+344
+00:28:19,120 --> 00:28:25,420
+force.. إيش بده يعني؟
+
+345
+00:28:25,420 --> 00:28:31,700
+وجعنا في المحظورة.. أنا برضه قلت.. قلت عمركم ما
+
+346
+00:28:31,700 --> 00:28:35,520
+تقولوا لي في قوة اسمه centripetal forceتقول لك أودي
+
+347
+00:28:35,520 --> 00:28:37,660
+دي القوة، تقول لي الـ centre of mental force؟ بدي
+
+348
+00:28:37,660 --> 00:28:42,180
+القوة، أنا بدي N، بدي N، هذي N الشيئة، كام
+
+349
+00:28:42,180 --> 00:28:46,340
+بتعملها؟ ارسم في body diagram، وكملي، ها،
+
+350
+00:28:46,340 --> 00:28:50,400
+اتخربطي، هي كتلة هنا، عنده نقطة إيه؟ إيش فيه هنا؟
+
+351
+00:28:50,400 --> 00:28:58,080
+وإيش فيه كمان؟ وفيه M، هلقيت؟ بتقولي N زائد MG
+
+352
+00:28:58,080 --> 00:29:04,990
+بتساوي MV تربيع على R ولا لأ؟ هو بده N الشي N هذه
+
+353
+00:29:04,990 --> 00:29:09,310
+مش قوة المسار على الجسم وهو بده قوة المسار على
+
+354
+00:29:09,310 --> 00:29:16,530
+الجسم يعني بده N فبقول له N بتساوي M V تربيع على R
+
+355
+00:29:16,530 --> 00:29:28,980
+ناقشي يلا يا شاطر، بده V، V عند أي نقطة؟ نقطة B من
+
+356
+00:29:28,980 --> 00:29:33,740
+يجيبني إياها؟ أقول وصلت دي تربيع بساوينا
+
+357
+00:29:33,740 --> 00:29:39,660
+الطبيعي لأ دي 2GX، بنفعل؟ لأ. بنفعلش؟ هل هدفي
+
+358
+00:29:39,660 --> 00:29:45,240
+Falling؟ لأ. في قوة N عليه، إذا كيف أجيبها؟
+
+359
+00:29:45,240 --> 00:29:49,360
+بنجيبها من الطاقة الحركية، إيش أعمل؟ بنسوّيها بـ W.
+
+360
+00:29:49,480 --> 00:29:55,840
+بقول W net بنسوّي Delta K ولا لا؟ طب W net مش
+
+361
+00:29:55,840 --> 00:30:01,400
+هيتعبش أطلع تروحي وأنا بتجيبه؟ جبتوا Delta K هي
+
+362
+00:30:01,400 --> 00:30:06,500
+عبارة عن نص and V final تربيع اللي بدي إياها، نقل
+
+363
+00:30:06,500 --> 00:30:11,360
+Zero بدأ منها سكون عند النقطة هذه وأنا جبت الـ
+
+364
+00:30:11,360 --> 00:30:14,660
+double unit من A لـ B وبالتالي السرعة عند A هي الـ
+
+365
+00:30:14,660 --> 00:30:17,580
+research والسرعة عند B اللي بدي إياها هي الـ
+
+366
+00:30:17,580 --> 00:30:21,780
+final هذا double unit مش طلعته أنا وإياكم هذا رقم
+
+367
+00:30:21,780 --> 00:30:27,380
+موجود وهذي بعرفها تمام؟ بجيب V بعوضها هنا بجيب M
+
+368
+00:30:31,490 --> 00:30:37,970
+كيف أحد السؤال لو جيه فهمت حاجة؟ هه
+
+369
+00:30:37,970 --> 00:30:42,470
+طبعا هلقيت نيجي عشان كده هلقيت ما انديش يجي بيجي
+
+370
+00:30:42,470 --> 00:30:47,650
+زيه بس يعني الفكرة تبعتّه عشان ما يجي واحد يقول لي
+
+371
+00:30:47,650 --> 00:30:50,610
+مكرهة والله يسلمني لما حليت السؤال كنت صراحة و
+
+372
+00:30:50,610 --> 00:30:57,400
+غير الرسمة لأ أنا راضية بغيرها بأسفل بس حل المهم
+
+373
+00:30:57,400 --> 00:31:02,160
+المهم الفكرة تبقى محمولة ما يجي فيه blind seat و
+
+374
+00:31:02,160 --> 00:31:05,760
+لو كنت صراحة وهي الفكرة فكرة وأنت لو تتطلع على
+
+375
+00:31:05,760 --> 00:31:09,580
+كل الأسئلة لك ولذاتك وإن شاء الله أنا بركن اليوم
+
+376
+00:31:09,580 --> 00:31:13,500
+حأحط لكم امتحانات أي جد امتحانات كمان أتأكد من إن
+
+377
+00:31:13,500 --> 00:31:16,360
+امتحانات شغالة ولا لا بدأت أحط امتحانات سابقة عشان
+
+378
+00:31:16,360 --> 00:31:18,940
+نشوف الأسئلة في الامتحان برضه كتير مشابهة للأسئلة
+
+379
+00:31:18,940 --> 00:31:22,660
+في كوزات في بعض منها وطبعا بالإضافة للأسئلة الحل
+
+380
+00:31:22,660 --> 00:31:27,820
+بيجيب في الامتحان إيه بتنحل بهذا الشكل على كل
+
+381
+00:31:27,820 --> 00:31:31,200
+الأحوال أنا أرجو إنه الأسئلة لما تيجي تحلوها حلوها
+
+382
+00:31:31,200 --> 00:31:34,420
+هيك بحالكم عشان تف
+
+431
+00:35:37,230 --> 00:35:41,910
+نمسك الجلد من تمام؟ إيه الصين يعرف يمسك الجلام؟
+
+432
+00:35:41,910 --> 00:35:49,710
+فإذا احتكاك مولد حرارة وبيدفّي معناته بيقول لي القوة
+
+433
+00:35:49,710 --> 00:35:55,850
+بدي أجسمها لجسمين قوة تحافظ على الطاقة بمعنى آخر
+
+434
+00:35:55,850 --> 00:36:02,430
+تخزن طاقتها وقوة تفقد الطاقة وبالتالي غير محافظة
+
+435
+00:36:02,430 --> 00:36:05,230
+فعشان كده بيسموها conservative and non
+
+436
+00:36:05,230 --> 00:36:09,470
+conservative forces القوة المحافظة والقوة غير
+
+437
+00:36:09,470 --> 00:36:14,320
+المحافظة، الغير محافظة اللي بيضيع طاقة والمحافظ اللي
+
+438
+00:36:14,320 --> 00:36:18,180
+بيحتفظ من الطاقة من هنا جالسه تمام؟ زي .. بيقول
+
+439
+00:36:18,180 --> 00:36:22,240
+الجاذبية الأرضية ما بضيعش الجاذبية الأرضية ما بضيعش
+
+440
+00:36:22,240 --> 00:36:26,480
+طاقة بتخزنها وكذلك الزنبرك لما اضغط الزنبرك
+
+441
+00:36:26,480 --> 00:36:31,740
+وقفلته بيضل ولا بتجعب إذا هو احتفظ بالطاقة على
+
+442
+00:36:31,740 --> 00:36:36,980
+هيئة الطاقة توضع ورجحها لا احتكال .. لا جال يشوف كل
+
+443
+00:36:36,980 --> 00:36:40,380
+القوة بدك تعتبرها غير محافظة باستثناء قوتين اللي
+
+444
+00:36:40,380 --> 00:36:44,260
+ما فيش لهم حالياً الجاذبية والزنبرك طبعا بعد كده
+
+445
+00:36:44,260 --> 00:36:48,840
+هتيجينا قوة محافظة زي القوة الكهربية والقوة
+
+446
+00:36:48,840 --> 00:36:53,200
+المناطسية لكن احنا في الميكانيكا عندناش إلا بس قوتين
+
+447
+00:36:53,200 --> 00:37:00,300
+محافظات قوة الجاذبية وقوة الزنبرك فقط تمام؟ إذا
+
+448
+00:37:00,300 --> 00:37:03,240
+بيقول لي طيب أنا مستحكي بالإنقليزي لحكيته بالعربي
+
+449
+00:37:03,240 --> 00:37:08,260
+the force is conservative if the work done by it
+
+450
+00:37:08,260 --> 00:37:11,340
+on a particle that moves between two points
+
+451
+00:37:11,340 --> 00:37:15,180
+depends only on these points and not on the path
+
+452
+00:37:15,180 --> 00:37:19,180
+followed إيش يعني؟ بيقول لي زي ما توي حكينا منيح
+
+453
+00:37:19,180 --> 00:37:23,990
+اللي حلنا السؤال هذا هاجد هادي بلاش هادي أنتو ممكن
+
+454
+00:37:23,990 --> 00:37:28,990
+تطلعوا من الدرج للطاقة غرفة هادي صح ولا لا؟ بدي
+
+455
+00:37:28,990 --> 00:37:34,310
+أحسب شغل الجاذبية بنتين بدي أخد مثال بنت طلعت على
+
+456
+00:37:34,310 --> 00:37:39,610
+المصعد ووصلت هنا بدي شغل الجاذبية وبنت جايها بجري
+
+457
+00:37:39,610 --> 00:37:43,790
+قاعدت تجزّع طول الطريق في كل طابق راحت وإجت هجي
+
+458
+00:37:43,790 --> 00:37:47,490
+الطريق الأول خير عن الطريق الثاني لما قادي أسأل
+
+459
+00:37:47,490 --> 00:37:50,890
+شغل الجاذبية للبنت الأولى وبنت ثالثة بدي أجيبها
+
+460
+00:37:50,890 --> 00:37:54,660
+من الحبل من هنانفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+461
+00:37:54,660 --> 00:37:57,000
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس
+
+462
+00:37:57,000 --> 00:37:58,940
+الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+463
+00:37:58,940 --> 00:38:01,400
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس
+
+464
+00:38:01,400 --> 00:38:01,640
+الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+465
+00:38:01,640 --> 00:38:02,100
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس
+
+466
+00:38:02,100 --> 00:38:04,580
+الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+467
+00:38:04,580 --> 00:38:10,900
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+468
+00:38:10,900 --> 00:38:15,320
+نفس الشيء؟
+
+469
+00:38:15,320 --> 00:38:18,760
+نفس الشيء؟ نفس الشيء؟ نفس
+
+470
+00:38:20,630 --> 00:38:24,510
+طلعته وين كان على الطاولة رجعته على الطاولة نقطة
+
+471
+00:38:24,510 --> 00:38:29,990
+البداية والنهاية زي ما هي جدش الشغل بقوله Zero نجل
+
+472
+00:38:29,990 --> 00:38:34,810
+الاحتكاك بدي أمشي أخر حاجة بدي أمشي هادي هيك و
+
+473
+00:38:34,810 --> 00:38:37,390
+أقول جيبني شغل احتكاك أو بدي أقول بدي أخليها
+
+474
+00:38:37,390 --> 00:38:43,790
+أشممها الأوى أخليها تطفي فيك واتصل هل لنفس القوة؟
+
+475
+00:38:43,790 --> 00:38:50,800
+لأ الشغل مختلف الشغل هيك أكبر، بلاش، هذه الشغل
+
+476
+00:38:50,800 --> 00:38:56,420
+ورجعتها، هل الشغل Zero؟ لأ لأن وانا ماشي هيك في شغل
+
+477
+00:38:56,420 --> 00:39:02,660
+وانا راجع في شغل الفوق غير هنا قوة الاحتكاك وانت
+
+478
+00:39:02,660 --> 00:39:07,160
+ماشي عكسك وانت راجع عكسك يعني انعكست قوة الاحتكاك
+
+479
+00:39:07,160 --> 00:39:11,980
+أنا وانتي طالعة امشي لوين لأسفل وانتي نازلة لأسفل
+
+480
+00:39:11,980 --> 00:39:15,400
+برضه لأسفل اتغيرت؟ لأ اما قوة الاحتكاك بتنعكس
+
+481
+00:39:15,400 --> 00:39:19,280
+بنكمل المرة الجاية عشان ننهي هكذا محاضرة
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..07916a7af7492b451e5236c2b8a69c4cc5b1bc66
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8_postprocess.srt
@@ -0,0 +1,1924 @@
+1
+00:00:20,910 --> 00:00:24,790
+نسمى باسم الله الرحمن الرحيم و ننهي اليوم The last
+
+2
+00:00:24,790 --> 00:00:28,530
+topic of chapter 6 is power زي ما حكينا ال power
+
+3
+00:00:28,530 --> 00:00:33,950
+وهو القدرة بمصطلحها العلمي باللغة العربية هو عبارة
+
+4
+00:00:33,950 --> 00:00:41,210
+عن شغلبالنسبة للزمن على زمن كل ما قلي الزمن كل ما
+
+5
+00:00:41,210 --> 00:00:46,330
+كانت القدرة أكبر وبالتالي لما نحكي عن شغل و ندخل
+
+6
+00:00:46,330 --> 00:00:50,590
+عامل الزمن فيه بيصير في عندي مصطلح ال power أو
+
+7
+00:00:50,590 --> 00:00:55,170
+القدرة ال power is defined as time rate at which
+
+8
+00:00:55,170 --> 00:00:59,650
+work is doneتمام في عندي average power و
+
+9
+00:00:59,650 --> 00:01:02,970
+instantaneous power زي كل الكميات اللي مضت علينا
+
+10
+00:01:02,970 --> 00:01:07,550
+قبل كده ال average power ورمز ال power هي capital
+
+11
+00:01:07,550 --> 00:01:14,130
+P from the word power is delta W على delta T و
+
+12
+00:01:14,130 --> 00:01:18,190
+واضح من هنا أنه كل مهدي جلت و كل مهدي زادت و حكينا
+
+13
+00:01:18,190 --> 00:01:23,500
+مثال الحمار و الحصان أنه زمن الحصان أكبربالتالي
+
+14
+00:01:23,500 --> 00:01:29,340
+القدرة تبعك الإحصان أكبر وإن كان شغل لحمار وشغل
+
+15
+00:01:29,340 --> 00:01:35,100
+إحصان ممكن يكون ك output واحد إنه هذا حرط دلم وهذا
+
+16
+00:01:35,100 --> 00:01:38,700
+حرط دلم في نهاية المحاصلة واحدة ولكن أنا خدت
+
+17
+00:01:38,700 --> 00:01:45,400
+النتيجة بزمن أقصر للشخص للآلة أو للإنسان أو
+
+18
+00:01:45,400 --> 00:01:49,470
+للحيوان اللي قدرته أعلىمظبوط ولا لا؟ وبالتالي
+
+19
+00:01:49,470 --> 00:01:53,890
+جيبنا أمثلة كتيرة في كل الأجهزة الكهربائية
+
+20
+00:01:53,890 --> 00:01:57,570
+والأجهزة الميكانيكية في عندى حاجة اسمها قدرة
+
+21
+00:01:57,570 --> 00:02:03,190
+وبتكون مكتوبة على كل جهاز في القدرة وبالتالي عشان
+
+22
+00:02:03,190 --> 00:02:06,470
+أجيب ال instantaneous power بدي أجيب أنا قانون
+
+23
+00:02:06,470 --> 00:02:13,060
+نيوتن طبعا ال powerكإنستنتيوز هو الـ Average power
+
+24
+00:02:13,060 --> 00:02:19,080
+as the ΔT approaches zero لما تدل فترة زمانية تقول
+
+25
+00:02:19,080 --> 00:02:23,340
+إلى اللحظة بصير عندي ما يُعرف بالإنستنتيوز power
+
+26
+00:02:23,340 --> 00:02:28,760
+وهذا هو كفادر ال work بالنسبة للزمن ال work عرفته
+
+27
+00:02:28,760 --> 00:02:36,350
+على إنه forceضد DS قوة إزاحة بالتالي لو إجيت أشترل
+
+28
+00:02:36,350 --> 00:02:41,130
+عليها وطبق هذا القانون قولت دي W طبعا احنا بنعرف
+
+29
+00:02:41,130 --> 00:02:47,720
+انه الـWبساوي التكامل F.DS صح ولا لأ؟ أنا كتاب
+
+30
+00:02:47,720 --> 00:02:53,880
+الـDW بساوي F.DS كامل الترفيه المعادل هذه هو الـW
+
+31
+00:02:53,880 --> 00:02:58,700
+صحيح؟ فهي نفس القانون اللي انتوا عارفينه تمام فDW
+
+32
+00:02:58,700 --> 00:03:02,580
+هو كأنه جزء من الـW احنا اتفقنا ان كل كمية تسبق بD
+
+33
+00:03:02,580 --> 00:03:07,100
+بيكون جزء منها عنصر منها F.DS الآن الـPower Issue
+
+34
+00:03:07,100 --> 00:03:09,880
+هو بيقول لي الـ derivative of this with respect to
+
+35
+00:03:09,880 --> 00:03:16,780
+T فبصيالقوة دي دابليو over دي تي و equal F is
+
+36
+00:03:16,780 --> 00:03:21,520
+constant فهذه دي اس على دي تي وهذه مشتقة الإزاحة
+
+37
+00:03:21,520 --> 00:03:25,780
+بالنسبة للزمن الشيء في السرعة فصارت ال
+
+38
+00:03:25,780 --> 00:03:30,260
+instantaneous power بساوي القوة في السرعة القوة في
+
+39
+00:03:30,260 --> 00:03:34,440
+السرعة فإما بتكون شغل على زمن أو بتكون قوة في
+
+40
+00:03:34,440 --> 00:03:39,320
+السرعة كإنستنتيوز هدفي تمامالـ Unit تبعتي الـ
+
+41
+00:03:39,320 --> 00:03:45,790
+Power هي إما Joule على Second أو هي Wattأو إحصان
+
+42
+00:03:45,790 --> 00:03:51,150
+horse power بالنظام الإنجليزي اسمها إحصان عشان كده
+
+43
+00:03:51,150 --> 00:03:55,530
+دارج عندنا هذه الوحدة ووحدة الإحصان من جول المطور
+
+44
+00:03:55,530 --> 00:03:58,270
+خصوصا المواتير اللي عندنا اللي بتطلع ميه من جول
+
+45
+00:03:58,270 --> 00:04:03,150
+إحصان ولا إحصان ونص هذا هو .. وبالتالي هذه الإحصان
+
+46
+00:04:03,150 --> 00:04:06,610
+وإحصان ونص هي وحدة ال power بالنظام الإنجليزي
+
+47
+00:04:06,610 --> 00:04:10,640
+تمام؟ ممكن نحوّلها لوات؟ ممكن نحوّلها لواتوطبعا
+
+48
+00:04:10,640 --> 00:04:14,820
+الأجهزة الأغلبها بيكون مكتوب علينا عليها بالواط
+
+49
+00:04:14,820 --> 00:04:18,780
+واتفقنا في الأجهزة الكهربائية نفس الشيء كل القدرات
+
+50
+00:04:18,780 --> 00:04:26,120
+تكون بالواط تمام خلّيني أحلي مثال بيقول لي a 1500
+
+51
+00:04:26,120 --> 00:04:31,240
+kilogram car accelerates uniformly from rest to a
+
+52
+00:04:31,240 --> 00:04:33,900
+speed of 10 meters per second in three seconds
+
+53
+00:04:33,900 --> 00:04:40,540
+طبعاالسيارات لما ييجوا يصنعوها أول ميزة بتطلع
+
+54
+00:04:40,540 --> 00:04:44,660
+عليها انه لما ييجي تشغل السيارة وتصل سرعة قصوى
+
+55
+00:04:44,660 --> 00:04:47,440
+جديش تاخد زمان كل ما كان الزمان أقصر كل ما جعلوا
+
+56
+00:04:47,440 --> 00:04:50,680
+المطول السيارة أقوى و جديدة فبيقولي هذه السيارة
+
+57
+00:04:50,680 --> 00:04:55,720
+مصنع بفتخر بيقولك أنا سيارتي بتتصارع من السفر طبعا
+
+58
+00:04:55,720 --> 00:05:00,140
+دايما بتكون سفر تبدأ واقفة لسرعة 10 متر per second
+
+59
+00:05:00,140 --> 00:05:06,810
+في 3 ثوانينفي هكذا مواصفات بدو ال work done on the
+
+60
+00:05:06,810 --> 00:05:09,490
+car in this time بدو الشغل اللي حصل على السيارة
+
+61
+00:05:09,490 --> 00:05:13,530
+the average power delivered by the engine in the
+
+62
+00:05:13,530 --> 00:05:19,590
+first and second قدرةالمحرك تبع السيارة في خلال
+
+63
+00:05:19,590 --> 00:05:22,170
+هذه التلاتة ثانوية ثانوية ثانوية ثانوية ثانوية
+
+64
+00:05:22,170 --> 00:05:22,210
+ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية
+
+65
+00:05:22,210 --> 00:05:25,590
+ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية
+
+66
+00:05:25,590 --> 00:05:27,170
+ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية
+
+67
+00:05:27,170 --> 00:05:27,550
+ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية
+
+68
+00:05:27,550 --> 00:05:33,130
+ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية ثانوية
+
+69
+00:05:33,130 --> 00:05:37,150
+ثانوية ثانوية ثانوية ثانوية ثبدي ال work done يعني
+
+70
+00:05:37,150 --> 00:05:40,890
+بدي ال total work احنا قلنا ال total work بدي كل
+
+71
+00:05:40,890 --> 00:05:43,670
+القوة اللي بتأثر على السيارة و لا لا؟ و السيارة
+
+72
+00:05:43,670 --> 00:05:47,450
+بيأثر عليها كتير قوة و منها الاحتكاك و الشغلات
+
+73
+00:05:47,450 --> 00:05:50,770
+فجالي انا بدي اشيل في القوة جالي هو السرعة
+
+74
+00:05:50,770 --> 00:05:53,810
+الإتدائية تبعته معروفة و لا لا؟ و السرعة النهائية؟
+
+75
+00:05:53,810 --> 00:05:57,570
+معروفة اذا Delta K نعرفها وماش في عندي نظرية بتقول
+
+76
+00:05:57,570 --> 00:06:00,990
+W net بيسوي Delta K؟ خلاص اشيلك في القوة و تغلب
+
+77
+00:06:00,990 --> 00:06:04,490
+حالك فيها ليش؟إذا أنا في السؤال الأول بلزمنيش
+
+78
+00:06:04,490 --> 00:06:08,190
+القوة و أغلب حالي و أدور احتكاك و مش احتكاك و MG و
+
+79
+00:06:08,190 --> 00:06:12,370
+كل هذه الشغلات لأ بقول using the work kinetic
+
+80
+00:06:12,370 --> 00:06:16,210
+energy theorem بدي هذه النظرية اللي بتقول double
+
+81
+00:06:16,210 --> 00:06:21,270
+unit بتسوي delta K double unit بتسوي delta K و
+
+82
+00:06:21,270 --> 00:06:26,750
+بتسوي نص M V final تربيع minus V initial تربيع
+
+83
+00:06:26,750 --> 00:06:31,300
+بقول في الحال using the work energy theoremDouble
+
+84
+00:06:31,300 --> 00:06:38,980
+Unit بيسوي Delta K الان هذه موجودة تمام و هذه Zero
+
+85
+00:06:38,980 --> 00:06:44,020
+وبالتالي سهل ان اجيبها اذا ال V Initial Zero لانه
+
+86
+00:06:44,020 --> 00:06:48,590
+بيقوللي أكسليراتيليو فورمي فورمي Rest2 speed of 10
+
+87
+00:06:48,590 --> 00:06:51,250
+meters per second فهذه 10 meters per second تربيع
+
+88
+00:06:51,250 --> 00:06:56,650
+100 و ال M مش بالدنيا 1500 و النص كلكم بتعرفوه
+
+89
+00:06:56,650 --> 00:07:02,830
+بالتالي صار عندي نص في 1500 و هي كوتلة السيارة في
+
+90
+00:07:02,830 --> 00:07:06,810
+ال 100 اللي هي تربيع العشرة فطلعت ال work net
+
+91
+00:07:06,810 --> 00:07:13,490
+بالسواء 7.5 10 to power 4 جول هذا الشغل الكلي اللي
+
+92
+00:07:13,490 --> 00:07:17,160
+بذل على السيارة من جميع القوة اللي بتأثر عليهاغير
+
+93
+00:07:17,160 --> 00:07:19,380
+نظر الشيء القوة، لا أريد أن أدخل في تفاصيل القوة
+
+94
+00:07:19,380 --> 00:07:24,340
+الآن في المقطع الثاني يحتاج الـ Average Power الـ
+
+95
+00:07:24,340 --> 00:07:28,220
+Power عبارة عن شغل علاش؟عالزمن؟ عالزمن؟ عالزمن؟
+
+96
+00:07:28,220 --> 00:07:28,640
+عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟
+
+97
+00:07:28,640 --> 00:07:28,980
+عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟
+
+98
+00:07:28,980 --> 00:07:31,020
+عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟
+
+99
+00:07:31,020 --> 00:07:37,020
+عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟
+
+100
+00:07:37,020 --> 00:07:48,880
+عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟ عالزمن؟
+
+101
+00:07:48,880 --> 00:07:50,940
+عالزمن
+
+102
+00:07:52,460 --> 00:07:59,240
+هذه خمسة و عشرين كيلو واط هذه قدرة المحرك الخاص
+
+103
+00:07:59,240 --> 00:08:03,660
+بالسيارة خمسة و عشرين كيلو واط طبعا قدرة مش بسيطة
+
+104
+00:08:04,550 --> 00:08:08,390
+تمام طبعا انتوا عارفين كل ما زادت قدرة ال motor كل
+
+105
+00:08:08,390 --> 00:08:11,410
+ما بياكل بنزين اكتر يعني هادي بيجيب هادي عشان كده
+
+106
+00:08:11,410 --> 00:08:13,690
+اهر غز عشان البنزين غالي و يروحوا يدوروا على
+
+107
+00:08:13,690 --> 00:08:17,730
+السيارات الصغيرة اللي ماتسحبش بنزين عشان يوفروا و
+
+108
+00:08:17,730 --> 00:08:20,730
+طبعا احنا عندنا ميزة غير عن الضغفة الغربية ..
+
+109
+00:08:20,730 --> 00:08:24,730
+الضغفة الغربية شوارعها جبانوبالتالي في السيارات
+
+110
+00:08:24,730 --> 00:08:29,370
+الصغيرة بتعملش عندهم كتير لأن لازم تكون قدرة
+
+111
+00:08:29,370 --> 00:08:36,410
+المحرك قوية جدا و هو طالع طبعا انتم ان شاء الله
+
+112
+00:08:36,410 --> 00:08:41,370
+بصير في فرصة وصلوا لظروف الدفعة الغربية طرق وعرة
+
+113
+00:08:41,370 --> 00:08:47,380
+كتير خصوصا ما بيننابلس و القدس أغلبها .. أغلب
+
+114
+00:08:47,380 --> 00:08:51,720
+الطريق طريق جبلية طلوع و نزول فبتكون العملية صعبة
+
+115
+00:08:51,720 --> 00:08:55,340
+لكن هم هناك متعودين عليها و بمشوا بسهولة احنا ان
+
+116
+00:08:55,340 --> 00:08:58,040
+شاء الله .. احنا ده حالة في رأسنا نعتبرها جبل عالي
+
+117
+00:08:58,040 --> 00:09:02,660
+هاي اللي .. هاي اللي عندنا هاي اللي موجود تمام
+
+118
+00:09:04,990 --> 00:09:07,230
+طبعا for the instantaneous power قانون
+
+119
+00:09:07,230 --> 00:09:11,790
+instantaneous power بقول F ضد V إذا أنا عشان أجيب
+
+120
+00:09:11,790 --> 00:09:16,590
+ال power بدي F و بدي V طبعا زي ما حدث أزملتكم ال
+
+121
+00:09:16,590 --> 00:09:19,670
+two second أكبر two second إذا أنا مش مدين السرعة
+
+122
+00:09:19,670 --> 00:09:23,390
+عن ال two second بدي أجيبها أولا و بعد كده أجيب ال
+
+123
+00:09:23,390 --> 00:09:26,790
+force لأن ال force مش معطية طبعا لو جبت ال
+
+124
+00:09:26,790 --> 00:09:30,450
+acceleration بجيب ال force ولا لأ؟ لأن ال force
+
+125
+00:09:30,450 --> 00:09:34,190
+مستوي الف إيه؟ تمام؟ فبقول خلينا نبدأها من هنا
+
+126
+00:09:35,440 --> 00:09:42,860
+بيقول لي FB بيسوي F.V تمام؟ وهذه بيسوي MA.V إذا
+
+127
+00:09:42,860 --> 00:09:46,400
+جيبني ال acceleration تمام؟ بيقول لي في عند
+
+128
+00:09:46,400 --> 00:09:49,080
+القانون اللي أخدته زمان في أول شبطة أو ثاني شبطة
+
+129
+00:09:49,080 --> 00:09:53,420
+بيقول V equal V0 plus AT صح ولا لأ السرعة النهائية
+
+130
+00:09:53,420 --> 00:09:59,320
+معروفة عشرة والسرعة الابتدائية Zero وهذه تلاتة
+
+131
+00:09:59,320 --> 00:10:02,540
+second صح؟ بقدر أجيب ال acceleration تمام؟ هاي ال
+
+132
+00:10:02,540 --> 00:10:04,920
+acceleration جبتها تلاتة point تلاتة meter per
+
+133
+00:10:04,920 --> 00:10:08,480
+secondتمام هدى ال acceleration على اساس انها
+
+134
+00:10:08,480 --> 00:10:14,020
+constant تمام اذا بقدر اجيب القوة M في هذا المقدار
+
+135
+00:10:14,020 --> 00:10:18,240
+عشان اجيب السرعة عن two seconds برجع عود في هذا
+
+136
+00:10:18,240 --> 00:10:22,020
+القانون بس بحط هنا ال N ايش؟ two عشان اطلع السرعة
+
+137
+00:10:22,020 --> 00:10:27,360
+صحيح ولا لأ؟ تمام اذا ال power بيساوي M a dot v
+
+138
+00:10:27,360 --> 00:10:31,720
+انا هنامعتبرها عشرة مش عاوزة تجيبها الـ ten second
+
+139
+00:10:31,720 --> 00:10:35,660
+أنا مستسلح حالي إذا الـ two second زي ما هي بتقول
+
+140
+00:10:35,660 --> 00:10:39,120
+معناته هذي بتبطل عشرة هذي من أين بديبها V equal V
+
+141
+00:10:39,120 --> 00:10:44,020
+naught plus A فT هذي صفر وهذه عبارة عن three point
+
+142
+00:10:44,020 --> 00:10:47,820
+three في two فتطلع ستة point six six هذي اللي
+
+143
+00:10:47,820 --> 00:10:53,860
+بتغير مافيش مشكلة يعني التلاتة ولا التنين مافيش أي
+
+144
+00:10:53,860 --> 00:10:58,080
+إشكالية بس أنا يبدو أنه بدي أسهل على حالي أعملك
+
+145
+00:10:58,080 --> 00:11:05,130
+فيهاهكذا السؤال تمام هكذا احنا انا هنا الشبطة بدي
+
+146
+00:11:05,130 --> 00:11:08,430
+احل انا اخلص الشبطة عشان كده ال quiz بديش افتح
+
+147
+00:11:08,430 --> 00:11:13,450
+اليوم ومكرا افتحهم وبياخد معاكي أسبوع الآن عشان
+
+148
+00:11:13,450 --> 00:11:15,910
+قبل ما نبدأ الشبطة اللي ورا حابب احلها السؤال
+
+149
+00:11:15,910 --> 00:11:22,370
+السؤال 26 اخر سؤال في الكتاب في هذا الشبطة 26 عشان
+
+150
+00:11:22,370 --> 00:11:24,350
+برضه نفهم شوية
+
+151
+00:11:29,950 --> 00:11:35,730
+موجود موجود موجود موجود موجود موجود موجود موجود
+
+152
+00:11:35,730 --> 00:11:35,830
+موجود موجود موجود موجود موجود موجود موجود موجود
+
+153
+00:11:35,830 --> 00:11:37,930
+موجد موجد موجد موجد موجد موجد موجد موجد موجد موجد
+
+154
+00:11:37,930 --> 00:11:43,390
+موجد موجد موجد موجد موجد موجد
+
+155
+00:11:43,390 --> 00:11:49,450
+موجد موج
+
+156
+00:11:50,220 --> 00:11:54,000
+بيقولي a block of mass M equal 0.25 kilogram is
+
+157
+00:11:54,000 --> 00:11:58,280
+pushed against a spring هذا زي ما تشايفين هذا
+
+158
+00:11:58,280 --> 00:12:02,420
+زمبراك أنا سجاي بالكتلة وضغط الزمبراك is pushed
+
+159
+00:12:02,420 --> 00:12:06,300
+against a spring ضغط الزمبراك بيدفعلي أطلع إيدي
+
+160
+00:12:06,300 --> 00:12:09,380
+إيش بده يصير في هذه الكتلة؟ بده تنخذ القذف صح ولا
+
+161
+00:12:09,380 --> 00:12:13,480
+لأ؟ بيقولي هتنخذ القذف و تمشي هيك صح؟ متفقين؟ إذا
+
+162
+00:12:13,480 --> 00:12:19,770
+طبيعة الحركة فهمتجسم ضغط زنبراج فالتو بده يطلع
+
+163
+00:12:19,770 --> 00:12:24,010
+تمام بده يفعط زي ما بيسموها بالعمية حلو
+
+164
+00:12:26,300 --> 00:12:29,480
+كيه تبعت الـ spring ميعطنيها 800 نيوتن بمتر
+
+165
+00:12:29,480 --> 00:12:34,140
+compressing at a distance of 0.1 متر و هذه المسافة
+
+166
+00:12:34,140 --> 00:12:38,800
+اللي اتنقضت 10 سانتي حب .. ايش بده؟ when released
+
+167
+00:12:38,800 --> 00:12:42,640
+.. هذه اتفلتوا .. the block it travels along a
+
+168
+00:12:42,640 --> 00:12:45,660
+smooth circular track .. هذا كله smooth ليش
+
+169
+00:12:45,660 --> 00:12:51,040
+احتكاكة؟ و هذا Circular .. of radius of 0.4 متر ..
+
+170
+00:12:51,040 --> 00:12:54,890
+as shown in the figure .. ايش بدك؟Calculate the
+
+171
+00:12:54,890 --> 00:12:59,710
+network بدّو الـ Network acting on the block in
+
+172
+00:12:59,710 --> 00:13:03,170
+going from point A to point B، the top of the
+
+173
+00:13:03,170 --> 00:13:09,050
+track من النقطة A، من البداية، لما وصل النقطة B،
+
+174
+00:13:09,050 --> 00:13:10,110
+جديش الـ W نت
+
+175
+00:13:12,990 --> 00:13:16,910
+Find the force the track exerts on the block at
+
+176
+00:13:16,910 --> 00:13:24,150
+point B عند النقطة B يطالب كم قوة ال track على
+
+177
+00:13:24,150 --> 00:13:30,250
+الكتلة هذا ال track هو شارع أو طريق كم قوة الطريق
+
+178
+00:13:30,250 --> 00:13:32,970
+على الكتلة عند النقطة B
+
+179
+00:13:38,940 --> 00:13:42,740
+يلا مع بعض، كيف نفكر نحفظة بالـ unit؟ كيف نجيبه؟
+
+180
+00:13:42,740 --> 00:13:48,140
+كيف يعني طاقة الزنبراك؟ إيش رأيتي انت؟ أنا مش
+
+181
+00:13:48,140 --> 00:13:55,000
+معرفنى، أخدت زنبراك أو أخدت واشنطن؟ يعني،
+
+182
+00:13:55,000 --> 00:13:58,720
+وقت إيش الجسم مايكونش له طاقة وضع، لما يكون بيوضع
+
+183
+00:13:58,720 --> 00:14:05,830
+الإتزان؟ هل هو هيك متزن؟ لأطب مش هنا فيها احنا؟ طب
+
+184
+00:14:05,830 --> 00:14:10,090
+ممكن ناخد طاقة الحركة هي الشغل وانتوا خدتوا طاقة
+
+185
+00:14:10,090 --> 00:14:13,990
+الموضع في شبطر 6؟ ناخد طاقة الحركة هي الشغل انتوا
+
+186
+00:14:13,990 --> 00:14:17,570
+ماخدتوش طاقة الموضع لسه صحيح؟ فهذه سؤال على شبطر 6
+
+187
+00:14:17,570 --> 00:14:21,850
+واحدة واحدة ماتخدعوش أقوليش توجيهي معاه تمام؟ أنا
+
+188
+00:14:21,850 --> 00:14:28,650
+بدي أحل السؤال على شبطر 6 بدي W netمش احنا متفقين
+
+189
+00:14:28,650 --> 00:14:34,390
+الـ W net هو شغل أيش؟ هو جميع القوة اللي بتأثر
+
+190
+00:14:34,390 --> 00:14:39,990
+عليه او يقول دلتا K بس هل دلتا K عندي؟ كيه إينيشيل
+
+191
+00:14:39,990 --> 00:14:45,030
+جديش؟ V
+
+192
+00:14:45,030 --> 00:14:47,630
+initial بمعنى آخر كيه إينيشيل كان تقينيا الـV
+
+193
+00:14:47,630 --> 00:14:51,910
+initial جديش سرعة اتدائية يا بنات؟ سفر طب مين
+
+194
+00:14:51,910 --> 00:14:57,560
+يقولوا جديش سرعة انهية؟ مين جليك؟ شماله؟تعرفوها؟
+
+195
+00:14:57,560 --> 00:15:04,600
+لأ لأ و أنا فاش إذا أقول W لإنك مستوى دلتاكي
+
+196
+00:15:04,600 --> 00:15:08,540
+ماقدرش أحل و أقول في الشيء اللي إلا أشمر و أشوف
+
+197
+00:15:08,540 --> 00:15:12,800
+إيش فيه قوة بتأثر على الجسم و أجيب W لكل قوة على
+
+198
+00:15:12,800 --> 00:15:18,360
+حدها صحيح ولا لأ؟ إيش الجسم بيأثر عليه قوة؟ الـMG
+
+199
+00:15:18,360 --> 00:15:24,200
+حلو؟ وش كمان؟
+
+200
+00:15:26,080 --> 00:15:34,660
+إيش التلامس يعني؟ وها دي إيه نشية؟ قوة الزنبارك صح
+
+201
+00:15:34,660 --> 00:15:41,500
+ولا لأ؟ تمام وفي قوة الزنبارك فس تحت الزنبارك صحيح
+
+202
+00:15:41,500 --> 00:15:48,150
+ولا لأ؟ تمام، شغل هذاكرينه؟ مين ذكر الشغلها؟ماذا
+
+203
+00:15:48,150 --> 00:15:54,550
+نقول؟ نص بيكير بيكس نص بيكير نص بيكير بيكس
+
+204
+00:15:54,550 --> 00:16:01,010
+نص بيكير نص بيكير نص بيكير نص بيكير بيكس نص بيكير
+
+205
+00:16:01,010 --> 00:16:01,110
+نص بيكير نص بيكير نص بيكير نص بيكير نص بيكير نص
+
+206
+00:16:01,110 --> 00:16:01,750
+بيكير نص بيكير نص بيكير نص بيكير نص بيكير نص بيكير
+
+207
+00:16:01,750 --> 00:16:02,890
+نص بيكير نص بيكير نص بيكير نص بيكير نص بيكير نص
+
+208
+00:16:02,890 --> 00:16:09,770
+بيكير
+
+209
+00:16:09,770 --> 00:16:12,630
+نص بيكير نص بيكير نص بيكير نص بيكير نص بيكير نص
+
+210
+00:16:12,630 --> 00:16:16,970
+بيكير نص بيكير نص بيكير نص بيكير
+
+211
+00:16:16,970 --> 00:16:21,170
+نأسهل أحفظها هيك هل جيت positive أو negative تحتمد
+
+212
+00:16:21,170 --> 00:16:26,870
+إذا رايح على نقطة الاتزان معناته موجب نبعد من نقطة
+
+213
+00:16:26,870 --> 00:16:30,510
+الاتزان معناته سارب وخلاص أقعد أقول initial و
+
+214
+00:16:30,510 --> 00:16:36,130
+final غالبا هيك أحسنلي ما هي X معروفة المسافة
+
+215
+00:16:36,130 --> 00:16:43,420
+لانضغطها أو لانمدها صح ولا لا؟ حلو واتش موجب؟هو ..
+
+216
+00:16:43,420 --> 00:16:46,660
+واحدة واحدة عشان ما تحربطيش وقت إيه الشغل القوى
+
+217
+00:16:46,660 --> 00:16:49,860
+بيكون موجب؟ لما تكون هي و اللي زاحة مع بعض و لا ضد
+
+218
+00:16:49,860 --> 00:16:53,680
+بعض؟ مع بعض .. مع بعض .. ولا هيك اتضربت معاكي؟
+
+219
+00:16:53,680 --> 00:17:01,070
+أكيد؟ طيب و لما يكون سالب؟ طب ليش يكون سالب؟مهولة
+
+220
+00:17:01,070 --> 00:17:05,890
+عشان الزاوية 180 درجة صحيح؟ عشان ما تنساش أما مع
+
+221
+00:17:05,890 --> 00:17:09,230
+بعض الزاوية سفر كصين سفر واحد أما كصين 180 سلب
+
+222
+00:17:09,230 --> 00:17:14,190
+واحد إذا لما يكون القوة والإزاحة مع بعض بيكون
+
+223
+00:17:14,190 --> 00:17:18,890
+موجب، صح؟ هجت في الزنبرك دائما قوة الزنبرك باتجاه
+
+224
+00:17:18,890 --> 00:17:23,630
+نقطة الاتزان، صح؟ إذا الجسم رايح على نقطة الاتزان
+
+225
+00:17:23,630 --> 00:17:29,410
+صارت إزاحة قوته مع بعض، يصير موجبالزاوية سفر أما
+
+226
+00:17:29,410 --> 00:17:32,930
+إذا الجسم مبعد عن نقطة الإتزان بصير رزاحته هيك و
+
+227
+00:17:32,930 --> 00:17:38,650
+هو هيك فبصير سالب فهمناها عشان نعرفها حلو هجيت
+
+228
+00:17:38,650 --> 00:17:43,790
+مبدأ الجسم منها طبعا بدي أصلها و بعدين فرّت
+
+229
+00:17:43,790 --> 00:17:46,930
+الزنبراك و هو هجيت .. هو بدي اتحرك رايح عن نقطة
+
+230
+00:17:46,930 --> 00:17:51,190
+الإتزان ولا مبعد عنها مبعد مبعد و لا رايح رايح
+
+231
+00:17:51,190 --> 00:18:00,160
+رايح إذا شغله مودة إذا وS بسوء زائد نص K X تربية
+
+232
+00:18:00,160 --> 00:18:04,700
+هذا عبارة عن 80 وهذا عبارة عن 0.1 تربية طلعناها
+
+233
+00:18:04,700 --> 00:18:11,300
+ولا لأ؟ طلعناها هلو
+
+234
+00:18:11,300 --> 00:18:15,020
+WG
+
+235
+00:18:15,020 --> 00:18:18,100
+كيف أجيبها؟ تبع ال gravity
+
+236
+00:18:20,990 --> 00:18:24,730
+بدي أجيب شغل جاذبية من النقطة هذه إلى النقطة هذه
+
+237
+00:18:24,730 --> 00:18:29,730
+كم شغل جاذبية تعمل شغل؟
+
+238
+00:18:29,730 --> 00:18:40,110
+من نجلني؟ سفر لماذا؟ أريد أن أبقى أبقى مسكين تعالي
+
+239
+00:18:40,110 --> 00:18:45,350
+قعدي لحالك عشان بركنزاوي عدلت معاكي و بطلت قائمة
+
+240
+00:18:45,350 --> 00:18:51,160
+من نجلني؟شوف كيف أجيبه أنا أسأل إيه أني بقولك كيف
+
+241
+00:18:51,160 --> 00:18:57,980
+أجيبه احكوا هي وين الإزاحة؟ السؤال بيدي شغل جاذبية
+
+242
+00:18:57,980 --> 00:19:01,580
+ليش؟
+
+243
+00:19:01,580 --> 00:19:04,800
+عشان
+
+244
+00:19:04,800 --> 00:19:08,580
+الإزاحة إيش؟ أفقيها إيه الإزاحة؟ هي A و B على نفس
+
+245
+00:19:08,580 --> 00:19:13,280
+الخط؟ لو إنه ماشي من ها لها بقوله الله لرد
+
+246
+00:19:13,280 --> 00:19:18,830
+هالجاذبية بتعمل الشغل لإنه ماشي أفقيهطب يلّا نجيب،
+
+247
+00:19:18,830 --> 00:19:25,030
+أه هيك العصر MGP مش كاسية الشغل، بس لفة يعني هو
+
+248
+00:19:25,030 --> 00:19:30,950
+بتطلع فأنا بقولك من A ل B لفت ووصلت ووصلت بيهي بدي
+
+249
+00:19:30,950 --> 00:19:34,770
+الشغل من A ل B بيه، بيكون لف ل موصلها ولا لا، لف
+
+250
+00:19:34,770 --> 00:19:39,670
+كيف أجيب شغل جانبيه؟ كده أنت بدأت تفكر صحيح، إيش
+
+251
+00:19:39,670 --> 00:19:41,030
+عامل؟ إيش أصل؟
+
+252
+00:19:50,730 --> 00:19:57,250
+مجموع الإذاحتان يعني طيب بس غربلوها هذه الفكرة
+
+253
+00:19:57,250 --> 00:20:03,810
+بدون غربلة غربلوها فكروا فيها يعني احكيه اش عندك؟
+
+254
+00:20:03,810 --> 00:20:11,870
+فهمش خبصوا كيف ما بدكم احكيه كيف
+
+255
+00:20:11,870 --> 00:20:17,040
+يعني؟ مش لنص محيط الدائرة هوهذه المسافة مصنوحة
+
+256
+00:20:17,040 --> 00:20:21,620
+الدائرة كيف؟
+
+257
+00:20:21,620 --> 00:20:36,840
+تسألي ليش؟ بس
+
+258
+00:20:36,840 --> 00:20:38,620
+الـ8 من 10 أضع في الأربعة عشر قطق
+
+259
+00:20:42,100 --> 00:20:45,740
+أنا حطيت جزيل يعني حصيت ال .. يعني هلأ جماعة مش
+
+260
+00:20:45,740 --> 00:20:51,460
+أنت مانعطي نص القطر؟ لأ لأ هي كي شلّكتي احكي
+
+261
+00:20:51,460 --> 00:20:57,640
+القطر يعني
+
+262
+00:20:57,640 --> 00:21:01,180
+.. يعني هي بتعملي هيك خليني انت اللي وين اللي ..
+
+263
+00:21:01,180 --> 00:21:05,740
+انا قولتلها انت اعملتي هيك اه اه كده طيب انا بدي
+
+264
+00:21:05,740 --> 00:21:11,890
+أجيب هذه المسافة هيدي المسافةصح؟ آه، بس اللي أنا
+
+265
+00:21:11,890 --> 00:21:15,810
+حاسسه مش معاهو فانت .. لأ بدي .. أنا بديك إياها،
+
+266
+00:21:15,810 --> 00:21:19,070
+بديك إياها، بتفرج معاكي؟ لأ، لأن هو مش المسافة
+
+267
+00:21:19,070 --> 00:21:22,490
+الأقوطية اللي أثرت عليها الجازبية، العمودية أصلا،
+
+268
+00:21:22,490 --> 00:21:26,070
+هي الأثرت عليها .. طب ليش؟ لأنها أكس .. لأنها ..
+
+269
+00:21:26,070 --> 00:21:29,930
+هي الإتجاه .. هل جيت هادي بتفرج معاكم؟ لأ، ماناش
+
+270
+00:21:29,930 --> 00:21:34,910
+.. بيشتغل هنا؟ لأ إذن هذه المسافة ماكنوش تعرفيها؟
+
+271
+00:21:34,910 --> 00:21:41,290
+بس هذه المسافة اللي بدكم إياها، فقط، بحكيهيعني هو
+
+272
+00:21:41,290 --> 00:21:45,050
+بالأول كان صفر وصد زاوية صار تمية و تمانية؟ بين
+
+273
+00:21:45,050 --> 00:21:49,190
+إيش و إيش؟ بين موضوع A و موضوع B سؤال أنا خافقه
+
+274
+00:21:49,190 --> 00:21:56,730
+أنا إيش أنا جبت السؤال هذا؟ شوفوا درجة
+
+275
+00:21:56,730 --> 00:22:01,650
+من إيه؟ طبعا وصلنا طوال الطابق الخامس تمام؟ تمام
+
+276
+00:22:01,650 --> 00:22:07,790
+بدي شغل الجاذبية باخد هذه المسافات؟ لا
+
+277
+00:22:10,240 --> 00:22:17,540
+بس باخد هذا الارتفاع بس الأفخي ماني جاعو فيه
+
+278
+00:22:17,540 --> 00:22:24,720
+اقولكم كيف عاد احنا بالاصل اي إزاحة في الدنيا جوس
+
+279
+00:22:24,720 --> 00:22:30,940
+ولا اللي أنا رسمتها هيك مش هيك انت رسمتوها حللوها
+
+280
+00:22:30,940 --> 00:22:36,600
+مش هذي S بقدر أقول S ك vector بسوى XI زائد Y في J
+
+281
+00:22:38,710 --> 00:22:44,390
+مصبوط ولا لأ؟ ها دي S جل ال work بيساوي F ضد ال S
+
+282
+00:22:44,390 --> 00:22:48,470
+مش هيك عملناها؟ تمام ها دي F تبعت ل gravity بيساوي
+
+283
+00:22:48,470 --> 00:22:55,050
+MG بال J؟ ولا عليها خلاف؟ قوة الجاذبية كيف يكون
+
+284
+00:22:55,050 --> 00:23:00,090
+اتجاهها؟ لأسفل لأسفل عشان كده حطت J صحيح؟ أخدتوا
+
+285
+00:23:00,090 --> 00:23:05,370
+شفتر واحد؟خاتوة تعرف تعامل dot product؟ نعمل dot
+
+286
+00:23:05,370 --> 00:23:14,350
+product ماذا ساوي؟ سالب M G في J Dot X I زي Y J J
+
+287
+00:23:14,350 --> 00:23:18,030
+Dot I إذن
+
+288
+00:23:18,030 --> 00:23:22,970
+ليه تصوحت؟ المسافة اللوثقية مابينتش إيه اللي ضهر؟
+
+289
+00:23:22,970 --> 00:23:32,640
+بس ال Y فصرت سالب M G في Y وصلت؟ إذنهرجت هذا كان
+
+290
+00:23:32,640 --> 00:23:37,600
+هيك كان مجوّس حتى لو كان ال curve هيك بعد النصف
+
+291
+00:23:37,600 --> 00:23:45,560
+انا بين الارتفاع بس اذا و تبعت J ارجع في السؤال
+
+292
+00:23:45,560 --> 00:23:47,360
+اللي زي هذا سؤال
+
+293
+00:23:49,510 --> 00:23:55,410
+بدي أجيبه وبدي أكتبه اتفقنا WS بيساوي زائد نص K X
+
+294
+00:23:55,410 --> 00:24:01,490
+تربيع هذه 80 وهذه 0.1 كيف؟
+
+295
+00:24:01,490 --> 00:24:09,130
+ما هي حتة كموجة حكينا إيه؟ بسيطة
+
+296
+00:24:10,540 --> 00:24:14,420
+يعني اتخلفته زي هي أنا راضي فيها المربطات هذه تمام
+
+297
+00:24:14,420 --> 00:24:20,360
+هجيب W تبعتلي Gravity بيساوي سالب MG في اتنين R
+
+298
+00:24:20,360 --> 00:24:26,380
+اللي هو الارتفاع هذا بس
+
+299
+00:24:26,380 --> 00:24:31,540
+ماليش دعوة بالجوس ماليش دعوة بالمسافة الوضوخية
+
+300
+00:24:31,540 --> 00:24:35,800
+ماتجيش احللها و اجيب ال 1.1 تلزمنيش
+
+301
+00:25:00,690 --> 00:25:09,310
+WNET قرأة لسه مخلصتش بدي شغل inمش هي N كمان قوة؟
+
+302
+00:25:09,310 --> 00:25:14,210
+عشان تسينا هياش فيه NG وهنا .. وهنا اتفقنا فيه F S
+
+303
+00:25:14,210 --> 00:25:20,530
+بدي شغل N؟
+
+304
+00:25:20,530 --> 00:25:25,250
+تحكي
+
+305
+00:25:25,250 --> 00:25:29,090
+.. اه
+
+306
+00:25:29,090 --> 00:25:35,680
+هي بتقولي منهالشغل، دايما منهالشغل؟ والله دايماأنا
+
+307
+00:25:35,680 --> 00:25:40,340
+قولت .. صح؟ منيحة بالذات كده .. تلعبوا يا بنات ..
+
+308
+00:25:40,340 --> 00:25:43,460
+إيه؟ طب واحد بيقول .. طب ليه شافوا لات MG؟ MG
+
+309
+00:25:43,460 --> 00:25:49,760
+بتقدر حد يلعب فيها؟ دائما اللي أسفل .. N مع السطح
+
+310
+00:25:49,760 --> 00:25:53,320
+.. هال gate هنا عمودية .. طب هنا؟ بيقولي برضه
+
+311
+00:25:53,320 --> 00:25:56,760
+عمودية .. هيها .. هنا برضه عمودية .. هنا برضه
+
+312
+00:25:56,760 --> 00:26:00,300
+عمودية .. إذا ال N أصلا ليه سميتها N يا بنات؟
+
+313
+00:26:01,050 --> 00:26:05,250
+عشانها عمودية عشانها عمودية سميتها M عمودية عايش
+
+314
+00:26:05,250 --> 00:26:08,250
+على السطح يعني علي زاحة صحيح ولا لأ زي دوة من
+
+315
+00:26:08,250 --> 00:26:12,410
+التجارة تسألني بتقوللي جسم بتتحرك حركة جائرية
+
+316
+00:26:12,410 --> 00:26:17,030
+بسرعة ب speed constant constant speed القوة اللي
+
+317
+00:26:17,030 --> 00:26:23,790
+عليها Zero في أحد الإجاباتوانا حكيت على سيرة اني
+
+318
+00:26:23,790 --> 00:26:29,010
+انا بحكي قلت في مجان جسم يتحرك حركة دورانية بدون
+
+319
+00:26:29,010 --> 00:26:32,450
+ما يكون فيه قوة مركزية؟ لأ لما انت حكيته هدا كده؟
+
+320
+00:26:32,450 --> 00:26:34,190
+لأ لما انت حكيته هدا كده؟ لازم يتحرك حركة دورانية
+
+321
+00:26:34,190 --> 00:26:39,930
+لازم يكون فيه قوة مركزية ولا لأ؟ لازم، مانفعشلأنه
+
+322
+00:26:39,930 --> 00:26:43,530
+اتحرك حركة دورانية، إذا لابد من قوة تكون مسئولة،
+
+323
+00:26:43,530 --> 00:26:47,730
+هاي نغشتكم أحد السؤال، بيشان، بيشان، بنفعل، لأنه
+
+324
+00:26:47,730 --> 00:26:50,650
+أنه هدبك حاجة بحكيه، طبعا، بيجي واحدة ممكن صراحة
+
+325
+00:26:50,650 --> 00:26:54,550
+أنا ساعتها، ماكنتش مراقزها، يعني هاي الكلام أنا
+
+326
+00:26:54,550 --> 00:26:58,090
+حاكيه، وعشان كده أسلة ليكوزات كلها من الكلام اللي
+
+327
+00:26:58,090 --> 00:27:02,950
+بنحكيهكله .. طبعا ال trick كتير بيجي .. constant
+
+328
+00:27:02,950 --> 00:27:06,490
+speed .. إذا واحد وقعته إيه فالتصارع زيرو .. هي
+
+329
+00:27:06,490 --> 00:27:10,470
+سهل .. رجيع .. ده ماتفعل .. قولتلكم أول يواب يكون
+
+330
+00:27:10,470 --> 00:27:14,510
+زيرو .. عشان واحد ما يصدق يجيبه .. هو constant
+
+331
+00:27:14,510 --> 00:27:19,110
+speed مش constant velocityتمام؟ وهذه نفس العملية
+
+332
+00:27:19,110 --> 00:27:24,010
+أنا حكيت إن عمرها بتعمل شغل لأنها normal ومئة مرة
+
+333
+00:27:24,010 --> 00:27:27,270
+قلتلكم ال N إيش صميناها N يا بنات؟ مش حب بحرف ال N
+
+334
+00:27:27,270 --> 00:27:33,270
+لأ عشانها normal to the surface تمام؟ إذن هي MG MG
+
+335
+00:27:33,270 --> 00:27:38,990
+بتميرش مع السطح وبالتالي MG إلها شغل أحياناًأذا
+
+336
+00:27:38,990 --> 00:27:43,930
+الـ W تبع الـ N هو Zero دائما عمودي على السطح،
+
+337
+00:27:43,930 --> 00:27:51,170
+حلو، خلصنا إذا الـ WN بتساوي Zero إذا الـ WNet
+
+338
+00:27:51,170 --> 00:27:55,410
+بتساوي W تبع الـ Spring زي الـ W تبع الـ Gravity
+
+339
+00:27:55,410 --> 00:27:58,590
+هذا سالب وهذا موجب، هذا رقم برقم، كالكوليتر
+
+340
+00:27:58,590 --> 00:28:02,530
+بتجمعه، خلصنا؟ الفرع الأول لسه، هذا قصة العالم
+
+341
+00:28:02,530 --> 00:28:08,840
+الفرع التاني قصة تانية، لنشوفبسم الله .. طب ال
+
+342
+00:28:08,840 --> 00:28:13,660
+unit حصل عندنا ولا لا؟ اقرأولي عادي او ماتوب
+
+343
+00:28:13,660 --> 00:28:19,120
+التاني .. بيقوللي عند المختبى .. احكي .. بد ال
+
+344
+00:28:19,120 --> 00:28:25,420
+force .. ايش بده يعني؟
+
+345
+00:28:25,420 --> 00:28:31,700
+وجعنا في المحظورة .. انا برضه قلت .. قلت عمركم ما
+
+346
+00:28:31,700 --> 00:28:35,520
+تقولولي في قوة اسمة centripetal forceتقولّك اودي
+
+347
+00:28:35,520 --> 00:28:37,660
+دي القوة، تقولّي الـcentre of mental force؟ بدّي
+
+348
+00:28:37,660 --> 00:28:42,180
+القوة، أنا بدّي N، بدّي N، هذي N الشيّة، كام
+
+349
+00:28:42,180 --> 00:28:46,340
+بتعملها؟ ارسم في body diagram، وكملي، ها،
+
+350
+00:28:46,340 --> 00:28:50,400
+اتخربطيش، هي كتلة هنا، عنده نقطة إيه؟ إيش فيه هنا؟
+
+351
+00:28:50,400 --> 00:28:58,080
+وإيش فيه كمان؟ وفيه M، هلجيت؟ بتقولي N زائد MG
+
+352
+00:28:58,080 --> 00:29:04,990
+بتساوي MD تربيع على R ولا لأ؟هو بده N الشي N هذه
+
+353
+00:29:04,990 --> 00:29:09,310
+مش قوة المسار على الجسم و هو بده قوة المسار على
+
+354
+00:29:09,310 --> 00:29:16,530
+الجسم يعني بده N فبقوله N بتساوي M V تربيه على R
+
+355
+00:29:16,530 --> 00:29:28,980
+ناقشي يلا يا شاطري بده V V عند أي نقطة نقطة Bمن
+
+356
+00:29:28,980 --> 00:29:33,740
+يجيبني إياها؟ أقول واصيلة دي تربية بيساوينا
+
+357
+00:29:33,740 --> 00:29:39,660
+الطبيعي لأ دي 2GX، بنفعل؟ لأ. بنفعلش؟ هل هدفي
+
+358
+00:29:39,660 --> 00:29:45,240
+Falling؟ لأ. في قوة N عليه، إذا كيف أجيبها؟
+
+359
+00:29:45,240 --> 00:29:49,360
+بنجيبها من الطاقة الحركية. إيش أعمل؟ بنسويها بـW.
+
+360
+00:29:49,480 --> 00:29:55,840
+بقول W net بنسوي Delta K ولا لا؟ طب W net مش
+
+361
+00:29:55,840 --> 00:30:01,400
+هيتعبش أطلع تروحي و أنا بتجيبه؟جبتوا Delta K هي
+
+362
+00:30:01,400 --> 00:30:06,500
+عبارة عن نص and V final تربيع اللي بدّي إياها نقل
+
+363
+00:30:06,500 --> 00:30:11,360
+Zero بدأ منها سكون عند النقطة هذه و أنا جبت ال
+
+364
+00:30:11,360 --> 00:30:14,660
+double unit من A ل B و بالتالي الصراع عند A هي ال
+
+365
+00:30:14,660 --> 00:30:17,580
+research و الصراع عند B اللي بدّي إياها هي ال
+
+366
+00:30:17,580 --> 00:30:21,780
+final هذا double unit مش طلعته أنا وياكم هذا رقم
+
+367
+00:30:21,780 --> 00:30:27,380
+موجود و هذي بعرفها تمام؟ بجيب V بعوضها هنا بجيب M
+
+368
+00:30:31,490 --> 00:30:37,970
+كيف حد السؤال لو جيه فهمت حاجة؟ هه
+
+369
+00:30:37,970 --> 00:30:42,470
+طبعا هالجيت نيجي عشان كده هالجيت مانديش ييجي بيجي
+
+370
+00:30:42,470 --> 00:30:47,650
+زيه بس يعني الفكرة تبعته عشان مايجيش واحد يقوللي
+
+371
+00:30:47,650 --> 00:30:50,610
+مكرهه و الله يسلمني لما حلت السؤال كنت صراحانة و
+
+372
+00:30:50,610 --> 00:30:57,400
+غير الرسمةلأ أنا راضي بغيرها بأسفل بس حل المهم
+
+373
+00:30:57,400 --> 00:31:02,160
+المهم الفكرة تبقى محمولة مايجيش فيه blind seat و
+
+374
+00:31:02,160 --> 00:31:05,760
+لو كنت صرحانة و هي الفكرة فكرة و أنت لو تتطلع على
+
+375
+00:31:05,760 --> 00:31:09,580
+كل الأسئلة لك و الذاتوان شاء الله انا بركن اليوم
+
+376
+00:31:09,580 --> 00:31:13,500
+هحطلكم امتحانات اي جد امتحانات كمان اتأكد من ان
+
+377
+00:31:13,500 --> 00:31:16,360
+امتحانات شغالة ولا لا بدأ احط امتحانات سابقة عشان
+
+378
+00:31:16,360 --> 00:31:18,940
+نشوف الأسئلة في الامتحان برضه كتير مشابهة للأسئلة
+
+379
+00:31:18,940 --> 00:31:22,660
+في كوزات في بعض منها وطبعا بالإضافة للأسئلة الحل
+
+380
+00:31:22,660 --> 00:31:27,820
+بيجيب في الامتحان ايه بتنحل بهذا الشكل على كل
+
+381
+00:31:27,820 --> 00:31:31,200
+الأحوال انا ارجو انه الأسئلة لما تيجي تحلوها حلوها
+
+382
+00:31:31,200 --> 00:31:34,420
+هيك بحالكم عشان تفهموها
+
+383
+00:31:36,460 --> 00:31:42,900
+هكذا ننهي هذه القصة، القصة التالية ستتحدث عن تحفظ
+
+384
+00:31:42,900 --> 00:31:56,140
+الطاقة بصورة أوسع على الطاقة وحفظ الطاقة، سؤالها
+
+385
+00:31:56,140 --> 00:32:02,330
+مهم جدابتقول كيف ال N و ال MG كانوا بنفس الاتجاه
+
+386
+00:32:02,330 --> 00:32:09,090
+هجيت ال MG تيجي هتلعبي فيها؟ متفقين هلجيت ال N قوة
+
+387
+00:32:09,090 --> 00:32:16,680
+اش علاش؟هذه .. قوة الطاولة ممكن تكون الأسفل على
+
+388
+00:32:16,680 --> 00:32:19,840
+هذه الكتلة؟ إذا من أين إلى أين؟ من الطاولة إلى
+
+389
+00:32:19,840 --> 00:32:24,540
+الجسم؟ طب أنت تريد من السطح إلى الجسم؟ ممكن تكون
+
+390
+00:32:24,540 --> 00:32:27,520
+لفوق؟ لو كان لفوق، كان طارها، الله سبحانه وتعالى،
+
+391
+00:32:27,520 --> 00:32:31,840
+مستحيل، هو يضغط لأعلى لأعلى، فهذه القوة إذا فهمنا
+
+392
+00:32:31,840 --> 00:32:35,360
+إيش معاها القوة وكيف تقع فيها، الاتجاه بصير سهل،
+
+393
+00:32:35,360 --> 00:32:39,180
+زي الشد، ممكن يكون .. أنا أرقبت شغلة في السجف،
+
+394
+00:32:39,180 --> 00:32:44,550
+الشد يكون الأسفل؟لأ، عند نقطة الربط ده من شده
+
+395
+00:32:44,550 --> 00:32:49,570
+لنقطة الربط وهكذا القوة فالقوة كلها بدها حدث زي ما
+
+396
+00:32:49,570 --> 00:32:53,410
+خربتكم لما قلت FS عكس الحركة انجلبت مرة لي صارت مع
+
+397
+00:32:53,410 --> 00:32:56,910
+الحركة على الجسم الفوجاني طبعا هذه اختلفت لأن هو
+
+398
+00:32:56,910 --> 00:33:05,910
+المتحرك وبالتالي بدنا نفكر فيها بهذه الطريقة بس
+
+399
+00:33:05,910 --> 00:33:06,790
+ناخد عنوانه
+
+400
+00:33:21,280 --> 00:33:25,100
+الشبطر سيفت هيكون عنوانه زي ما انتوا شايفين
+
+401
+00:33:25,100 --> 00:33:29,600
+conservation of energy طبعا conservation of energy
+
+402
+00:33:29,600 --> 00:33:33,560
+بهذا القانون اشتغلنا عليه وحكينا صيرته بابليونك
+
+403
+00:33:33,560 --> 00:33:38,360
+بيساوي ال Delta K هذا مفهوم لأنه الطاقة محفوظة انه
+
+404
+00:33:38,360 --> 00:33:44,040
+وين راحت ال energy؟بقول الشغل صارت تمام؟ بس الآن
+
+405
+00:33:44,040 --> 00:33:50,380
+بدي نحكي عن مفهوم طاقة الوضع طاقة الوضع وبالتالي
+
+406
+00:33:50,380 --> 00:33:57,050
+بدي يصير لل energy مفهوم أكبر وبيصيرباستخدام هذا
+
+407
+00:33:57,050 --> 00:34:01,250
+ال concept وهو conservation of energy بقدر أحل كل
+
+408
+00:34:01,250 --> 00:34:05,430
+مسائلي و بدون ما أطلع على ال work هي استبدل ال
+
+409
+00:34:05,430 --> 00:34:08,170
+work بال potential energy هجيت .. خلّيني أقول
+
+410
+00:34:08,170 --> 00:34:14,590
+كتاري أنه أنا عندي جسم رفعته لفوقبنقول solar
+
+411
+00:34:14,590 --> 00:34:18,270
+potential energy صح ولا لأ؟ خدتها في الثانوية لكن
+
+412
+00:34:18,270 --> 00:34:22,390
+و انا رافع انا بدأت شغل ولا لأ؟ انا بدأت شغل هذا
+
+413
+00:34:22,390 --> 00:34:27,590
+الشغل وين راح؟ بيقول يتخزن جوا على هيئة طاقة وضع
+
+414
+00:34:27,590 --> 00:34:33,030
+تماء؟ طيب حلو انا بدأت شغل و الجاذبية بدأت شغل و
+
+415
+00:34:33,030 --> 00:34:38,030
+بالاخر الشغل هتتخزن هذا الجسم ماشي هيك وهذه سطح
+
+416
+00:34:38,030 --> 00:34:43,080
+احتكاكأه أه هالاحتكاك عامل شغل؟ بقوله أه مش قوة
+
+417
+00:34:43,080 --> 00:34:48,010
+الاحتكاك طب هدى القوةتخزنت على أي طاقة توضع بمعنى
+
+418
+00:34:48,010 --> 00:34:52,410
+آخر أنا هذه لما رفعته وفلقته، مش بدى يرجع، صح؟ هذه
+
+419
+00:34:52,410 --> 00:34:56,750
+بدى أمسكها من هنا، أحطها هنا، ارجعي، ترجع؟ إذا
+
+420
+00:34:56,750 --> 00:35:01,510
+مافيش طاقة تخزنت، إذا في قوة طاقتها بتتخزن، وفي
+
+421
+00:35:01,510 --> 00:35:05,770
+قوة طاقتها بتتخزنش، لاحتكاك، طاقته ماتخزنتش عشان
+
+422
+00:35:05,770 --> 00:35:10,010
+يرجع، أول راحت، وعنها ضاعت، ضاعت حرارةأحنا لما
+
+423
+00:35:10,010 --> 00:35:12,650
+يصير في احتكاك مش ميصير احنا زمان كنا و احنا صغار
+
+424
+00:35:12,650 --> 00:35:16,850
+بقى عاشت واحد ايام معظم الناس زينا كنا في ال .. في
+
+425
+00:35:16,850 --> 00:35:20,150
+البرد إيش يقولوننا و احنا صغار اعملوا هيك؟ لساتكم
+
+426
+00:35:20,150 --> 00:35:23,650
+بتعمل زينا؟ بما أن الدفايات موجودة احنا أيامنا كنا
+
+427
+00:35:23,650 --> 00:35:26,390
+غلابة يعني لسه مافي دفايات ولا في كهربا و لا حالي
+
+428
+00:35:26,390 --> 00:35:29,090
+و احنا صغار فكانوا يقولوننا يعملوا هيك إيش بنسوي؟
+
+429
+00:35:29,090 --> 00:35:32,810
+بنعمل احتكاك ما بين قدين إيدينا صح؟ عشان يتولد
+
+430
+00:35:32,810 --> 00:35:37,230
+حرارة و الإيديان اللي كانوا نقعد على الصف مايعرفش
+
+431
+00:35:37,230 --> 00:35:41,910
+نمسك الجلد منتمام؟ إيه الصين يعرف يمسك الجلام؟
+
+432
+00:35:41,910 --> 00:35:49,710
+فإذا احتكاك مولد حرارة وبيدفّي معناته بيقولليالقوة
+
+433
+00:35:49,710 --> 00:35:55,850
+بدي أجسمها لجسمين قوة تحافظ على الطاقة بمعنى آخر
+
+434
+00:35:55,850 --> 00:36:02,430
+تخزن طاقتها وقوة تفقد الطاقة وبالتالي غير محافظة
+
+435
+00:36:02,430 --> 00:36:05,230
+فعشان كده بيسموها conservative and non
+
+436
+00:36:05,230 --> 00:36:09,470
+conservative forces القوة المحافظة والقوة غير
+
+437
+00:36:09,470 --> 00:36:14,320
+المحافظةالغير محافظ اللي بيضيع طاقة والمحافظ اللي
+
+438
+00:36:14,320 --> 00:36:18,180
+بيحتفظ من الطاقة من هنا جالسه تمام؟ زي .. بيقول
+
+439
+00:36:18,180 --> 00:36:22,240
+الجاذبية الأرضية مابضيعش الجاذبية الأرضية مابضيعش
+
+440
+00:36:22,240 --> 00:36:26,480
+طاقة بتخزنها وكذلك الزنبراك لما اضغط الزنبراك
+
+441
+00:36:26,480 --> 00:36:31,740
+وقفلته بيضل ولا بتجعب إذا هو احتفظ بالطاقة على
+
+442
+00:36:31,740 --> 00:36:36,980
+هيئة الطاقة توضع ورجحها لا احتكال .. لا جال يشوفكل
+
+443
+00:36:36,980 --> 00:36:40,380
+القوة بدك تعتبرها غير محافظة باستثناء قوتين اللي
+
+444
+00:36:40,380 --> 00:36:44,260
+مافيش لهم حالياً الجاذبية و الزنبرك طبعا بعد كده
+
+445
+00:36:44,260 --> 00:36:48,840
+هتيجينا قوة محافظة زي القوة الكهربية و القوة
+
+446
+00:36:48,840 --> 00:36:53,200
+المناطسية لكن احنا في الميكانيكا عناش الا بس قوتين
+
+447
+00:36:53,200 --> 00:37:00,300
+محافظات قوة الجاذبية و قوة الزنبرك فقط تمام؟أذا
+
+448
+00:37:00,300 --> 00:37:03,240
+بيقول لي طيب انا مستحكي بالإنقليزي لحكيته بالعربي
+
+449
+00:37:03,240 --> 00:37:08,260
+the force is conservative if the work done by it
+
+450
+00:37:08,260 --> 00:37:11,340
+on a particle that moves between two points
+
+451
+00:37:11,340 --> 00:37:15,180
+depends only on these points and not on the path
+
+452
+00:37:15,180 --> 00:37:19,180
+followed ايش يعني؟ بيقول لي زي ما توي حكينا منيح
+
+453
+00:37:19,180 --> 00:37:23,990
+اللي حلنا السؤال هذا هاجد هادي بلاش هاديانتوا ممكن
+
+454
+00:37:23,990 --> 00:37:28,990
+تطلعوا من الدرج للطاقة غرفة هادي صح ولا لا؟ بدي
+
+455
+00:37:28,990 --> 00:37:34,310
+أحسب شغل الجاذبية بنتين بدي أخد مثال بنت طلعت على
+
+456
+00:37:34,310 --> 00:37:39,610
+المصعد ووصلت هنا بدي شغل الجاذبية و بنت جايها بجري
+
+457
+00:37:39,610 --> 00:37:43,790
+قاعدت جزجة طول الطريق في كل طابق راحت و إجت هجي
+
+458
+00:37:43,790 --> 00:37:47,490
+الطريق الأول خير عن الطريق التاني لما قادي أسأل
+
+459
+00:37:47,490 --> 00:37:50,890
+شغل الجاذبية للبنت الأولى و بنت تالتة بدي أجيبها
+
+460
+00:37:50,890 --> 00:37:54,660
+من الحبل من هنانفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+461
+00:37:54,660 --> 00:37:57,000
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس
+
+462
+00:37:57,000 --> 00:37:58,940
+الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+463
+00:37:58,940 --> 00:38:01,400
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس
+
+464
+00:38:01,400 --> 00:38:01,640
+الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+465
+00:38:01,640 --> 00:38:02,100
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس
+
+466
+00:38:02,100 --> 00:38:04,580
+الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+467
+00:38:04,580 --> 00:38:10,900
+نفس الشيء؟ نفس الشيء؟ نفس الشيء؟ نفس الشيء؟
+
+468
+00:38:10,900 --> 00:38:15,320
+نفس الشيء؟
+
+469
+00:38:15,320 --> 00:38:18,760
+نفس الشيء؟ نفس الشيء؟ نفس
+
+470
+00:38:20,630 --> 00:38:24,510
+طلعته وين كان على الطاولة رجعته على الطاولة نقطة
+
+471
+00:38:24,510 --> 00:38:29,990
+البداية والنهاية زي ما هي جدش الشغل بقوله Zero نجل
+
+472
+00:38:29,990 --> 00:38:34,810
+الاحتكاك بدي أمشي أخر حاجة بدي أمشي هادي هيك و
+
+473
+00:38:34,810 --> 00:38:37,390
+أقول جيبني شغل احتكاك أو بدي أقول بدي أخليها
+
+474
+00:38:37,390 --> 00:38:43,790
+أشممها الأوى أخليها أطف فيك و أتصل هل لنفس القوة؟
+
+475
+00:38:43,790 --> 00:38:50,800
+لأ الشغل مختلف الشغل هيكأكبر، بلاش، هذه الشغل
+
+476
+00:38:50,800 --> 00:38:56,420
+ورجعتها، هل الشغل Zero؟لأ لأن وانا ماشي هيك في شغل
+
+477
+00:38:56,420 --> 00:39:02,660
+وانا راجع في شغل الفوق غير هنا قوة الاحتكاك وانت
+
+478
+00:39:02,660 --> 00:39:07,160
+ماشي عكسك وانت راجع عكسك يعني انعكست قوة الاحتكاك
+
+479
+00:39:07,160 --> 00:39:11,980
+انا وانتي طالعة امشي لوين لأسفل وانتي نازلة لأسفل
+
+480
+00:39:11,980 --> 00:39:15,400
+برضه لأسفل اتغيرت؟ لأ اما قوة الاحتكاك بتنعكس
+
+481
+00:39:15,400 --> 00:39:19,280
+بنكمل المرة الجاية عشان ننهي هكذا محاضرة
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..8020f7550b09d54f90193bd39a0a3ebc6abd865f
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/kCwH1MNbUV8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3497, "start": 20.91, "end": 34.97, "text": "نسمى باسم الله الرحمن الرحيم و ننهي اليوم The last topic of chapter 6 is power زي ما حكينا ال power وهو القدرة بمصطلحها العلمي باللغة العربية هو عبارة عن شغل", "tokens": [1863, 38251, 7578, 4724, 32277, 2304, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 8717, 1863, 3224, 1829, 45595, 20498, 440, 1036, 4829, 295, 7187, 1386, 307, 1347, 30767, 1829, 19446, 11331, 4117, 1829, 8315, 2423, 1347, 37037, 2407, 25062, 3215, 25720, 4724, 2304, 9381, 9566, 1211, 5016, 11296, 18863, 19528, 1829, 20666, 1211, 17082, 3660, 18863, 25513, 10632, 31439, 6225, 3555, 9640, 3660, 18871, 13412, 17082, 1211], "avg_logprob": -0.1862545358961907, "compression_ratio": 1.4705882352941178, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 20.91, "end": 21.31, "word": "نسمى", "probability": 0.531005859375}, {"start": 21.31, "end": 21.55, "word": " باسم", "probability": 0.8453776041666666}, {"start": 21.55, "end": 21.73, "word": " الله", "probability": 0.955078125}, {"start": 21.73, "end": 22.07, "word": " الرحمن", "probability": 0.95654296875}, {"start": 22.07, "end": 22.41, "word": " الرحيم", "probability": 0.9866536458333334}, {"start": 22.41, "end": 22.53, "word": " و", "probability": 0.64599609375}, {"start": 22.53, "end": 22.75, "word": " ننهي", "probability": 0.822509765625}, {"start": 22.75, "end": 24.05, "word": " اليوم", "probability": 0.934814453125}, {"start": 24.05, "end": 24.37, "word": " The", "probability": 0.135986328125}, {"start": 24.37, "end": 24.79, "word": " last", "probability": 0.68310546875}, {"start": 24.79, "end": 25.11, "word": " topic", "probability": 0.62548828125}, {"start": 25.11, "end": 25.35, "word": " of", "probability": 0.9091796875}, {"start": 25.35, "end": 25.67, "word": " chapter", "probability": 0.81201171875}, {"start": 25.67, "end": 26.07, "word": " 6", "probability": 0.73095703125}, {"start": 26.07, "end": 26.31, "word": " is", "probability": 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32.23, "end": 33.35, "word": " هو", "probability": 0.88232421875}, {"start": 33.35, "end": 33.95, "word": " عبارة", "probability": 0.996826171875}, {"start": 33.95, "end": 34.27, "word": " عن", "probability": 0.9921875}, {"start": 34.27, "end": 34.97, "word": " شغل", "probability": 0.98828125}], "temperature": 1.0}, {"id": 2, "seek": 5611, "start": 36.77, "end": 56.11, "text": "بالنسبة للزمن على زمن كل ما قلي الزمن كل ما كانت القدرة أكبر وبالتالي لما نحكي عن شغل و ندخل عامل الزمن فيه بيصير في عندي مصطلح ال power أو القدرة ال power is defined as time rate at which work is done", "tokens": [3555, 6027, 1863, 35457, 3660, 24976, 11622, 27842, 15844, 30767, 27842, 28242, 19446, 12174, 20292, 6024, 110, 27842, 28242, 19446, 25961, 2655, 25062, 3215, 25720, 5551, 4117, 26890, 46599, 6027, 2655, 6027, 1829, 5296, 15042, 8717, 5016, 4117, 1829, 18871, 13412, 17082, 1211, 4032, 8717, 3215, 9778, 1211, 6225, 10943, 1211, 6024, 110, 27842, 8978, 3224, 4724, 1829, 9381, 13546, 8978, 18871, 16254, 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75.63, "word": " مهدي", "probability": 0.62060546875}, {"start": 75.63, "end": 76.09, "word": " جلت", "probability": 0.9597981770833334}, {"start": 76.09, "end": 76.51, "word": " و", "probability": 0.430419921875}, {"start": 76.51, "end": 76.59, "word": " كل", "probability": 0.6572265625}, {"start": 76.59, "end": 76.93, "word": " مهدي", "probability": 0.9837239583333334}, {"start": 76.93, "end": 77.47, "word": " زادت", "probability": 0.9864908854166666}, {"start": 77.47, "end": 77.77, "word": " و", "probability": 0.91796875}, {"start": 77.77, "end": 78.19, "word": " حكينا", "probability": 0.916748046875}, {"start": 78.19, "end": 78.63, "word": " مثال", "probability": 0.82470703125}, {"start": 78.63, "end": 79.03, "word": " الحمار", "probability": 0.7676595052083334}, {"start": 79.03, "end": 79.13, "word": " و", "probability": 0.85107421875}, {"start": 79.13, "end": 79.67, "word": " الحصان", "probability": 0.9441731770833334}, {"start": 79.67, "end": 80.49, "word": " أنه", 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2313.25, "word": " بدي", "probability": 0.9189453125}, {"start": 2313.25, "end": 2313.55, "word": " أمشي", "probability": 0.9615478515625}, {"start": 2313.55, "end": 2313.77, "word": " هادي", "probability": 0.861328125}, {"start": 2313.77, "end": 2314.35, "word": " هيك", "probability": 0.983154296875}, {"start": 2314.35, "end": 2314.81, "word": " و", "probability": 0.6875}, {"start": 2314.81, "end": 2314.99, "word": " أقول", "probability": 0.831298828125}, {"start": 2314.99, "end": 2315.23, "word": " جيبني", "probability": 0.72064208984375}, {"start": 2315.23, "end": 2315.45, "word": " شغل", "probability": 0.9710286458333334}, {"start": 2315.45, "end": 2315.93, "word": " احتكاك", "probability": 0.95537109375}, {"start": 2315.93, "end": 2316.23, "word": " أو", "probability": 0.72509765625}, {"start": 2316.23, "end": 2316.81, "word": " بدي", "probability": 0.869140625}, {"start": 2316.81, "end": 2316.95, "word": " أقول", "probability": 0.929443359375}, {"start": 2316.95, "end": 2317.11, "word": " بدي", "probability": 0.6773681640625}, {"start": 2317.11, "end": 2317.39, "word": " أخليها", "probability": 0.7261962890625}, {"start": 2317.39, "end": 2317.79, "word": " أشممها", "probability": 0.759765625}, {"start": 2317.79, "end": 2318.13, "word": " الأوى", "probability": 0.6582845052083334}, {"start": 2318.13, "end": 2318.59, "word": " أخليها", "probability": 0.69244384765625}, {"start": 2318.59, "end": 2318.79, "word": " أطف", "probability": 0.77587890625}, {"start": 2318.79, "end": 2319.47, "word": " فيك", "probability": 0.688720703125}, {"start": 2319.47, "end": 2320.23, "word": " و", "probability": 0.4501953125}, {"start": 2320.23, "end": 2320.59, "word": " أتصل", "probability": 0.7845052083333334}, {"start": 2320.59, "end": 2322.67, "word": " هل", "probability": 0.6368408203125}, {"start": 2322.67, "end": 2322.95, "word": " لنفس", "probability": 0.7400716145833334}, {"start": 2322.95, "end": 2323.79, "word": " القوة؟", "probability": 0.8970947265625}, {"start": 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4032, 7649, 995, 12602, 26108, 3615, 8978, 13412, 17082, 1211, 27188, 30543, 32771, 13546, 34105, 12174, 2407, 3660, 42963, 33753, 4117, 995, 4117, 4032, 7649, 2655, 3714, 33599, 1829, 6225, 4117, 3794, 4117, 4032, 7649, 2655, 12602, 26108, 3615, 6225, 4117, 3794, 4117, 37495, 22653, 16472, 3615, 4117, 3794, 2655, 12174, 2407, 3660, 42963, 33753, 4117, 995, 4117, 1975, 8315, 4032, 7649, 31371, 23032, 6027, 27884, 1975, 2304, 8592, 1829, 45164, 9957, 5296, 10721, 3794, 5172, 1211, 4032, 7649, 31371, 8717, 31377, 37977, 5296, 10721, 3794, 5172, 1211, 4724, 43042, 3224, 5296, 10721, 3794, 5172, 1211, 1975, 2655, 17082, 13546, 2655, 22807, 5296, 10721, 1975, 15042, 12174, 2407, 3660, 42963, 33753, 4117, 995, 4117, 39894, 1863, 3615, 4117, 3794, 44945, 24793, 1211, 9673, 25720, 25724, 995, 10632, 6225, 8592, 7649, 8717, 1863, 3224, 1829, 8032, 4117, 15730, 3714, 5016, 46958, 25720], "avg_logprob": -0.16455696447740628, "compression_ratio": 2.2822966507177034, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2333.74, "end": 2334.26, "word": "لأ", "probability": 0.8544921875}, {"start": 2334.26, "end": 2335.06, "word": " لأن", "probability": 0.69482421875}, {"start": 2335.06, "end": 2335.3, "word": " وانا", "probability": 0.6371256510416666}, {"start": 2335.3, "end": 2335.64, "word": " ماشي", "probability": 0.9578450520833334}, {"start": 2335.64, "end": 2335.82, "word": " هيك", "probability": 0.94091796875}, {"start": 2335.82, "end": 2335.94, "word": " في", "probability": 0.8857421875}, {"start": 2335.94, "end": 2336.42, "word": " شغل", "probability": 0.9641927083333334}, {"start": 2336.42, "end": 2337.12, "word": " وانا", "probability": 0.8904622395833334}, {"start": 2337.12, "end": 2337.52, "word": " راجع", "probability": 0.9820963541666666}, {"start": 2337.52, "end": 2337.68, "word": " في", "probability": 0.97021484375}, {"start": 2337.68, "end": 2338.26, "word": " شغل", "probability": 0.8995768229166666}, {"start": 2338.26, "end": 2340.18, "word": " الفوق", "probability": 0.396728515625}, {"start": 2340.18, "end": 2340.6, "word": " غير", "probability": 0.9638671875}, {"start": 2340.6, "end": 2341.42, "word": " هنا", "probability": 0.73681640625}, {"start": 2341.42, "end": 2341.92, "word": " قوة", "probability": 0.9482421875}, {"start": 2341.92, "end": 2342.44, "word": " الاحتكاك", "probability": 0.9384765625}, {"start": 2342.44, "end": 2342.66, "word": " وانت", "probability": 0.8876953125}, {"start": 2342.66, "end": 2343.0, "word": " ماشي", "probability": 0.9666341145833334}, {"start": 2343.0, "end": 2343.48, "word": " عكسك", "probability": 0.9892578125}, {"start": 2343.48, "end": 2344.24, "word": " وانت", "probability": 0.9695638020833334}, {"start": 2344.24, "end": 2344.56, "word": " راجع", "probability": 0.9611002604166666}, {"start": 2344.56, "end": 2345.34, "word": " عكسك", "probability": 0.9974365234375}, {"start": 2345.34, "end": 2345.9, "word": " يعني", "probability": 0.687744140625}, {"start": 2345.9, "end": 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2351.98, "end": 2352.24, "word": " برضه", "probability": 0.8582356770833334}, {"start": 2352.24, "end": 2352.68, "word": " لأسفل", "probability": 0.98662109375}, {"start": 2352.68, "end": 2353.4, "word": " اتغيرت؟", "probability": 0.8484700520833334}, {"start": 2353.4, "end": 2353.96, "word": " لأ", "probability": 0.883056640625}, {"start": 2353.96, "end": 2354.18, "word": " اما", "probability": 0.6920166015625}, {"start": 2354.18, "end": 2354.4, "word": " قوة", "probability": 0.98486328125}, {"start": 2354.4, "end": 2354.76, "word": " الاحتكاك", "probability": 0.99150390625}, {"start": 2354.76, "end": 2355.4, "word": " بتنعكس", "probability": 0.8525390625}, {"start": 2355.4, "end": 2356.78, "word": " بنكمل", "probability": 0.7942708333333334}, {"start": 2356.78, "end": 2357.06, "word": " المرة", "probability": 0.801025390625}, {"start": 2357.06, "end": 2357.34, "word": " الجاية", "probability": 0.7879231770833334}, {"start": 2357.34, "end": 2357.64, "word": " عشان", "probability": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/mk4mK9scIcs.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/mk4mK9scIcs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bd06f720a80d3030ba0a3c49db64e96daf2c515b
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/mk4mK9scIcs.srt
@@ -0,0 +1,2042 @@
+1
+00:00:20,770 --> 00:00:23,490
+نقول بسم الله الرحمن الرحيم اليوم إن شاء الله
+
+2
+00:00:23,490 --> 00:00:28,450
+هنبدأ أول محاضرة في الـ course زي ما احنا اتفقنا
+
+3
+00:00:28,450 --> 00:00:32,730
+أنه في عندنا حوالي 12 chapter الـ chapter الأول
+
+4
+00:00:32,730 --> 00:00:37,330
+عنوانه measurements and vectors أو القياسات
+
+5
+00:00:37,330 --> 00:00:43,850
+والكميات المتجهة لأن كلمة vectors بتتكرر عندنا كتير ف
+
+6
+00:00:43,850 --> 00:00:47,850
+vector كمية متجهة و scalar اللي عندنا هنتعرف عليها
+
+7
+00:00:47,850 --> 00:00:50,570
+هي الكمية القياسية
+
+8
+00:00:51,940 --> 00:00:55,740
+بعرفش قدرتم تفوتوا على الموقع و تجيبوا هذا موجود
+
+9
+00:00:55,740 --> 00:01:00,120
+عندي في الموقع ولا لا الورق؟ ما قدرتش أسحبه على كل
+
+10
+00:01:00,120 --> 00:01:04,780
+حوالي ما هو نفس الكتاب بس بصورة مبسطة أكثر الموضوع
+
+11
+00:01:04,780 --> 00:01:09,320
+الأول اللي هنشرحه هو الـ units and standards ال
+
+12
+00:01:09,320 --> 00:01:12,820
+units اللي هي الوحدات تمام؟ و الـ standards اللي هي
+
+13
+00:01:12,820 --> 00:01:17,100
+المعايير اللي بنحكي عنها احنا اتفقنا احنا وإياكم
+
+14
+00:01:17,100 --> 00:01:22,980
+أنه الكميات الفيزيائية بتتميز عن الكميات الرياضية
+
+15
+00:01:22,980 --> 00:01:29,170
+أن الكمية الرياضية هي كمية مجردة بنحكي X equals 5
+
+16
+00:01:29,170 --> 00:01:35,410
+أو X equals 3 أو X equals minus 5 بدون ما نقول إيش
+
+17
+00:01:35,410 --> 00:01:40,030
+اللي بعد الـ 5 إيش اللي بعد الـ 3 لكن في الفيزيا هذا
+
+18
+00:01:40,030 --> 00:01:45,390
+الكلام ما بيصيرش لأن الـ X أو الـ Y بتعني كمية حقيقية
+
+19
+00:01:45,390 --> 00:01:49,990
+معروفة وبالتالي كون الكمية معروفة لابد أن أنا
+
+20
+00:01:49,990 --> 00:01:55,670
+أميزها بوحدة معينة هذه الوحدة بنا نتفق كيف نتعامل
+
+21
+00:01:55,670 --> 00:01:59,850
+معها إذا any physical quantity أي كمية فيزيائية
+
+22
+00:01:59,850 --> 00:02:05,340
+must have besides its numerical value الكمية
+
+23
+00:02:05,340 --> 00:02:09,660
+الرقمية زي خمسة و تلاتة و اتنين هذي هي numerical
+
+24
+00:02:09,660 --> 00:02:13,700
+values أرقام مجردة الكمية الفيزيائية بكفيش نكتب
+
+25
+00:02:13,700 --> 00:02:17,040
+خمسة و اتنين و تلاتة و عشرة و مية و متين لازم نحط
+
+26
+00:02:17,040 --> 00:02:21,920
+بجنبها besides its numerical value a standard unit
+
+27
+00:02:21,920 --> 00:02:26,960
+unit متعرف عليها عند الجميع الكل بعرفها تمام كيف
+
+28
+00:02:26,960 --> 00:02:31,160
+هدول الـ units احنا نتعامل معاهم بنقول فيزياء
+
+29
+00:02:31,940 --> 00:02:36,780
+مختصة بعلم الميكانيكا في الفيزياء علم الميكانيكا كل
+
+30
+00:02:36,780 --> 00:02:40,380
+ما يتعلق بالميكانيكا طبعا الكميات اللي بتحكم
+
+31
+00:02:40,380 --> 00:02:44,780
+الميكانيكا كميات فيزائية معروفة زي الإزاحة زي
+
+32
+00:02:44,780 --> 00:02:50,340
+السرعة زي التسارع زي القوة الـ energy أو الطاقة كل
+
+33
+00:02:50,340 --> 00:02:53,540
+الكميات اللي مرت عليكم هذه الكميات لها علاقة
+
+34
+00:02:53,540 --> 00:02:58,840
+بالميكانيكا بصورة عامة هذه الكميات كلها مشتقة من
+
+35
+00:02:58,840 --> 00:03:03,960
+كميات أساسية تلاتة عندي إذا الـ mechanics all
+
+36
+00:03:03,960 --> 00:03:08,260
+quantities are derived to stock from ... احنا
+
+37
+00:03:08,260 --> 00:03:11,480
+متفقين اللغة أفادتكم منها جيت بس احنا بداية بنحاول
+
+38
+00:03:11,480 --> 00:03:14,780
+نترجم from the three fundamental quantities اللي
+
+39
+00:03:14,780 --> 00:03:21,180
+هم الـ mass الكتلة الـ length الطول و الـ time و بعد
+
+40
+00:03:21,180 --> 00:03:25,960
+كده كل الكميات الأخرى نشتقهم منها تمام؟ زي مثلا
+
+41
+00:03:25,960 --> 00:03:31,600
+نقول سرعة إيش منا الذاكر وحدتها؟ متر لكل إذا
+
+42
+00:03:31,600 --> 00:03:36,180
+معناته length على time length على time لجنجول
+
+43
+00:03:36,180 --> 00:03:40,360
+القوة القوة ما هي كتلة في تسارع إذا هي كتلة
+
+44
+00:03:40,360 --> 00:03:44,280
+والتسارع عبارة عن length على زمن تربيع فكل الكميات
+
+45
+00:03:44,280 --> 00:03:47,520
+اللي ممكن تيجي على بالكم بنشتقهم من هدول التلاتة
+
+46
+00:03:47,520 --> 00:03:51,400
+فقط تمام؟ إذا قالوا خلينا نركز على هدول التلاتة
+
+47
+00:03:51,400 --> 00:03:57,810
+ونعمل التالي تمام؟ كان نظام وحدات يقول في عندي تلت
+
+48
+00:03:57,810 --> 00:04:03,090
+أنظمة للوحدات متعرف عليها عالميا هي المتواجدة
+
+49
+00:04:03,090 --> 00:04:11,070
+ومكررة وتستخدم بصورة كبيرة أول واحد هو الأشهر
+
+50
+00:04:11,070 --> 00:04:14,670
+international system عشان كده يسموه عالمي الدولي
+
+51
+00:04:14,670 --> 00:04:20,530
+هذا هو الأشهر وهذا الـ system الدولي العلمي كل
+
+52
+00:04:20,530 --> 00:04:25,090
+الأمور العلمية بيستخدموا هذا الـ system طبعا بيسموه
+
+53
+00:04:25,090 --> 00:04:28,930
+الـ SI من system international الكلمة الفرنسية
+
+54
+00:04:28,930 --> 00:04:32,570
+الأصلية تبعته فإيه جاية SI international system
+
+55
+00:04:32,570 --> 00:04:37,010
+الكلمة الإنجليزية تبعته؟ فيه إله اسم آخر جاية من
+
+56
+00:04:37,010 --> 00:04:40,210
+وين أنتو طالعين يقولون احنا mass و length و time
+
+57
+00:04:43,790 --> 00:04:48,730
+معنى الـ mass كيلو جرام الـ length متر و الـ time
+
+58
+00:04:48,730 --> 00:04:52,970
+second فهي جاية من إيش بتستخدم وحداتك أنت لهذول
+
+59
+00:04:52,970 --> 00:04:59,030
+التلاتة فمتر كيلو جرام second هذا اسم وهذا اسم
+
+60
+00:04:59,030 --> 00:05:03,810
+الرسمي تبعه في كمان system بيسموه الـ Gaussian
+
+61
+00:05:03,810 --> 00:05:08,050
+system طبعا Gaussian اسم عالم هذا النظام سموه لأن
+
+62
+00:05:08,050 --> 00:05:11,370
+هو أكثر واحد بيستخدمه سموه الـ Gaussian system أو
+
+63
+00:05:11,370 --> 00:05:12,930
+centimeter
+
+64
+00:05:15,530 --> 00:05:20,390
+الجرام ثانية، ظلت زي ما هي، هذا النظام الثاني، هذا
+
+65
+00:05:20,390 --> 00:05:25,030
+الأشهر، هذا الأقل شهرة، في واحد مزعج، لكن موجود
+
+66
+00:05:25,030 --> 00:05:27,710
+وانتعمل معه، اللي هو الـ British Engineering
+
+67
+00:05:27,710 --> 00:05:34,090
+System اللي هو باستخدام القدم والميل و الـ Bound
+
+68
+00:05:34,090 --> 00:05:37,910
+و الشغلات هذه طبعا ليش ينزعج و بحبوش حد يتعامل معه
+
+69
+00:05:37,910 --> 00:05:40,870
+خصوصا في الأمور العلمية عشان عنده التحويل بيغلب
+
+70
+00:05:40,870 --> 00:05:45,530
+احنا بنعرف المتر فيه مية سنتي مظبوط ولا لأ؟ و
+
+71
+00:05:45,530 --> 00:05:48,350
+الكيلو جرام فيه ألف جرام لكن إما نحكي عن الـ meal
+
+72
+00:05:48,350 --> 00:05:51,690
+أكم قدم بتلاقوه مش أصفار وبالتالي في التحويل بيدوه
+
+73
+00:05:51,690 --> 00:05:54,690
+Calculator أما هؤلاء يريدون أن يتحولوا لـ Game
+
+74
+00:05:54,690 --> 00:05:59,230
+فاصلات و يدفعوا فاصلات أسهل في التعامل فهذا أقل
+
+75
+00:05:59,230 --> 00:06:04,370
+الشهرة طبعا هذا منتشر حتى الآن في المسافات في
+
+76
+00:06:04,370 --> 00:06:08,630
+أمريكا و بريطانيا كثير بتستخدم هذا مازالوا لكن في
+
+77
+00:06:08,630 --> 00:06:12,890
+الأمور العلمية بيحاولوا هذا يتجنبوا اتفقوا عليها
+
+78
+00:06:14,940 --> 00:06:18,700
+نشوف كل الـ System إيش الوحدات تبعته؟ احنا متفقين
+
+79
+00:06:18,700 --> 00:06:21,740
+إيش الوحدات الأصلية؟ دول مش غيرهم و الباقي كله
+
+80
+00:06:21,740 --> 00:06:26,840
+مشتق منه تمام؟ Length، Mass و Time الـ System
+
+81
+00:06:26,840 --> 00:06:30,200
+الأول اللي هو الـ International System و احنا في
+
+82
+00:06:30,200 --> 00:06:35,220
+غالبنا غالبا أكثر من 95% من مسائلنا هتكون في هذا
+
+83
+00:06:35,220 --> 00:06:38,430
+الـ System إذا هذا هو الأشهر وهذا هو الأكثر
+
+84
+00:06:38,430 --> 00:06:42,330
+استخداما وهذا اللي هنركز عليه أكثر حاجة لكن هذا لا
+
+85
+00:06:42,330 --> 00:06:45,690
+يمنع أن هذا و هذا ممكن يمر علينا ونعرف كيف نتعامل
+
+86
+00:06:45,690 --> 00:06:50,570
+معاهم إذا الـ length بهذا الـ system بنقيسه بإيش؟
+
+87
+00:06:50,570 --> 00:06:53,950
+بالـ meter و الـ meter كلكم بتعرفه اللي هو فيه مية
+
+88
+00:06:53,950 --> 00:06:58,090
+سنتي و الـ kilometer فيه ألف متر و هذه كلها الشغلات
+
+89
+00:06:58,090 --> 00:07:02,650
+المعروفة الـ mass بنقيسها بالـ kilograms اختصارها
+
+90
+00:07:02,650 --> 00:07:09,990
+كيلو جرام كيلو جرام كيلو جرام كيلو جرام كيلو جرام
+
+91
+00:07:09,990 --> 00:07:13,430
+كيلو جرام كيلو جرام كيلو جرام كيلو جرام في حد ممكن
+
+92
+00:07:13,430 --> 00:07:18,290
+يخرب أن تقول هذه كتلة ولا زمان؟ لأ خلاص أنا كتبت
+
+93
+00:07:18,290 --> 00:07:21,450
+كيلو جرام يعني عرفت إنها كتلة إذا صارت الوحدة
+
+94
+00:07:21,450 --> 00:07:26,010
+بتعطي معنى كبير للمقدار بالصينيين بتفهم عايش بتحكي
+
+95
+00:07:26,010 --> 00:07:29,450
+أنها بتحكي عن كمية زائدة معروفة غير لما نقول
+
+96
+00:07:29,450 --> 00:07:33,510
+تلاتة تلاتة hours ولا seconds ولا kilograms ولا
+
+97
+00:07:33,510 --> 00:07:37,190
+meters ولا meals مائة ألف احتمال لكن أنا لما أحط
+
+98
+00:07:37,190 --> 00:07:41,570
+والله هذه عبارة عن متر خلاص ما فيش الاحتمال واحد
+
+99
+00:07:41,990 --> 00:07:45,970
+صحيح ولا لأ؟ إذن الوحدة كتير مهمة أن نحطها جانب
+
+100
+00:07:45,970 --> 00:07:54,570
+الرقم بتعطينا تعريف كامل للكمية الفيزيائية الزمن
+
+101
+00:07:54,570 --> 00:07:58,310
+يقاس بالـ seconds في النظام العالمي اللي هم
+
+102
+00:07:58,310 --> 00:08:01,530
+الثواني مظبوط ولا لأ؟ و كل ما نعرف الدقيقة كم ثانية
+
+103
+00:08:01,530 --> 00:08:06,050
+و الساعة كم دقيقة أو كم ثانية كله بنجيبه الـ
+
+104
+00:08:06,050 --> 00:08:09,890
+Gaussian System بيستخدم الـ centimeter للـ .. للـ
+
+105
+00:08:09,890 --> 00:08:13,890
+length مش الـ meter الـ centimeter تمام؟ و بيستخدم
+
+106
+00:08:13,890 --> 00:08:19,510
+للماس الـ gram الـ gram اللي رمزها g أما الزمن
+
+107
+00:08:19,510 --> 00:08:23,770
+هتلاقوا الزمن هذا بيبقى زي ما هو ما تغيرش الـ
+
+108
+00:08:23,770 --> 00:08:30,070
+seconds تمام هيك؟ عشان كده سميته MKS
+
+109
+00:08:30,070 --> 00:08:35,610
+System و هذا سميته CGS System طبعا هذا بيستخدموه
+
+110
+00:08:35,610 --> 00:08:39,590
+غالبا في الأمور الكهربية أكثر لأنه بتسهل عليهم في
+
+111
+00:08:39,590 --> 00:08:42,730
+بعض الأمور أما في الـ mechanics هذا أشهر زي ما
+
+112
+00:08:42,730 --> 00:08:47,530
+اتفقنا النظام الأقل شهرة النظام البريطاني بيستخدم
+
+113
+00:08:47,530 --> 00:08:54,050
+القدم للمسافات القدم والياردة و الميل تمام؟ و الإنش
+
+114
+00:08:54,750 --> 00:09:00,350
+سمعتوا فيهم تمام أما الأساسية هي الـ foot القدم و
+
+115
+00:09:00,350 --> 00:09:04,050
+باستخدام وحدة بيسموها الـ slug أو بيسموها الرطل
+
+116
+00:09:04,050 --> 00:09:07,790
+الإنجليزي مرات بالعربي أما هي slug خلاص لو طلعتوا
+
+117
+00:09:07,790 --> 00:09:10,250
+عينتوا على القموس إيش معناه slug بيقولوا وحدة
+
+118
+00:09:10,250 --> 00:09:13,390
+الكتلة في النظام البريطاني هي معناتها يعني ما لهاش
+
+119
+00:09:13,390 --> 00:09:19,070
+اسم نقول والله إيش معناه خلاص هي slug وحدة الكتلة
+
+120
+00:09:19,070 --> 00:09:25,100
+في النظام البريطاني مش شيء جديد الثانية اتغيرت؟ ما
+
+121
+00:09:25,100 --> 00:09:32,140
+اتغيرتش إذا هذه هي الأنظمة تبعتنا هذا هنزهج و
+
+122
+00:09:32,140 --> 00:09:37,780
+نستخدمه بعد كده هتمر علينا بس هذه الكميات؟ لأ
+
+123
+00:09:37,780 --> 00:09:43,880
+طبعا هناخد كميات كتيرة كل كمية جديدة هتمر علينا
+
+124
+00:09:43,880 --> 00:09:48,500
+هنقول إيش وحدتها بالأنظمة التلاتة و احنا ماشيين في
+
+125
+00:09:48,500 --> 00:09:52,520
+طول الـ course إذا لها وحدة خاصة بها زي نقول
+
+126
+00:09:52,520 --> 00:09:56,320
+الطاقة لها وحدة خاصة بها ولا لأ؟ اللي هي الـU
+
+127
+00:09:56,320 --> 00:10:00,300
+بنحكي إن هذه وحدتها هيك في النظام هذا هيك وفي
+
+128
+00:10:00,300 --> 00:10:04,380
+النظام هذا هيك فكل ما احنا ماشيين و بنجيبها أصلها
+
+129
+00:10:04,380 --> 00:10:07,780
+الشغلة كيف يعني لما نجيب أصلها؟ يعني بدلالتها دول
+
+130
+00:10:07,780 --> 00:10:12,860
+التلاتة فكل كمية هنجيب وحدتها إذا لها وحدة مشهورة
+
+131
+00:10:13,790 --> 00:10:19,570
+و هنجيب إيش بتساوي من أصل المشتقة تبع الـ 3 كميات
+
+132
+00:10:19,570 --> 00:10:22,550
+اللي هم الـ Mass و الـ Length و الـ Time تمام
+
+133
+00:10:22,550 --> 00:10:30,430
+عرفنا إن في عندي أنا تلاتة systems طيب مرات فيه
+
+134
+00:10:30,430 --> 00:10:35,190
+أنا عندي مسائل و بدي أجمعها و أضرب ... لما أجيب مثل
+
+135
+00:10:35,190 --> 00:10:39,910
+و بدي أحل ... بدي أجمع ... نفترض يداني مسافة ... جالي
+
+136
+00:10:39,910 --> 00:10:43,070
+خمسة كيلومتر ... طب أمين ... خمسة كيلومتر ... ممكن
+
+137
+00:10:43,070 --> 00:10:47,610
+نجيبها ... خمسة كيلومتر ... ها ... بنقول ها دي نفترض
+
+138
+00:10:47,610 --> 00:10:51,430
+مسافة واحد ... المسافة الثانية دي اتنين بيساوي ...
+
+139
+00:10:51,430 --> 00:10:56,390
+نقول عشرين متر ... و جالي راح أجمع ... بنفع أقول دي
+
+140
+00:10:56,390 --> 00:11:00,730
+واحد زي اتنين بيساوي خمسة وعشرين؟ ... ما بنفعش ... إذا
+
+141
+00:11:00,730 --> 00:11:04,570
+إيش أسوي؟ ... جالي لازم أنت تختار system واحد
+
+142
+00:11:04,570 --> 00:11:10,050
+لمسألتك و كل الكميات ترجعها لهذا الـ system ما بينفعش
+
+143
+00:11:10,050 --> 00:11:14,120
+تكون عندك في نفس المسألة المسافة الأولى بـ system
+
+144
+00:11:14,120 --> 00:11:17,840
+و الكتلة الثانية في system آخر لأ بيبقى توحيد الـ
+
+145
+00:11:17,840 --> 00:11:22,680
+system و يتحول و التحويل سهل يعني ما فيش داعي أنه كنت
+
+146
+00:11:22,680 --> 00:11:25,920
+تقول والله كم ده أنا أحفظ المتر كم كيلومتر و كم
+
+147
+00:11:25,920 --> 00:11:29,100
+سنتيمتر حتى لو مش عارفينها مش قضية هذه موجودة ما هي
+
+148
+00:11:29,100 --> 00:11:33,440
+جداول في كل الكتب و موجودة على الـ net لو حطيته
+
+149
+00:11:33,440 --> 00:11:36,260
+بيجيب لكم إياها يعني ما فيش داعي لو حد يحفظها و زي ما
+
+150
+00:11:36,260 --> 00:11:39,840
+احنا متفقين هنا في شغلات معينة لو الطالب قال الـ
+
+151
+00:11:39,840 --> 00:11:41,980
+kilometer نسيته كم متر بقوله ألف متر يعني
+
+152
+00:11:41,980 --> 00:11:46,060
+بتفرقش مش ضروري الواحد يحفظها بس المهم يكون عارف
+
+153
+00:11:46,060 --> 00:11:49,340
+أنه لازم يحول إذا عارف إنه بدي أحول و نسي
+
+154
+00:11:49,340 --> 00:11:53,560
+المعلومة بكفي إنه يعرف إنه لازم أحول هذه المهم
+
+155
+00:11:53,560 --> 00:11:56,460
+مش يروح يجمع لي يقولي والله دي واحد زي اتنين سوى خمس
+
+156
+00:11:56,460 --> 00:11:58,840
+وعشرين و نقول ليش تعمل الـ take؟ والله ما كنتش أعرف
+
+157
+00:11:58,840 --> 00:12:02,540
+إن كيلومتر كم متر لا هذه مش حجة لازم تعرف إنه
+
+158
+00:12:02,540 --> 00:12:06,020
+ما يمكنش نجمع خمس خيارات و تلات أفحات بسوء تمانية
+
+159
+00:12:06,020 --> 00:12:12,330
+ثمانية إيش؟ خيارات ولا طفوحات؟ ما بنفعش تمام؟ إذا نحن
+
+160
+00:12:12,330 --> 00:12:15,970
+لازم نعرف إنه ما بنفعش إلا إن نحول و نختار system
+
+161
+00:12:15,970 --> 00:12:19,710
+واحد if different unit systems إذا عندك أكثر من
+
+162
+00:12:19,710 --> 00:12:23,730
+نظام وحدات are used in a physical equation أي
+
+163
+00:12:23,730 --> 00:12:27,070
+معادلة فيزيائية و المعادلة الفيزيائية كتيرة و زي
+
+164
+00:12:27,070 --> 00:12:29,870
+ما اتفقنا المعادلة اللي جامعة بحب أكتبها هنا V
+
+165
+00:12:29,870 --> 00:12:33,810
+بتساوي V0 زائد AT هذه بتشبهها بنات عين بتساوي عين
+
+166
+00:12:33,810 --> 00:12:39,380
+سافر زائد ... إيش تفنون؟ تافي زين احنا أيام ما كان
+
+167
+00:12:39,380 --> 00:12:43,440
+الزمن موجود بالرمز نون إيه اتغيرت إيه زمانكم صار
+
+168
+00:12:43,440 --> 00:12:47,780
+نون زين احنا أيام نون تمام المهم هي معادلة هي
+
+169
+00:12:47,780 --> 00:12:52,440
+معادلة فيزيائية بدي أعوض عنها هذه V وهذه V0 وهذه سرعة
+
+170
+00:12:52,440 --> 00:12:55,760
+ابتدائية وهذه acceleration وهذه قاعدة تمام؟ ما
+
+171
+00:12:55,760 --> 00:12:58,040
+يمكن أن تكون هذه بالـ SI system وهذه بالـ
+
+172
+00:12:58,040 --> 00:13:01,600
+engineering system وهذه بالـ CGS system لا يمكن
+
+173
+00:13:01,600 --> 00:13:05,300
+يجب أن نوحدها عشان أعرف لما أجمع هنا بدي أضرب وهنا
+
+174
+00:13:05,300 --> 00
+
+216
+00:16:10,820 --> 00:16:15,500
+بالتلاتة Systems شايفينهم؟ MKS، CGS و الـ British
+
+217
+00:16:15,500 --> 00:16:20,980
+MKS اللي هو SI والـ CGS هو الـ Gaussian هو نفسه
+
+218
+00:16:20,980 --> 00:16:25,780
+تمام خلّيني أشوف أمثلة بيقول الـ Area سمعتوا فيها؟
+
+219
+00:16:25,780 --> 00:16:33,050
+مساحة إيش وحدتها؟ إذا هي length في length صح ولا
+
+220
+00:16:33,050 --> 00:16:35,970
+لأ؟ إذا الـdimension تبقى حكيمي ده كتبه جعله يكتب
+
+221
+00:16:35,970 --> 00:16:41,170
+L تربيع مش هي L في L زي X في X X تربيع إذا
+
+222
+00:16:41,170 --> 00:16:44,030
+الـdimension احنا متفقين في عندي تلاتة أساسيات
+
+223
+00:16:44,030 --> 00:16:48,870
+Mass, Length و Time الكميات الباقية كلها بدنا نشتق
+
+224
+00:16:48,870 --> 00:16:53,370
+منها، هي الـ Area، هذه كمية مش أساسية، كمية مشتقة
+
+225
+00:16:53,370 --> 00:16:58,310
+من الوحدات الأساسية، اللي هي اتفقنا التربيع، هي
+
+226
+00:16:58,310 --> 00:17:01,610
+ال dimension تبعها، عملية سهلة، مافيش أسهل منها،
+
+227
+00:17:01,610 --> 00:17:04,610
+وحتى الرموز زي ما أنتم شايفين، احنا عندنا مادة
+
+228
+00:17:04,610 --> 00:17:10,110
+بيقول بالعربي، لكل مسمى من اسمه نصير، فدائما الاسم
+
+229
+00:17:10,110 --> 00:17:13,770
+عشان يديكِ المعنى، ليش جاله الـ .. عشان الـ length،
+
+230
+00:17:13,770 --> 00:17:16,070
+عشان الواحد ما يخربطش، الواحد يقول .. الواحد يقول
+
+231
+00:17:16,070 --> 00:17:18,530
+دي هو يحفظ، الـ mass إيش رمزها، إيش رمزها، لأ،
+
+232
+00:17:18,530 --> 00:17:21,310
+ما بتخليه يحفظها، خلاص، يقول دي يا أبو ما زالت جولة
+
+233
+00:17:21,310 --> 00:17:24,910
+mass إن عرفت إيش الرمز تبعها، الـ time إن عرفت،
+
+234
+00:17:24,910 --> 00:17:29,980
+فهدي إيه، تربيع، إيه التربيع؟ تمت وحدتها في عندي
+
+235
+00:17:29,980 --> 00:17:34,540
+تلاتة systems الأن متر تربيع أو centimeter تربيع
+
+236
+00:17:34,540 --> 00:17:40,440
+أو foot تربيع foot square قدم تربيع إذا الـ
+
+237
+00:17:40,440 --> 00:17:45,060
+dimension فيش لا واحد بس الـ units تلاتة حسب الـ
+
+238
+00:17:45,060 --> 00:17:51,100
+system اللي بتستخدموه الـ S I متر في متر في الـ CGS
+
+239
+00:17:51,100 --> 00:17:55,470
+الـ Gaussian centimeter في centimeter في الـ British foot
+
+240
+00:17:55,470 --> 00:17:59,150
+في foot foot square centimeter square أو meter square
+
+241
+00:17:59,150 --> 00:18:04,890
+Velocity إيش معناها؟ سرعة Velocity هي volume مش
+
+242
+00:18:04,890 --> 00:18:12,040
+شركين بالـ V Velocity معناها سرعة تمام السرعة احنا
+
+243
+00:18:12,040 --> 00:18:16,360
+بنعرف عبارة عن مسافة على زمان، مظبوط ولا لا؟ إذا
+
+244
+00:18:16,360 --> 00:18:19,520
+احنا بنستنتج من قانونها، مسافة على زمان، طب إيش الـ
+
+245
+00:18:19,520 --> 00:18:23,500
+dimension؟ جالي L على T، L على T، إذا هاي الـ
+
+246
+00:18:23,500 --> 00:18:27,900
+dimension، L على T، الـ dimension واحد جبتها من أصلها
+
+247
+00:18:27,900 --> 00:18:31,780
+الصراع عبارة عن مسافة على زمان هي معدل تغير
+
+248
+00:18:31,780 --> 00:18:35,320
+المسافة بالنسبة للزمان مش هي ده خدنا تعريفها إذا
+
+249
+00:18:35,320 --> 00:18:38,860
+هي معدل تغير مسافة بالنسبة للزمان مسافة على زمان
+
+250
+00:18:38,860 --> 00:18:44,580
+تمام إذا طب إيش الوحدات نفس الخدعة الـ SI الـ L
+
+251
+00:18:44,580 --> 00:18:50,300
+الـlength متر والـ T متر على second في الـ Gaussian
+
+252
+00:18:50,300 --> 00:18:55,620
+المسافة بنجيسها بالسنتيمتر والوقت سنتيمتر على
+
+253
+00:18:55,620 --> 00:19:00,100
+second في الـ British المسافات بنجيسها بالـ foot بالقدم
+
+254
+00:19:00,100 --> 00:19:06,800
+ف foot per second من ننطقها بالإنجليزي متر per لكل
+
+255
+00:19:06,800 --> 00:19:09,540
+second سنتيمتر per
+
+256
+00:19:14,390 --> 00:19:21,490
+meter per second أو foot per second فالـ foot
+
+257
+00:19:21,490 --> 00:19:27,130
+بنختصرها FT اختصار لكلمة foot اللي هي القدم تمام؟
+
+258
+00:19:27,130 --> 00:19:36,210
+هي كمان كمية هذه مش أساسية مش تقع Force قوة الـ
+
+259
+00:19:36,210 --> 00:19:41,590
+Force .. ذاكرين في القانون الثاني F بتساوي MA
+
+260
+00:19:41,590 --> 00:19:51,090
+صح؟ هذه إيش؟ تسارع هذه عبارة عن سرعة على زمان سرعة
+
+261
+00:19:51,090 --> 00:19:55,630
+على زمان والسرعة عبارة عن مسافة على زمان إذا L على
+
+262
+00:19:55,630 --> 00:20:01,210
+T وفي كمان T تصير L T² وهذه M صح ولا لأ؟ إذا أنا
+
+263
+00:20:01,210 --> 00:20:07,220
+الآن رجعتها للكميات الأصلية الثلاث الـ Mass أصلية
+
+264
+00:20:07,220 --> 00:20:12,720
+التسارع مش أصلية برجعها سرعة على زمن السرعة مش
+
+265
+00:20:12,720 --> 00:20:17,040
+أصلية برجعها مسافة على زمن هذا كله fundamentals
+
+266
+00:20:17,040 --> 00:20:21,780
+بيصير إذا أنا برجعها اللي بدلالة الثلاث الأصلية
+
+267
+00:20:21,780 --> 00:20:24,600
+فالـ dimension لازم نكتب بدلالة بس هدول الثلاث
+
+268
+00:20:24,600 --> 00:20:33,880
+Mass Length Time نكتبها Mass Length على T Square
+
+269
+00:20:34,660 --> 00:20:40,100
+صحيح ولا لا؟ الـ force كمية مشهورة و كتير
+
+270
+00:20:40,100 --> 00:20:43,280
+بنستخدمها جالوا بنا نطلع نقول كيلو جرام متر على second
+
+271
+00:20:43,280 --> 00:20:48,320
+تربيع و الله بتسهل نديها وحدة قالوا نيوتن غلى
+
+272
+00:20:48,320 --> 00:20:51,960
+بحاله و لخم الدنيا و الناس انكرموا بهالوحدة فعطوه
+
+273
+00:20:51,960 --> 00:20:59,120
+وحدة القوة نيوتن هي الوحدة المشهورة بالـ SI system
+
+274
+00:20:59,120 --> 00:21:05,480
+لكن بالـ Gaussian قالوا لأ داينو هناك bound بالنظام
+
+275
+00:21:05,480 --> 00:21:09,540
+البريطاني واحنا متفقين أن كل كمية هنديكم وحدتهم
+
+276
+00:21:09,540 --> 00:21:14,240
+الثلاث بس هدى أمثلة سريعة عشان احنا مقدمة إذا الـ
+
+277
+00:21:14,240 --> 00:21:20,180
+force اللي هتلاقي وحدات الـ Newton و الـ dyne و الـ
+
+278
+00:21:20,180 --> 00:21:24,550
+pound كل واحد جدّيش بالضبط موجودة واحدة في عشرة أو
+
+279
+00:21:24,550 --> 00:21:27,470
+خمسة أو مش عارف إيش وهذه الشغلات برضه احنا مش
+
+280
+00:21:27,470 --> 00:21:30,650
+معنيين كتير نحفظهم أنّه لـ Newton أكام داين فيها ولا
+
+281
+00:21:30,650 --> 00:21:35,050
+لا تضيعي أكم داين فيها مش معنيين ليش؟ لأن احنا عادة
+
+282
+00:21:35,050 --> 00:21:39,070
+هذه الشغلات بنعطيكم إياها يعني مش قضية نكتب أنّه
+
+283
+00:21:39,070 --> 00:21:41,430
+والله الـ Newton بالضبط كذا إذا محتاجين في سؤال
+
+284
+00:21:41,430 --> 00:21:44,430
+من الأسئلة زي ما اتفقنا ما يهمنيش أنا نحفظ هذه
+
+285
+00:21:44,430 --> 00:21:47,390
+الشغلات الأرقام لأن هذه أرقام مجردة ما لهاش معنى
+
+286
+00:21:47,390 --> 00:21:51,170
+كتير بس نفهم زي ما حكيت أنّه لأ لازم أحول، هذه اللي
+
+287
+00:21:51,170 --> 00:21:53,930
+لازم أفهمه، ساعتها بدور على المعلومة، ولما أدور
+
+288
+00:21:53,930 --> 00:21:57,410
+على المعلومة يا وردي مثلًا أجيبها، بيجيبها، تمام
+
+289
+00:21:57,410 --> 00:22:02,530
+Energy سمعتوا فيها، إيش هي؟ طاقة، كمية فيزيائية
+
+290
+00:22:02,530 --> 00:22:07,250
+مشهورة جدا، لما نيجي الطاقة إلها قوانين،
+
+291
+00:22:07,250 --> 00:22:13,650
+الشغل، صح؟ هذه طاقة إيش؟ طاقة الحركة، تمام؟ فعندي
+
+292
+00:22:13,650 --> 00:22:18,450
+أنا إما اللي حكيتها زميلتكم نصف MV تربيع عيد كما
+
+293
+00:22:18,450 --> 00:22:24,650
+مرّتش، حكيتها نصف كاف نصف كاف عين تربيع، هذا هي وفي F
+
+294
+00:22:24,650 --> 00:22:31,790
+في مسافة شغل، مظبوط ولا لا؟ وفي مهو MGH هي
+
+295
+00:22:31,790 --> 00:22:35,730
+نفسها، طاقة الوضع فهذه لو بدأ يطلع، هذه أصلية ولا
+
+296
+00:22:35,730 --> 00:22:40,210
+مش أصلية؟ وهذي بجيبها أصلية هي مسافة على زمان صحيح
+
+297
+00:22:40,210 --> 00:22:42,930
+على .. هذي طبعا بدي أجيبها أصلية بس هذي أصلية هذي
+
+298
+00:22:42,930 --> 00:22:46,310
+مش أصلية بجيبها فطبعا جيبت من هنا أو من هنا لازم
+
+299
+00:22:46,310 --> 00:22:49,390
+يكون نفس الـ dimension لأنها نفس الوحدات فاشتق من
+
+300
+00:22:49,390 --> 00:22:52,730
+هنا أو اشتق من هنا كله بالنسبة لي واحد فلما جت
+
+301
+00:22:52,730 --> 00:22:58,650
+ضروب الـ dimension اللي حكيتها إيش هذي mass هذي L
+
+302
+00:22:58,650 --> 00:23:04,470
+على T ربعوها فصرت L تربيع على T تربيع رجعتها للأصل
+
+303
+00:23:04,470 --> 00:23:10,780
+mass length Time تمام؟ لو جبتها من هنا نفس العملية
+
+304
+00:23:10,780 --> 00:23:16,480
+هي أصلا هذه مش Force وإنّها الـ Force شفتوها ML على
+
+305
+00:23:16,480 --> 00:23:21,580
+T تربيع ليش بتضربها كمان؟ في كمان L؟ واحد فجبتها
+
+306
+00:23:21,580 --> 00:23:26,540
+من هنا ولا جبتها من هنا نفس الشيء يمشي صحيح ولا لأ؟
+
+307
+00:23:26,540 --> 00:23:30,530
+تمام؟ إيش الوحدات تبعتها؟ قال لي والله الـ Joule و
+
+308
+00:23:30,530 --> 00:23:34,910
+الـ Erg أو في عندي عشان زي ما اتفقنا النظام الأخير
+
+309
+00:23:34,910 --> 00:23:38,330
+نظام مش مشهور فما غلّبوا حالهم يدوها وحدة قالوا
+
+310
+00:23:38,330 --> 00:23:43,250
+خليها قدم في pound يعني جابوها من هذه القانون قدم
+
+311
+00:23:43,250 --> 00:23:47,170
+في pound pound في قدم أو قدم في pound تفرديش
+
+312
+00:23:47,170 --> 00:23:50,630
+فما لهاش وحدة خاصة بها بالنظام الإنجليزي أما
+
+313
+00:23:50,630 --> 00:23:54,750
+بالنظام الثاني اللي هو الـ international system والـ
+
+314
+00:23:54,750 --> 00:23:59,250
+Gaussian system في الـ Joule وفي الـ Erg هدول وحدات
+
+315
+00:23:59,250 --> 00:24:04,250
+الطاقة إذا الـ dimensional analysis في إيش بيفيد
+
+316
+00:24:04,250 --> 00:24:06,730
+هذا الـ dimensional analysis بقول والله كتير بيفيد
+
+317
+00:24:06,730 --> 00:24:09,390
+مرات الواحد من كثر ما عنده معلومات
+
+318
+00:24:11,860 --> 00:24:14,880
+بيصير سلطة جوا المخ، بيُبطّل الواحد عارف أن هذه
+
+319
+00:24:14,880 --> 00:24:17,160
+المعادلة هي طولها فيها تربيع ولا ليس فيها تربيع، أنا
+
+320
+00:24:17,160 --> 00:24:20,780
+كيف حفظتها؟ بيقول لك إنّت لو عملت الـ check كنت صاحي و
+
+321
+00:24:20,780 --> 00:24:24,200
+عندك جلد وطول بال، إنّت عملت check، بتعرف أن
+
+322
+00:24:24,200 --> 00:24:27,700
+والله هذا القانون صح ولا مش صح، اللي إنّت كتبته،
+
+323
+00:24:27,700 --> 00:24:32,060
+مخربط فيه ولا ما مخربطش فيه، نجي نجي هالمثال، بيقول
+
+324
+00:24:32,060 --> 00:24:36,310
+show that the equation below المعادلة اللي هتشوفوها
+
+325
+00:24:36,310 --> 00:24:40,370
+تحت تمام dimensionally correct طبعا أنتم
+
+326
+00:24:40,370 --> 00:24:45,130
+بتعرفوا equation معناته معادلة صحيح؟ وكل معادلة
+
+327
+00:24:45,130 --> 00:24:48,950
+لازم كلمة يساوي موجودة ولا لا فعندي أنا طرف هنا
+
+328
+00:24:48,950 --> 00:24:55,490
+وفي عندي يساوي هنا وفي طرف آخر هان خلي أحمر عشان
+
+329
+00:24:55,490 --> 00:25:01,550
+يساوي كلمة يساوي معناته يساوي في كل شيء بينفع يكون
+
+330
+00:25:01,550 --> 00:25:05,110
+عندي هنا كيلو جرام تطلع عندي هنا meter per second
+
+331
+00:25:05,110 --> 00:25:09,770
+إذا في خطأ ولا لأ لازم يكون في خطأ بينفعش لازم
+
+332
+00:25:09,770 --> 00:25:13,450
+الـ units والـ dimension اللي هنا تساوي الـ units والـ
+
+333
+00:25:13,450 --> 00:25:17,550
+dimension اللي هنا لأنّه مستحيل أنْت تقول سرعة تساوي
+
+334
+00:25:17,550 --> 00:25:22,160
+قوة no way بينفعش أو تقول مسافة بالضبط زمان أو
+
+335
+00:25:22,160 --> 00:25:24,820
+ممكن سمعتوا مسافات بالضبط زمان؟ هل ممكن نقول
+
+336
+00:25:24,820 --> 00:25:28,020
+والله خمسة بالضبط خمسة ولا لأ؟ بس هل خمسة متر
+
+337
+00:25:28,020 --> 00:25:31,880
+بالضبط خمسة second؟ لأ، إذا لو غيّرت الوحدات،
+
+338
+00:25:31,880 --> 00:25:35,240
+بتبطل خمسة بالضبط خمسة إذا معناته لما تقول
+
+339
+00:25:35,240 --> 00:25:38,880
+معادلة وأنت شاكك إنّ هذه معادلة صح ولا لأ، تطلع الـ
+
+340
+00:25:38,880 --> 00:25:41,480
+dimensions إذا جيت الـ dimension اللي هنا غير عن الـ
+
+341
+00:25:41,480 --> 00:25:44,850
+dimension اللي هنا، قول أكيد المعادلة فيها غلط إذا
+
+342
+00:25:44,850 --> 00:25:47,890
+هذه الـ Dimensional Analysis بساعدني أعمل تشيك
+
+343
+00:25:47,890 --> 00:25:53,770
+المعادلة اللي مكتوبة صح ولا لا؟ بقول هي معادلة X
+
+344
+00:25:53,770 --> 00:26:00,090
+بتساوي V0 في T سرعة ابتدائية V0 عن سفر في T plus
+
+345
+00:26:00,090 --> 00:26:04,370
+half A T تربيع زي اد نص T زي تربيع ذاكرينوا هذا
+
+346
+00:26:04,370 --> 00:26:12,080
+القانون؟ هذه معادلة جالي أعمل تشيك X بيتساوي V0 T
+
+347
+00:26:12,080 --> 00:26:16,880
+Plus Half A T Square بدي أتأكد هل الـ dimension
+
+348
+00:26:16,880 --> 00:26:21,760
+اللي على يمين إشارة يساوي والـ dimension اللي على
+
+349
+00:26:21,760 --> 00:26:26,110
+يسار إشارة يساوي زي بعض ولا لأ كيف نعمل؟ X إيش
+
+350
+00:26:26,110 --> 00:26:31,830
+الـ dimension تبعها؟ L هذي L هنا لازم يكون في عندك
+
+351
+00:26:31,830 --> 00:26:35,710
+L وإلّا في خطأ في المعادلة إذا طلعت L حليت السؤال
+
+352
+00:26:35,710 --> 00:26:39,010
+عارفينيش مين أسويه؟ إذا أنا بدي أثبت إنّ هذي
+
+353
+00:26:39,010 --> 00:26:43,690
+المعادلة صحيحة ولا لأ بالـ dimensions نشوف كيف نعمل
+
+354
+00:26:43,690 --> 00:26:48,690
+الـ solution solution إيش معناها؟ حل تمام وفي
+
+355
+00:26:48,690 --> 00:26:52,250
+الكيمياء معناها مركب، محلول تمام
+
+356
+00:26:53,690 --> 00:26:58,930
+الـ dimension تبع X اللي هي length مظبوط ولا لأ الـ
+
+357
+00:26:58,930 --> 00:27:01,910
+dimension تبع الـ V لو عملناها احنا وإياكم length
+
+358
+00:27:01,910 --> 00:27:07,210
+على time والـ dimension تبع الـ acceleration length
+
+359
+00:27:07,210 --> 00:27:12,550
+على T² قال يلّا عوّض بنروح
+
+360
+00:27:12,550 --> 00:27:17,540
+نعوّض واحدة واحدة إيش بدي الـ X حطيت؟ بديل XL بديل
+
+361
+00:27:17,540 --> 00:27:22,880
+V0 طبعا V0 ولا V كل واحد سرعة في النهاية L على T
+
+362
+00:27:22,880 --> 00:27:27,380
+بديل T بديل acceleration L على T تربيع وهنا T
+
+363
+00:27:27,380 --> 00:27:31,100
+تربيع طيب بقدر أقول ها دي مع ها دي بواحد وها دي
+
+364
+00:27:31,100 --> 00:27:34,640
+مع ها دي طبعا L و L بيظهر L مش اتنين L لأ ده
+
+365
+00:27:34,640 --> 00:27:41,920
+dimension ف LL يعني L هي L وهنا إذن اليمين واليسار
+
+366
+00:27:41,920 --> 00:27:45,480
+الـ .. إذن هذه المعادلة صحيحة يعني لو واحد جال
+
+367
+00:27:45,480 --> 00:27:49,420
+الناس يقول هادي نسي الـ square بتظبط معه؟ بتظبطش،
+
+368
+00:27:49,420 --> 00:27:52,240
+يعني إنّت بتذكر أنّه في مشكلة عنده يعني لو هادي
+
+369
+00:27:52,240 --> 00:27:57,040
+نسيها والطلاب بينسوا هي T Square ولا T وهادي بادي
+
+370
+00:27:57,040 --> 00:28:00,920
+لأ من دون هادي بادي أعمل test على السريع بتعرف إنّها
+
+371
+00:28:00,920 --> 00:28:06,400
+لازم تكون T Square مش T ولا T cubic تكعيب إذا أنا
+
+372
+00:28:06,400 --> 00:28:11,400
+بالـ Dimensional Analysis بإمكاني أعمل test إنّ
+
+373
+00:28:11,400 --> 00:28:15,440
+المعادلة اللي مكتوبة قدامي صحيحة ولا مش صحيحة
+
+374
+00:28:15,440 --> 00:28:18,520
+فيزيائيًا تمام، هذه لسه موضوع سهل، احنا لسه ما بدنا
+
+375
+00:28:18,520 --> 00:28:22,220
+ناس بالجد تمام،
+
+376
+00:28:22,220 --> 00:28:28,750
+الآن بدنا نبدأ شوية شوية بـ subchapter أهم حاجة
+
+377
+00:28:28,750 --> 00:28:31,790
+في الشابتر مينوس و Vectors خلصنا الـ
+
+378
+00:28:31,790 --> 00:28:34,630
+Measurements الشغلات البسيطة هذه هجيت بنا نتعامل
+
+379
+00:28:34,630 --> 00:28:40,090
+مع الـ Vectors الكميات المتجهة Vectors and Scalars
+
+380
+00:28:40,090 --> 00:28:44,890
+Scalar يعني كمية قياسية Scalar رح نتكررها كتير
+
+381
+00:28:44,890 --> 00:28:51,430
+Vector و Scalar كمية متجهة و كمية قياسية بدنا نشوف
+
+382
+00:28:51,430 --> 00:28:57,880
+كيف نميز بينهم All physical quantities are either
+
+383
+00:28:57,880 --> 00:28:59,220
+vectors or scalars
+
+384
+00:29:05,730 --> 00:29:09,610
+لأ vectors يعني أين بدنا نجوح لهذه لهذه إذا مش
+
+385
+00:29:09,610 -->
+
+431
+00:32:41,640 --> 00:32:45,580
+ما بين اثنين والـ temperature، درجة الحرارة، هذه
+
+432
+00:32:45,580 --> 00:32:49,840
+كلها كميات قياسية، في غيرها، إذا اجتْنا واحدة مر
+
+433
+00:32:49,840 --> 00:32:55,000
+عليها، هنقول هذه قياسية ولا vector؟ طب إيش هي الـ
+
+434
+00:32:55,000 --> 00:32:58,720
+vector قولنا؟ إيه الكتب؟ بيقول is the physical
+
+435
+00:32:58,720 --> 00:33:04,580
+quantity that has both magnitude and direction. إذا
+
+436
+00:33:04,580 --> 00:33:08,380
+بالإضافة إلى الـ magnitude بدي إيش؟ بدي اتجاه، بدي
+
+437
+00:33:08,380 --> 00:33:13,780
+الـ direction. إذا إلها magnitude and direction any
+
+438
+00:33:13,780 --> 00:33:18,680
+physical quantity that has both magnitude مقدار و
+
+439
+00:33:18,680 --> 00:33:20,880
+direction. شوفوا كان مرة استخدمنا كلمة magnitude
+
+440
+00:33:20,880 --> 00:33:23,860
+الآن وهي اللي حفظتوها، ما في داعي نروح ونجيب
+
+441
+00:33:23,860 --> 00:33:26,840
+القمص ونشوف كده إيش معنى magnitude ونحفظ إيش
+
+442
+00:33:26,840 --> 00:33:30,340
+معنى magnitude باللغة، زي ما اتفقنا شوية شوية ولا
+
+443
+00:33:30,340 --> 00:33:35,180
+إلها أي قيمة لا تشكل بالنسبة إنا أي صعوبة.
+
+444
+00:33:35,180 --> 00:33:39,820
+magnitude, direction، اتجاه، vector، scalar، هاي
+
+445
+00:33:39,820 --> 00:33:43,620
+الكلمة اللي استخدمناها، تمام؟ vector إيش معناتها؟
+
+446
+00:33:43,620 --> 00:33:48,340
+كمية متجهة، و scalar؟ كمية قياسية. ولو خربط واحد
+
+447
+00:33:48,340 --> 00:33:51,300
+بالإملة، ما نحسب هوشياكتبوا بالـ scalar كيف ما
+
+448
+00:33:51,300 --> 00:33:56,780
+تجيبوها بالـ A بالـ Y بالـ O، مش خضية، المهم لما
+
+449
+00:33:56,780 --> 00:34:01,740
+تشوفوها بتعرفوها، يعني أهم حاجة العمل بالنيات، تمام.
+
+450
+00:34:01,740 --> 00:34:05,560
+إيش في عندنا كميات فيزيائية؟ بيقول الـ displacement
+
+451
+00:34:05,560 --> 00:34:09,080
+ه في distance وفي displacement، الـ distance مسافة،
+
+452
+00:34:09,080 --> 00:34:14,480
+displacement إزاحة. إذا في فرق ما بين الإزاحة
+
+453
+00:34:14,480 --> 00:34:19,580
+والمسافة. displacement, velocity، أكتر مرة قررناها،
+
+454
+00:34:19,580 --> 00:34:28,580
+acceleration تسارع، acceleration، force، area مساحة...
+
+455
+00:34:28,580 --> 00:34:31,640
+ممكن مرة تقول حاجة غريبة، هذه مساحة معجولة؟ يقولوا
+
+456
+00:34:31,640 --> 00:34:35,800
+أه، معجولة، المساحة طلعت vector والله، تمام؟ يعني
+
+457
+00:34:35,800 --> 00:34:39,220
+إلها اتجاه ومتعرف عليها ومشوف كيف اتجاه بيجيبوها،
+
+458
+00:34:39,220 --> 00:34:45,100
+تمام؟ إذا الـ volume is scalar، لكن المساحة vector،
+
+459
+00:34:45,100 --> 00:34:49,980
+تمام؟ اتجاهها دايمًا بيكون عمودي كما مرّت عليكم،
+
+460
+00:34:49,980 --> 00:34:54,410
+يعني هذه الطاولة مش مساحة، اتجاهها هي اللوح حيه،
+
+461
+00:34:54,410 --> 00:34:56,710
+اتجاهها... الحيط حيه اتجاهها، طبعًا ممكن هيك...
+
+462
+00:34:56,710 --> 00:34:59,890
+اتجاه المعاكس، وبعدين بنحكي في الموضوع بصورة
+
+463
+00:34:59,890 --> 00:35:05,890
+تفصيلية... إذا أنا الآن كل الكمية الفيزيائية لا
+
+464
+00:35:05,890 --> 00:35:09,770
+scalar لا vector... حلو... طب أولًا ليش بدنا نسفد؟
+
+465
+00:35:09,770 --> 00:35:12,850
+بقول بدنا نسفد كتير... scalars... خمسة وتلاتة
+
+466
+00:35:12,850 --> 00:35:18,130
+جديش؟ تمانية ولا حد بيقول كومون، انتوا Scalars خمسة
+
+467
+00:35:18,130 --> 00:35:22,210
+وتلاتة تمانية، Vectors خمسة شرق وتلاتة غرب
+
+468
+00:35:22,210 --> 00:35:26,570
+تمانية؟ قتلنا نجمع زي إيه؟ إذا في جامعة جيد طلعت مش
+
+469
+00:35:26,570 --> 00:35:29,230
+كل الجامعة اللي أخدناها في الراوضة احنا، إذا في
+
+470
+00:35:29,230 --> 00:35:33,330
+جامعة اتجاهي إيه ليه تقولوا ثاني؟ ما نفعش نقول خمسة
+
+471
+00:35:33,330 --> 00:35:37,450
+شرق وتلاتة شمال بيساوي تمانية، إذا في علم جديد
+
+472
+00:35:37,450 --> 00:35:40,470
+نتعلم كيف نتعامل مع الـ vectors، الـ scalars من أين
+
+473
+00:35:40,470 --> 00:35:43,770
+نعلمكم حاجة؟ من أين نعلمكم؟ جد ولا ضرب؟ ما بطأ كانوا
+
+474
+00:35:43,770 --> 00:35:46,270
+زمان يحاسبوكم على جدول الضرب ولا لا؟ في حد فيكم
+
+475
+00:35:46,270 --> 00:35:50,610
+حافظ عليه؟ ولا الـ calculator بتقوم بالمهمة؟ الـ
+
+476
+00:35:50,610 --> 00:35:54,050
+calculator بتقوم بالمهمة خلاص، بس غلبونا في الصف
+
+477
+00:35:54,050 --> 00:35:57,150
+الثالث ولا الصف الرابع وهم يحافظونا جدول الضرب على
+
+478
+00:35:57,150 --> 00:35:59,630
+الفاضي. إذا جيت في الأول كان في calculator، إذا جيت
+
+479
+00:35:59,630 --> 00:36:03,230
+الجوال تطلع وجايب النتيجة كمان، طيب.
+
+480
+00:36:06,650 --> 00:36:08,970
+ما هو... ما... هجيت عنده... جيل ما هو الصغير هجيت
+
+481
+00:36:08,970 --> 00:36:12,010
+عنده جوالات في الصف الأول، بس المشكلة بياخدوش على
+
+482
+00:36:12,010 --> 00:36:15,290
+المدارس، ولا كان سلام السلم يكون ولا حاجة بحفظ جد
+
+483
+00:36:15,290 --> 00:36:21,490
+ولا يضرب، يمكن يطلع الـ move، فلسهو المصطر من زمان
+
+484
+00:36:21,490 --> 00:36:25,390
+المصطرات الموجودة، بس المصطر ما فيش فيها كل شي، هجيب
+
+485
+00:36:25,390 --> 00:36:29,970
+2.3 في 4 upon 2، إذا كنت عامله تضربي ضرب عادي بالـ
+
+486
+00:36:29,970 --> 00:36:33,790
+... كنا زمان نعتمد على ذاكرتنا وجد ونضرب ونحطهم
+
+487
+00:36:33,790 --> 00:36:37,590
+جنب بعض ونضرب وزي توي... بقول الطلبة في عنكم
+
+488
+00:36:37,590 --> 00:36:41,610
+Calculator؟ ما عندهمش فضربنا 2.1 by 2... بالذاكرة
+
+489
+00:36:41,610 --> 00:36:45,710
+زمان one by one وone upon two ونجمّع ونجيبها و
+
+490
+00:36:45,710 --> 00:36:48,910
+نجيبها كنا، تمام.
+
+491
+00:36:50,070 --> 00:36:57,510
+حلو، الآن هيمر علينا force وهيمر علينا mass، الـ
+
+492
+00:36:57,510 --> 00:37:03,700
+mass scalar والـ force vector، طب هذا رمز كيف وأنا
+
+493
+00:37:03,700 --> 00:37:06,960
+من النبتاب من شكله أعرف إنه vector ولا scalar؟
+
+494
+00:37:06,960 --> 00:37:11,900
+جالوا الشحطة اللي فوق بالآخر، جالوا... زمان جالوا
+
+495
+00:37:11,900 --> 00:37:15,660
+الشحطة سهل نعملها في الآخر، صارت في الـ computers و
+
+496
+00:37:15,660 --> 00:37:18,560
+الطباعة كلها بطلت على الطبعات زمان، طب طب طب
+
+497
+00:37:18,560 --> 00:37:22,960
+يعملوها هجيت كل واحد بطبعة الكمبيوتر بعد ما اعتمدوا
+
+498
+00:37:22,960 --> 00:37:27,750
+هذا الرمز، جالوا في حياة اسمها bold بولد... إيش
+
+499
+00:37:27,750 --> 00:37:32,130
+الحرف الـ bold؟ الغامج... الغامج اللي بتحطه Ctrl P
+
+500
+00:37:32,130 --> 00:37:36,970
+بغمّج الحرف في الكمبيوتر Ctrl P بغمّج... أو في P فوق
+
+501
+00:37:36,970 --> 00:37:42,210
+تختاروه، بغمّج، قالوا إذا كل حاجة غامجة بدنا نعتمدها
+
+502
+00:37:42,210 --> 00:37:45,410
+تكون vector، عشان الطلب أول ما يطلع حد رمز غامج
+
+503
+00:37:45,410 --> 00:37:50,410
+يقولها ده بيمثل كمية إيش متجهة... تمام؟ الـ vector
+
+504
+00:37:50,410 --> 00:37:52,850
+quantity will be distinguished... هميزها...
+
+505
+00:37:52,850 --> 00:37:56,250
+distinguished from the scalar quantity by typing
+
+506
+00:37:56,250 --> 00:38:00,010
+it in boldface... هنكتبها بالبول... بالكتب... طبعًا
+
+507
+00:38:00,010 --> 00:38:03,590
+على اللوح مش هنقدر نغمّك... هنحط السهم... تمام؟ ولا
+
+508
+00:38:03,590 --> 00:38:06,130
+في الدفتر هتقدروا تغمّكوا... صعب لو حد يغمّك... بس
+
+509
+00:38:06,130 --> 00:38:09,210
+الكمبيوتر مش أثر من أن واحد يغمّك... طبعًا الحمد لله
+
+510
+00:38:09,210 --> 00:38:15,630
+هكتب غالبًا على كمبيوتر فهتلاقوا مغمجة... تمام؟ In
+
+511
+00:38:15,630 --> 00:38:18,850
+right-handing، وإحنا بنكتب بإيدنا، تمام؟ الـ
+
+512
+00:38:18,850 --> 00:38:21,750
+vector quantity is written with an arrow over the
+
+513
+00:38:21,750 --> 00:38:25,750
+symbol، هحط سهم على الـ symbol، بديل الـ ball. إذا
+
+514
+00:38:25,750 --> 00:38:29,270
+وأنا بكتب على اللوح أو بكتب على الدفتر، مضطر إن
+
+515
+00:38:29,270 --> 00:38:33,470
+عشان مش هقدر أميز هذا غامج ولا فاتح، فهقول، هذا
+
+516
+00:38:33,470 --> 00:38:40,130
+إيه؟ هحط هذا رمز، رمز السهم، ساعتها هذا يمثل كمية؟
+
+517
+00:38:40,130 --> 00:38:45,080
+vector، تمام؟ such as وهنا نكتب الكمية إيه فوق هذا
+
+518
+00:38:45,080 --> 00:38:50,460
+السهم؟ حلو، الـ vector إيش إله إيش؟ magnitude و
+
+519
+00:38:50,460 --> 00:38:54,060
+direction. بيقول الـ magnitude of the vector، هاي إيش
+
+520
+00:38:54,060 --> 00:38:58,200
+عملتها دي؟ مبينة بولد ولا مش مبينة؟ هادي بولد، بيّن
+
+521
+00:38:58,200 --> 00:39:03,780
+بالطباعة فهادي بدل هادي، هادي بالـ right handing،
+
+522
+00:39:03,780 --> 00:39:09,900
+هادي بالـ computers، فالكتب أغلبها الآن هذا مش موجود.
+
+523
+00:39:11,580 --> 00:39:15,160
+وجعب من إيديكم كتاب أصفر تتابعون زمان، هتلاقوا هذا
+
+524
+00:39:15,160 --> 00:39:19,200
+كل الرموز موجودة، بس بعد كده الكتب الجديدة ما حد
+
+525
+00:39:19,200 --> 00:39:24,660
+بيحط، تمام تمام. the magnitude وthe vector a will be
+
+526
+00:39:24,660 --> 00:39:27,840
+generated by، عشان أنا بدي أقول بدي الـ magnitude،
+
+527
+00:39:27,840 --> 00:39:31,860
+بديش الـ direction، بجيب هذا الـ vector a بحط هيك
+
+528
+00:39:31,860 --> 00:39:35,400
+ساعتين أنا بقول بس بدي الـ magnitude، مالي دعوة بالـ
+
+529
+00:39:35,400 --> 00:39:39,580
+direction، فهمتوا عليا كيف؟ معنى... لأن هو magnitude
+
+530
+00:39:39,580 --> 00:39:44,520
+و direction، فلو بدي الـ magnitude بقول hand أو إذا
+
+531
+00:39:44,520 --> 00:39:48,820
+انت بتكتب في كتاب الـ E اعمله Italic، Italic يعني
+
+532
+00:39:48,820 --> 00:39:53,600
+ميّر، Italic Ctrl I بيميّركم E على طول في الطباعة
+
+533
+00:39:53,600 --> 00:39:58,760
+or simply the Italic type A، هذه عشان كيف نميز ما
+
+534
+00:39:58,760 --> 00:40:02,940
+بين الـ vectors والـ scalar بالكتاب أو بالطباعة أو
+
+535
+00:40:02,940 --> 00:40:08,010
+بالكتابة. طيب، بيقولي طيب هندسيًا كيف بدأ أمثله أنا
+
+536
+00:40:08,010 --> 00:40:12,110
+هذا؟ الخمسة ما تتمثلش، بس الـ vector له مقدار واتجاه،
+
+537
+00:40:12,110 --> 00:40:16,770
+مقدار الخمسة غير عن السبعة، صح ولا لأ؟
+
+538
+00:40:16,770 --> 00:40:20,590
+والشرق غير عن الغرب، طب واحد لا هو شرق ولا هو غرب،
+
+539
+00:40:20,590 --> 00:40:23,990
+كيف بدأ أكتبه؟ جانبه بسيطة، الـ vector ما فيش أسهل
+
+540
+00:40:23,990 --> 00:40:29,250
+مني أنك تتعامل معاه، حط خط وفوق فيه سهم. السهم
+
+541
+00:40:29,250 --> 00:40:34,390
+بيجيه عليه إيش؟ على اتجاه الخط، طوله بتناسب مع
+
+542
+00:40:34,390 --> 00:40:39,790
+مقداره، بتناسب مع مقداره، يعني بمعنى آخر هاي خط
+
+543
+00:40:39,790 --> 00:40:47,330
+وحطيتها، ده السهم في مشكلة أقول من تجه هذا يمين؟ ولا
+
+544
+00:40:47,330 --> 00:40:51,450
+ممكن واحد يقول هذا من تجه فوق؟ ممكن يتخربطوا؟ لأ.
+
+545
+00:40:51,450 --> 00:40:56,340
+طيب، هجيت أقوم بالهدى، في حد ممكن يقولي هذا أكبر من
+
+546
+00:40:56,340 --> 00:41:00,080
+هذا؟ لأ، هذا أكبر من هذا، صح ولا لأ؟ كيف يعرفيه؟
+
+547
+00:41:00,080 --> 00:41:02,640
+بيقوله هذا طوله وأكبر من هذا الطول، إذن هذا الطول
+
+548
+00:41:02,640 --> 00:41:06,750
+بتنسل مع مين؟ مع مقداره؟ تمام؟ لو هذا ضعف هذا
+
+549
+00:41:06,750 --> 00:41:11,110
+معناته بيكون هذا طوله نص هذا، صحيح ولا لأ؟ إذا
+
+550
+00:41:11,110 --> 00:41:15,390
+معناته هندسيًا، Geometrically، the vector quantity
+
+551
+00:41:15,390 --> 00:41:19,050
+is represented by a straight line خط مستقيم is
+
+552
+00:41:19,050 --> 00:41:22,310
+represented... يمثل... represented by a straight
+
+553
+00:41:22,310 --> 00:41:26,210
+line and... and a row at one end of the line.
+
+554
+00:41:26,210 --> 00:41:30,930
+الـRow معناتها سهم، على end معناتها هنا طرف أحد
+
+555
+00:41:30,930 --> 00:41:37,820
+نهايات الخط، هذا هو هي خط مستقيم، في حد بيشكك في
+
+556
+00:41:37,820 --> 00:41:42,160
+الاتجاه هذا، إذا معناته هادي، الرمز بيديكي دلالة
+
+557
+00:41:42,160 --> 00:41:45,920
+كاملة فيه عليه ولا لا، الطول اللي أنا حاسس فيه،
+
+558
+00:41:45,920 --> 00:41:51,320
+والسهم يقولي وين الاتجاه، حلو، هذا الطرف بيسموه
+
+559
+00:41:51,320 --> 00:41:56,440
+ديل، والـ tail of the vector والتاني رأسه head of
+
+560
+00:41:56,440 --> 00:42:01,180
+the vector، إذا الـ vector صار له رأس وله ديل، رأسه
+
+561
+00:42:01,180 --> 00:42:06,640
+بوجه على اتجاهه وديله ديله، تمام؟ اللي مش رأسه
+
+562
+00:42:06,640 --> 00:42:11,560
+بكون ديله، تمام، حلو؟ آخر حاجة ممكن نعملها equality
+
+563
+00:42:11,560 --> 00:42:17,040
+of two vectors، نرجع لكلمة يساوي، اتفقنا كلمة يساوي
+
+564
+00:42:17,040 --> 00:42:20,720
+بتعني مساوية في إيش؟ في كل شيء، في كل إشي ندى للـ
+
+565
+00:42:20,720 --> 00:42:27,500
+vectors، الـ vector إله مقداره إيش؟ واتجاهة، إذن عشان
+
+566
+00:42:27,500 --> 00:42:30,760
+تُكتب يساوي لازم التنين يكونوا متساويين مقدارًا
+
+567
+00:42:30,760 --> 00:42:37,400
+واتجاهة، يعني واحد خمسة شرقًا وواحد خمسة جنوبًا بسوء؟
+
+568
+00:42:37,400 --> 00:42:41,500
+لأ، ممكنش، مع أنهم متساوين مقدر يعرف هذا خمسة وهذا
+
+569
+00:42:41,500 --> 00:42:47,080
+خمسة، فبقول لي any two vectors أي two vectors are
+
+570
+00:42:47,080 --> 00:42:51,140
+said to be equal، ممكن تقول عنهم متساويين شرط if
+
+571
+00:42:51,140 --> 00:42:54,500
+they have the same magnitude، هذه أول شرط إنهم نفس
+
+572
+00:42:54,500 --> 00:42:57,600
+المقدار and point in the same direction، ومتجهين في
+
+573
+00:42:57,600 --> 00:43:02,090
+نفس الاتجاه، يجب أن يكون لديه نفس المجموعة ونفس
+
+574
+00:43:02,090 --> 00:43:06,510
+الاتصال، مجموعة واتصال لازم يتساوى regardless of
+
+575
+00:43:06,510 --> 00:43:09,830
+their location، بغض النظر وين موجوعين، يعني مش بالضرورة
+
+576
+00:43:09,830 --> 00:43:13,410
+أكون ملازجين بعض التلزيق لأ، واحد هنا والتاني في
+
+577
+00:43:13,410 --> 00:43:17,090
+شهنم بس نفس الطول ونفس الاتجاه بقول متساوى بعد
+
+578
+00:43:17,090 --> 00:43:24,490
+تمام؟ هاي إيه؟ شايفينه؟ vector هاي وbolt هاي وظل
+
+579
+00:43:24,490 --> 00:43:28,510
+وماشي اتغير إيش فيه؟ ما اتغير إيش إيش فيه، لا طوله
+
+580
+00:43:28,510 --> 00:43:32,090
+اتغير ولا اتجاهه اتغير، هجيت للمكان هناك والنصار
+
+581
+00:43:32,090 --> 00:43:35,210
+هناك، اتغير إشي؟ إذا الـVector الأولاني
+
+582
+00:43:35,210 --> 00:43:39,570
+والـVector هذا متساويين، إذا هو ما زال حافظ على
+
+583
+00:43:39,570 --> 00:43:44,090
+مقداره وعلى اتجاهه، بغض النظر عن موضعه، بيظل هم
+
+584
+00:43:44,090 --> 00:43:51,540
+متساويين، دخلت المعلومة؟ تمام؟ ها Vector وهذه الـ
+
+585
+00:43:51,540 --> 00:43:55,480
+vectors، نجيز نجيز بالمصطرة، نجيز تضع المصطرة الطول
+
+586
+00:43:55,480 --> 00:43:58,140
+نبين الناس الاتجاه ولا لا؟ إذا ساعتها بقوله
+
+587
+00:43:58,140 --> 00:44:02,180
+متساويين، هذه الموضوع مختلفة، A وB ليسوا ملازقين
+
+588
+00:44:02,180 --> 00:44:07,960
+بعض، بقدر أقول A بتساوي B لأنه بالمصطرة بالظبط نفس
+
+589
+00:44:07,960 --> 00:44:16,620
+المقدار، ومن لم يصدق يجيز، تمام؟ هذه إيه؟ حلو، بقدر
+
+590
+00:44:16,620 --> 00:44:20,940
+أقول بيساوي بعض؟ مبين A أكبر ولا لا؟ إذا بقدرش، مع
+
+591
+00:44:20,940 --> 00:44:24,620
+أنه نفس الاتجاه، دير بالكم، نفس الاتجاه، لكن لا
+
+592
+00:44:24,620 --> 00:44:30,100
+يتساوي، لأن المقدر مش متساوي، فبقول A أكبر من C، A
+
+593
+00:44:30,100 --> 00:44:37,380
+أكبر من C، مبينة، بدا شطارة؟ مبينة، هاي إيه؟ إيش
+
+594
+00:44:37,380 --> 00:44:42,920
+هدول؟ والله نفس الطول، نفس الطول، لكن بيساوي؟ لأ،
+
+595
+00:44:42,920 --> 00:44:46,390
+هدول عكس بعض، بقول A بيساوي سالب P عشان عكس بعيد،
+
+596
+00:44:46,390 --> 00:44:52,890
+فشرط السلب لما تدخل على الـ vector بتحكي عكس، فهيهم
+
+597
+00:44:52,890 --> 00:44:55,610
+دول نفس الطول لكن بيساويوش بعيد، واحد بيساوي السلب
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/mk4mK9scIcs_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/mk4mK9scIcs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d969c5ecb45946865b16c163ec886c459a7ba97a
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/mk4mK9scIcs_raw.srt
@@ -0,0 +1,2404 @@
+1
+00:00:20,770 --> 00:00:23,490
+نقول بسم الله الرحمن الرحيم اليوم ان شاء الله
+
+2
+00:00:23,490 --> 00:00:28,450
+هنبدأ أول محاضرة في ال course زي ما احنا اتفقنا
+
+3
+00:00:28,450 --> 00:00:32,730
+انه في عنا حوالي 12 chapter ال chapter الأول
+
+4
+00:00:32,730 --> 00:00:37,330
+عنوانه measurements and vectors او القياسات
+
+5
+00:00:37,330 --> 00:00:43,850
+والكميات المتجهة لأن كلمة vectors تتكرر عنا كتير ف
+
+6
+00:00:43,850 --> 00:00:47,850
+vector كمية متجهة و scalar اللي عندنا هنتعرف عليها
+
+7
+00:00:47,850 --> 00:00:50,570
+هي الكمية القياسية
+
+8
+00:00:51,940 --> 00:00:55,740
+بعرفش كدرتوا تفوتوا على الموقع و تجيبوا هذا موجود
+
+9
+00:00:55,740 --> 00:01:00,120
+عندى في الموقع ولا لا الوراق؟ماقدرتش أسحبه على كل
+
+10
+00:01:00,120 --> 00:01:04,780
+حوال ما هو نفس الكتاب بس بصورة مبسطة أكتر الموضوع
+
+11
+00:01:04,780 --> 00:01:09,320
+الأول اللي هنشرحه هو ال units and standards ال
+
+12
+00:01:09,320 --> 00:01:12,820
+units اللي هي الوحدات تمام؟ وال standards اللي هي
+
+13
+00:01:12,820 --> 00:01:17,100
+المعايير اللي بنحكي عنها احنا اتفقنا احنا وياكم
+
+14
+00:01:17,100 --> 00:01:22,980
+انه الكميات الفيزيائية بتتميز عن الكميات الرياضية
+
+15
+00:01:22,980 --> 00:01:29,170
+ان الكمية الرياضية هي كمية مجردةبنحكي X equals 5
+
+16
+00:01:29,170 --> 00:01:35,410
+أو X equals 3 أو X equals minus 5 بدون ما نقول ايش
+
+17
+00:01:35,410 --> 00:01:40,030
+اللي بعد ال 5 ايش اللي بعد ال 3 لكن في الفيزيا هذا
+
+18
+00:01:40,030 --> 00:01:45,390
+الكلام مابصرش لأن ال X أو ال Y بتعني كمية حقيقية
+
+19
+00:01:45,390 --> 00:01:49,990
+معروفة وبالتالي كون الكمية معروفة لابد ان انا
+
+20
+00:01:49,990 --> 00:01:55,670
+اميزها بوحدة معينةهذه الوحدة بنا نتفق كيف نتعامل
+
+21
+00:01:55,670 --> 00:01:59,850
+معاها إذا any physical quantity أي كمية فيزيائية
+
+22
+00:01:59,850 --> 00:02:05,340
+must havebesides its numerical value الكمية
+
+23
+00:02:05,340 --> 00:02:09,660
+الرقمية زي خمسة و تلاتة و اتنين هذي هي numerical
+
+24
+00:02:09,660 --> 00:02:13,700
+values أرقام مجردة الكمية الفيزيائية بكفيش نكتب
+
+25
+00:02:13,700 --> 00:02:17,040
+خمسة و اتنين و تلاتة و عشرة و مية و متين لازم نحط
+
+26
+00:02:17,040 --> 00:02:21,920
+بجنبها besides its numerical value a standard unit
+
+27
+00:02:21,920 --> 00:02:26,960
+unit متعرف عليها عند الجميع الكل بعرفها تمام كيف
+
+28
+00:02:26,960 --> 00:02:31,160
+هدول ال units احنا نتعامل معاهم بنقول فيزي ألف
+
+29
+00:02:31,940 --> 00:02:36,780
+مختصة بعلم الميكانيكا في الفيزيا علم الميكانيكا كل
+
+30
+00:02:36,780 --> 00:02:40,380
+ما يتعلق بالميكانيكا طبعا الكميات اللي بتحكم
+
+31
+00:02:40,380 --> 00:02:44,780
+الميكانيكا كميات فزائية معروفة زي الإزاحة زي
+
+32
+00:02:44,780 --> 00:02:50,340
+الصراع زي التسارع زي القوة ال energy أو الطاقة كل
+
+33
+00:02:50,340 --> 00:02:53,540
+الكميات اللي مرت عليكم هذه الكميات لها علاقة
+
+34
+00:02:53,540 --> 00:02:58,840
+بالميكانيكا بصورة عامة هذه الكميات كلها مشتقة من
+
+35
+00:02:58,840 --> 00:03:03,960
+كميات أساسية تلاتةفي عيندي إذا الـ mechanics all
+
+36
+00:03:03,960 --> 00:03:08,260
+quantities are derived to stock from .. احنا
+
+37
+00:03:08,260 --> 00:03:11,480
+متفقين اللغة فدتكم منها جيت بس احنا بداية بنحاول
+
+38
+00:03:11,480 --> 00:03:14,780
+نترجم from the three fundamental quantities اللي
+
+39
+00:03:14,780 --> 00:03:21,180
+هم ال mass الكتلة ال length الطول و ال time و بعد
+
+40
+00:03:21,180 --> 00:03:25,960
+كده كل الكميات الأخرى نشتقهم منها تمام؟ زي مثلا
+
+41
+00:03:25,960 --> 00:03:31,600
+نقول سرعة إيش مننا الذاكر وحدتها؟متر لكل إذا
+
+42
+00:03:31,600 --> 00:03:36,180
+معناته length على time length على time لجنجول
+
+43
+00:03:36,180 --> 00:03:40,360
+القوة القوة ما هي كتلة في تسارع إذا هي كتلة
+
+44
+00:03:40,360 --> 00:03:44,280
+والتسارع عبارة عن length على زمن تربيع فكل الكميات
+
+45
+00:03:44,280 --> 00:03:47,520
+اللي ممكن تيجي على بالكم بنشتقهم من هدول التلاتة
+
+46
+00:03:47,520 --> 00:03:51,400
+فقط تمام؟ إذا قالوا خلينا نركز على هدول التلاتة
+
+47
+00:03:51,400 --> 00:03:57,810
+ونعمل التالي تمام؟كان نظام وحدات يقول في عندي تلت
+
+48
+00:03:57,810 --> 00:04:03,090
+أنظمة للوحدات متعرف عليها عالميا هي المتواجدة
+
+49
+00:04:03,090 --> 00:04:11,070
+ومكررة وتستخدم بصورة كبيرة أول واحد هو الأشهر
+
+50
+00:04:11,070 --> 00:04:14,670
+international system عشان كده يسموه عالمي الدولي
+
+51
+00:04:14,670 --> 00:04:20,530
+هذا هو الأشهر وهذا ال system الدولي العلمي كل
+
+52
+00:04:20,530 --> 00:04:25,090
+الأمور العلمية بيستخدموا هذا ال systemطبعاً بيسموه
+
+53
+00:04:25,090 --> 00:04:28,930
+الـ SI من system international الكلمة الفرنسية
+
+54
+00:04:28,930 --> 00:04:32,570
+الأصلية تبعته فإيه جاية SI international system
+
+55
+00:04:32,570 --> 00:04:37,010
+الكلمة الإنجليزية تبعته؟ فيه إله اسم آخر جاية من
+
+56
+00:04:37,010 --> 00:04:40,210
+وين انتوا طالعوش يقولون احنا mass و length و time
+
+57
+00:04:43,790 --> 00:04:48,730
+معنى الـ mass كيلو جرام ال length متر وال time
+
+58
+00:04:48,730 --> 00:04:52,970
+second فهي جاية من إيش بتستخدم محداتك انت لهدول
+
+59
+00:04:52,970 --> 00:04:59,030
+التلاتة فمتر كيلو جرام second هذا اسم وهذا اسم
+
+60
+00:04:59,030 --> 00:05:03,810
+الرسمي تبعه في كمان system بيسموه ال Gaussian
+
+61
+00:05:03,810 --> 00:05:08,050
+system طبعا Gaussian اسم عالم هذا النظام سموه لأن
+
+62
+00:05:08,050 --> 00:05:11,370
+هو أكتر واحد يستخدمه سموه ال Gaussian system أو
+
+63
+00:05:11,370 --> 00:05:12,930
+centimeter
+
+64
+00:05:15,530 --> 00:05:20,390
+الجرام سكنت، ضلت زي ما هي، هذا النظام التاني، هذا
+
+65
+00:05:20,390 --> 00:05:25,030
+الأشهر، هذا الأقل شهرة، في واحد مزعج، لكن موجود
+
+66
+00:05:25,030 --> 00:05:27,710
+وانتعمل معاه، اللي هو الـ British Engineering
+
+67
+00:05:27,710 --> 00:05:34,090
+System اللي هو باستخدام القدم والميلوالـ Bound
+
+68
+00:05:34,090 --> 00:05:37,910
+والشغلات هذه طبعا ليش ينزعج و بحبوش حد يتعامل معه
+
+69
+00:05:37,910 --> 00:05:40,870
+خصوصا في الأمور العلمية عشان عنده التحول بيغلب
+
+70
+00:05:40,870 --> 00:05:45,530
+احنا بنعرف المتر فيه ميت صنطي مظبوط ولا لأ؟ و
+
+71
+00:05:45,530 --> 00:05:48,350
+الكيلو جرام فيه ألف جرام لكن إما نحكي عن ال meal
+
+72
+00:05:48,350 --> 00:05:51,690
+أكم قدم بتلاقوه مش أصفار وبالتالي في التحول بيدوه
+
+73
+00:05:51,690 --> 00:05:54,690
+Calculatorأما هؤلاء يريدون أن يتحولوا لـ Game
+
+74
+00:05:54,690 --> 00:05:59,230
+فاصلات و يدفعوا فاصلات أسهل في التعامل فهذا أقل
+
+75
+00:05:59,230 --> 00:06:04,370
+الشهرة طبعا هذا منتشر حتى الآن في المسافات في
+
+76
+00:06:04,370 --> 00:06:08,630
+أمريكا و بريطانيا كثير بتستخدم هذا مازالوا لكن في
+
+77
+00:06:08,630 --> 00:06:12,890
+الأمور العلمية بيحاولوا هذا يتجنبوا اتفقوا عليها
+
+78
+00:06:14,940 --> 00:06:18,700
+نشوف كل الـ System، إيش الوحدات تبعته؟ إحنا متفقين
+
+79
+00:06:18,700 --> 00:06:21,740
+إيش الوحدات الأصلية؟ دول، مش غيرهم، والباقي كله
+
+80
+00:06:21,740 --> 00:06:26,840
+مشتق منه، تمام؟ Length، Mass وTime الـ System
+
+81
+00:06:26,840 --> 00:06:30,200
+الأول اللي هو الـ International System وإحنا في
+
+82
+00:06:30,200 --> 00:06:35,220
+غتابنا غالبا أكتر من 95% من مسائلنا هتكون في هذا
+
+83
+00:06:35,220 --> 00:06:38,430
+الـ Systemأذا هذا هو الأشهر وهذا هو الأكتر
+
+84
+00:06:38,430 --> 00:06:42,330
+استخداما وهذا اللي هنركز عليه أكتر حاجة لكن هذا لا
+
+85
+00:06:42,330 --> 00:06:45,690
+يمنع أن هذا و هذا ممكن يمر علينا ونعرف كيف نتعامل
+
+86
+00:06:45,690 --> 00:06:50,570
+معاهم إذا ال length بهذا ال system بنجيسه بإيش؟
+
+87
+00:06:50,570 --> 00:06:53,950
+بال meter و ال meter كلكم بتعرفه اللي هو فيه مية
+
+88
+00:06:53,950 --> 00:06:58,090
+صنطي و ال kilometer فيه الف متر و هذه كلها الشغلات
+
+89
+00:06:58,090 --> 00:07:02,650
+المعروفة ال mass بنجيسها بال kilogramsاختصارها
+
+90
+00:07:02,650 --> 00:07:09,990
+كيلو جرام كيلو جرام كيلو جرام كيلو جرام كيلو جرام
+
+91
+00:07:09,990 --> 00:07:13,430
+كيلو جرام كيلو جرام كيلو جرام كيلو جرامفي حد ممكن
+
+92
+00:07:13,430 --> 00:07:18,290
+يخرب أن تقول هذه كتلة ولا زمان؟ لأ، خلاص، أنا كتبت
+
+93
+00:07:18,290 --> 00:07:21,450
+كيلو جرام يعني عرفت إنها كتلة، إذا صارت الوحدة
+
+94
+00:07:21,450 --> 00:07:26,010
+بتعطي معنى كبير للمقدار، بالصينيين تفهم عايش بتحكي
+
+95
+00:07:26,010 --> 00:07:29,450
+أنها بتحكي عن كمية تزاية معروفة غير لما نقول
+
+96
+00:07:29,450 --> 00:07:33,510
+تلاتة، تلاتة hours ولا seconds ولا kilograms ولا
+
+97
+00:07:33,510 --> 00:07:37,190
+meters ولا meals، مائة ألف احتمال، لكن أنا لما أحط
+
+98
+00:07:37,190 --> 00:07:41,570
+والله هذه عبارة عن متر، خلاص، مافيش الاحتمال واحد،
+
+99
+00:07:41,990 --> 00:07:45,970
+صحيح ولا لأ؟ إذن الوحدة كتير مهمة أن نحطها جانب
+
+100
+00:07:45,970 --> 00:07:54,570
+الرقم بيعطينا تعريف كامل للكمية الفيزيائية الزمن
+
+101
+00:07:54,570 --> 00:07:58,310
+يقاس بال seconds في النظام العالمي اللي هم
+
+102
+00:07:58,310 --> 00:08:01,530
+الثواني، مظبط ولا لأ؟ وكل ما نعرف الدقيقة كم ثانية
+
+103
+00:08:01,530 --> 00:08:06,050
+و الساعة كم دقيقة أو كم ثانية، كله بنجيبهالـ
+
+104
+00:08:06,050 --> 00:08:09,890
+Gaussian System بيستخدم الـ centimeter للـ .. للـ
+
+105
+00:08:09,890 --> 00:08:13,890
+length مش ال meter ال centimeter تمام؟ و بيستخدم
+
+106
+00:08:13,890 --> 00:08:19,510
+للماس ال gram ال gram اللي رمزها يجيه أما الزمن
+
+107
+00:08:19,510 --> 00:08:23,770
+هتلاقوا الزمن هذا بيبقى زي ما هو ماتغيرش ال
+
+108
+00:08:23,770 --> 00:08:30,070
+secondsتمام هيك؟ عشان كده سميته MKS
+
+109
+00:08:30,070 --> 00:08:35,610
+System وهذا سميته CGS System طبعا هذا بيستخدموه
+
+110
+00:08:35,610 --> 00:08:39,590
+غالبا في الأمور الكهربية أكتر لأنه بتسهل عليهم في
+
+111
+00:08:39,590 --> 00:08:42,730
+بعض الأمور أما في ال mechanics هذا أشهر زي ما
+
+112
+00:08:42,730 --> 00:08:47,530
+اتفقنا النظام الأقل شهره النظام البريطاني بيستخدم
+
+113
+00:08:47,530 --> 00:08:54,050
+القدم للمسافات القدم والياردة والميل تمام؟ والإنش
+
+114
+00:08:54,750 --> 00:09:00,350
+سمعتوا فيهم تمام أما الأساسية هي الـ foot القدم و
+
+115
+00:09:00,350 --> 00:09:04,050
+باستخدام وحدة بيسموها ال slug أو بيسموها الرطل
+
+116
+00:09:04,050 --> 00:09:07,790
+الإنجليزي مرات بالعربي أما هي slug خلاص لو طلعتوا
+
+117
+00:09:07,790 --> 00:09:10,250
+عينتوا على القموس إيش معناته slug بيقولوا وحدة
+
+118
+00:09:10,250 --> 00:09:13,390
+الكتلة في النظام البريطاني هي معناتها يعني مالهاش
+
+119
+00:09:13,390 --> 00:09:19,070
+اسم نقول والله إيش معناته خلاص هي slug وحدة الكتلة
+
+120
+00:09:19,070 --> 00:09:25,100
+في النظام البريطاني مش اشي جديدالسكن اتغيرت؟ ما
+
+121
+00:09:25,100 --> 00:09:32,140
+اتغيرتش، اذا هذه هي الأنظمة تبعتنا، هذا هنزهج و
+
+122
+00:09:32,140 --> 00:09:37,780
+نستخدمه، بعد كده هتمر علينا بس هذه الكميات؟ لأ
+
+123
+00:09:37,780 --> 00:09:43,880
+طبعا، هناخد كميات كتيرة، كل كمية جديدة هتمر علينا،
+
+124
+00:09:43,880 --> 00:09:48,500
+هنقول إيش وحدتها بالأنظمة التلاتةوإحنا ماشيين في
+
+125
+00:09:48,500 --> 00:09:52,520
+طول ال course إذا إلها وحدة خاصة بيها زي نقول
+
+126
+00:09:52,520 --> 00:09:56,320
+الطاقة إلها وحدة خاصة بيها ولا لأ؟ اللي هي الـU
+
+127
+00:09:56,320 --> 00:10:00,300
+بنحكي إن هذه وحدتها هيك في النظام هذا هيك وفي
+
+128
+00:10:00,300 --> 00:10:04,380
+النظام هذا هيك فكل ما إحنا ماشيين و بنجيبها أصلها
+
+129
+00:10:04,380 --> 00:10:07,780
+الشوة كيف يعني لما نجيب أصلها؟ يعني بدلالتها دول
+
+130
+00:10:07,780 --> 00:10:12,860
+التلاتة فكل كمية هنجيب وحدتها إذا إلها وحدة مشهورة
+
+131
+00:10:13,790 --> 00:10:19,570
+و هنجيب إيش بتساوي من أصل المشطقة تبع الـ 3 كميات
+
+132
+00:10:19,570 --> 00:10:22,550
+اللي هم الـ Mass و الـ Length و الـ Time تمام
+
+133
+00:10:22,550 --> 00:10:30,430
+عرفنا إن في عندي أنا تلاتة systems طيب مرات فيه
+
+134
+00:10:30,430 --> 00:10:35,190
+أنا عندي مسائل و بدي أجمعهاو أضرب .. لما أجيب مثل
+
+135
+00:10:35,190 --> 00:10:39,910
+و بدي أحل .. بدي أجمع .. نفترض يداني مسافة .. جالي
+
+136
+00:10:39,910 --> 00:10:43,070
+خمسة كيلومتر .. طب أمين .. خمسة كيلومتر .. ممكن
+
+137
+00:10:43,070 --> 00:10:47,610
+نجيبها .. خمسة كيلومتر .. ها .. بنقول ها دي نفترض
+
+138
+00:10:47,610 --> 00:10:51,430
+مسافة واحد .. المسافة التانية دي اتنين بيساوي ..
+
+139
+00:10:51,430 --> 00:10:56,390
+نقول عشرين متر .. و جالي راح أجمع .. بنفع أقول دي
+
+140
+00:10:56,390 --> 00:11:00,730
+واحد زي اتنين بيساوي خمسة عشرين؟ .. بنفعش .. إذا
+
+141
+00:11:00,730 --> 00:11:04,570
+إيش أسوي؟ .. جالي لازم أنت تختار system ..واحد
+
+142
+00:11:04,570 --> 00:11:10,050
+لمسألتك وكل الكميات ترجحها لهذا الـ system بينفعش
+
+143
+00:11:10,050 --> 00:11:14,120
+تكون عندك في نفس المسألةالمسافة الأولى بـ system
+
+144
+00:11:14,120 --> 00:11:17,840
+والكتلة التانية في system آخر لأ بيبقى توحد ال
+
+145
+00:11:17,840 --> 00:11:22,680
+system ويتحول والتحويل سهل يعني مافيش داعي أنه كنت
+
+146
+00:11:22,680 --> 00:11:25,920
+تقول والله كم ده انا احفظ المتر اكم كيلومتر و اكم
+
+147
+00:11:25,920 --> 00:11:29,100
+سنتمتر حتى لو مش عارفينها مش قضية هذه موجودة ما هي
+
+148
+00:11:29,100 --> 00:11:33,440
+جداول في كل الكتب وموجودة على ال net لو حطيته
+
+149
+00:11:33,440 --> 00:11:36,260
+بيجيبلكم إياها يعني مافيش داعي لو حد يحفظها وزي ما
+
+150
+00:11:36,260 --> 00:11:39,840
+احنا متفقين هنا في شغلات معينة لو الطالب قالالـ
+
+151
+00:11:39,840 --> 00:11:41,980
+kilometer نسيته أكم متر بقوله ألف متر يعني،
+
+152
+00:11:41,980 --> 00:11:46,060
+بتفرجش، مش ضروري الواحد يحفظها، بس المهم يكون عارف
+
+153
+00:11:46,060 --> 00:11:49,340
+إنه لازم يحول، إذا عارف إنه بدي يحول و نسي
+
+154
+00:11:49,340 --> 00:11:53,560
+المعلومة، بكفي إنه يعرف إنه لازم أحول، هذي المهم،
+
+155
+00:11:53,560 --> 00:11:56,460
+مش روح يجمعلي يقولي والله دي واحد زي اتنين سوى خمس
+
+156
+00:11:56,460 --> 00:11:58,840
+وعشرين، ونقول ليش اعمل ال take؟ والله ماكنتش أعرف
+
+157
+00:11:58,840 --> 00:12:02,540
+إن كيلومتر كم متر، لا هذه مش حجة، لازم تعرف إنه
+
+158
+00:12:02,540 --> 00:12:06,020
+ممكنش نجمع خمس خيارات و تلت أفحات بسوء تمانية،
+
+159
+00:12:06,020 --> 00:12:12,330
+تمانية إيش؟خيارات ولا طفوحات؟ بنفعش، تمام؟ إذا نحن
+
+160
+00:12:12,330 --> 00:12:15,970
+لازم نعرف إنه بنفعش إلا إن نحوّل و نختار system
+
+161
+00:12:15,970 --> 00:12:19,710
+واحد if different unit systems إذا عندك أكتر من
+
+162
+00:12:19,710 --> 00:12:23,730
+نظام وحدات are used in a physical equation أي
+
+163
+00:12:23,730 --> 00:12:27,070
+معادلة فيزيائية و المعادلة الفيزيائية كتيرة و زي
+
+164
+00:12:27,070 --> 00:12:29,870
+ما اتفقنا المعادلة اللي جامعة بحب أكتبها هنا V
+
+165
+00:12:29,870 --> 00:12:33,810
+بتساوي V0 زائد AT هذه بتشبهها بنات عين بتساوي عين
+
+166
+00:12:33,810 --> 00:12:39,380
+سافر زائد .. إش تفنون؟تافي زين احنا ايام ما كان
+
+167
+00:12:39,380 --> 00:12:43,440
+الزمن موجود بالرمز نون ايه اتغيرت ايه زمانكم صار
+
+168
+00:12:43,440 --> 00:12:47,780
+نون زين احنا ايام نون تمام المهم هي معادلة هي
+
+169
+00:12:47,780 --> 00:12:52,440
+معادلة فسيئيةبدي أعوض عنها هذه V وهذه V0 وهذه سرعة
+
+170
+00:12:52,440 --> 00:12:55,760
+ابتدائية وهذه acceleration وهذه قاعدة تمام؟ ما
+
+171
+00:12:55,760 --> 00:12:58,040
+يمكن أن تكون هذه بالـ SI system وهذه بال
+
+172
+00:12:58,040 --> 00:13:01,600
+engineering system وهذه بال CGS system لا يمكن،
+
+173
+00:13:01,600 --> 00:13:05,300
+يجب أن نوحدها عشان أعرف لما أجمع هنا بدي أضرب وهنا
+
+174
+00:13:05,300 --> 00:13:09,820
+بدي أجمع ففي عندى أكتر من عملية حسابية لازم هذه
+
+175
+00:13:09,820 --> 00:13:14,160
+العملية الحسابية تجري في quantities كلها تبعي لنفس
+
+176
+00:13:14,160 --> 00:13:19,900
+ال unit system تمام؟إذاً، يجب أن تختار واحد من
+
+177
+00:13:19,900 --> 00:13:23,100
+الأسلوب وانت حر انت اختار اللي برايحة طبعا واحد
+
+178
+00:13:23,100 --> 00:13:26,160
+بتطلع ايش أغلبهم في اي system من واحد، صحيح ولا
+
+179
+00:13:26,160 --> 00:13:29,520
+لأ؟ لكن انت حر انت ولا واحد يقولك أنا الـCGI
+
+180
+00:13:29,520 --> 00:13:33,100
+system هو اللي بحبه خلّي، حول كله إليه، ماتفرجش،
+
+181
+00:13:33,100 --> 00:13:36,860
+تمام؟ and the quantities with the other unit
+
+182
+00:13:36,860 --> 00:13:39,960
+systems انت اخترت واحد، الباقين بتحولوا لهذا ال
+
+183
+00:13:39,960 --> 00:13:44,520
+system must be converted convert يحولconverted to
+
+184
+00:13:44,520 --> 00:13:49,700
+the chosen system الـ system اللي اخترته تم اذا
+
+185
+00:13:49,700 --> 00:13:55,440
+المتفقين الان كل كمية فيزيائية لها وحدة عندي تلت
+
+186
+00:13:55,440 --> 00:13:59,360
+أنظمة من الوحدات كل الناس بيعرفوها وبالتالي مش كل
+
+187
+00:13:59,360 --> 00:14:02,940
+واحد له نظام خاص في الوحدات لأ مش غير تلتة هم اللي
+
+188
+00:14:02,940 --> 00:14:08,890
+موجودينتما شغل أخرى قريبة كثير من ال units بيسموها
+
+189
+00:14:08,890 --> 00:14:12,450
+ال dimension analysis أو ال dimension تبع الكمية
+
+190
+00:14:12,450 --> 00:14:17,670
+البعد تبع الكمية بعدها هذه برضه الكميات الفيزيائية
+
+191
+00:14:17,670 --> 00:14:22,410
+قالوا بدنا نتفق على كيف نتعامل معاها كأبعاد قالوا
+
+192
+00:14:22,410 --> 00:14:26,290
+رجعوا للكميات الأساسية تبعتك الشيية length, mass,
+
+193
+00:14:26,470 --> 00:14:32,530
+time هدول التلاتة كل واحد يدو رمزتمام؟ الـ Mass دو
+
+194
+00:14:32,530 --> 00:14:39,310
+رمز M من الـ Mass الـ Length L و الـ Time T فصار
+
+195
+00:14:39,310 --> 00:14:43,870
+كل كلمة كمية إلها Dimension أي كمية زمن بيقول الـ
+
+196
+00:14:43,870 --> 00:14:49,490
+Dimension تبعها T أي كمية Length طول أو بعود الـ
+
+197
+00:14:49,490 --> 00:14:53,410
+Dimension تبعها L أي كمية Mass الـ Dimension تبعها
+
+198
+00:14:53,410 --> 00:14:57,190
+Mفبقول لي dimension in physics give the physical
+
+199
+00:14:57,190 --> 00:14:59,830
+nature of the quantity هو اللي بديكي أقولك إيش هي
+
+200
+00:14:59,830 --> 00:15:04,730
+هذه M معناته كتلة L معناته length T معناته زمان
+
+201
+00:15:04,730 --> 00:15:08,270
+إذا هو بديكي المعنى زي ال unit زي ال unit بس هذه
+
+202
+00:15:08,270 --> 00:15:12,350
+شغلقة عامة بغض النظر أي system تستخدم الآن في عندي
+
+203
+00:15:12,350 --> 00:15:16,210
+M وL وT بغض النظر أي system من التلاتة اللي حكينا
+
+204
+00:15:16,210 --> 00:15:20,290
+عنهاقلص ال dimension تمعي ال length L بأي unit
+
+205
+00:15:20,290 --> 00:15:23,850
+system مش بغض النظر هذي كلمة بدأي دا كتب أنا متر
+
+206
+00:15:23,850 --> 00:15:28,370
+ولا سنتمتر ولا قدم ساعتها بدور على أي system أنا
+
+207
+00:15:28,370 --> 00:15:31,630
+بنحكي الجهة بسرعة عامة dimension بغض النظر عن ال
+
+208
+00:15:31,630 --> 00:15:37,600
+unit system تمام whether it is lengthmass or time
+
+209
+00:15:37,600 --> 00:15:41,480
+هدول التلاتة الواحدين اللي موجودين والباقي كله
+
+210
+00:15:41,480 --> 00:15:46,280
+مشتق منها all other quantities in mechanics can be
+
+211
+00:15:46,280 --> 00:15:51,620
+expressed .. expressed يعبر عنها تمام؟ in terms of
+
+212
+00:15:51,620 --> 00:15:55,200
+these fundamental quantities بدلالة .. in terms of
+
+213
+00:15:55,200 --> 00:16:00,480
+.. بدلالة هدول الكميات الأساسية fundamental أساسي
+
+214
+00:16:00,480 --> 00:16:07,500
+تمام؟ نشوفهم كمان مرة ال quantityوهي الـ Dimension
+
+215
+00:16:07,500 --> 00:16:10,820
+وهي الـ Unit وبعدين اكتبهم كمان مرة الـ Unit
+
+216
+00:16:10,820 --> 00:16:15,500
+بالتلاتة System شايفينهم؟ MKS، CGS و الـ British
+
+217
+00:16:15,500 --> 00:16:20,980
+MKS اللي هو ASI والـ CGS هو الـ Gaussian هو نفسه
+
+218
+00:16:20,980 --> 00:16:25,780
+تمام خلّيني أشوف أنثلة بيقول الـ Area سمعتوا فيها؟
+
+219
+00:16:25,780 --> 00:16:33,050
+مساحة إيش وحدتها؟ إذا هي length في lengthصح ولا
+
+220
+00:16:33,050 --> 00:16:35,970
+لأ؟ إذا الـdimension تبقى حكيمي ده كتبه جعله يكتب
+
+221
+00:16:35,970 --> 00:16:41,170
+L تربية مش هي L في L زي X في X X تربية إذا
+
+222
+00:16:41,170 --> 00:16:44,030
+الـdimension احنا متفقين في عندي تلاتة أساسيات
+
+223
+00:16:44,030 --> 00:16:48,870
+Mass, Length وTالكميات الباقية كلها بدنا نشتق
+
+224
+00:16:48,870 --> 00:16:53,370
+منها، هي الـ Area، هذه كمية مش أساسية، كمية مشتقة
+
+225
+00:16:53,370 --> 00:16:58,310
+من المواحدة الأساسية، اللي هي اتفقنا التربية، هي
+
+226
+00:16:58,310 --> 00:17:01,610
+ال dimension تبعها، عملية سهلة، مافيش أسهل منها،
+
+227
+00:17:01,610 --> 00:17:04,610
+وحتى الرموز زي ما انتوا شايفين، احنا عندنا مادة
+
+228
+00:17:04,610 --> 00:17:10,110
+بيقول بالعربي، لكل مسمى من اسمهنصير، فدائما الاسم
+
+229
+00:17:10,110 --> 00:17:13,770
+عشان يديكي المعنى، ليش جاله ال .. عشان ال length،
+
+230
+00:17:13,770 --> 00:17:16,070
+عشان الواحد مايخربطش، الواحد يقول .. الواحد يقول
+
+231
+00:17:16,070 --> 00:17:18,530
+دي هو يحفظ، ال mass إيش رمزها، إيش رمزها، لأ،
+
+232
+00:17:18,530 --> 00:17:21,310
+مابتدهاش يحفظها، خلاص، يقول دي يا أبو ما زالت جولة
+
+233
+00:17:21,310 --> 00:17:24,910
+mass إن عرفت إيش الرمز تبعها، ال time إن عرفت،
+
+234
+00:17:24,910 --> 00:17:29,980
+فهدي إيه، تربية، إيه التربية؟تمت وحدتها في عندي
+
+235
+00:17:29,980 --> 00:17:34,540
+تلاتة systems الأن متر تربيع أو centimeter تربيع
+
+236
+00:17:34,540 --> 00:17:40,440
+أو foot تربيع foot square قدم تربيع إذا ال
+
+237
+00:17:40,440 --> 00:17:45,060
+dimension فيش لا واحد بس ال units تلاتة حسب ال
+
+238
+00:17:45,060 --> 00:17:51,100
+system اللي بتستخدموه ال S I متر في متر في ال CGS
+
+239
+00:17:51,100 --> 00:17:55,470
+الجازيان centimeter في centimeter في ال Britishفوت
+
+240
+00:17:55,470 --> 00:17:59,150
+في فوت فوت سكوير سنتمتر سكوير او متر سكوير
+
+241
+00:17:59,150 --> 00:18:04,890
+Velocity ايش معناتها؟ سرعة Velocity هي volume مش
+
+242
+00:18:04,890 --> 00:18:12,040
+شركين بال V Velocity معناتها سرعةتمام السرعة احنا
+
+243
+00:18:12,040 --> 00:18:16,360
+بنعرف عبارة عن مسافة على زمان، مظبوط ولا لا؟ اذا
+
+244
+00:18:16,360 --> 00:18:19,520
+احنا بنستقل من قانونها، مسافة على زمان، طب ايش ال
+
+245
+00:18:19,520 --> 00:18:23,500
+dimension؟ جالي L على T، L على T، اذا هاي ال
+
+246
+00:18:23,500 --> 00:18:27,900
+dimension، L على T، ال dimension واحدجيبت من أصلها
+
+247
+00:18:27,900 --> 00:18:31,780
+الصراع عبارة عن مسافة على زمان هي معدل تغير
+
+248
+00:18:31,780 --> 00:18:35,320
+المسافة بالنسبة للزمان مش هي ده خدنا تعريفها إذا
+
+249
+00:18:35,320 --> 00:18:38,860
+هي معدل تغير مسافة بالنسبة للزمان مسافة على زمان
+
+250
+00:18:38,860 --> 00:18:44,580
+تمام إذا طب إيش الوحدات نفس الخضية الـSi الـL
+
+251
+00:18:44,580 --> 00:18:50,300
+الـlength متر والـT متر على secondفي الجاوزيان
+
+252
+00:18:50,300 --> 00:18:55,620
+المسافة بجيسها بالسانتيمتر والوقت سانتيمتر على
+
+253
+00:18:55,620 --> 00:19:00,100
+ساكنتر في البريتش المسافات بجيسها بالفوت بالقدم
+
+254
+00:19:00,100 --> 00:19:06,800
+ففوت per second من الفظها بالانجليزي متر pair لكل
+
+255
+00:19:06,800 --> 00:19:09,540
+second سانتيمتر pair
+
+256
+00:19:14,390 --> 00:19:21,490
+meter per second أو foot per second فالـ foot
+
+257
+00:19:21,490 --> 00:19:27,130
+بنختصرها FT اختصار لكلمة foot اللي هي القدم تمام؟
+
+258
+00:19:27,130 --> 00:19:36,210
+هي كمان كمية هذه مش أساسية مش تقع force قوةالـ
+
+259
+00:19:36,210 --> 00:19:41,590
+Force .. ذاكره في القرن الواتر التاني F بتساوي MA
+
+260
+00:19:41,590 --> 00:19:51,090
+صح؟ هذه إيش؟ تسارع هذه عبارة عن سرعة على زمان سرعة
+
+261
+00:19:51,090 --> 00:19:55,630
+على زمان والسرعة عبارة عن مسافة على زمان إذا L على
+
+262
+00:19:55,630 --> 00:20:01,210
+T وفي كمان T تصير L T² وهذه M صح ولا لأ؟ إذا أنا
+
+263
+00:20:01,210 --> 00:20:07,220
+الآن رجعتها للكميات الأصلية التلاتةالـ Mass أصلية
+
+264
+00:20:07,220 --> 00:20:12,720
+التصارع مش أصلية برجحها سرعة على زمن السرعة مش
+
+265
+00:20:12,720 --> 00:20:17,040
+أصلي برجعه مسافة على زمن هذا كله fundamentals
+
+266
+00:20:17,040 --> 00:20:21,780
+بيصير إذا أنا برجحها اللي بدلالة التلاتة الأصليات
+
+267
+00:20:21,780 --> 00:20:24,600
+فال dimension لازم نكتب بدلالة بس هدول التلاتة
+
+268
+00:20:24,600 --> 00:20:33,880
+Mass Length Time نكتبها Mass Length على T Square
+
+269
+00:20:34,660 --> 00:20:40,100
+صحيح ولا لا؟ الـ force كمية مشهورة و كتير
+
+270
+00:20:40,100 --> 00:20:43,280
+بنستخدمها جالوا بنا أنطلع نقول كيلو جرام متر ع سكن
+
+271
+00:20:43,280 --> 00:20:48,320
+تربيع و الله بتسهل نديها وحدة قالوا نيوتن غلى
+
+272
+00:20:48,320 --> 00:20:51,960
+بحاله و لخم الدنيا و الناس انكرموا بهالوحدة فعطوه
+
+273
+00:20:51,960 --> 00:20:59,120
+وحدة القوة نيوتن هي الوحدة المشهورة بالـ SI system
+
+274
+00:20:59,120 --> 00:21:05,480
+لكن بالجاوزان قالوا لأ داينو هناك bound بالنظام
+
+275
+00:21:05,480 --> 00:21:09,540
+البريطاني و احنا متفقين ان كل كمية هنديكم وحدتهم
+
+276
+00:21:09,540 --> 00:21:14,240
+التلاتة بس هدى أمثلة سريعة عشان احنا مقدمة اذا ال
+
+277
+00:21:14,240 --> 00:21:20,180
+force اللي هتلت وحدات ال Newton و ال nine و ال
+
+278
+00:21:20,180 --> 00:21:24,550
+boundكل واحد جديش بالساوي موجودة واحدة في عشرة أو
+
+279
+00:21:24,550 --> 00:21:27,470
+خمسة أو مش عارف إيش و هذه الشغلات برضه احنا مش
+
+280
+00:21:27,470 --> 00:21:30,650
+معنيين كتير نحفظهم أنه لـNewton أكمضين إيه فيها و
+
+281
+00:21:30,650 --> 00:21:35,050
+لا تضين أكمبونت فيها مش معنيين ليش؟ لأن احنا عادة
+
+282
+00:21:35,050 --> 00:21:39,070
+هذه الشغلات نعطيكم إياها يعني مش قضية نكتب إنه
+
+283
+00:21:39,070 --> 00:21:41,430
+والله الـNewton بالساوية كذا إذا محتاجين في سؤال
+
+284
+00:21:41,430 --> 00:21:44,430
+من الأسئلة زي ما اتفقنا مابهمنيش انا نحفظ هذه
+
+285
+00:21:44,430 --> 00:21:47,390
+الشغلات الأرقام لأن هذه أرقام مجردة مالهاش معنى
+
+286
+00:21:47,390 --> 00:21:51,170
+كتير بس نفهمزي ما حكيت إنه لأ لازم أحول، هذه اللي
+
+287
+00:21:51,170 --> 00:21:53,930
+لازم أفهمه، ساعتها بدور على المعلومة، و لما أدور
+
+288
+00:21:53,930 --> 00:21:57,410
+على المعلومة يا وردي مثلا أجيبها، بيجيبها، تمام
+
+289
+00:21:57,410 --> 00:22:02,530
+Energy سمعتوا فيها، إيش هي؟ طاقة، كمية تزاية
+
+290
+00:22:02,530 --> 00:22:07,250
+مشهورة جدا، لما نيجي الطاقة إيها أدت قوانين،
+
+291
+00:22:07,250 --> 00:22:13,650
+الشغل، صح؟ هذه طاقة إيش؟طاقة الحركة، تمام؟ فعندي
+
+292
+00:22:13,650 --> 00:22:18,450
+أنا إما اللي حكيتها زميلتكم نص MV تربيع عيد كما
+
+293
+00:22:18,450 --> 00:22:24,650
+مرتش، حكيتها نص كاف نص كاف عين تربيع، هذا هي وفي F
+
+294
+00:22:24,650 --> 00:22:31,790
+بمسافة شغل، مظبوط ولا لا؟ وفي مهو مجي اتش هي
+
+295
+00:22:31,790 --> 00:22:35,730
+نفسها، طاقة الوضع فهذه لو بدأ يطلع، هذه أصلية ولا
+
+296
+00:22:35,730 --> 00:22:40,210
+مش أصلية؟و هذي بجيبها أصلية هي مسافة على زمان صحيح
+
+297
+00:22:40,210 --> 00:22:42,930
+على .. هذي طبعا بدي أجيبها أصلية بس هذي أصلية هذي
+
+298
+00:22:42,930 --> 00:22:46,310
+مش أصلية بجيبها فطبعا جيبت من هنا أو من هنا لازم
+
+299
+00:22:46,310 --> 00:22:49,390
+يكون نفس ال dimension لأنها نفس الوحدات فاشتق من
+
+300
+00:22:49,390 --> 00:22:52,730
+هنا او اشتق من هنا كله بالنسبة لي واحد فلما جت
+
+301
+00:22:52,730 --> 00:22:58,650
+ضيوب ال dimension اللي حكتها إيش هذي mass هذي L
+
+302
+00:22:58,650 --> 00:23:04,470
+على T ربعوها فصرت L تربيع على T تربيع رجعتها للأصل
+
+303
+00:23:04,470 --> 00:23:10,780
+mass lengthTime تمام؟ لو جبتها من هنا نفس العملية
+
+304
+00:23:10,780 --> 00:23:16,480
+هي أصلا هذه مش Force وإنها ال Force شفتوها ML على
+
+305
+00:23:16,480 --> 00:23:21,580
+D تربيه ليش بتضربها كمان؟ في كمان L؟ واحد فجبتها
+
+306
+00:23:21,580 --> 00:23:26,540
+من هنا ولا جبتها من هنا نفس الدا يمشي صحيح ولا لأ؟
+
+307
+00:23:26,540 --> 00:23:30,530
+تمام؟أيش الوحدات تبعتها؟ قال لي والله الـ Joule و
+
+308
+00:23:30,530 --> 00:23:34,910
+الـ Erg أو في عندى عشان زي ما تفقين النظام الأخير
+
+309
+00:23:34,910 --> 00:23:38,330
+نظام مش مشهور فما غلبوش حالهم يدوها وحدة قالوا
+
+310
+00:23:38,330 --> 00:23:43,250
+خليها قدمفى bound يعني جابوها من هذه القانون قدم
+
+311
+00:23:43,250 --> 00:23:47,170
+فى bound bound فى قدم او قدم فى bound تفردىش
+
+312
+00:23:47,170 --> 00:23:50,630
+فمالهاش وحدة خاصة بيها بالنظام الانجليزى أما
+
+313
+00:23:50,630 --> 00:23:54,750
+بالنظام التانى اللى هو ال international system وال
+
+314
+00:23:54,750 --> 00:23:59,250
+gaussian system فى ال jewel وفى ال air هدول وحدات
+
+315
+00:23:59,250 --> 00:24:04,250
+الطاقة إذا ال dimensional analysis فى إيش بيفيد
+
+316
+00:24:04,250 --> 00:24:06,730
+هذا ال dimensional analysis بقول والله كتير بيفيد
+
+317
+00:24:06,730 --> 00:24:09,390
+مرات الواحد من كتر ما عنده معلومات
+
+318
+00:24:11,860 --> 00:24:14,880
+بصير سلطة جوا المخ، بيبطل الواحد عارف أن هذه
+
+319
+00:24:14,880 --> 00:24:17,160
+المعادلة هي طولها فيه تربيع ولا ليس فيه تربيع، أنا
+
+320
+00:24:17,160 --> 00:24:20,780
+كيف حافظتها؟ بيقول انت لو عملت ال check كنت صاحي و
+
+321
+00:24:20,780 --> 00:24:24,200
+عندك جلد و طول اتبال، انت عملت check، بتعرف ان
+
+322
+00:24:24,200 --> 00:24:27,700
+والله هذا القانون صح ولا مش صح، اللي انت كتبته،
+
+323
+00:24:27,700 --> 00:24:32,060
+مخربط فيه ولا ماخربطش فيه، نجي نجي هالمثال، بيقول
+
+324
+00:24:32,060 --> 00:24:36,310
+show thatthe equation below المعادلة اللي هتشوفوها
+
+325
+00:24:36,310 --> 00:24:40,370
+تحت تمام ال dimensionally correct طبعا انتوا
+
+326
+00:24:40,370 --> 00:24:45,130
+بتعرفوا equation معناته معادلة صحيح؟ وكل معادلة
+
+327
+00:24:45,130 --> 00:24:48,950
+لازم كلمة يساوي موجودة ولا لا فعندي أنا طرف هنا
+
+328
+00:24:48,950 --> 00:24:55,490
+وفي عندي يساوي هنا وفي طرف أخر هان خلي أحمر عشان
+
+329
+00:24:55,490 --> 00:25:01,550
+يساويكلمة يساوي معناته يساوي في كل شيء بينفع يكون
+
+330
+00:25:01,550 --> 00:25:05,110
+عندي ham كيلو جرام تطلع عندى هنا meter per second
+
+331
+00:25:05,110 --> 00:25:09,770
+إذا في خطأ ولا لأ لازم يكون في خطأ بينفعش لازم
+
+332
+00:25:09,770 --> 00:25:13,450
+الوحدات و ال dimension اللى هال تساوي الوحدات و ال
+
+333
+00:25:13,450 --> 00:25:17,550
+dimension اللى هال لأنه مستحيل أنت تقول سرعة تساوي
+
+334
+00:25:17,550 --> 00:25:22,160
+قوة no wayبينفعش أو تقول مسافة بالساوي زمان او
+
+335
+00:25:22,160 --> 00:25:24,820
+ممكن اسمعتوا مسافات بالساوي زمان؟ هل ممكن نقول
+
+336
+00:25:24,820 --> 00:25:28,020
+والله خمسة بالساوي خمسة ولا لأ؟ بس هل خمسة متر
+
+337
+00:25:28,020 --> 00:25:31,880
+بالساوي خمسة second؟ لأ، إذا لو غيرت الوحدات،
+
+338
+00:25:31,880 --> 00:25:35,240
+بتبطل خمسة بالساوي خمسة إذا معناته لما تقولي
+
+339
+00:25:35,240 --> 00:25:38,880
+معادلة وانت شاكك إن هذه معادلة صح ولا لأ، تطلع ال
+
+340
+00:25:38,880 --> 00:25:41,480
+dimensions إذا جيت ال dimension اللي هان غير عن ال
+
+341
+00:25:41,480 --> 00:25:44,850
+dimension اللي هان، قول أكيد المعادلة فيها غلطإذا
+
+342
+00:25:44,850 --> 00:25:47,890
+هذه الـ Dimensional Analysis بساعدني أعمل تشك
+
+343
+00:25:47,890 --> 00:25:53,770
+المعادلة اللي مكتوبة صح ولا لا؟ بقول هي معادلة X
+
+344
+00:25:53,770 --> 00:26:00,090
+بتساوي V0 في T سرعة ابتدائية V0 عن سفر في T plus
+
+345
+00:26:00,090 --> 00:26:04,370
+half E T تربيع زي اد نص T زي تربيع ذاكرينوا هذا
+
+346
+00:26:04,370 --> 00:26:12,080
+القانون؟ هذه معادلة جالي أعمل تشكX بيتساوى V0 T
+
+347
+00:26:12,080 --> 00:26:16,880
+Plus Half A T Square بدي أتأكد هل ال dimension
+
+348
+00:26:16,880 --> 00:26:21,760
+اللي على يمين إشارة يساوي و ال dimension اللي على
+
+349
+00:26:21,760 --> 00:26:26,110
+يسار إشارة يساوي زي بعض ولا لأ كيف نعمل؟X إيش
+
+350
+00:26:26,110 --> 00:26:31,830
+الـDimension تبعها؟ L هذي L هنا لازم يكون في عندك
+
+351
+00:26:31,830 --> 00:26:35,710
+L وإلا في خطأ في المعادلة إذا طلعت L حلت السؤال
+
+352
+00:26:35,710 --> 00:26:39,010
+عارفينيش مين أسويه؟ إذا أنا بدي أثبت إن هذي
+
+353
+00:26:39,010 --> 00:26:43,690
+المعادلة صحيحة ولا لأ بال dimensions نشوف كيف نعمل
+
+354
+00:26:43,690 --> 00:26:48,690
+ال solution solution إيش معناتها؟ حل تمام وفي
+
+355
+00:26:48,690 --> 00:26:52,250
+الكيميا معناتها مركب، محلول تمام
+
+356
+00:26:53,690 --> 00:26:58,930
+الـ dimension تبع X اللي هي length مظبوط ولا لأ ال
+
+357
+00:26:58,930 --> 00:27:01,910
+dimension تبع ال V لو عملناها احنا وياكم length
+
+358
+00:27:01,910 --> 00:27:07,210
+على time و ال dimension تبع ال acceleration length
+
+359
+00:27:07,210 --> 00:27:12,550
+على T² قال يلّا عوّط بنروح
+
+360
+00:27:12,550 --> 00:27:17,540
+اعوّط واحدة واحدة ايش بدي ال X حطيت؟بديل XL بديل
+
+361
+00:27:17,540 --> 00:27:22,880
+V0 طبعا V0 و لا V كل واحد سرعة في النهاية L على T
+
+362
+00:27:22,880 --> 00:27:27,380
+بديل T بديل acceleration L على T تربيع و هنا T
+
+363
+00:27:27,380 --> 00:27:31,100
+تربيع طيب بقدر أقول ها دي مع ها دي بواحد و ها دي
+
+364
+00:27:31,100 --> 00:27:34,640
+مع ها دي طبعا L و L بيظهر L مش اتنين L لأ ده
+
+365
+00:27:34,640 --> 00:27:41,920
+dimension ف LL يعني L هي L و هناإذن اليمين واليسار
+
+366
+00:27:41,920 --> 00:27:45,480
+ال .. إذن هذه المعادلة صحيحة يعني لو واحد جال
+
+367
+00:27:45,480 --> 00:27:49,420
+الناس يقول هادي نسي ال square بتظبط معاه؟ بتظبطش،
+
+368
+00:27:49,420 --> 00:27:52,240
+يعني انت بتذكر أنه في مشكلة عنده يعني لو هادي
+
+369
+00:27:52,240 --> 00:27:57,040
+نسيها و الطلاب بنسوا هى T square ولا T و هادي بادي
+
+370
+00:27:57,040 --> 00:28:00,920
+لأ من دون هادي بادي أعمل test ع السريع بتعرف إنها
+
+371
+00:28:00,920 --> 00:28:06,400
+لازم تكون T square مش T ولا T cubic تكعيبإذا أنا
+
+372
+00:28:06,400 --> 00:28:11,400
+بالـ Dimensional Analysis بإمكاني أعمل test إن
+
+373
+00:28:11,400 --> 00:28:15,440
+المعادلة اللي مكتوبة قدامي صحيحة ولا مش صحيحة
+
+374
+00:28:15,440 --> 00:28:18,520
+فيزيائيًا تمام، هذه لسه موضوع سهل، احنا لسه مابدنا
+
+375
+00:28:18,520 --> 00:28:22,220
+ناس بالجد تمام،
+
+376
+00:28:22,220 --> 00:28:28,750
+الآن بدنا نبدأ شوية شوية بـ Solbischapterأهم حاجة
+
+377
+00:28:28,750 --> 00:28:31,790
+في الشبطة ميجارمنس و Vectors خلصنا الـ
+
+378
+00:28:31,790 --> 00:28:34,630
+Measurements الشغلات البسيطة هذه هجيت بنا نتعامل
+
+379
+00:28:34,630 --> 00:28:40,090
+مع الـ Vectors الكميات المتجهة Vectors and Scalars
+
+380
+00:28:40,090 --> 00:28:44,890
+Scalar يعني كمية قياسية Scalar رح نتكررها كتير
+
+381
+00:28:44,890 --> 00:28:51,430
+Vector و Scalar كمية متجهة و كمية قياسية بدنا نشوف
+
+382
+00:28:51,430 --> 00:28:57,880
+كيف نميز بينهمAll physical quantities are either
+
+383
+00:28:57,880 --> 00:28:59,220
+vectors or scalars
+
+384
+00:29:05,730 --> 00:29:09,610
+لأ vectors يعني أين بدنا نجوح لهذه لهذه إذا مش
+
+385
+00:29:09,610 --> 00:29:13,610
+vector بتكون scalar مش scalar بتكون vector إذا كل
+
+386
+00:29:13,610 --> 00:29:18,710
+الكميات الفيزيائية صنفوها إلى نوعين من هذه الإتجاه
+
+387
+00:29:18,710 --> 00:29:24,970
+إنه هل هي scalar ولا هي vector طيب كيف؟ أول نتعرف
+
+388
+00:29:24,970 --> 00:29:29,730
+على scalar السهلة scalar إيش تعريفها؟It's the
+
+389
+00:29:29,730 --> 00:29:35,610
+physical quantity that has magnitude only. الكمية
+
+390
+00:29:35,610 --> 00:29:39,930
+الفيزيائية اللي بلزمها تديني بس مقدارها، فقط
+
+391
+00:29:39,930 --> 00:29:45,750
+مقدارها. قعدنا نشوف كتلتك
+
+392
+00:29:45,750 --> 00:29:50,890
+ستين كيلو جرام. لما تحكي هذه الكلمة، الكل بيفهم
+
+393
+00:29:50,890 --> 00:29:55,810
+ولا لا؟ في حد بيقولك إيش يعني؟ بدي كمان معلومة؟ ما
+
+394
+00:29:55,810 --> 00:30:00,970
+هي كتلتي.خلاص ستين كيلو جرام من التحقيق هنا بلزمش
+
+395
+00:30:00,970 --> 00:30:04,430
+ولا واحد يقول ايش اللي بيحكوه هدول لسه معلومة
+
+396
+00:30:04,430 --> 00:30:09,250
+ناقصة درجة الحرارة تلاتين درجة بتكون معلومة اكتر
+
+397
+00:30:09,250 --> 00:30:15,570
+من كده؟ لأالفترة الزمنية خمس أيام و لا تلت ساعات
+
+398
+00:30:15,570 --> 00:30:20,430
+بالزم أكتر من كده معلومة؟ إذا في كميات فقط الدين
+
+399
+00:30:20,430 --> 00:30:23,410
+يجديش ال magnitude، magnitude يعني المقدار، هذا
+
+400
+00:30:23,410 --> 00:30:28,790
+بيكفي هذه الكميات بسميها scalars، إلها magnitude
+
+401
+00:30:28,790 --> 00:30:32,570
+طب و إيش الباقي؟ بيقولوا لأ في نيجي لشغل اسمها
+
+402
+00:30:32,570 --> 00:30:37,760
+الإزاحةسمعتوا فيها؟ displacement واحد بيقول لي
+
+403
+00:30:37,760 --> 00:30:41,360
+إنزاع خمسة متر، بقول استنى شوية، خمسة متر هو اللي
+
+404
+00:30:41,360 --> 00:30:44,840
+راح، يمين ولا شمال، شرق ولا غرب، صح ولا لا؟ إذا
+
+405
+00:30:44,840 --> 00:30:48,000
+ماكنفش تقوللي خمسة متر عشان أعرف هو اللي راح، خمسة
+
+406
+00:30:48,000 --> 00:30:51,840
+متر، طب راحك ولا راحك؟ راحك ولا راحك؟ صح ولا لا؟
+
+407
+00:30:51,840 --> 00:30:56,060
+واحد يقوللي ال forceفهذه الطاولة بدي أثير عليها
+
+408
+00:30:56,060 --> 00:30:59,900
+بقوة كيف؟ يمين ولا شمال ولا ضغط ولا فحّة لا فوق
+
+409
+00:30:59,900 --> 00:31:04,960
+إذن اتجاه القوة صار له أهمية بيغير كل إشي إذن ال
+
+410
+00:31:04,960 --> 00:31:10,200
+force ماهياش قياسية مش scalar vector لأنه بدي أنا
+
+411
+00:31:10,200 --> 00:31:15,760
+اتجاه الإزاحة نفس العملية طبعا اللي ملزج بالإزاحة
+
+412
+00:31:15,760 --> 00:31:19,150
+السرعةالسرعة لأنه يزاحة على زمان، إما تقول لي
+
+413
+00:31:19,150 --> 00:31:23,130
+طيارة ماشية خمسة كيلومتر في الساعة، بعد ساعة بتصل
+
+414
+00:31:23,130 --> 00:31:27,850
+جباليا ولا بتصل رفاح؟ إذا رايحة هيك، بتصل جباليا؟
+
+415
+00:31:28,530 --> 00:31:31,630
+لا، بتصرف واحد، لكن إذا رايحة هيك، بتصرف جبالي،
+
+416
+00:31:31,630 --> 00:31:34,590
+إذا معناته الاتجاه هو اللي بيخليني أعرف أين رايحة
+
+417
+00:31:34,590 --> 00:31:37,310
+السيارة و أين بتصل بعد بدة، من أين أستنها، أروح
+
+418
+00:31:37,310 --> 00:31:39,910
+هنا أستنها و أروح هنا أستنها، أروح هنا أستنها على
+
+419
+00:31:39,910 --> 00:31:42,270
+البحر و أروح هنا أستنها في أخر الشجاعية، إذا بدي
+
+420
+00:31:42,270 --> 00:31:46,430
+اتجاه، صحيح ولا لأ؟ إذا في كميات فيزيائية، بكفيش
+
+421
+00:31:46,430 --> 00:31:51,970
+تديني مقداره بس، لازم تديني الاتجاه تبعها، تمام،
+
+422
+00:31:51,970 --> 00:31:55,730
+نجي لها دول، إيش الأمثلة، إيشي اختصها لكلمة
+
+423
+00:31:55,730 --> 00:32:02,760
+examples، تمام، مايكونش أحاللي هم الـTime، الزمن،
+
+424
+00:32:02,760 --> 00:32:08,140
+الـ Volume، الحجم، الحجم، خلاص، الحجم من الجزازة،
+
+425
+00:32:08,140 --> 00:32:11,680
+لترين كولا ولا لتر كولا؟ خلاص، لتر أو لترين، كولا
+
+426
+00:32:11,680 --> 00:32:15,760
+ولا ميا ولا زيت، كله واحد بالنسبالكم، لأن الحجم،
+
+427
+00:32:15,760 --> 00:32:18,820
+ما حد بيقولكم حاجة تانية، ال mass اللي حاكينا
+
+428
+00:32:18,820 --> 00:32:22,320
+عنها، mass، كتلة، density، كثافة
+
+429
+00:32:29,310 --> 00:32:37,220
+المسافة بينك وبينها نفترض مترينمسافة هذه مش إذاحة،
+
+430
+00:32:37,220 --> 00:32:41,640
+مجرد بقيت بقيت، هذه عبارة عن scalar، مسافة، بعد،
+
+431
+00:32:41,640 --> 00:32:45,580
+ما بين اتنين و ال temperature، درجة الحرارة، هذه
+
+432
+00:32:45,580 --> 00:32:49,840
+كلها كميات قياسية، في غيرها، إذا إجتنا واحدة مر
+
+433
+00:32:49,840 --> 00:32:55,000
+عليها، هنقول هذه قياسية ولا vector طب إيش هي ال
+
+434
+00:32:55,000 --> 00:32:58,720
+vector قولنا؟إيه الكتب؟ بيقول is the physical
+
+435
+00:32:58,720 --> 00:33:04,580
+quantity that has both magnitude and direction إذا
+
+436
+00:33:04,580 --> 00:33:08,380
+بالإضافة إلى ال magnitude بدي إيش؟ بدي اتجاه بدي
+
+437
+00:33:08,380 --> 00:33:13,780
+ال direction إذا إلها magnitude and direction any
+
+438
+00:33:13,780 --> 00:33:18,680
+physical quantity that has both magnitude مقدار و
+
+439
+00:33:18,680 --> 00:33:20,880
+direction شوفوا كان مرة استخدمنا كلمة magnitude
+
+440
+00:33:20,880 --> 00:33:23,860
+الآن و هي اللي حفظتوها مافيش داعي نروح و نجيب
+
+441
+00:33:23,860 --> 00:33:26,840
+القمص و نشوف كده إيش معنى magnitudeو نحفظ إيش
+
+442
+00:33:26,840 --> 00:33:30,340
+معنات magnitude فاللغة زي ما اتفقنا شوية شوية ولا
+
+443
+00:33:30,340 --> 00:33:35,180
+إلها أي قيمة لا تشكل بالنسبة إنا أي صعوبة
+
+444
+00:33:35,180 --> 00:33:39,820
+magnitude, direction، اتجاه، vector، scalar، هاي
+
+445
+00:33:39,820 --> 00:33:43,620
+الكلمة اللي استخدمناها، تمام؟ vector إيش معناتها؟
+
+446
+00:33:43,620 --> 00:33:48,340
+كمية متجهة و scalar؟ كمية قياسية و لو خربط واحد
+
+447
+00:33:48,340 --> 00:33:51,300
+بالإملة، مانحسب هوشياكتبوا بالـ scalar كيف ما
+
+448
+00:33:51,300 --> 00:33:56,780
+تجيبوها بالـ A بالـ Y بالـ O مش خضية المهم لما
+
+449
+00:33:56,780 --> 00:34:01,740
+تشوفوها بتعرفوها يعني أهم حاجة العمل بالنيات تمام
+
+450
+00:34:01,740 --> 00:34:05,560
+إيش في عندنا كميات فيزيائية بيقول ال displacement
+
+451
+00:34:05,560 --> 00:34:09,080
+ه في distance و في displacement ال distance مسافة
+
+452
+00:34:09,080 --> 00:34:14,480
+displacement إزاحةإذا في فرق ما بين الإزاحة
+
+453
+00:34:14,480 --> 00:34:19,580
+والمسافة displacement velocity أكتر مرة قررناها
+
+454
+00:34:19,580 --> 00:34:28,580
+acceleration تسارع acceleration force areaمساحة ..
+
+455
+00:34:28,580 --> 00:34:31,640
+ممكن مرة تقول حاجة غريبة هذه مساحة معجول؟ يقولوا
+
+456
+00:34:31,640 --> 00:34:35,800
+أه معجولة المساحة طلعت vector والله، تمام؟ يعني
+
+457
+00:34:35,800 --> 00:34:39,220
+إلها اتجاه ومتعرف عليها ومشوف كيف اتجاه بيجيبوها،
+
+458
+00:34:39,220 --> 00:34:45,100
+تمام؟ إذا ال volume is scalar لكن المساحة vector،
+
+459
+00:34:45,100 --> 00:34:49,980
+تمام؟ اتجاهها دايما بيكون عمودي كما مرّت عليكم،
+
+460
+00:34:49,980 --> 00:34:54,410
+يعني هذه الطاولة مش مساحة، اتجاهها هياللوح حيه
+
+461
+00:34:54,410 --> 00:34:56,710
+اتجاهها .. الحيط حيه اتجاهها طبعا ممكن هيك ..
+
+462
+00:34:56,710 --> 00:34:59,890
+اتجاه المعاكس و بعدين بنحكي في الموضوع بصورة
+
+463
+00:34:59,890 --> 00:35:05,890
+تفصيلية .. اذا انا الان كل الكمية الفيزيائية لا
+
+464
+00:35:05,890 --> 00:35:09,770
+scalar لا vector .. حلو .. طب اولا ليش بدنا نسفد؟
+
+465
+00:35:09,770 --> 00:35:12,850
+بقول بدنا نسفد كتير .. scalars .. خمسة و تلاتة
+
+466
+00:35:12,850 --> 00:35:18,130
+جديش؟تمانية ولا حد بيقول كومون انتوا Scalars خمسة
+
+467
+00:35:18,130 --> 00:35:22,210
+و تلاتة تمانية Vectors خمسة شرق و تلاتة غرب
+
+468
+00:35:22,210 --> 00:35:26,570
+تمانية؟ قطلنا نجمع زي ايه؟ إذا في جامعة جيد طلع مش
+
+469
+00:35:26,570 --> 00:35:29,230
+كل الجامعة اللي أخدناها في الراوضة احنا إذا في
+
+470
+00:35:29,230 --> 00:35:33,330
+جامعة اتجاهي إيه ليه تقولوا تاني؟ مانفعش نقول خمسة
+
+471
+00:35:33,330 --> 00:35:37,450
+شرق و تلاتة شمال بيساوي تمانية إذا في علم جديد
+
+472
+00:35:37,450 --> 00:35:40,470
+نتعلم كيف نتعامل مع ال vectors ال scalars من أين
+
+473
+00:35:40,470 --> 00:35:43,770
+نعلمكم حاجة؟ من أين نعلمكم جد ولا ضرب؟ما بطأ كانوا
+
+474
+00:35:43,770 --> 00:35:46,270
+زمان يحاسبوكم على جدول الطريق ولا لا؟ في حد فيكم
+
+475
+00:35:46,270 --> 00:35:50,610
+حافظ اليه؟ ولا ال calculator بتقوم بالمهمة؟ ال
+
+476
+00:35:50,610 --> 00:35:54,050
+calculator بتقوم بالمهمة خلاص بس غلبونا في الصف
+
+477
+00:35:54,050 --> 00:35:57,150
+تالت و لا الصف رابع و هم يحافظونا جدول الدرب على
+
+478
+00:35:57,150 --> 00:35:59,630
+الفاضي اذا جيت في الأول كان في calculator اذا جيت
+
+479
+00:35:59,630 --> 00:36:03,230
+الجوال تطلع و جايب النتيجة كمان طيب
+
+480
+00:36:06,650 --> 00:36:08,970
+ما هو .. ما .. هجيت عنده .. جيل ما هو الصغير هجيت
+
+481
+00:36:08,970 --> 00:36:12,010
+عنده جوالات في الصف أول، بس المشكلة بياخدوش على
+
+482
+00:36:12,010 --> 00:36:15,290
+المدارس، ولا كان سلام السلم يكون ولا حاجة بحفظ جد
+
+483
+00:36:15,290 --> 00:36:21,490
+ولا تضرب، يمكن بطلع ال move، فلسهو المصطر من زمان
+
+484
+00:36:21,490 --> 00:36:25,390
+المصطرات الموجودة بس المصطر مافيش فيها كل شي هجيب
+
+485
+00:36:25,390 --> 00:36:29,970
+2.3 في 4 upon 2 اذا كنت عامله تضربي ضرب عادي بال
+
+486
+00:36:29,970 --> 00:36:33,790
+.. كنا زمان نعتمد على ذا كرتنا وجد و نضرب و نحطهم
+
+487
+00:36:33,790 --> 00:36:37,590
+جان بعض و نضرب و زي توي .. بقول الطلبة في عنكم
+
+488
+00:36:37,590 --> 00:36:41,610
+Calculator ماعندهمش فضربنا 2.1 by 2 .. بالذاكرة
+
+489
+00:36:41,610 --> 00:36:45,710
+زمان one by one و one upon two و نجمع و نجيبها و
+
+490
+00:36:45,710 --> 00:36:48,910
+نجيبها كنا تمام
+
+491
+00:36:50,070 --> 00:36:57,510
+حلو، الآن هيمر علينا force و هيمر علينا mass الـ
+
+492
+00:36:57,510 --> 00:37:03,700
+mass scalarوالـ force vector طب هذا رمز كيف و أنا
+
+493
+00:37:03,700 --> 00:37:06,960
+من النبتاب من شكله أعرف إنه vector ولا scalar
+
+494
+00:37:06,960 --> 00:37:11,900
+جالوا الشحطة اللي فوق بالآخر جالوا .. زمان جالوا
+
+495
+00:37:11,900 --> 00:37:15,660
+الشحطة سهل نعملها في الآخر صارت في ال computers و
+
+496
+00:37:15,660 --> 00:37:18,560
+الطباعة كلها بطلت على الطبعات عزمان طب طب طب
+
+497
+00:37:18,560 --> 00:37:22,960
+يعملوها هجت كل واحد بطبعة الكمبيوتر بعد ما اعتمدوا
+
+498
+00:37:22,960 --> 00:37:27,750
+هذا الرمز جالوا في حياة اسمها boldبولد .. إيش
+
+499
+00:37:27,750 --> 00:37:32,130
+الحرف الـ bold؟ الغامج .. الغامج اللي بتحطه Ctrl P
+
+500
+00:37:32,130 --> 00:37:36,970
+بغمج الحرف في الكمبيوتر Ctrl P بغمج .. أو في P فوق
+
+501
+00:37:36,970 --> 00:37:42,210
+تختاروه بغمج قالوا إذا كل حاجة غامجة بدنا نعتمدها
+
+502
+00:37:42,210 --> 00:37:45,410
+تكون vector عشان الطلب أول ما يطلع حد رمز غامج
+
+503
+00:37:45,410 --> 00:37:50,410
+يقولها ده بيمثل كمية إيشمتجهة .. تمام؟ الـ vector
+
+504
+00:37:50,410 --> 00:37:52,850
+quantity will be distinguished .. هميزها ..
+
+505
+00:37:52,850 --> 00:37:56,250
+distinguished from the scalar quantity by typing
+
+506
+00:37:56,250 --> 00:38:00,010
+it in boldface .. هنكتبها بالبول .. بالكتب .. طبعا
+
+507
+00:38:00,010 --> 00:38:03,590
+على اللوح مش هنقدر نغمك .. هنحط السهم .. تمام؟ ولا
+
+508
+00:38:03,590 --> 00:38:06,130
+في الدفتر هتقدروا تغمكوا .. صعب لو حد يغمك .. بس
+
+509
+00:38:06,130 --> 00:38:09,210
+الكمبيوتر مش أثر من أن واحد يغمك .. طبعا الحمد لله
+
+510
+00:38:09,210 --> 00:38:15,630
+هكتب غالبا على كمبيوتر فهتلاقوا مغمجة .. تمام؟In
+
+511
+00:38:15,630 --> 00:38:18,850
+right-handing، وإحنا بنكتب بإيدنا، تمام؟ الـ
+
+512
+00:38:18,850 --> 00:38:21,750
+vector quantity is written with an arrow over the
+
+513
+00:38:21,750 --> 00:38:25,750
+symbol، هحط سهم على الـ symbol، بديل الـ ball. إذا
+
+514
+00:38:25,750 --> 00:38:29,270
+و أنا بكتب على اللوح أو بكتب على الدفتر، مضطر إن
+
+515
+00:38:29,270 --> 00:38:33,470
+عشان مش هقدر أميز هذا غامج ولا فاتح، فهقول، هذا
+
+516
+00:38:33,470 --> 00:38:40,130
+إيه؟ هحط هذا رمز، رمز السهم، ساعتها هذا يمثل كمية؟
+
+517
+00:38:40,130 --> 00:38:45,080
+vector، تمام؟such as وهنا نكتب الكمية إيه فوق هذا
+
+518
+00:38:45,080 --> 00:38:50,460
+السهم؟ حلو ال vector إيش إله إيش؟ magnitude و
+
+519
+00:38:50,460 --> 00:38:54,060
+direction بيقول ال magnitude of the vector هاي إيش
+
+520
+00:38:54,060 --> 00:38:58,200
+عملتها دي؟ مبينة بولد ولا مش مبينة؟ هادي بولد بيّن
+
+521
+00:38:58,200 --> 00:39:03,780
+بالطباعة فهادي بدل هادي هادي بال right handing
+
+522
+00:39:03,780 --> 00:39:09,900
+هادي بال computers فالكتب أغلبها الآن هذا مش موجود
+
+523
+00:39:11,580 --> 00:39:15,160
+وجعب من إيديكم كتاب أصفر تتابعون زمان هتلاقوا هذا
+
+524
+00:39:15,160 --> 00:39:19,200
+كل الرموز موجودة بس بعد كده الكتب الجديدة ما حد
+
+525
+00:39:19,200 --> 00:39:24,660
+بحط تمام تمام the magnitude و the vector a will be
+
+526
+00:39:24,660 --> 00:39:27,840
+generated by عشان أنا بدي أقول بدي ال magnitude
+
+527
+00:39:27,840 --> 00:39:31,860
+بديش ال direction بجيب هذا ال vector a بحط هيك
+
+528
+00:39:31,860 --> 00:39:35,400
+ساعتين أنا بقول بس بدي ال magnitude مالي دعو بال
+
+529
+00:39:35,400 --> 00:39:39,580
+directionفهمتوا عليا كيف؟ معنى .. لأن هو magnitude
+
+530
+00:39:39,580 --> 00:39:44,520
+و direction فلو بدي ال magnitude بقول hand او اذا
+
+531
+00:39:44,520 --> 00:39:48,820
+انت بتكتب في كتاب ال E اعمله Italic Italic يعني
+
+532
+00:39:48,820 --> 00:39:53,600
+ميّر Italic Ctrl I بيميّركم E على طول في الطباعة
+
+533
+00:39:53,600 --> 00:39:58,760
+or simply the Italic type A هذه عشان كيف نميز ما
+
+534
+00:39:58,760 --> 00:40:02,940
+بين ال vectors و ال scalar بالكتاب او بالطباعة او
+
+535
+00:40:02,940 --> 00:40:08,010
+بالكتابةطيب، بيقولي طيب هندسيا كيف بدأ أمثله أنا
+
+536
+00:40:08,010 --> 00:40:12,110
+هذا؟ الخمسة ماتتمثلش، بس ال vector له مقدار و
+
+537
+00:40:12,110 --> 00:40:16,770
+متجاهة المقدار الخامسة غير عن السبعة، صح ولا لأ؟
+
+538
+00:40:16,770 --> 00:40:20,590
+والشرق غير عن الغرب طب واحد لا هو شرق ولا هو غرب،
+
+539
+00:40:20,590 --> 00:40:23,990
+كيف بدأ أكتبه؟ جانبه بسيطة، ال vector مافيش أسهل
+
+540
+00:40:23,990 --> 00:40:29,250
+مني أنك تتعامل معاه، حط خط و فوق فيه سهمالسهم
+
+541
+00:40:29,250 --> 00:40:34,390
+بيجيه عليه إيش؟ على اتجاه الخط طوله بتناسب مع
+
+542
+00:40:34,390 --> 00:40:39,790
+مقداره بتناسب مع مقداره يعني بمعنى آخر هاي خط
+
+543
+00:40:39,790 --> 00:40:47,330
+وحطتها ده السهم في مشكلة أقول من تجه هذا يمين؟ ولا
+
+544
+00:40:47,330 --> 00:40:51,450
+ممكن واحد يقول هذا من تجه فوق؟ ممكن يتخربطوا؟ لأ
+
+545
+00:40:51,450 --> 00:40:56,340
+طيب هجيت أقوم بالهدىفي حد ممكن يقولي هذا أكبر من
+
+546
+00:40:56,340 --> 00:41:00,080
+هذا؟ لأ، هذا أكبر من هذا، صح ولا لأ؟ كيف يعرفيه؟
+
+547
+00:41:00,080 --> 00:41:02,640
+بيقوله هذا الطول وأكبر من هذا الطول، إذن هذا الطول
+
+548
+00:41:02,640 --> 00:41:06,750
+بتنسل مع مين؟ مع مقداره؟تمام؟ لو هذا ضعف هذا
+
+549
+00:41:06,750 --> 00:41:11,110
+معناته بيكون هذا طوله نص هذا صحيح ولا لأ؟ إذا
+
+550
+00:41:11,110 --> 00:41:15,390
+معناته هندسيا، Geometrically، the vector quantity
+
+551
+00:41:15,390 --> 00:41:19,050
+is represented by a straight line خط مستقيم is
+
+552
+00:41:19,050 --> 00:41:22,310
+represented .. يمثل .. represented by a straight
+
+553
+00:41:22,310 --> 00:41:26,210
+line and .. and a row at one end of the line
+
+554
+00:41:26,210 --> 00:41:30,930
+الـRow معناتها سهم على end معناته هنا طرف أحد
+
+555
+00:41:30,930 --> 00:41:37,820
+نهايات الخط هذا هوهي خط مستقيم، في حد بيشكك في
+
+556
+00:41:37,820 --> 00:41:42,160
+الاتجاه هذا، إذا معناته هادي، الرمز بيديكي دلالة
+
+557
+00:41:42,160 --> 00:41:45,920
+كاملة في عليه ولا لا، الطول اللي أنا حاسس فيه،
+
+558
+00:41:45,920 --> 00:41:51,320
+والسهم يقولي وين الاتجاه، حلو، هذا الطرف بيسموه
+
+559
+00:41:51,320 --> 00:41:56,440
+ديلوالـ tail of the vector والتاني رأسه head of
+
+560
+00:41:56,440 --> 00:42:01,180
+the vector إذا ال vector صار له رأس و له ديل رأسه
+
+561
+00:42:01,180 --> 00:42:06,640
+بوجه على اتجاهه و ديله ديله تمام؟ اللي مش رأسه
+
+562
+00:42:06,640 --> 00:42:11,560
+بكون ديله تمام حلو؟ أخر حاجة ممكن نعملها equality
+
+563
+00:42:11,560 --> 00:42:17,040
+of two vectors نرجع لكلمة يساوي اتفقنا كلمة يساوي
+
+564
+00:42:17,040 --> 00:42:20,720
+بتعني مساوية في أيش؟ في كل شيءفى كل إشي ندى للـ
+
+565
+00:42:20,720 --> 00:42:27,500
+vectors الـ vector إله مقداره إيش؟ متجاهة إذن عشان
+
+566
+00:42:27,500 --> 00:42:30,760
+تُكتب يساوي لازم التنين يكونوا متساويين مقدارا
+
+567
+00:42:30,760 --> 00:42:37,400
+واتجاهة يعني واحد خمسة شرقا وواحد خمسة جنوبا بسوء؟
+
+568
+00:42:37,400 --> 00:42:41,500
+لأ، ممكنشمع انهم متساوين مقدر يعرف هذا خمسة و هذا
+
+569
+00:42:41,500 --> 00:42:47,080
+خمسة فبقول لي any two vectors اي two vectors are
+
+570
+00:42:47,080 --> 00:42:51,140
+said to be equal ممكن تقول عنهم متساوين شرط if
+
+571
+00:42:51,140 --> 00:42:54,500
+they have the same magnitude هذه أول شرط إنهم نفس
+
+572
+00:42:54,500 --> 00:42:57,600
+المقدار and point in the same direction ومتجهين في
+
+573
+00:42:57,600 --> 00:43:02,090
+نفس الاتجاهيجب أن يكون لديه نفس المجموعة و نفس
+
+574
+00:43:02,090 --> 00:43:06,510
+الاتصال مجموعة و اتصال لازم يتساوى regardless of
+
+575
+00:43:06,510 --> 00:43:09,830
+their location بغض النظر وينوجعين يعني مش بالضرورة
+
+576
+00:43:09,830 --> 00:43:13,410
+أكون ملازجين بعض التلزيق لأ واحد هنا و التاني في
+
+577
+00:43:13,410 --> 00:43:17,090
+شهنم بس نفس الطول و نفس الاتجاه بقول متساوى بعد
+
+578
+00:43:17,090 --> 00:43:24,490
+تمام؟ هاي إيه؟ شايفينه؟ vector هاي و bolt هاي وضل
+
+579
+00:43:24,490 --> 00:43:28,510
+وماشي اتغير أيش فيه؟ما اتغير اش اش فيه، لا طوله
+
+580
+00:43:28,510 --> 00:43:32,090
+اتغير ولا اتجاهه اتغير، هجيت للمكان هناك والنصار
+
+581
+00:43:32,090 --> 00:43:35,210
+هناك، اتغير اشي؟ اذا الـVector ايه الأولاني
+
+582
+00:43:35,210 --> 00:43:39,570
+والـVector هذا متساوين، اذا هو ما زال حافظ على
+
+583
+00:43:39,570 --> 00:43:44,090
+مقداره وعلى اتجاهه، بغض النظر عن موضعه، بيظل هم
+
+584
+00:43:44,090 --> 00:43:51,540
+متساوين، دخلت المعلومة؟ تمام؟ ها Vectorوهذه الـ
+
+585
+00:43:51,540 --> 00:43:55,480
+vectors نجيز نجيز بالمصطرة نجيز تضع المصطر الطول
+
+586
+00:43:55,480 --> 00:43:58,140
+نبين الناس الاتجاه ولا لا؟ إذا ساعتها بقوله
+
+587
+00:43:58,140 --> 00:44:02,180
+متساويين، هذه الموضوع مختلفة A وB ليسوا ملازقين
+
+588
+00:44:02,180 --> 00:44:07,960
+بعض، بقدر أقول A بتساوي B لأنه بالمصطرة بالظبط نفس
+
+589
+00:44:07,960 --> 00:44:16,620
+المقدار، ومن لم يصدق يجيز تمام؟ هذه ايه؟ حلوبقدر
+
+590
+00:44:16,620 --> 00:44:20,940
+أقول بيساوي بعض؟ مبين A أكبر ولا لا؟ إذا بقدرش، مع
+
+591
+00:44:20,940 --> 00:44:24,620
+أنه نفس الاتجاه، دير بالكم، نفس الاتجاه، لكن لا
+
+592
+00:44:24,620 --> 00:44:30,100
+يتساوي، لأن المقدر مش متساوي، فبقول A أكبر من C، A
+
+593
+00:44:30,100 --> 00:44:37,380
+أكبر من C، مبين، بدا شطارة؟ مبينة، هاي إيه؟ إيش
+
+594
+00:44:37,380 --> 00:44:42,920
+هدول؟ والله نفس الطول، نفس الطول، لكن بيساوي؟ لأ،
+
+595
+00:44:42,920 --> 00:44:46,390
+هدول عكس بعض، بقول A بيساوي سالب Pعشان عكس بعيد
+
+596
+00:44:46,390 --> 00:44:52,890
+فشرط السلب لما تدخل على ال vector بتحكي عكس فهيهم
+
+597
+00:44:52,890 --> 00:44:55,610
+دول نفس الطول لكن بيسويوش بعيد واحد بيسوي السلب
+
+598
+00:44:55,610 --> 00:45:01,650
+تبعه فبقول a بيسوي minus b a equal minus b
+
+599
+00:45:07,510 --> 00:45:11,210
+كف في اليوم مواضيع لسه سهلة يعني لسه مااخدناش حاجة
+
+600
+00:45:11,210 --> 00:45:14,510
+نروح ندرسها و لسه مااخدناش مسائل نروح نحل عليها
+
+601
+00:45:14,510 --> 00:45:17,850
+واحدة واحدة بنسخن واحدة واحدة ياطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/p3cuiqvYT7Y_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/p3cuiqvYT7Y_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a725f89d25bed2aac75e2441b114e1d63bf730cd
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/p3cuiqvYT7Y_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4150, "start": 20.92, "end": 41.5, "text": "بسم الله و هنبدأ ب .. او نستكمل ال projectile motion بدنا .. حكينا ان ال projectile motion هي مجموع حركتين حركة أفقية بسرعة ثابتة و حركة عمودية بتسارع الجاذبية الأرضية وبالتالي عشان نحل ال projectile motions", "tokens": [3555, 38251, 21984, 4032, 8032, 1863, 44510, 10721, 4724, 4386, 1975, 2407, 8717, 14851, 24793, 1211, 2423, 1716, 794, 5394, 47525, 8315, 4386, 11331, 4117, 1829, 8315, 16472, 2423, 1716, 794, 5394, 39896, 3714, 7435, 2304, 45367, 11331, 31747, 2655, 9957, 11331, 31747, 3660, 5551, 5172, 4587, 10632, 4724, 3794, 2288, 27884, 38637, 16758, 2655, 3660, 4032, 11331, 31747, 3660, 6225, 2304, 23328, 10632, 39894, 3794, 9640, 3615, 25724, 45636, 3555, 10632, 16247, 43042, 10632, 46599, 6027, 2655, 6027, 1829, 6225, 8592, 7649, 8717, 5016, 1211, 2423, 1716, 794, 27500], "avg_logprob": -0.14998283523779649, "compression_ratio": 1.7379679144385027, "no_speech_prob": 5.960464477539063e-08, "words": 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42.1, "end": 63.72, "text": "كلها أول حاجة المعطيات تبعتنا بنحاول نجسمها إلى صينية وصادية وبعدين بنتطلع على المطاليب عندنا وبنروح القوانين اللي باتجاه الصيني والقوانين اللي باتجاه الصادي وبنشتغل عليها كان أول مثال عندي وهو المثال العام اللي انتوا خدتوه في المدرسة عبارة عن قوانين اللي هو المدى", "tokens": [28820, 11296, 5551, 12610, 11331, 26108, 3660, 9673, 3615, 9566, 1829, 9307, 6055, 3555, 34268, 8315, 44945, 5016, 995, 12610, 8717, 7435, 38251, 11296, 30731, 20328, 9957, 10632, 4032, 9381, 18513, 10632, 46599, 22488, 9957, 44945, 2655, 9566, 1211, 3615, 15844, 9673, 9566, 6027, 1829, 3555, 43242, 8315, 46599, 1863, 32887, 5016, 25062, 2407, 7649, 9957, 13672, 1829, 4724, 9307, 7435, 40294, 31767, 9957, 1829, 16070, 4587, 2407, 7649, 9957, 13672, 1829, 4724, 9307, 7435, 40294, 31767, 18513, 1829, 46599, 1863, 8592, 2655, 17082, 1211, 25894, 11296, 25961, 5551, 12610, 50113, 6027, 18871, 16254, 37037, 2407, 9673, 12984, 6027, 18863, 10943, 13672, 1829, 16472, 2655, 14407, 16490, 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13766, "start": 131.02, "end": 137.66, "text": "اللي هو X بيساوي V0 X في T تمام؟ وبالتالي غصب عني لازم أجيبي الزمن", "tokens": [6027, 20292, 31439, 1783, 4724, 1829, 3794, 995, 45865, 691, 15, 1783, 8978, 314, 46811, 10943, 22807, 46599, 6027, 2655, 6027, 1829, 32771, 9381, 3555, 18871, 1829, 5296, 31377, 2304, 5551, 7435, 1829, 21292, 6024, 110, 27842], "avg_logprob": -0.24239308818390495, "compression_ratio": 1.1894736842105262, "no_speech_prob": 0.0, "words": [{"start": 131.02, "end": 131.26, "word": "اللي", "probability": 0.59326171875}, {"start": 131.26, "end": 131.4, "word": " هو", "probability": 0.93505859375}, {"start": 131.4, "end": 131.7, "word": " X", "probability": 0.8251953125}, {"start": 131.7, "end": 132.32, "word": " بيساوي", "probability": 0.5261962890625}, {"start": 132.32, "end": 132.88, "word": " V0", "probability": 0.5579833984375}, {"start": 132.88, "end": 133.46, "word": " X", "probability": 0.337890625}, {"start": 133.46, "end": 133.66, "word": " في", 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العمودية Zero صحيح ولا لأ؟ وبالتالي اشتغلت من هذا المنطلق من هذا القانون وهو بالاتجاه الصاضي عشان أجيب الزمن", "tokens": [2304, 1829, 11622, 3660, 13672, 1829, 3714, 29245, 23328, 3660, 6024, 48506, 36145, 6024, 110, 27842, 31439, 8717, 36178, 3224, 6055, 3555, 3615, 31767, 9957, 31439, 8717, 36178, 3224, 6055, 3555, 3615, 31767, 46958, 1829, 20666, 2288, 17082, 2304, 36145, 3224, 3714, 29245, 23328, 12174, 7649, 11536, 36764, 24401, 20666, 9307, 7435, 40294, 31767, 9957, 1829, 30731, 36145, 4724, 28814, 2304, 41361, 1829, 5551, 14851, 3615, 13546, 3224, 9154, 25062, 2407, 7649, 9957, 31767, 46958, 10632, 18871, 16254, 20449, 1211, 20498, 3660, 36145, 3224, 5296, 15042, 25724, 38251, 7251, 9566, 1211, 3615, 9154, 8717, 47432, 3660, 34051, 7251, 47341, 3615, 5296, 1863, 47432, 3660, 33688, 11622, 39319, 18863, 2304, 23328, 10632, 17182, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 46599, 6027, 2655, 6027, 1829, 1975, 8592, 2655, 17082, 1211, 2655, 9154, 23758, 9673, 1863, 9566, 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{"start": 324.07, "end": 324.87, "word": " تنتين", "probability": 0.770751953125}, {"start": 324.87, "end": 325.01, "word": " تنتين", "probability": 0.8714192708333334}, {"start": 325.01, "end": 325.21, "word": " تنتين", "probability": 0.6975504557291666}, {"start": 325.21, "end": 325.21, "word": " تنتين", "probability": 0.823486328125}, {"start": 325.21, "end": 325.21, "word": " تنتين", "probability": 0.9527994791666666}, {"start": 325.21, "end": 325.25, "word": " تنتين", "probability": 0.98095703125}, {"start": 325.25, "end": 325.25, "word": " تنتين", "probability": 0.9879557291666666}, {"start": 325.25, "end": 325.35, "word": " تنتين", "probability": 0.990234375}, {"start": 325.35, "end": 325.35, "word": " تنتين", "probability": 0.9912109375}, {"start": 325.35, "end": 325.41, "word": " تنتين", "probability": 0.9913736979166666}, {"start": 325.41, "end": 325.41, "word": " تنتين", "probability": 0.9913736979166666}, {"start": 325.41, "end": 325.41, "word": " تنتين", "probability": 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تنتين", "probability": 0.9827473958333334}, {"start": 327.29, "end": 327.29, "word": " تنتين", "probability": 0.9817708333333334}, {"start": 327.29, "end": 327.29, "word": " تنتين", "probability": 0.9817708333333334}, {"start": 327.29, "end": 327.55, "word": " تنتين", "probability": 0.98046875}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.97998046875}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9791666666666666}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9791666666666666}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9788411458333334}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9777018229166666}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9778645833333334}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9778645833333334}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9755859375}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9755859375}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.97705078125}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9752604166666666}, {"start": 327.55, "end": 327.55, "word": " تنتين", "probability": 0.9747721354166666}, {"start": 327.55, "end": 329.73, "word": " تنتين", "probability": 0.97216796875}, {"start": 329.73, "end": 331.55, "word": " تنتين", "probability": 0.9676106770833334}], "temperature": 1.0}, {"id": 15, "seek": 34032, "start": 332.42, "end": 340.32, "text": "كيف بنحل؟ أول حاجة بدي أشوف معطياتي أجسمها لنصين المعطة اللي عندي الصورة الإبتدائية 25 سنية ولا صادية هذه؟", "tokens": [4117, 33911, 44945, 5016, 1211, 22807, 5551, 12610, 11331, 26108, 3660, 4724, 16254, 5551, 8592, 38688, 20449, 9566, 1829, 9307, 1829, 5551, 7435, 38251, 11296, 5296, 1863, 9381, 9957, 9673, 3615, 9566, 3660, 13672, 1829, 18871, 16254, 31767, 13063, 3660, 33688, 3555, 2655, 3215, 16373, 10632, 3552, 8608, 1863, 10632, 49429, 20328, 18513, 10632, 29538, 22807], "avg_logprob": -0.25890899541085227, "compression_ratio": 1.443609022556391, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 332.42, "end": 332.68, "word": "كيف", "probability": 0.823486328125}, {"start": 332.68, "end": 333.26, "word": " بنحل؟", "probability": 0.850830078125}, {"start": 333.26, "end": 333.8, "word": " أول", "probability": 0.921875}, {"start": 333.8, "end": 333.98, "word": " حاجة", "probability": 0.9471028645833334}, {"start": 333.98, "end": 334.1, "word": " بدي", "probability": 0.406494140625}, {"start": 334.1, "end": 334.26, "word": " أشوف", "probability": 0.9173177083333334}, {"start": 334.26, "end": 334.88, "word": " معطياتي", "probability": 0.89482421875}, {"start": 334.88, "end": 335.52, "word": " أجسمها", "probability": 0.8028564453125}, {"start": 335.52, "end": 336.08, "word": " لنصين", "probability": 0.813720703125}, {"start": 336.08, "end": 337.06, "word": " المعطة", "probability": 0.708740234375}, {"start": 337.06, "end": 337.14, "word": " اللي", "probability": 0.906982421875}, {"start": 337.14, "end": 337.48, "word": " عندي", "probability": 0.8212890625}, {"start": 337.48, "end": 337.86, "word": " الصورة", "probability": 0.5930989583333334}, {"start": 337.86, "end": 338.32, "word": " الإبتدائية", "probability": 0.8779703776041666}, {"start": 338.32, "end": 338.72, "word": " 25", "probability": 0.798828125}, {"start": 338.72, "end": 339.58, "word": " سنية", "probability": 0.9015299479166666}, {"start": 339.58, "end": 339.7, "word": " ولا", "probability": 0.89697265625}, {"start": 339.7, "end": 340.06, "word": " صادية", "probability": 0.74951171875}, {"start": 340.06, "end": 340.32, "word": " هذه؟", "probability": 0.5751953125}], "temperature": 1.0}, {"id": 16, "seek": 36949, "start": 341.01, "end": 369.49, "text": "براو علينا بدنا نحللها إذا أول خطوة بتدصروا عليها ابتدائية جسمها لسنية وساضية إذا على طول بقول Reserving حلل the initial velocity into its components we get V0 X بتسوي V0 Cos الزاوية صح ولا لأ؟ V0 37 Cos 37 بديبها من ال calculator اللي هي 0.8 تطلع عشرين متر per second نفس القضية V0 Y", "tokens": [3555, 23557, 2407, 25894, 8315, 47525, 8315, 8717, 5016, 1211, 1211, 11296, 11933, 15730, 5551, 12610, 16490, 9566, 2407, 3660, 39894, 3215, 9381, 2288, 14407, 25894, 11296, 48127, 2655, 3215, 16373, 10632, 10874, 38251, 11296, 5296, 3794, 1863, 10632, 46952, 46958, 10632, 11933, 15730, 15844, 23032, 12610, 4724, 39648, 5015, 20186, 11331, 1211, 1211, 264, 5883, 9269, 666, 1080, 6677, 321, 483, 691, 15, 1783, 39894, 3794, 45865, 691, 15, 15855, 6024, 110, 995, 2407, 10632, 20328, 5016, 49429, 5296, 10721, 22807, 691, 15, 13435, 15855, 13435, 4724, 16254, 3555, 11296, 9154, 2423, 24993, 13672, 1829, 39896, 1958, 13, 23, 6055, 9566, 1211, 3615, 6225, 46309, 9957, 44650, 2288, 680, 1150, 8717, 36178, 25062, 11242, 10632, 691, 15, 398], "avg_logprob": -0.27161457637945813, "compression_ratio": 1.49645390070922, "no_speech_prob": 0.0, "words": 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0.73809814453125}, {"start": 346.35, "end": 347.39, "word": " وساضية", "probability": 0.740478515625}, {"start": 347.39, "end": 348.13, "word": " إذا", "probability": 0.6468505859375}, {"start": 348.13, "end": 348.87, "word": " على", "probability": 0.77587890625}, {"start": 348.87, "end": 349.09, "word": " طول", "probability": 0.983642578125}, {"start": 349.09, "end": 349.37, "word": " بقول", "probability": 0.9169921875}, {"start": 349.37, "end": 350.33, "word": " Reserving", "probability": 0.493896484375}, {"start": 350.33, "end": 351.27, "word": " حلل", "probability": 0.876953125}, {"start": 351.27, "end": 351.85, "word": " the", "probability": 0.12353515625}, {"start": 351.85, "end": 352.33, "word": " initial", "probability": 0.8857421875}, {"start": 352.33, "end": 352.87, "word": " velocity", "probability": 0.82275390625}, {"start": 352.87, "end": 353.35, "word": " into", "probability": 0.81201171875}, {"start": 353.35, "end": 353.77, "word": " its", "probability": 0.8173828125}, {"start": 353.77, "end": 354.57, "word": " components", "probability": 0.90087890625}, {"start": 354.57, "end": 354.89, "word": " we", "probability": 0.5986328125}, {"start": 354.89, "end": 355.29, "word": " get", "probability": 0.95751953125}, {"start": 355.29, "end": 356.61, "word": " V0", "probability": 0.63916015625}, {"start": 356.61, "end": 357.43, "word": " X", "probability": 0.7548828125}, {"start": 357.43, "end": 358.23, "word": " بتسوي", "probability": 0.6184895833333334}, {"start": 358.23, "end": 358.55, "word": " V0", "probability": 0.89013671875}, {"start": 358.55, "end": 358.75, "word": " Cos", "probability": 0.69189453125}, {"start": 358.75, "end": 359.37, "word": " الزاوية", "probability": 0.91435546875}, {"start": 359.37, "end": 359.61, "word": " صح", "probability": 0.941650390625}, {"start": 359.61, "end": 359.77, "word": " ولا", "probability": 0.9580078125}, {"start": 359.77, "end": 360.49, "word": " لأ؟", "probability": 0.7213541666666666}, {"start": 360.49, "end": 360.79, "word": " V0", "probability": 0.9033203125}, {"start": 360.79, "end": 361.35, "word": " 37", "probability": 0.55615234375}, {"start": 361.35, "end": 361.63, "word": " Cos", "probability": 0.32373046875}, {"start": 361.63, "end": 362.35, "word": " 37", "probability": 0.9326171875}, {"start": 362.35, "end": 362.69, "word": " بديبها", "probability": 0.8255615234375}, {"start": 362.69, "end": 362.77, "word": " من", "probability": 0.99462890625}, {"start": 362.77, "end": 362.89, "word": " ال", "probability": 0.83984375}, {"start": 362.89, "end": 363.29, "word": " calculator", "probability": 0.2313232421875}, {"start": 363.29, "end": 363.83, "word": " اللي", "probability": 0.81494140625}, {"start": 363.83, "end": 363.93, "word": " هي", "probability": 0.6123046875}, {"start": 363.93, "end": 364.11, "word": " 0", "probability": 0.76953125}, {"start": 364.11, "end": 364.77, "word": ".8", "probability": 0.986328125}, {"start": 364.77, "end": 365.33, "word": " تطلع", "probability": 0.9437255859375}, {"start": 365.33, "end": 365.71, "word": " عشرين", "probability": 0.6756184895833334}, {"start": 365.71, "end": 366.11, "word": " متر", "probability": 0.976806640625}, {"start": 366.11, "end": 366.51, "word": " per", "probability": 0.8525390625}, {"start": 366.51, "end": 367.27, "word": " second", "probability": 0.93896484375}, {"start": 367.27, "end": 368.11, "word": " نفس", "probability": 0.974853515625}, {"start": 368.11, "end": 368.69, "word": " القضية", "probability": 0.9884440104166666}, {"start": 368.69, "end": 369.19, "word": " V0", "probability": 0.980224609375}, {"start": 369.19, "end": 369.49, "word": " Y", "probability": 0.62451171875}], "temperature": 1.0}, {"id": 17, "seek": 39327, "start": 370.27, "end": 393.27, "text": "بتساوي ذنوب صين الـθيكا ويقل 25 sin 37 ويقل 15 متر per second طبعا الزاوية 37 والزاوية 53 من الزاوية الخاصة تقتبر زي 30 و60 لأنه cos 37 هي 18 وsin 16 من ال calculator بتجيبوها تقريبا فعشان كده بتلاقوا هذه الرقم هيتكرر في الكتاب في الأسئلة", "tokens": [3555, 2655, 3794, 995, 45865, 29910, 1863, 37746, 20328, 9957, 2423, 39184, 9440, 1829, 4117, 995, 4032, 1829, 4587, 1211, 3552, 3343, 13435, 4032, 1829, 4587, 1211, 2119, 44650, 2288, 680, 1150, 23032, 3555, 3615, 995, 6024, 110, 995, 2407, 10632, 13435, 16070, 11622, 995, 2407, 10632, 21860, 9154, 6024, 110, 995, 2407, 10632, 33962, 33546, 3660, 6055, 38149, 26890, 30767, 1829, 2217, 4032, 4550, 5296, 33456, 3224, 3792, 13435, 39896, 2443, 4032, 19767, 3165, 9154, 2423, 24993, 39894, 7435, 1829, 3555, 2407, 11296, 6055, 4587, 16572, 3555, 995, 6156, 3615, 8592, 7649, 9122, 3215, 3224, 39894, 15040, 4587, 14407, 29538, 34892, 4587, 2304, 8032, 36081, 37983, 2288, 8978, 33251, 2655, 16758, 8978, 16247, 3794, 19986, 37977], "avg_logprob": -0.313824157846176, "compression_ratio": 1.5720164609053497, "no_speech_prob": 0.0, "words": [{"start": 370.27, "end": 370.83, "word": "بتساوي", "probability": 0.72578125}, {"start": 370.83, "end": 371.41, "word": " ذنوب", 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تفهمه ولا لا؟ حلو الآن التسرع إيش تعريفه؟ معدل تغير إيش بالنسبة لإيش؟ سرعة بالنسبة للزمن يعني لو السرعة ثابتة في تسارع؟ لا الآن هم بيقولي ال speed ثابتة ليه؟ لأ في تسارع", "tokens": [6027, 2407, 11242, 3615, 7251, 38251, 7578, 8978, 23758, 21542, 6027, 3660, 11331, 31747, 3660, 11778, 16373, 2288, 10632, 9154, 2655, 19913, 46007, 6225, 8592, 7649, 2423, 39184, 3073, 3714, 6027, 3224, 38637, 16758, 2655, 3660, 6055, 5172, 16095, 3224, 49429, 20193, 22807, 11331, 1211, 2407, 6024, 48506, 16712, 3794, 2288, 3615, 11933, 1829, 8592, 37279, 16572, 5172, 3224, 22807, 20449, 3215, 1211, 6055, 17082, 13546, 11933, 1829, 8592, 20666, 1863, 35457, 3660, 5296, 28814, 1829, 8592, 22807, 8608, 2288, 27884, 20666, 1863, 35457, 3660, 24976, 11622, 27842, 37495, 22653, 45164, 21136, 2288, 27884, 38637, 16758, 2655, 3660, 8978, 6055, 3794, 9640, 3615, 22807, 20193, 6024, 48506, 8032, 2304, 4724, 1829, 39648, 1829, 2423, 3073, 38637, 16758, 2655, 3660, 32239, 3224, 22807, 5296, 10721, 8978, 6055, 3794, 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2408.62, "end": 2409.16, "word": " بتفرجش", "probability": 0.7713623046875}, {"start": 2409.16, "end": 2409.58, "word": " كتير", "probability": 0.9523111979166666}, {"start": 2409.58, "end": 2410.5, "word": " معانا", "probability": 0.9632161458333334}, {"start": 2410.5, "end": 2411.68, "word": " تمام؟", "probability": 0.8074544270833334}, {"start": 2411.68, "end": 2411.78, "word": " في", "probability": 0.68701171875}, {"start": 2411.78, "end": 2411.96, "word": " اي", "probability": 0.7301025390625}, {"start": 2411.96, "end": 2412.38, "word": " استفسار", "probability": 0.7401123046875}, {"start": 2412.38, "end": 2412.44, "word": " يا", "probability": 0.9189453125}, {"start": 2412.44, "end": 2412.98, "word": " بنات؟", "probability": 0.7957763671875}, {"start": 2412.98, "end": 2413.72, "word": " ده", "probability": 0.776611328125}, {"start": 2413.72, "end": 2414.22, "word": " الحركة", "probability": 0.94091796875}, {"start": 2414.22, "end": 2414.86, "word": " الدائرية", "probability": 0.992431640625}, {"start": 2414.86, "end": 2415.62, "word": " بيبقى", "probability": 0.621728515625}, {"start": 2415.62, "end": 2416.06, "word": " ناخدها", "probability": 0.7042236328125}, {"start": 2416.06, "end": 2416.44, "word": " دقيقتين", "probability": 0.8662109375}, {"start": 2416.44, "end": 2416.54, "word": " اللي", "probability": 0.82568359375}, {"start": 2416.54, "end": 2416.78, "word": " ضالين", "probability": 0.7469075520833334}, {"start": 2416.78, "end": 2417.14, "word": " معانا", "probability": 0.93603515625}], "temperature": 1.0}, {"id": 102, "seek": 244514, "start": 2418.56, "end": 2445.14, "text": "ماحنا ماشيين يعني هو ال gate ازورته بالجيكتين يا الله عليكم ماحنا خسرنا خمسين دقيقة ماشيين الجيكتين بيزوركم تمام الموضوع هذا مر علينا ايش اسمها الحركة النسبية ذاكرين شرحتها بس شرحتها بال one dimension المرة هذه بدأوش اشرحها في ال two dimensions تمام هذا الموضوع هكرره", "tokens": [15042, 5016, 8315, 3714, 33599, 1829, 9957, 37495, 22653, 31439, 2423, 8539, 1975, 11622, 13063, 47395, 20666, 7435, 1829, 4117, 2655, 9957, 35186, 21984, 25894, 24793, 19446, 5016, 8315, 16490, 3794, 2288, 8315, 16490, 2304, 3794, 9957, 11778, 38436, 28671, 3714, 33599, 1829, 9957, 25724, 1829, 4117, 2655, 9957, 4724, 1829, 11622, 13063, 24793, 46811, 10943, 9673, 2407, 11242, 45367, 23758, 3714, 2288, 25894, 8315, 1975, 1829, 8592, 24525, 2304, 11296, 21542, 31747, 3660, 28239, 35457, 10632, 29910, 995, 37983, 9957, 13412, 2288, 33753, 11296, 4724, 3794, 13412, 2288, 33753, 11296, 20666, 472, 10139, 9673, 25720, 29538, 47525, 10721, 2407, 8592, 1975, 46309, 5016, 11296, 8978, 2423, 732, 12819, 46811, 10943, 23758, 9673, 2407, 11242, 45367, 8032, 37983, 2288, 3224], "avg_logprob": -0.2640754033711331, "compression_ratio": 1.9742489270386265, "no_speech_prob": 0.0, "words": [{"start": 2418.56, "end": 2418.92, "word": "ماحنا", "probability": 0.6257731119791666}, {"start": 2418.92, "end": 2419.5, "word": " ماشيين", "probability": 0.6876220703125}, {"start": 2419.5, "end": 2419.62, "word": " يعني", "probability": 0.6842041015625}, {"start": 2419.62, "end": 2419.82, "word": " هو", "probability": 0.8857421875}, {"start": 2419.82, "end": 2420.02, "word": " ال", "probability": 0.464111328125}, {"start": 2420.02, "end": 2420.3, "word": " gate", "probability": 0.68994140625}, {"start": 2420.3, "end": 2420.96, "word": " ازورته", "probability": 0.70654296875}, {"start": 2420.96, "end": 2421.68, "word": " بالجيكتين", "probability": 0.5688883463541666}, {"start": 2421.68, "end": 2422.28, "word": " يا", "probability": 0.4423828125}, {"start": 2422.28, "end": 2422.52, "word": " الله", "probability": 0.91748046875}, {"start": 2422.52, "end": 2422.9, "word": " عليكم", "probability": 0.908203125}, {"start": 2422.9, "end": 2423.14, "word": " ماحنا", "probability": 0.8084309895833334}, {"start": 2423.14, "end": 2423.48, "word": " خسرنا", "probability": 0.749755859375}, {"start": 2423.48, "end": 2423.76, "word": " خمسين", "probability": 0.850830078125}, {"start": 2423.76, "end": 2424.02, "word": " دقيقة", "probability": 0.8870442708333334}, {"start": 2424.02, "end": 2424.58, "word": " ماشيين", "probability": 0.855712890625}, {"start": 2424.58, "end": 2425.32, "word": " الجيكتين", "probability": 0.881005859375}, {"start": 2425.32, "end": 2426.1, "word": " بيزوركم", "probability": 0.768310546875}, {"start": 2426.1, "end": 2427.36, "word": " تمام", "probability": 0.7340087890625}, {"start": 2427.36, "end": 2430.48, "word": " الموضوع", "probability": 0.9830322265625}, {"start": 2430.48, "end": 2430.76, "word": " هذا", "probability": 0.280029296875}, {"start": 2430.76, "end": 2431.14, "word": " مر", "probability": 0.912353515625}, {"start": 2431.14, "end": 2431.6, "word": " علينا", "probability": 0.913330078125}, {"start": 2431.6, "end": 2432.26, "word": " ايش", "probability": 0.7215169270833334}, {"start": 2432.26, "end": 2432.68, "word": " اسمها", "probability": 0.9308268229166666}, {"start": 2432.68, "end": 2434.08, "word": " الحركة", "probability": 0.7650553385416666}, {"start": 2434.08, "end": 2435.48, "word": " النسبية", "probability": 0.8899739583333334}, {"start": 2435.48, "end": 2436.4, "word": " ذاكرين", "probability": 0.833740234375}, {"start": 2436.4, "end": 2437.06, "word": " شرحتها", "probability": 0.872314453125}, {"start": 2437.06, "end": 2437.56, "word": " بس", "probability": 0.947509765625}, {"start": 2437.56, "end": 2437.94, "word": " شرحتها", "probability": 0.9854736328125}, {"start": 2437.94, "end": 2438.06, "word": " بال", "probability": 0.86474609375}, {"start": 2438.06, "end": 2438.28, "word": " one", "probability": 0.8125}, {"start": 2438.28, "end": 2438.84, "word": " dimension", "probability": 0.84130859375}, {"start": 2438.84, "end": 2439.92, "word": " المرة", "probability": 0.927001953125}, {"start": 2439.92, "end": 2440.14, "word": " هذه", "probability": 0.7001953125}, {"start": 2440.14, "end": 2440.5, "word": " بدأوش", "probability": 0.4483642578125}, {"start": 2440.5, "end": 2440.82, "word": " اشرحها", "probability": 0.918701171875}, {"start": 2440.82, "end": 2440.94, "word": " في", "probability": 0.884765625}, {"start": 2440.94, "end": 2441.0, "word": " ال", "probability": 0.90771484375}, {"start": 2441.0, "end": 2441.1, "word": " two", "probability": 0.91845703125}, {"start": 2441.1, "end": 2441.78, "word": " dimensions", "probability": 0.84912109375}, {"start": 2441.78, "end": 2442.7, "word": " تمام", "probability": 0.857421875}, {"start": 2442.7, "end": 2443.74, "word": " هذا", "probability": 0.935546875}, {"start": 2443.74, "end": 2444.26, "word": " الموضوع", "probability": 0.99755859375}, {"start": 2444.26, "end": 2445.14, "word": " هكرره", "probability": 0.9205322265625}], "temperature": 1.0}, {"id": 103, "seek": 244846, "start": 2446.18, "end": 2448.46, "text": "إن شاء الله المرة الجاية", "tokens": [28814, 1863, 13412, 16606, 21984, 9673, 25720, 25724, 995, 10632], "avg_logprob": -0.1302379234270616, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 2446.18, "end": 2446.46, "word": "إن", "probability": 0.676513671875}, {"start": 2446.46, "end": 2446.64, "word": " شاء", "probability": 0.991455078125}, {"start": 2446.64, "end": 2446.92, "word": " الله", "probability": 0.96142578125}, {"start": 2446.92, "end": 2447.64, "word": " المرة", "probability": 0.91748046875}, {"start": 2447.64, "end": 2448.46, "word": " الجاية", "probability": 0.9031575520833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2449.75175, "duration_after_vad": 2378.006249999993}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/p3cuiqvYT7Y_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/p3cuiqvYT7Y_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..65be37b3e115f8eb9f58e13eef38e8618fc55016
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/p3cuiqvYT7Y_raw.srt
@@ -0,0 +1,2189 @@
+1
+00:00:20,920 --> 00:00:25,080
+بسم الله و هنبدأ ب .. او نستكمل ال projectile
+
+2
+00:00:25,080 --> 00:00:29,360
+motion بدنا .. حكينا ان ال projectile motion هي
+
+3
+00:00:29,360 --> 00:00:35,860
+مجموع حركتين حركة أفقية بسرعة ثابتة و حركة عمودية
+
+4
+00:00:35,860 --> 00:00:40,420
+بتسارع الجاذبية الأرضية وبالتالي عشان نحل ال
+
+5
+00:00:40,420 --> 00:00:44,680
+projectile motionsكلها أول حاجة المعطيات تبعتنا
+
+6
+00:00:44,680 --> 00:00:49,860
+بنحاول نجسمها إلى صينية وصادية وبعدين بنتطلع على
+
+7
+00:00:49,860 --> 00:00:54,080
+المطاليب عندنا وبنروح القوانين اللي باتجاه الصيني
+
+8
+00:00:54,080 --> 00:00:57,680
+والقوانين اللي باتجاه الصادي وبنشتغل عليها كان أول
+
+9
+00:00:57,680 --> 00:01:01,180
+مثال عندي وهو المثال العام اللي انتوا خدتوه في
+
+10
+00:01:01,180 --> 00:01:04,450
+المدرسة عبارة عن قوانين اللي هو المدىوأقصى
+
+11
+00:01:04,450 --> 00:01:07,010
+الارتفاع، هذه بالنسبالي ان احنا مش قوانين وعشان
+
+12
+00:01:07,010 --> 00:01:09,850
+كده بيبنياش نحفظها، يعني بيبنياش واحد يقول لي ما
+
+13
+00:01:09,850 --> 00:01:13,670
+هو المدى ونحفظ قانونه، المدى مالوش قانون، هذا
+
+14
+00:01:13,670 --> 00:01:17,510
+نتيجة مثال، ما انتوا شايفينه مثال، وبالتالي بدي
+
+15
+00:01:17,510 --> 00:01:20,510
+انا افهم كيف اجيبه، ال maximum height بدي اعرف كيف
+
+16
+00:01:20,510 --> 00:01:23,770
+اجيبه، ال time of flight أو زمن التحليق زي ما
+
+17
+00:01:23,770 --> 00:01:28,430
+بيسموها، برضه بدي اعرف كيف اجيبه، فكانفي عندي مثال
+
+18
+00:01:28,430 --> 00:01:33,310
+بسيط إنه أنا مخذوفة قذفتها بسرعة ابتدائية مقدارها
+
+19
+00:01:33,310 --> 00:01:39,510
+V0 بتعمل زاوية ثيتا مع الـ X Axis وكان طالب ليه ال
+
+20
+00:01:39,510 --> 00:01:42,430
+maximum height و ال range ال range اللي هو المدى
+
+21
+00:01:42,430 --> 00:01:45,730
+فأول حاجة عملتها روحت جسمة السرعة الابتدائية
+
+22
+00:01:45,730 --> 00:01:52,460
+المعطياتالى أفقية وعمودية مظبوط ولا لأ؟ وبعدين
+
+23
+00:01:52,460 --> 00:01:56,360
+قولت بما انه بده ال maximum height اتفقنا مع بعض
+
+24
+00:01:56,360 --> 00:01:59,740
+ان عند maximum height the y بتكون zero وبالتالي
+
+25
+00:01:59,740 --> 00:02:03,720
+استخدمت هذه العلاقة عشان اجيب ال maximum height
+
+26
+00:02:03,720 --> 00:02:07,880
+عشان اجيب ال range بأن القانون الوحيد اللي موجود
+
+27
+00:02:07,880 --> 00:02:13,940
+في الحركة الأفقية في زمناللي هو X بيساوي V0 X في T
+
+28
+00:02:13,940 --> 00:02:19,560
+تمام؟ وبالتالي غصب عني لازم أجيبي الزمنميزة اللي
+
+29
+00:02:19,560 --> 00:02:24,100
+موجودة الآن إن الزمن هو نفسه تبع الصين هو نفسه تبع
+
+30
+00:02:24,100 --> 00:02:27,600
+الصاضي بالرغم إنه موجود قانون واحد بالاتجاه الصيني
+
+31
+00:02:27,600 --> 00:02:32,360
+إلى إن بإمكاني أستعيره من القوانين الصاضية عندي
+
+32
+00:02:32,360 --> 00:02:36,880
+معلومة إنه لما الجسم يطلع من نقطة أو يرجع لنقطة
+
+33
+00:02:36,880 --> 00:02:41,280
+الإزاح العمودية Zero صحيح ولا لأ؟ وبالتالي اشتغلت
+
+34
+00:02:41,280 --> 00:02:44,740
+من هذا المنطلق من هذا القانون وهو بالاتجاه الصاضي
+
+35
+00:02:44,740 --> 00:02:51,180
+عشان أجيب الزمنو بعد جهة كده روح اتعودت بـ X و هي
+
+36
+00:02:51,180 --> 00:02:55,640
+بتعطيني المسافة الأفقية عشان أطلع ال range فهذا هو
+
+37
+00:02:55,640 --> 00:03:00,520
+القانون تبع ال range أو ال formula تبع ال range
+
+38
+00:03:00,520 --> 00:03:03,240
+وبالتالي في عند ال range و في عند maximum height
+
+39
+00:03:03,280 --> 00:03:06,180
+هدول مش قوانين مش مطلوب مني أحفظهم مطلوب مني أعرف
+
+40
+00:03:06,180 --> 00:03:10,740
+أشتقهم أه ممكن بأرقام ممكن بدون أرقام كل واحد لكن
+
+41
+00:03:10,740 --> 00:03:15,300
+في النهاية مثال عشان نتعلم كيف نتعامل معاه المثال
+
+42
+00:03:15,300 --> 00:03:19,020
+الذي يليه مباشرة بيقول لي الأن بدي يديني أرقام
+
+43
+00:03:19,020 --> 00:03:23,000
+أبول is a throne from the top of a building thirty
+
+44
+00:03:23,000 --> 00:03:26,660
+meters in height بيقول لي في كرة بيدخلفها من سطح
+
+45
+00:03:26,660 --> 00:03:30,840
+مبنى هذه المبنى ارتفاعه تلاتة متر أكم طابق حوالي
+
+46
+00:03:32,320 --> 00:03:38,000
+أكم طابق؟ حوالي عشرة اتعلم تمام؟ عشر طوابق تمام if
+
+47
+00:03:38,000 --> 00:03:40,920
+the ball is thrown upward with a speed of 25 meter
+
+48
+00:03:40,920 --> 00:03:45,620
+per second that making an angle of 37 degree with
+
+49
+00:03:45,620 --> 00:03:49,380
+the horizontal اذا انا قذفته بالسبيل مقدارها 25
+
+50
+00:03:49,380 --> 00:03:53,940
+meter per second بدي ال V0 والزاوية اللي بعملها 37
+
+51
+00:03:53,940 --> 00:03:58,380
+درجة مع الأفق تمام what is the time of the flight؟
+
+52
+00:03:58,380 --> 00:04:03,380
+بده زمان التحليق كله زمان الطيرانWhere does the
+
+53
+00:04:03,380 --> 00:04:06,120
+ball hit the ground؟ لمّا يجي ضرب المبنى وين
+
+54
+00:04:06,120 --> 00:04:10,080
+ضربها؟ عند أي نقطة؟ What is the speed of the ball
+
+55
+00:04:10,080 --> 00:04:15,050
+just before it hits the ground؟و إيه سرعة الكورة
+
+56
+00:04:15,050 --> 00:04:18,310
+أول ما خبطت الأرض؟ Just before hitting the ground
+
+57
+00:04:18,310 --> 00:04:24,790
+حكينا عنها لو يرسم زي المرة هذيك رسمنا المبنى هذا
+
+58
+00:04:24,790 --> 00:04:29,630
+هو المبنى و الارتفاعه تلاتين متر و هاي قذفته بهذا
+
+59
+00:04:29,630 --> 00:04:32,690
+الشكل المرة هذيك إذا في مثال سابق قذفته الأعلى إذا
+
+60
+00:04:32,690 --> 00:04:37,110
+كنتوا ذاكرين هذا لأ أما يالتهتمى، ميلته بزاوية
+
+61
+00:04:37,110 --> 00:04:42,050
+مقدرها 37 درجة وبالتالي الكورة هتمشي هيك واتصل
+
+62
+00:04:42,050 --> 00:04:47,310
+الأرض المطلوب بالأول بيديه الزمن الكلي صحيح ولا
+
+63
+00:04:47,310 --> 00:04:51,210
+لأ؟ زمن كل التحليق، كل الحركة المطلوب التاني
+
+64
+00:04:51,210 --> 00:04:54,510
+بيقولي وين ضربت؟ طبعا، في الآخر بيحتضر بالأرض، ولا
+
+65
+00:04:54,510 --> 00:04:58,750
+لأ؟ لو جيبت هذه المسافة، بكفي ولا لأ؟ أه، لأنه
+
+66
+00:04:58,750 --> 00:05:01,630
+قطعا ما هي معروفة، على الأرض، على الأرض، إذا بكفي
+
+67
+00:05:01,630 --> 00:05:08,230
+أجيب XX أقول والله ضربها على بعد كذا من حفة المبنى
+
+68
+00:05:08,230 --> 00:05:13,370
+بيكون أنا حددت وين ضرب ولا لأ؟ بيكفي بي .. سي ..
+
+69
+00:05:13,370 --> 00:05:15,850
+what is the speed؟ طبعا ال speed هو ال magnitude
+
+70
+00:05:15,850 --> 00:05:20,410
+تبع ال velocity صحيح ولا لأ؟ بأي speed الكرة ضربت
+
+71
+00:05:20,410 --> 00:05:24,870
+الأرض؟ طيب ال velocity هي كم مركبة بقيلها؟ تنتين
+
+72
+00:05:24,870 --> 00:05:25,350
+تنتين تنتين تنتين تنتين تنتين تنتين تنتين تنتين
+
+73
+00:05:25,350 --> 00:05:27,230
+تنتين تنتين تنتين تنتين تنتين تنتين تنتين تنتين
+
+74
+00:05:27,230 --> 00:05:27,290
+تنتين تنتين تنتين تنتين تنتين تنتين تنتين تنتين
+
+75
+00:05:27,290 --> 00:05:27,550
+تنتين تنتين تنتين تنتين تنتين تنتين تنتين تنتين
+
+76
+00:05:27,550 --> 00:05:32,680
+تنتين تنتين تنتين تنتين تنتين تنتين تنتين تنتينكيف
+
+77
+00:05:32,680 --> 00:05:36,080
+بنحل؟ أول حاجة بدي أشوف معطياتي أجسمها لنصين
+
+78
+00:05:36,080 --> 00:05:39,700
+المعطة اللي عندي الصورة الإبتدائية 25 سنية ولا
+
+79
+00:05:39,700 --> 00:05:44,130
+صادية هذه؟براو علينا بدنا نحللها إذا أول خطوة
+
+80
+00:05:44,130 --> 00:05:48,870
+بتدصروا عليها ابتدائية جسمها لسنية وساضية إذا على
+
+81
+00:05:48,870 --> 00:05:53,350
+طول بقول Reserving حلل the initial velocity into
+
+82
+00:05:53,350 --> 00:05:59,610
+its components we get V0 X بتسوي V0 Cos الزاوية صح
+
+83
+00:05:59,610 --> 00:06:03,830
+ولا لأ؟ V0 37 Cos 37 بديبها من ال calculator اللي
+
+84
+00:06:03,830 --> 00:06:09,490
+هي 0.8 تطلع عشرين متر per second نفس القضية V0 Y
+
+85
+00:06:10,270 --> 00:06:17,990
+بتساوي ذنوب صين الـθيكا ويقل 25 sin 37 ويقل 15 متر
+
+86
+00:06:17,990 --> 00:06:21,470
+per second طبعا الزاوية 37 والزاوية 53 من الزاوية
+
+87
+00:06:21,470 --> 00:06:27,710
+الخاصة تقتبر زي 30 و60 لأنه cos 37 هي 18 وsin 16
+
+88
+00:06:27,710 --> 00:06:30,450
+من ال calculator بتجيبوها تقريبا فعشان كده بتلاقوا
+
+89
+00:06:30,450 --> 00:06:34,410
+هذه الرقم هيتكرر في الكتاب في الأسئلةعشان sin و
+
+90
+00:06:34,410 --> 00:06:38,310
+cos سهلين يعني ممكن لو واحد لو نسي calculator بجلم
+
+91
+00:06:38,310 --> 00:06:41,370
+نصاص يجيب كل الحسابات بدون calculator إذا عندنا
+
+92
+00:06:41,370 --> 00:06:47,670
+الجلة دي نجيب و نضرب بالورق يعني تمام خلاص معطياتي
+
+93
+00:06:47,670 --> 00:06:50,770
+خلصوه طبعا أنا في عندي معطل هو التلاتين هذا مبين
+
+94
+00:06:50,770 --> 00:06:55,290
+بده .. بده شغل صيني ولا صاضي؟ صاضي صاضي ده معروف
+
+95
+00:06:55,290 --> 00:06:59,370
+ما هو المفهوم تمام برا عليكم عندما أشوف السلسل ه
+
+96
+00:06:59,370 --> 00:07:02,630
+get to find T في الأول بده زمن الزمن صيني ولا
+
+97
+00:07:02,630 --> 00:07:07,890
+صاضي؟إذا أنا حر صح ولا لأ؟ لو يتصفت قوانيني كمان
+
+98
+00:07:07,890 --> 00:07:15,330
+مرة X وY بقول X بيساوي نوع X في T، في غيرها؟ حلو،
+
+99
+00:07:15,330 --> 00:07:17,410
+عشان أجيب .. أنا بقولي بصحي الله أجيب T من هنا،
+
+100
+00:07:17,410 --> 00:07:22,290
+بقولي بصحي الله، لكن هل X عندي؟لأ، طيب، ماظبطش
+
+101
+00:07:22,290 --> 00:07:26,030
+هنا، بصحي اللي أجيبها منها؟ آه، في عندي Y، خلّيني
+
+102
+00:07:26,030 --> 00:07:31,190
+الأول، اللي هو VY equal V0 Y minus GT وعندي Y
+
+103
+00:07:31,190 --> 00:07:37,510
+بيسوء V0 Y في T minus half GT تربية و VY تربية
+
+104
+00:07:37,510 --> 00:07:43,690
+equal V0 Y تربية minus اتنين G Y صح ولا لأ؟ تمام،
+
+105
+00:07:43,690 --> 00:07:49,770
+هذا في زمن، صح؟ هذه السرعة النهائية، بعرفها؟مانا
+
+106
+00:07:49,770 --> 00:07:52,810
+مطلوبة في الـC أصلا مظبوطة ولا لأ؟ إذا أنا
+
+107
+00:07:52,810 --> 00:07:57,810
+ماعرفهاش نجي لـHan هذي بعرفه، هذي عرفتها وهذا
+
+108
+00:07:57,810 --> 00:08:01,370
+مطلوبة إذا بدي بشغل على هذه المعادلة لإن هان فيها
+
+109
+00:08:01,370 --> 00:08:05,750
+سرعة نهائية ماعرفهاش برضه إذا دي القانون الوحيد
+
+110
+00:08:05,750 --> 00:08:10,390
+اللي بيمكنني أجيب T بحيث إن كل المجيئين اللي هتكون
+
+111
+00:08:10,390 --> 00:08:14,290
+معطة هو هذا القانون اللي أنا انتوا و أزمرتكم حكيت
+
+112
+00:08:14,290 --> 00:08:21,010
+جدي شويةسالب تلاتين جد جديد زي السؤال اللي في free
+
+113
+00:08:21,010 --> 00:08:24,810
+falling ما هو هو سالب تلاتين ليش بقول من البداية
+
+114
+00:08:24,810 --> 00:08:29,870
+لنهاية كنا نازلين وبالتالي السالب معروف اذا بيقولي
+
+115
+00:08:29,870 --> 00:08:32,870
+انا استخدمت ما وجدتش القانون هذا المناسب بتهيألي
+
+116
+00:08:32,870 --> 00:08:35,650
+صار الواحد بعرف ايش المناسب وايش المش مناسب شغالة
+
+117
+00:08:35,650 --> 00:08:41,290
+سهلةمجهول وعندي معطيات بتعامل معاها جالي الآن حطيت
+
+118
+00:08:41,290 --> 00:08:45,650
+سالب تلاتين وإحنا مركزين وقلنا ممنوع حد يحط زائد
+
+119
+00:08:45,650 --> 00:08:49,470
+تلاتين لأنه بيطلع الجواب غلط أصلا تمام؟ وهذه مش
+
+120
+00:08:49,470 --> 00:08:52,270
+غلطة بسيطة تعتبر لإن أحنا بنكون صحيين وإحنا بنشتغل
+
+121
+00:08:52,270 --> 00:08:56,110
+سالب تلاتين، مينفعش زائد تلاتين السالب تلاتين مش
+
+122
+00:08:56,110 --> 00:09:00,950
+أخت التلاتين مش زي بعض، لأ تمام بالسوء they not
+
+123
+00:09:00,950 --> 00:09:06,540
+why وينها هيهامش احنا من أول عملناها 15T ناقص نص
+
+124
+00:09:06,540 --> 00:09:11,380
+الـG 4 أبون 9 لأنه الـG 9 أبون 8 نصها 4 أبون 9
+
+125
+00:09:11,380 --> 00:09:15,440
+طبعا هذه معادلة من الدرجة التانية صحيح؟ و بقدر
+
+126
+00:09:15,440 --> 00:09:18,760
+أحلها طبعا هذه السالب كنا بدنا نفهمها و احنا بنركز
+
+127
+00:09:18,760 --> 00:09:24,550
+عليها عشان بنسمح لحد يحط زائد 30تمام وهي محطوطة
+
+128
+00:09:24,550 --> 00:09:27,690
+طبعا الرقم غلط وكله بيكون واحد مش عارف اشي اللي
+
+129
+00:09:27,690 --> 00:09:32,570
+بيسوي هو كإنه جاعت بيعمل كلها scalars لا استفادة
+
+130
+00:09:32,570 --> 00:09:38,210
+من ال vectors ولا حاجة تمام المعادلة هذه بدها حل
+
+131
+00:09:38,210 --> 00:09:44,020
+.. ذاكرين القانون العام؟تمام اللي انتوا عارفينها A
+
+132
+00:09:44,020 --> 00:09:48,840
+X تربيع plus B X plus C بيساوي صفر إشحالها X
+
+133
+00:09:48,840 --> 00:09:52,980
+بيساوي minus B زاد أو ناقص الجزء التربيعي ل B
+
+134
+00:09:52,980 --> 00:09:59,460
+تربيع ناقص أربعة A C على اتنين هذا قانون موجود
+
+135
+00:09:59,460 --> 00:10:04,020
+وموجود في كل الكتب برضه اللي حافظوا حافظوا ولي مش
+
+136
+00:10:04,020 --> 00:10:08,660
+حافظوا بشحتهبس نعرف اللي بدي أكم نعرف إنه والله
+
+137
+00:10:08,660 --> 00:10:12,420
+هادي لأي معادلة من الدرجة التانية إذا ما عرضتش
+
+138
+00:10:12,420 --> 00:10:16,860
+أعملها بالانقص في أي قانون عام بيجيبها ولا لأ
+
+139
+00:10:16,860 --> 00:10:19,980
+وخدتوها في المدارس هجيت القانون حافظينه ولا مش
+
+140
+00:10:19,980 --> 00:10:24,880
+حافظينه مش جاذية بنحفظكم إياه أو بنشحتكم إياه خلنا
+
+141
+00:10:24,880 --> 00:10:30,920
+نقول بلاش بنحفظكم إياههذا استخدمته عشان أطلع هيطلع
+
+142
+00:10:30,920 --> 00:10:35,460
+عنكم غالبا زمانين مو يابو سالب و سالب .. و هذه
+
+143
+00:10:35,460 --> 00:10:41,000
+شغلة معروفة وبالتالي يا بنات ركنت على ال
+
+144
+00:10:41,000 --> 00:10:45,200
+calculator تبعتي استخدمت هذا القانون مش أكتر، في
+
+145
+00:10:45,200 --> 00:10:51,080
+مشكلة؟ بس بشغل ال calculator طلعتي بسوء 4.44 متر
+
+146
+00:10:51,080 --> 00:10:55,140
+.. ديش هذي هيك؟ هذي إيش ما حدتها؟ second
+
+147
+00:10:58,830 --> 00:11:02,270
+فيه مشكلة؟ سؤال straightforward زي وزي الـ Free
+
+148
+00:11:02,270 --> 00:11:06,270
+Falling Body ولا فيه أي حاجة نجي للمطلوب التاني
+
+149
+00:11:06,270 --> 00:11:10,910
+where does the ball hit the ground؟ وين بديه يضرب؟
+
+150
+00:11:10,910 --> 00:11:14,690
+قولت أنا بكفيني أجيب X أجيب البعد هذا بقول والله
+
+151
+00:11:14,690 --> 00:11:20,050
+ضربتها على بعد كذا من المبنى بكفي صحيح ولا لا؟
+
+152
+00:11:20,050 --> 00:11:24,630
+عشان أجيب X في غير هذا القانون؟طب هذه صارت جاهزة و
+
+153
+00:11:24,630 --> 00:11:30,750
+هذه عشرين اذا هذه الجواب طلع straight تمام اذا
+
+154
+00:11:30,750 --> 00:11:34,470
+بيقولليIt is enough to find the horizontal
+
+155
+00:11:34,470 --> 00:11:35,370
+distance
+
+156
+00:12:02,500 --> 00:12:09,540
+هذه هاي X اللي جبتها خلاص بكفي بس جيبلي X بقدر
+
+157
+00:12:09,540 --> 00:12:15,180
+أحدد وين الكورة ضربت الأرض أيه السفسار يا بنات؟ في
+
+158
+00:12:15,180 --> 00:12:19,980
+حاجة غريبة؟ تمام لحد الآن احنا حلوين وكل مواضيعنا
+
+159
+00:12:19,980 --> 00:12:24,160
+سهلة ومافيش حاجة غريبة لحد الآن تمام؟
+
+160
+00:12:26,940 --> 00:12:31,280
+C لكي نجد السرعة النهائية نحتاج لسرعة النهائية
+
+161
+00:12:31,280 --> 00:12:35,320
+نحتاج لكي نجد الاثنين جزء من السرعة النهائية لأنه
+
+162
+00:12:35,320 --> 00:12:39,260
+أنا بعرف السرعة هي كمية سرعة السرعة، مظبوط ولا لأ؟
+
+163
+00:12:39,260 --> 00:12:42,100
+إذا أنا بدي أدي بالسرعة، أنا بتعامل مع الشبتر
+
+164
+00:12:42,100 --> 00:12:45,560
+التالت، عندي two dimensions، two components في كل
+
+165
+00:12:45,560 --> 00:12:48,600
+حاجة، vector، displacement، velocity،
+
+166
+00:12:48,600 --> 00:12:52,240
+acceleration، صح ولا لأ؟ بدي سرعة، إذا بدي عندي
+
+167
+00:12:52,240 --> 00:12:57,400
+two components، تم؟بدو أولا نشوف VX هذي كيف نجيبها
+
+168
+00:12:57,400 --> 00:13:01,620
+السرعة النهائية كم السرعة التدائية تبعته؟ كم
+
+169
+00:13:01,620 --> 00:13:08,200
+السرعة التدائية الصينية؟ 20 نهائية؟ بتتغير؟ مش
+
+170
+00:13:08,200 --> 00:13:11,620
+نخترق قوانين جديدة إيه لها؟ نقول والله مش ضابط
+
+171
+00:13:11,620 --> 00:13:18,440
+معايا، أقول V و X equal V naught X minus G في T
+
+172
+00:13:18,440 --> 00:13:22,040
+نقول هو الـY هو أحسن من الـX يعني، حرام، حطله
+
+173
+00:13:22,040 --> 00:13:27,590
+قانون زيهبتصيرها أنا أنا بحكي كثير بشوفها على مر
+
+174
+00:13:27,590 --> 00:13:31,590
+السنين كل سنة اللي هتجيلك حدا كاتبها القانون إلا
+
+175
+00:13:31,590 --> 00:13:34,950
+يعني بيزعلش ال X زي ما في ال Y ليهاشي ال X محطلها
+
+176
+00:13:34,950 --> 00:13:39,470
+زيها تمام؟ بيجيش عبالة إنه بدها الشغل هي موجودة
+
+177
+00:13:39,470 --> 00:13:44,990
+عندك بس اكتبها يعني إذن السرعة النهائية الصينية هي
+
+178
+00:13:44,990 --> 00:13:48,150
+نفسها الإبتدائية لإنه عندي معلومة في الحركة
+
+179
+00:13:48,150 --> 00:13:52,730
+الأفقية السرعة عملها ثابتة تتغيرش إذن هي موجودة
+
+180
+00:13:53,670 --> 00:13:59,250
+تمام؟ حلو إذا بقى أقوله أنا بدي أجيب الصادية قال
+
+181
+00:13:59,250 --> 00:14:04,450
+لي هي قانون جاهز عشان تجيب VY ف VY equal V not Y
+
+182
+00:14:04,450 --> 00:14:09,730
+minus G في T هذي 15 والـ T طوية طلعتها 4.44 هي
+
+183
+00:14:09,730 --> 00:14:15,150
+وردي مسهلها هي طلعت سلبة غلط؟ بحثوا و هيقولوا طلعت
+
+184
+00:14:15,150 --> 00:14:20,990
+سلبة إيش الرقم هذا؟لازم تطلع سالبة لأنها نازلة إذا
+
+185
+00:14:20,990 --> 00:14:25,530
+هذه عشان هداع إليها تفسير ومنطقية وإذا أصلا ما
+
+186
+00:14:25,530 --> 00:14:30,890
+طلعتش سالب ده أجف أكون في خطأ لازم تطلع سالبة طيب
+
+187
+00:14:30,890 --> 00:14:35,850
+noting that the horizontal velocity is constantالـ
+
+188
+00:14:35,850 --> 00:14:39,130
+Horizontal Velocity ما تدورش عليها موجودة عندك هي
+
+189
+00:14:39,130 --> 00:14:43,270
+الـ 25 سوري اللي ما تغيرتش إذا جالي السرعة
+
+190
+00:14:43,270 --> 00:14:46,730
+النهائية المراكبة الصينية و المراكبة الصادرية
+
+191
+00:14:46,730 --> 00:14:49,150
+المراكبة الصينية هي نفس الـ 20 مش هي نفسها
+
+192
+00:14:49,150 --> 00:14:53,670
+الابتدائية حطيتها ناقص اللي طلعتها توي جالي يجيب
+
+193
+00:14:53,670 --> 00:14:57,290
+الـ Speed هي هذا Vector بيجيب المجموعة تبعه في حد
+
+194
+00:14:57,290 --> 00:15:03,310
+بعرفش لحد الآن إذا الـ Speed ده هي والـ Calculator
+
+195
+00:15:03,310 --> 00:15:09,950
+طرعت الجوابخلّص كمان مثال؟ يعني في الآخر، يعني
+
+196
+00:15:09,950 --> 00:15:14,930
+الامتحان الأول قرب، مافي مجال لامتحان يغيب عنه
+
+197
+00:15:14,930 --> 00:15:19,190
+سؤال الـProject in Motion، مافي مجال، هل جيت أسئلة
+
+198
+00:15:19,190 --> 00:15:24,170
+زي هذه صعبة لو حد يحلها؟ في مجال مسموح لكم تخربطوا
+
+199
+00:15:24,170 --> 00:15:28,690
+فيها؟ هيها زي هيك بتيجي، بمجرد أن احنا بنغير أرقام
+
+200
+00:15:29,790 --> 00:15:33,010
+زي هيك بالظبط، إلى حد كبير، يعني مش بالظبط هو
+
+201
+00:15:33,010 --> 00:15:36,990
+نفسه، هيك بالظبط أخوه، يعني جريبه، تمام؟ حتى أخوه،
+
+202
+00:15:36,990 --> 00:15:41,370
+بس مش هو، أخوه، من نفس العيلة، مافيش يعني هيك، من
+
+203
+00:15:41,370 --> 00:15:46,570
+العيلة، تمام؟ مافيش شيء جديد، يعني التكنيك نفسه،
+
+204
+00:15:46,570 --> 00:15:50,070
+أنا بأخد معطياتي، بجسمها سين وصاضي، بتطلع على
+
+205
+00:15:50,070 --> 00:15:53,990
+مطاليب سين أو صاضي، بنتبه و أنا بشتغل تلاتين سالب
+
+206
+00:15:53,990 --> 00:15:56,530
+تلاتين، الشغلات اللي زيها دي، خلاص، السؤال
+
+207
+00:15:56,530 --> 00:16:01,020
+بيجينيها على طول، مافيش إشكالية،أي استفسار قبل أن
+
+208
+00:16:01,020 --> 00:16:06,520
+نذهب إلى المثال الذي يليه؟ آية بنات؟ أكيد؟ أمين؟
+
+209
+00:16:06,520 --> 00:16:12,220
+أمين كمان مثال، تشايفين الطاولة هذه؟ ده ما جدش
+
+210
+00:16:12,220 --> 00:16:15,900
+ارتفاعها عن الأرض تقريبا، متر وشوية، متر وعشرين
+
+211
+00:16:15,900 --> 00:16:19,860
+غالبا الطاولات، جيبت كرة، هاي الجلام، بدي أدحرجه
+
+212
+00:16:19,860 --> 00:16:23,650
+هيك، بعد ما يصل هناك، إيش بيصير فيه؟بعمل
+
+213
+00:16:23,650 --> 00:16:26,090
+projectile motion، بعد الطاولة بعمل projectile
+
+214
+00:16:26,090 --> 00:16:28,290
+motion، صح ولا؟ الحاجات طول ما هو ماشية على
+
+215
+00:16:28,290 --> 00:16:30,870
+الطاولة مافيش projectile motion، ليش؟ لأنه فيه
+
+216
+00:16:30,870 --> 00:16:35,210
+الـnormal force أو القوة تبعت الطاولة عليه، غير عن
+
+217
+00:16:35,210 --> 00:16:42,010
+قوة الجاذبية، لكن لما يمشي ويفلط الطاولة، بيخش
+
+218
+00:16:42,010 --> 00:16:44,670
+projectile motion، لأنه لما يقعد سقط، إيش اللي
+
+219
+00:16:44,670 --> 00:16:50,810
+سقطه؟الجاذبية هاي ال project الموشي تم بقول لي a
+
+220
+00:16:50,810 --> 00:16:55,690
+ball rolls off بتدهرج قاعد على طاولة rolls off the
+
+221
+00:16:55,690 --> 00:17:00,410
+edge of a table top قاعد بتدهرج على حفة طاولة حايل
+
+222
+00:17:00,410 --> 00:17:06,870
+تدهرج عليها هذه الطاولة 1.2 مترغالباً هيك الطاولات
+
+223
+00:17:06,870 --> 00:17:09,930
+ارتفاعاتهم above the floor with any initial speed
+
+224
+00:17:09,930 --> 00:17:14,110
+بقول أول ما تركت الطاولة تركها بسرعة مقدارها تلاتة
+
+225
+00:17:14,110 --> 00:17:17,510
+متر per second سؤالي الآن الجامعة اللي تبعتوه
+
+226
+00:17:17,510 --> 00:17:22,270
+وقاعد بتدحرج أول ما فلّت الطاولة كيف تجاه سرقته
+
+227
+00:17:22,270 --> 00:17:30,860
+كانت؟أول ما فلّت الطاولة، كيف كان؟ أفقي، أفقي، هو
+
+228
+00:17:30,860 --> 00:17:35,080
+ماشي، هو فلّت الطاولة وهو هيك، بعدين بدأ ينزل،
+
+229
+00:17:35,080 --> 00:17:38,060
+اللي نزله الجاذبية، لكن أول ما فلّت الطاولة، فلتها
+
+230
+00:17:38,060 --> 00:17:42,900
+أفقي، يعني الصلعة الصينية موجودة، صاديةهذه اللي
+
+231
+00:17:42,900 --> 00:17:47,680
+بدّيها إن الصرعة الإبتدائية الصاضية zero يعني هذه
+
+232
+00:17:47,680 --> 00:17:52,580
+التلاتة هي صينية هذه التلاتة هي الصينية تمام؟ بقول
+
+233
+00:17:52,580 --> 00:17:55,340
+إيش بدك؟ where does the ball strike the ground؟
+
+234
+00:17:55,340 --> 00:17:59,080
+شوف شوف القلم، سجت، سجت، حاجات سجت هنا، ده دي أكتر
+
+235
+00:17:59,080 --> 00:18:03,000
+من متر بعيد عن الطاولة، وين؟ بدك تحددلي؟ إذا بده
+
+236
+00:18:03,000 --> 00:18:06,820
+X، تمام؟ إيش بدك كمان؟ what is the final velocity
+
+237
+00:18:06,820 --> 00:18:10,600
+of the ball؟ بده الصرعة النهائية، اللي هي مركبتين،
+
+238
+00:18:10,600 --> 00:18:15,920
+صح؟ التلاتة جاهزةماشية تلاتة سينية، بتتغير؟ إذا
+
+239
+00:18:15,920 --> 00:18:19,300
+السرعة السينية النهائية تلاتة، إيش دول تجيب السرعة
+
+240
+00:18:19,300 --> 00:18:23,700
+النهائية صادية؟ بس، نفس ذلك السؤال اتغيرت شوية
+
+241
+00:18:23,700 --> 00:18:29,940
+معطية، صحيح ولا لا؟ هذا هي، هذه الكرة، الـball أو
+
+242
+00:18:29,940 --> 00:18:34,640
+الـ .. أه ball هي، هي سقطت هنا، بعد ما اضحك رأيك
+
+243
+00:18:36,750 --> 00:18:40,870
+إذا فلتت الطاولة بشكل أفقي لأنه كانت تمشي أفقي
+
+244
+00:18:40,870 --> 00:18:45,390
+أصلا أنا ما قذفتهاش هي كانت ماشية وجعت ماحد لا
+
+245
+00:18:45,390 --> 00:18:48,490
+ميالها هيك ولا ميالها هيك ماشية أفقية وبعدين وجعت
+
+246
+00:18:48,490 --> 00:18:52,570
+إذا أول ما فلتت الطاولة كانت بشكل أفقي وهنا السهم
+
+247
+00:18:52,570 --> 00:18:57,170
+تلاتة واضحة تمام وهذه السرعة النهائية اللي بدوا
+
+248
+00:18:57,170 --> 00:19:01,820
+إياها solutionit is clear it is clear بفرض يكون
+
+249
+00:19:01,820 --> 00:19:06,120
+now that there is no vertical component for V0 فيش
+
+250
+00:19:06,120 --> 00:19:10,600
+مركبة عمودية صادية للسرعة الإبليزية يعني بيتترجمها
+
+251
+00:19:10,600 --> 00:19:16,180
+كمعطيات تقول و V0 X هي كلها التلاتة و V0 Y زير هذه
+
+252
+00:19:16,180 --> 00:19:20,120
+معطياتي جسمتها مش اول خطوة بنجسم المعطيات لسين و
+
+253
+00:19:20,120 --> 00:19:24,340
+صادر الصين طلعت كلها تلاتة و الصادر فيش حول ولا
+
+254
+00:19:24,340 --> 00:19:30,810
+فجيرة مرة هذه مالهاش ولا مركبة زيرتم الـ 1.2 متر
+
+255
+00:19:30,810 --> 00:19:35,490
+هديس. لماذا؟ سالب ولا موجب؟ سالب. إذا اتكررت
+
+256
+00:19:35,490 --> 00:19:40,310
+المقطع واتكررت المعلومة، مافيش عندكم مشكلة. بيقول
+
+257
+00:19:40,310 --> 00:19:44,230
+الـ to find the horizontal distance، بدك إكس أنت،
+
+258
+00:19:44,230 --> 00:19:47,850
+بدك الزمان غصب عنك ولا لا، الزمان ماقدرش أجيبه، من
+
+259
+00:19:47,850 --> 00:19:54,390
+هنا، هذا بيجيبه.كمان مرة لإيش؟ لأن هذه ناقص 1.2
+
+260
+00:19:54,390 --> 00:20:00,290
+ناقص 1.2 هذه سهل .. سهل لابد هذا القانون و لا بد
+
+261
+00:20:00,290 --> 00:20:03,450
+جميلته صحيح ولا لا؟ لأنه مش معادلة من الدرجة
+
+262
+00:20:03,450 --> 00:20:06,090
+التانية هي على طول معادلة من الدرجة الأولى بتطلع
+
+263
+00:20:06,090 --> 00:20:11,550
+قال لي Y equal V0 Y في T minus half GT تربيع هذه
+
+264
+00:20:11,550 --> 00:20:17,000
+حط عليها سالب هذه روحاتلأنها سفر سالب مع سالب روع
+
+265
+00:20:17,000 --> 00:20:20,040
+طبعا في أسئلة .. أسئلة زي هذه لو واحد خرب أطوحات
+
+266
+00:20:20,040 --> 00:20:23,860
+موجب هيلاقي الزمن سالب بيسكت بيقول فيه غلط بيراجع
+
+267
+00:20:23,860 --> 00:20:28,060
+لكن مرات ما تسكتش معاه في أمن و في تربية مافي ناس
+
+268
+00:20:28,060 --> 00:20:30,920
+بيقولك لا و الله عنزه و لو طارت خليها سالب سالب
+
+269
+00:20:30,920 --> 00:20:34,060
+مافيش مدة تطلع أيه كذا تطلع أيه بيخليها يعني حتى
+
+270
+00:20:34,060 --> 00:20:36,660
+الجراس هذه اللي مرات بتكون واضحة على الطالب ان في
+
+271
+00:20:36,660 --> 00:20:40,060
+عندك إيش غلط بيقول لا هو حر المدرس بيشوف وين الغلط
+
+272
+00:20:40,060 --> 00:20:44,390
+و بياخد العلامة اللي بدوها تمام؟فبالتالي هذه سهلة
+
+273
+00:20:44,390 --> 00:20:48,530
+square root مابتدهاش شغل إطلاقا طبعا إحنا حاطين Y
+
+274
+00:20:48,530 --> 00:20:51,550
+عشان برضه نأكد على المعلومة لإن هذي من ال letters
+
+275
+00:20:51,550 --> 00:20:55,210
+كاتر اللي الطلاب بسجطوا فيها لإن هم الطلاب بحب
+
+276
+00:20:55,210 --> 00:20:58,110
+يقولك 1.2 يغلبني مودي أقوله سليب ولا لأ خلاص أنا
+
+277
+00:20:58,110 --> 00:21:01,530
+بياخدها زي ما هي خيّر إذا جت 1.2 و أنا ما أشوف X
+
+278
+00:21:01,530 --> 00:21:05,070
+ممكن أحطها و إذا شوف Y ممكن أحطها ماتفرجش معايا
+
+279
+00:21:05,070 --> 00:21:09,170
+المهم في مسافة بحط 1.2 أحطها مودي أبقى حطها سليب
+
+280
+00:21:09,170 --> 00:21:12,460
+أشيل في هالشغلخلاص، بلاقي رقم و بيحطه فهذه الـ
+
+281
+00:21:12,460 --> 00:21:14,620
+tricks اللي بيجعل فيها الطالب لأنه زي ما حكينا
+
+282
+00:21:14,620 --> 00:21:17,840
+الأسئلة متشابهة وين واحد بيجعل؟ بيجعل إنه بميجزش،
+
+283
+00:21:17,840 --> 00:21:20,840
+جاعدي الأرقام كيف يتعامل معاها هذه الأرقام أنت
+
+284
+00:21:20,840 --> 00:21:23,440
+اللي بدك تاخدها و أنت تحطها و أنت تجيبها و إيش حط
+
+285
+00:21:23,440 --> 00:21:27,240
+موجبها و إيش حط سلبها تمام طبعا هذه بالـ
+
+286
+00:21:27,240 --> 00:21:31,000
+calculator تطلع ال square root of 1.2 على 4.9
+
+287
+00:21:31,000 --> 00:21:34,400
+الجزء التربيعي تطلع موجب و سلب و بتاخد الموجب
+
+288
+00:21:34,400 --> 00:21:41,380
+فتطلع 0.49 second خلص السؤالجبت زمان عوّطه هنا
+
+289
+00:21:41,380 --> 00:21:49,220
+طلعت X تلاتة في الرقم هذا طلعت 1.48 مكتب اذا بسرعة
+
+290
+00:21:49,220 --> 00:21:52,400
+مقدرة طبعا توي انا لما مشيته شفته سقط هنا لان
+
+291
+00:21:52,400 --> 00:21:55,900
+سرعته بطيقةصح ولا لأ؟ لكن تلاتة متر per second
+
+292
+00:21:55,900 --> 00:22:02,160
+سرعة أسرع لما يكون سريع نطله لعند آخر هنا one
+
+293
+00:22:02,160 --> 00:22:07,680
+حوالي متر و نص تمام؟ إذا سقط على بعد متر و نص من
+
+294
+00:22:07,680 --> 00:22:12,200
+قاعدة الطالدة تمام، في إشكالية؟ مش نفس المثال
+
+295
+00:22:12,200 --> 00:22:16,020
+السابق؟ و نفس التكنيك اللي متعامل معاه؟ مافيش إشي
+
+296
+00:22:16,020 --> 00:22:20,800
+جيد؟ حلوبيقول لي to find the final speed أنا بديش
+
+297
+00:22:20,800 --> 00:22:23,100
+ال final speed بدي ال final velocity we again have
+
+298
+00:22:23,100 --> 00:22:25,120
+to find the two components of the final velocity
+
+299
+00:22:25,120 --> 00:22:29,940
+قال لي بدك تاخد السرعة النهائية الصادية لقيت هذا
+
+300
+00:22:29,940 --> 00:22:33,790
+سهلمظبوط ولا لأ؟ لأن الزمن عبارة عن .. طبعا هذا
+
+301
+00:22:33,790 --> 00:22:37,390
+بتجيب، بس أنا ليش مشروع من هذا؟ عشان الطالب، عشان
+
+302
+00:22:37,390 --> 00:22:40,270
+التربيع مايجيبليش الموجب، هذا بيجيبلك الصالب غصب
+
+303
+00:22:40,270 --> 00:22:44,350
+ماعندك، هذا بيجيبلك موجب وصالب، وبتير احنا بننسى
+
+304
+00:22:44,350 --> 00:22:49,380
+ان اجازة التربيع لـ25 ممكن يكون ناقص 5صح؟ ان برمج
+
+305
+00:22:49,380 --> 00:22:53,400
+مخنق انه جداش جزء تربيع الـ25 بـ5 جزء تربيع الـ9
+
+306
+00:22:53,400 --> 00:22:57,700
+بـ3 صح؟ بكونك مركز بس هذا القانون غصب عنه بطلعلك
+
+307
+00:22:57,700 --> 00:23:01,060
+السالب عشان تصحى ان السالب صح و تقول اه هال بدياه
+
+308
+00:23:01,060 --> 00:23:06,060
+لكن لو ماشوفتش هتلاقي تاخد الموجب و انت ملخوب تمام
+
+309
+00:23:06,060 --> 00:23:11,180
+VY بتساوي 3 ماقص 9.8 في الـQ طب و طلعته هاي السالب
+
+310
+00:23:11,180 --> 00:23:16,910
+يجي لو واحد يجي من هذا القانونهيلاجي التربيع تبع
+
+311
+00:23:16,910 --> 00:23:21,110
+حد حوالي 25 دقائق وشوية هياخد 488 وينسى يحط
+
+312
+00:23:21,110 --> 00:23:25,730
+السالب، مظبوط ولا لأ؟ فهذا القانون جابلكيا وانت
+
+313
+00:23:25,730 --> 00:23:31,350
+فاهم ان هذا السالب له معنى فيزيائيا على .. أنا ايش
+
+314
+00:23:31,350 --> 00:23:36,050
+عامل؟ لأ هو هذا .. هذا غلط أصلا، هذا Zero، صح
+
+315
+00:23:36,050 --> 00:23:40,170
+كلامك، بس هذا بتطلعحك، لأن عشرة في حوالي صحية،
+
+316
+00:23:40,170 --> 00:23:45,960
+التلاتة صح، خطأ مطبي، لكن الجواب صحيحخطأ مطبعي لما
+
+317
+00:23:45,960 --> 00:23:50,040
+عملت الـ equation ما جمتش التلاتة تمام، كلامكم و
+
+318
+00:23:50,040 --> 00:23:55,360
+هيكم صاحين أكتر مني، ممتازين تمام، طلعت ناقص 4.8 و
+
+319
+00:23:55,360 --> 00:23:59,580
+هي down زي ما احنا متفقين في الأخر ال velocity هذه
+
+320
+00:23:59,580 --> 00:24:05,060
+هي VXi زي VYJ هذي تلاتة و هذي ناقص 4.8 اللي طلعت
+
+321
+00:24:05,060 --> 00:24:08,800
+أنا وياكم باتجاه الـ J أنا هنا بديش ال speed، اذا
+
+322
+00:24:08,800 --> 00:24:11,520
+بدي ال speed بجيبه لكن أنا بديش ال speed لانه طالب
+
+323
+00:24:11,520 --> 00:24:19,700
+ال velocity هو أي استفسارخلاص، مفهومة؟ تمام، خطيئة
+
+324
+00:24:19,700 --> 00:24:24,140
+في ركبتكوا، الحمد لله، فاهمين، حلو، هذا ال
+
+325
+00:24:24,140 --> 00:24:31,120
+projectile motion عملية سهلة جدا عنواننا يا بنات
+
+326
+00:24:31,120 --> 00:24:36,800
+في الشبتر هذا هو الحركة في مستوىو بعد ما أخدنا
+
+327
+00:24:36,800 --> 00:24:40,000
+المقدمة قلنا أشهر أنواع الحركة في مستوى هي حركة
+
+328
+00:24:40,000 --> 00:24:43,540
+المخضوفات الـ projectile motion و أخدناها تاني
+
+329
+00:24:43,540 --> 00:24:48,020
+أشهر حركة في الحركة المستوية هي الحركة الدائرية
+
+330
+00:24:48,020 --> 00:24:52,360
+لأنه مستحيل واحد يتحرك حركة دائرية و قط واحد اللي
+
+331
+00:24:52,360 --> 00:24:57,460
+يكون في مستوى الدائرة في مستوى تمام؟ إذن بدنا احنا
+
+332
+00:24:57,460 --> 00:25:02,540
+الحركة الدائرية في شبتر خمسة هنرجعلهاكل الـChapter
+
+333
+00:25:02,540 --> 00:25:06,400
+عنوانه Circular Motion، كله، بس الآن نقولها كيف
+
+334
+00:25:06,400 --> 00:25:10,540
+حالكوا بس، نتعرف عليها، بناخد مقدمة سريعة عبر ما
+
+335
+00:25:10,540 --> 00:25:13,340
+نرجعلها بكل تفاصيلها، الحركة الدورانية في
+
+336
+00:25:13,340 --> 00:25:18,080
+الـChapter الخامس، ان شاء الله، نبدأعشان هان برضه
+
+337
+00:25:18,080 --> 00:25:21,440
+موقعها، هذه حركة مستوية و إنت عنوانك حركة مستوية
+
+338
+00:25:21,440 --> 00:25:25,460
+فلازم نتعرّج على الحركة الدورانية و نتعرف عليها
+
+339
+00:25:25,460 --> 00:25:30,660
+بيقولّي when an object أي جسم moves on a circular
+
+340
+00:25:30,660 --> 00:25:34,740
+path طبعا حركة دورانية أو دائرية عشان مش عشان أنا
+
+341
+00:25:34,740 --> 00:25:37,060
+بتمشي على خط مستقيم عشان أنا بتمشي على حول دائرة
+
+342
+00:25:37,060 --> 00:25:40,680
+مش عشان كده سميتها إذا ممكنش بسميها حركة دائرية
+
+343
+00:25:40,680 --> 00:25:45,340
+لما الجسم moves on a circular path في مسار دائري
+
+344
+00:25:45,870 --> 00:25:50,730
+أمسار path مع مصار in a circular path with
+
+345
+00:25:50,730 --> 00:25:55,650
+constant speed v مع سرعة أو speed ثابت بدأت أنا
+
+346
+00:25:55,650 --> 00:25:59,630
+الان كلمة سرعة تسعفنيش لأن كلمة سرعة مالهاش معنى
+
+347
+00:25:59,630 --> 00:26:03,730
+بالعربي أن أميز بين ال velocity و ال speed تمام؟
+
+348
+00:26:03,730 --> 00:26:07,470
+with speed constant فاسمحولي أستخدم كلمة speed
+
+349
+00:26:07,470 --> 00:26:14,910
+الآن speed with constant speedالوضع يسمى في هذا
+
+350
+00:26:14,910 --> 00:26:18,590
+الحالة حركة دائرية منتظمة عشان الـ speed ماله
+
+351
+00:26:18,590 --> 00:26:25,770
+ثابتة تفهمه ولا لا؟ حلو الآن التسرع إيش تعريفه؟
+
+352
+00:26:25,770 --> 00:26:29,390
+معدل تغير إيش بالنسبة لإيش؟ سرعة بالنسبة للزمن
+
+353
+00:26:29,390 --> 00:26:34,130
+يعني لو السرعة ثابتة في تسارع؟ لا الآن هم بيقولي
+
+354
+00:26:34,130 --> 00:26:41,840
+ال speed ثابتة ليه؟ لأ في تسارعمن وين؟ قال لي هي
+
+355
+00:26:41,840 --> 00:26:46,360
+الـ acceleration أو التسارع معدّل تغير ال speed
+
+356
+00:26:46,360 --> 00:26:49,440
+ولا معدّل تغير ال velocity؟ طيب و ال velocity إيه؟
+
+357
+00:26:49,440 --> 00:26:53,040
+لها speed و إيش؟ و direction؟ و direction؟ إذا في
+
+358
+00:26:53,040 --> 00:26:56,960
+هذه الحالة اللي بتغير الشوة ال direction و عمركم
+
+359
+00:26:56,960 --> 00:26:59,860
+شفتوا حركة دائرية و ال direction بيضلوا واقف؟
+
+360
+00:26:59,860 --> 00:27:04,230
+ثابت؟ هو كم بيدي لوف؟مش هو حركة دائرية بتظل يلوف؟
+
+361
+00:27:04,230 --> 00:27:07,670
+كونه بيلوف معناته بيغير اتجاهه ولا لأ طول ما هو
+
+362
+00:27:07,670 --> 00:27:12,390
+بيلف اتجاه متغير وما زال اتجاه متغير نوي مستحيل
+
+363
+00:27:12,390 --> 00:27:16,890
+تكون السرعة ثابتة حتى و ال speed ثابتة لأن السرعة
+
+364
+00:27:16,890 --> 00:27:19,650
+speed زي ال direction و ال direction متغيرة على
+
+365
+00:27:19,650 --> 00:27:23,850
+طول مستحيل يكون ثابت ولا بتبطل حركة دائرية صحيح
+
+366
+00:27:23,850 --> 00:27:27,570
+وليك ولا لأ؟ تمام بيقول لي هاي الجسم و قاعد يمشي
+
+367
+00:27:27,570 --> 00:27:30,510
+هكذا هاي حركة دائرية المصاد اللي منجد دائرة ولا مش
+
+368
+00:27:30,510 --> 00:27:33,360
+دائرة؟هذه حركة دائرية، هذه شغلة سهلة لو احنا
+
+369
+00:27:33,360 --> 00:27:38,580
+عارفينها، وفيه مائة ألف حركة في الواقع بنشوفها،
+
+370
+00:27:38,580 --> 00:27:40,920
+الدورات اللي في الشوارع، الدوار، اللي بنسميه دوار
+
+371
+00:27:40,920 --> 00:27:43,900
+بالبلدين، شفوه؟ هذه حركة دائرية ولا لا، السيارة
+
+372
+00:27:43,900 --> 00:27:47,420
+بتمشي حركة دائرية، وبنحكي عنها تفصيلا في الشابطة
+
+373
+00:27:47,420 --> 00:27:52,500
+الخامسة، طبعا السرعة دائما احنا متفقين بتكون مماس
+
+374
+00:27:52,500 --> 00:27:58,000
+للمسار، مش هي تفاضل ال X، فدائما مماس، طبعا عشان
+
+375
+00:27:58,000 --> 00:28:01,820
+الحركة دائرية زي ما انتوا شايفين،بتكون المماس ..
+
+376
+00:28:01,820 --> 00:28:04,760
+مماس .. مماس .. مماس .. عند النقطة دي كيف؟ برضه
+
+377
+00:28:04,760 --> 00:28:09,880
+مماس .. صح ولا لا؟ إذن دائما مماس للحركة حلو
+
+378
+00:28:09,880 --> 00:28:15,220
+بيقولي as the velocity in a uniform circular
+
+379
+00:28:15,220 --> 00:28:19,660
+motion it changes continuously in direction بما أن
+
+380
+00:28:19,660 --> 00:28:24,580
+الصراعة بتغير اتجاهها على طول تمام؟ إذن بيقولي and
+
+381
+00:28:24,580 --> 00:28:28,380
+although the speed is constant و بالرغم من ثبات ال
+
+382
+00:28:28,380 --> 00:28:33,940
+speedVelocity as a vector, is it changeable؟ الـ
+
+383
+00:28:33,940 --> 00:28:37,000
+Velocity بتتغير بالرغم من ثبات الـ Speed من وين
+
+384
+00:28:37,000 --> 00:28:42,180
+جاء التغير؟ من الـ Direction حلو Resulting in an
+
+385
+00:28:42,180 --> 00:28:45,720
+acceleration هذا التغير معناته صار فيه
+
+386
+00:28:45,720 --> 00:28:49,600
+acceleration صح ولا لأ؟ هذه الـ Acceleration اللي
+
+387
+00:28:49,600 --> 00:28:53,860
+جاية نتيجة تغير الـ Direction فقط بسموها التسارع
+
+388
+00:28:53,860 --> 00:28:59,440
+المركزيالـ Centripetal Acceleration ليه اللي جاي
+
+389
+00:28:59,440 --> 00:29:01,820
+بس من تغيير الاتجاه؟ طبعا كلها التفاصيل اللي
+
+390
+00:29:01,820 --> 00:29:07,300
+هنرجعلها الـ Acceleration أو التسارع اللي جاي
+
+391
+00:29:07,300 --> 00:29:12,480
+نتيجة تغيير ال direction فقط بيسموه تسارع مركزي طب
+
+392
+00:29:12,480 --> 00:29:18,360
+ليه يسموه مركزي؟ عشان اتجاهه نحو المركز، بس مش
+
+393
+00:29:18,360 --> 00:29:21,900
+اللي الـ Acceleration vector له اتجاه بيقول ليه؟
+
+394
+00:29:23,050 --> 00:29:26,390
+resulting in acceleration directed towards the
+
+395
+00:29:26,390 --> 00:29:30,150
+center دائما متجهة نحو ال center عشان كده سميتها
+
+396
+00:29:30,150 --> 00:29:33,990
+centripetal مركزي عشان رايحة عندي المركز اذا
+
+397
+00:29:33,990 --> 00:29:37,450
+نرجعنا لكل مسمى من اسمه نصيب سموها مركزية عشان
+
+398
+00:29:37,450 --> 00:29:41,430
+الطالب ماينساش ليش تسموها مركزية و انتجاهها نحو
+
+399
+00:29:41,430 --> 00:29:46,490
+المركز خلاص هذه معنى اتحادية سميت مركزية عشان
+
+400
+00:29:46,490 --> 00:29:52,060
+اتجاهها نحو المركز طيببقدر أقول اتجاهها دايما مع
+
+401
+00:29:52,060 --> 00:29:57,160
+أنصاف الأقطار؟ فى نص قطر عمروش بيمور فى مركز؟ لو
+
+402
+00:29:57,160 --> 00:30:00,520
+عامكنوا سمعتوا نص قطر بيمورش فى مركز؟ فى نص قطر
+
+403
+00:30:00,520 --> 00:30:05,620
+لأوكى شو نص قطر؟ أي مسافة من المركز للمحيط إذا
+
+404
+00:30:05,620 --> 00:30:08,760
+الغصب اللى عنه بدى يبدأ فى المركز فمرات بيسموها نص
+
+405
+00:30:08,760 --> 00:30:12,640
+قطرية نص قطرية قطرية اللى بدكم إياها تمام؟
+
+406
+00:30:12,640 --> 00:30:19,170
+مابتخليني أحنا مركزية تمامand is given as المقدار
+
+407
+00:30:19,170 --> 00:30:22,090
+تبعها له اشتقاق بس مش معنيين فيه كتير موجود في
+
+408
+00:30:22,090 --> 00:30:26,790
+الكتاب تمام مقداره V تربيع على R طبعا له اشتقاق
+
+409
+00:30:26,790 --> 00:30:30,330
+هندسي زي ما هو مكتوب عليكم و قدامي شوية بنشتقه
+
+410
+00:30:30,330 --> 00:30:34,890
+رياضيا بس لسه ع رياضيات تعيدكم مش ناتجة بتكفناش
+
+411
+00:30:34,890 --> 00:30:39,220
+عشان نشتقه بصورة الكاملة بهذا القدرعشان كده مش
+
+412
+00:30:39,220 --> 00:30:42,460
+تقينوه في الكتاب بصورة هندسية مش كتير معنيين فيه
+
+413
+00:30:42,460 --> 00:30:46,340
+لكن المقدار تبعنا V تربيع على .. أخدتوه؟ عين تربيع
+
+414
+00:30:46,340 --> 00:30:51,800
+على نقل؟ هندسياً
+
+415
+00:30:51,800 --> 00:30:57,000
+لأ لأ لأ لأ مش هنا .. هذا جدامنا كتير لأ في أسهل
+
+416
+00:30:57,000 --> 00:31:01,300
+من كده اللي .. اللي حابب يعمل refresh لمعلومات
+
+417
+00:31:01,300 --> 00:31:04,340
+توجيهي يشوفوه في الكتاب أنا مش معنى كتير فيه تمام
+
+418
+00:31:05,090 --> 00:31:09,370
+إيه بتساوي V تربيع على R؟ تمام؟ أنا بقى هنا بكفيني
+
+419
+00:31:09,370 --> 00:31:11,670
+لأنه في شبط الخمسة راجعله أنا هجيت كنت قوله كيف
+
+420
+00:31:11,670 --> 00:31:17,230
+حالك؟ اعرفش شغلتين؟ اه بدا حين مثال شغلتين إنه إذا
+
+421
+00:31:17,230 --> 00:31:21,150
+ال speed constant بسميها uniform circular motion
+
+422
+00:31:21,150 --> 00:31:24,970
+في هذه الحالة التغير الوحيد اللي تم هو بال
+
+423
+00:31:24,970 --> 00:31:30,410
+direction هذا التغير بينتجلي تسارع مركزي ليه سميته
+
+424
+00:31:30,410 --> 00:31:34,060
+مركزي؟التجاه الملكي .. و هذا الـ magnitude بدي
+
+425
+00:31:34,060 --> 00:31:39,200
+أحفظه بتربيه على R أكتر من كده بديش تمام شوفوا
+
+426
+00:31:39,200 --> 00:31:45,180
+المثال البسيط عمركم شفتوا الجمر بيسرع أو بيبطق؟
+
+427
+00:31:45,180 --> 00:31:49,000
+لأ، بعرفه، بيقول ليه؟ حركة دارية ولا لأ؟ تقريبا
+
+428
+00:31:49,570 --> 00:31:53,550
+خلقة دائرية هاي بناخد مثال الشهر العربي اللي يتدمر
+
+429
+00:31:53,550 --> 00:31:57,730
+كل مرة عمله بتكرر معانا صحيح ولا لأ؟ طبعا واحد
+
+430
+00:31:57,730 --> 00:32:00,950
+بيقول كيف ثابت مرة تسعة عشرين ومرة تلاتين لأ هو
+
+431
+00:32:00,950 --> 00:32:07,010
+ثابت عندي أنا تسعة عشرين وكسور يعني لكن مرات عشان
+
+432
+00:32:07,010 --> 00:32:10,050
+تصير تلاتين مافيش عندي شهر تسعة عشرين وكسور صح ولا
+
+433
+00:32:10,050 --> 00:32:12,970
+لأ؟ وبالتالي بيقولوا مرة هيك ومرة هيك وبيعتمد
+
+434
+00:32:12,970 --> 00:32:19,820
+تمام؟ بيقوللي the moonrevolves يعني بدور revolves
+
+435
+00:32:19,820 --> 00:32:26,180
+about the Earth حول الأرض in an orbit بيفتراض أنه
+
+436
+00:32:26,180 --> 00:32:28,720
+circular لأن أميرات بيقولوا لأ هو عبارة عن ellipse
+
+437
+00:32:28,720 --> 00:32:33,340
+شكل بيضاوي صح؟ أنا بدي أعتبره تجاوزا أنه عايش
+
+438
+00:32:33,340 --> 00:32:40,990
+دائريأفريديا نص القطر تقريبا هو 3.85 10⁻⁵ كيلومتر
+
+439
+00:32:40,990 --> 00:32:46,790
+تمام؟ يعني الـ 10⁻⁵ مائة ألف كيلومتر فمسافة كبيرة
+
+440
+00:32:46,790 --> 00:32:51,750
+حلو مش مهم and makes one revolution بعمل دورة
+
+441
+00:32:51,750 --> 00:32:57,140
+كاملة كل 27.3 daysقال لي كيف؟ عمره شفت أنا شهر 27
+
+442
+00:32:57,140 --> 00:33:02,060
+يوم صح؟ عمره كم شفته شهر عربي 27 يوم؟ احنا بنعرف
+
+443
+00:33:02,060 --> 00:33:06,580
+29 مكسور يعني لا 29 لا 30 عمره شهر عربي لا عمره
+
+444
+00:33:06,580 --> 00:33:11,520
+صار 31 ولا عمره صار 28 بالآخر في رمضان احنا بنتبع
+
+445
+00:33:11,520 --> 00:33:15,700
+عليه في رمضان و في شوال و مرات في زلحجة عشان نعرف
+
+446
+00:33:15,700 --> 00:33:19,740
+أعيادنا بيقولوا استطلعوا الهلال مظبط ولا لا؟ ليلة
+
+447
+00:33:19,740 --> 00:33:24,250
+29 بيقولك استطلع عشان أشوفها sorry ليلة 30تمام؟
+
+448
+00:33:24,250 --> 00:33:27,790
+وبالتالي .. و .. طب ليش هذا الرقم؟ هذا هيك حاطينه؟
+
+449
+00:33:27,790 --> 00:33:32,550
+بيقولوا لأ مش هيك هو القمر عشان يلف على الأرض
+
+450
+00:33:32,550 --> 00:33:38,010
+بيستغلق هذا الزمن لكن ليش احنا يابان لنا انه 29
+
+451
+00:33:38,010 --> 00:33:47,050
+وكسور بيقول هيك هي الأرض هي غزة تمام؟
+
+452
+00:33:47,050 --> 00:33:49,770
+المقصد هو مش على عرض غزة ولا مش على عرض ولا واحد
+
+453
+00:33:49,770 --> 00:33:56,130
+موجودة تمام؟ وهي الجمرأنا طبعا غزة ولا فلسطين؟
+
+454
+00:33:56,130 --> 00:33:59,910
+فلسطين تفكر يا الله الواحد لما يطلع بيطلع عليها من
+
+455
+00:33:59,910 --> 00:34:02,470
+منطقة واحدة حتى بنات نقول غزة ونقول والله منطقة
+
+456
+00:34:02,470 --> 00:34:07,490
+الفنانية في غزة تمام؟ بدي أنا أطلع عليه هو الأصل
+
+457
+00:34:07,490 --> 00:34:13,830
+أن هذا القمر بيمشي هيك بيكمل دورة كاملة بعد ذو
+
+458
+00:34:13,830 --> 00:34:18,650
+القاعدة بيجينا ذو الحجة صح ولا لأ؟ المشكلة وين؟
+
+459
+00:34:18,650 --> 00:34:24,720
+هذا بيستقرق عندي 27.3 days لكن هل الأرض ثابتة؟لأ،
+
+460
+00:34:24,720 --> 00:34:28,300
+بيقولّي بعد شهر خاصة مابتكونش هنا، بتيجي هنا،
+
+461
+00:34:28,300 --> 00:34:33,000
+مابتلقه في التانية، صح ولا؟ عشان كده بعد شهر أنت
+
+462
+00:34:33,000 --> 00:34:37,500
+بتكاش دورة كاملة، بدك عشان تشوفه إن هذا الجمر بعد
+
+463
+00:34:37,500 --> 00:34:41,100
+ما دور كمان مرة يمشي لعندك هنا، عشان تقدر تشوفه،
+
+464
+00:34:41,100 --> 00:34:46,380
+صح ولا؟ عشان كده الشهر العربي مش 27.3، 29 point
+
+465
+00:34:46,380 --> 00:34:50,900
+كذا،عشان ما حد يقول يجيبونا شهر عربي جديد اتعلمنا
+
+466
+00:34:50,900 --> 00:34:54,220
+لأ هو الشهر العربي تبعنا تسعة و عشرين أظنه سبع
+
+467
+00:34:54,220 --> 00:34:58,800
+أعشار بيوم وبالتالي من شهر لشهر نتعامل و دايما انا
+
+468
+00:34:58,800 --> 00:35:04,540
+في هذا المقام بقول كالتالي انه لازم احنا كمسلمين
+
+469
+00:35:04,540 --> 00:35:11,320
+نبطل نستطلع قبرمفروض نحسب الجمر بيطلع ولا بيطلعش
+
+470
+00:35:11,320 --> 00:35:15,980
+وخلاص لأنه على مدار عشرات السنوات مش سنة ولا سنتين
+
+471
+00:35:15,980 --> 00:35:22,050
+عشرات السنوات عمرهم ما قعدوارقم فلكيا ويطلع غلط
+
+472
+00:35:22,050 --> 00:35:26,370
+يعني على الأقل لما يصير في كثوف وخسوف القمر بيقولك
+
+473
+00:35:26,370 --> 00:35:29,130
+بيبدأ الساعة 12 كل أهل غزة بيطلعوا بيلاجوا الساعة
+
+474
+00:35:29,130 --> 00:35:34,170
+12 بدل كثوف بيخلص سنتين بيخلص سنتين الجمر معروف
+
+475
+00:35:34,170 --> 00:35:38,490
+أنه بيولد يوم كذا بيولد يوم كذا هل جيت بقدر أشوفه
+
+476
+00:35:38,490 --> 00:35:41,610
+ولا بقدرش أشوفه؟ بقدر نحسه وبالتالي المفروض أنه
+
+477
+00:35:41,610 --> 00:35:46,570
+تنتحكية قصة طلع القمر خلاص زي ما كنا زمان ما نصليش
+
+478
+00:35:46,570 --> 00:35:51,160
+إلا لما نشوف الظلالظهر والعصر مثله وضعف مثله صح
+
+479
+00:35:51,160 --> 00:35:53,420
+ولا لا؟ في حد هالجيت لما يصلي بيروح .. بيروح على
+
+480
+00:35:53,420 --> 00:35:56,460
+الشمس وبيحط جلم ويشوف الظل ولا بتطلع على الساعة؟
+
+481
+00:35:56,460 --> 00:36:00,520
+بتطلع على الساعة كل شهر تيدينا ورقة صح ولا لا؟ هذه
+
+482
+00:36:00,520 --> 00:36:03,260
+المفروض تكون الأيام العربية بالظبط زي الساعة
+
+483
+00:36:03,260 --> 00:36:07,580
+وموجودة مواقع معتمدة وإسلامية ومسلمين اللي
+
+484
+00:36:07,580 --> 00:36:12,960
+بيعملوها وموفوقة مية في المية مية في المية طبعا
+
+485
+00:36:12,960 --> 00:36:16,080
+قبل عشر سنة لما كنا نحكي هيك كانوا بقولك هذا تنجيم
+
+486
+00:36:16,970 --> 00:36:20,050
+إنه هذا تنجيم، إيش إحنا بنقعد نصوم و نصلي ورا
+
+487
+00:36:20,050 --> 00:36:24,150
+تنجيم؟ بدوا الدول الإسلامية، خصوصا السعودية و مصر
+
+488
+00:36:24,150 --> 00:36:27,630
+و سبقتهم تركيا يقولوا لا، ييجي واحد يقولهم والله
+
+489
+00:36:27,630 --> 00:36:30,370
+شفته القمر، يقوله انت كنت ساكران، القمر ماطلعش
+
+490
+00:36:30,370 --> 00:36:34,790
+أصلا، ليه؟ لأنهم حسبوا أن القمر لسه ماطلعش، وواحد
+
+491
+00:36:34,790 --> 00:36:38,810
+شافله حاجة زاغت، يقولك ييجي القمر و يحلف يمين و كل
+
+492
+00:36:38,810 --> 00:36:42,590
+المسلمين يصوموا وراهلأ، والعلم بيقول مستحيل يكون
+
+493
+00:36:42,590 --> 00:36:46,570
+طالع، فهذه معلومات أصبحت يقينية ومافيش فيها مجال
+
+494
+00:36:46,570 --> 00:36:50,830
+الخطأ، بيقولك الساعة كذا جزء من الدقيقة، مش انه
+
+495
+00:36:50,830 --> 00:36:54,830
+تقول الله الساعة تنتين، ممكن تشلج لساعة تلاتة، لأ،
+
+496
+00:36:54,830 --> 00:36:58,270
+بيقولك تنتين و تلت دقائق وخمس ثواني، وبتكون
+
+497
+00:36:58,270 --> 00:37:01,910
+بالظبط، فهذه معلومات أصبحت أكيدة، معلومات الفلك
+
+498
+00:37:01,910 --> 00:37:10,020
+أصبحت قطعيةفنكمل احنا بس فسرت ليش 27.3 ومن وين اجا
+
+499
+00:37:10,020 --> 00:37:15,340
+اليومين وشوية الفرق ما بين شهرنا العربي وشهر أو
+
+500
+00:37:15,340 --> 00:37:19,680
+الزمن الدوري تبع القمر الزمن الدوري تبع القمر 27.3
+
+501
+00:37:19,680 --> 00:37:23,600
+بس مع الأسف بتكون غزا اتخرجت ولازم القمر يروحلها
+
+502
+00:37:23,600 --> 00:37:26,600
+عشان يقدر كمان مرة اللي في غزا ولا اللي في مكة ولا
+
+503
+00:37:26,600 --> 00:37:29,400
+اللي في القاهرة يقدر يشوفها ما هو غزا وقاهرة ومكة
+
+504
+00:37:29,400 --> 00:37:33,150
+زي بعض كلهم بتحركوا مع الأرض تمامهذه السهلة، ايش
+
+505
+00:37:33,150 --> 00:37:35,570
+بده؟ بده الـTime for one revolution
+
+506
+00:37:38,290 --> 00:37:40,310
+طبعا ماذا يجب أن تفتح؟
+Find the acceleration of
+
+507
+00:37:40,310 --> 00:37:42,550
+the moon towards the earth طب ماهي الـ
+
+508
+00:37:42,550 --> 00:37:44,710
+acceleration؟ انت قلت لي V تربيع على R، مافيها
+
+509
+00:37:44,710 --> 00:37:48,570
+مشكلة، صحيح ولا لأ؟ هذه الـ acceleration أنا عندي
+
+510
+00:37:48,570 --> 00:37:52,350
+القمر بتحرك بـSpeed ثابتة وبالتالي الـ
+
+511
+00:37:52,350 --> 00:37:56,470
+acceleration مركزية قطعا، صحيح ولا لأ؟ وبالتالي
+
+512
+00:37:56,470 --> 00:38:00,810
+التسارع المركزي باتجاه المركز اتجاهه وقيمته V
+
+513
+00:38:00,810 --> 00:38:07,190
+تربيع على Rأذن R أعطانيها 3.85 X 10⁻⁵ كيلومتر
+
+514
+00:38:07,190 --> 00:38:10,730
+والكيلومتر بضربه في ألف عشان أحوله لمتر إيش جال
+
+515
+00:38:10,730 --> 00:38:14,830
+أجيب؟ كان ليه جيب V إذا جيبت V خلّص سؤالة طيب
+
+516
+00:38:14,830 --> 00:38:21,570
+السرعة بساوي مسافة ع زمن؟ صح؟ ال 27.3 days زمن
+
+517
+00:38:21,570 --> 00:38:27,700
+إيش؟ دورة طب مين يقولي كداش مسافة الدورة؟محيط
+
+518
+00:38:27,700 --> 00:38:33,600
+الدائرة، مش 2π، 2π في R، 2π في R، محيط الدائرة،
+
+519
+00:38:33,600 --> 00:38:39,250
+تمام؟ إذا سهلةبقول في الأول الوقت يحوّل الـ Time
+
+520
+00:38:39,250 --> 00:38:42,890
+بدل ما هو Days يخلّيه Seconds ضربنا اليوم أكم ..
+
+521
+00:38:42,890 --> 00:38:49,870
+أكم ساعة فيه؟ 24 و الساعة كمت جيجا؟ ستين و الجيجا
+
+522
+00:38:49,870 --> 00:38:53,470
+كم ثانية؟ ستين في ستين في ستين، تلتلاف و ستمية
+
+523
+00:38:53,470 --> 00:38:59,590
+فضربت كل هذا عشان أطلّحها 2.36 x 10⁶6 Second
+
+524
+00:38:59,590 --> 00:39:00,650
+طلّعناها
+
+525
+00:39:02,960 --> 00:39:06,940
+السرعة الان بدي ال V احنا قاعدين ندور عليها بيقول
+
+526
+00:39:06,940 --> 00:39:11,580
+لي بيساوي المسافة على الزمن بيساوي محيط الدورة على
+
+527
+00:39:11,580 --> 00:39:16,660
+زمن الدورة تمام؟ مسافة الدورة وهو المحيط على زمن
+
+528
+00:39:16,660 --> 00:39:19,880
+الدورة اللي هو الزمن اللي انا وياكم حسبناه طلعت
+
+529
+00:39:19,880 --> 00:39:23,200
+هادي تلاتة في point eighty-five هناك ماعطينيها في
+
+530
+00:39:23,200 --> 00:39:26,660
+عشر وعشر وخمسة هنا صارت عشر وعشر وثمانية ايه سويت؟
+
+531
+00:39:26,660 --> 00:39:32,100
+حولت ال kilometer ل meter ضربت في الفعشان الـ SI
+
+532
+00:39:32,100 --> 00:39:37,640
+على الزمن اللي أنا حسبته طلعت 1026 متر per second
+
+533
+00:39:37,640 --> 00:39:42,140
+قال لي خلاص هاي الآن الـ Decentral Acceleration
+
+534
+00:39:42,140 --> 00:39:48,020
+اللي بتساوي V² over R هذا الرقم ربيع ليه جسمه على
+
+535
+00:39:48,020 --> 00:39:53,480
+R وهو نص قطر المدار تبعك اللي اعطاكيهطلعت 2.73
+
+536
+00:39:53,480 --> 00:39:59,060
+10⁻³m² per second square هذا هو التسارق تبع القمر
+
+537
+00:39:59,060 --> 00:40:04,280
+حوالين الأرض تقريبا طبعا احنا تقريبا بنقول عشان
+
+538
+00:40:04,280 --> 00:40:09,160
+اعتبننا المسار دائري وهو شويه بيضاوي لكن بتفرجش
+
+539
+00:40:09,160 --> 00:40:14,220
+كتير معانا تمام؟ في اي استفسار يا بنات؟ ده الحركة
+
+540
+00:40:14,220 --> 00:40:17,140
+الدائرية بيبقى ناخدها دقيقتين اللي ضالين معانا
+
+541
+00:40:18,560 --> 00:40:22,280
+ماحنا ماشيين يعني هو ال gate ازورته بالجيكتين يا
+
+542
+00:40:22,280 --> 00:40:25,320
+الله عليكم ماحنا خسرنا خمسين دقيقة ماشيين الجيكتين
+
+543
+00:40:25,320 --> 00:40:30,480
+بيزوركم تمام الموضوع
+
+544
+00:40:30,480 --> 00:40:36,400
+هذا مر علينا ايش اسمها الحركة النسبية ذاكرين
+
+545
+00:40:36,400 --> 00:40:40,500
+شرحتها بس شرحتها بال one dimension المرة هذه بدأوش
+
+546
+00:40:40,500 --> 00:40:45,140
+اشرحها في ال two dimensions تمام هذا الموضوع هكرره
+
+547
+00:40:46,180 --> 00:40:48,460
+إن شاء الله المرة الجاية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/piLsdO8zMdE_postprocess.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/piLsdO8zMdE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f140f8f3116bf3016a320b6873df365bc304f84c
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/piLsdO8zMdE_postprocess.srt
@@ -0,0 +1,2068 @@
+1
+00:00:20,940 --> 00:00:24,860
+نسمى باسم الله ونكمل ما تبقى من هذا ال chapter
+
+2
+00:00:24,860 --> 00:00:29,040
+وقفنا في المحاضرة الماضية عن الـ Free Falling
+
+3
+00:00:29,040 --> 00:00:33,740
+Bodies وقلنا الـ Free Falling Bodies هي حركة خطية
+
+4
+00:00:33,740 --> 00:00:38,920
+بتسارع ثابت التسارع التابعي هو التسارع الجاذبية
+
+5
+00:00:38,920 --> 00:00:45,920
+الأرضية و الرمز إليها بالرمز G اللي بتساوي 9.8 متر
+
+6
+00:00:45,920 --> 00:00:51,330
+per second square أو 32foot per second squared هذا
+
+7
+00:00:51,330 --> 00:00:55,470
+مقدار سيُعطيكم لكن هتحفظوه غصب عنكم من كتر
+
+8
+00:00:55,470 --> 00:00:59,370
+استخدامه وإن كنا نعطيه يعني في النهاية في ورقة
+
+9
+00:00:59,370 --> 00:01:03,510
+الاتحاد بنحطها على رأس الورقة ان جيب تساوي 9.8 متر
+
+10
+00:01:03,510 --> 00:01:06,170
+per second squared وانا متأكد أغلبكم مش هيتطلع
+
+11
+00:01:06,170 --> 00:01:09,830
+عليها يكون حافظها وهيكتبها بس هذا بتدل على ان
+
+12
+00:01:09,830 --> 00:01:14,550
+حافظها ماهياش مشكلة انه نقول 9.8 جديش متساوي
+
+13
+00:01:14,550 --> 00:01:21,140
+ماهياش مشكلة عندناتمام واتفقنا بما انه التلات
+
+14
+00:01:21,140 --> 00:01:28,840
+معادلات V equal V naught plus 80و X equal V0 في T
+
+15
+00:01:28,840 --> 00:01:35,980
+plus half AT² and V² equal V0² plus 2AX هدول
+
+16
+00:01:35,980 --> 00:01:39,340
+معادلات شرطهم أن يكون الـ acceleration constant
+
+17
+00:01:39,340 --> 00:01:43,380
+بما أن في الـ falling bodies الـ acceleration هي G
+
+18
+00:01:43,380 --> 00:01:48,560
+و G is constant إذن هذه المعادلات ممكن نطبقها إيش
+
+19
+00:01:48,560 --> 00:01:51,980
+الفرق؟ قال هذه A بطلت إليها قيم كتيرة إلا في الشيء
+
+20
+00:01:51,980 --> 00:01:57,340
+اللي قيمها هي G صحيح؟الشيء الثاني هو أن كونها
+
+21
+00:01:57,340 --> 00:02:00,860
+دائما الأسفل وأنا بدي أخد اتجاه الموجة بالأعلى
+
+22
+00:02:00,860 --> 00:02:07,110
+فبتكون سالبة فهذه سالب وهذه سالب وهذه سالبشغل أخر
+
+23
+00:02:07,110 --> 00:02:10,350
+و اتفقنا انه optional الواحد مش عاجباه يغيرها
+
+24
+00:02:10,350 --> 00:02:15,910
+بيغيرهاش انه بما انه الحركة عمودية متعودين ان ال X
+
+25
+00:02:15,910 --> 00:02:21,170
+تصير Y فهذه تصير Y وهذه تصير Y وبصي في عندكم
+
+26
+00:02:21,170 --> 00:02:26,590
+المعادلات الخاصة بـ Free Falling Bodies هم هدول هم
+
+27
+00:02:26,590 --> 00:02:33,480
+نفسهم V equal V0 minus GTY equal V0 في T minus
+
+28
+00:02:33,480 --> 00:02:41,880
+half GT2 و V2 equal V02 minus 2GY تمام و اتفقنا
+
+29
+00:02:41,880 --> 00:02:47,940
+عشان ما نتغلبش و نقعد نقول plus و negative هادي
+
+30
+00:02:47,940 --> 00:02:53,320
+بادي في الأسئلة تمام بقولنا إننا نأسسنا شغلة خلّي
+
+31
+00:02:53,320 --> 00:02:58,460
+دائما هذه و التلات معادلات مايتغيروشبالسلب تبعهم
+
+32
+00:02:58,460 --> 00:03:03,860
+بغض النظر عن طبيعة السؤال بس نحط في باننا أنه
+
+33
+00:03:03,860 --> 00:03:08,780
+دائما اتجاهي اللي الأعلى هو موجب وكل كمية velocity
+
+34
+00:03:08,780 --> 00:03:12,500
+displacement الـ acceleration هي المعروفة لازم
+
+35
+00:03:12,500 --> 00:03:16,520
+تطلع عليها لأعلى بحطها موجبة لأسفل وخلاص إذا
+
+36
+00:03:16,520 --> 00:03:21,820
+المعاجلات هتبديش أغيرها إطلاقا بغض النظر عن اتجاه
+
+37
+00:03:21,820 --> 00:03:27,860
+الحركة هجي الصاعد نازل هو حر ماليش جعب فيهفبقولني
+
+38
+00:03:27,860 --> 00:03:32,020
+الـ gravitational acceleration G هو مستمر في مدينة
+
+39
+00:03:32,020 --> 00:03:36,380
+ومدينة وكنا متفقين على هذه المعلومة أن تسارع
+
+40
+00:03:36,380 --> 00:03:40,820
+الجاذبية ثابت مقدار المتجاهة مقداره اتفقنا 9.8 متر
+
+41
+00:03:40,820 --> 00:03:44,300
+per second square واتجاهه عمودي إلى أسفل هل هناك
+
+42
+00:03:44,300 --> 00:03:47,880
+أي خلاف على هذه النقطة؟ كنا متفقين على ذلك أن
+
+43
+00:03:47,880 --> 00:03:52,450
+تسارع الجاذبية لا تتغيرالجسم طالع .. تجاذب ..
+
+44
+00:03:52,450 --> 00:03:57,670
+تجالب الجاذبية إلى أسفل تسارع الجاذبية الجسم نازل
+
+45
+00:03:57,670 --> 00:04:01,710
+.. تسارع الجاذبية إلى أسفل لا يتغير .. بغض النظر
+
+46
+00:04:01,710 --> 00:04:05,950
+عن طبيعة الحركة تمام .. إذا انها تقهاش بقول ..
+
+47
+00:04:05,950 --> 00:04:10,110
+this means that the negative signs in the
+
+48
+00:04:10,110 --> 00:04:14,530
+equations will not be changed ..مش هتغيرهم إنت إلا
+
+49
+00:04:14,530 --> 00:04:18,510
+إذا إجا وصولت أنت خبير وصولت أنت متعود عليك شغلات
+
+50
+00:04:20,540 --> 00:04:24,140
+unless you change your positive sense بكتخيه كل ال
+
+51
+00:04:24,140 --> 00:04:27,540
+sense تبعك و أنا بصحش الآن في هذه المرحلة انه نغير
+
+52
+00:04:27,540 --> 00:04:30,280
+ال sense ساعتها بنجلي بشغلات كتيرة و في البداية
+
+53
+00:04:30,280 --> 00:04:33,620
+بصيروا حد يخربط بيصيروا يقولوا وقتش بيعملوا هيك و
+
+54
+00:04:33,620 --> 00:04:36,680
+وقتش بيعملوا هيك لأ هذه المعادلات لما نغيرها
+
+55
+00:04:37,580 --> 00:04:41,800
+والتجاه الموجب هو الأعلى كل كمية الأعلى بيكون
+
+56
+00:04:41,800 --> 00:04:45,860
+positive وكل كمية ك vectors طبعا إلى أسفل هتكون
+
+57
+00:04:45,860 --> 00:04:49,860
+negative في استفصال على هذه الشغلات تمام؟ إذن هذا
+
+58
+00:04:49,860 --> 00:04:56,560
+هو ال free falling bodies بدا نبدر حلم سهلبقولي أن
+
+59
+00:04:56,560 --> 00:05:02,480
+object is thrown vertically upward أين قذفته؟
+
+60
+00:05:02,480 --> 00:05:06,940
+لأعلى .. upward .. thrown vertically upward جيبت
+
+61
+00:05:06,940 --> 00:05:11,840
+جسم و رميته لفوق with initial speed of 25 meters
+
+62
+00:05:11,840 --> 00:05:16,780
+per second أول ما ضربته، ضربته بسرعة مخدرها 25 متر
+
+63
+00:05:16,780 --> 00:05:20,220
+per second لأعلى هجيت هذه السرعة ولا لا؟ السرعة
+
+64
+00:05:20,220 --> 00:05:24,790
+أبتدائية تمام السرعة vectorبتكون موجبة ولا سالب؟
+
+65
+00:05:24,790 --> 00:05:30,430
+موجبة لأنها Upward لأنها Upward اتفقنا كل حاجة
+
+66
+00:05:30,430 --> 00:05:34,830
+الأعلى، بتكون موجبة، اذا هذه لو بدي اكتب معطياتي
+
+67
+00:05:34,830 --> 00:05:38,850
+زي ما اتفقنا، بدي اقول V0 بساوي زائد 25 متر per
+
+68
+00:05:38,850 --> 00:05:41,610
+second صحيح ولا لأ؟ طبعا مديني محطة غير هذه
+
+69
+00:05:41,610 --> 00:05:45,530
+المحطة، لحتى الآن ليش محطة، ليش بالطبع؟How long
+
+70
+00:05:45,530 --> 00:05:49,770
+does it take to reach the maximum height؟ جديش
+
+71
+00:05:49,770 --> 00:05:53,850
+زمان عشان يصل لأقصى ارتفاع له؟ حلو، واحدة واحدة
+
+72
+00:05:53,850 --> 00:05:56,590
+عندنا، بس نجيب الهدف وبعدين نتفرج معاكم What is
+
+73
+00:05:56,590 --> 00:05:59,270
+the maximum height؟ طيب، بدي زمان يصل لأقصى
+
+74
+00:05:59,270 --> 00:06:03,390
+ارتفاع، جديش هذا الأقصى ارتفاع؟ مطلوب How long
+
+75
+00:06:03,390 --> 00:06:05,970
+does it take to return to the ground؟ رميته أنا من
+
+76
+00:06:05,970 --> 00:06:09,390
+الطاولة و بده يرجع للطاولة جديش أخد وجهة عشان يرجع
+
+77
+00:06:09,390 --> 00:06:13,860
+للطاولة؟What is its velocity just before striking
+
+78
+00:06:13,860 --> 00:06:17,560
+the ground؟ قبل ما يضرب الطاولة بالظبط، مش بعد ما
+
+79
+00:06:17,560 --> 00:06:23,500
+ضربها، بعد ما ضربها، بجف، صح؟ و بعد ما ضربها،
+
+80
+00:06:23,500 --> 00:06:26,560
+بيبطل الـfree-falling، بيصير فيه قوة جديدة عليه،
+
+81
+00:06:26,560 --> 00:06:29,840
+قوة الطاولة عليه، و بتبطل الـfalling، و الـfalling
+
+82
+00:06:29,840 --> 00:06:33,740
+إيش بيقول؟ إيش القوة الوحيدة؟ الجاذبية الأرضية،
+
+83
+00:06:33,740 --> 00:06:37,120
+عشان قاللي قبل ما يضرب الأرض، بعد كده صارت حركة
+
+84
+00:06:37,120 --> 00:06:41,750
+جديدة، صارت حركة التصادم، إذا سمعتوا عنهاالتصادم
+
+85
+00:06:41,750 --> 00:06:45,470
+فيه قوة تانية وبعدين نحكي عنها إذا just دايما just
+
+86
+00:06:45,470 --> 00:06:49,750
+قبل مباشرة يعني لو واحد على الباب بنقول just
+
+87
+00:06:49,750 --> 00:06:54,030
+outside the room لكن لو واحد في طلال الهواء بيقولش
+
+88
+00:06:54,030 --> 00:06:56,530
+just outside .. outside the room صح ولا لأ؟ لكن هو
+
+89
+00:06:56,530 --> 00:06:59,530
+أقف على الباب بيقولش just outside the room هذه
+
+90
+00:06:59,530 --> 00:07:04,590
+معناة just بتيجي تمام نجي نشوف هذه الجسم طلعنا
+
+91
+00:07:06,230 --> 00:07:11,710
+انقدث الجسم كان على الأرض طلعته بسرعة ابتدائية لا
+
+92
+00:07:11,710 --> 00:07:14,450
+فوق وصل لأقصى ارتفاع تمام
+
+93
+00:07:17,800 --> 00:07:20,920
+هذه اتجاهة 25 متر per second التي هي السرعة
+
+94
+00:07:20,920 --> 00:07:24,760
+الأبتدائية، صحيح ولا لا؟ قدفة طولة أعلى، بيقول لي
+
+95
+00:07:24,760 --> 00:07:28,580
+أنا أقصى الارتفاع، إيش معناه أقصى الارتفاع؟ لو إنه
+
+96
+00:07:28,580 --> 00:07:32,700
+سرعة من السفر، بجاف، بيقول له طالع، إذا الشغل
+
+97
+00:07:32,700 --> 00:07:35,600
+المنطقي يقول لي أقصى الارتفاع لأنه مش قادر يطلع
+
+98
+00:07:35,600 --> 00:07:40,450
+أكتر من كده، معناته يتوقف لحظيا، بعد كده ينزلإذا
+
+99
+00:07:40,450 --> 00:07:44,530
+المعلومة اللي بدنا نفهمها عند أقصى ارتفاع السرعة
+
+100
+00:07:44,530 --> 00:07:49,430
+هنا جدتش تساوي Zero إذا هذه معلومة ما جليش إياها
+
+101
+00:07:49,430 --> 00:07:53,250
+بس أنا بدي أفهمها من المعنى تبعها لأنه لو مش سفر
+
+102
+00:07:53,250 --> 00:07:56,390
+بطل أقصى لسه بدي طلع كمان يعني لو عند هذه النقطة
+
+103
+00:07:56,390 --> 00:08:01,110
+مش موقفش بيبقى طالع صح ولا لا؟ إذا أنا المعلومة
+
+104
+00:08:01,110 --> 00:08:03,770
+اللي بدي إياها بعدين بدي نزل فتكمل نزوله هذه
+
+105
+00:08:03,770 --> 00:08:09,640
+الحركة تبعته طلع و نزلبيقولي at the maximum point
+
+106
+00:08:09,640 --> 00:08:13,460
+عند أقصى نقطة، جدش V؟ Zero لتو اتفقنا أنه وياكم
+
+107
+00:08:13,460 --> 00:08:16,500
+عليها، وكلكم فاهمينها السرعة النهائية عند هذك
+
+108
+00:08:16,500 --> 00:08:20,360
+اللحظة، عند أقصى ارتفاع، كانت نهائية، مش كاملة،
+
+109
+00:08:20,360 --> 00:08:24,380
+لأن النهائية أرت، في الآخر، إذن، تمام using the
+
+110
+00:08:24,380 --> 00:08:28,460
+equation، هجيت بيقولي عندك سرعة إتدائية 25، سرعة
+
+111
+00:08:28,460 --> 00:08:34,440
+نهائية 0، تمام؟ والتلت معادلات، هذه 0، هذه معطية،
+
+112
+00:08:34,440 --> 00:08:38,340
+مظبوط ولا لأ؟T بدي إياها وهذا الكمبيوتر فيه أحد لم
+
+113
+00:08:38,340 --> 00:08:42,060
+يعرفه هذا؟ تسعة point؟ إيه؟ وهو عشان مش عارف مش
+
+114
+00:08:42,060 --> 00:08:45,860
+بده .. إيه؟ how long؟ يعني عايز مش بيسأله ع الزمن
+
+115
+00:08:45,860 --> 00:08:50,840
+يعني بده هذا إذا كان المعادلة جاهزة تمام؟ اللي ضال
+
+116
+00:08:50,840 --> 00:08:55,780
+إيه؟ الكالكوليتة يشتغل فبنقول using the equation V
+
+117
+00:08:55,780 --> 00:09:03,250
+equal V naught minus GT هذه سفرT هذي بنوديها هناك
+
+118
+00:09:03,250 --> 00:09:09,190
+هي عاملة كاملة V0-V على G جدتش V؟ Zero عند maximum
+
+119
+00:09:09,190 --> 00:09:14,810
+height هذي Zero و هذي؟ و هذي؟ بتطلع الكاركولية
+
+120
+00:09:14,810 --> 00:09:18,970
+للجواب صحيح ولا لأ؟ ها هي طلعت الكاركولية للجواب 2
+
+121
+00:09:18,970 --> 00:09:24,830
+.55 Second أظنش في حد عنده مشكلة و اللي عنده مشكلة
+
+122
+00:09:24,830 --> 00:09:29,460
+بس أن في حد يرفع أصبعه و يسأل عن أي شيءفي شيء
+
+123
+00:09:29,460 --> 00:09:33,420
+مشكلة المعلومة الجديدة at the maximum point السرعة
+
+124
+00:09:33,420 --> 00:09:38,980
+قدش بتكون 6.8 بس هي بيجيب وها دي معروفة من تعريف
+
+125
+00:09:38,980 --> 00:09:44,680
+maximum يعني طيب الآن بدوا what is the maximum
+
+126
+00:09:44,680 --> 00:09:47,260
+height عن إيش بيسأل؟ عن كتلة ولا عن مسافة ولا عن
+
+127
+00:09:47,260 --> 00:09:51,680
+سرعة ولا إيش؟ عن مسافة بدوا ال maximum height أكتر
+
+128
+00:09:51,680 --> 00:09:57,770
+متر يعني إذا بدوا مسافة قاللي هذا بيجيبهاو هدا
+
+129
+00:09:57,770 --> 00:10:01,790
+بيجيبها ليش هدا بيجيبها لإنه زمن نعرف و ليش هدا
+
+130
+00:10:01,790 --> 00:10:07,810
+بيجيبها لإنه هدى قداش هدى سفر و هدى خمسة و عشرين و
+
+131
+00:10:07,810 --> 00:10:12,350
+هدى صحاب اللي احنا وياصلنا تسعة point تمانية طبعا
+
+132
+00:10:12,350 --> 00:10:15,950
+بدكم هدا و لا بدكم هدا كل واحد نشوف إيش احنا
+
+133
+00:10:15,950 --> 00:10:19,670
+مختارين the maximum height is the vertical
+
+134
+00:10:19,670 --> 00:10:22,820
+distanceهي المسافة العمودية يعني عشان يقولي why
+
+135
+00:10:22,820 --> 00:10:26,880
+بدوا إياها تمام؟ with z equal to zero using the
+
+136
+00:10:26,880 --> 00:10:31,020
+equation أنا استخدمت هذا القانون ليش؟ قولت و الله
+
+137
+00:10:31,020 --> 00:10:34,660
+هذه ال T أنا طلعتها طولي لأ بس أكون طلعتها غلط
+
+138
+00:10:34,660 --> 00:10:38,120
+مظبوط ولا لأ؟ خليني أروح على هذا و أنا مأمن أنه
+
+139
+00:10:38,120 --> 00:10:42,900
+مافيش غلط طبعا حتى لو طلعت هذه غلط و عوّطه و الغلط
+
+140
+00:10:42,900 --> 00:10:47,120
+تبع T مش مشكلة المهم هذه المواعيد اللي بنجيبها
+
+141
+00:10:47,120 --> 00:10:51,460
+يعني بس احنا روحنا للأمامده ما .. طبعا .. بنجيب
+
+142
+00:10:51,460 --> 00:10:54,420
+هذه و بعدين بنعود عليها هذه .. اذا طلعت جوابين ..
+
+143
+00:10:54,420 --> 00:10:57,320
+بكون أعمل test تجوابين .. لها الجواب و ليه جابت ..
+
+144
+00:10:57,320 --> 00:11:00,580
+صح ولا لا .. اتأكدت أنه في تواطف إيجابتي و بطلع و
+
+145
+00:11:00,580 --> 00:11:03,900
+بقول هذا السؤال خلاص .. على مكاننا .. صحيح ولا لأ
+
+146
+00:11:03,900 --> 00:11:06,520
+.. فالواحد لما يكون في عنده أكتر من قانون بيجيب
+
+147
+00:11:06,520 --> 00:11:11,460
+الجواب .. صح واف .. أحسن .. بكون رجعت و أنا غصب
+
+148
+00:11:11,460 --> 00:11:18,080
+عني رجعت يعني .. طناب .. طلعت ..منها هادي 0 هاه
+
+149
+00:11:18,080 --> 00:11:20,880
+تمام هاي هذين و التربيع نقص فيه تربيع اللي بدأ
+
+150
+00:11:20,880 --> 00:11:25,680
+أقول عنها zero على T and G فطلعت 25 تربيع من ذاكر
+
+151
+00:11:25,680 --> 00:11:28,360
+قداشر بدون calculator 625
+
+152
+00:11:31,720 --> 00:11:34,660
+طبعا الكاركوليتا بتجيبها يعني بس لازم تشغلها زي
+
+153
+00:11:34,660 --> 00:11:38,760
+خمسة تربيع بدها الكاركوليتا حفظينها يعني تهرب
+
+154
+00:11:38,760 --> 00:11:42,280
+وتلاتة تربية طب الحمد لله ضاير فيه شغلات حفظينها
+
+155
+00:11:42,280 --> 00:11:50,110
+الحمد لله تمام فطلعت 31.9 متر حلوبرضه سهلة لو جيت
+
+156
+00:11:50,110 --> 00:11:55,370
+عوض هنا لازم يطلع نفس الجواب لازم يطلع نفس الجواب
+
+157
+00:11:55,370 --> 00:12:02,190
+هحط هنا 25 في 2.55 minus half جي 2.55 تربيع طلعوها
+
+158
+00:12:02,190 --> 00:12:07,770
+هتطلع عندكم بالظبط 31.9 متر اكيد مافيش شي هجدا لأن
+
+159
+00:12:07,770 --> 00:12:12,070
+هناك انا طلعت الزمن صح مافيش شي عندى مشكلة نرجع
+
+160
+00:12:12,070 --> 00:12:15,030
+ايش المطلوب C how long does it take to return to
+
+161
+00:12:15,030 --> 00:12:24,720
+the groundطبعا C كيف بدي أجيب الزمن الحني لما طلعت
+
+162
+00:12:24,720 --> 00:12:32,440
+عودت نزلت؟ طبعا زمن الصعود بسوي زمن الهبوط غلط هذا
+
+163
+00:12:32,440 --> 00:12:39,080
+مصطلح مش صح مش جايما بدي أرمي هذا الحجر هذا الجلم
+
+164
+00:12:39,080 --> 00:12:43,560
+هناتمام؟ صعد و نزل على الأرض زمن الصعود بيساوي زمن
+
+165
+00:12:43,560 --> 00:12:47,080
+الهبور؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+166
+00:12:47,080 --> 00:12:47,120
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+167
+00:12:47,120 --> 00:12:49,500
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+168
+00:12:49,500 --> 00:12:49,520
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+169
+00:12:49,520 --> 00:12:56,460
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+170
+00:12:56,460 --> 00:12:59,580
+لأ
+
+171
+00:13:02,590 --> 00:13:06,630
+هذا بده سرعة نهائية و لما يروح و يرجع براشرة سرعة
+
+172
+00:13:06,630 --> 00:13:12,030
+نهائية مطلوبة منه طب هذا جانيه هنجرب هذا بجيه تيه؟
+
+173
+00:13:12,030 --> 00:13:18,710
+بدي هذه صح؟ هل جيت واحد راح من غزة على جبالة و رجع
+
+174
+00:13:18,710 --> 00:13:24,350
+على غزة كده؟ سهل صح؟ طيب واحد طلع من الأرض و رجع
+
+175
+00:13:24,350 --> 00:13:29,370
+على الأرض كده؟ سهل إذا هذي why سهل؟ طلع على
+
+176
+00:13:29,370 --> 00:13:33,020
+الطاولة و رجع على الطاولةجدّيش Y تبعته؟ Zero ..
+
+177
+00:13:33,020 --> 00:13:34,200
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+178
+00:13:34,200 --> 00:13:35,860
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+179
+00:13:35,860 --> 00:13:37,000
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+180
+00:13:37,000 --> 00:13:37,020
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+181
+00:13:37,020 --> 00:13:38,540
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+182
+00:13:38,540 --> 00:13:39,960
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+183
+00:13:39,960 --> 00:13:41,060
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+184
+00:13:41,060 --> 00:13:43,100
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+185
+00:13:43,100 --> 00:13:54,700
+Zero .. Zero ..
+
+186
+00:13:54,700 --> 00:13:58,780
+Zero
+
+187
+00:13:58,780 --> 00:14:03,140
+.. Zeroمسافة طولية ما أقسم اللي هو الاتفاق اللي هو
+
+188
+00:14:03,140 --> 00:14:06,880
+ارتفاع الطاولة بدي بارتفاع الطاولة في النهاية عندي
+
+189
+00:14:06,880 --> 00:14:10,680
+جواب ولا لا أعوض بحلل Y هنا سفر مش سفر اتنين متر
+
+190
+00:14:10,680 --> 00:14:13,920
+بحط اتنين متر في الآخر في معادلة بعود عنها ولا لا
+
+191
+00:14:13,920 --> 00:14:17,380
+طبعا مش هيقولك ارتفع انقذف عن طاولة و بعدين قولوله
+
+192
+00:14:17,380 --> 00:14:19,500
+جديش الطاولة ويقولك ماعرفش أنا عارفش لحالك لكي
+
+193
+00:14:19,500 --> 00:14:22,440
+تجيب المتر بالجسيم لازم يديك المعطى كامل فبتكون
+
+194
+00:14:22,440 --> 00:14:29,350
+معلومة عندك واضحة تمامبالتالي ما زال انطلق من نقطة
+
+195
+00:14:29,350 --> 00:14:32,750
+و رجع لنفس النقطة في الـ free falling إذا بتكون Y
+
+196
+00:14:32,750 --> 00:14:38,770
+تبعته جد ياش؟ Zero Y بتكون Zeroعند عودة إلى الأرض
+
+197
+00:14:38,770 --> 00:14:42,850
+عند عودة إلى الأرض الـ Total Displacement of the
+
+198
+00:14:42,850 --> 00:14:46,830
+object is Zero قطعا، هذا ما أركزنا عليها عدة مرات،
+
+199
+00:14:46,830 --> 00:14:49,790
+راح من غزة لجبالي و رجع لغزة، قولنا Zero، لا
+
+200
+00:14:49,790 --> 00:14:53,990
+نحسنها، صحيح ولا لا، طلع، عوض، رجع، ماعملش إشي
+
+201
+00:14:53,990 --> 00:14:57,970
+نقطة البداية و نقطة النهاية واحدة و Displacement X
+
+202
+00:14:57,970 --> 00:15:00,790
+Final نقص X Initial إذا الـ X Final و X Initial
+
+203
+00:15:00,790 --> 00:15:05,950
+إذا البعضفي إزاحة؟ فيش إزاحة؟ تمام قاللي حلو قاللي
+
+204
+00:15:05,950 --> 00:15:10,750
+تعالي هنا رجالي على هذه المعادلة حط صفر هذه 25
+
+205
+00:15:10,750 --> 00:15:17,550
+بالبالك و هذه معروفة ايش تظل مجهوله ايه؟ فيه
+
+206
+00:15:17,550 --> 00:15:23,780
+مشكلة؟ رياضيا مافيش عندي مشكلةكتبت المعادلة y
+
+207
+00:15:23,780 --> 00:15:28,220
+equal v0 في t minus half gt squared عوّد عن ال y ب
+
+208
+00:15:28,220 --> 00:15:33,700
+0 عن ال v0 ب 25 و حطيت ال t طبعا هذه معادلة جبريه
+
+209
+00:15:33,700 --> 00:15:36,280
+يا ابنها بقدر أجسم ع t المعادلة تاني؟ المعادلة
+
+210
+00:15:36,280 --> 00:15:42,380
+جسمها ع t سفر ع t قداش يعني هذه دالة سفر و هذه t
+
+211
+00:15:42,380 --> 00:15:49,100
+راحت و هذه دالش إلى t إذا ال t بتساوي 25 في 2 ع 9
+
+212
+00:15:49,100 --> 00:15:52,680
+ع 8 يعنيصحيح ولا لا؟ هذه المعادلة صارت سهل، هدا هي
+
+213
+00:15:52,680 --> 00:16:00,900
+25 و بنص ال 9.8 او 4.9 طلعت 5.1 second طبعا لو
+
+214
+00:16:00,900 --> 00:16:05,740
+تتطلعوا أن زمن الصعود كان 2.55 نص هدا، بقى سادي
+
+215
+00:16:05,740 --> 00:16:09,540
+بقيت chance تمام؟ مابتناش يحفظ قانون اللي هو زمن
+
+216
+00:16:09,540 --> 00:16:13,140
+الصعود بيساوي زمن الهبوط لإنه مش دائما تمام؟ فيها
+
+217
+00:16:13,140 --> 00:16:13,800
+إيه السفسار؟
+
+218
+00:16:27,600 --> 00:16:32,300
+هذه الحلقة ليست اقتصادية لـ y أكتر أو لا؟ لأ لأ لأ
+
+219
+00:16:32,300 --> 00:16:38,980
+لأ لأ لأ لأ لأ لأ لأ
+
+220
+00:16:38,980 --> 00:16:40,120
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+221
+00:16:40,120 --> 00:16:40,900
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+222
+00:16:40,900 --> 00:16:49,920
+لأ لأ لأ لأ لأ لأ
+
+223
+00:16:51,030 --> 00:16:54,990
+طبعا بيقول الان to find the velocity of the motion
+
+224
+00:16:54,990 --> 00:17:02,250
+طب هنرجع أنا أرجع للرسمة بدي يدرب القاولة هو طالع
+
+225
+00:17:02,250 --> 00:17:05,430
+ولا هو نازل؟ هو نازل .. هو نازل .. هو نازل .. هو
+
+226
+00:17:05,430 --> 00:17:06,010
+نازل .. هو نازل .. هو نازل .. هو نازل .. هو نازل
+
+227
+00:17:06,010 --> 00:17:08,470
+.. هو نازل .. هو نازل .. هو نازل .. هو نازل .. هو
+
+228
+00:17:08,470 --> 00:17:12,210
+نازل .. هو نازل .. هو نازل .. هو نازل .. هو نازل
+
+229
+00:17:12,210 --> 00:17:12,570
+.. هو نازل .. هو نازل .. هو نازل .. هو نازل .. هو
+
+230
+00:17:12,570 --> 00:17:12,970
+نازل .. هو نازل .. هو نازل .. هو نازل .. هو نازل
+
+231
+00:17:12,970 --> 00:17:13,690
+.. هو نازل .. هو نازل .. هو نازل .. هو نازل .. هو
+
+232
+00:17:13,690 --> 00:17:15,550
+نازل .. هو نازل .. هو نازل .. هو نازل .. هو نازل
+
+233
+00:17:15,550 --> 00:17:21,300
+..إذا أريد أن أحل الجواب لازم تطلع الـV المهائية
+
+234
+00:17:21,300 --> 00:17:24,460
+سالبة لأنها لأسفل والتفاق ما يقولش لأسفل ما يجب أن
+
+235
+00:17:24,460 --> 00:17:27,720
+يكون سالب إذا لم تطلع سالب يجب أن يجب أن يقول شيء
+
+236
+00:17:27,720 --> 00:17:33,320
+غلط هذا ليش ينجح؟ لكي
+
+237
+00:17:33,320 --> 00:17:42,140
+نجد السرعه الأخيرة للحركة نستخدم الميكروفع V إكوال
+
+238
+00:17:42,140 --> 00:17:50,380
+بي نوت مانوس GTصحيح؟ الكلية أو طلعت نقص 25 متر per
+
+239
+00:17:50,380 --> 00:17:54,720
+second طلعت، سالم، واحد يقول غلط؟ لأ، بالعكس هي
+
+240
+00:17:54,720 --> 00:17:57,220
+الصحيحة طيب، واحد يقول فاهم انت ليش اللي روحت هنا،
+
+241
+00:17:57,220 --> 00:18:08,620
+تعال يا عادي، يجي نجرب V² equal V0² minus 2GY مش
+
+242
+00:18:08,620 --> 00:18:13,560
+هيك هذا القانون؟ بدوا سرعة، هذه معروفة، هذه كاتية؟
+
+243
+00:18:14,360 --> 00:18:21,000
+هذه Zero طب أول قال لي إذا V تربية بتسوي 25 تربية
+
+244
+00:18:21,000 --> 00:18:27,820
+إذا V كده إيش؟
+
+245
+00:18:27,820 --> 00:18:35,640
+هجيت عمكم حلته معادلة من درجة تانية فيها زمن طلعته
+
+246
+00:18:35,640 --> 00:18:38,360
+مرة جواب موجب ومرة جواب سالب وإيش كنت تسويه
+
+247
+00:18:38,360 --> 00:18:44,220
+السالب؟لماذا؟ لماذا؟ لماذا؟ لأنكم جميعا تعرفون أن
+
+248
+00:18:44,220 --> 00:18:47,900
+الزمن يعود إلى الخلف؟ ليس هناك زمن سالب هل جيت
+
+249
+00:18:47,900 --> 00:18:51,740
+عندكم جوابين؟ أريد أن أرفض الجواب الموجب أريد أن
+
+250
+00:18:51,740 --> 00:18:56,680
+أرفضه لأنني أعرف أن القرة تضرب الطاولة أو الأرض و
+
+251
+00:18:56,680 --> 00:19:02,420
+هي نازلة فالموجب مرفوض والسالب المعتمد فهذا السالب
+
+252
+00:19:02,420 --> 00:19:06,430
+هو نفس السالب هذاإذن صحيح لكن لو واحد مقمن قلول
+
+253
+00:19:06,430 --> 00:19:08,990
+بتطلع موجة يعني نختار ان واحد روح حينه على طول
+
+254
+00:19:08,990 --> 00:19:11,950
+تمام و نسي انه في موجة و سالب جالس برضه يبقى
+
+255
+00:19:11,950 --> 00:19:20,030
+بالساوي 25 متر و بيبقى سكت و سكت بحاسبه انه اعتمدي
+
+256
+00:19:20,030 --> 00:19:23,890
+الموجة اللي مرفوضة و نسيلي السالب اللي مقبولة زي
+
+257
+00:19:23,890 --> 00:19:28,110
+لما واحد يكون جاعد بحل مسألة معادلة من الدرجة
+
+258
+00:19:28,110 --> 00:19:34,290
+التانية و طلع جواب سالب للزمن و جال امين بالفعلما
+
+259
+00:19:34,290 --> 00:19:38,590
+ينفعش، مش مقبول، لأن أنت بتتعامل مع سرعة، و السرعة
+
+260
+00:19:38,590 --> 00:19:41,950
+إلى أسفل، و ماخد اتجاهك الموجب إلى أعلى، لازم تكون
+
+261
+00:19:41,950 --> 00:19:45,310
+سالفة، و الجوابين بتطلع معاك سالف، مش واحد يقول
+
+262
+00:19:45,310 --> 00:19:48,110
+هنا تقعد معايا موجب، لأ، في موجب و في سالف، و
+
+263
+00:19:48,110 --> 00:19:51,210
+بالتالي بتخرج السالف، بس هنا أمام، عشان كده بقول
+
+264
+00:19:51,210 --> 00:19:55,550
+دايما لما يكون في معادلتين، واحد ماتبنساهتمام، لما
+
+265
+00:19:55,550 --> 00:19:58,610
+يكون في معاجلتين يجرب المعاجلتين، لما يلاقي هذه 25
+
+266
+00:19:58,610 --> 00:20:01,790
+وهو ناسي، هنا طلعت سالب، يتذكر أن هذه المعتمدة
+
+267
+00:20:01,790 --> 00:20:05,690
+ليست هذه، ويضع السالب ساعتها، فابتدوا عليها؟ إذا
+
+268
+00:20:05,690 --> 00:20:11,170
+واضح من طبيعة المسألة أن الكرة أو الجسم هيضرب
+
+269
+00:20:11,170 --> 00:20:16,390
+الأرض وهو Downingوبالتالي الـ Final Velocity يجب
+
+270
+00:20:16,390 --> 00:20:19,730
+أن يكون نيجاتيف يجب أن يكون نيجاتيف لا يمكن أن
+
+271
+00:20:19,730 --> 00:20:23,190
+تكون positive وإلا يكون ضرب الأرض وراسه لفوق لا
+
+272
+00:20:23,190 --> 00:20:25,790
+يمكن أن تكون كذلك دكتور في مصر الزمن السالب هل
+
+273
+00:20:25,790 --> 00:20:28,930
+يوجد طبق أتقالي في فيزيائيين فيه زمن سالب لما يكون
+
+274
+00:20:28,930 --> 00:20:32,450
+تحت الأرض مثلا سرعة الانتقال مش فيه زمن سالب؟
+
+275
+00:20:32,450 --> 00:20:36,410
+فتكمل الشغل خلاص بكالوريس وانت عارف انه مافيش زمن
+
+276
+00:20:36,410 --> 00:20:41,340
+سالب تمام؟ خلّيني أعلن ما احنا عليهالـ minus sign
+
+277
+00:20:41,340 --> 00:20:47,720
+يشير إلى أن مصادر الفلوسية تتحرك و هنا تأكيد على
+
+278
+00:20:47,720 --> 00:20:51,980
+أن السارب أنا بدور عليه وهيطلعلي سارب و بدور عليه
+
+279
+00:20:51,980 --> 00:20:57,720
+و لجته و عارف تفسيره في أي استفسار؟ سهل أمورنا ما
+
+280
+00:20:57,720 --> 00:20:58,940
+زالت صحيح؟
+
+281
+00:21:02,010 --> 00:21:06,350
+بقول Note that if we use the equation with Y
+
+282
+00:21:06,350 --> 00:21:09,710
+equals C0, we get the same result اللي تاوي حكينا
+
+283
+00:21:09,710 --> 00:21:13,430
+عنها طبعا و هذه واضحة عشان كده كان في قانون
+
+284
+00:21:13,430 --> 00:21:19,750
+بيقولوا سرعة القذف بيساوي سرعة النهاية على القالج
+
+285
+00:21:19,750 --> 00:21:23,330
+زي هيك كنا ناخدها لكن هذا طبعا القانون اللي
+
+286
+00:21:23,330 --> 00:21:28,090
+بيجيبهاكما المثال، بطريقة مختلفة، بيقول يا student
+
+287
+00:21:28,090 --> 00:21:31,270
+who stands at the edge of the roof of a building
+
+288
+00:21:31,270 --> 00:21:36,930
+واحد واقف على صدر داره، دماء، طالب، واقف، رمى كرة،
+
+289
+00:21:36,930 --> 00:21:39,590
+واقف على الحفة بالظبط، لما رمى الكرة، الكرة ما
+
+290
+00:21:39,590 --> 00:21:43,070
+جيتش عنده، سجتت على الأرض، لأن هو واقف على الحفة
+
+291
+00:21:43,070 --> 00:21:46,650
+هو، لما رمى الكرة، من عند الصدر، سجتت، سجتت على
+
+292
+00:21:46,650 --> 00:21:51,390
+الأرض، هو دا كلها الأرض، دماءthrows a ball
+
+293
+00:21:51,390 --> 00:21:55,650
+vertically upward برضه قذف القراء إلى أعلى يعني
+
+294
+00:21:55,650 --> 00:22:00,230
+أسرع الإتدائي و جمع صح ولا لأ؟ حلو؟ with an
+
+295
+00:22:00,230 --> 00:22:02,890
+initial speed of twenty meters per second دالنا
+
+296
+00:22:02,890 --> 00:22:06,950
+القيمة the building is fifty meters high و ال
+
+297
+00:22:06,950 --> 00:22:11,950
+building خمسين متر ارتفاعه مين يقدللي أكم طابق؟
+
+298
+00:22:11,950 --> 00:22:22,080
+أكم طابقخمسة؟ كل طابق عشرة مدير؟ يا وردي طبعا طيب
+
+299
+00:22:22,080 --> 00:22:28,420
+الطابق كم مدر؟ عشرة مدر؟ تلاتة بس تلاتة أقصى أشهر
+
+300
+00:22:28,420 --> 00:22:33,180
+أربعة؟ فيش أربعة، بوصلت في دار ولا في حاصل؟ حاصل
+
+301
+00:22:33,180 --> 00:22:38,100
+أربعة في دار، في العمول، في البيت، الحلقة أنت لما
+
+302
+00:22:38,100 --> 00:22:41,640
+تجي تجيب تعمل إستارة من فوق لتحت، في أربعة؟ فيش
+
+303
+00:22:41,640 --> 00:22:46,670
+إستارات؟أهدف ربيتكم من زمن عثماني؟ حاجات اللي
+
+304
+00:22:46,670 --> 00:22:53,710
+كانوا يعملوها طويل زمان عشان يهووا؟ لا بمشي بمشي
+
+305
+00:22:53,710 --> 00:22:58,830
+بمشي تلاتة صارت جديمة صارت 2.8 حتى عشان يختصروا
+
+306
+00:22:58,830 --> 00:23:04,610
+الطوابق اجيسيها اتركها لعالله لإن أصلا الستايرات
+
+307
+00:23:04,610 --> 00:23:08,230
+ميجيش أكتر من تلاتة يا بنات يعني طبعا تلاتة مع
+
+308
+00:23:08,230 --> 00:23:10,730
+البلاط ومش عارف إيش بيصي رجال من تلاتة
+
+309
+00:23:18,430 --> 00:23:21,170
+الحواصل بيعملوها طويلة انتوا بتشوفوا الحواصل
+
+310
+00:23:21,170 --> 00:23:24,650
+بيعملوا ستة ستة لإن هو بيكون قياسا عالية فبيقدروا
+
+311
+00:23:24,650 --> 00:23:28,410
+يعملوا ستة لكن في الشجرة غالبا تلاتة وخاط الأبراج
+
+312
+00:23:28,410 --> 00:23:32,170
+بيقدروش يعملوا تلاتة أقل عشان تقسيم الارتفاع يعني
+
+313
+00:23:32,170 --> 00:23:38,800
+2.8 2.7 حاجة زي هي المهمهذا 50 متر يعني حوالي 16
+
+314
+00:23:38,800 --> 00:23:42,820
+-17 طابق تمام؟ المهم عالي والله تمام تمام وقعد
+
+315
+00:23:42,820 --> 00:23:47,660
+بشوم الهوا ورامح الكورة ونزلت الكورة حلو and the
+
+316
+00:23:47,660 --> 00:23:50,140
+ball just missed the edge بقول ما نزلتش على الحفة
+
+317
+00:23:50,140 --> 00:23:53,260
+نزلت على الأرض missed the edge of the roof in its
+
+318
+00:23:53,260 --> 00:23:56,740
+way down وهي نازلة ما نزلتش على ال roof نزلت على
+
+319
+00:23:56,740 --> 00:24:00,310
+الأرض ايش بدك؟The time needed for the ball to
+
+320
+00:24:00,310 --> 00:24:04,830
+return to the level of the roof أول ما وصلت لمكانه
+
+321
+00:24:04,830 --> 00:24:09,270
+جدّيش الزمن اللي وصله لنفس مكانه بعد كده بدا تكمل
+
+322
+00:24:09,270 --> 00:24:12,790
+The velocity and the position of the ball at T5
+
+323
+00:24:12,790 --> 00:24:16,390
+equal five seconds وقولّي بعد خمس ثواني جيبلي وين
+
+324
+00:24:16,390 --> 00:24:22,270
+الكرة وجدّي سرعتها تمام؟the velocity of the ball
+
+325
+00:24:22,270 --> 00:24:28,770
+just before hitting the ground قبل ما يضرب الأرض
+
+326
+00:24:28,770 --> 00:24:33,210
+بالظبط هل في هذه الحالة زمن الصعود بالزمن الهبوط؟
+
+327
+00:24:33,210 --> 00:24:38,730
+لأ طبعا هاي ال building تبع ال 16 طابق وهي الكرة
+
+328
+00:24:38,730 --> 00:24:43,130
+اللي هنا بدي يضرب ضربها فوق وهي راجعة
+
+329
+00:24:49,320 --> 00:24:55,580
+وهذه 50 متر لأي حاجة في هذه الصراعة تمام المطلوب
+
+330
+00:24:55,580 --> 00:24:58,660
+الأول الوقت اللي كان محتاجه للبول هو الوصول إلى
+
+331
+00:24:58,660 --> 00:25:02,600
+مستوى الروف لنفس مستوى الروف يعني هنا بدوياها
+
+332
+00:25:02,600 --> 00:25:09,840
+بالظبط جداش T لما وصل لها T جداش بالساوية طيب
+
+333
+00:25:09,840 --> 00:25:13,780
+لزاحة سفره T هو لما رلاها ورجعت الساعة وقفت ما شاء
+
+334
+00:25:13,780 --> 00:25:18,570
+اللهو في حد بيقدر يوقف الساعة؟ مش يوقفها، يخرّبها،
+
+335
+00:25:18,570 --> 00:25:22,290
+يوقف الزمن يعني، في حد بيقدر يوقف الزمن؟ لأ، في،
+
+336
+00:25:22,290 --> 00:25:25,550
+يعني مافيش، في زمن ماينفعش يكون Zero، راحت، شمت
+
+337
+00:25:25,550 --> 00:25:30,750
+الهواء ومشيت، و الزمن واقف، إذا في زمن، تمامهذا
+
+338
+00:25:30,750 --> 00:25:33,950
+أول مقلوب The velocity and the position of the
+
+339
+00:25:33,950 --> 00:25:36,690
+ball أتي بـ 0.5 ثقافة ساكنة هجيت بعد خمس ثواني
+
+340
+00:25:36,690 --> 00:25:40,350
+بقول يا ترى كانت هنا و لا كانت هنا و لا كانت هنا
+
+341
+00:25:40,350 --> 00:25:45,050
+مظبوط و لا لأ قدت خيارات عندي هجيت لو كانت من هال
+
+342
+00:25:45,050 --> 00:25:48,330
+لهام السرعة هتكون الأعلى و لا الأسفل لأعلى لأ تكون
+
+343
+00:25:48,330 --> 00:25:55,070
+موجة لو كانت هال سالفة لو كانت هال سالفة الشيء
+
+344
+00:25:55,070 --> 00:25:59,310
+التالي ايش بدي أعرف إنه هنا و لا هنا بقوله الإزاحة
+
+345
+00:26:01,950 --> 00:26:06,550
+إذا الإزاحة موجة دا معناته نقطة النهاية فوق نقطة
+
+346
+00:26:06,550 --> 00:26:11,770
+البداية صح؟ هي الإزاحة مش من النهاية .. من البداية
+
+347
+00:26:11,770 --> 00:26:17,270
+لنهاية هي البداية يا بناتي initial هي final من
+
+348
+00:26:17,270 --> 00:26:21,370
+الصمم لسهم الإزاحة الآن لفوق .. يعني كيف السهم
+
+349
+00:26:21,370 --> 00:26:27,810
+هيقول لأعلى لكن لو كان ال final هنا بتكون الأسفل
+
+350
+00:26:28,910 --> 00:26:33,230
+طيب، لو الجسم هنا اللي زحموه جابوه ولا سالبه؟ موجة
+
+351
+00:26:33,230 --> 00:26:34,990
+بقى، موجة بقى، موجة بقى، موجة بقى، موجة بقى، موجة
+
+352
+00:26:34,990 --> 00:26:35,890
+بقى، موجة بقى، موجة بقى، موجة بقى، موجة بقى، موجة
+
+353
+00:26:35,890 --> 00:26:36,070
+بقى، موجة بقى، موجة بقى، موجة بقى، موجة بقى، موجة
+
+354
+00:26:36,070 --> 00:26:36,570
+بقى، موجة بقى، موجة بقى، موجة بقى، موجة بقى، موجة
+
+355
+00:26:36,570 --> 00:26:42,710
+بقى، موجة بقى، موجة بقى، موجة بقى، موجة بقى، موجة
+
+356
+00:26:42,710 --> 00:26:51,190
+بقى، موجة بقى، موجة بقى، موجة
+
+357
+00:26:51,190 --> 00:26:56,360
+ببتطلع ولا بتنزلوا؟ هذه نقطة النهاية فعلا هنا
+
+358
+00:26:56,360 --> 00:27:02,000
+بانزل عشان أصله و لا باطلع إذا بيكون باطلع طلوع
+
+359
+00:27:02,000 --> 00:27:05,400
+هذه البداية وهذه النهاية بتكون positive لكن لو كان
+
+360
+00:27:05,400 --> 00:27:09,160
+ال guess in her تنزل منها لها منها لها تنزل نزول
+
+361
+00:27:09,160 --> 00:27:15,820
+إذا أنا بقدر أعرف إنه ساعد ولا نازل من السرعة تحت
+
+362
+00:27:15,820 --> 00:27:19,540
+المبنى ولا فوق المبنى من الإزاحة موجبة أو سالبة صح
+
+363
+00:27:19,540 --> 00:27:27,190
+ولا لأ؟ طيبجابل ما نكمل هنا جديش يزاحتوا؟ تتصرعوا
+
+364
+00:27:27,190 --> 00:27:31,750
+جديش انتوا؟ هجيب نبدأ، حطوا أصبعكم على البداية،
+
+365
+00:27:31,750 --> 00:27:34,410
+كلكم يتفقوا معايا أصبعكم على البداية، في الهواء،
+
+366
+00:27:34,410 --> 00:27:37,550
+ماتيجوش هنا تحطوا أصبعكم، تمام؟ أصبعكم على البداية
+
+367
+00:27:37,550 --> 00:27:43,590
+ومشوا عن نهاية نزلين، جديش نزلتوا؟ خمسين بالثالث
+
+368
+00:27:44,900 --> 00:27:47,780
+عشان كده ما قلت بقدرش أقول زي من الصعود بيساوي زي
+
+369
+00:27:47,780 --> 00:27:52,500
+من الربوه و اللي توي حكته ازميلتكم انت اظن انت
+
+370
+00:27:52,500 --> 00:27:59,940
+حيها خمسين بس بيضحطوا بالساري نرجع كمان مرة بيقول
+
+371
+00:27:59,940 --> 00:28:03,160
+when the poor retains to the level كان هنا .. إيه
+
+372
+00:28:03,160 --> 00:28:07,780
+هنا هرجل؟ مين يقولي قدش why؟ كان هنا إيجي هنا؟ هنا
+
+373
+00:28:07,780 --> 00:28:11,750
+why بتساوي سفره؟راح ورجع بيقول when the ball
+
+374
+00:28:11,750 --> 00:28:15,050
+returns to the level of the roof its displacement
+
+375
+00:28:15,050 --> 00:28:19,430
+y is zero قاللي هذه سهلة صارت روحت لهذا القانون
+
+376
+00:28:19,430 --> 00:28:26,090
+حطيت صفر هذه عشرين هذه ت بدوا ياها وهذه معروفة
+
+377
+00:28:26,090 --> 00:28:30,230
+مازال هذه صفر بتروح ت مع هذه بتروح فبتطلع عندي
+
+378
+00:28:30,230 --> 00:28:37,050
+zero equal twenty t minus half g t square ومنها
+
+379
+00:28:37,050 --> 00:28:43,990
+طلعت تطلعت 4.08 سخلت طب أني الأن واضحة عندي بده
+
+380
+00:28:43,990 --> 00:28:47,590
+بعد خمس ثواني وين بيكون؟ نازل .. تحت .. أه بس وين؟
+
+381
+00:28:47,590 --> 00:28:49,630
+فوق المبنى ولا تحت؟ تحت .. فوق .. تحت .. تحت ..
+
+382
+00:28:49,630 --> 00:28:53,410
+هنا بيكون .. تحت .. لأن هنا 4.08 .. خمسة بيكون هنا
+
+383
+00:28:53,410 --> 00:28:55,450
+.. تحت .. إذا أنا بتوقع إذا احت تكون موجبا ولا
+
+384
+00:28:55,450 --> 00:28:57,130
+سلبة .. سلبة .. سلبة .. سلبة .. سلبة .. سلبة ..
+
+385
+00:28:57,130 --> 00:28:59,750
+سلبة .. سلبة .. سلبة .. سلبة .. سلبة .. سلبة ..
+
+386
+00:28:59,750 --> 00:28:59,770
+سلبة .. سلبة .. سلبة .. سلبة .. سلبة .. سلبة ..
+
+387
+00:28:59,770 --> 00:29:01,650
+سلبة .. سلبة .. سلبة .. سلبة .. سلبة .. سلبة ..
+
+388
+00:29:01,650 --> 00:29:09,770
+سلبة .. سلبة .. سلبصح ولا لا؟ تم اذا الان معروف
+
+389
+00:29:09,770 --> 00:29:15,930
+عند 4.08 وصل لل level رجع الان بده يكمل خمس ثوانين
+
+390
+00:29:15,930 --> 00:29:21,750
+يكون نزل تحت نجي نجرب بطلب معاه ولا لا المقلوب
+
+391
+00:29:21,750 --> 00:29:26,750
+التاني كان بده السرعة with displacement at T equal
+
+392
+00:29:26,750 --> 00:29:29,890
+five seconds فبقول using the equation V equal V
+
+393
+00:29:29,890 --> 00:29:33,850
+naught minus GT بده سرعة سرعة نهائية سرعة تدائية
+
+394
+00:29:33,850 --> 00:29:38,000
+ما معروفة عشرينو الزمن أعطانيها خمس ثواني و هو
+
+395
+00:29:38,000 --> 00:29:44,500
+أعطانيها تلعت ناقص minus 29 meter per second و أنا
+
+396
+00:29:44,500 --> 00:29:50,000
+المتوقعتمام؟ إذا اللي لابد أن يكون minus سالب عشان
+
+397
+00:29:50,000 --> 00:29:54,220
+يقول ال direction is down فطلعت minus twenty nine
+
+398
+00:29:54,220 --> 00:29:57,400
+meter per second طب جدّي الإزاحة قال لي هاي
+
+399
+00:29:57,400 --> 00:30:01,660
+القانون طبعا هذا السالب إيش معناته؟ إيش معناته؟
+
+400
+00:30:01,660 --> 00:30:06,520
+downward إيش سالب؟ أنا بدي إياه أقوله تفسير عندي
+
+401
+00:30:06,520 --> 00:30:09,980
+مش هقول سالب معناته فيه خلط لأ هو لازم يطلع سالب
+
+402
+00:30:11,060 --> 00:30:16,500
+And using the equation Y equal V0 into T minus
+
+403
+00:30:16,500 --> 00:30:26,240
+half GT square عوّض V0 25 T5هذه نص وهذه 9.8 وهذه
+
+404
+00:30:26,240 --> 00:30:34,300
+5² الكالكوليتر طلعت لـ-22.5 متر وبرضه متوقعوا صحيح
+
+405
+00:30:34,300 --> 00:30:39,120
+ولا لأ؟ تقريبا قبل النص بشوية وصل لأن النص 25 هي
+
+406
+00:30:39,120 --> 00:30:43,320
+كلها 50 فبكون قبل النص بشوية وصل بعد خمس ثواري
+
+407
+00:30:43,320 --> 00:30:48,580
+وكمان مرة هذه معناتها down war وبالتالي تأثيرها
+
+408
+00:30:48,580 --> 00:30:57,700
+واضحDownward يعني لأسفة Downward في
+
+409
+00:30:57,700 --> 00:31:05,760
+الحالتين فالغطاء هاد يتكرر ففي W missed هاجيك بديه
+
+410
+00:31:05,760 --> 00:31:09,680
+السير بديه السرعة النهائية يا بنات السرعة النهائية
+
+411
+00:31:09,680 --> 00:31:16,440
+بينفع أخد هذا القانون طب يلّا عوضيني محل الزمان
+
+412
+00:31:16,440 --> 00:31:23,610
+إيش أحط زمان؟معطيني زمان؟ لأ اخد واحد من هذه
+
+413
+00:31:23,610 --> 00:31:28,090
+الزمانين و بيكفي؟ لأ، ده أخير بينفعش او اقول والله
+
+414
+00:31:28,090 --> 00:31:31,130
+اربعة point او ات و اضربها في اتنين، بينفعش إذا
+
+415
+00:31:31,130 --> 00:31:35,570
+مافيش هدى، بدي cash، بقول إيه تعالي هدى، مش أنت
+
+416
+00:31:35,570 --> 00:31:40,510
+بدك سرعان هاقية؟ و what؟ إيش هتعود عنها؟ سالب
+
+417
+00:31:40,510 --> 00:31:46,830
+خمسين، مش خمسين سالب خمسين، تمأ؟ بيقوللي هاي
+
+418
+00:31:46,830 --> 00:31:53,090
+القضيةV² لأنه مافيش هذا بدو زمان، بعرفش و هذا بدو
+
+419
+00:31:53,090 --> 00:31:56,230
+زمان، مش عندي، مش معطنية كمعطة و احنا اتفقنا عندك
+
+420
+00:31:56,230 --> 00:31:59,470
+ترك معادلة و اللي أسهل إليك تخدمه اللي فيه كل
+
+421
+00:31:59,470 --> 00:32:04,550
+المعطيات إلا المجؤون الوحيد ساعتها مافيش إلا هذا Y
+
+422
+00:32:04,550 --> 00:32:12,100
+V² equal V0 إت عشرين وهذه، شوفين السنة؟هذه السلب
+
+423
+00:32:12,100 --> 00:32:16,780
+ضروري، لو ما حط السلب بيطلع جواب مختلف، كلياً، صح؟
+
+424
+00:32:16,780 --> 00:32:19,660
+دي الباكم، هذا السلب أنا هذا اللي ببركز عليه ال
+
+425
+00:32:19,660 --> 00:32:22,720
+calculator ليش تسوي، إيش تعمل؟ ماليش دعوة، بشوف
+
+426
+00:32:22,720 --> 00:32:25,960
+الطالب حط سلب ولا ماحط السلب، إذا ماحط السلب
+
+427
+00:32:25,960 --> 00:32:28,000
+معناته هو مش عارف أيش اللي بيسويه، جاعل بيجيب
+
+428
+00:32:28,000 --> 00:32:38,120
+أرقام و الارقام اللي جنبه، بياخد تخدمها، أحكي حلو،
+
+429
+00:32:38,120 --> 00:32:45,070
+برجع لرسمةهل رأيت البداية؟ تمام؟ وتخيل معاك إصبع
+
+430
+00:32:45,070 --> 00:32:50,630
+واضغط إيديك على نقطة البداية تخيلتها؟ روح للنهاية
+
+431
+00:32:50,630 --> 00:32:56,450
+انزلتي ولا طلعتي؟ وين
+
+432
+00:32:56,450 --> 00:32:56,770
+النهاية؟
+
+433
+00:32:59,710 --> 00:33:01,670
+مش واحد يقول بدي أطلع و بعدين أنزل، لأ، بتطلعش و
+
+434
+00:33:01,670 --> 00:33:05,550
+تنزليش، انا اللي ركزت عليه و اللي حكيته و كلنا سنة
+
+435
+00:33:05,550 --> 00:33:07,990
+مضحك، بنا حكاية جباليا و مش جباليا، احنا روحنا ع
+
+436
+00:33:07,990 --> 00:33:10,910
+جباليا و رجعنا على رفح، روحنا من غزة ع جباليا و
+
+437
+00:33:10,910 --> 00:33:15,090
+رجعنا ع رفح، لما أقولك وين الإزاحة، إيه دعوة فيها،
+
+438
+00:33:15,090 --> 00:33:17,250
+أنا وين روحت و إيه جيت، مشغولة أنا بس في الدين
+
+439
+00:33:17,250 --> 00:33:20,230
+البداية و النهاية، تمام، هجيت بوين روحت ع جباليا،
+
+440
+00:33:20,230 --> 00:33:22,490
+تقوللي ليش روحت ع جباليا، ماركاش دعوة، أنا في
+
+441
+00:33:22,490 --> 00:33:23,030
+النهاية وين ك
+
+442
+00:33:27,800 --> 00:33:33,160
+أنا في نزاحة بدي فقط نقطتين، بداية و نهاية، لما
+
+443
+00:33:33,160 --> 00:33:35,300
+أقولك حط أصبعك على البداية، بعدين روحي على
+
+444
+00:33:35,300 --> 00:33:38,800
+النهاية، مش تقولي ما روحت والجيل، ده، من البداية
+
+445
+00:33:38,800 --> 00:33:41,660
+أطلع النهاية على طول، فانت من البداية لما تروح
+
+446
+00:33:41,660 --> 00:33:45,760
+للنهاية بتطلع ولا تنزل؟ في حد أطلع، نرجع الجامعة
+
+447
+00:33:45,760 --> 00:33:49,160
+مرة، في حد أصبع طلع عشان نعدله، بركن اكسله أصبعه؟
+
+448
+00:33:50,350 --> 00:33:54,930
+في حد بيطلع من البداية للنهاية؟ ارجع يا بنتي تاني
+
+449
+00:33:54,930 --> 00:33:58,090
+تسألتي السؤال، في عندك مشكلة انه انت لما تبدي من
+
+450
+00:33:58,090 --> 00:34:02,590
+البداية و تطوع النهاية قطع النازلة، فإذا ما زالك
+
+451
+00:34:02,590 --> 00:34:05,950
+نازلة، موجبه ولا سالب؟ وكداش انزلكي المسافة، مش هي
+
+452
+00:34:05,950 --> 00:34:11,480
+الاتفاق؟ في مشكلة انه انا هيركنيه، وصلت هناالمسافة
+
+453
+00:34:11,480 --> 00:34:15,880
+اللي انزلتها جدية إذا سالب خمسين هي ارتفاع المبنى
+
+454
+00:34:15,880 --> 00:34:23,620
+إذا سالب خمسين فى مشكلة كمان مرة بستنى أسئلة إذا
+
+455
+00:34:23,620 --> 00:34:32,760
+بدكم تسألوا إسألوا أكيد؟ طيب تمام إذا بعد ما
+
+456
+00:34:32,760 --> 00:34:38,420
+طلعتها و ال down word اللي بدون W هذه تمام عوضت
+
+457
+00:34:38,420 --> 00:34:44,080
+minus fiftyاللي طلعتها طبعا هذه في تربيه إيه بنات
+
+458
+00:34:44,080 --> 00:34:47,160
+لو اشتغلت على ال calculator هتطلع معاكم زائد سبعة
+
+459
+00:34:47,160 --> 00:34:51,010
+و تلاتين دي بالكوا ال calculator مش هطلع السالكصح
+
+460
+00:34:51,010 --> 00:34:53,750
+ولا لأ؟ لأنه لو جيتوا جزر خمسة وعشان خمسة وعشان
+
+461
+00:34:53,750 --> 00:34:55,250
+عشان عشان خمسة وعشان خمسة هتطلع لكم سالب خمسة ولا
+
+462
+00:34:55,250 --> 00:34:58,350
+موجاب خمسة ال calculator لكن انتوا ال calculator
+
+463
+00:34:58,350 --> 00:35:01,410
+في النهاية is ال computer ال stupid machine لازم
+
+464
+00:35:01,410 --> 00:35:03,970
+اللي اللي بشتغل عليه هو اللي تكون صاحب يعرف انه
+
+465
+00:35:03,970 --> 00:35:05,870
+الخمسة وعشان عشان خمسة وعشان عشان خمسة لها جزرين
+
+466
+00:35:05,870 --> 00:35:08,490
+موجابه سالب هو بطلعلك على الشاشة خمسة وعشان خمسة
+
+467
+00:35:08,490 --> 00:35:12,370
+لكن لازم تعرف انه ممكن تكون سالب خمسة فانا بطلع
+
+468
+00:35:12,370 --> 00:35:15,050
+على ال calculator فانا عندى سبعة و تلاتين point
+
+469
+00:35:15,050 --> 00:35:16,450
+fifteen حطيت الس
+
+470
+00:35:20,540 --> 00:35:28,880
+فحطيت السالب اي استفسار؟ حلو بيقول
+
+471
+00:35:28,880 --> 00:35:30,960
+لي the positive solution is rejected بيقول لي في
+
+472
+00:35:30,960 --> 00:35:34,020
+positive solution انا رميته لأن انا كنت صاحي وانا
+
+473
+00:35:34,020 --> 00:35:36,920
+بحل because the ball hits the ground while falling
+
+474
+00:35:36,920 --> 00:35:43,420
+ضرب الأرض و هو بنزل قاعد مش هو طالع اخر مثال كان
+
+475
+00:35:43,420 --> 00:35:49,580
+في مثال كمان اه ماشينا تابعهل يوجد أي مشكلة في الـ
+
+476
+00:35:49,580 --> 00:35:54,140
+free falling bodies؟ مافي مشكلة لأن لدينا موضوع في
+
+477
+00:35:54,140 --> 00:35:59,580
+هذا الفيديو أننا سنخلصه يوم التانية اللي هو الـ
+
+478
+00:35:59,580 --> 00:36:02,600
+relative motion بس نحكي عنها الـ relative motion
+
+479
+00:36:02,600 --> 00:36:09,840
+الحركة النسبية الحركة النسبية شغلت دائما تصحوها و
+
+480
+00:36:09,840 --> 00:36:16,170
+تحسوها تركبوا سيارات ولا لا؟نركب سيارات، نتفرج على
+
+481
+00:36:16,170 --> 00:36:22,180
+الشارع و نتطلع على الشجربنلاقي الشجر بتحرك و لا
+
+482
+00:36:22,180 --> 00:36:26,920
+بتحركش؟ بلاقيه بتحرك طيب ما هو واقف انت نزل من
+
+483
+00:36:26,920 --> 00:36:29,960
+السيارة بتلاقيه واقف سبحان الله فيه سحر مرة بيجف و
+
+484
+00:36:29,960 --> 00:36:34,480
+مرة بنشي وقت إيش بيمشي لما يكون اللي بيجيس هو أصلا
+
+485
+00:36:34,480 --> 00:36:37,960
+بتحرك لكن لما يكون اللي بيجيس واقف بلاقي الشجر هو
+
+486
+00:36:37,960 --> 00:36:43,020
+واقفة إذا ممكن السرعة سارة تتغير تبعد للراسد
+
+487
+00:36:43,020 --> 00:36:48,380
+الراسد اللي بيحسب السرعة شغلة تانيةانت راكبة
+
+488
+00:36:48,380 --> 00:36:53,720
+بسيارة و أختك راكبة بسيارة تانية تمام؟ وماشيين
+
+489
+00:36:53,720 --> 00:36:59,580
+بنفس السرعة ممكن تفتح قصة و حدوتة و تقعد ساعة تطلع
+
+490
+00:36:59,580 --> 00:37:02,720
+عليها تفكريها واقفة انت تلاني ماشيين بنفس السرعة
+
+491
+00:37:04,070 --> 00:37:07,950
+مثلًا، هي ماشية بـ 50 كيلومتر بالساعة وانت ماشية
+
+492
+00:37:07,950 --> 00:37:11,630
+بـ 50 كيلومتر بالساعة، بس مايبقوش ولا أحمار قدامكم
+
+493
+00:37:11,630 --> 00:37:14,550
+ولا مسكليات ولا حاجة تغير الصراعات، تكون في الشارع
+
+494
+00:37:14,550 --> 00:37:18,130
+ماشية عادية، ممكن تفتح الجثة وانت متطمن مع صحبيتك،
+
+495
+00:37:18,130 --> 00:37:22,270
+لا هي تفوتك ولا تفتيها، وانت بتطلع عليها، تطلعوش
+
+496
+00:37:22,270 --> 00:37:25,740
+على الشارع بالمرةيعني بحيث أنه تحصل المكان بس
+
+497
+00:37:25,740 --> 00:37:30,660
+بيختك اللي في السيارة التانية تعتقد إنها ثابتة
+
+498
+00:37:30,660 --> 00:37:34,660
+لأنه بالنسبالك هي ثابتة لكن هي تتحرك وانت تتحرك لو
+
+499
+00:37:34,660 --> 00:37:37,940
+طلعت على الأرض بتحس بالحركات انت لما تطلع على
+
+500
+00:37:37,940 --> 00:37:41,220
+الأرض بتحس السيارة تتحرك ليش لإن انت ساعتها جستي
+
+501
+00:37:41,220 --> 00:37:47,740
+الأرض اللي هي ثابتة فبصير السرعة مختلفة كيف نتعامل
+
+502
+00:37:47,740 --> 00:37:53,740
+مع هذه السرعات هو موضوعالمحاضرة الجاية الحركة
+
+503
+00:37:53,740 --> 00:37:57,280
+النسبية وانت بتتعامل معاها طبعا في كتير ظاهرة
+
+504
+00:37:57,280 --> 00:38:02,640
+بتصير لما تروحوا على البحر لو خش أخوكم على البحر
+
+505
+00:38:02,640 --> 00:38:05,920
+أو انتوا خشيتوا على البحر وكذا فيه .. بنسميه احنا
+
+506
+00:38:05,920 --> 00:38:11,500
+طيارة مظبوط ولا لا؟ يكون انتوا قاعدين في طاولة ولا
+
+507
+00:38:11,500 --> 00:38:14,680
+في خيمة وبقى أهلكم خشيتوا على البحر لو انتوا
+
+508
+00:38:14,680 --> 00:38:17,380
+ماتطلعتوش على الخيمة بعد مدة بتلاجوا حكم هناك
+
+509
+00:38:18,470 --> 00:38:23,810
+وانتوا جوا بتحسوش وانتوا جوا بتحسوش وقت إيه
+
+510
+00:38:23,810 --> 00:38:27,470
+بتشوفوا حالكوا انحرفتوا لما تطلعوا على الخيمة؟ لما
+
+511
+00:38:27,470 --> 00:38:30,870
+تجيثوا حالكوا لشغل ثابت ع الشطر لكن طول ما انتوا
+
+512
+00:38:30,870 --> 00:38:33,770
+بتجيثوا حالكوا في البحر بتحسوا حالكوا ما بفكروا
+
+513
+00:38:33,770 --> 00:38:39,200
+حالكوا مجبر الخيمة تمام؟ هذا برضه نسبيةالواحد جوه
+
+514
+00:38:39,200 --> 00:38:43,920
+الميه بالنسبة للميه هو ثابت بالنسبة لو واحد ثابت
+
+515
+00:38:43,920 --> 00:38:46,980
+اللي هي خيمة أهلكم أو طاولة أهلكم بتحسوا حرقه من
+
+516
+00:38:46,980 --> 00:38:51,800
+حرفته برضه هذه حركة نسبية هي موضوعنا الجاي ان شاء
+
+517
+00:38:51,800 --> 00:38:53,300
+الله يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/piLsdO8zMdE_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/piLsdO8zMdE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..9597d495e8d523a57e0c750f188e27f1076ecbc6
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/piLsdO8zMdE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4822, "start": 20.94, "end": 48.22, "text": "نسمى باسم الله ونكمل ما تبقى من هذا ال chapter وقفنا في المحاضرة الماضية عن الـ Free Falling Bodies وقلنا الـ Free Falling Bodies هي حركة خطية بتسارع ثابت التسارع التابعي هو التسارع الجاذبية الأرضية و الرمز إليها بالرمز G اللي بتساوي 9.8 متر per second square أو 32", "tokens": [1863, 38251, 7578, 4724, 32277, 2304, 21984, 4032, 1863, 24793, 1211, 19446, 6055, 3555, 4587, 7578, 9154, 23758, 2423, 7187, 4032, 4587, 5172, 8315, 8978, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 18871, 2423, 39184, 11551, 7465, 278, 363, 6087, 4032, 4587, 1211, 8315, 2423, 39184, 11551, 7465, 278, 363, 6087, 39896, 11331, 31747, 3660, 16490, 9566, 10632, 39894, 3794, 9640, 3615, 38637, 16758, 2655, 16712, 3794, 9640, 3615, 16712, 16758, 3615, 1829, 31439, 16712, 3794, 9640, 3615, 25724, 45636, 3555, 10632, 16247, 43042, 10632, 4032, 34892, 2304, 11622, 11933, 20292, 11296, 20666, 2288, 2304, 11622, 460, 13672, 1829, 39894, 3794, 995, 45865, 1722, 13, 23, 44650, 2288, 680, 1150, 3732, 34051, 8858], "avg_logprob": -0.19188596373587324, "compression_ratio": 1.6935483870967742, "no_speech_prob": 0.0, "words": [{"start": 20.94, "end": 21.36, "word": "نسمى", "probability": 0.583984375}, {"start": 21.36, "end": 21.62, "word": " باسم", "probability": 0.9020182291666666}, {"start": 21.62, "end": 21.8, "word": " الله", "probability": 0.9716796875}, {"start": 21.8, "end": 22.34, "word": " ونكمل", "probability": 0.84112548828125}, {"start": 22.34, "end": 22.46, "word": " ما", "probability": 0.8740234375}, {"start": 22.46, "end": 23.24, "word": " تبقى", "probability": 0.959228515625}, {"start": 23.24, "end": 23.7, "word": " من", "probability": 0.97021484375}, {"start": 23.7, "end": 24.18, "word": " هذا", "probability": 0.96875}, {"start": 24.18, "end": 24.38, "word": " ال", "probability": 0.65771484375}, {"start": 24.38, "end": 24.86, "word": " chapter", "probability": 0.53515625}, {"start": 24.86, "end": 26.02, "word": " وقفنا", "probability": 0.856201171875}, {"start": 26.02, "end": 26.36, "word": " في", "probability": 0.94580078125}, {"start": 26.36, "end": 27.04, "word": " المحاضرة", "probability": 0.9727783203125}, {"start": 27.04, "end": 27.72, "word": " الماضية", "probability": 0.9921875}, {"start": 27.72, "end": 27.98, "word": " عن", "probability": 0.88525390625}, {"start": 27.98, "end": 28.22, "word": " الـ", "probability": 0.580078125}, {"start": 28.22, "end": 28.42, "word": " Free", "probability": 0.254638671875}, {"start": 28.42, "end": 29.04, "word": " Falling", "probability": 0.8251953125}, {"start": 29.04, "end": 29.44, "word": " Bodies", "probability": 0.9033203125}, {"start": 29.44, "end": 30.52, "word": " وقلنا", "probability": 0.85595703125}, {"start": 30.52, "end": 30.88, "word": " الـ", "probability": 0.48980712890625}, {"start": 30.88, "end": 31.02, "word": " Free", "probability": 0.79931640625}, {"start": 31.02, "end": 31.4, "word": " Falling", "probability": 0.946044921875}, {"start": 31.4, "end": 31.68, "word": " Bodies", "probability": 0.9208984375}, {"start": 31.68, "end": 31.94, "word": " هي", "probability": 0.89794921875}, {"start": 31.94, "end": 32.78, "word": " حركة", "probability": 0.9949544270833334}, {"start": 32.78, "end": 33.74, "word": " خطية", "probability": 0.9807942708333334}, {"start": 33.74, "end": 34.9, "word": " بتسارع", "probability": 0.9071044921875}, {"start": 34.9, "end": 35.6, "word": " ثابت", "probability": 0.99462890625}, {"start": 35.6, "end": 36.62, "word": " التسارع", "probability": 0.96923828125}, {"start": 36.62, "end": 37.06, "word": " التابعي", "probability": 0.76837158203125}, {"start": 37.06, "end": 37.26, "word": " هو", "probability": 0.97265625}, {"start": 37.26, "end": 38.22, "word": " التسارع", "probability": 0.873779296875}, {"start": 38.22, "end": 38.92, "word": " الجاذبية", "probability": 0.991455078125}, {"start": 38.92, "end": 40.06, "word": " الأرضية", "probability": 0.9871419270833334}, {"start": 40.06, "end": 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"text": "هو يجب أن نركز عليها و نفهمها مع ان جرية خزانة و جرية الطاولة و انا بشرح و سوينا و قولنا F S قيمتها مالهاش قيمة واحدة اما سفر و بتظلها ل New S في ال N", "tokens": [3224, 2407, 7251, 7435, 3555, 14739, 8717, 31747, 11622, 25894, 11296, 4032, 8717, 5172, 16095, 11296, 20449, 16472, 10874, 2288, 10632, 16490, 11622, 7649, 3660, 4032, 10874, 2288, 10632, 41950, 995, 12610, 3660, 4032, 1975, 8315, 4724, 46309, 5016, 4032, 8608, 45865, 8315, 4032, 12174, 12610, 8315, 479, 318, 12174, 32640, 2655, 11296, 3714, 6027, 3224, 33599, 12174, 32640, 3660, 36764, 24401, 3660, 1975, 15042, 8608, 5172, 2288, 4032, 39894, 19913, 1211, 11296, 5296, 1873, 318, 8978, 2423, 426], "avg_logprob": -0.3947265736758709, "compression_ratio": 1.6163522012578617, "no_speech_prob": 0.0, "words": [{"start": 898.98, "end": 899.5, "word": "هو", "probability": 0.30206298828125}, {"start": 899.5, "end": 900.02, "word": " يجب", "probability": 0.6435139973958334}, {"start": 900.02, "end": 900.58, "word": " أن", 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تمام بدي أحسب ال work أنا الآن بيقول let us calculate the work done by the force of S as the body moves from an initial position X initial to the final position X final تيجي المشكلة واحد بيقولك والله دي سهل أنا حافظ القانون F بيساوي ال work بيساوي F ضد ال S بنفع أستخدم هذا القانون؟ لأ", "tokens": [6027, 39184, 21899, 46811, 10943, 4724, 16254, 5551, 5016, 35457, 2423, 589, 41850, 6024, 48506, 4724, 1829, 39648, 718, 505, 8873, 264, 589, 1096, 538, 264, 3464, 295, 318, 382, 264, 1772, 6067, 490, 364, 5883, 2535, 1783, 5883, 281, 264, 2572, 2535, 1783, 2572, 6055, 1829, 7435, 1829, 9673, 8592, 28820, 3660, 36764, 24401, 4724, 1829, 39648, 4117, 16070, 43761, 11778, 1829, 8608, 3224, 1211, 41850, 11331, 31845, 19913, 25062, 7649, 11536, 479, 4724, 1829, 3794, 995, 45865, 2423, 589, 4724, 1829, 3794, 995, 45865, 479, 48812, 3215, 2423, 318, 44945, 5172, 3615, 5551, 14851, 9778, 40448, 23758, 25062, 7649, 11536, 22807, 5296, 10721], "avg_logprob": -0.26002357309719304, "compression_ratio": 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2037.59, "end": 2037.87, "word": " us", "probability": 0.9140625}, {"start": 2037.87, "end": 2038.29, "word": " calculate", "probability": 0.9443359375}, {"start": 2038.29, "end": 2038.55, "word": " the", "probability": 0.87744140625}, {"start": 2038.55, "end": 2038.81, "word": " work", "probability": 0.94091796875}, {"start": 2038.81, "end": 2039.15, "word": " done", "probability": 0.8583984375}, {"start": 2039.15, "end": 2040.03, "word": " by", "probability": 0.92138671875}, {"start": 2040.03, "end": 2040.25, "word": " the", "probability": 0.82275390625}, {"start": 2040.25, "end": 2040.59, "word": " force", "probability": 0.9765625}, {"start": 2040.59, "end": 2040.87, "word": " of", "probability": 0.465087890625}, {"start": 2040.87, "end": 2041.25, "word": " S", "probability": 0.6484375}, {"start": 2041.25, "end": 2041.91, "word": " as", "probability": 0.90771484375}, {"start": 2041.91, "end": 2042.13, "word": " the", "probability": 0.9072265625}, {"start": 2042.13, "end": 2042.31, "word": " body", "probability": 0.8603515625}, {"start": 2042.31, "end": 2042.61, "word": " moves", "probability": 0.8798828125}, {"start": 2042.61, "end": 2042.89, "word": " from", "probability": 0.8994140625}, {"start": 2042.89, "end": 2043.09, "word": " an", "probability": 0.468505859375}, {"start": 2043.09, "end": 2043.45, "word": " initial", "probability": 0.9326171875}, {"start": 2043.45, "end": 2043.87, "word": " position", "probability": 0.94873046875}, {"start": 2043.87, "end": 2044.07, "word": " X", "probability": 0.7041015625}, {"start": 2044.07, "end": 2044.51, "word": " initial", "probability": 0.85400390625}, {"start": 2044.51, "end": 2045.01, "word": " to", "probability": 0.94189453125}, {"start": 2045.01, "end": 2045.19, "word": " the", "probability": 0.91259765625}, {"start": 2045.19, "end": 2045.49, "word": " final", "probability": 0.955078125}, {"start": 2045.49, "end": 2045.87, "word": " position", "probability": 0.9384765625}, {"start": 2045.87, "end": 2046.11, "word": " X", "probability": 0.98388671875}, {"start": 2046.11, "end": 2046.57, "word": " final", "probability": 0.89306640625}, {"start": 2046.57, "end": 2047.59, "word": " تيجي", "probability": 0.82659912109375}, {"start": 2047.59, "end": 2048.19, "word": " المشكلة", "probability": 0.996826171875}, {"start": 2048.19, "end": 2048.69, "word": " واحد", "probability": 0.7315673828125}, {"start": 2048.69, "end": 2049.01, "word": " بيقولك", "probability": 0.718231201171875}, {"start": 2049.01, "end": 2049.29, "word": " والله", "probability": 0.6943359375}, {"start": 2049.29, "end": 2049.51, "word": " دي", "probability": 0.7900390625}, {"start": 2049.51, "end": 2049.85, "word": " سهل", "probability": 0.9912109375}, {"start": 2049.85, "end": 2050.05, "word": " أنا", "probability": 0.400634765625}, {"start": 2050.05, "end": 2050.41, "word": " حافظ", "probability": 0.9788411458333334}, {"start": 2050.41, "end": 2050.85, "word": " القانون", "probability": 0.9933268229166666}, {"start": 2050.85, "end": 2051.09, "word": " F", "probability": 0.5673828125}, {"start": 2051.09, "end": 2051.67, "word": " بيساوي", "probability": 0.85859375}, {"start": 2051.67, "end": 2052.53, "word": " ال", "probability": 0.231689453125}, {"start": 2052.53, "end": 2052.97, "word": " work", "probability": 0.94384765625}, {"start": 2052.97, "end": 2055.03, "word": " بيساوي", "probability": 0.9185546875}, {"start": 2055.03, "end": 2055.37, "word": " F", "probability": 0.96826171875}, {"start": 2055.37, "end": 2055.65, "word": " ضد", "probability": 0.957763671875}, {"start": 2055.65, "end": 2055.85, "word": " ال", "probability": 0.8291015625}, {"start": 2055.85, "end": 2056.25, "word": " S", "probability": 0.97705078125}, {"start": 2056.25, "end": 2056.91, "word": " بنفع", "probability": 0.7931315104166666}, {"start": 2056.91, "end": 2057.25, "word": " أستخدم", "probability": 0.6292724609375}, {"start": 2057.25, "end": 2057.41, "word": " هذا", "probability": 0.60595703125}, {"start": 2057.41, "end": 2058.19, "word": " القانون؟", "probability": 0.9000244140625}, {"start": 2058.19, "end": 2058.33, "word": " لأ", "probability": 0.6990966796875}], "temperature": 1.0}, {"id": 87, "seek": 208437, "start": 2060.13, "end": 2084.37, "text": "لأن F is not constant لذلك .. لذلك لم أستطيع استخدامه لأنه عندما F تكون constant ليس هذا قانونه وإلا سأقول لك الواحد ايه؟ سالب K في X في X إذن سالب K في X سربيه صحيح؟ فهذا غلط إذا استخدمت القانون الغلط، هل ستطلعني نتيجة؟ غلط، قطعاً وانا أقول لك عندما يكون القوة", "tokens": [1211, 33456, 479, 307, 406, 5754, 5296, 8848, 23275, 4386, 5296, 8848, 23275, 32767, 5551, 14851, 9566, 40228, 44713, 9778, 3215, 10943, 3224, 5296, 33456, 3224, 43242, 15042, 479, 6055, 30544, 5754, 32239, 3794, 23758, 12174, 7649, 11536, 3224, 4032, 28814, 15040, 8608, 10721, 39648, 5296, 4117, 2423, 14407, 24401, 1975, 1829, 3224, 22807, 8608, 6027, 3555, 591, 8978, 1783, 8978, 1783, 11933, 8848, 1863, 8608, 6027, 3555, 591, 8978, 1783, 8608, 2288, 21292, 3224, 20328, 5016, 1829, 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منطقيا", "probability": 0.8603515625}, {"start": 2421.99, "end": 2422.73, "word": " بيطلع", "probability": 0.7211669921875}, {"start": 2422.73, "end": 2423.23, "word": " positive", "probability": 0.80712890625}], "temperature": 1.0}, {"id": 102, "seek": 245071, "start": 2424.29, "end": 2450.71, "text": "إذا كانت الموضوع تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع الايكوليبريان تتجه من موقع", "tokens": [28814, 15730, 25961, 2655, 9673, 2407, 11242, 45367, 6055, 2655, 7435, 3224, 9154, 3714, 30543, 3615, 42963, 1829, 4117, 12610, 1829, 3555, 16572, 7649, 6055, 2655, 7435, 3224, 9154, 3714, 30543, 3615, 42963, 1829, 4117, 12610, 1829, 3555, 16572, 7649, 6055, 2655, 7435, 3224, 9154, 3714, 30543, 3615, 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0.4874674479166667}, {"start": 2553.35, "end": 2553.83, "word": " نحفظ", "probability": 0.9864501953125}, {"start": 2553.83, "end": 2554.33, "word": " مش", "probability": 0.94384765625}, {"start": 2554.33, "end": 2554.55, "word": " دايما", "probability": 0.7936197916666666}, {"start": 2554.55, "end": 2554.71, "word": " واحد", "probability": 0.7430419921875}, {"start": 2554.71, "end": 2554.89, "word": " يقول", "probability": 0.958740234375}, {"start": 2554.89, "end": 2554.99, "word": " لك", "probability": 0.5859375}, {"start": 2554.99, "end": 2555.07, "word": " ان", "probability": 0.76318359375}, {"start": 2555.07, "end": 2555.35, "word": " برمج", "probability": 0.8516845703125}, {"start": 2555.35, "end": 2555.59, "word": " شغل", "probability": 0.91064453125}, {"start": 2555.59, "end": 2556.07, "word": " الجاذبية", "probability": 0.9586181640625}, {"start": 2556.07, "end": 2556.35, "word": " سفر", "probability": 0.7962239583333334}, {"start": 2556.35, "end": 2556.59, "word": " شغل", "probability": 0.9210611979166666}, {"start": 2556.59, "end": 2557.03, "word": " الجاذبية", "probability": 0.990478515625}, {"start": 2557.03, "end": 2557.25, "word": " سفر", "probability": 0.9928385416666666}, {"start": 2557.25, "end": 2557.49, "word": " بغض", "probability": 0.9046223958333334}, {"start": 2557.49, "end": 2557.77, "word": " النظر", "probability": 0.98828125}, {"start": 2557.77, "end": 2557.93, "word": " وين", "probability": 0.779052734375}, {"start": 2557.93, "end": 2558.37, "word": " السؤال", "probability": 0.9842122395833334}, {"start": 2558.37, "end": 2559.09, "word": " بابيش", "probability": 0.45062255859375}, {"start": 2559.09, "end": 2559.39, "word": " منه", "probability": 0.96875}, {"start": 2559.39, "end": 2559.75, "word": " هذا", "probability": 0.97509765625}, {"start": 2559.75, "end": 2560.47, "word": " تمام", "probability": 0.7354736328125}, {"start": 2560.47, "end": 2560.75, "word": " و", "probability": 0.385498046875}, {"start": 2560.75, "end": 2560.99, "word": " زميلي", "probability": 0.663818359375}, {"start": 2560.99, "end": 2561.41, "word": " تحاكت", "probability": 0.79091796875}, {"start": 2561.41, "end": 2561.49, "word": " و", "probability": 0.2181396484375}, {"start": 2561.49, "end": 2562.05, "word": " قالت", "probability": 0.712158203125}, {"start": 2562.05, "end": 2562.11, "word": " لو", "probability": 0.9091796875}, {"start": 2562.11, "end": 2562.39, "word": " كان", "probability": 0.970703125}, {"start": 2562.39, "end": 2563.09, "word": " السطح", "probability": 0.8365885416666666}, {"start": 2563.09, "end": 2563.53, "word": " مائل", "probability": 0.9329427083333334}, {"start": 2563.53, "end": 2564.69, "word": " بيبطل", "probability": 0.9255859375}, {"start": 2564.69, "end": 2564.95, "word": " شغل", "probability": 0.9158528645833334}, {"start": 2564.95, "end": 2565.41, "word": " الجاذبية", "probability": 0.9940185546875}, {"start": 2565.41, "end": 2565.81, "word": " zero", "probability": 0.4443359375}, {"start": 2565.81, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/tKxTsJHOgFQ_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/tKxTsJHOgFQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cbd81dd31312946aab08f7216d206f9adde9bae7
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/tKxTsJHOgFQ_raw.srt
@@ -0,0 +1,2404 @@
+1
+00:00:21,130 --> 00:00:26,530
+نسمّى بسم الله ونستكمل خلّيني مع بعض أعيد أيش اللي
+
+2
+00:00:26,530 --> 00:00:29,850
+أخدناها المرة هديك اتفقنا في الحركة الدورانية
+
+3
+00:00:29,850 --> 00:00:35,430
+هيكون عنده المتغير بدل ما هو X أو Y زاوية ثيتا
+
+4
+00:00:35,430 --> 00:00:41,910
+وبالتالي صار في عنده X استبدلناها بثيتا وبالتالي
+
+5
+00:00:41,910 --> 00:00:46,790
+ال V أصبحت هي ثيتا Dot أو هي عبارة عن Omega وال A
+
+6
+00:00:46,790 --> 00:00:51,870
+هي عبارة عن Alphaكمان هذا هو اللي أخدناه بعدين
+
+7
+00:00:51,870 --> 00:00:57,430
+بدينا نجيبه العلاقات ما بين ال linear quantities و
+
+8
+00:00:57,430 --> 00:01:00,530
+ال angular quantities هدول بيسموهم angular
+
+9
+00:01:00,530 --> 00:01:04,570
+quantities angular
+
+10
+00:01:04,570 --> 00:01:11,630
+quantities وهدول بيسموهم linear quantities طبعا
+
+11
+00:01:11,630 --> 00:01:16,680
+احنا بنعرف انهالـ X و الـ Theta أو بصورة عامة الـ
+
+12
+00:01:16,680 --> 00:01:20,520
+S و الـ Theta أنه لو كان في عندى إيزاحة هيك و هذه
+
+13
+00:01:20,520 --> 00:01:25,720
+هي الزاوية Theta و هذه R و هذه S كلنا بنعرف أن S
+
+14
+00:01:25,720 --> 00:01:31,220
+بتساوي R في Theta اللي هي كل جزء S equal R في
+
+15
+00:01:31,220 --> 00:01:36,680
+Theta لو أجيت أعملت اشتقاق بالنسبة للزمن هتطلع
+
+16
+00:01:36,680 --> 00:01:41,660
+عندى V بتساوي R في Omegaصحيح ولا لأ؟ وبالتالي
+
+17
+00:01:41,660 --> 00:01:44,920
+العلاقة ما بين الـ Linear Velocity V و ال Angular
+
+18
+00:01:44,920 --> 00:01:48,740
+Velocity التي هي رمزها Omega أن V تساوي R في Omega
+
+19
+00:01:48,740 --> 00:01:51,320
+لما جينا على الـ Acceleration وجدنا أن الـ
+
+20
+00:01:51,320 --> 00:01:56,060
+Acceleration عبارة عن مراكبتين مراكبة مماسية و
+
+21
+00:01:56,060 --> 00:02:03,250
+مراكبة قطرية أو مركزية نعرف أن ARبتساوي V تربيع
+
+22
+00:02:03,250 --> 00:02:07,930
+على R لما نيجي نعوض هنا بتصير R تربيع أمجا تربيع
+
+23
+00:02:07,930 --> 00:02:13,130
+على أعصاب R أمجا تربيع لأن هذه هي العلاقة ما بين
+
+24
+00:02:13,130 --> 00:02:16,850
+الـ Centripetal Acceleration و Angular Velocity
+
+25
+00:02:16,850 --> 00:02:21,890
+لكن الـ A ثيتا اللي هي تتفاضل ال speed بالنسبة
+
+26
+00:02:21,890 --> 00:02:27,770
+للزمن هتلاقيها بساوي R في ال D V هنا لو ماني أجي
+
+27
+00:02:27,770 --> 00:02:32,750
+أعملها R D أمج ع دي T R في ألفةألفة هي angular
+
+28
+00:02:32,750 --> 00:02:37,990
+acceleration هذا أخر حاجة أخدنا تمام و في الآخر
+
+29
+00:02:37,990 --> 00:02:45,390
+قلنا أي جسم بدور هتكون ال angular quantities ثابتة
+
+30
+00:02:45,390 --> 00:02:52,820
+لهبمعنى أخر Omega والـ Alpha بتكون معروفة ومشتركة
+
+31
+00:02:52,820 --> 00:02:56,900
+ما بين كل نقاطه وادينا مثال الهواية وإن الهواية و
+
+32
+00:02:56,900 --> 00:03:01,700
+هي بتدور لو بتعمل خمس لفات في الثانية أي نقطة جوا
+
+33
+00:03:01,700 --> 00:03:06,780
+الهواية بتعمل خمس لفات في الثانية ولكن اتفقنا إن
+
+34
+00:03:06,780 --> 00:03:11,100
+كل ما النقطة أبعدت عن المركز بتكون سرعتها أسرع
+
+35
+00:03:11,100 --> 00:03:14,900
+أكبر لأنه بتقطع مسافة أكبر المسافة في هذه الحالة
+
+36
+00:03:14,900 --> 00:03:19,150
+بتكون المحيطمظبوطاً اللي هي الجثة وبالتالي كل ما
+
+37
+00:03:19,150 --> 00:03:23,270
+انا ابعدت عن المركز بيكون المسافة اللي بقطعها
+
+38
+00:03:23,270 --> 00:03:27,870
+كبيرة بنفس الزمن معناته بيكون أسرع فاللي حكيناه
+
+39
+00:03:27,870 --> 00:03:31,710
+يومتها وقفنا عند هنا بيقول for a rigid body أي جسم
+
+40
+00:03:31,710 --> 00:03:36,210
+بدور rotating about a fixed axis every particle on
+
+41
+00:03:36,210 --> 00:03:41,460
+the body had the sameOmega and the same Alpha The
+
+42
+00:03:41,460 --> 00:03:45,900
+same Omega with the same Alpha While the nervous
+
+43
+00:03:45,900 --> 00:03:48,280
+system .. طب عارف .. باينة من هنا يا بنات كل مهارك
+
+44
+00:03:48,280 --> 00:03:52,500
+زادت مش هذي بتزيد؟ إذا مهارك بتزيد بتزيد لإنه كل
+
+45
+00:03:52,500 --> 00:03:55,280
+مهارك بعادت عن المركز فكل مهارك بعادت عن المركز
+
+46
+00:03:55,280 --> 00:03:59,040
+بتصير V بتزيد على أعتبار إن Omega is constant لكل
+
+47
+00:03:59,040 --> 00:04:03,720
+نقاط نفس العملية بالنسبة لل A كل مهارك زادت بتكون
+
+48
+00:04:03,720 --> 00:04:08,080
+ال accelerationالزيادة .. تمام طب استاذ بسمحك ..
+
+49
+00:04:08,080 --> 00:04:10,440
+طب الحين مش كل النقاط بيكونوا على نفس البعد من
+
+50
+00:04:10,440 --> 00:04:14,060
+المركزي يصرفوا طول .. ليش؟ لإن انا اكتشفها كوية ..
+
+51
+00:04:14,060 --> 00:04:16,740
+شايفة دي النقطة هادية؟ ال .. ال .. ال .. ال .. ال
+
+52
+00:04:16,740 --> 00:04:17,640
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+53
+00:04:17,640 --> 00:04:17,700
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+54
+00:04:17,700 --> 00:04:17,760
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+55
+00:04:17,760 --> 00:04:17,920
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+56
+00:04:17,920 --> 00:04:18,000
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+57
+00:04:18,000 --> 00:04:18,740
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+58
+00:04:18,740 --> 00:04:18,840
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+59
+00:04:18,840 --> 00:04:18,960
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+60
+00:04:18,960 --> 00:04:22,860
+..يعني هذا الشكل انا .. طبعا اه تبديكي نقطة على
+
+61
+00:04:22,860 --> 00:04:25,220
+نفس المساقطة؟ باني دائرة يعني لأ لأ لأ هي .. هي
+
+62
+00:04:25,220 --> 00:04:26,040
+نقطة في نفس المساقطة هي نقطة في نفس المساقطة هي
+
+63
+00:04:26,040 --> 00:04:28,000
+نقطة في نفس المساقطة هي نقطة في نفس المساقطة هي
+
+64
+00:04:28,000 --> 00:04:28,740
+نقطة في نفس المساقطة هي نقطة في نفس المساقطة هي
+
+65
+00:04:28,740 --> 00:04:29,520
+نقطة في نفس المساقطة هي نقطة في نفس المساقطة هي
+
+66
+00:04:29,520 --> 00:04:29,700
+نقطة في نفس المساقطة هي نقطة في نفس المساقطة هي
+
+67
+00:04:29,700 --> 00:04:30,080
+نقطة في نفس المساقطة هي نقطة في نفس المساقطة هي
+
+68
+00:04:30,080 --> 00:04:35,540
+نقطة في نفس المساقطة هي نقطة في نفس المساقطة هي
+
+69
+00:04:35,540 --> 00:04:41,350
+نقطة في نفس المسلكن لو هذا يدور، لو هذا يعمل لفتين
+
+70
+00:04:41,350 --> 00:04:43,990
+بالثانية، هذا نقطة كانت نفسها تعمل بالثانية، وهذا
+
+71
+00:04:43,990 --> 00:04:46,210
+نفسها تعمل بالثالثة، إذا الـ Omega تبعته ثابتة،
+
+72
+00:04:46,210 --> 00:04:50,170
+لكن V تختلف من نقطة لنقطة، دعونا نشوف مثال السهل
+
+73
+00:04:51,460 --> 00:04:57,280
+تمام بيقولي a wheel of radius 30 cm عجل rotates
+
+74
+00:04:57,280 --> 00:05:02,160
+about a fixed axis with initial angular velocity و
+
+75
+00:05:02,160 --> 00:05:05,520
+ال angular velocity انا بعرفت ان وحدتها radian per
+
+76
+00:05:05,520 --> 00:05:09,400
+second او واحد ع سكت المعلومة دي من دنياها
+
+77
+00:05:09,400 --> 00:05:13,950
+revolution per minuteدورة في الدقيقة، دورة في
+
+78
+00:05:13,950 --> 00:05:23,870
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+79
+00:05:23,870 --> 00:05:26,030
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+80
+00:05:26,030 --> 00:05:26,030
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+81
+00:05:26,030 --> 00:05:26,030
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+82
+00:05:26,030 --> 00:05:26,050
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+83
+00:05:26,050 --> 00:05:28,850
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+84
+00:05:28,850 --> 00:05:32,790
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+85
+00:05:32,790 --> 00:05:33,750
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة، دورة في
+
+86
+00:05:33,750 --> 00:05:34,710
+الدقيقة، دورة في الدقيقة، دورة في الدقيقة،بعد
+
+87
+00:05:34,710 --> 00:05:37,450
+عشرين ثانية ووقفت مثلا اتفقنا انه مش اول مطار
+
+88
+00:05:37,450 --> 00:05:41,230
+تتجفى الهوايا صح ولا لا؟ بتاخدي رواجي أخدت العشرين
+
+89
+00:05:41,230 --> 00:05:44,650
+ثانية و بعدين ووقفت ايش بده؟ بيقولي calculate the
+
+90
+00:05:44,650 --> 00:05:47,830
+angular acceleration بده Alpha ال Angular
+
+91
+00:05:47,830 --> 00:05:51,770
+Acceleration Alpha وبيقولي how many rotations does
+
+92
+00:05:51,770 --> 00:05:54,530
+the wheel make before coming to rest يا ترى
+
+93
+00:05:54,530 --> 00:05:57,730
+بالعشرين ثانية أكم دورة عملت قبل ما تجفت من ساعة
+
+94
+00:05:57,730 --> 00:06:02,230
+ما طفيتها لما وقفت أكم دورة عملت هاي المطالبت
+
+95
+00:06:02,230 --> 00:06:05,950
+بعدينطبعا انا ذاكرين انه احنا بعد ما عملنا هدول
+
+96
+00:06:05,950 --> 00:06:12,030
+قولنا القوانين تبعتنا صارت omega equal omega
+
+97
+00:06:12,030 --> 00:06:16,350
+naught plus alpha في T ذاكرينها؟ و theta سوى omega
+
+98
+00:06:16,350 --> 00:06:20,910
+naught في T plus half alpha T square و omega
+
+99
+00:06:20,910 --> 00:06:24,910
+square equal omega naught square plus two alpha في
+
+100
+00:06:24,910 --> 00:06:29,560
+thetaنفس القوانين تبعتنا الأولى ميادة وإن في X حطت
+
+101
+00:06:29,560 --> 00:06:33,280
+محالها فيتا وإن في Z حطت محالها أوميجا وإن في A
+
+102
+00:06:33,280 --> 00:06:36,900
+حطت محالها ألفا فانا أقول على نفس القوانين هدا إيش
+
+103
+00:06:36,900 --> 00:06:41,240
+بقول إيه؟ بقول إيه عندك عجل بدور مسقطه من الدنيا
+
+104
+00:06:41,240 --> 00:06:45,980
+تمامwith initial angular velocity اللي هي أميجا
+
+105
+00:06:45,980 --> 00:06:50,720
+نوت initial velocity بس مشكلتها الوحدة تبعتها 150
+
+106
+00:06:50,720 --> 00:06:53,640
+revolution per minute ال minute بحق ولا لسة كانت
+
+107
+00:06:53,640 --> 00:06:58,600
+ال revolution دورة كيف بيدحقق اللي هي ال radian كل
+
+108
+00:06:58,600 --> 00:07:04,100
+واحدة بتنبع سهل التعامل معاها حلو بعدين في الآخر
+
+109
+00:07:04,100 --> 00:07:08,890
+ايش صار فيهايعني أنا لم أجد أميجان نهائية Zero إذا
+
+110
+00:07:08,890 --> 00:07:11,050
+إذا أميجان نوتة أعطاني إياها و أميجان نهائية
+
+111
+00:07:11,050 --> 00:07:14,710
+أعطاني إياها و الزمن ماتعطينيها و بده Alpha هذا
+
+112
+00:07:14,710 --> 00:07:18,870
+القانون دي بوش؟ هذي Zero و هذه بعرفها و هذه عشان
+
+113
+00:07:18,870 --> 00:07:22,530
+يسكن بطلّها Alpha صحيح ولا لأ؟ نجي للمطلوب التاني
+
+114
+00:07:22,530 --> 00:07:25,230
+بيقولي أكم دورة عملت؟ طب أنا إيش بدي أجيب من هدول
+
+115
+00:07:25,230 --> 00:07:31,770
+عشان أعرف أكم دورة عملت؟ ثيتافيتا لو عملي 360
+
+116
+00:07:31,770 --> 00:07:37,050
+درجة، كم دورة؟ واحدة، لو 720، إذا أجدد فيتا و
+
+117
+00:07:37,050 --> 00:07:40,690
+أقسمها على 2 باي، بيطلع عندي أكام دورة، صح ولا لأ؟
+
+118
+00:07:40,690 --> 00:07:44,650
+إذا بالزمن فيتا في المرة التانية أو في المطلوب
+
+119
+00:07:44,650 --> 00:07:49,120
+التاني، تمامC Calculate the Radial and Tangential
+
+120
+00:07:49,120 --> 00:07:51,380
+Acceleration الـ T بيساوي 0 و بده Radial
+
+121
+00:07:51,380 --> 00:07:55,260
+Acceleration و Tangential Acceleration طبعا احنا
+
+122
+00:07:55,260 --> 00:07:59,860
+بنعرف الـAR الـ AR بيساوي V تربيع على A، بدنا نحفظ
+
+123
+00:07:59,860 --> 00:08:04,840
+حاجة جديدة، بيساوي ومتى تربيع هذا A في A، صحيح؟ و
+
+124
+00:08:04,840 --> 00:08:10,400
+الـ A فيتا بيساوي Alpha في Rهذه التنجينشان تتوع
+
+125
+00:08:10,400 --> 00:08:15,100
+منها مافيش اشي جديد عنكم يعني هذه هي θ دي V على دي
+
+126
+00:08:15,100 --> 00:08:19,560
+T و ال V هي عبارة عن أف أوميجا و دي أوميجا ع دي T
+
+127
+00:08:19,560 --> 00:08:24,750
+هي ألفا إذا مافيش قوارين جديدة نلخم حالنا فيهاتمام
+
+128
+00:08:24,750 --> 00:08:28,710
+Noting that بقولي هاد بدا أبدأ أشتغل و بدي معطياتي
+
+129
+00:08:28,710 --> 00:08:31,450
+و معطياتي من التفقيق من أول محاضرة أني لازم نكون
+
+130
+00:08:31,450 --> 00:08:34,090
+لها وحدتنا واحدة صحيح ولا لأ؟ وبالتالي بدي أشتغل
+
+131
+00:08:34,090 --> 00:08:36,330
+على الوحدات في الأول بقولي هاد ال revolution
+
+132
+00:08:36,330 --> 00:08:39,910
+الغريبة بدي أغيرها بقولي noting that the one
+
+133
+00:08:39,910 --> 00:08:43,630
+revolution represents two pi radians عبر عن اتنين
+
+134
+00:08:43,630 --> 00:08:46,550
+pi من ال radian عشان أحول من revolution ل radian و
+
+135
+00:08:46,550 --> 00:08:51,800
+أصبح زي اللي أعرفهاتمام؟ نحن لسلسات الاميجا نوت
+
+136
+00:08:51,800 --> 00:08:53,820
+نحن لسلسات الاميجا نوت نحن لسلسات الاميجا نوت نحن
+
+137
+00:08:53,820 --> 00:08:54,120
+لسلسات الاميجا نوت نحن لسلسات الاميجا نوت نحن
+
+138
+00:08:54,120 --> 00:08:55,340
+لسلسات الاميجا نوت نحن لسلسات الاميجا نوت نحن
+
+139
+00:08:55,340 --> 00:08:56,600
+لسلسات الاميجا نوت نحن لسلسات الاميجا نوت نحن
+
+140
+00:08:56,600 --> 00:08:59,300
+لسلسات الاميجا نوت نحن لسلسات الاميجا نوت نحن
+
+141
+00:08:59,300 --> 00:09:02,820
+لسلسات الاميجا نوت نحن لسلسات الاميجا نوت نحن
+
+142
+00:09:02,820 --> 00:09:08,110
+لسلسات الاميجا نوت نحن لسلسات الامخلاص قدش اللي
+
+143
+00:09:08,110 --> 00:09:12,650
+يصل الانتهاء اقولنا؟ Zero Zero و الزمن؟ عشرين
+
+144
+00:09:12,650 --> 00:09:17,150
+عشرين إذا خلصنا using the equation omega equal
+
+145
+00:09:17,150 --> 00:09:21,350
+omega naught plus الف في T هذي Zero هذي هيها خمس
+
+146
+00:09:21,350 --> 00:09:25,470
+طاعت point seventy و هذي twenty بقدر أجيب الف فطلت
+
+147
+00:09:25,470 --> 00:09:30,130
+الف بالسالب طبعا طبعا بالسالب ليه بالسالب؟لأنها
+
+148
+00:09:30,130 --> 00:09:34,450
+تتباطع تتجف وبالتالي ال acceleration كنا نسميها
+
+149
+00:09:34,450 --> 00:09:38,670
+acceleration او احنا نسميها بالعربي سرعة تنقصية
+
+150
+00:09:38,670 --> 00:09:42,350
+تباطع تباطع تباطع تباطع تباطع تباطع تباطع تباطع
+
+151
+00:09:42,350 --> 00:09:42,390
+تباطع تباطع تباطع تباطع تباطع تباطع تباطع تباطع
+
+152
+00:09:42,390 --> 00:09:42,390
+تباطع تباطع تباطع تباطع تباطع تباطع تباطع تباطع
+
+153
+00:09:42,390 --> 00:09:42,690
+تباطع تباطع تباطع تباطع تباطع تباطع تباطع تباطع
+
+154
+00:09:42,690 --> 00:09:43,670
+تباطع تباطع تباطع تباطع تباطع تباطع تباطع تباطع
+
+155
+00:09:43,670 --> 00:09:52,370
+تباطع تباطع تباطع تباطع
+
+156
+00:09:52,370 --> 00:09:54,210
+ت
+
+157
+00:09:57,220 --> 00:10:01,160
+فيش أي trick .. عادي .. الآن اتفقنا .. بدوا كام
+
+158
+00:10:01,160 --> 00:10:04,020
+دورة .. إيش بده أجيب .. فيتا .. فيتا .. فيتا ..
+
+159
+00:10:04,020 --> 00:10:05,260
+فيتا .. فيتا .. فيتا .. فيتا .. فيتا .. فيتا ..
+
+160
+00:10:05,260 --> 00:10:06,080
+فيتا .. فيتا .. فيتا .. فيتا .. فيتا .. فيتا ..
+
+161
+00:10:06,080 --> 00:10:06,680
+فيتا .. فيتا .. فيتا .. فيتا .. فيتا .. فيتا ..
+
+162
+00:10:06,680 --> 00:10:07,000
+فيتا .. فيتا .. فيتا .. فيتا .. فيتا .. فيتا ..
+
+163
+00:10:07,000 --> 00:10:07,000
+فيتا .. فيتا .. فيتا .. فيتا .. فيتا .. فيتا ..
+
+164
+00:10:07,000 --> 00:10:10,720
+فيتا .. فيتا .. فيتا .. فيتا .. فيتا .. فيتا ..
+
+165
+00:10:10,720 --> 00:10:16,880
+فيتا .. فيتا .. فيتا .. فيتا .. فيتا .. فيتا ..
+
+166
+00:10:16,880 --> 00:10:20,000
+فيتا
+
+167
+00:10:20,000 --> 00:10:25,160
+.. فيتا .. فالان باستخدام الاسم FETA EQUAL FETA
+
+168
+00:10:25,160 --> 00:10:30,500
+NOT FETA NOT FETA NOT FETA
+
+169
+00:10:30,500 --> 00:10:33,880
+NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT
+
+170
+00:10:33,880 --> 00:10:35,960
+FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA
+
+171
+00:10:35,960 --> 00:10:37,060
+NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT
+
+172
+00:10:37,060 --> 00:10:37,560
+FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA
+
+173
+00:10:37,560 --> 00:10:38,260
+NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT
+
+174
+00:10:38,260 --> 00:10:38,580
+FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA
+
+175
+00:10:38,580 --> 00:10:40,940
+NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT
+
+176
+00:10:40,940 --> 00:10:40,940
+FETA NOT FETA NOT FETA NOT FETA NOT FETA NOT FETA
+
+177
+00:10:40,940 --> 00:10:46,940
+NOT FETA NOT FETA
+
+178
+00:10:46,940 --> 00:10:51,440
+NOT FETA NOT FETAوالثالثة على خمسة باية .. خمسة
+
+179
+00:10:51,440 --> 00:10:52,940
+باية .. خمسة باية .. خمسة باية .. خمسة باية ..
+
+180
+00:10:52,940 --> 00:10:59,540
+خمسة باية .. خمسة باية .. خمسة باية .. خمسة باية
+
+181
+00:10:59,540 --> 00:11:00,860
+.. خمسة باية .. خمسة باية .. خمسة باية .. خمسة
+
+182
+00:11:00,860 --> 00:11:00,900
+باية .. خمسة باية .. خمسة باية .. خمسة باية ..
+
+183
+00:11:00,900 --> 00:11:01,720
+خمسة باية .. خمسة باية .. خمسة باية .. خمسة باية
+
+184
+00:11:01,720 --> 00:11:06,740
+.. خمسة باية .. خمسة باية .. خمسة باية .. خمسة
+
+185
+00:11:06,740 --> 00:11:13,580
+باية .. خمسة باية .. خمسة باية .. خمسة باية .. خ
+
+186
+00:11:14,000 --> 00:11:17,720
+باي على أربع هذي ال alpha يا بنات ال alpha هي ال
+
+187
+00:11:17,720 --> 00:11:23,440
+باي على أربع برضه كمان مرة خمسة باي على أشرين خمسة
+
+188
+00:11:23,440 --> 00:11:31,240
+إذا باي على أربع هي نفسها طبعا فطلعت
+
+189
+00:11:31,240 --> 00:11:34,840
+ثيتا خمسين باي طبعا أسهل هنا أخليها بداية ال باي
+
+190
+00:11:34,840 --> 00:11:38,380
+عشان لما أجسمها اتنين باي أكم دورة بتطلعخمس عشرين
+
+191
+00:11:38,380 --> 00:11:39,760
+دورة .. خمس عشرين دورة .. خمس عشرين دورة .. خمس
+
+192
+00:11:39,760 --> 00:11:39,940
+عشرين دورة .. خمس عشرين دورة .. خمس عشرين دورة ..
+
+193
+00:11:39,940 --> 00:11:40,460
+خمس عشرين دورة .. خمس عشرين دورة .. خمس عشرين دورة
+
+194
+00:11:40,460 --> 00:11:41,340
+.. خمس عشرين دورة .. خمس عشرين دورة .. خمس عشرين
+
+195
+00:11:41,340 --> 00:11:43,580
+دورة .. خمس عشرين دورة .. خمس عشرين دورة .. خمس
+
+196
+00:11:43,580 --> 00:11:46,760
+عشرين دورة .. خمس عشرين دورة .. خمس عشرين دورة ..
+
+197
+00:11:46,760 --> 00:11:50,560
+خمس عشرين دورة .. خمس عشرين دورة .. خمس عشرين دورة
+
+198
+00:11:50,560 --> 00:11:54,680
+.. خمس
+
+199
+00:11:54,680 --> 00:12:03,820
+عشرين دورة .. خمس عشرين دورة .. خمس
+
+200
+00:12:03,820 --> 00:12:09,420
+عهاجة بده ال radian و ال tangential ال radian سهل
+
+201
+00:12:09,420 --> 00:12:13,520
+R أميجا نوت تربيع هو طبعا بدهيها عند أميجا نوت
+
+202
+00:12:13,520 --> 00:12:17,420
+فجبتها سبعة و نص با تربيع متر per second square و
+
+203
+00:12:17,420 --> 00:12:22,560
+ال tangential R في ألفة اللي تقوهين عملناها R في
+
+204
+00:12:22,560 --> 00:12:26,340
+ألفة و الألفة انت طلعتها لك أصبعي على أربعة ف O.3
+
+205
+00:12:26,340 --> 00:12:31,180
+في بايا على أربعة و بنعملها في أي صفصاةأسئلة ساكنة
+
+206
+00:12:31,180 --> 00:12:38,400
+شوية شوية دخلنا .. بدنا ندخل الآن بالموضوع الأصلي
+
+207
+00:12:43,470 --> 00:12:48,250
+أحنا متفقين أننا عملنا في تبدلات هين اللي بنعملها
+
+208
+00:12:48,250 --> 00:12:53,190
+وبالتالي أول قوانين استخدمناها في chapter 2
+
+209
+00:12:53,190 --> 00:12:59,210
+استبدلت بدل ما هي قوانين إلها دعوات V و X و A صارت
+
+210
+00:12:59,210 --> 00:13:03,070
+إلها دعوات فيتا و Omega و Alpha وكإني أنا إيش بدي
+
+211
+00:13:03,070 --> 00:13:07,570
+أقول .. chapter 10 هذا بدي أراجع من chapter 2 ل
+
+212
+00:13:07,570 --> 00:13:12,630
+chapter 8 إيش مرّت علينا قوانين بدي أبدلهابدي
+
+213
+00:13:12,630 --> 00:13:17,510
+أبدلها و أشوف كيف أبدلها فهمت أنا لحد الآن أن X ..
+
+214
+00:13:17,510 --> 00:13:21,090
+وين ما تشوف X إيه بتبدلها؟ فيتا وين تشوف V؟ إيش
+
+215
+00:13:21,090 --> 00:13:26,130
+بيتبدلها؟ Omega وين تشوف A؟ لسه ما خلصماش، في عندي
+
+216
+00:13:26,130 --> 00:13:29,350
+كتلة، في عندي force وفي عندي linear momentum
+
+217
+00:13:29,350 --> 00:13:32,510
+الشفرة من الماضي، صح ولا لا؟ العنوان kinetic
+
+218
+00:13:32,510 --> 00:13:39,570
+energy مر علينا مر علينا، مين ينجلني قانون؟نص M V
+
+219
+00:13:39,570 --> 00:13:47,330
+تربيه كنا نقول K بيسووا نص M V تربيه حقك طلعوا هنا
+
+220
+00:13:48,480 --> 00:13:51,980
+النص بتتبدأ؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+221
+00:13:51,980 --> 00:13:52,020
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+222
+00:13:52,020 --> 00:13:55,660
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+223
+00:13:55,660 --> 00:13:58,180
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+224
+00:13:58,180 --> 00:13:58,180
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+225
+00:13:58,180 --> 00:13:58,180
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+226
+00:13:58,180 --> 00:14:03,440
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+227
+00:14:03,440 --> 00:14:18,260
+لأ
+
+228
+00:14:20,270 --> 00:14:24,670
+نشوف إيش بده يطلع معانا .. بيقوللي هالجسم بدور ..
+
+229
+00:14:24,670 --> 00:14:28,410
+هذا جسم بدور .. أي جسم .. الهوايا .. جاب ريشة من
+
+230
+00:14:28,410 --> 00:14:34,830
+هالريش تبعت الهوايا .. بس شوية أسمل .. تمه ..
+
+231
+00:14:34,830 --> 00:14:37,870
+قاللي الآن .. هذه الريشة و لا هذا الجسم .. بده
+
+232
+00:14:37,870 --> 00:14:40,470
+يجيب الكائنات الكنجي تبعته .. طب هو هذا particle
+
+233
+00:14:40,470 --> 00:14:42,670
+واحد و لا كذا particle؟
+
+234
+00:14:51,880 --> 00:14:56,560
+فقيد التصوير هذا المهم فهذا واحد منهم طيب كيف بدي
+
+235
+00:14:56,560 --> 00:14:59,740
+أجيب أنا الكوينة تكنولوجيا vector ولا scalar؟
+
+236
+00:14:59,740 --> 00:15:03,180
+كوينة تكنولوجيا scalar سكالر؟ سكالر طيب نفترض أن
+
+237
+00:15:03,180 --> 00:15:07,880
+هذا الجسم كله متكون من 100 particles صغير و بدي
+
+238
+00:15:07,880 --> 00:15:10,180
+أجيب الكوينة تكنولوجيا الكلية مش بدي أجيب لكل واحد
+
+239
+00:15:10,180 --> 00:15:14,320
+لواحد مع بعض و بعدين أجمحهم و جمع عبارة عن scalars
+
+240
+00:15:14,320 --> 00:15:20,310
+طب خلاني أجيب لواحد بس و بعدين أجمح بقولليconsider
+
+241
+00:15:20,310 --> 00:15:23,550
+a rigid body الهواية او الجسم اللي انتوا شايفينه
+
+242
+00:15:23,550 --> 00:15:27,190
+rotating a body consists of small particles طبعا
+
+243
+00:15:27,190 --> 00:15:30,650
+تكون من particles كثير rotate about a fixed axis
+
+244
+00:15:30,650 --> 00:15:34,130
+بدور حوالين ال axis هذه العمود هي محور الدوران هو
+
+245
+00:15:34,130 --> 00:15:36,370
+العمود تبع الهواية نحن اللي عندنا هواية في الصفحة
+
+246
+00:15:36,370 --> 00:15:39,190
+عشان نمثل عليها تمام؟ هي محور الدوران احنا محور
+
+247
+00:15:39,190 --> 00:15:43,290
+الدوران هو العمود هذا لأنه هذه بتلف حواليه تمام
+
+248
+00:15:44,320 --> 00:15:48,620
+about a fixed axis with angular velocity ω في واحد
+
+249
+00:15:48,620 --> 00:15:51,820
+من ال particles ω تبعته بتختلف عن التانية؟ لأ لأ
+
+250
+00:15:51,820 --> 00:15:55,920
+بتاوى أخدناها لكن كلهم يلهم نفس ال V؟ لأ لأ متفقن
+
+251
+00:15:55,920 --> 00:16:01,580
+حلو صحين اليوم تمام بيقولي طيب the kinetic energy
+
+252
+00:16:01,580 --> 00:16:05,400
+بس ل particle واحد ال Ith particle طبعا بتحط ال
+
+253
+00:16:05,400 --> 00:16:08,600
+Ith عشان مدجوكش أقول الخامس ولا السادس ولا السابع
+
+254
+00:16:08,600 --> 00:16:11,470
+لإن أنا عندي مية قلنا مظبوط ولا لأأي particle
+
+255
+00:16:11,470 --> 00:16:14,430
+أخدت؟ أخد كل واحد منهم. إيش تبتيبه؟ والله على
+
+256
+00:16:14,430 --> 00:16:17,670
+العشرين والتلاتين والاربعين، فبحطه الألف، أي واحد،
+
+257
+00:16:17,670 --> 00:16:21,110
+والـI هذا، الـI ممكن يكون واحد ساعتها الأول، لو
+
+258
+00:16:21,110 --> 00:16:24,930
+كانوا الـI تسعين، رقمه تسعين، فبكون متغير يعني،
+
+259
+00:16:24,930 --> 00:16:28,050
+وكأنه بقول كل واحد بياخد particle خاص بيه، يعني
+
+260
+00:16:28,050 --> 00:16:29,970
+أنا بديت في هذا، انت تقوم بيقول لأ أنا بديت
+
+261
+00:16:29,970 --> 00:16:32,830
+التالي، واحدة تقول أنا بدي العاشر، وبالتالي الـI
+
+262
+00:16:32,830 --> 00:16:36,790
+كل واحدة I تبعتها إلها، تمام، بحسي كده، بيسموه
+
+263
+00:16:36,790 --> 00:16:43,350
+الـI particleof the mass mi الكتلة تبعت العاشر و
+
+264
+00:16:43,350 --> 00:16:49,590
+لا السادس and linear speed vi نصف الف تربيع مثلا و
+
+265
+00:16:49,590 --> 00:16:53,490
+انتوا نجدونيها هاي الكائنات ال energy حلو جهنا
+
+266
+00:16:53,490 --> 00:16:58,890
+الان بدأتي بالكائنات ال energy للكل اجمع بس قبل ما
+
+267
+00:16:58,890 --> 00:17:02,570
+تجمع هذه ال vi عشانها تتغير من particle ل particle
+
+268
+00:17:02,570 --> 00:17:06,450
+بدي أحطها بدلات ال ri و ال omega ليش محطة بتشتين i
+
+269
+00:17:07,900 --> 00:17:12,240
+لأنه ذالك .. لأن الأول والتاني والعاشر والمية كلهم
+
+270
+00:17:12,240 --> 00:17:16,040
+لهم نفس الـ Omega فجالي حط أوميجا طيب يا عمي هاكم
+
+271
+00:17:16,040 --> 00:17:20,340
+غوشتوا عليا قولتلي ده ثالثة معروفة ثمان إذا صارت
+
+272
+00:17:20,340 --> 00:17:26,180
+حد هيك مش متفقين هيك؟ حلو جالي الآنالـ Total
+
+273
+00:17:26,180 --> 00:17:29,740
+Kinetic Energy .. إجمع .. مش أنا بدي الـ Total ..
+
+274
+00:17:29,740 --> 00:17:33,560
+إجمع .. و الجامعه ماشي عنا صاماشه .. بيقوللي إجمع
+
+275
+00:17:33,560 --> 00:17:37,060
+الـ Total Kinetic Energy لكل الـ Rotating Body ..
+
+276
+00:17:37,060 --> 00:17:42,160
+لكل الجسم .. is the sum of the Kinetic Energies of
+
+277
+00:17:42,160 --> 00:17:48,140
+the Individual Particles .. يعني .. وين اللي لتو
+
+278
+00:17:48,140 --> 00:17:53,290
+كتبنا احنا .. قولنا نص .. قص .. و ميجا تربيةوانت
+
+279
+00:17:53,290 --> 00:17:58,130
+بتقولها دي M مفروض تكون هيها ماطلعتش M M في R
+
+280
+00:17:58,130 --> 00:18:04,490
+واحدة تركيز و كرهولا في متر تربيع جنبها إذا هالماس
+
+281
+00:18:04,490 --> 00:18:10,910
+بدها mass إذا الكمية المناظرة للماس ماهياش mass
+
+282
+00:18:10,910 --> 00:18:17,010
+إيش هي M في R تربية هذه بنسميها ال moment of
+
+283
+00:18:17,010 --> 00:18:21,030
+inertia عزم القصور الذاتي إذا سمعتوا فيها ال
+
+284
+00:18:21,030 --> 00:18:27,210
+moment of inertia بيقول رك بيسوي نص I omega square
+
+285
+00:18:28,520 --> 00:18:34,160
+القانون الأول اللي جبتونيه يا شوة نص M V² صح نص M
+
+286
+00:18:34,160 --> 00:18:37,580
+V² الـ V² عملنا فيها Omega تربيع الـ M بيهش
+
+287
+00:18:37,580 --> 00:18:41,740
+السجلانة بالـ I بالـ I إذا إن الـ M بتاعة الحركة
+
+288
+00:18:41,740 --> 00:18:49,100
+الدورانية بتضلها M مضلتش M تمام؟ with M I equal M
+
+289
+00:18:49,100 --> 00:18:57,200
+I R I تربيع اللي هي هذه جبت منها تمامis called the
+
+290
+00:18:57,200 --> 00:19:03,340
+moment of inertia عزم القصور الذاتي طيب ما؟ طالعش
+
+291
+00:19:03,340 --> 00:19:07,500
+كاتبلي هنا it represents هذا بيمثل the mass in all
+
+292
+00:19:07,500 --> 00:19:11,000
+rotational equations وهذا بيقولك وين في قانون بعد
+
+293
+00:19:11,000 --> 00:19:16,440
+كده يجب تستبدله في M يجب تستبدلها I فهمتوا عليا
+
+294
+00:19:16,440 --> 00:19:22,060
+كيف؟ طيب يعني مثلا في عندك كمية اسمها B بساوي M في
+
+295
+00:19:22,060 --> 00:19:28,340
+D تذكرينها؟ إيش هذه؟الـ Momentum هادي إيه اللي
+
+296
+00:19:28,340 --> 00:19:31,780
+بيصير؟ بس هدا الله علم يبقى لها زي مين هي ولا لا،
+
+297
+00:19:31,780 --> 00:19:35,940
+بعدي أنا بشوفها، تمام؟ في قانون كان يقول F بيساوي
+
+298
+00:19:35,940 --> 00:19:41,800
+M إيه، ذاكرينه؟ قانون مينها ده؟ حافظين اسمه، تمام؟
+
+299
+00:19:41,800 --> 00:19:46,380
+في M ولا حد في M؟ إذا مين بيصير؟ وهادي؟ لسه حاجة
+
+300
+00:19:46,380 --> 00:19:52,720
+بتتفضل، بعدي أنا بشوفها، تمام؟ حلو تمام
+
+301
+00:19:54,530 --> 00:19:57,230
+طيب جالي هادى لما يكون في عندك كتل و انت عارف
+
+302
+00:19:57,230 --> 00:20:00,390
+عددهم و تقدر تجمعهم طب و لما تكون زي جسم اللي
+
+303
+00:20:00,390 --> 00:20:04,490
+جبتيه ليا و لا لهوايا أكم .. أكم كتلة فيه كامل ..
+
+304
+00:20:04,490 --> 00:20:06,850
+كامل .. كامل .. كامل .. كامل .. كامل .. كامل ..
+
+305
+00:20:06,850 --> 00:20:07,970
+كامل .. كامل .. كامل .. كامل .. كامل .. كامل ..
+
+306
+00:20:07,970 --> 00:20:08,310
+كامل .. كامل .. كامل .. كامل .. كامل .. كامل ..
+
+307
+00:20:08,310 --> 00:20:16,890
+كامل .. كامل .. كامل .. كامل .. كامل .. كامل ..
+
+308
+00:20:16,890 --> 00:20:19,010
+كامل .. كامل .. كامل .. كامل .. كامل .. كامل ..
+
+309
+00:20:19,010 --> 00:20:19,010
+كامل .. كامل .. كامل .. كامل .. كامل .. كامل ..
+
+310
+00:20:19,010 --> 00:20:21,780
+كاملعلى مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+311
+00:20:21,780 --> 00:20:22,920
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+312
+00:20:22,920 --> 00:20:24,720
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+313
+00:20:24,720 --> 00:20:26,980
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+314
+00:20:26,980 --> 00:20:27,060
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+315
+00:20:27,060 --> 00:20:33,120
+مجلد مجلد مجلد مجلد
+
+316
+00:20:33,120 --> 00:20:38,900
+مجلد مجلد
+
+317
+00:20:38,900 --> 00:20:46,980
+مجلد
+
+318
+00:20:46,980 --> 00:20:52,390
+مجمش هتدق عليكم كيف تحسبوا ال moment of inertia
+
+319
+00:20:52,390 --> 00:20:56,730
+غالبا هندقكم ياه ياذا بس لو كان الجسم صغير واحد مش
+
+320
+00:20:56,730 --> 00:21:02,090
+غيره ..مش غيره .. تمام؟ معناته أكم R فيه إله ..
+
+321
+00:21:02,090 --> 00:21:06,150
+فتتغير من جسم لجسم هم كم جسم هم .. واحد .. بقدر
+
+322
+00:21:06,150 --> 00:21:09,810
+أخلي حالي برا .. إيش بيضل جوة كامة؟ و مش تكمل
+
+323
+00:21:09,810 --> 00:21:13,930
+دقيقة؟ إذا R تتبيع في Mلما يكون جسم واحد، صح ولا
+
+324
+00:21:13,930 --> 00:21:18,970
+لأ؟ إذا لما يكون جسم صغير، خلاص I تسوي R تربيع في
+
+325
+00:21:18,970 --> 00:21:23,310
+الـM وخلاص، مافيش غيره أصلا من هنا تمام، where R
+
+326
+00:21:23,310 --> 00:21:26,710
+is the perpendicular distance from the element DM
+
+327
+00:21:26,710 --> 00:21:30,090
+to the axis of rotation، الشيء R يقول هي المسافة
+
+328
+00:21:30,090 --> 00:21:32,590
+العمودية من العنصر اللي اخترته لمحور الدوران،
+
+329
+00:21:32,590 --> 00:21:37,110
+لمحور الدوران عندك، تمامفي الكتاب موجودة هدول
+
+330
+00:21:37,110 --> 00:21:41,230
+بقولك انت هدول يمكن يمروا عليك وهي موجودين عندك ما
+
+331
+00:21:41,230 --> 00:21:47,750
+تحفظش ولا واحدة منهم احنا نقسم لزمكم رد بنقول هاي
+
+332
+00:21:47,750 --> 00:21:51,350
+آيه تاعة الرد لزمكم سليندر بنقول هاي آيه تاعة
+
+333
+00:21:51,350 --> 00:21:56,550
+السليندر بنديكم إياها يعني تمام؟ مش موجودة؟ جدوا
+
+334
+00:21:56,550 --> 00:21:57,030
+جدوا
+
+335
+00:21:59,940 --> 00:22:02,480
+أنا مغاوز لحالي يعني أنا حاط الصور هي محطوطة في
+
+336
+00:22:02,480 --> 00:22:06,380
+حاجتك وين الطبعة موجودين المهم طيب ميحن فيه جدول ع
+
+337
+00:22:06,380 --> 00:22:09,740
+كل ان احنا حاطينهم إلكم لو حد بده حلفة في الدار من
+
+338
+00:22:09,740 --> 00:22:12,820
+أسرة الكتاب عشان اللي بده عيلة desk يقدر يجيبهم
+
+339
+00:22:12,820 --> 00:22:16,020
+منها لكن في الاتحاد أنا بجيبلكم إياهمطبعا في
+
+340
+00:22:16,020 --> 00:22:19,740
+السؤال نفسه عاما بإنه ايه بتسوي كذا تمام؟ فانتوا
+
+341
+00:22:19,740 --> 00:22:23,400
+مش مطالبين كتير تشتقوها احنا هنشتقها احنا وياكم
+
+342
+00:22:23,400 --> 00:22:27,720
+هدول هدية هنشتقها هدول اللي هم تبعتها الرد تمام؟
+
+343
+00:22:27,720 --> 00:22:30,920
+فى بعض الأمور شوية صعبة وفى بعض الأمور سهلة يعني
+
+344
+00:22:30,920 --> 00:22:36,040
+مثلا هذه سهلة جدا ممكن نجيبها شفوانة وياكم نشتقها
+
+345
+00:22:36,040 --> 00:22:41,000
+احنا وياكم لكن خلينا نشتقها ال .. ال .. ال .. ال
+
+346
+00:22:41,000 --> 00:22:41,800
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+347
+00:22:41,800 --> 00:22:41,920
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+348
+00:22:41,920 --> 00:22:41,920
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+349
+00:22:41,920 --> 00:22:46,030
+ال .. ال .. الهذا محور الدوران وين؟ في النص .. هذا
+
+350
+00:22:46,030 --> 00:22:49,450
+محور الدوران وين؟ في الطرف .. طبعا الريشة هذه ..
+
+351
+00:22:49,450 --> 00:22:52,090
+ريشة بس .. ريشة واحدة .. محور الدوران وين؟ على
+
+352
+00:22:52,090 --> 00:22:55,030
+الطرف .. لكن لو كان هذا الجلم .. أنا أخرج من هنا و
+
+353
+00:22:55,030 --> 00:22:58,930
+أقول لف هيك .. معناته في النص .. إذا صار ال moment
+
+354
+00:22:58,930 --> 00:23:03,130
+.. ال mass اللي بتفرج معايا المحور وين؟ خلاص هذا
+
+355
+00:23:03,130 --> 00:23:06,230
+.. نفترض عشرة جرام .. عشرة جرام .. لكن الـ moment
+
+356
+00:23:06,230 --> 00:23:09,290
+of inertia اللي ده هو بـI .. وبالتالي محور الدوران
+
+357
+00:23:09,290 --> 00:23:17,330
+وين هو بأثر على I .. تمام؟ فبتختلف ..خلّينا نحاول
+
+358
+00:23:17,330 --> 00:23:21,910
+أن نثبت هذه الصورة بماذا هو هذه الصورة انها 1.12 M
+
+359
+00:23:21,910 --> 00:23:26,730
+التربية وهذه تلت M التربية تلت M تربية وهذه 1.12 M
+
+360
+00:23:26,730 --> 00:23:32,380
+تربية بس تختلف محور الدورانCalculate the moment of
+
+361
+00:23:32,380 --> 00:23:38,580
+inertia of a uniform thin rod of mass capital M
+
+362
+00:23:38,580 --> 00:23:43,020
+and length L about an axis normal to its length
+
+363
+00:23:43,020 --> 00:23:47,740
+أولاً at one end عند الطرف وبقى at its center
+
+364
+00:23:47,740 --> 00:23:53,320
+تمام؟ إذن هذا ال rod عبارة عن uniformuniform لا
+
+365
+00:23:53,320 --> 00:23:56,640
+يوجد فيه منطقة خميلة أو منطقة رفيعة كله زي بعضه
+
+366
+00:23:56,640 --> 00:24:01,760
+تمام؟ و thin يعني سلك فيه كتير عشان ما تقولوليش
+
+367
+00:24:01,760 --> 00:24:05,540
+انه فيه مساحة ولا مش عارف ايش لأ هو سلك رفيع جدا ف
+
+368
+00:24:05,540 --> 00:24:10,020
+thin رد بالتالي الكتلة الموزعة على حجم ولا على سطح
+
+369
+00:24:10,020 --> 00:24:14,140
+ولا على طول على طول على طول فهمتوا علي كيف؟ ذكيه
+
+370
+00:24:14,140 --> 00:24:16,660
+لما قلنا ال lambda و ال sigma و ال rho؟ تمام ال
+
+371
+00:24:16,660 --> 00:24:20,270
+lambda علاش؟ع طول، إذا هجيت أنا بتلزمني Lambda ولا
+
+372
+00:24:20,270 --> 00:24:24,970
+Sigma ولا Rho؟ Lambda، بس عشان كده تمام، بقول
+
+373
+00:24:24,970 --> 00:24:27,310
+خليني أشوف، قال لي شوف القانون تبعت، قال لي هي
+
+374
+00:24:27,310 --> 00:24:33,730
+قانوني I بتساوي R تلبي ع DM هي القانون، هجيت أول
+
+375
+00:24:33,730 --> 00:24:39,820
+حاجة بدي أعملها شيء Rالمسافة بين DM ومحبر الدوران،
+
+376
+00:24:39,820 --> 00:24:44,100
+ماشي؟ طب هجيب مفعل يبقى عارف من دون ما حدد العنصر،
+
+377
+00:24:44,100 --> 00:24:47,080
+إذا أنا أول خطوة إيش بدي أساويها؟ بتختار عنصر و
+
+378
+00:24:47,080 --> 00:24:50,320
+توجهلنا للعنصر، انت بتختاره، انت حار تمام، جالي هي
+
+379
+00:24:50,320 --> 00:24:55,560
+ال rod تبعك، هي الزرجة وهذه طولها L، تمام، وهي
+
+380
+00:24:55,560 --> 00:25:01,130
+عنصري، شايفينه الأحمر؟ هجيب ال computer جيبهالـ Y
+
+381
+00:25:01,130 --> 00:25:04,810
+Axis بتقدر تجيبوا المسافة بين العنصر الأحمر ومحور
+
+382
+00:25:04,810 --> 00:25:08,710
+الدوران و لا لأ؟ بتقدر نجيبها صحيح و لا لأ؟ تمام
+
+383
+00:25:08,710 --> 00:25:12,890
+هاي .. هاي المسافة X إذا بدي ال R بحط X و لا لأ هل
+
+384
+00:25:12,890 --> 00:25:17,970
+جيت؟ مظبوط و لا لأ؟ بدي ال R بحط X تمام و DM خلاص
+
+385
+00:25:17,970 --> 00:25:24,550
+بصير أقول using the equation I بتسوي R تربيع DM
+
+386
+00:25:24,550 --> 00:25:30,700
+هذا قانوني إيش هحط بدي ال R؟ Xيلا يا شاطري الكامل
+
+387
+00:25:32,110 --> 00:25:35,190
+فكرت كم ممكن تخلطه كمان مرة ماضي خلطته و قلتله
+
+388
+00:25:35,190 --> 00:25:39,850
+اكسا كمية ع تلاتة او اكسا كمية ع تلاتة اذا ليش بده
+
+389
+00:25:39,850 --> 00:25:44,830
+يبقى لقبل الميليون؟ بالكتلة و طول، كتلة و بعض،
+
+390
+00:25:44,830 --> 00:25:49,290
+مابيجيبهاش الى الكثافات، صح؟ طبعا أنا عندي طول،
+
+391
+00:25:49,290 --> 00:25:52,390
+وبالتالي الكثافة تبعتي هي Lambda هي Lambda، زي ما
+
+392
+00:25:52,390 --> 00:25:55,510
+عملت في الـcentre of mass بالظبط فبقول using the
+
+393
+00:25:55,510 --> 00:25:58,690
+definition of linear mass density Lambda اللي
+
+394
+00:25:58,690 --> 00:26:03,600
+بتقول Lambda بالساويةكتلة العنصر على طول العنصر أو
+
+395
+00:26:03,600 --> 00:26:07,720
+كتلة الرد على طول الرد واحدة منهم إذا بقدر أقول DM
+
+396
+00:26:07,720 --> 00:26:12,800
+بتساوي M في DX على L أو DM بتساوي Lambda في DX أي
+
+397
+00:26:12,800 --> 00:26:16,980
+استفسار؟ عملت أنا قبل كده في الـ Citra of Mars، دي
+
+398
+00:26:16,980 --> 00:26:21,620
+بالكم؟ تمام، فبقول DM بتساوي Lambda DX، أعوض هنا
+
+399
+00:26:21,620 --> 00:26:27,220
+Lambda برة، عشان الـ Uniform فصارت DX تربيع على
+
+400
+00:26:27,220 --> 00:26:31,190
+DX، ابنتي بيبقى نتطلع، شايفين هال X انتوا؟شايفينها
+
+401
+00:26:31,190 --> 00:26:37,070
+X؟ تمام هذا العنصر مش الوحيد العناصر عشان تغطي كل
+
+402
+00:26:37,070 --> 00:26:43,010
+الرد بده تكون تغطي كل منطقة الزرجة صح ولا لا؟ أول
+
+403
+00:26:43,010 --> 00:26:50,430
+عنصر من بداية الرد ويبدو كون X سبعته 0 واخر واحد X
+
+404
+00:26:50,430 --> 00:26:55,470
+سبعته L إذا من 0 لL أنا بغير على ال L فهذه التكامل
+
+405
+00:26:55,470 --> 00:27:01,700
+سهل X تربيع دي X هو X كعيبة على 3 بعملهاتلت X
+
+406
+00:27:01,700 --> 00:27:05,780
+تربية من 0 تلاتة فهذه تلت Lambda L تكعيب ال Lambda
+
+407
+00:27:05,780 --> 00:27:09,480
+بده أحط محالها M على L كمان مرة عشان أجيبها هذه
+
+408
+00:27:09,480 --> 00:27:14,700
+لما أحط M على L فبتصير L تربية فهيها تلت ML تربية
+
+409
+00:27:14,700 --> 00:27:21,340
+مش مياموسكتلان صحيح ولا لأ؟ تمام طيب بقول طب هجيت
+
+410
+00:27:21,340 --> 00:27:26,620
+لو محور الدوران هنا تشوفون صار محور الدوران؟ خليني
+
+411
+00:27:26,620 --> 00:27:30,150
+أشوفوقال لي هذا هو إيش غير؟ وقال لي بدك عنصر، حلو،
+
+412
+00:27:30,150 --> 00:27:34,070
+هاي عنصري، في خلاف، وهي X، و X أنا ماجيسها من وين؟
+
+413
+00:27:34,070 --> 00:27:39,260
+مش من عند نقطة العصر؟ جيستهاتمام عوض بقى الـ R
+
+414
+00:27:39,260 --> 00:27:44,560
+تربيعيش مضحكة X تربيعي لأن R هو بعد العنصر عن محور
+
+415
+00:27:44,560 --> 00:27:48,180
+الدوران و أنا حددت بعد العنصر عن محور الدوران بـ X
+
+416
+00:27:48,180 --> 00:27:53,100
+إذا حاطيتها وهينا عملتها بنفع كامل؟ قال لي لأ لازم
+
+417
+00:27:53,100 --> 00:27:57,840
+أجيب علاقة بال DM و DX طيب ده وعملتها قلنا DM
+
+418
+00:27:57,840 --> 00:28:04,120
+بيساوي Lambda DX إذا صار I Lambda طلعتها برا X
+
+419
+00:28:04,120 --> 00:28:10,790
+تربيع DXمظبوط ولا لا؟ المرة هذه قولت X بتتغير من
+
+420
+00:28:10,790 --> 00:28:16,450
+صفر لإيه؟ طب هنا كيف بتغير X؟ صفر لإيه؟ صفر لإيه؟
+
+421
+00:28:16,450 --> 00:28:21,790
+صفر لإيه؟ صفر لإيه؟ صفر لإيه؟من 0 من هنا يعني لـ 0
+
+422
+00:28:21,790 --> 00:28:26,830
+.5 إلى .. جمعت هذه ولا هي بتزعل منك .. إذا أنا بدي
+
+423
+00:28:26,830 --> 00:28:30,110
+أبدأ من هنا .. و بدي أخلص هنا .. بس أنا بدي أجمع
+
+424
+00:28:30,110 --> 00:28:33,450
+.. نص ال road ولا كل ال road .. إذا بدي كل العماصل
+
+425
+00:28:33,450 --> 00:28:36,970
+المكونة لل road .. كل العماصل المكونة لل road ..
+
+426
+00:28:36,970 --> 00:28:40,470
+لما أقول من 0 من هنا بدي أبدأ .. صح؟ لما أظل ماشي
+
+427
+00:28:40,470 --> 00:28:43,930
+هنا وصلت .. نص ال .. هذه .. طيب .. بتكون خلصت كل
+
+428
+00:28:43,930 --> 00:28:48,170
+ال road؟بدي هدى، لازم أبدأ من هنا من هنا بدي أبدأ
+
+429
+00:28:48,170 --> 00:28:51,670
+من السالب تبع الـ x-axis إذا لو أنا هدى جالي L،
+
+430
+00:28:51,670 --> 00:28:54,610
+معناته هدى ناقص L على 2، هو هدى L على 2 ولا لا؟
+
+431
+00:28:54,610 --> 00:28:59,510
+إذا من willowinx تبعتي عشان تغيّطي ليه كل الرد من
+
+432
+00:28:59,510 --> 00:29:03,940
+ناقص L على 2 لL على 2كنتوا عليا؟ إذن هي تنقل
+
+433
+00:29:03,940 --> 00:29:07,300
+الوحيدة إني أنا غيرت حدود التكامل شوف جديش حدود
+
+434
+00:29:07,300 --> 00:29:11,060
+التكامل أفرج معايا كتير؟ إذن قلتله بعد ما أعمل إيه
+
+435
+00:29:11,060 --> 00:29:14,960
+تشوفه؟ من ناقص L على 2 لL على 2 من ناقص L على 2 لL
+
+436
+00:29:14,960 --> 00:29:18,720
+على 2 اتغير تكامل X تربيع DX هو X تكعيب على 3؟
+
+437
+00:29:18,720 --> 00:29:25,450
+مافي إيش يتغير؟ لاتمام العتنين كعبها التكعبعة
+
+438
+00:29:25,450 --> 00:29:31,010
+تمانية صحيح ولا لأ ناقص و كمان ناقص صارت برضه
+
+439
+00:29:31,010 --> 00:29:36,210
+التكعبعة تمانية تمون و تمون تمون و تمون تمنين ربع
+
+440
+00:29:36,210 --> 00:29:40,910
+يعني ربع مظبوط تمون و تمون ربع و هنا في تلاتة
+
+441
+00:29:40,910 --> 00:29:45,510
+صاروا اتنعاش صحيح ولا لأ فصارت اتنعاش لامدة التكعب
+
+442
+00:29:45,510 --> 00:29:51,250
+جالي لامدة بيساوي M على L فطلعناهاهنا جيبنا
+
+443
+00:29:51,250 --> 00:29:55,870
+التنتين جيبنا واحدة تلت و واحدة ع اتناشر خلينا
+
+444
+00:29:55,870 --> 00:30:01,590
+نرجع بس عشان الرسمة .. اوه بقى .. هدا نرجع كتير
+
+445
+00:30:01,590 --> 00:30:05,090
+عشان أقولتلكم فيش أهل و أهل
+
+446
+00:30:08,660 --> 00:30:11,960
+لأ .. لأ ما قلتلك ما تحفظهم إيه؟ ما قلتلك أنا
+
+447
+00:30:11,960 --> 00:30:16,400
+مشحتك إياهم؟ أه .. أه .. ولا شقاقهم مطلوب منكوا ..
+
+448
+00:30:16,400 --> 00:30:20,820
+ولا شقاقهم مطلوب منكوا .. بس هذه هيك تسخين يعني ..
+
+449
+00:30:20,820 --> 00:30:26,560
+خليني هذه .. هذه تتبلك إما cylinder أو hoop ..
+
+450
+00:30:26,560 --> 00:30:28,520
+hoop يعني إيش يا بنا؟ ال talk .. تعرف ال talk
+
+451
+00:30:28,520 --> 00:30:32,740
+تبعكم .. بس مدور كامل .. تمام؟ ring يعني .. طلعوا
+
+452
+00:30:32,740 --> 00:30:37,040
+ال hoop بتبعتي هيها .. بتدور حوالين محور الدوران
+
+453
+00:30:37,040 --> 00:30:40,720
+.. هي محور الدوران ..فمتوا عليه كيف؟ إسورة ..
+
+454
+00:30:40,720 --> 00:30:43,960
+الإسورة تبعتكم جموها و حطوا محور الدوران في النص
+
+455
+00:30:43,960 --> 00:30:47,640
+.. و تصوروا .. خدوا عنصر من الإسورة .. خدوا عنصر
+
+456
+00:30:47,640 --> 00:30:52,200
+.. بقى دي الإسورة عن النص إيش هو؟ R .. نص القطر ..
+
+457
+00:30:52,200 --> 00:30:55,020
+طب و أنتوا ماشيين على الإسورة نفسها، بتغير نص
+
+458
+00:30:55,020 --> 00:30:58,460
+القطر؟ لأ .. إذا أن أنتوا لما تكتبوا I بالساوية
+
+459
+00:30:58,460 --> 00:31:01,920
+تكامل R تربيع DM، بقدر هادي أسميها R تربيع و أطلع
+
+460
+00:31:01,920 --> 00:31:05,440
+عبر التكامل؟ I .. طب إيش تكامل ال DM؟
+
+461
+00:31:09,120 --> 00:31:11,840
+Hi I'm Arthur Biazzi هذي أسهل كانت تبتدنا يعني
+
+462
+00:31:11,840 --> 00:31:14,960
+الأول بعدين نرد و نغلبنا صح؟ يعني أكيد محور
+
+463
+00:31:14,960 --> 00:31:18,020
+الدوران أنا اللي بختاره عادي لأ هو بيقوللي هاجيت
+
+464
+00:31:18,020 --> 00:31:20,280
+لو كان محور الدوران في النص ذائق في الطرات هو
+
+465
+00:31:20,280 --> 00:31:23,580
+بيقولك أو جي دي آي لما يقولي أو جي دي آي بنفعش
+
+466
+00:31:23,580 --> 00:31:26,840
+أقوله عند أي محور دوران لازم يحددني محور الدوران
+
+467
+00:31:26,840 --> 00:31:29,120
+لأنه بيختلف من محور الدوران لمحور الدوران قصة
+
+468
+00:31:29,120 --> 00:31:33,930
+طويلة عريضة يعني تمام؟لأ، واحدة واحدة، هذه من جنبه
+
+469
+00:31:33,930 --> 00:31:37,130
+مهوية بتاخد عنصر، بتغلب، بس هذه خلّيني أقول هذه
+
+470
+00:31:37,130 --> 00:31:40,550
+للهو طب السيلندر اللي من جوا فاضية، اللي هي
+
+471
+00:31:40,550 --> 00:31:43,270
+السيلندر الفاضية، خلّيني أكمل هذا بس على الأقل
+
+472
+00:31:43,270 --> 00:31:47,650
+السيلندر الفاضي هذه مش هي عبارة عن عشرة أساور فوق
+
+473
+00:31:47,650 --> 00:31:51,370
+بعض، مظبوط، عشرة أساور فوق بعض، طلعت السيلندر من
+
+474
+00:31:51,370 --> 00:31:56,070
+جوا فاضية، تمام؟ إذا العنصر هو تبع إيش؟تبع الـ
+
+475
+00:31:56,070 --> 00:32:02,310
+hoop إذا معناته هذي أم أر تربية بالتفاصيل أر تربية
+
+476
+00:32:02,310 --> 00:32:09,330
+تكامل ال DM كامل ال DM أبقى نص لندى طبعا كلهم لهم
+
+477
+00:32:09,330 --> 00:32:12,610
+افتخاقات بس هنلاش أخش في تقاطيهم تمام لأنه
+
+478
+00:32:12,610 --> 00:32:16,590
+الرياضيات تبعتهم في منهم سهل زي ما انا اخترت وضحكت
+
+479
+00:32:16,590 --> 00:32:20,250
+عليكم بالسهللأن ما أقول منكم الباقي، يمكن هذه أصعب
+
+480
+00:32:20,250 --> 00:32:24,490
+حاجة تتعامل معاها، تمام؟ أظن أن هذا موجود عندكم
+
+481
+00:32:24,490 --> 00:32:30,050
+سؤال، فيعني فيه سهل وفيه صعب، وليس سهل ولا صعب
+
+482
+00:32:30,050 --> 00:32:32,390
+أقول منكم، يا رايحوا حالكم يعني، مش أن أنا حلت
+
+483
+00:32:32,390 --> 00:32:38,530
+السهل وحجبكم الصعب في الامتحان، لا، تمام احنا لسه
+
+484
+00:32:38,530 --> 00:32:41,610
+حد زي ما بنقول بنسخن معاكم انتوا لسه على الأمور
+
+485
+00:32:41,610 --> 00:32:49,260
+هذه هتيجيكم حسب التخصص تبعكم، كيف تحسبوها؟بشتغلوها
+
+486
+00:32:49,260 --> 00:32:52,840
+كتير طبعا في الهندسة المدنية و الهندسة الميكانيكية
+
+487
+00:32:52,840 --> 00:32:56,340
+و الفيزياء بطبيعة الحال و مرضات في التفارق و في
+
+488
+00:32:56,340 --> 00:33:07,500
+الرياضيات حسبنا تمام خلصنا من ان ال X استبدلات
+
+489
+00:33:07,500 --> 00:33:12,580
+بفيتا ال V استبدلات بوميجا ال A استبدلات بالفا ال
+
+490
+00:33:12,580 --> 00:33:12,880
+M
+
+491
+00:33:16,410 --> 00:33:21,910
+حين نكمل نجرب أن نتعرف على كمية زي جي دا اسمها
+
+492
+00:33:21,910 --> 00:33:28,990
+العزم ال torque عزم القوة تماك ال torque ها دي
+
+493
+00:33:28,990 --> 00:33:34,790
+معناته العزم بيقول لي consider .. خليني .. عشان
+
+494
+00:33:34,790 --> 00:33:35,510
+أتحرك بس
+
+495
+00:33:54,590 --> 00:33:58,370
+صحيحة؟ هجيب أنا حاطة الأقرا هنا و ممكن أحط الأقرا
+
+496
+00:33:58,370 --> 00:34:04,230
+هنا، أه بحط الأقرا هنا و ممكن أحط الأقرا هنا، فلما
+
+497
+00:34:04,230 --> 00:34:07,150
+يكون الأقرا هنا يمكن واحد يفتحه، و الله يفتحه، و
+
+498
+00:34:07,150 --> 00:34:11,490
+الله يعرف يفتحه، صحيح ولا لأ؟ ده لما احنا بنت احنا
+
+499
+00:34:11,490 --> 00:34:13,190
+بقى بالكتير و بصغير، احنا ماعجبنا الحدث
+
+500
+00:34:22,040 --> 00:34:27,620
+إذا اللي مسؤول عن الدورة مش قوة بس، قوة و برض، قوة
+
+501
+00:34:27,620 --> 00:34:32,140
+و برض، إذا إن أنا عندي قوة و برض، هذه بيسميها عزم
+
+502
+00:34:32,140 --> 00:34:36,240
+أو قوة، عشان الدور لازم يكون في عندك عزم، عشان كده
+
+503
+00:34:36,240 --> 00:34:42,280
+دورة لما كنت تفكرو جبتوا .. خلّيني أقول انفك و لا
+
+504
+00:34:42,280 --> 00:34:45,780
+جبتوا مفتاح و مافكش معاكم بروحوا يجيبوا في سلكة
+
+505
+00:34:45,780 --> 00:34:50,320
+طوية حديدة طويلة تحطوها بالمفتاح و بتضغطوا بتفك
+
+506
+00:34:50,320 --> 00:34:55,620
+معاهم لما يجيبوا الحديدة الطويلة بيزيدوا بعد القوة
+
+507
+00:34:55,620 --> 00:34:58,620
+عن المركز و بالزي بالتالي بيزيدي العزل لأن المرغل
+
+508
+00:34:58,620 --> 00:35:02,080
+في الآخر بدي ينكسر ولا بدي يدور بدي يدور .. إذا
+
+509
+00:35:02,080 --> 00:35:06,200
+نقشن مثلا عن دوراني مش قوة عزل تمام؟ هذا هو العزل
+
+510
+00:35:06,200 --> 00:35:12,030
+ماقدر نحكي عنه كتير بيقولن considerيقول لي هذي جثم
+
+511
+00:35:13,000 --> 00:35:17,800
+ربطه من هنا و بدي أشده و هنا هنا ثابت إذا بدي أدور
+
+512
+00:35:17,800 --> 00:35:22,660
+صح ولا لأ حيضه consider a force F acting on the
+
+513
+00:35:22,660 --> 00:35:26,240
+particle P in a rigid body ربطه عند نقطة P عند
+
+514
+00:35:26,240 --> 00:35:31,680
+مصمر معين أشهر the torque تعريف ال torque is due
+
+515
+00:35:31,680 --> 00:35:35,380
+to the force و العزم مربوط بقوة و كل قوة لها عزم
+
+516
+00:35:35,380 --> 00:35:39,320
+الخاص بيها تمام؟ then the torque of the force
+
+517
+00:35:39,320 --> 00:35:43,990
+capital F is definedكان تعريف By the cross product
+
+518
+00:35:43,990 --> 00:35:48,350
+of the vector R and the force vector F هاي تعريف
+
+519
+00:35:48,350 --> 00:35:55,390
+الطور R cross ال F R cross ال F A cross ال B بسميه
+
+520
+00:35:55,390 --> 00:36:01,330
+cross product او vector product ليه سمته vector
+
+521
+00:36:01,330 --> 00:36:07,190
+product؟ لأنه ناتج من vector لأنه
+
+522
+00:36:07,190 --> 00:36:12,570
+ناتج من vector productخلّينا بس نكمل لو جيت انا
+
+523
+00:36:12,570 --> 00:36:17,810
+بدي امده هذا و اجيب زاوية قائمة على افتراض و قولت
+
+524
+00:36:17,810 --> 00:36:24,910
+هذه R على اعتبار انها هذه بالتقابل فبتصير هذه
+
+525
+00:36:24,910 --> 00:36:29,320
+عبارة عن R Sin الزاويةهذه الزاوية لو كانت قائمة
+
+526
+00:36:29,320 --> 00:36:35,520
+هذا هو ذراع القوة المسافة العمودية هي ذراع القوة R
+
+527
+00:36:35,520 --> 00:36:38,880
+Sine الزاوية أنا أعرف A X B مش بيسوي A في B في
+
+528
+00:36:38,880 --> 00:36:43,620
+Sine الزاوية بينهم فبالتالي هذا F R في Sine
+
+529
+00:36:43,620 --> 00:36:49,550
+الزاوية بينهم هذا يا بنات هو هذاهو القوة العمودية
+
+530
+00:36:49,550 --> 00:36:54,850
+أو المسافة العمودية بين محور الدوران والقوة، اتجاه
+
+531
+00:36:54,850 --> 00:36:58,110
+القوة، الحالة اتعلمها أكتر، بسميها arbor
+
+532
+00:36:58,110 --> 00:37:00,510
+perpendicular، الذراع، ذراع القوة، انتوا خدتوها في
+
+533
+00:37:00,510 --> 00:37:03,370
+المدارس، اللي عادة بيساوي قوة في الذراع، صحيح ولا
+
+534
+00:37:03,370 --> 00:37:07,910
+لأ؟ فالذراع هي المسافة العمودية بين محور الدوران
+
+535
+00:37:07,910 --> 00:37:11,490
+وخط عمل القوة، ليش خط عمل القوة؟ جالي القوة
+
+536
+00:37:11,490 --> 00:37:14,450
+vector، واحنا متفقين من التاني شرط، من الأول
+
+537
+00:37:14,450 --> 00:37:18,410
+شرطات،إن الـ vector دلّك ماشي من هنا لما يصل حفة
+
+538
+00:37:18,410 --> 00:37:20,650
+مازال انت محافظ على ال magnitude و ال direction
+
+539
+00:37:20,650 --> 00:37:26,290
+بتأثرش فممكن انا امده تمام فبمده لما يصل هناك with
+
+540
+00:37:26,290 --> 00:37:30,030
+R perpendicular اللي هي R صينيزاوية is called the
+
+541
+00:37:30,030 --> 00:37:35,600
+moving armR يعني الذراع الذراع تبع العزم of the
+
+542
+00:37:35,600 --> 00:37:39,660
+force and is defined as the perpendicular distance
+
+543
+00:37:39,660 --> 00:37:43,080
+هو المسافة العمودية لازم نتعلم كيف نجيبها لأنه
+
+544
+00:37:43,080 --> 00:37:46,040
+مبني عليها هذا الشبطر و مبني عليها الشبطر اللي
+
+545
+00:37:46,040 --> 00:37:52,160
+يليه تمام كيف نجيب العزم يا
+
+546
+00:37:52,160 --> 00:37:56,530
+بنت مش هدى تزاوي شايفاهامش هدى و هدى بيقتقابل
+
+547
+00:37:56,530 --> 00:38:00,570
+بالرأس طب هدى المسافة مش هدى المقابلة و المقابل
+
+548
+00:38:00,570 --> 00:38:04,530
+بياخد صين و لا كوسين مش
+
+549
+00:38:04,530 --> 00:38:09,690
+هدى اه نفترض ان هدى صارت عندك وطر اه لأ مسلوف قايم
+
+550
+00:38:09,690 --> 00:38:15,850
+الزاوية حاجيت انا جيبت هيك قولتلك هدى دىبقدر أقول
+
+551
+00:38:15,850 --> 00:38:19,070
+إن هذي ثيتا بقدر أقول إن هذي دي صين الثيتا ولا لا
+
+552
+00:38:19,070 --> 00:38:23,650
+لأن صين الثيتا بالثاوية هذي على دي بقى سهل أعملته
+
+553
+00:38:23,650 --> 00:38:28,810
+يعني شغالة سهلة تمام؟ إذن with R perpendicular
+
+554
+00:38:28,810 --> 00:38:32,030
+اللي هو R الصين الزاوية اللي أنا بدلته is called
+
+555
+00:38:32,030 --> 00:38:36,410
+the moment arm of the force ذراعي العزم وكيف بدي
+
+556
+00:38:36,410 --> 00:38:39,910
+أجيبه؟ is defined as the perpendicular distance
+
+557
+00:38:39,910 --> 00:38:42,910
+المسافة العمودية from the point of rotation من
+
+558
+00:38:42,910 --> 00:38:45,990
+نقطة الدوران اللي بيكون معروفة إليكto the line of
+
+559
+00:38:45,990 --> 00:38:48,890
+action of the force لخط عمل القوة يعني أنت بدك
+
+560
+00:38:48,890 --> 00:38:52,550
+تطلع تمدي القوة لما تصير جبال نقطة الدوران تمدي
+
+561
+00:38:52,550 --> 00:38:56,190
+القوة لما تصير جبال نقطة الدوران بعدين تطلع من
+
+562
+00:38:56,190 --> 00:38:59,450
+نقطة الدوران و تطلع خط عمودي على هذا اللي مديته
+
+563
+00:38:59,450 --> 00:39:02,890
+يكون هذا هو الذراع هنعملوا عدة مرات و نشوفوا مع
+
+564
+00:39:02,890 --> 00:39:07,390
+بعض كيف طبعا اتفقنا طوال انا وياكم ان ال torque
+
+565
+00:39:07,390 --> 00:39:10,730
+positive .. vector ولا لا؟ اه من هذا العلاقة
+
+566
+00:39:10,730 --> 00:39:15,270
+vectorإذا نقله اتجاه طيب عشان كده موجود ضد عقارب
+
+567
+00:39:15,270 --> 00:39:19,730
+الساعة و مع عقارب الساحة صحيح ولا لأ طبعا دايما زي
+
+568
+00:39:19,730 --> 00:39:24,550
+ما احنا بنقول X و Y بنقول هي X و Yوبنتالي بنقول
+
+569
+00:39:24,550 --> 00:39:27,850
+يمين positive يسار negative مش هيك بنقول لكن ممكن
+
+570
+00:39:27,850 --> 00:39:31,410
+نغيره هذا ولا لا؟ اه ممكن إذا في شغلة default وفي
+
+571
+00:39:31,410 --> 00:39:35,170
+شغلة ممكن احنا نغيرها نفس العملية الدوران قالوا
+
+572
+00:39:35,170 --> 00:39:37,810
+بدنا نعمل حاجة default قالوا شو ال default؟ قالوا
+
+573
+00:39:37,810 --> 00:39:41,670
+واش الطبيعة بتعمل؟ كيف الدوران تتبع الطبيعة؟ عكسها
+
+574
+00:39:41,670 --> 00:39:45,130
+إذا خليه هو الموجب هي اتفاق يعني واحد جيجليب بقول
+
+575
+00:39:45,130 --> 00:39:49,070
+أه بجلب أنا بخلي مع عقل أنا مابحبش عقل بالساعة أنا
+
+576
+00:39:49,070 --> 00:39:51,950
+بحب الساعة مع الساعة هو الموجب صح لك بس بلاكتين
+
+577
+00:39:51,950 --> 00:39:56,540
+تفهم انت تتعامل معهافبقول ليه T is positive وقتها
+
+578
+00:39:56,540 --> 00:39:58,580
+اش if it tends to rotate the body counter
+
+579
+00:39:58,580 --> 00:40:01,940
+clockwise اذا بتعمل على دوران الجسم ضد عقارب
+
+580
+00:40:01,940 --> 00:40:04,880
+الساعة بيكون ال torque movement اذا بيعمل على
+
+581
+00:40:04,880 --> 00:40:08,700
+دوران الجسم ضد عقارب الساعة تمام هيك؟ طبعا في
+
+582
+00:40:08,700 --> 00:40:14,020
+النهاية لو انا مسكت هاديو لو عملتها هكذا، كيف
+
+583
+00:40:14,020 --> 00:40:18,740
+تدور؟ تدور هكذا، لكن لو عملتها هكذا، تدور عكسًا،
+
+584
+00:40:18,740 --> 00:40:22,100
+إذا اتجاه القوة هو اللي بيحدد كيف الدوران، معناته
+
+585
+00:40:22,100 --> 00:40:25,400
+لو كان الدوران هكذا، أقصرها ببساطة بقول الـtorque
+
+586
+00:40:25,400 --> 00:40:28,560
+تبع قوتي موجب، لأنه ضد عقل بالساعة، لكن لما أخبط
+
+587
+00:40:28,560 --> 00:40:32,340
+هكذا، يكون الـtorque تبع أيدي سالب، لأنه عملها مع
+
+588
+00:40:32,340 --> 00:40:35,790
+عقل بالساعة، وعشان الدين الحريةبيقول لي in the
+
+589
+00:40:35,790 --> 00:40:42,210
+direction of increasing θ حسب θ تبعتك إذا تضع
+
+590
+00:40:42,210 --> 00:40:45,370
+قارب الساعة اه موجبك موجب لكن إذا بدك تعكس ممكن
+
+591
+00:40:45,370 --> 00:40:50,070
+تعكس بعدين نحكي لهاit is negative if it tends to
+
+592
+00:40:50,070 --> 00:40:53,850
+rotate the body clockwise تمام بقول طبعا واضح ان
+
+593
+00:40:53,850 --> 00:40:57,530
+ال torque بما انه هادي بيسوي R cross ال F وقلنا
+
+594
+00:40:57,530 --> 00:41:00,890
+بنعرف انه هادي عمودي على هادي وعلى هادي وعمودي على
+
+595
+00:41:00,890 --> 00:41:03,990
+ال plane تبعتهم فبقول ال torque is perpendicular
+
+596
+00:41:03,990 --> 00:41:08,530
+to the plane containing R and F عشان هيك لو انا
+
+597
+00:41:08,530 --> 00:41:13,370
+عندي ال FوالـR في الـplane لازم الـtorque يكون
+
+598
+00:41:13,370 --> 00:41:16,710
+عمودي عليهم وبالتالي الـtorque .. إذا أنا دربت
+
+599
+00:41:16,710 --> 00:41:20,010
+باتجاه هيك والـR هيك معناته الـtorque بيكون باتجاه
+
+600
+00:41:20,010 --> 00:41:24,150
+الـZ تمام؟ أكون عمودي عليهم مش هنخش بالتفاصيل كتير
+
+601
+00:41:24,150 --> 00:41:25,450
+احنا في ال direction
+
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/tMZDhYVIKx0.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/tMZDhYVIKx0.srt
new file mode 100644
index 0000000000000000000000000000000000000000..353a80869bc61f0e1566e52e2769c3509dd02024
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/tMZDhYVIKx0.srt
@@ -0,0 +1,1865 @@
+1
+00:00:20,690 --> 00:00:23,090
+نقول بسم الله الرحمن الرحيم ونستكمل اليوم إن شاء
+
+2
+00:00:23,090 --> 00:00:26,870
+الله اليوم لازم نخلص ال chapter عشان نعرف الأسبوع
+
+3
+00:00:26,870 --> 00:00:29,830
+الجاى إن شاء الله نخلص المادة بإذنه تعالى
+
+4
+00:00:29,830 --> 00:00:36,370
+الشابترين ضايقين بس أسبوعين ضايقين أسبوع حد أولى
+
+5
+00:00:36,370 --> 00:00:42,390
+وراها إن شاء الله احنا قاعدين عشان نستغل الوقت
+
+6
+00:00:42,390 --> 00:00:47,330
+قاعدين احنا عمالنا بنجيب لكل قانون سابق قانوني
+
+7
+00:00:47,330 --> 00:00:52,810
+نظرة في الحركة الدورانية وصلنا .. آخر حاجة أخدناها
+
+8
+00:00:52,810 --> 00:00:56,490
+هي كاينة ال energy اللي كنا بنعرف أن كاينة ال
+
+9
+00:00:56,490 --> 00:01:02,730
+energy equal half mv2 الآن عرفنا أنها نص I ω2
+
+10
+00:01:02,730 --> 00:01:09,160
+تمام؟ وبالتالي ال work صار عبارة عن تكامل τاو دي
+
+11
+00:01:09,160 --> 00:01:15,560
+فيتا بدل FDX وبالتالي ال energy صار إلها قوانينها
+
+12
+00:01:15,560 --> 00:01:20,080
+المناظرة اللي موجودة من الأول بدل ال F حطينا ال
+
+13
+00:01:20,080 --> 00:01:24,320
+torque بدل ال mass حطينا I واشتغلنا على هذا الأساس
+
+14
+00:01:24,320 --> 00:01:30,110
+وكأنه بيقول لشابتر سبعة اللي أخدنا بإمكاني أنا
+
+15
+00:01:30,110 --> 00:01:33,570
+الآن أستخدمه كمان مرة شابتر سبعة كان يحكي عن
+
+16
+00:01:33,570 --> 00:01:38,110
+conservation of energy أنه delta E بتساوي W and C
+
+17
+00:01:38,110 --> 00:01:42,250
+إذا كنتم ذاكرين وإذا ما فيش non conservative
+
+18
+00:01:42,250 --> 00:01:47,690
+forces بيصير E initial و E final بيساووا بعض نشتغل
+
+19
+00:01:47,690 --> 00:01:55,180
+الآن سؤال على هذا المنوال انحل المثال التالي بيقول
+
+20
+00:01:55,180 --> 00:01:59,540
+consider two masses connected by a string والـ
+
+21
+00:01:59,540 --> 00:02:04,420
+string هذه اللي هو الخيط بيمشي over passing over a
+
+22
+00:02:04,420 --> 00:02:08,960
+pulley having a moment of inertia I كمان مرة ال pulley
+
+23
+00:02:08,960 --> 00:02:12,360
+عشان البكرة في الامتحان مش هنقولها ده والله السؤال
+
+24
+00:02:12,360 --> 00:02:16,880
+على شابتر الأربعة ولا شابتر عشرة ايش اللي بدنا نميز أن
+
+25
+00:02:16,880 --> 00:02:20,840
+هذه الـPulley البكرة بدي أخدها في عين الاعتبار أو
+
+26
+00:02:20,840 --> 00:02:24,160
+أخدهاش في عين الاعتبار إذا أعطاني أي معلومة عنها،
+
+27
+00:02:24,160 --> 00:02:26,840
+الـmass تبعتها، نسقطرها، الـmoment of inertia
+
+28
+00:02:26,840 --> 00:02:30,220
+تبعتها، معناته الحركة بدي أخدها في عين الاعتبار،
+
+29
+00:02:30,220 --> 00:02:33,640
+إما يكون مهملة، يقولي like pulley ومش مديني لكتلتها
+
+30
+00:02:33,640 --> 00:02:36,280
+ولا نسقطرها ولا حاجة، معناته احنا نحكي في شابتر
+
+31
+00:02:36,280 --> 00:02:40,130
+أربعة وإن الـPulley مالك يدعوها فيها هاي بيقول لي ال
+
+32
+00:02:40,130 --> 00:02:43,690
+pulley having a moment of inertia I about its axis
+
+33
+00:02:43,690 --> 00:02:47,090
+of rotation أيش هاد أيش هون أنا سؤال تقليدي كنتم
+
+34
+00:02:47,090 --> 00:02:51,230
+بتعرفوا السؤال اللي بقرا the string doesn't slip
+
+35
+00:02:51,230 --> 00:02:54,050
+on the pulley and the system is released from rest
+
+36
+00:02:54,050 --> 00:02:59,330
+بيقول لي الآن هذا الوضع هو ال initial position من
+
+37
+00:02:59,330 --> 00:03:04,260
+هنا أنا مسكهم مع بعض بدي أفلكم من السكون بدي أفلتهم
+
+38
+00:03:04,260 --> 00:03:08,520
+من السكون إذا الـinitial kinetic energy جدّيش؟
+
+39
+00:03:08,520 --> 00:03:13,860
+Zero للكل طبعًا تمام؟ find the linear velocity of
+
+40
+00:03:13,860 --> 00:03:18,600
+the masses after M2 descends through a distance H
+
+41
+00:03:18,600 --> 00:03:22,640
+بيقول لي لما هذه تنزل مسافة H هذه ايش بتكون طالعة؟
+
+42
+00:03:22,640 --> 00:03:28,580
+مسافة H وهذه ايش بتوصل إليها؟ جدّوها صح ولا لأ عند
+
+43
+00:03:28,580 --> 00:03:33,580
+هذه اللحظة بدي جيب لي ال linear velocities يعني V
+
+44
+00:03:33,580 --> 00:03:37,140
+عشان أميز بين linear و angular ال linear velocity
+
+45
+00:03:37,140 --> 00:03:41,800
+هي V ال angular velocity هي Omega تمام بده find
+
+46
+00:03:41,800 --> 00:03:44,920
+the linear velocity of the masses after M2
+
+47
+00:03:44,920 --> 00:03:48,000
+descends through a distance H and the angular
+
+48
+00:03:48,000 --> 00:03:50,780
+velocity of the body at that time وبدي Omega
+
+49
+00:03:51,490 --> 00:03:56,290
+واضح أيش المعروف طبعًا الآن من المقبول بيقول استخدم
+
+50
+00:03:56,290 --> 00:04:02,850
+ال energy أحسن لك لأن استخدام القانون F بيساوي MA
+
+51
+00:04:02,850 --> 00:04:07,650
+و Tau بيساوي I في Alpha بديك أيش سرعة مباشرة بيعطيك
+
+52
+00:04:07,650 --> 00:04:12,750
+acceleration بيعطيك الشد صح ولا لأ؟ طبعًا ممكن أجيب
+
+53
+00:04:12,750 --> 00:04:14,790
+ال acceleration وبعدين أفكر أن أجيب ال velocity
+
+54
+00:04:14,790 --> 00:04:20,100
+ممكن لكن بالطريقة على طول تلقائية ال energy بتدّين
+
+55
+00:04:20,100 --> 00:04:23,780
+ال kinetic energy بدلالة V و Omega ولا لا؟ لأن
+
+56
+00:04:23,780 --> 00:04:28,600
+ال kinetic energy هي فيها V وفيها Omega وبالتالي
+
+57
+00:04:28,600 --> 00:04:32,440
+أحسن ال energy بدل ما أطبق قانون نيوتن الثاني
+
+58
+00:04:32,440 --> 00:04:35,580
+بالحالتين طبعًا ممكن نحل بالطريقة هذه وممكن نحل
+
+59
+00:04:35,580 --> 00:04:38,660
+بالطريقة هذه خلينا نحل بالطريقة المطلوبة وبعدين
+
+60
+00:04:38,660 --> 00:04:41,820
+نفكر في ماذا لو أحله بالطريقة الثانية كيف أحله
+
+61
+00:04:41,820 --> 00:04:45,960
+تمام إذا أنا بدي أشتغل ما زال بده velocities
+
+62
+00:04:45,960 --> 00:04:48,920
+applying the conservation of mechanical energy
+
+63
+00:04:48,920 --> 00:04:53,000
+principle اللي هو E final يساوي E initial بيجي نفهم
+
+64
+00:04:53,000 --> 00:04:56,800
+احنا القائمة ال energy هي القائمة ال energy الكلية
+
+65
+00:04:56,800 --> 00:05:01,020
+صحيح ولا .. اه كم جسم عندي بيتحرك؟ ثلاثة عندي أم
+
+66
+00:05:01,020 --> 00:05:04,400
+واحد و أم اثنين وبكرة أم واحد و أم اثنين هي
+
+67
+00:05:04,400 --> 00:05:09,490
+قانونهم والبكرة هي قانونهم كانت الـ energy يعني ال
+
+68
+00:05:09,490 --> 00:05:14,930
+K هي K لـ M1 زي K لـ M2 زي K للبكرة صحيح ولا لأ؟
+
+69
+00:05:14,930 --> 00:05:18,730
+للبكرة .. البكرة بتدور وبالتالي أنسب قانونها هو
+
+70
+00:05:18,730 --> 00:05:23,850
+هذا الكتلتين M1 و M2 بدروش متحركوا حركة عادية تبعت
+
+71
+00:05:23,850 --> 00:05:29,270
+شابتر 6 و 7 و 4 وكلها وبالتالي نص Mv2 فايه؟ هجت
+
+72
+00:05:29,270 --> 00:05:33,120
+Initially مش جالي بدأت من السكون لما يكون الاثنين
+
+73
+00:05:33,120 --> 00:05:37,180
+واقفين البكرة بتكون بتتحرك؟ إذا كإينيشيا صفر زي
+
+74
+00:05:37,180 --> 00:05:43,800
+الصفر زي الصفر، الثلاثة أصفار. Finally نص M1 V2 زي
+
+75
+00:05:43,800 --> 00:05:49,140
+نص M2 V2 زي نص I Omega Square، صحيح ولا لأ؟ بقى
+
+76
+00:05:49,140 --> 00:05:53,240
+لعندي الـDelta U في البكرة، في البداية ولا في
+
+77
+00:05:53,240 --> 00:05:59,140
+النهاية؟ طلعت ولا نزلت؟ أنا على نفس المستوى يعني U
+
+78
+00:05:59,140 --> 00:06:02,220
+initial و U final بالنسبة إليها واحد وبالتالي
+
+79
+00:06:02,220 --> 00:06:06,440
+delta U للبكرة Zero بضل عندي نحكي نحكي على M واحد
+
+80
+00:06:06,440 --> 00:06:10,320
+و M اثنين زي ما كنا نعمل بشابتر أربعة بقول القانون
+
+81
+00:06:10,320 --> 00:06:13,380
+بده طبقه delta K زي ال delta U بتساوي صفر القانون
+
+82
+00:06:13,380 --> 00:06:18,740
+اللي عارفينه واللي جد إنه K إجهة كمان term K
+
+83
+00:06:18,740 --> 00:06:23,000
+initial هذه الصفر ها ثلاثة أصفار هذه صفر زي الصفر زي
+
+84
+00:06:23,000 --> 00:06:30,390
+الصفر تمام K final هيهم الثلاثة نص M1 V2 زي نص M2
+
+85
+00:06:30,390 --> 00:06:36,110
+V2 زي نص Iω2 هذي لـ M1 وهذي لـ M2 وهذي لـ
+
+86
+00:06:36,110 --> 00:06:43,490
+البكرة ثم هجيب وأظهر على أي U بدي أقول Delta U U1
+
+87
+00:06:43,490 --> 00:06:49,190
+زي U2 و U3 مالهاش لأنها لم تتغير ولا نزلت يعني حتى
+
+88
+00:06:49,190 --> 00:06:51,650
+لو بدي أقول زي Delta U3 في الآخر بدي أعوض محل
+
+89
+00:06:51,650 --> 00:06:57,920
+Delta U3 واضح؟ تمام؟ الآن بدي أخد level عشان أجيب
+
+90
+00:06:57,920 --> 00:07:00,880
+delta u1 و delta u2 وكيف بتاخدوا ال level اللي
+
+91
+00:07:00,880 --> 00:07:03,020
+خدوه فارتكبوا مني اللي أنا عامله وخليني أعمل ما
+
+92
+00:07:03,020 --> 00:07:07,000
+أنا عامله تمام؟ وممكن أعمل لكل كتلة level خاص
+
+93
+00:07:07,000 --> 00:07:13,020
+بيها خليني أقول هذا level
+
+94
+00:07:15,460 --> 00:07:21,440
+هذا initial معناته U initial هذه صفر U final M
+
+95
+00:07:21,440 --> 00:07:29,720
+واحد GH إذا دلتا U واحد بسوء M واحد GH تمام هي نجي
+
+96
+00:07:29,720 --> 00:07:36,440
+لهذه هاي اللي بيه M final بتساوي صفر هاي المرحلة
+
+97
+00:07:36,440 --> 00:07:41,820
+كنت بأخدها هذا finally مش هنا .. كانت هنا مصدرها هنا
+
+98
+00:07:41,820 --> 00:07:48,340
+M initial بيساوي MGH إذا Delta U اثنين بيساوي ناقص
+
+99
+00:07:48,340 --> 00:07:55,160
+MGH اثنين إذا Delta U اجمع حد زي ايه ده فـ M واحد
+
+100
+00:07:55,160 --> 00:08:01,420
+ناقص M2GH طبعًا احكوا ليش هتقولي ليه؟ ده اللي تقولي
+
+101
+00:08:01,420 --> 00:08:05,660
+ليش لما هو لليه اللي بكرة تقوليش لحد أنا أي حد
+
+102
+00:08:05,660 --> 00:08:08,620
+اللي عندها ليش اللي عملته؟ واحدة بتجلب ال level
+
+103
+00:08:08,620 --> 00:08:14,730
+تجلبوا انتم ما بدك تعمل ايه؟ هاتفه تمام؟ تفرقش معاكم في
+
+104
+00:08:14,730 --> 00:08:20,690
+الإجابات فلأقل تفرقش لأن ال level اختياري فصارت
+
+105
+00:08:20,690 --> 00:08:28,250
+M1GH زائد ناقص M2GH فـ M1GH ناقص M2GH هي الصفة ع
+
+106
+00:08:28,250 --> 00:08:31,470
+الدلتا U نفس الكون اللي اعرفه شبه الشابتر سبعة كيف كنا
+
+107
+00:08:31,470 --> 00:08:35,190
+نجيب U بس أنا أديتك لكل واحد لحاله اسهل بعدين
+
+108
+00:08:35,190 --> 00:08:40,970
+أخديه بالمشتركة شو لا مش عشان هو نازل؟ عشان احنا
+
+109
+00:08:40,970 --> 00:08:47,130
+أخذنا تسابق .. شو السالب؟ هجيتي واحد بيقولك خمسة
+
+110
+00:08:47,130 --> 00:08:53,690
+ناقص عشرة جد ايش؟ احنا بيقولوا ليش؟ ما أنا طلعت أنا
+
+111
+00:08:53,690 --> 00:08:57,250
+قلت هذا ناقص هذا هذا ناقص هذا مش final ناقص
+
+112
+00:08:57,250 --> 00:09:01,590
+initial؟ مش that you؟ مظبوط ولا لا؟ صفر ناقص أي
+
+113
+00:09:01,590 --> 00:09:04,750
+حاجة فطلع له يجيب علينا سالب؟ سالب يا عم يقعد يقول
+
+114
+00:09:04,750 --> 00:09:07,150
+ليش طلع سالب؟
+
+115
+00:09:10,340 --> 00:09:13,160
+انت ليش أخدت ال level في المصدر؟ ايه بدك تاخد ال
+
+116
+00:09:13,160 --> 00:09:17,440
+level اللي بدك اياها؟ ليش أخدته في المصدر يعني؟ لأ ما
+
+117
+00:09:17,440 --> 00:09:21,360
+هو عندك سلطة رفماس في المصدر، بدك اياها من هنا يعني؟
+
+118
+00:09:21,360 --> 00:09:26,000
+لأ ما هو ال M هنا في الآخرة في ال M، تمام؟ ما تفرقش
+
+119
+00:09:26,000 --> 00:09:29,140
+هذه، ايه اللي ما بدي أخده دي؟ برضه ما تفرقش كثير،
+
+120
+00:09:29,140 --> 00:09:29,780
+ISF صراحة
+
+121
+00:09:32,690 --> 00:09:38,210
+تمام؟ فطلعت أنا delta K جاهزة K final نقص K initial
+
+122
+00:09:38,210 --> 00:09:42,410
+و K delta U جاهزة .. حط القانون وطلع الجواب ..
+
+123
+00:09:42,410 --> 00:09:47,910
+احكي من فإيش .. تحكوش مع بعض .. أو تحكوش مع حالكم
+
+124
+00:09:47,910 --> 00:09:55,950
+.. احكوا بسرعة عالية .. تمام؟ فلأ .. هيطلع عندي
+
+125
+00:09:55,950 --> 00:09:58,650
+لما يجي احط المعادلة .. معادلة واحدة هي .. في
+
+126
+00:09:58,650 --> 00:10:03,190
+غيرها؟ ما فيش لها المعادلة في الآخر هلاقي V و Omega
+
+127
+00:10:03,190 --> 00:10:06,350
+مجهولين قال لي اه ما هو هدول بينهم علاقة ولا
+
+128
+00:10:06,350 --> 00:10:09,510
+بيقولوا لا بينهم علاقة اللي هي بتقول إن V بيساوي
+
+129
+00:10:09,510 --> 00:10:14,770
+Omega في R فالتالي هيطلع عندك مجهول واحد جيب V
+
+130
+00:10:14,770 --> 00:10:17,510
+منها بتجيب Omega أو جيب Omega منها بتجيب V في
+
+131
+00:10:17,510 --> 00:10:22,560
+الآخر فقال لي صارت عندك المعادلة هذه Delta K زي
+
+132
+00:10:22,560 --> 00:10:26,440
+Delta U بتساوي صفر تمام؟ و ال Omega اللي أنتم
+
+133
+00:10:26,440 --> 00:10:30,440
+عارفينها راحت، في Omega ضال؟ ايه حطيت محلها؟ V على
+
+134
+00:10:30,440 --> 00:10:36,700
+R V على R أكمل شهور في معادلة؟ ما فيش غير ال V
+
+135
+00:10:36,700 --> 00:10:40,960
+ما فيش غير ال V، بجيبها من هنا ولا لأ؟ وإذا جيبت
+
+136
+00:10:40,960 --> 00:10:46,780
+V، بقدر أجيب Omega؟ اه وهيها ال I ده ما هي؟ ده
+
+137
+00:10:46,780 --> 00:10:52,490
+هيك ال I، شايفها؟ هذه نص I على R تربيع ما تعطيش
+
+138
+00:10:52,490 --> 00:10:58,790
+ماعجعش فرق لها دي الله زي ما هي تمع من هنا لأ هذي
+
+139
+00:10:58,790 --> 00:11:01,730
+I والله كدت ال I كمان كيف لو كدت منها small i كمان
+
+140
+00:11:01,730 --> 00:11:06,490
+يانت من المرة فمن هنا V square طلعتها وطلعت V
+
+141
+00:11:06,490 --> 00:11:12,350
+ومنها بطلع Omega ايه الصفصة؟ طبعًا أنا لو بدي هذه
+
+142
+00:11:12,350 --> 00:11:18,750
+أحلها بطريقة ثانية okay هذه سهلة فلنرجع هنا وبدي
+
+143
+00:11:18,750 --> 00:11:27,170
+ارسم في body diagram لهادي طبعًا هنا ايش في M1G و
+
+144
+00:11:27,170 --> 00:11:37,230
+هنا T1 هنا T2 وهنا M2G والبكرة فيها T1 و T2 و
+
+145
+00:11:37,230 --> 00:11:42,770
+وزرها وقوة المصمار عليها بيعملوش torque صح ولا
+
+146
+00:11:42,770 --> 00:11:49,430
+لأ؟ لو اجيت أنا على هذه هذه بتطلع، صحيح ولا لأ؟
+
+147
+00:11:49,430 --> 00:11:57,990
+ما زالت بتطلع، بقول T1 ناقص M1G بتساوي M1A، صحيح؟
+
+148
+00:11:57,990 --> 00:12:05,750
+نجدها الثانية، بتنزل M2G، ناقص T2 بيساوي M2A البكرة
+
+149
+00:12:05,750 --> 00:12:11,750
+كده بتلف، مع عقارب الساعة، مع عقارب الساعة طيب،
+
+150
+00:12:11,750 --> 00:12:15,690
+مين تركه أرمو جب؟ اللي مع عقرب الساعة T1 ولا
+
+151
+00:12:15,690 --> 00:12:19,230
+T2؟ T2 مع عقرب الساعة T1 مع عقرب
+
+152
+00:12:19,230 --> 00:12:21,770
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+153
+00:12:21,770 --> 00:12:23,490
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+154
+00:12:23,490 --> 00:12:24,610
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+155
+00:12:24,610 --> 00:12:26,610
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+156
+00:12:26,610 --> 00:12:28,470
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+157
+00:12:28,470 --> 00:12:30,630
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+158
+00:12:30,630 --> 00:12:35,390
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+159
+00:12:35,390 --> 00:12:38,910
+الساعة T1 مع عقرب الساعة T1 مع عقرب
+
+160
+00:12:38,910 --> 00:12:43,970
+الساعة T وامشي لكل فعل ضد فعل مساوٍ له في المقدار
+
+161
+00:12:43,970 --> 00:12:47,310
+ومضاد له في الاتجاه فـ T اللي على الكتلة غير عن T
+
+162
+00:12:47,310 --> 00:12:51,330
+اللي على البكرة الـ Newton الثانية صحيح ولا لأ؟
+
+163
+00:12:51,330 --> 00:12:59,150
+الآن صبحت معك هجيتي و T2 فبيصير T2 نقص T1 بالذراع
+
+164
+00:12:59,150 --> 00:13:06,030
+بيساوي I في ألفا صحيح؟ تمام من هدول الثلاثة معادلات
+
+165
+00:13:06,030 --> 00:13:11,650
+علما بأن A بتساوي Alpha على R صحيح؟ بجيب A وبقدر
+
+166
+00:13:11,650 --> 00:13:15,390
+أجيبها ولا لأ؟ وبقدر أجيب T1 وبقدر أجيب T2 لو
+
+167
+00:13:15,390 --> 00:13:21,110
+جيبت A بقدر أجيب Omega بعد كده بطبق القانون V²
+
+168
+00:13:21,110 --> 00:13:25,850
+Equal V Not Square ذات 2EY التي هي H بطبق V اللي
+
+169
+00:13:25,850 --> 00:13:29,210
+بدوا إياها هذه الطريقة الثانية لأن ال acceleration
+
+170
+00:13:29,210 --> 00:13:34,900
+عرفتها تمام؟ وبدأ منها سيكو هذه zero فهذه بتطلع
+
+171
+00:13:34,900 --> 00:13:39,280
+نفس القضية طبعًا لو بده الشد قصب العين بدي أخد
+
+172
+00:13:39,280 --> 00:13:43,560
+ال
+
+216
+00:17:17,550 --> 00:17:22,550
+ايش بيسوي؟ بنزل البقرة لأسفل إذا اتجاهه لأسفل
+
+217
+00:17:22,550 --> 00:17:26,690
+نرجع لسؤالك أنت ليش يقولون تي واحد نقص تيتنين؟ ليش
+
+218
+00:17:26,690 --> 00:17:30,890
+بديك يوم تي واحد زي تيتنين؟ اه مش نفسي ايه؟ احنا
+
+219
+00:17:30,890 --> 00:17:36,450
+بنعمل قوة ولا عزيمة؟ عزيمة؟ اه مع غرب الساعة خلصنا؟
+
+220
+00:17:36,450 --> 00:17:42,350
+طيب الحمد لله غيرهم؟ قمحي؟ مش هرجع كمان مرة أرسله
+
+221
+00:17:42,350 --> 00:17:48,350
+اللي عنده سؤال يسأل قبل ما نمحيه حاضر، هاي هنا
+
+222
+00:17:48,350 --> 00:17:57,190
+كمان مرضى محيل احنا
+
+223
+00:17:57,190 --> 00:18:02,590
+أوقفنا عند الـ energy أوقفنا عند الـ energy بدينا ب
+
+224
+00:18:02,590 --> 00:18:08,350
+chapter 2 الحركة وخشينا على chapter 4 الـ force و
+
+225
+00:18:08,350 --> 00:18:12,030
+بعدين روحنا على .. طبعا الـ 4 و 5 ما هم force 6 و 7
+
+226
+00:18:12,030 --> 00:18:16,870
+اللي بحكي عن الـ energy 8 و 9 كان يحكي عن الـ
+
+227
+00:18:16,870 --> 00:18:20,970
+momentum صح ولا لأ؟ و الـ momentum .. و الـ momentum
+
+228
+00:18:20,970 --> 00:18:26,550
+is conserved أذكركم في chapter 8 و 9 أيش كنا
+
+229
+00:18:26,550 --> 00:18:31,470
+نتحدث؟ كنا عرفنا في chapter 8 حاجة بيسموها الـ peak
+
+230
+00:18:33,060 --> 00:18:37,700
+بساوي N في V، ذاكرينها؟ وفي الآخر قلنا نفسر تمكتب
+
+231
+00:18:37,700 --> 00:18:43,260
+دلالة DB على DT وقلنا لو هذه Zero وهذه is
+
+232
+00:18:43,260 --> 00:18:48,000
+conserved واشتغلنا على كل شيء إلاستيكو وإلاستيكو
+
+233
+00:18:48,000 --> 00:18:52,660
+كله من هذا المبدأ أن الـ momentum is conserved بشرط
+
+234
+00:18:52,660 --> 00:18:58,680
+أن الـ force تكون Zero الآن بدي أديك كميات اتناظر
+
+235
+00:18:58,680 --> 00:19:05,140
+P و اتناظر عارفين هاذي؟ بدي أشوف إيش اللي بيناظر P
+
+236
+00:19:05,140 --> 00:19:10,320
+ايش اللي بيناظر P بي linear momentum إذا معناته في
+
+237
+00:19:10,320 --> 00:19:13,440
+حاجة اسمها angular momentum تمام؟ الـ angular
+
+238
+00:19:13,440 --> 00:19:16,000
+momentum ايش علاقتها بالـ linear momentum هاي اللي
+
+239
+00:19:16,000 --> 00:19:22,770
+بدي نشرحه و بدي نجيب قانون يعني مفروض هذه لو صارت I
+
+240
+00:19:22,770 --> 00:19:27,710
+وهذه صارت Omega المفروض تكون كمية تشبه هذه نيجي
+
+241
+00:19:27,710 --> 00:19:30,530
+نبطلع احنا في المرحلة دي اشكال حكينا ان والله لو
+
+242
+00:19:30,530 --> 00:19:34,610
+الوحدة هدول تنكين مع بعض طلعوا نفس هذه بنقول بيها
+
+243
+00:19:34,610 --> 00:19:37,790
+زمهية زي الـ kinetic energy ذاكرين؟ لجيناها نفس
+
+244
+00:19:37,790 --> 00:19:43,910
+العملية قولنا خليها زمهية هذه kilogram في متر
+
+245
+00:19:43,910 --> 00:19:48,070
+تربية صحيح ولا لأ؟ وهذه على second
+
+246
+00:19:51,010 --> 00:19:56,090
+كيلو جرام متر تربيع لأن I بيساوي كتلة في مربع
+
+247
+00:19:56,090 --> 00:20:00,270
+مسافة R تربيع في الـ DM فهذه كيلو جرام متر تربيع ع
+
+248
+00:20:00,270 --> 00:20:05,530
+سكن هذه وحدتها كيلو جرام متر ع سكن إذا في مشكلة في
+
+249
+00:20:05,530 --> 00:20:08,670
+متر تربيع إذا مفهوش أخد هنا P لازم تكون في كمية
+
+250
+00:20:08,670 --> 00:20:14,450
+جيدة اقناطر الـ P تمام الهدف يسموها الـ angular
+
+251
+00:20:14,450 --> 00:20:15,110
+momentum
+
+252
+00:20:19,770 --> 00:20:25,290
+capital L احنا اخذناها بصورة غير مباشرة في الكيميا
+
+253
+00:20:25,290 --> 00:20:33,110
+لما قلنا اي مضار مضارات الكيميا ايش اللي بيحددها N
+
+254
+00:20:33,110 --> 00:20:41,250
+و L و M صح؟ L بتجرب لـ capital L هذه تمام؟ منها طبعا
+
+255
+00:20:41,250 --> 00:20:44,050
+احنا بيقول ايه جاب ده جاب؟ بقول له هذه حركة
+
+256
+00:20:44,050 --> 00:20:48,450
+دورانية هو الالكترون كيف يتحرك حول النورة؟ حركة
+
+257
+00:20:48,450 --> 00:20:51,590
+دورانية، حركة دورانية، حركة دورانية، حركة دورانية،
+
+258
+00:20:51,590 --> 00:20:51,630
+حركة دورانية، حركة دورانية، حركة دورانية، حركة
+
+259
+00:20:51,630 --> 00:20:54,010
+دورانية، حركة دورانية، حركة دورانية، حركة دورانية،
+
+260
+00:20:54,010 --> 00:21:08,990
+حركة دورانية، حركة دورانية، حركة دورانية، حركة
+
+261
+00:21:09,560 --> 00:21:14,920
+بيقول لي L بتساوي R cross الـ B هاي التعريف زي عشان
+
+262
+00:21:14,920 --> 00:21:20,640
+ما تنسوش كتير الـ torque بيساوي R cross الـ F صح؟ الـ
+
+263
+00:21:20,640 --> 00:21:23,480
+torque قبل الآخر بيقولنا F في الظراع فهو أصل
+
+264
+00:21:23,480 --> 00:21:28,760
+القانون R cross الـ F هذه F هاي مناظرها و الفرق R
+
+265
+00:21:28,760 --> 00:21:33,400
+هنا الـ B هاي مناظرها R cross الـ B طيب و الـ B
+
+266
+00:21:33,400 --> 00:21:37,910
+بيساوي N في D بنعرفها ولا لأ؟ لأ بنعرفها تمام والـR
+
+267
+00:21:37,910 --> 00:21:40,350
+is the position vector of the particle relative to
+
+268
+00:21:40,350 --> 00:21:43,030
+A، زي ما عرفناها في الـTorque، the angular
+
+269
+00:21:43,030 --> 00:21:45,850
+momentum is a vector quantity، أمين، لأنه في cross
+
+270
+00:21:45,850 --> 00:21:49,270
+product، و الـ cross product ناتج دائما vector،
+
+271
+00:21:49,270 --> 00:21:52,750
+لأنه سميناه vector product عشان هيك، تمام، كيف؟
+
+272
+00:21:52,750 --> 00:21:57,770
+اتجاهه، بقول عمودي على الـR و عمودي على الـV هي الـ
+
+273
+00:21:57,770 --> 00:22:00,690
+cross product with a direction perpendicular to
+
+274
+00:22:00,690 --> 00:22:04,630
+the plane formed by R and V ومازال عمودي ع اتنين
+
+275
+00:22:04,630 --> 00:22:08,210
+معناته بالدقيقة هذه عشان احدد الـ sense وبالتالي
+
+276
+00:22:08,210 --> 00:22:13,150
+مقدر أقوى أحط هذه على الـ R لف حسب الـ V بتطلع عندها
+
+277
+00:22:13,150 --> 00:22:16,630
+اتجاه الـ L and its sense is determined by the
+
+278
+00:22:16,630 --> 00:22:19,590
+right hand rule discussed in chapter 1 تبع الـ
+
+279
+00:22:19,590 --> 00:22:22,450
+cross product اذا ذاكرينهم كنا نحط أصابعنا الأربع
+
+280
+00:22:22,450 --> 00:22:27,810
+على A اللي لف باتجاه B إبهامنا يدينا C هدف شبطر
+
+281
+00:22:27,810 --> 00:22:30,850
+واحد اخذناها مش واحد من الـ direction تجلي طب الشيء
+
+282
+00:22:30,850 --> 00:22:35,630
+وحدتها بقول وحدتها هادي في هادي هادي كيلو جرام متر
+
+283
+00:22:35,630 --> 00:22:39,950
+عسكت و هنا في متر كيلو جرام متر تربيع عسكت تمام
+
+284
+00:22:39,950 --> 00:22:47,070
+طيب جلي خلينا نشوف إيش هادي بتجيبلي أرجع لجسم دوار
+
+285
+00:22:47,070 --> 00:22:51,770
+جسم دوار disk هواية بس هواية ليست فيها فراغات
+
+286
+00:22:51,770 --> 00:22:59,320
+بتدور طحونة اللي بدكم هيبدي أجيباللي تبعتها؟ قال
+
+287
+00:22:59,320 --> 00:23:02,280
+لحظة .. هي كان particle .. بقول له اختار .. بتاخد
+
+288
+00:23:02,280 --> 00:23:05,760
+particle واحد .. اللي هو هذا .. شايفين النقطة هذه؟
+
+289
+00:23:05,760 --> 00:23:09,200
+هذه M I .. هذا بدور .. بعمل دوية .. ده احنا عارفين
+
+290
+00:23:09,200 --> 00:23:14,740
+.. بتجيب الـ جسم هذا .. بقوله بتساوي R I .. R تبعت
+
+291
+00:23:14,740 --> 00:23:18,680
+هذا الجسم .. في كتلته .. في سرعته .. صحيح ولا لأ؟
+
+292
+00:23:18,680 --> 00:23:22,600
+فبقول .. the magnitude of the angular momentum of
+
+293
+00:23:22,600 --> 00:23:26,180
+the particle M I .. أي particle جوا الـ disk ..
+
+294
+00:23:26,180 --> 00:23:33,300
+بتساوي ..الـ M I V I R I R I M I V I طب جالي وين
+
+295
+00:23:33,300 --> 00:23:36,560
+راحت الـ cross product؟ بقولهم هي R عمودية على الـ
+
+296
+00:23:36,560 --> 00:23:41,640
+V وبالتالي cross product بعد صين وصين التسعين واحد
+
+297
+00:23:41,640 --> 00:23:45,180
+فراحت طبعا نص القطر و مماس السرعة مماسية كنا بنعرف
+
+298
+00:23:45,180 --> 00:23:48,760
+ونص القطر ومماس وفي حد ماعرفش أن الزاوية بين نص
+
+299
+00:23:48,760 --> 00:23:53,520
+القطر والمماس تسعين درجة كنا بنعرفها طبعا قال لي
+
+300
+00:23:53,520 --> 00:23:55,560
+حلو قال لي هل جيت هذا الجسم
+
+301
+00:23:58,130 --> 00:24:01,890
+سرعته VI .. طب لو هات يسمي .. أنا حطيته هان .. نفس
+
+302
+00:24:01,890 --> 00:24:07,370
+السرعة دي .. و تضيعما هو الثابت بينهم؟ Omega إذا
+
+303
+00:24:07,370 --> 00:24:10,870
+قال لي هذي الـVi حولها لـOmega و أقول له في علاقة
+
+304
+00:24:10,870 --> 00:24:17,570
+V بتساوي R في Omega طيب فبعد الـVi حطيت Omega في R
+
+305
+00:24:17,570 --> 00:24:22,010
+و كي ما و R فأرسلها هجيت بدي أجيب أقل كل الـ disk
+
+306
+00:24:22,010 --> 00:24:25,990
+بدي أجمع ولا لا الثابت ماطلعه برا ايش بتثابت؟ اللي
+
+307
+00:24:25,990 --> 00:24:33,790
+هو Omega تمام قال لي إل مجموع الإلات بتساوي Omega
+
+308
+00:24:33,790 --> 00:24:40,610
+طالحة برا قالش إيه هذا؟ أعطونيها، هي قال مش هي قال
+
+309
+00:24:40,610 --> 00:24:48,410
+إذا L بتساوي I في Omega L بيساوي I في Omega إذا أن
+
+310
+00:24:48,410 --> 00:24:52,890
+الـ Angular Momentum لو تيجي تحطها وتربطها مع الـ
+
+311
+00:24:52,890 --> 00:24:57,410
+Linear Momentum بقول بي بيساوي I في V بي بيساوي I في
+
+312
+00:24:57,410 --> 00:25:02,630
+V إذا على طول المناظر للـ L إلى الـ I بـ B هي الـ
+
+313
+00:25:02,630 --> 00:25:07,410
+L بيساوي I إذا
+
+314
+00:25:07,410 --> 00:25:12,300
+هذه كمان قانوني جديدة الـ momentum بدل ما هي كتلة
+
+315
+00:25:12,300 --> 00:25:19,620
+في سرعة الـ L بيساوي I في Omega تم جالي حلو Which is
+
+316
+00:25:19,620 --> 00:25:21,780
+the rotational analog of the linear momentum هذي
+
+317
+00:25:21,780 --> 00:25:25,700
+بتعادل هذه المعادلة عشان ضلها المعادلات مصفّطة و
+
+318
+00:25:25,700 --> 00:25:28,580
+قعدنا خلّصنا كل المعادلات قال ليه ايش ضايل عندك؟
+
+319
+00:25:28,580 --> 00:25:33,400
+Conservation of angular momentum احنا في شبكتر 9
+
+320
+00:25:33,400 --> 00:25:36,820
+كل شغلنا عن conservation of linear momentum اللي
+
+321
+00:25:36,820 --> 00:25:40,520
+هي الـ P initial بيساوي P final و ان الـ momentum
+
+322
+00:25:40,520 --> 00:25:42,960
+قبل التصادم بيساوي الـ momentum بعد التصادم، مظبوط
+
+323
+00:25:42,960 --> 00:25:45,600
+ولا لأ؟ يعني الـ momentum is conserved، ايش كان
+
+324
+00:25:45,600 --> 00:25:50,820
+شرطها؟ إن الفرصة تكون Zero وقلنا قوة اتصادهم هي قوة
+
+325
+00:25:50,820 --> 00:25:54,280
+داخلية وبالتالي ما زال مافيش قوة كارجية إذا الـ
+
+326
+00:25:54,280 --> 00:25:58,540
+momentum must be conserved جالي خلينا نشوف كلكم الـ
+
+327
+00:25:58,540 --> 00:26:02,220
+conservation of angular momentum ايش شرطها لازم
+
+328
+00:26:02,220 --> 00:26:08,210
+يكون؟ بجل القوة، قوة وإن المنظر ده القوة؟ التي هي
+
+329
+00:26:08,210 --> 00:26:11,350
+الـ Torque يعني لو كان الـ Torque بساوة Zero
+
+330
+00:26:11,350 --> 00:26:15,150
+المفروض إذا مصفّطة كل الشغلات صح إنها تكون الـ
+
+331
+00:26:15,150 --> 00:26:19,250
+angular momentum is conserved أيامها من وين جيبتوا
+
+332
+00:26:19,250 --> 00:26:21,670
+هذا الكلام الـ conservation of momentum؟ من هذه
+
+333
+00:26:21,670 --> 00:26:22,830
+الأوراق شايفينها هذه؟
+
+334
+00:26:26,370 --> 00:26:29,510
+لو الـ F بالساوية صفر، معناته P is constant ولا
+
+335
+00:26:29,510 --> 00:26:33,450
+لأ؟ من هنا جبتها، إذا أنا أول بدي أشتغل قانون
+
+336
+00:26:33,450 --> 00:26:37,050
+بيناظر هذا القانون اللي بيناظره المفروض، ايش
+
+337
+00:26:37,050 --> 00:26:41,090
+بيناظر ايه الـ F يا بناة؟ D على DT، ايش اللي
+
+338
+00:26:41,090 --> 00:26:45,890
+بيناظر P؟ والله يظن عندك هذه المعادلة خلاص بتكون
+
+339
+00:26:45,890 --> 00:26:48,470
+الـ angular momentum is conserved إذا الـ torque كله
+
+340
+00:26:48,470 --> 00:26:51,590
+بيساوي zero فالأن بدي أشتق هذا القانون من
+
+341
+00:26:51,590 --> 00:26:54,730
+المعلومات اللي احنا بنعملها بيقول it is known that
+
+342
+00:26:54,730 --> 00:26:59,750
+tau بتساوي R cross الـ F أمين اخذته كيف أجيب العزل؟
+
+343
+00:26:59,750 --> 00:27:03,510
+عبارة عن R cross الـ F قالت طيب الـ F بتساوي DB على
+
+344
+00:27:03,510 --> 00:27:09,280
+DT سمعتش؟ سمعنا فيه قال لي إذا معناته الـ tau بتساوي
+
+345
+00:27:09,280 --> 00:27:13,860
+R cross DB على DT أمين في مشكلة حتى الآن؟ مافي
+
+346
+00:27:13,860 --> 00:27:18,120
+مشكلة قال لي الآن بتعرف تجيب تضرب حاصل ضرب ..
+
+347
+00:27:18,120 --> 00:27:22,080
+خليني أعملها
+
+348
+00:27:22,080 --> 00:27:32,080
+هلجيت D R cross B على DT تفاضل حاصل الضرب اخذتو؟
+
+349
+00:27:33,210 --> 00:27:45,070
+تفاضل الأول في الثاني تفاضل الأول في الثاني تفاضل
+
+350
+00:27:45,070 --> 00:27:51,010
+الأول في الثاني تفاضل الأول في الثاني تفاضل الأول
+
+351
+00:27:51,010 --> 00:27:57,410
+في الثاني تفاضل الأول في الثاني تفاضل الأول في
+
+352
+00:27:57,410 --> 00:27:58,770
+الثاني
+
+353
+00:28:01,630 --> 00:28:05,530
+صوت عالي بالصينوية، ذاكرها الصينوية، تمام شوفوا
+
+354
+00:28:05,530 --> 00:28:13,130
+هذه هي هذه، خلّيني أشوف هذه ماهي هذه؟ Vr كرسي
+
+355
+00:28:13,130 --> 00:28:20,470
+الـDT، Vr على DT، ماهذا؟ السرعة، يعني هذه V، طب
+
+356
+00:28:20,470 --> 00:28:25,730
+وهذه الشيء؟ من
+
+357
+00:28:25,730 --> 00:28:32,760
+يقول لي A كرسي الـA جديش؟ A X A هو سفير V X V إذا
+
+358
+00:28:32,760 --> 00:28:40,720
+هذي الله سهل عليها هذي A X A V X B V X V إذا بجيهم
+
+359
+00:28:40,720 --> 00:28:47,160
+هذي بحط محلها هذي ولا لأ هذي الشيية R X B ماهي L
+
+360
+00:28:47,160 --> 00:28:55,080
+ماهي R X B الشيية ماهي L إذا بدل هذي بده أحط هذي
+
+361
+00:28:55,080 --> 00:28:59,780
+الجدل لأنها نفسها صحيح أم لا؟ وهذه الـR cross الـL
+
+362
+00:28:59,780 --> 00:29:05,540
+هي L إذا صارت الـTau بسوء DL على DT طيب أجيب خط
+
+363
+00:29:05,540 --> 00:29:14,280
+العسش ودي بالخط الحلو تمام فصار عندي but D على DT
+
+364
+00:29:14,280 --> 00:29:18,480
+R cross الـB توا عملته تفاضل الأول في الثاني زائد
+
+365
+00:29:18,480 --> 00:29:22,040
+الأول في تفاضل الثاني وقال لي هذه الله سحل عليها
+
+366
+00:29:22,040 --> 00:29:28,640
+عشان D cross الـB تمام إذا ما زالت إلا هذه إذا
+
+367
+00:29:28,640 --> 00:29:33,860
+معناته الـ torque هذا اللي هو هذا حطيته محله هذا
+
+368
+00:29:33,860 --> 00:29:38,400
+تمام جالي الـC هذه جالي الـL هذه الـL إذا الـTau
+
+369
+00:29:38,400 --> 00:29:45,240
+بتسوي DL على DT إذا هي كمان قانون هذا جبتلي ناظره
+
+370
+00:29:45,240 --> 00:29:53,940
+و أثبتلي ناظره تمام وهو النظير الدوراني للقانون F
+
+371
+00:29:53,940 --> 00:29:59,160
+بصوة DB على DT الان من هذا القانون بقدر اقول from
+
+372
+00:29:59,160 --> 00:30:03,800
+the last equation if the external torque acting on
+
+373
+00:30:03,800 --> 00:30:09,660
+a system is zero فش torque كله zero جماعته then L
+
+374
+00:30:09,660 --> 00:30:13,320
+is constant ولمّا تكون L is constant يعني الـ
+
+375
+00:30:13,320 --> 00:30:16,120
+initial بيساوي الـ final ولا لأ إذا الـ initial
+
+376
+00:30:16,120 --> 00:30:19,920
+بيساوي الـ final L is conserved يعني الـ initial
+
+377
+00:30:19,920 --> 00:30:24,640
+بيساوي الـ final طيب و الـ L التوش فاهمتها مش هي I في
+
+378
+00:30:24,640 --> 00:30:28,320
+Omega إذا I initial في Omega initial بيساوي I final
+
+379
+00:30:28,320 --> 00:30:34,660
+في Omega final زي اقتصاده زي M1V1 initial Z لما
+
+380
+00:30:34,660 --> 00:30:41,300
+يكون أكثر من جسم فهي كمان قانون هيك خلصنا حقيقة
+
+381
+00:30:41,300 --> 00:30:45,650
+وصلنا شبطة تسعة chapter 9 كان conservation of momentum
+
+382
+00:30:45,650 --> 00:30:49,630
+وهنا وصلنا لهذا الـ chapter 10 وبعدين من chapter 2 وصلنا
+
+383
+00:30:49,630 --> 00:30:54,550
+لـ chapter 9 واحنا بالراجع تمه .. خلصنا وبالتالي ما زال
+
+384
+00:30:54,550 --> 00:30:58,290
+وصلنا لـ chapter 9 وخلصنا لـ chapter 10 ايش بينا نرجع بعدين؟
+
+385
+00:30:58,290 --> 00:31:04,710
+تمه .. نحن نسافر بيقولي two discs عندك دسكين one of
+
+3
+
+431
+00:34:21,750 --> 00:34:26,890
+بيقول لي a turntable rotates in a horizontal plane
+
+432
+00:34:26,890 --> 00:34:31,630
+about a fixed vertical axis خلاص طاولة بتدور حلو
+
+433
+00:34:31,630 --> 00:34:36,570
+making one revolution in 15 seconds هذه كل 15
+
+434
+00:34:36,570 --> 00:34:40,250
+ثانية بتعمل دورة بقدر أجيب أوميجا تبعتها ولا لأ اه
+
+435
+00:34:40,250 --> 00:34:46,710
+تمام لأنه انعرف زمن الدوري 15 second هذا الزمن
+
+436
+00:34:46,710 --> 00:34:49,870
+الدوري زمن الدورة الواحدة بيعمل دورة كل 15 ثانية
+
+437
+00:34:49,870 --> 00:34:53,070
+يعني ساكن إذا جبت الزمن الدوري مقدر يجيب ال
+
+438
+00:34:53,070 --> 00:34:57,210
+frequency صح؟ وإذا جبت ال frequency وضربته في اثنين
+
+439
+00:34:57,210 --> 00:35:00,630
+by اثنين omega يعني احنا ال frequency إيش قانونه
+
+440
+00:35:00,630 --> 00:35:04,610
+اللي خدنا F ولا Nu احنا بنعرف إن ال Nu بيساوي
+
+441
+00:35:04,610 --> 00:35:08,350
+واحدة على الزمن الدوري صحيح؟ و Omega بيساوي
+
+442
+00:35:08,350 --> 00:35:13,470
+اثنين في Nu فبنجيبها مش مهم تمام؟ بعدين نحكي
+
+443
+00:35:13,470 --> 00:35:18,550
+عنها أطلعوا الطاولة لأ ما جاليش disk ولا جاليش
+
+444
+00:35:18,550 --> 00:35:21,930
+شكلها عشان كده أحسن حاجة يجيبلي ال moment of
+
+445
+00:35:21,930 --> 00:35:26,570
+inertia جاهزة فجالي ال moment of inertia of the
+
+446
+00:35:26,570 --> 00:35:31,130
+table about the axis of rotation is 1000 kilogram
+
+447
+00:35:31,130 --> 00:35:34,890
+متر تربيع إذا ال moment of inertia ده ليها جاهزة
+
+448
+00:35:34,890 --> 00:35:35,490
+حلو
+
+449
+00:35:38,140 --> 00:35:42,160
+الرجال اللي شايفينه كم كتلته؟ سبعين كيلو جرام؟
+
+450
+00:35:42,160 --> 00:35:49,220
+سنباتيك؟ تمام؟ في البداية بدأ في أولى هنا في أول
+
+451
+00:35:49,220 --> 00:35:54,460
+هنا، عند ال center بدأ يبعد عن ال center، بدأ يبعد
+
+452
+00:35:54,460 --> 00:35:59,180
+عن ال center طبعا هو ماشي إلا يكون قاعد ماشي باتجاه
+
+453
+00:35:59,180 --> 00:36:03,060
+نص قطر من أنصاف الأقطار وإما وجه رأسه يكون ماشي
+
+454
+00:36:03,060 --> 00:36:07,140
+باتجاه نص قطر من أنصاف الأقطار الكتيرة what if the
+
+455
+00:36:07,140 --> 00:36:09,300
+angular velocity of the table when the man is two
+
+456
+00:36:09,300 --> 00:36:11,500
+meters from the center لما وصل لعند ما أنتم
+
+457
+00:36:11,500 --> 00:36:15,480
+شايفينه صار بيبعد اثنين متر عن ال center يعني هذه
+
+458
+00:36:15,480 --> 00:36:22,410
+المسافة اثنين متر بيقول لجدي صناعة ال table صار ايش
+
+459
+00:36:22,410 --> 00:36:27,530
+اللي صار؟ واش اللي عمله؟ خليني انا اشرح شغلة معينة
+
+460
+00:36:27,530 --> 00:36:34,370
+في تيرم اللعب الرياضة خصوصا اللعب اللي بتكون على
+
+461
+00:36:34,370 --> 00:36:39,050
+التلج اللي بيجيبوها في حركة دايما بيعملها الرياضي
+
+462
+00:36:39,050 --> 00:36:47,240
+اللي هو عملته spring بيدور لما يدور إيش بيسوي؟ عشان
+
+463
+00:36:47,240 --> 00:36:51,480
+يدور كتير، بيلاقي حق بيضوب بحاله كتير، بيضوب بحاله
+
+464
+00:36:51,480 --> 00:36:55,440
+فبسرع في الدوران، لما بده يوقف و يبطق، بيمد إيديه
+
+465
+00:36:55,440 --> 00:36:59,540
+هيك، هيجيت، لما يمد إيديه و لما يضوب بحاله، إيش
+
+466
+00:36:59,540 --> 00:37:08,980
+بيغير؟ بيغير في I، ال I تبعته، ال I مش ال I بيساوي
+
+467
+00:37:08,980 --> 00:37:13,180
+MR تربيع، هجيب هذه الـ 70 كيلو جرام أو الـ 80 كيلو
+
+468
+00:37:13,180 --> 00:37:17,720
+جرام، هذه بقدر يلعب فيها، لأنه لما ميد اي دي،
+
+469
+00:37:17,720 --> 00:37:20,840
+معناته لما تيجي تحسب I، بياخد في عيني انتباه هذي،
+
+470
+00:37:20,840 --> 00:37:23,700
+وكل ما انت ضبضبت حالك بحيث انك تكون حوالين ال
+
+471
+00:37:23,700 --> 00:37:28,090
+center of mass تبعك، بيصير I بتجرب من ال zero لأن R
+
+472
+00:37:28,090 --> 00:37:32,230
+هي المسافة ما بين الكورتلة ومحور الدوران هجيت أنا
+
+473
+00:37:32,230 --> 00:37:36,450
+محور الدوران يهيو، صح؟ كل ما ضبضبت الكورتلة حوالين
+
+474
+00:37:36,450 --> 00:37:43,070
+هذا الخط كل ما عاجلت وكل ما اطلعت فبالتالي عنا شغل
+
+475
+00:37:43,070 --> 00:37:48,270
+قانون معين هيدا مانطبته بيقوللي أنه وانت بتدور
+
+476
+00:37:48,270 --> 00:37:52,310
+مافيش حد المطور يدورك ولا يدور اتلحقلك، اذا مافيش
+
+477
+00:37:52,310 --> 00:38:00,200
+قوة خارجية المفروض الـinitial يساوي الـfinal صح؟ هذه
+
+478
+00:38:00,200 --> 00:38:04,380
+عبارة عن I initial و Omega initial يساوي I final و
+
+479
+00:38:04,380 --> 00:38:07,740
+Omega final صح ولا لأ؟ بيجي نحسب Omega final يا
+
+480
+00:38:07,740 --> 00:38:12,260
+بنات بتساوي I initial على I final في Omega initial
+
+481
+00:38:12,260 --> 00:38:17,930
+كل ما هاد جلد، هاد يفتصل فيها بتزيد، معناته ضبض
+
+482
+00:38:17,930 --> 00:38:22,810
+بحالك، هذي بتزيد، بصي بيورديش لفش أسرع منك، خلصت
+
+483
+00:38:22,810 --> 00:38:28,070
+لعبتك، بدك تجف، إيش بيك تسوي في هذه؟ زودها، افرد
+
+484
+00:38:28,070 --> 00:38:33,270
+حالك و افرد إيديك، هذي بتزيد، هذي بتجل، بتجف، وهي
+
+485
+00:38:33,270 --> 00:38:36,770
+المبدأ اللي بيجيه الشغلوق، الآن، هذي إيش كان فيه؟
+
+486
+00:38:36,770 --> 00:38:39,310
+جالي لما كان على السنطر، هذي اللي بيجيه لما كان في
+
+487
+00:38:39,310 --> 00:38:45,280
+السنطر، ان تبعته و I تبعته، كيف؟ إيش I بتساوي؟ I
+
+488
+00:38:45,280 --> 00:38:49,040
+تبعته لما كان في الـ Center بـ C0 عمره الدوراه لما
+
+489
+00:38:49,040 --> 00:38:54,220
+يبعد بصيرله I إذا حركته من الـ Center لهناك خلى I
+
+490
+00:38:54,220 --> 00:38:58,620
+تبعته بدل ما هي Zero إصلاح قيمة فأنا بزود I تبعت
+
+491
+00:38:58,620 --> 00:39:02,700
+ال system تبعيه فلما أجحك سؤال كهذا بيقول let us
+
+492
+00:39:02,700 --> 00:39:06,080
+call the moment of inertia of the table I table I
+
+493
+00:39:06,080 --> 00:39:09,620
+T للtable and the moment of inertia of the man I
+
+494
+00:39:09,620 --> 00:39:14,100
+man عادي The initial moment of inertia of the
+
+495
+00:39:14,100 --> 00:39:18,900
+system is therefore هو في السلطة مش I بيساوي I
+
+496
+00:39:18,900 --> 00:39:22,540
+table زي I initial هل رأيته هو في السلطة؟ لم أجد أي
+
+497
+00:39:22,540 --> 00:39:28,460
+مان Zero لأنه كان على السلطة M R تربيع وين
+
+498
+00:39:28,460 --> 00:39:33,840
+قانونها؟ I بتساوي M R تربيع هذه R بعد الجسم عن
+
+499
+00:39:33,840 --> 00:39:37,040
+في محور الدوران وهو كان في السلطة في محور الدوران
+
+500
+00:39:37,040 --> 00:39:40,780
+لم أجد أي تبعته Zero إذا جالي هذه الف اللي
+
+501
+00:39:40,780 --> 00:39:47,900
+أعطانيها زائد Zero فطلعت الف أميفي مشكلة؟ الآن لما
+
+502
+00:39:47,900 --> 00:39:52,240
+بيقعد ضالة zero ايه؟ لأ بيقول لي when the man has
+
+503
+00:39:52,240 --> 00:39:56,520
+walked مشى to the position اقعد ساوة اثنين متر the
+
+504
+00:39:56,520 --> 00:39:59,420
+final moment of inertia of the system التابل
+
+505
+00:39:59,420 --> 00:40:04,050
+ما تغيرش أي شيء التابل كابلف I final بيساوي I للتابل
+
+506
+00:40:04,050 --> 00:40:09,770
+زي I للمان M R تربيع M R تربيع لأن المان اعتبرته
+
+507
+00:40:09,770 --> 00:40:13,790
+كتلة واجه في الآخر زي نقطة فانتقوا من طوله هو واجه
+
+508
+00:40:13,790 --> 00:40:17,950
+عبض نقطة معينة وبالتالي هو كأنه كتلة صغيرة ف M R
+
+509
+00:40:17,950 --> 00:40:23,030
+تربيع finally وهذه بيساوي 1000 زائد 70 في مربع الاثنين
+
+510
+00:40:23,030 --> 00:40:28,650
+4 280 1200 كيلو جرام متر تربيع حلو إذا I initial و I final
+
+511
+00:40:28,650 --> 00:40:33,410
+اللي تغيرت حسبتهم I initial تبعت الطاولة عندي إيها
+
+512
+00:40:33,410 --> 00:40:37,430
+طالعة مش I بتظهر I final فبقوللي applying the
+
+513
+00:40:37,430 --> 00:40:40,230
+conservation of angular momentum اللي هو ال
+
+514
+00:40:40,230 --> 00:40:44,110
+initial بيساوي ال final ف I initial و Omega
+
+515
+00:40:44,110 --> 00:40:47,730
+initial بيساوي I final و Omega final صح I initial
+
+516
+00:40:47,730 --> 00:40:51,970
+حسبتها ولا لأ ألف I final ألف و مائة وتمانين Omega
+
+517
+00:40:51,970 --> 00:40:55,690
+initial بجيبها من الزمن الدوري Omega final بطلعها
+
+518
+00:40:55,690 --> 00:40:59,310
+فصار Omega final بيساوي I initial على I final
+
+519
+00:40:59,700 --> 00:41:04,640
+في Omega initial قال لي ايش هي Omega initial بيساوي
+
+520
+00:41:04,640 --> 00:41:09,220
+2π على الزمن الدوري 2π على الزمن الدوري والزمن
+
+521
+00:41:09,220 --> 00:41:14,480
+الدوري هي 15 فطلّعها فلجالي Omega final بيساوي 0
+
+522
+00:41:14,480 --> 00:41:20,780
+.33 راديان لكل ثانية يعني كانت 0.24 هاها جلت لما زود
+
+523
+00:41:20,780 --> 00:41:30,400
+ال I جلت سرعة الطاولة تمام الحمد لله انجحنا اننا
+
+524
+00:41:30,400 --> 00:41:36,060
+نخلص بس خليني اعمل هالشغل هيك على السريع بدي انا
+
+525
+00:41:36,060 --> 00:41:41,280
+انخص كل الشبطر جالي خليني انخص كل الشبطر يا بنات
+
+526
+00:41:41,280 --> 00:41:46,880
+هذه ال rotational motion وهذه ال linear motion ايش
+
+527
+00:41:46,880 --> 00:41:51,180
+في عندي أنا؟ في الـ Angular Speed Omega Dθ على Dt
+
+528
+00:41:51,180 --> 00:41:56,180
+بتناظر V بيساوي DX على Dt صحيح ولا لأ؟ ال Angular
+
+529
+00:41:56,180 --> 00:42:00,860
+Acceleration Alpha بيساوي D Omega على Dt الـ A دي V
+
+530
+00:42:00,860 --> 00:42:06,040
+على Dt الـ TORQUE TAU بتساوي I في Alpha بدل F تساوي
+
+531
+00:42:06,040 --> 00:42:09,800
+MA إذا هذا القانون ايه اللي بناظره هدول القوانين
+
+532
+00:42:09,800 --> 00:42:16,320
+عارفين هم؟ هدول هدول نفسهم تمام؟ الآن الـ WORK بدل
+
+533
+00:42:16,320 --> 00:42:21,800
+ما هو F DX صار TAU في D فيتا ال rotational kinetic
+
+534
+00:42:21,800 --> 00:42:26,420
+energy بدل ما هي نص NV تربيع صارت نص I أميجا تربيع
+
+535
+00:42:26,420 --> 00:42:33,550
+ال power بدل ما هي F V صارت TAU في أميجا الآنجلر
+
+536
+00:42:33,550 --> 00:42:38,810
+مومنطام قادر بتساوي I omega بدل V بيساوي m في V
+
+537
+00:42:38,810 --> 00:42:43,050
+ال torque تبع القانون F بيساوي DB على DT صار ال
+
+538
+00:42:43,050 --> 00:42:45,970
+torque بيساوي DL على DT لمنها أخدت ان ال momentum
+
+539
+00:42:45,970 --> 00:42:54,450
+is conserved هذا كل الشبكة احكي نحن
+
+540
+00:42:54,450 --> 00:42:57,290
+بدأنا ندرس هذا الجدول نحن بدأنا ندرس هذا الجدول
+
+541
+00:42:57,290 --> 00:43:01,770
+نحن بدأنا ندرس هذا الجدول نحن بدأنا ندرس هذا
+
+542
+00:43:01,770 --> 00:43:02,370
+الجدول نحن بدأنا ندرس هذا الجدول نحن بدأنا ندرس
+
+543
+00:43:07,830 --> 00:43:10,770
+أه انتوا عادي مش موجودة عينكم؟ اشتغال و نحفظ و
+
+544
+00:43:10,770 --> 00:43:18,410
+اشتغال و اه؟ شوية هو ان هو فيه هو انت بتتحلي من ال
+
+545
+00:43:18,410 --> 00:43:21,750
+Zero مش تحفظ و تشتقي و بعدين تحلي لأ بتشتغلي من
+
+546
+00:43:21,750 --> 00:43:27,210
+أول مابديهاش حاجة ذهبية ان هو
+
+547
+00:43:27,210 --> 00:43:34,110
+.. هو صح بس ممنوع تحلي عليهم عشان مابديش هيك
+
+548
+00:43:34,110 --> 00:43:34,630
+تحفظيهم
+
+549
+00:43:43,850 --> 00:43:47,630
+معادلة التفاضلية بتحليها من رابع ابتدائي بتقدر
+
+550
+00:43:47,630 --> 00:43:51,750
+تعمليها أنا بخليها تظبط معاكي في معادلة بتعلق
+
+551
+00:43:51,750 --> 00:43:59,220
+بتعلق؟ بسيطة، ننفق عليها بتبقى، بهمش، بنظبطها هيك
+
+552
+00:43:59,220 --> 00:44:01,620
+انهينا هذه ال chapter إن شاء الله يوم الثلاثاء
+
+553
+00:44:01,620 --> 00:44:05,080
+بنبدأ بال chapter اللي ورا الثلاثاء والاربعاء بنخلصه
+
+554
+00:44:05,080 --> 00:44:07,320
+بضل السبوع اللي ورا لل chapter الآخر
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/txx5jeYJzW4.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/txx5jeYJzW4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e87ccc9021d2e107fa63706e1c1eb37f0d9bfc92
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/txx5jeYJzW4.srt
@@ -0,0 +1,1792 @@
+1
+00:00:21,010 --> 00:00:23,630
+نسمي بسم الله الرحمن الرحيم و نبدأ بالـ Chapter
+
+2
+00:00:23,630 --> 00:00:31,850
+التاسع، الـ Chapter التاسع هو نفس الـ Chapter الثامن
+
+3
+00:00:31,850 --> 00:00:35,970
+لسه... لسه... لما ننهي الفصل خلص ضايل أربع أسابيع
+
+4
+00:00:35,970 --> 00:00:40,790
+غير هذا الأسبوع، خلص لما نخلص بتانية؟ آه خلص ضايل
+
+5
+00:00:40,790 --> 00:00:44,490
+فقط أربع أسابيع تدريس غير هذا الأسبوع لما نخلص
+
+6
+00:00:44,490 --> 00:00:46,850
+بتانية؟ تمام، واحنا ضايلنا أربع أسابيع لما نخلص
+
+7
+00:00:46,850 --> 00:00:53,380
+أربع أسابيع، Chapter 9 عنوانه الـ Collisions تقريباً
+
+8
+00:00:53,380 --> 00:00:57,240
+تطبيق مباشر للمواضيع اللي أخذناها في Chapter 8
+
+9
+00:00:57,240 --> 00:01:01,180
+اللي هي System of Particles وقد لَبِسُوا أنه تطبيق
+
+10
+00:01:01,180 --> 00:01:08,920
+مباشر على هذه الأمور، خلينا نبدأ بأول مصطلح أو أول
+
+11
+00:01:08,920 --> 00:01:14,680
+مبدأ وهو الـ impulse أو الدفع، عملية الدفع طبعاً لما
+
+12
+00:01:14,680 --> 00:01:23,850
+نيجي ندفع، مرتبط بقوة وبالتالي عملية الدفع بنقول when
+
+13
+00:01:23,850 --> 00:01:28,910
+two objects crash into each other في اصطدموا مع
+
+14
+00:01:28,910 --> 00:01:34,650
+بعض، صار في تفاعل منهم، تمام؟ each object exerts a
+
+15
+00:01:34,650 --> 00:01:37,910
+force on the other كل واحد بأثر على الثاني بالقوة،
+
+16
+00:01:37,910 --> 00:01:42,690
+هذه شغلة منطقية، تمام؟ بالتالي، وكأنه كل واحد بيدفع
+
+17
+00:01:42,690 --> 00:01:47,750
+الثاني، كل واحد بيدفع الثاني، كيف بدي أميز ما بين
+
+18
+00:01:47,750 --> 00:01:53,990
+القوة والدفع؟ بدو يدخل عندي أنا عامل الزمن في
+
+19
+00:01:53,990 --> 00:01:57,610
+تأثيري على القوة، طبعاً كلكم بتعرفوا أني لما أخبط
+
+20
+00:01:57,610 --> 00:02:03,150
+الإنسان خبطة فترة قصيرة، غير لما أظل مستمر بتأثيري
+
+21
+00:02:03,150 --> 00:02:07,150
+على القوة وبالتالي عملياً بتختلف إذا دخلت عامل
+
+22
+00:02:07,150 --> 00:02:11,870
+الزمن بهذه القضية، خلينا نقول أنت قانون الـ Newton
+
+23
+00:02:11,870 --> 00:02:16,170
+الثاني بصيغته الجديدة اللي أخذناها في الـ Chapter
+
+24
+00:02:16,170 --> 00:02:23,860
+الماضي، قولنا F بدل ما هي MA بيقولنا بيساوي إيش؟ DP
+
+25
+00:02:23,860 --> 00:02:29,240
+على DT، صحيح ولا لا؟ اتفقنا على هذا الشيء، بالتالي
+
+26
+00:02:29,240 --> 00:02:34,460
+يقولنا F equal DP على DT or the derivative of
+
+27
+00:02:34,460 --> 00:02:38,160
+linear momentum with respect to time، بدي أضرب ضرب
+
+28
+00:02:38,160 --> 00:02:41,300
+تبادلي يا بنات، خذني أضرب ضرب تبادلي، أكثر صحيح ولا
+
+29
+00:02:41,300 --> 00:02:48,100
+لا؟ في مشكلة؟ خلينا نكامل طرفي المعادلة كأمانة
+
+30
+00:02:48,100 --> 00:02:52,670
+طرفي المعادلة، طبعاً دائماً من الـ initial لـ final، من
+
+31
+00:02:52,670 --> 00:02:57,270
+البداية لنهاية الزمن، هذا ما أقدرش أفضل أكمله إلا لما
+
+32
+00:02:57,270 --> 00:03:02,190
+أعرف إيش الشيء لأن هذه أفضل تكون function، بس هم ليش
+
+33
+00:03:02,190 --> 00:03:08,970
+كاملوا P مش كاملوا الـ dx، طيب P من initial لـ
+
+34
+00:03:08,970 --> 00:03:15,030
+final ليش تطلع P final ناقص P initial، يعني دلتا P
+
+35
+00:03:15,030 --> 00:03:21,250
+يعني دلتا P، إذا الـ Delta P جاني هذا اللي بغلبك
+
+36
+00:03:21,250 --> 00:03:27,230
+رموز البرنامج الـ GA، وهذا سموّه الدفع اللي هو القوة
+
+37
+00:03:27,230 --> 00:03:33,490
+في الزمن، القوة في الزمن هو الدفع، لما نقول بسوء
+
+38
+00:03:33,490 --> 00:03:39,450
+Delta P إذا هو نفسه معدل تغير كمية الحركة، صحيح ولا
+
+39
+00:03:39,450 --> 00:03:45,610
+لا؟ طبعاً إذا هذا اللي هو J اللي بيساوي تكامل القوة
+
+40
+00:03:45,610 --> 00:03:51,730
+بالنسبة للزمن أو القوة في زمن، بالنهاية is called
+
+41
+00:03:51,730 --> 00:03:56,110
+the impulse of the force هو دفع القوة، طبعاً كل ما
+
+42
+00:03:56,110 --> 00:04:01,490
+كانت هذه أكبر كل ما كان الـ impulse أكبر، طبعاً بيزيد
+
+43
+00:04:01,490 --> 00:04:06,580
+مع، وبعدها بيشوف كيف الشغل تبعها، طبعاً زي ما اتفقنا
+
+44
+00:04:06,580 --> 00:04:11,280
+إن F عشان أعرف أكاملها بدي تعطيني إياها كدالة بالزمن
+
+45
+00:04:11,280 --> 00:04:16,540
+بكاملها، لما أفترض إن F جاني والله F بتساوي خمسة T
+
+46
+00:04:16,540 --> 00:04:20,920
+تربيع بكاملها ولا لأ؟ هي بتتعاي على تلاتة ما هي T
+
+47
+00:04:20,920 --> 00:04:26,680
+تربيع، صحيح ولا لا؟ تمام، لكن القوة تشيك غالباً فبقول
+
+48
+00:04:26,680 --> 00:04:29,880
+as the force varies with time، القوة بتتغير مع
+
+49
+00:04:29,880 --> 00:04:36,840
+الزمان، بدي أديب الـ Average عشان أريح حالي ومضلنيش
+
+50
+00:04:36,840 --> 00:04:39,800
+أكامل، وأغلب حالة التكامل نستطيع أن نضع الـ
+
+51
+00:04:39,800 --> 00:04:46,420
+Average Force كـ J التي هي DP، ما زال هذه Average والـ
+
+52
+00:04:46,420 --> 00:04:49,790
+Average ثابته بيكون، يعني بيبطل أنه بيتغير بمعنى
+
+53
+00:04:49,790 --> 00:04:53,030
+آخر أنا عنده قوة بتتغير مع الزمان، مرة كانت عشرة و
+
+54
+00:04:53,030 --> 00:04:55,850
+مرة كانت تلاتة ومرة صارت عشرين ومرة صارت خمسة وعشرين
+
+55
+00:04:55,850 --> 00:04:58,990
+اتغيرت ولا اتغيرت، إيش؟ اتغيرت، طيب تقدروا
+
+56
+00:04:58,990 --> 00:05:02,090
+تجيبوا الـ average لها؟ اه الـ average كقيمة بتتغير؟
+
+57
+00:05:02,090 --> 00:05:06,330
+لأ، بذلك، لأ بذلك بَطَلَّعه برة كـ average فصار الـ
+
+58
+00:05:06,330 --> 00:05:11,930
+average إيش تخميني تدّيتي؟ T من final لـ initial، قلع
+
+59
+00:05:11,930 --> 00:05:17,250
+تدّيتي زي الـ V، إذا F بس average هذه الـ F مش F عند
+
+60
+00:05:17,250 --> 00:05:19,790
+لحظة معينة، لا أخدت العشرة ولا أخدت الخمسة عشرين ولا
+
+61
+00:05:19,790 --> 00:05:25,630
+أخدت الخمسة عشر، أخدت الـ average تبعهم، فبيصير الدفع
+
+62
+00:05:25,630 --> 00:05:30,050
+هو عبارة عن الـ average force في الزمن، الـ average
+
+63
+00:05:30,050 --> 00:05:33,490
+force في الزمن، لأنه احنا عملية نفترض أن السيارتين
+
+64
+00:05:33,490 --> 00:05:40,680
+اصطدموا مع بعض صارت منهم دفع، القوة بتظهر نفس الشيء
+
+65
+00:05:40,680 --> 00:05:44,260
+عند الصدمة بتكون القوة عالية وبعدين شوية شوية تهدأ
+
+66
+00:05:44,260 --> 00:05:47,920
+وبالتالي... لكن أنا بقول إيش القوة المتوسطة، خلاص
+
+67
+00:05:47,920 --> 00:05:51,220
+بالقوة المتوسطة نفترض ألف نيوتن، فبقول ألف نيوتن
+
+68
+00:05:51,220 --> 00:05:55,440
+هذه كلمة ألف نيوتن مختارة ثابتة، ما قلتش والله مرة كان
+
+69
+00:05:55,440 --> 00:05:59,320
+ع خمس آلاف ومرة كان ألف ومرة صار صفر، لأ قلت
+
+70
+00:05:59,320 --> 00:06:03,820
+المتوسط، فكمية المتوسط هذه بتريحني أنه تكون متغيرة
+
+71
+00:06:03,820 --> 00:06:10,100
+وما تكونش متغيرة ف... فسارة J التي هي رمزي الدفع
+
+72
+00:06:10,100 --> 00:06:14,380
+بتساوي Delta P وبتساوي الـ Average Force في الزمن
+
+73
+00:06:14,380 --> 00:06:25,540
+نيجي من هنا، التعريف هذا، إيش بتفرق كوحدات P عن J؟
+
+74
+00:06:25,540 --> 00:06:31,280
+البساطة نفسها، مظبوط ولا لا؟ لأنه بيساوي وبعت، إذا
+
+75
+00:06:31,280 --> 00:06:36,060
+بالرغم من تغيير الاسم، إلا إن الوحدة واحدة، إذا
+
+76
+00:06:36,060 --> 00:06:40,700
+ندفع الـ momentum بيشبهوا بعض، زي الكائنات الـ
+
+77
+00:06:40,700 --> 00:06:43,100
+energy والـ potential energy، مع أن أسمائهم متغيرة
+
+78
+00:06:43,100 --> 00:06:46,420
+والـ work لكن كلهم كمية فيزيائية واحدة ليه؟ لأنه
+
+79
+00:06:46,420 --> 00:06:52,700
+متحدثين بالوحدة، والوحدة أساسية، فالـ J وحدتها زي الـ
+
+80
+00:06:52,700 --> 00:06:57,900
+P، كيلو جرام متر على second، طبعاً، وبتساوي هنا هي
+
+81
+00:06:57,900 --> 00:07:02,020
+نفسها نيوتن في second، لما نيجي نقول نيوتن في
+
+82
+00:07:02,020 --> 00:07:08,400
+second هذه الشيء، كيلو جرام متر عشان تربيعه واضربه
+
+83
+00:07:08,400 --> 00:07:13,860
+في صدر النجم نفس الشيء، طيب الدفع vector ولا scalar
+
+84
+00:07:13,860 --> 00:07:20,800
+vector لأنها P هي نفسها P، والـ F برضه vector، تمام
+
+85
+00:07:20,800 --> 00:07:26,000
+خليني أنا أشوف المثال، إذا بالتالي لو واحد يقولك
+
+86
+00:07:26,000 --> 00:07:33,770
+أو جسم خبط في حيطة، خبط بسرعة مية وفي الآخر صارت
+
+87
+00:07:33,770 --> 00:07:37,770
+سرعة عشرين، إيش الدفع؟ بقول جيبلي الـ momentum،
+
+88
+00:07:37,770 --> 00:07:41,390
+جابلي الدفع والـ momentum بعد اللي خطأ، بتروحهم من
+
+89
+00:07:41,390 --> 00:07:46,070
+بعيد، هذه الدفع لا بدي force ولا بدي زمان، أريح لي
+
+90
+00:07:46,070 --> 00:07:49,830
+هيك مرات، صحيح ولا لا؟ لأن هو نفس القضية طبعاً، إذا
+
+91
+00:07:49,830 --> 00:07:54,270
+في زمن، بجيبها بطريقة قانونية، مش قضية، نشوف واحدة
+
+92
+00:07:54,270 --> 00:07:59,380
+واحدة، بقول يا أكاف of mass one thousand five
+
+93
+00:07:59,380 --> 00:08:03,660
+hundred kilogram collides اصطدمت with a wall
+
+94
+00:08:03,660 --> 00:08:07,780
+اصطدمت بحيطة، زي ما توي حكيت، the initial velocity
+
+95
+00:08:07,780 --> 00:08:10,580
+is v initial equal four point five meter per
+
+96
+00:08:10,580 --> 00:08:14,220
+second to the left and the final velocity v final
+
+97
+00:08:14,220 --> 00:08:17,260
+equal two point six meter per second to the right
+
+98
+00:08:17,260 --> 00:08:22,850
+بده find the impulse، ليش الدفع اللي صار على
+
+99
+00:08:22,850 --> 00:08:26,910
+السيارة؟ بعدين يقول if the average force exerted
+
+100
+00:08:26,910 --> 00:08:30,690
+on the car is طبعاً دائماً قوة الاقتصادهم بتكون ضخمة،
+
+101
+00:08:30,690 --> 00:08:33,490
+قوة كبيرة عشان كده بيصير فيها خسائر وبيصير فيها
+
+102
+00:08:33,490 --> 00:08:37,110
+موتة، لأن قوة الاقتصادهم بتكون ضخمة، بعدين ببرّجيكم ليش
+
+103
+00:08:37,110 --> 00:08:40,460
+بتكون ضخمة، القوة 1
+
+104
+00:08:40,460 --> 00:09:07,500
+.76⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵⁵�
+
+105
+00:09:08,010 --> 00:09:12,150
+لما هي تكون صغيرة، كم هي تكون؟ ضخمة، ضخمة، ضخمة،
+
+106
+00:09:12,150 --> 00:09:12,750
+ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة،
+
+107
+00:09:12,750 --> 00:09:12,830
+ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة،
+
+108
+00:09:12,830 --> 00:09:14,570
+ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة،
+
+109
+00:09:14,570 --> 00:09:22,490
+ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة،
+
+110
+00:09:22,490 --> 00:09:24,450
+ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة،
+
+111
+00:09:24,450 --> 00:09:25,670
+ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة، ضخمة،
+
+112
+00:09:25,670 --> 00:09:36,730
+ضخمة،
+
+113
+00:09:36,730 --> 00:09:46,730
+خبطت بالحيطة ورجعت بهذا الشكل بسرعة مقدارها 2.6 متر
+
+114
+00:09:46,730 --> 00:09:50,750
+per second، شوفوا أسئلة زي هذه سهلة، الـ trick ها
+
+115
+00:09:50,750 --> 00:09:55,010
+بسيط إنك أنت وأنت بتحلي الـ direct صحية إنك تتعامل
+
+116
+00:09:55,010 --> 00:09:58,470
+مع vectors مش scalars، هذه الـ trick، السؤال الـ
+
+117
+00:09:58,470 --> 00:10:04,690
+direction مهم بمعنى آخر، أخدت اتجاه معين، العكسه
+
+118
+00:10:04,690 --> 00:10:09,360
+ما تخليش نفس الرقم، بتحط إيش ثالث، هي تركي السؤال و
+
+119
+00:10:09,360 --> 00:10:13,800
+أنا كده بضلّش إشي، ما فيش تركات كثيرة، يعني مش زي شبط
+
+120
+00:10:13,800 --> 00:10:16,500
+الأربعة اللي كان فيه يسمّون فوق بعضه ويسمّونهم
+
+121
+00:10:16,500 --> 00:10:19,700
+نازلين بعضه ويسمّونه وبدك تشتغل هنا، ما فيش هدس
+
+122
+00:10:19,700 --> 00:10:23,960
+شكلها بس الواحد بيضلّ صاحي إنه يتعامل مع vectors و
+
+123
+00:10:23,960 --> 00:10:28,860
+يعرف كيف يتعامل مع الـ vectors، تمام، الآن
+
+124
+00:10:30,330 --> 00:10:34,710
+بيدّوا الـ Impulse، والـ Impulse ما مدّيني زمان لسه
+
+125
+00:10:34,710 --> 00:10:36,870
+ولا مدّيني force، المعنى إن أنت مش أسهل مني ذالك
+
+126
+00:10:36,870 --> 00:10:41,350
+تابعي، ذالك تابعي وهونّيو أصلاً بيبينك من المعطيات،
+
+127
+00:10:41,350 --> 00:10:46,590
+V-initial وV-final والكتلة، إيش ضال؟ ضال بس أحق،
+
+128
+00:10:46,590 --> 00:10:49,530
+واشغلها الكاركية، تربعين، اللي الله تخسرينها
+
+129
+00:10:49,530 --> 00:10:54,270
+شوية كهربا بحجار، بسهولة أكثر من كده، بتدهش وماشاء
+
+130
+00:10:54,270 --> 00:10:59,110
+الله عليها تغليطها ومتقوليش أخي راسك تشتغل، تمام، J
+
+131
+00:10:59,110 --> 00:11:03,430
+equal B final minus B initial، هي delta P، تمام
+
+132
+00:11:03,430 --> 00:11:07,570
+وبساوي M B final ناقص M B initial، شوفوا كيف الخطأ
+
+133
+00:11:07,570 --> 00:11:13,170
+اللي بيصير مرة إنه أنا أطلع أحطه في صلة زائد
+
+134
+00:11:13,170 --> 00:11:18,790
+بالظبط، هي الخطة اللي بيغلط فيها الطالب وراح بيحطلها
+
+135
+00:11:18,790 --> 00:11:24,230
+سالفة، قلتوا عليّ؟ ليه؟ ليش عملت؟ قلت أنا بالنسبة لي
+
+136
+00:11:24,230 --> 00:11:28,490
+هذا موضع بيه، إذن هذه سالفة، طبعاً أنا حاطّف المودة
+
+137
+00:11:28,490 --> 00:11:31,430
+بو السالفة في السؤال محددة، أقولكم مودة بو السالفة،
+
+138
+00:11:31,430 --> 00:11:34,390
+هي نفس السؤال، أنت ما كنت حاطّفه، احتّي عادي هو طلع
+
+139
+00:11:34,390 --> 00:11:38,270
+نفس الرقم، بس هو الرقم كله بسالفة، إذن بتكون أنت
+
+140
+00:11:38,270 --> 00:11:41,710
+عكست اتجاهك، اه، بس لو أنت زيك، إيه أنت عملتي لي
+
+141
+00:11:41,710 --> 00:11:45,800
+هيك؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+142
+00:11:45,800 --> 00:11:46,680
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+143
+00:11:46,680 --> 00:11:47,500
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+144
+00:11:47,500 --> 00:11:47,580
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+145
+00:11:47,580 --> 00:11:48,980
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+146
+00:11:48,980 --> 00:11:51,220
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+147
+00:11:51,220 --> 00:11:54,760
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+148
+00:11:54,760 --> 00:11:56,460
+لأ
+
+149
+00:11:58,180 --> 00:12:01,560
+أولاً إن الـ coordinates أنا اللي باختارها واتجاه
+
+150
+00:12:01,560 --> 00:12:05,120
+الموجب أنا اللي باختاره، بس حدّد دي وين اتجاهك الموجب
+
+151
+00:12:05,120 --> 00:12:08,500
+عشان نقولك إميل، ما فيش عندنا أي إشكالية، طبعاً أنا طبعاً
+
+152
+00:12:08,500 --> 00:12:11,860
+ما أخذت default إن دائماً اللي على اليمين هو الموجب
+
+153
+00:12:11,860 --> 00:12:17,660
+واللي على اليسار هو السالب، فطلعت عندي 1.017 to
+
+154
+00:12:17,660 --> 00:12:21,920
+power Te4 kilogram meter per second، هي نفس وحدات
+
+155
+00:12:21,920 --> 00:12:27,780
+الـ momentum أي صفصة، سؤال مباشر، مش فيه أي شيء طبعاً
+
+156
+00:12:27,780 --> 00:12:31,840
+في الفرق الثاني برضه شغل Calculations، بيقول لـ
+
+157
+00:12:31,840 --> 00:12:38,340
+Delta T بيستوي جي علاف جي جزك طلعته ولاف هو أطلع
+
+158
+00:12:38,340 --> 00:12:44,000
+إليها فطلع لإشتريت 60 Milliseconds، 60 Milliseconds
+
+159
+00:12:44,000 --> 00:12:48,760
+يعني حوالي 0.6 Second، نصف ثانية، تصوروا أنت الثانية
+
+160
+00:12:48,760 --> 00:12:52,080
+الواحد أول ما يحكي ثانية بيقول خلصت الثانية، فهذه
+
+161
+00:12:52,080 --> 00:13:00,780
+نصفها، فهمها نصفها، طبعاً مع تطور الأمور الآن احنا بنقيس لـ
+
+162
+00:13:00,780 --> 00:13:05,240
+0.001 second، يعني حتى... حتى يعني خلنا نقول في
+
+163
+00:13:05,240 --> 00:13:07,720
+المسابقات اللي بتصير في الجري وفي الصباح ومش
+
+164
+00:13:07,720 --> 00:13:11,660
+عارف إيش بتلاقي ولو
+
+216
+00:17:05,740 --> 00:17:10,380
+الحركة أو من ال conservation of energy بصح؟ أخذناها
+
+217
+00:17:10,380 --> 00:17:13,420
+شطر سبعة ولا ما أخذناهاش؟ أنتم طبعا مبرمجينلي شطر
+
+218
+00:17:13,420 --> 00:17:17,940
+اثنين عشان تسجلوا الانتحار أنا مبرمج لشطر سبعة لأنه
+
+219
+00:17:17,940 --> 00:17:18,820
+يخلص
+
+220
+00:17:21,080 --> 00:17:27,220
+حلو، إذا هذه الـ V1 و هذه الـ V final و ال initial،
+
+221
+00:17:27,220 --> 00:17:32,300
+أنا كتبتها، إذا هو نزل وبعدين طلع، هذه ال initial
+
+222
+00:17:32,300 --> 00:17:36,840
+و هذه ال final، أنا أدرس الحركة عند التصادم، أدرس
+
+223
+00:17:36,840 --> 00:17:41,560
+حركة التصادم، أدرس إيش حركته، هو نازل، بالنسبة لـ
+
+224
+00:17:41,560 --> 00:17:46,030
+Delta Vكان لك إيباد أجيبها بقول له عشان أجيبها بقول
+
+225
+00:17:46,030 --> 00:17:50,490
+to find the velocities just before and just after
+
+226
+00:17:50,490 --> 00:17:54,110
+just before and just after وكل من just ما أنتم
+
+227
+00:17:54,110 --> 00:17:58,630
+عارفين يعني إيش تتعني تمام after كل جيل we use the
+
+228
+00:17:58,630 --> 00:18:02,710
+conservation of energy method تمام K initial زائد U
+
+229
+00:18:02,710 --> 00:18:07,210
+initial ثم K final زائد U final حلو initial هي U و
+
+230
+00:18:07,210 --> 00:18:14,680
+finally هذا مجتمع ميجي كداش يو إي نيشيان لأ high
+
+231
+00:18:14,680 --> 00:18:21,360
+initial يو إي نيشيان أكثر من قانوني روحاني A, M, G,
+
+232
+00:18:21,480 --> 00:18:28,420
+H و الـ H كانت 1.8 فما قدش كي initial ده مبدأ من
+
+233
+00:18:28,420 --> 00:18:34,780
+الـ support قدش يو final؟ Zero وصل الأرض قدش كي
+
+234
+00:18:34,780 --> 00:18:36,560
+final بديها لإني بدي أصل على ها
+
+235
+00:18:36,560 --> 00:18:40,800
+ههيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهيهي
+
+236
+00:18:42,570 --> 00:18:45,150
+بقولي for the motion of the ball before colliding
+
+237
+00:18:45,150 --> 00:18:48,850
+with the floor بقولي أنا قاعد بدرس حركة إيش؟ الجسم
+
+238
+00:18:48,850 --> 00:18:52,870
+يقول لي نازلة وهي نازلة من أول ما أنت أطلقتها لما
+
+239
+00:18:52,870 --> 00:18:57,630
+تصل للأرض قاعد بدرسها بيقول لي the last equation
+
+240
+00:18:57,630 --> 00:19:06,780
+gives هذه Zero لأنه بدأ من السكون هذه MGH هذه 0
+
+241
+00:19:06,780 --> 00:19:14,080
+و هذه نصف في final تربيع لكن هي initial للتصادم هي
+
+242
+00:19:14,080 --> 00:19:19,920
+initial للتصادم هذه نهاية الحركة بالنسبة للتصادم
+
+243
+00:19:19,920 --> 00:19:26,460
+قبل التصادم لذلك وضعتها initial يعني أنتم تشوفوا
+
+244
+00:19:26,460 --> 00:19:30,660
+هادي أنا عم بعوض أنا أحل هادي لكن هادي final لحركة
+
+245
+00:19:30,660 --> 00:19:36,280
+هو نازل و initial لحركة اتصاله تمام؟ فبكتر أقول أن
+
+246
+00:19:36,280 --> 00:19:41,180
+أنا عم بروح في initial بالساوية TGH و ال H 1.8 و
+
+247
+00:19:41,180 --> 00:19:45,200
+ال G كلها بتعرفوها و ال calculator طلعتها 5.94
+
+248
+00:19:45,200 --> 00:19:50,700
+meter per second في مشكلة؟ إذن هي أول واحدة من
+
+249
+00:19:50,700 --> 00:19:54,220
+الكائنات الفنسانية المعطيات طلعتها جالي طب ال ED
+
+250
+00:19:54,220 --> 00:20:02,320
+final هو لما جالي the ball rebound vertically to a
+
+251
+00:20:02,320 --> 00:20:07,740
+height of 1.2 متر أقصى ارتفاع وصمته هذه صح ولا لا؟
+
+252
+00:20:07,740 --> 00:20:11,560
+طيب هذه كائنة ال ED كان لهو طالع
+
+253
+00:20:15,120 --> 00:20:18,680
+الـ U-initial suffix الـ U-final مجيئة الشرطة
+
+254
+00:20:18,680 --> 00:20:22,020
+ويقولون اطبخ نفس القانون عشان تطلع ال V إذا
+
+255
+00:20:22,020 --> 00:20:26,220
+بيقول لنا الآن and for the motion of the ball after
+
+256
+00:20:26,220 --> 00:20:29,740
+colliding with the floor بعد ما الصدمة بدأت يوصل
+
+257
+00:20:29,740 --> 00:20:33,320
+حركة اه
+
+258
+00:20:33,320 --> 00:20:36,780
+واحد و اثنين اه طبعا واحد و اثنين اه بقول لك النقطة
+
+259
+00:20:36,780 --> 00:20:45,460
+دي بتصير عندي نص .. هنا في الأرض هادي بديها هادي
+
+260
+00:20:45,460 --> 00:20:50,300
+هي نص mv final التربية هادي .. مع أنها initial هنا
+
+261
+00:20:50,300 --> 00:20:56,960
+هادي initial للحركة هو صاعد وهي نهاية التصادم هادي
+
+262
+00:20:56,960 --> 00:21:02,720
+سفر .. كان على الأرض صح؟
+
+263
+00:21:02,720 --> 00:21:06,300
+هادي
+
+264
+00:21:06,300 --> 00:21:12,790
+.. الشيء .. هو طالع .. وكان طالع كان 100 ما كانش
+
+265
+00:21:12,790 --> 00:21:15,230
+الصراحة ولا كان الوشن؟ لأ أنت قعدت في نفس التاني
+
+266
+00:21:15,230 --> 00:21:17,930
+من نفسك .. ها هو أنا والله .. بس هو .. ما عرفنا النصر
+
+267
+00:21:17,930 --> 00:21:20,830
+عمال أني جالس فيه مبقى .. أنا قعدت بدرس أسفل بس
+
+268
+00:21:20,830 --> 00:21:23,570
+ما كنتش أكتب المعادلة كمان مرة بقعد بقعد .. هي نفس
+
+269
+00:21:23,570 --> 00:21:27,270
+المعادلة ما هي .. مش في نفس المعادلة بس الآن هو
+
+270
+00:21:27,270 --> 00:21:31,410
+صاعد .. هو صاعد initially كان في القرب و final وين
+
+271
+00:21:31,410 --> 00:21:41,120
+صار .. هذه هنا initially و هذه final صحيح؟ تمام H K
+
+272
+00:21:41,120 --> 00:21:49,660
+initial بتساوي نص M V final تربيع U initial بتساوي
+
+273
+00:21:49,660 --> 00:21:59,860
+صفر U final بتساوي MGH prime و K final صفر لإن
+
+274
+00:21:59,860 --> 00:22:02,700
+عندها أقصى ارتفاع V final equal to zero صحيتي يا
+
+275
+00:22:02,700 --> 00:22:10,800
+بنات؟ نهجي معاقب K initial هيها U initial صفر الله
+
+276
+00:22:10,800 --> 00:22:18,480
+سهل عليها K final صفر U final هيها بقدر أجيب V
+
+277
+00:22:18,480 --> 00:22:22,980
+final من هنا ولا لا هذه V final طلعت four point
+
+278
+00:22:22,980 --> 00:22:23,520
+ninety أحتي
+
+279
+00:22:37,800 --> 00:22:45,060
+مش مستوعب السؤال أنا جيت كيف أنت بتتعاملي ليه؟ فيش
+
+280
+00:22:45,060 --> 00:22:50,120
+خربطتي؟ دخلت عندك المعلومات؟ فيش دخلت؟ اللي خلقتي
+
+281
+00:22:50,120 --> 00:22:53,520
+تسألي سؤال زي هذا ده؟ لأ بعيد عيدي بهمش سؤال جديد لأ
+
+282
+00:22:53,520 --> 00:22:58,960
+لأ أنا جيت أني جيت .. جيت سن طالب اه شوف يا بنتي
+
+283
+00:22:58,960 --> 00:23:00,460
+شابتر سبعة ميستو
+
+284
+00:23:04,440 --> 00:23:08,860
+مين زي اثنين؟ ليش؟ هو أنت بتقول U و بتقول K صح ولا
+
+285
+00:23:08,860 --> 00:23:16,680
+لأ؟ U إيش قانونها؟ M G في H M G في H لا M ولا G
+
+286
+00:23:16,680 --> 00:23:23,300
+تتغير ولا M ولا G تتغير بيجي ل H قولنا عشان رايحك
+
+287
+00:23:23,300 --> 00:23:27,220
+H هي المسافة العمودية بين الموضع و ال level اللي
+
+288
+00:23:27,220 --> 00:23:31,580
+أخذته صح؟ إذا اللي .. الماء اللي جاي من الجسم تحت
+
+289
+00:23:31,580 --> 00:23:35,820
+ال level بتصير سالبة إذا فوق ال level بتصير موجبة
+
+290
+00:23:35,820 --> 00:23:41,400
+هل جيت ال level اللي عطوه و ارتضيت و إيه ليهيه؟ صح؟
+
+291
+00:23:41,400 --> 00:23:44,960
+جيت فيه وضع من الأوضاع كانت الكرة تحت ال level؟
+
+292
+00:23:44,960 --> 00:23:51,660
+لأ طبعًا أنت فسالي؟ خلاص خلاص تمام هي؟ ما تخلبطوش
+
+293
+00:23:51,660 --> 00:23:56,410
+المعلومات مع بعض أنا بتعامل مع scalars بتعامل مع
+
+294
+00:23:56,410 --> 00:24:00,710
+energy scalars ما هي لا طالع فوق ولا نازل تحت ولا
+
+295
+00:24:00,710 --> 00:24:09,570
+direction ولا صرعة ولا حاجة وصلت؟ تمام غيرها إلى
+
+296
+00:24:09,570 --> 00:24:13,630
+أنا بيقول لي the initial و the final جاهزين خلاص
+
+297
+00:24:13,630 --> 00:24:20,190
+ارجع للقانون هلأ The final عرفتها اللي هي 4.95 The
+
+298
+00:24:20,190 --> 00:24:27,230
+initial طلعتها 5.94 طلع والآن for the impulse
+
+299
+00:24:27,230 --> 00:24:32,450
+جيكو ال data به و طبعا كنا بنعرف وهو قالع موجة وهو
+
+300
+00:24:32,450 --> 00:24:37,630
+هو نازل يعني هات كلمة اترك آخر بدناش تبقى مجرد ال
+
+301
+00:24:37,630 --> 00:24:40,730
+calculator صابعنا تخش عليها تدخل لها وتقول ال
+
+302
+00:24:40,730 --> 00:24:43,370
+calculator غلط ال calculator غلطت أنت دخلت لها
+
+303
+00:24:43,370 --> 00:24:56,080
+بتطلع الآنهذه موجبة أو سالبة؟ سالبة وهذه موجبة أو
+
+304
+00:24:56,080 --> 00:25:06,340
+لعكس أو لعكس أو لعكس أو لعكس أو لعكس
+
+305
+00:25:07,430 --> 00:25:12,990
+final ناقص initial عكستها وأنا عملتها فطلعت 2.18
+
+306
+00:25:12,990 --> 00:25:17,470
+kilogram meter per second لأنه في واحدة عكس الثانية
+
+307
+00:25:17,470 --> 00:25:22,190
+تمام ال average force مش أسهل منه ال average force
+
+308
+00:25:22,190 --> 00:25:25,490
+بيساوي المقدار اللي طلعته وهو الدفع على الزمن اللي
+
+309
+00:25:25,490 --> 00:25:32,250
+أصلًا معطى إليك فطلعت 181.7 نيوتن شوفوا طبعًا لما
+
+310
+00:25:32,250 --> 00:25:37,060
+يجي واحد يقول لك كرة وزنها 200 جرام يصير عليها هذه
+
+311
+00:25:37,060 --> 00:25:42,140
+القوة الضخمة 180 مليون عشان الزمن القليل يعني طب
+
+312
+00:25:42,140 --> 00:25:48,580
+أنا وأسألكم سؤال الآن ما هي القوة اللي أثرت فيها
+
+313
+00:25:48,580 --> 00:25:54,640
+الكورة على الأرض؟ الثالث هذه القوة اللي لعبت على
+
+314
+00:25:54,640 --> 00:26:01,360
+الكورة نحسب الثالث نحسب في تجاه قواتكشوفوا الأرض
+
+315
+00:26:01,360 --> 00:26:06,860
+كلها أثرت الـ 181 والكورة برضه الـ 189 هذه الـ
+
+316
+00:26:06,860 --> 00:26:14,860
+Newton الثالث هذه الـ Newton الثالث تمام حكينا
+
+317
+00:26:14,860 --> 00:26:20,100
+أنه صار فيه crushing وحاجة صدمت بحاجة ونتج عندي
+
+318
+00:26:20,100 --> 00:26:25,280
+دفع الآن بدنا ندرس اتصاد نفسه إيش بده يصير فيه
+
+319
+00:26:25,280 --> 00:26:31,230
+تمام ال Collision ال process عملية ال Collision إيش
+
+320
+00:26:31,230 --> 00:26:36,490
+بعرفوها؟ بيقول represent the event يمثل حدث event
+
+321
+00:26:36,490 --> 00:26:40,690
+of two particles coming together in .. يعني أن
+
+322
+00:26:40,690 --> 00:26:45,050
+كانتان .. طبعًا coming together مش على خطرهم ولا
+
+323
+00:26:45,050 --> 00:26:48,610
+واحد .. ولا سيارة بتروح تسلم السيارة بخطرها لكن في
+
+324
+00:26:48,610 --> 00:26:53,210
+النهاية حدثوا وصاروا مع بعض ولا لأ اتصدموا وصاروا
+
+325
+00:26:53,210 --> 00:26:57,170
+مع بعض تمام؟ in contact for a short time لفترة
+
+326
+00:26:57,170 --> 00:27:01,470
+زمنية قصيرة جدًا producing impulse forces on each
+
+327
+00:27:01,470 --> 00:27:06,630
+other ما ظر اصطدموا مع بعض وفي قوة تصادم بينهم تمام
+
+328
+00:27:08,420 --> 00:27:12,520
+أخذنا المرة هذه أني أنا عندي التصادم يصير بين
+
+329
+00:27:12,520 --> 00:27:16,780
+جسمين ليس بين جسم لحاله هذول الجسمين system صاروا
+
+330
+00:27:16,780 --> 00:27:21,900
+مظبوط ولا لا؟ واتفقنا ك system ما فيش قوة خارجية
+
+331
+00:27:21,900 --> 00:27:27,060
+ممنوع ال center of mass تتغير صحيح ولا لا؟ هذا
+
+332
+00:27:27,060 --> 00:27:30,420
+اللي احنا أخذناه بمعنى آخر ال momentum تبعتهم
+
+333
+00:27:30,420 --> 00:27:34,100
+يتكون conservative برضه هذا أخذناه لأنه ما زال ال
+
+334
+00:27:34,100 --> 00:27:39,100
+force صفر الإخوان مش عارفون راحوا محيطوا ما زال F
+
+335
+00:27:39,100 --> 00:27:42,140
+بساوي 0 إذا دي بي على دي تي صفر إذا بي is
+
+336
+00:27:42,140 --> 00:27:45,340
+conserved حاجة اللي أخذناها بقول considering the
+
+337
+00:27:45,340 --> 00:27:48,900
+collided particles as one system جسمين اصطدموا مع
+
+338
+00:27:48,900 --> 00:27:52,580
+بعض اعتبرهم system واحد قوة التصادم خارجية ولا
+
+339
+00:27:52,580 --> 00:27:56,820
+داخلية داخلية إذا ما هي دعوة بال center of mass
+
+340
+00:27:57,880 --> 00:28:03,120
+القوة التي تنتج من ال Collision هي القوة الداخلية،
+
+341
+00:28:03,120 --> 00:28:08,200
+أمين، لذلك، في ال Collision، ممتلئ ممتلئ النظام قبل
+
+342
+00:28:08,200 --> 00:28:13,000
+ال Collision ممتلئ ممتلئ ممتلئ النظام بعد Collision،
+
+343
+00:28:13,000 --> 00:28:16,660
+وهذا ما أخذته، لأن هذا تطبيق على الشطر اللي جاب له،
+
+344
+00:28:16,660 --> 00:28:20,020
+ليس هناك قوة داخلية، فالممتلئ يجب أن يكون حافظ
+
+345
+00:28:20,020 --> 00:28:24,680
+عليه، إذا معناته، إيش الممتلئ قبل اتصاده، هم كم
+
+346
+00:28:24,680 --> 00:28:29,540
+جسيم؟ اثنين إذا ال momentum لل system هي مجموعة اثنين
+
+347
+00:28:29,540 --> 00:28:36,060
+momentum وبالتالي ال momentum قبل التصادم M الأول
+
+348
+00:28:36,060 --> 00:28:41,200
+في السرعة الإبتدائية زائد M2 في السرعة الإبتدائية
+
+349
+00:28:41,200 --> 00:28:45,040
+قبل التصادم أيضًا بيساوي ال momentum بعد التصادم ال
+
+350
+00:28:45,040 --> 00:28:51,240
+M ضالك M ال V اتغيرت V واحد فين زائد M2 V2 فين هذا
+
+351
+00:28:51,240 --> 00:28:56,600
+هو ما يقول ال B initial بيساوي B fine مظبوط يكون ولا
+
+352
+00:28:56,600 --> 00:29:01,650
+لأ؟ هي نفس القانون إيش إيليشا لو إيش فاينة؟ قبل
+
+353
+00:29:01,650 --> 00:29:06,010
+التصادم وبعد التصادم هذه هي يعني initial before
+
+354
+00:29:06,010 --> 00:29:09,630
+collision final after collision ولما أقول before
+
+355
+00:29:09,630 --> 00:29:13,150
+collision أنا بقصد فيها just before collision just
+
+356
+00:29:13,150 --> 00:29:17,070
+before collision و final just after collision يعني
+
+357
+00:29:17,070 --> 00:29:20,790
+أنا أدرس عملية الآن التصادم اللي صارت في هذه
+
+358
+00:29:20,790 --> 00:29:24,730
+المكان وفي هذه الفترة الزمنية بعد كده إيش صار في
+
+359
+00:29:24,730 --> 00:29:28,310
+الجسم؟ قبل كده وين كان الجسم؟ مال يجعوا فيه يعني
+
+360
+00:29:28,310 --> 00:29:31,700
+السيارة قبل ما تصطدم في شارع الجلاء، ما هي جاية من
+
+361
+00:29:31,700 --> 00:29:35,380
+جباليا، شيء اللي فيها أنا بالمهم عند .. وفي شارع
+
+362
+00:29:35,380 --> 00:29:39,000
+الجلاء الصدمات قدش كانت صرحتها في هذه اللحظة أنا
+
+363
+00:29:39,000 --> 00:29:41,920
+هاجب أدرسهم أما في جباليا كانت سريعة، كانت بطيئة،
+
+364
+00:29:41,920 --> 00:29:45,360
+كانت وادفة، ما لي دعوة فيها تمام؟ و .. و .. و هكذا
+
+365
+00:29:45,360 --> 00:29:49,560
+according to the conservation طيب الكائنات ال
+
+366
+00:29:49,560 --> 00:29:53,400
+energy بيقول لي الكائنات ال energy مش دائمًا بتكون
+
+367
+00:29:53,400 --> 00:29:59,860
+بحفوظة أو ال energy فرا هو صنفه التصادم إلى نوعين
+
+368
+00:29:59,860 --> 00:30:06,380
+بلاقي على مارينو غير مارينو حسب طاقة الحركة
+
+369
+00:30:06,380 --> 00:30:09,580
+كونزيرد أو مش كونزيرد فبقولي according to the
+
+370
+00:30:09,580 --> 00:30:12,600
+conservation of كائنة ال energy two types of
+
+371
+00:30:12,600 --> 00:30:15,380
+Collision will be considered عندك نوعين
+
+372
+00:30:15,380 --> 00:30:20,240
+الاستكولوجين في ال Elastic كل جنية بناءت وغالبا
+
+373
+00:30:20,240 --> 00:30:24,500
+بالواقع ما يحصل، بس بيحصل في الشغلات الداخلية،
+
+374
+00:30:24,500 --> 00:30:28,620
+النووية للذات، تمام؟ In elastic, the kinetic
+
+375
+00:30:28,620 --> 00:30:31,600
+energy of the system is conserved ال kinetic
+
+376
+00:30:31,600 --> 00:30:36,000
+energy إيش بيساوي؟ مصقن فيه تربيع، عندي جسمي ال
+
+377
+00:30:36,000 --> 00:30:39,160
+total energy ال kinetic energy للأول زي ال kinetic
+
+378
+00:30:39,160 --> 00:30:43,480
+energy للتالي، فبصير هذا ليه؟ ال Kinetic energy
+
+379
+00:30:43,480 --> 00:30:48,500
+الأولى زي Kinetic energy الثانية قبل التصادم بسبب
+
+380
+00:30:48,500 --> 00:30:53,320
+Kinetic energy الزقام بعد التصادم، سهل يوردي مثل
+
+381
+00:30:53,320 --> 00:30:59,940
+هذا الموضوع في ال inelastic Collision بيقول لي أن
+
+382
+00:30:59,940 --> 00:31:03,460
+inelastic Collision the kinetic energy of the
+
+383
+00:31:03,460 --> 00:31:07,660
+system is not conserved طب وين راحت؟ بيقول لي the
+
+384
+00:31:07,660 --> 00:31:10,980
+loss of kinetic energy is expressed as اللي هو
+
+385
+00:31:10,980 --> 00:31:14,800
+هتكون عندك دلتا كيه ال final غير عن ال initial في
+
+386
+00:31:14,800 --> 00:31:18,280
+ال Elastic دلتا كيه جد إيش؟ في ال Elastic صفر ..
+
+387
+00:31:18,280 --> 00:31:19,080
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+388
+00:31:19,080 --> 00:31:19,720
+صفر .. صفر .. صفر .. صفر .. صفر .. صفر .. صفر ..
+
+
+431
+00:34:07,030 --> 00:34:13,410
+تمام عشان نركز على الشغلات المهمة اللي بنتيجي من
+
+432
+00:34:13,410 --> 00:34:17,510
+الامتحان، ما هو .. اللي بنتيجي من الامتحان، حاضر،
+
+433
+00:34:17,510 --> 00:34:21,930
+من عملها من شمسة لواحد وشمسة لخمسة، تمام هليت؟
+
+434
+00:34:21,930 --> 00:34:26,910
+طبعا واحنا يا بناة في عيننا موضوعين احنا، خلينا
+
+435
+00:34:26,910 --> 00:34:33,830
+نقول كالتالي، هذه هذه Momentum is Conserved دائما هذه
+
+436
+00:34:33,830 --> 00:34:37,870
+كيناتك Energy مرات بتكون Conserved إذا كان Elastic
+
+437
+00:34:37,870 --> 00:34:41,990
+ومرات مش Conserved إذا مش Conserved هذي مال يدعو
+
+438
+00:34:41,990 --> 00:34:45,970
+فيها يبطل أن أنا محتاجها الهواء
+
+439
+00:34:47,260 --> 00:34:50,620
+الانصاص لما تكون بتديها اه طيب هالي بدنا نتعلمها
+
+440
+00:34:50,620 --> 00:34:54,800
+معاشرة انا بنافق يديا طبعا ماني معروفة بس نص
+
+441
+00:34:54,800 --> 00:34:57,640
+خليناها عشان أنا كارنة الـ energy فاذا بدك تعدي
+
+442
+00:34:57,640 --> 00:35:02,380
+معادلات وتحليها جيب الانصاص طبعا طبعا يا بنادر
+
+443
+00:35:02,380 --> 00:35:06,160
+ايش ميزة هدا عن هدا هدا بكتر ولا scalars؟ بكتر ..
+
+444
+00:35:06,160 --> 00:35:08,360
+بكتر .. بكتر .. بكتر .. بكتر .. بكتر .. بكتر ..
+
+445
+00:35:08,360 --> 00:35:09,600
+بكتر .. بكتر .. بكتر .. بكتر .. بكتر .. بكتر ..
+
+446
+00:35:09,600 --> 00:35:13,500
+بكتر .. بكتر .. بكتر .. بكتر .. بكتر .. بكتر .. بك
+
+447
+00:35:14,010 --> 00:35:20,970
+هذه هي فكرة وهل دائما السلطة جابت تصادم مع تصادم
+
+448
+00:35:20,970 --> 00:35:26,520
+بتكون نفس الاتجاه؟ تمام؟ حدث إنه والله واحد جاي من
+
+449
+00:35:26,520 --> 00:35:29,760
+شارع الوحدة وواحد جاي من شارع النصر وراح أصطدمه
+
+450
+00:35:29,760 --> 00:35:33,160
+واحد في شارع والتاني في شارع تمام؟ إذا خلّيني
+
+451
+00:35:33,160 --> 00:35:37,140
+أقول شارع الوحدة Y وشارع النصر X معناته عندي two
+
+452
+00:35:37,140 --> 00:35:40,840
+dimensions صحيح ولا لأ؟ طيب، بعد التصادم أين بدنا
+
+453
+00:35:40,840 --> 00:35:45,020
+نروحه؟ الله أعلم إذا واحد يروح هنا ولا واحد يروح
+
+454
+00:35:45,020 --> 00:35:50,040
+هنا تمام؟ إذا مرار مازال أنا بتعامل هنا مع vectors
+
+455
+00:35:50,040 --> 00:35:55,030
+بالـ DNP للاتجاهات تمام؟ وفي الأصل لما كتبت هذا
+
+456
+00:35:55,030 --> 00:35:59,940
+القانون يا بناتيمش هالي جسمته لقنين واحد C واحد
+
+457
+00:35:59,940 --> 00:36:04,120
+صابي هذه القانون ممكن أجسمها لقنين واحد C واحد
+
+458
+00:36:04,120 --> 00:36:09,380
+صابي تمام؟ تمام قللي واحدة واحدة علينا أول بدي
+
+459
+00:36:09,380 --> 00:36:13,740
+أعتبر بالـ one dimension اهب زي حكاية الكرة أنا
+
+460
+00:36:13,740 --> 00:36:17,960
+what one dimension تصادم نفترض فلو كانت تصادم one
+
+461
+00:36:17,960 --> 00:36:20,960
+dimension أسهل لي صحيح؟ خليني أشوف
+
+462
+00:36:24,570 --> 00:36:29,270
+إذاً one dimensional elastic كل جيل وelastic يعني
+
+463
+00:36:29,270 --> 00:36:32,350
+الكائنات الـ energy is conserved إيش المشكلة يا بنت
+
+464
+00:36:32,350 --> 00:36:35,990
+هو بيصيب بعد كده؟ إن أنا شاطر فاعرف إن المهمة مش
+
+465
+00:36:35,990 --> 00:36:39,150
+conserved حطيتها الكائنات الـ energy قال لي elastic
+
+466
+00:36:39,150 --> 00:36:42,510
+حطيتها بقتلع عندي مجهولين وعندي معادلتين، أي
+
+467
+00:36:42,510 --> 00:36:46,610
+مشكلة؟ لأ، هاي المعادلة ومعادلة وفي الجبر علمونا
+
+468
+00:36:46,610 --> 00:36:50,110
+عدد المعادلة بتساوي عدد المجاهيل شامل واشتغل، بتفتغ
+
+469
+00:36:50,110 --> 00:36:55,010
+تشتغل، صح ولا لأ؟ تمام؟ المشكلة وين؟ التشميرة، أنه
+
+470
+00:36:55,010 --> 00:36:59,590
+هل بطلع جواب على قول ولا بتتغلب كام مشكلة عندك؟ أن
+
+471
+00:36:59,590 --> 00:37:04,230
+الأولى Linear خطية، التانية
+
+472
+00:37:06,710 --> 00:37:10,830
+Double .. Double .. بالتالي بدي أقعد أكبر أو أقعد
+
+473
+00:37:10,830 --> 00:37:13,290
+أعمل .. مش دائما سيارة مثلها .. فبالتالي بديها
+
+474
+00:37:13,290 --> 00:37:16,250
+تشميلة بمعنى الكلمة .. اه مرات بتكون الحلقة طوية
+
+475
+00:37:16,250 --> 00:37:20,630
+.. احنا مش .. مش هنخليكم الطاولة في حالنا ..
+
+476
+00:37:20,630 --> 00:37:25,410
+بيقول لي طبعا بما أنه one dimension ليس لدي معادلة
+
+477
+00:37:25,410 --> 00:37:29,590
+واحدة سينية أو صينية بيقول إيه؟ if the collision
+
+478
+00:37:29,590 --> 00:37:32,050
+is one dimensional we have only one component ليس
+
+479
+00:37:32,050 --> 00:37:36,410
+لدي مركبة واحدة سهلت عليها for velocities and the
+
+480
+00:37:36,410 --> 00:37:39,390
+conservation of linear momentum تبقى بعد تلت حط
+
+481
+00:37:39,390 --> 00:37:42,990
+فيكتور كانت هناك bolt إذا كنت تذكرينها في المعادلة
+
+482
+00:37:42,990 --> 00:37:45,750
+اللي جابلها يعني مش هذه معادلة وهذه معادلة هي نفس
+
+483
+00:37:45,750 --> 00:37:48,130
+المعادلة لكن هذه one dimension راحت اتجاه الـ
+
+484
+00:37:48,130 --> 00:37:52,840
+vector جالي كذا كذا جالي بما أنها elastic طبعا هنا
+
+485
+00:37:52,840 --> 00:37:54,640
+بالدين الملاحظ بيقول لي in applying the above
+
+486
+00:37:54,640 --> 00:37:57,580
+equation بيقول لي هه the one dimension بس أنت بيه
+
+487
+00:37:57,580 --> 00:38:01,160
+أنت أخدت اتجاه مودة بس كان عكس بيحط سالف مظبوط ولا
+
+488
+00:38:01,160 --> 00:38:04,820
+لا؟ أنا في النهاية اه سيني لكن سيني ممكن يكون مودة
+
+489
+00:38:04,820 --> 00:38:08,760
+وممكن يكون سالف صادم فوق وفيه تحت بيقول لي in
+
+490
+00:38:08,760 --> 00:38:10,940
+applying the above equation we have to take into
+
+491
+00:38:10,940 --> 00:38:13,640
+account ده يتاخد فعلا اعتبار the sign of the
+
+492
+00:38:13,640 --> 00:38:18,240
+speech الإشارات حيكون عندك مودة وسالف V is positive
+
+493
+00:38:18,240 --> 00:38:22,300
+if the body moves to the right أو تجاه الأموجة and
+
+494
+00:38:22,300 --> 00:38:25,820
+is negative if the body moves to the left أو العكس
+
+495
+00:38:25,820 --> 00:38:29,700
+تمام، أقولها الآن، أقول لك elastic collision let
+
+496
+00:38:29,700 --> 00:38:32,680
+us consider an elastic collision between two
+
+497
+00:38:32,680 --> 00:38:36,740
+particles one particle where طبعا V1 initial و V2
+
+498
+00:38:36,740 --> 00:38:40,960
+initial، بالتالي صار عندي هذه القانون الأول عدته،
+
+499
+00:38:40,960 --> 00:38:45,630
+وبالتالي اشتغلت جالي أنا حطيتها جالي هاجد في عندك
+
+500
+00:38:45,630 --> 00:38:49,110
+particle بمشي بسرعة ابتدائية مقدرة D1 initial
+
+501
+00:38:49,110 --> 00:38:54,930
+تمام؟ أمين and the other particle of mass M2 moves
+
+502
+00:38:54,930 --> 00:38:59,750
+with speed D2 initial حطيت المعادلات جالي مينفعش
+
+503
+00:38:59,750 --> 00:39:04,850
+حرام الـ M1 والـ M2 هتلم بعيدين عن بعض لملمهم بعض عشان
+
+504
+00:39:04,850 --> 00:39:09,930
+ألممهم هذه بدي أجيبها هنا عشان أخد عامة مشتركة و
+
+505
+00:39:09,930 --> 00:39:14,610
+هذه الغالبانة بدي أحطها هناتمام؟ مصاريشي؟ بتشتغل
+
+506
+00:39:14,610 --> 00:39:18,210
+رياضية عشان أنا أقدر أحل واحد بيقول ليه؟ بيقول أنا
+
+507
+00:39:18,210 --> 00:39:22,330
+مجهولين، أنا الآن يا بناتي، بدي أعتبر أن في واحد
+
+508
+00:39:22,330 --> 00:39:23,750
+initial وفيكي initial معطيان
+
+509
+00:39:28,350 --> 00:39:32,810
+مشغولين بدي معادلتين معادلتين ممتدين conservation
+
+510
+00:39:32,810 --> 00:39:35,690
+of momentum معادلة و conservation of kinetic
+
+511
+00:39:35,690 --> 00:39:38,650
+energy معادلة بس الـ conservation of kinetic energy
+
+512
+00:39:38,650 --> 00:39:42,630
+مشكلتها أنها squared وبالتالي عشان تتعامل مع حاجات
+
+513
+00:39:42,630 --> 00:39:46,150
+استخدمت مهارة مهارة خدها في المدارس يعني في
+
+514
+00:39:46,150 --> 00:39:49,130
+الأخرها اللي بعدين بنلعب لعب بيعمل ديم و ودي وعمل
+
+515
+00:39:49,130 --> 00:39:53,360
+مشترك يعني مش صنعة جالي هذه المعادلة بعد ما رتبتها
+
+516
+00:39:53,360 --> 00:39:57,260
+وحليتها هكذا وحط رقم واحد ورميها طيب رميناها
+
+517
+00:39:57,260 --> 00:40:01,080
+.. بيقول if your quantum of energy is elastic ..
+
+518
+00:40:01,080 --> 00:40:07,140
+إذا بقاينة الإنرجي .. إذا بقاينة الإنرجي .. إذا
+
+519
+00:40:07,140 --> 00:40:12,000
+بقاينة الإنرجي .. إذا بقاينة الإنرجي .. إذا بقاينة
+
+520
+00:40:12,000 --> 00:40:12,160
+الإنرجي .. إذا بقاينة الإنرجي .. إذا بقاينة
+
+521
+00:40:12,160 --> 00:40:13,160
+الإنرجي .. إذا بقاينة الإنرجي .. إذا بقاينة
+
+522
+00:40:13,160 --> 00:40:14,700
+الإنرجي .. إذا بقاينة الإنرجي .. إذا بقاينة
+
+523
+00:40:14,700 --> 00:40:19,060
+الإنرجي .. إذا بقاينة الإنرجي .. إذا بقاينة الإنرج
+
+524
+00:40:21,070 --> 00:40:27,030
+هنا بس تربيع بس تربيع هذا في مشكلة يا بنا؟ لأ لأ
+
+525
+00:40:27,030 --> 00:40:34,070
+برضه هذه جيتها وهذه ضيعت كوارثيتها هنا طبعا الأولى
+
+526
+00:40:34,070 --> 00:40:38,970
+بتسأل أكتبها أنا جنت M1 في V1 initial نقص V ..
+
+527
+00:40:38,970 --> 00:40:45,550
+sorry V1 initial وهذه V1 final تساوي M2 V1 final
+
+528
+00:40:45,550 --> 00:40:53,090
+ناقص V2 initial وها جيه طريقة كيف؟ كم بدي أعملها؟
+
+529
+00:40:53,090 --> 00:40:56,730
+هجيه أقول الله قبل ما نجسميها على بعض نهاجمها
+
+530
+00:40:56,730 --> 00:40:59,990
+نجسمهم على بعض عشان هذه الفكرة فارخ من المربعين،
+
+531
+00:40:59,990 --> 00:41:02,910
+تمام؟ وهذا كله شغل، هجيه فكيف؟
+
+532
+00:41:11,840 --> 00:41:15,060
+هذه مهارة .. هذي اثبات يا ورني كديش بالصحب الشغلال
+
+533
+00:41:15,060 --> 00:41:19,740
+.. خلتوها اثبات .. هذي سؤال جبر في أول أعدادي بيجي
+
+534
+00:41:19,740 --> 00:41:24,980
+.. والله في أول أعدادي ممكن يجي سؤال زي هذا ..
+
+535
+00:41:24,980 --> 00:41:28,160
+جبر
+
+536
+00:41:28,160 --> 00:41:35,360
+.. سؤال جبر .. جالي هاي معادلة رقم 2 طبعا لو شخص
+
+537
+00:41:35,360 --> 00:41:38,760
+شغال على طول أنه جاب واحد وبيدخل ثاني وروح رابط
+
+538
+00:41:38,760 --> 00:41:42,300
+بعض، السؤال بيصعب كثير عنده، بيطول كثير، وبالتالي
+
+539
+00:41:42,300 --> 00:41:46,300
+هذه المهارة عشان تقلل الـ math ما تستبع السؤال، مش
+
+540
+00:41:46,300 --> 00:41:51,920
+أكثر، جالي defining equation two by one، بعدين
+
+541
+00:41:51,920 --> 00:41:52,340
+ينكمل
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/txx5jeYJzW4_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/txx5jeYJzW4_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a89ded5fbaf11955b7e1e3c0033c85ec5b76320e
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/txx5jeYJzW4_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4747, "start": 21.01, "end": 47.47, "text": "نسمى بسم الله الرحمن الرحيم و نبدأ بال chapter التاسع ال chapter التاسع هو نفس ال chapter التامن لسه .. لسه .. لما نهت الفصل خلص ضايق أربع أسبوع غير هذا الأسبوع خلص لما نخلص بتانية؟ آه خلص ضايق فقط أربع أسبوع تدريس غير هذا الأسبوع لما نخلص بتانية؟ تمام و احنا ضايقنا أربع أسبوع لما نخلص أربع أسبوع", "tokens": [1863, 38251, 7578, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 8717, 44510, 10721, 20666, 7187, 16712, 32277, 3615, 2423, 7187, 16712, 32277, 3615, 31439, 8717, 36178, 2423, 7187, 16712, 10943, 1863, 5296, 3794, 3224, 4386, 5296, 3794, 3224, 4386, 5296, 15042, 8717, 3224, 2655, 27188, 36520, 16490, 1211, 9381, 48812, 47302, 4587, 5551, 25513, 3615, 5551, 35457, 45367, 32771, 13546, 23758, 16247, 35457, 45367, 16490, 1211, 9381, 5296, 15042, 8717, 9778, 1211, 9381, 39894, 7649, 10632, 22807, 19753, 3224, 16490, 1211, 9381, 48812, 47302, 4587, 6156, 47432, 5551, 25513, 3615, 5551, 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{"start": 260.38, "end": 260.44, "word": " ما", "probability": 0.51318359375}, {"start": 260.44, "end": 260.62, "word": " هي", "probability": 0.78515625}, {"start": 260.62, "end": 260.92, "word": " T", "probability": 0.58154296875}, {"start": 260.92, "end": 261.36, "word": " تربيع", "probability": 0.9342041015625}, {"start": 261.36, "end": 261.68, "word": " صحيح", "probability": 0.899658203125}, {"start": 261.68, "end": 261.82, "word": " ولا", "probability": 0.77734375}, {"start": 261.82, "end": 262.28, "word": " لأ؟", "probability": 0.8369140625}, {"start": 262.28, "end": 262.72, "word": " تمام", "probability": 0.866943359375}, {"start": 262.72, "end": 263.0, "word": " لكن", "probability": 0.71533203125}, {"start": 263.0, "end": 263.5, "word": " القوة", "probability": 0.9939778645833334}, {"start": 263.5, "end": 264.24, "word": " تشيك", "probability": 0.5093994140625}, {"start": 264.24, "end": 266.22, "word": " غالبا", "probability": 0.9173583984375}, {"start": 266.22, "end": 266.68, "word": " فبقول", "probability": 0.8577473958333334}, {"start": 266.68, "end": 266.94, "word": " as", "probability": 0.5732421875}, {"start": 266.94, "end": 267.14, "word": " the", "probability": 0.85400390625}, {"start": 267.14, "end": 267.46, "word": " force", "probability": 0.9609375}, {"start": 267.46, "end": 267.8, "word": " varies", "probability": 0.96240234375}, {"start": 267.8, "end": 268.02, "word": " with", "probability": 0.921875}, {"start": 268.02, "end": 268.78, "word": " time", "probability": 0.8544921875}, {"start": 268.78, "end": 269.32, "word": " القوة", "probability": 0.9500325520833334}, {"start": 269.32, "end": 269.74, "word": " بتضايق", "probability": 0.758056640625}, {"start": 269.74, "end": 269.88, "word": " مع", "probability": 0.9892578125}, {"start": 269.88, "end": 270.2, "word": " الزمان", "probability": 0.84130859375}], "temperature": 1.0}, {"id": 11, "seek": 28789, "start": 272.26, "end": 287.9, "text": "بدي أديب الـ Average عشان أريح حالي و مضلنيش أكامل و أغلب حالة التكامل نستطيع أن ندفع الـ Average Force كـ J التي هي DB ما زال هذي Average و الـ Average ثادق بيكون", "tokens": [3555, 16254, 5551, 3215, 1829, 3555, 2423, 39184, 316, 3623, 6225, 8592, 7649, 5551, 16572, 5016, 11331, 6027, 1829, 4032, 3714, 11242, 1211, 22653, 8592, 5551, 4117, 10943, 1211, 4032, 5551, 17082, 46152, 11331, 6027, 3660, 16712, 4117, 10943, 1211, 8717, 14851, 9566, 40228, 14739, 8717, 3215, 5172, 3615, 2423, 39184, 316, 3623, 10580, 9122, 39184, 508, 38392, 39896, 26754, 19446, 30767, 6027, 8032, 8848, 1829, 316, 3623, 4032, 2423, 39184, 316, 3623, 38637, 18513, 4587, 4724, 1829, 30544], "avg_logprob": -0.4378906335681677, "compression_ratio": 1.5389221556886228, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 272.26, "end": 272.82, "word": "بدي", "probability": 0.47149658203125}, {"start": 272.82, "end": 273.36, "word": " أديب", "probability": 0.42437744140625}, {"start": 273.36, "end": 273.52, "word": " الـ", "probability": 0.797119140625}, 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"end": 285.16, "word": " هذي", "probability": 0.58642578125}, {"start": 285.16, "end": 285.64, "word": " Average", "probability": 0.6964111328125}, {"start": 285.64, "end": 286.42, "word": " و", "probability": 0.343994140625}, {"start": 286.42, "end": 286.56, "word": " الـ", "probability": 0.77099609375}, {"start": 286.56, "end": 286.94, "word": " Average", "probability": 0.925048828125}, {"start": 286.94, "end": 287.44, "word": " ثادق", "probability": 0.77099609375}, {"start": 287.44, "end": 287.9, "word": " بيكون", "probability": 0.7997233072916666}], "temperature": 1.0}, {"id": 12, "seek": 31345, "start": 288.09, "end": 313.45, "text": "يعني بيبطل انه بيتغير بمعنى اخر انا عنده قوة بتتغير مع الزمان مرة كانت عشرة و مرة كانت تلاتة و مرة صارت عشرين و مرة صارت خمسة و عشرين اتغيرت ولا اتغيرت ايش؟ اتغيرت طيب تقدروا تجيبوا ال average لها؟ اه ال average كقيمة بتتغير؟ لأ بذلك لأ بذلك بطلعه برا ك average فصار ال average ايش تخموني تديتي؟ T من final ل initial قلع تدتي زي ال V", "tokens": 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"probability": 0.44354248046875}], "temperature": 1.0}, {"id": 50, "seek": 116274, "start": 1145.78, "end": 1162.74, "text": "هذه 0 وهذه نصفا في final تربيع لكن هي initial للتصادم هي initial للتصادم هذه نهاية الحركة بالنسبة للتصادم قبل التصادم لذلك وضعتها initial", "tokens": [3224, 24192, 1958, 37037, 24192, 8717, 9381, 5172, 995, 8978, 2572, 6055, 2288, 21292, 3615, 44381, 39896, 5883, 24976, 2655, 9381, 18513, 2304, 39896, 5883, 24976, 2655, 9381, 18513, 2304, 29538, 8717, 11296, 10632, 21542, 31747, 3660, 20666, 1863, 35457, 3660, 24976, 2655, 9381, 18513, 2304, 12174, 36150, 16712, 9381, 18513, 2304, 5296, 8848, 23275, 4032, 11242, 34268, 11296, 5883], "avg_logprob": -0.35194671544872347, "compression_ratio": 1.6592592592592592, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1145.78, "end": 1146.28, "word": "هذه", "probability": 0.890625}, {"start": 1146.28, "end": 1146.78, "word": " 0", "probability": 0.10791015625}, {"start": 1146.78, "end": 1148.14, "word": " 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اتصاله تمام؟ فبكتر اقول ان انا عم روحت في initial بالساوية TGH و ال H 1.8 و ال G كلها بتعرفها و ال calculator طلعتها 5.94 meter per second في مشكلة؟", "tokens": [40228, 22653, 16472, 2655, 14407, 6055, 8592, 38688, 14407, 8032, 995, 16254, 1975, 8315, 6225, 2304, 6225, 2407, 11242, 1975, 8315, 11331, 1211, 8032, 995, 16254, 44381, 8032, 995, 16254, 2572, 5296, 5016, 31747, 3660, 31439, 8717, 31377, 1211, 4032, 5883, 5296, 5016, 31747, 3660, 1975, 2655, 9381, 6027, 3224, 46811, 10943, 22807, 6156, 3555, 4117, 2655, 2288, 1975, 39648, 16472, 1975, 8315, 6225, 2304, 12602, 2407, 33753, 8978, 5883, 20666, 3794, 995, 2407, 10632, 314, 4269, 4032, 2423, 389, 502, 13, 23, 4032, 2423, 460, 28242, 11296, 39894, 3615, 28480, 11296, 4032, 2423, 24993, 23032, 1211, 34268, 11296, 1025, 13, 27032, 9255, 680, 1150, 8978, 37893, 28820, 3660, 22807], "avg_logprob": -0.30320945086779894, "compression_ratio": 1.5914893617021277, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 1165.28, 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"word": " per", "probability": 0.9453125}, {"start": 1186.82, "end": 1187.52, "word": " second", "probability": 0.9267578125}, {"start": 1187.52, "end": 1188.14, "word": " في", "probability": 0.51220703125}, {"start": 1188.14, "end": 1188.72, "word": " مشكلة؟", "probability": 0.95166015625}], "temperature": 1.0}, {"id": 52, "seek": 121156, "start": 1189.52, "end": 1211.56, "text": "إذن هي أول واحدة من الكائنات الفنسانية المعطيات طلعتها جالي طب ال ED final هو لما جالي the ball rebound vertically to a height of 1.2 متر أقصى ارتفاع وصمته هذه صح ولا لا؟ طيب هذه كائنة ال ED كان لهو طالع", "tokens": [28814, 8848, 1863, 39896, 5551, 12610, 36764, 24401, 3660, 9154, 33251, 16373, 8315, 2655, 27188, 1863, 3794, 7649, 10632, 9673, 3615, 9566, 1829, 9307, 23032, 1211, 34268, 11296, 10874, 6027, 1829, 23032, 3555, 2423, 18050, 2572, 31439, 5296, 15042, 10874, 6027, 1829, 264, 2594, 31850, 28450, 281, 257, 6681, 295, 502, 13, 17, 44650, 2288, 5551, 4587, 9381, 7578, 1975, 43500, 5172, 45761, 4032, 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considering the collided particles as one system جسمين أصطادموا مع بعض أعتبرهم system واحد قوة التصادم خارجية ولا داخلية داخلية إذا ماهاش دعوة بال center of mass", "tokens": [6027, 10721, 9778, 2407, 7649, 37893, 6225, 9640, 5172, 11536, 12602, 39319, 14407, 3714, 5016, 1829, 9566, 14407, 19446, 30767, 6027, 479, 4724, 3794, 995, 45865, 1958, 11933, 15730, 11778, 1829, 4724, 1829, 15844, 11778, 1829, 6055, 1829, 8608, 5172, 2288, 11933, 15730, 4724, 1829, 307, 1014, 6913, 11331, 26108, 3660, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 4724, 39648, 8079, 264, 1263, 2112, 10007, 382, 472, 1185, 10874, 38251, 9957, 5551, 9381, 9566, 18513, 2304, 14407, 20449, 45030, 11242, 5551, 34268, 26890, 16095, 1185, 36764, 24401, 12174, 2407, 3660, 16712, 9381, 18513, 2304, 16490, 9640, 7435, 10632, 49429, 11778, 47283, 1211, 10632, 11778, 47283, 1211, 10632, 11933, 15730, 19446, 3224, 33599, 11778, 3615, 2407, 3660, 20666, 3056, 295, 2758], "avg_logprob": -0.32257232784239714, "compression_ratio": 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diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/ujO3cklmHOY_raw.json b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/ujO3cklmHOY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..19ebc6221edd5c09720847600baca699869f8a2e
--- /dev/null
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@@ -0,0 +1 @@
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{"start": 2690.89, "end": 2691.61, "word": " وقصان", "probability": 0.8485107421875}, {"start": 2691.61, "end": 2691.97, "word": " زاوية", "probability": 0.96044921875}, {"start": 2691.97, "end": 2692.53, "word": " 90،", "probability": 0.695068359375}, {"start": 2692.53, "end": 2692.93, "word": " Zero", "probability": 0.31494140625}, {"start": 2692.93, "end": 2693.95, "word": " فبالتالي", "probability": 0.8696695963541666}, {"start": 2693.95, "end": 2694.27, "word": " بحط", "probability": 0.8668619791666666}, {"start": 2694.27, "end": 2694.37, "word": " فيه", "probability": 0.3629150390625}, {"start": 2694.37, "end": 2694.69, "word": " مزاوية", "probability": 0.81953125}, {"start": 2694.69, "end": 2694.99, "word": " Zero", "probability": 0.93994140625}], "temperature": 1.0}, {"id": 110, "seek": 272515, "start": 2697.97, "end": 2725.15, "text": "طبعا السؤال الرابع لو شفتواه أحد أسلوب الكتاب دي التابع السؤال الرابع اللي كنا حاطيله هو السؤال رقم 23 في الكتاب، جايبينه نفسه، السفر أربعة، السفر أربعة، جايبينه سؤال 23، نفسه، بس مخففينه، بيقول what is the magnitude of F؟ يعني من الفرع الأول منه", "tokens": [9566, 3555, 3615, 995, 21136, 33604, 6027, 34892, 16758, 3615, 45164, 13412, 5172, 2655, 14407, 3224, 5551, 24401, 5551, 3794, 1211, 37746, 33251, 2655, 16758, 11778, 1829, 16712, 16758, 3615, 21136, 33604, 6027, 34892, 16758, 3615, 13672, 1829, 9122, 8315, 11331, 41193, 26895, 3224, 31439, 21136, 33604, 6027, 12602, 4587, 2304, 6673, 8978, 33251, 2655, 16758, 12399, 10874, 47302, 3555, 9957, 3224, 8717, 36178, 3224, 12399, 21136, 5172, 2288, 5551, 25513, 27884, 12399, 21136, 5172, 2288, 5551, 25513, 27884, 12399, 10874, 47302, 3555, 9957, 3224, 8608, 33604, 6027, 6673, 12399, 8717, 36178, 3224, 12399, 4724, 3794, 3714, 9778, 5172, 5172, 9957, 3224, 12399, 4724, 1829, 39648, 437, 307, 264, 15668, 295, 479, 22807, 37495, 22653, 9154, 27188, 2288, 3615, 16247, 12610, 9154, 3224], "avg_logprob": -0.24647177563559625, "compression_ratio": 1.8883928571428572, 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الامتحان نفسه وفي سؤال project ال motion جايبينه سؤال particle ضربته من ارتفاع هيك و نزل هناك", "tokens": [3794, 33604, 6027, 6673, 23758, 10874, 47302, 3555, 9957, 3224, 8978, 2423, 10943, 2655, 5016, 7649, 8717, 36178, 3224, 4032, 41185, 8608, 33604, 6027, 1716, 2423, 5394, 10874, 47302, 3555, 9957, 3224, 8608, 33604, 6027, 12359, 48812, 25513, 47395, 9154, 1975, 43500, 5172, 45761, 39896, 4117, 4032, 8717, 11622, 1211, 34105, 4117], "avg_logprob": -0.21403301661869265, "compression_ratio": 1.3722627737226278, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2726.17, "end": 2726.47, "word": "سؤال", "probability": 0.9246419270833334}, {"start": 2726.47, "end": 2726.91, "word": " 23", "probability": 0.8212890625}, {"start": 2726.91, "end": 2727.41, "word": " هذا", "probability": 0.66455078125}, {"start": 2727.41, "end": 2729.65, "word": " جايبينه", "probability": 0.87626953125}, {"start": 2729.65, "end": 2729.77, "word": " في", "probability": 0.9716796875}, {"start": 2729.77, "end": 2730.21, "word": " الامتحان", "probability": 0.889453125}, {"start": 2730.21, "end": 2731.45, "word": " نفسه", "probability": 0.9973958333333334}, {"start": 2731.45, "end": 2732.19, "word": " وفي", "probability": 0.4483642578125}, {"start": 2732.19, "end": 2732.71, "word": " سؤال", "probability": 0.9724934895833334}, {"start": 2732.71, "end": 2733.15, "word": " project", "probability": 0.66455078125}, {"start": 2733.15, "end": 2733.41, "word": " ال", "probability": 0.2471923828125}, {"start": 2733.41, "end": 2733.85, "word": " motion", "probability": 0.86669921875}, {"start": 2733.85, "end": 2735.39, "word": " جايبينه", "probability": 0.87744140625}, {"start": 2735.39, "end": 2736.45, "word": " سؤال", "probability": 0.9747721354166666}, {"start": 2736.45, "end": 2737.95, "word": " particle", "probability": 0.7841796875}, {"start": 2737.95, "end": 2738.67, "word": " ضربته", "probability": 0.9143880208333334}, {"start": 2738.67, "end": 2738.83, "word": " من", "probability": 0.99462890625}, {"start": 2738.83, "end": 2739.73, "word": " ارتفاع", "probability": 0.9302978515625}, {"start": 2739.73, "end": 2742.31, "word": " هيك", "probability": 0.45281982421875}, {"start": 2742.31, "end": 2742.85, "word": " و", "probability": 0.93798828125}, {"start": 2742.85, "end": 2743.15, "word": " نزل", "probability": 0.8546549479166666}, {"start": 2743.15, "end": 2743.65, "word": " هناك", "probability": 0.940185546875}], "temperature": 1.0}, {"id": 112, "seek": 275210, "start": 2744.78, "end": 2752.1, "text": "السرعة الإتجارية بيعطيكوا مياها والارتفاع هاجس بيعطيكوا مياها عبارة عن 50 متر", "tokens": [6027, 3794, 2288, 27884, 33688, 2655, 7435, 9640, 10632, 4724, 40228, 9566, 1829, 4117, 14407, 3714, 25528, 11296, 16070, 9640, 2655, 5172, 45761, 8032, 26108, 3794, 4724, 40228, 9566, 1829, 4117, 14407, 3714, 25528, 11296, 6225, 3555, 9640, 3660, 18871, 2625, 44650, 2288], "avg_logprob": -0.28320311077616434, "compression_ratio": 1.5, "no_speech_prob": 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"probability": 0.5073649088541666}, {"start": 2775.62, "end": 2775.82, "word": " حاجة", "probability": 0.5607503255208334}, {"start": 2775.82, "end": 2776.24, "word": " تنصف،", "probability": 0.768408203125}, {"start": 2776.24, "end": 2776.34, "word": " هم", "probability": 0.6663818359375}, {"start": 2776.34, "end": 2776.64, "word": " ينسوا", "probability": 0.7821044921875}, {"start": 2776.64, "end": 2777.36, "word": " السين،", "probability": 0.5485026041666666}, {"start": 2777.36, "end": 2777.56, "word": " يبقوا", "probability": 0.666015625}, {"start": 2777.56, "end": 2777.92, "word": " ستة", "probability": 0.4598795572916667}, {"start": 2777.92, "end": 2778.02, "word": " من", "probability": 0.37548828125}, {"start": 2778.02, "end": 2778.44, "word": " عشرة", "probability": 0.8976236979166666}], "temperature": 1.0}, {"id": 114, "seek": 278968, "start": 2778.92, "end": 2789.68, "text": "بروح عارفة على طول عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة عارفة", "tokens": [26890, 2407, 5016, 6225, 9640, 5172, 3660, 15844, 23032, 12610, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660, 6225, 9640, 5172, 3660], "avg_logprob": -0.19299450320201916, "compression_ratio": 5.622222222222222, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2778.92, "end": 2779.3, "word": "بروح", "probability": 0.6612141927083334}, {"start": 2779.3, "end": 2779.84, "word": " عارفة", "probability": 0.596710205078125}, {"start": 2779.84, "end": 2779.94, "word": " على", "probability": 0.77978515625}, {"start": 2779.94, "end": 2780.32, "word": " طول", "probability": 0.9873046875}, {"start": 2780.32, "end": 2780.9, "word": " عارفة", "probability": 0.628265380859375}, {"start": 2780.9, "end": 2781.24, "word": " عارفة", "probability": 0.71063232421875}, {"start": 2781.24, "end": 2781.24, "word": " عارفة", "probability": 0.83050537109375}, {"start": 2781.24, "end": 2781.58, "word": " عارفة", "probability": 0.8507080078125}, {"start": 2781.58, "end": 2781.86, "word": " عارفة", "probability": 0.888916015625}, {"start": 2781.86, "end": 2781.86, "word": " عارفة", "probability": 0.9197998046875}, {"start": 2781.86, "end": 2782.52, "word": " عارفة", "probability": 0.9443359375}, {"start": 2782.52, "end": 2782.52, "word": " عارفة", "probability": 0.9610595703125}, {"start": 2782.52, "end": 2782.72, "word": " عارفة", "probability": 0.971923828125}, {"start": 2782.72, "end": 2782.92, "word": " عارفة", "probability": 0.978515625}, {"start": 2782.92, "end": 2782.94, "word": " عارفة", "probability": 0.98193359375}, {"start": 2782.94, "end": 2783.58, "word": " عارفة", "probability": 0.98388671875}, {"start": 2783.58, "end": 2783.7, "word": " عارفة", "probability": 0.9847412109375}, {"start": 2783.7, "end": 2783.72, "word": " عارفة", "probability": 0.9852294921875}, {"start": 2783.72, "end": 2783.74, "word": " عارفة", "probability": 0.985595703125}, {"start": 2783.74, "end": 2784.44, "word": " عارفة", "probability": 0.9859619140625}, {"start": 2784.44, "end": 2785.12, "word": " عارفة", "probability": 0.986572265625}, {"start": 2785.12, "end": 2785.86, "word": " عارفة", "probability": 0.987060546875}, {"start": 2785.86, "end": 2786.68, "word": " عارفة", "probability": 0.9874267578125}, {"start": 2786.68, "end": 2789.68, "word": " عارفة", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 115, "seek": 281379, "start": 2789.89, "end": 2813.79, "text": "هو مفروض بالخمسة بس عشان يلا اجابي اللي صعبة وكده السهلة فبديه سكتة بالعشرة السبعة ان كده والثانية من السمور واليودا اللي هي الدجاية وذا بيكون سميك جيب ال magnitude اعتبر طبعا مكره الامتحان", "tokens": [3224, 2407, 3714, 5172, 32887, 11242, 20666, 9778, 2304, 3794, 3660, 4724, 3794, 6225, 8592, 7649, 7251, 15040, 1975, 7435, 16758, 1829, 13672, 1829, 20328, 3615, 49401, 4032, 4117, 3215, 3224, 21136, 3224, 37977, 6156, 3555, 16254, 3224, 8608, 4117, 2655, 3660, 20666, 3615, 8592, 25720, 21136, 3555, 27884, 16472, 9122, 3215, 3224, 4032, 6027, 12984, 7649, 10632, 9154, 21136, 2304, 13063, 4032, 6027, 1829, 23328, 995, 13672, 1829, 39896, 32748, 7435, 995, 10632, 4032, 15730, 4724, 1829, 30544, 8608, 2304, 1829, 4117, 10874, 1829, 3555, 2423, 15668, 1975, 34268, 26890, 23032, 3555, 3615, 995, 3714, 37983, 3224, 2423, 10943, 2655, 5016, 7649], "avg_logprob": -0.5766225749483476, "compression_ratio": 1.6884422110552764, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 2789.89, "end": 2790.13, "word": "هو", "probability": 0.4324951171875}, {"start": 2790.13, "end": 2790.39, "word": " مفروض", "probability": 0.54156494140625}, {"start": 2790.39, "end": 2791.19, "word": " بالخمسة", "probability": 0.7771484375}, {"start": 2791.19, "end": 2791.75, "word": " بس", "probability": 0.766357421875}, {"start": 2791.75, "end": 2792.05, "word": " عشان", "probability": 0.7549641927083334}, {"start": 2792.05, "end": 2792.35, "word": " يلا", "probability": 0.6763916015625}, {"start": 2792.35, "end": 2792.71, "word": " اجابي", "probability": 0.402923583984375}, {"start": 2792.71, "end": 2792.85, "word": " اللي", "probability": 0.51800537109375}, {"start": 2792.85, "end": 2793.31, "word": " صعبة", "probability": 0.8269856770833334}, {"start": 2793.31, "end": 2793.77, "word": " وكده", "probability": 0.6220550537109375}, {"start": 2793.77, "end": 2794.23, "word": " السهلة", "probability": 0.7176513671875}, {"start": 2794.23, "end": 2794.93, "word": " فبديه", "probability": 0.66650390625}, {"start": 2794.93, "end": 2795.15, "word": " سكتة", "probability": 0.68255615234375}, {"start": 2795.15, "end": 2795.69, "word": " بالعشرة", "probability": 0.805419921875}, {"start": 2795.69, "end": 2796.83, "word": " السبعة", "probability": 0.8333333333333334}, {"start": 2796.83, "end": 2797.29, "word": " ان", "probability": 0.250244140625}, {"start": 2797.29, "end": 2798.05, "word": " كده", "probability": 0.7539876302083334}, {"start": 2798.05, "end": 2798.99, "word": " والثانية", "probability": 0.5827880859375}, {"start": 2798.99, "end": 2799.23, "word": " من", "probability": 0.697265625}, {"start": 2799.23, "end": 2799.91, "word": " السمور", "probability": 0.5269368489583334}, {"start": 2799.91, "end": 2801.01, "word": " واليودا", "probability": 0.53232421875}, {"start": 2801.01, "end": 2801.37, "word": " اللي", "probability": 0.7022705078125}, {"start": 2801.37, "end": 2801.51, "word": " هي", "probability": 0.81005859375}, {"start": 2801.51, "end": 2802.27, "word": " الدجاية", "probability": 0.55670166015625}, {"start": 2802.27, "end": 2804.67, "word": " وذا", "probability": 0.4591064453125}, {"start": 2804.67, "end": 2804.93, "word": " بيكون", "probability": 0.6690266927083334}, {"start": 2804.93, "end": 2805.59, "word": " سميك", "probability": 0.4674072265625}, {"start": 2805.59, "end": 2805.87, "word": " جيب", "probability": 0.4953409830729167}, {"start": 2805.87, "end": 2805.91, "word": " ال", "probability": 0.62548828125}, {"start": 2805.91, "end": 2806.25, "word": " magnitude", "probability": 0.65283203125}, {"start": 2806.25, "end": 2807.51, "word": " اعتبر", "probability": 0.3714192708333333}, {"start": 2807.51, "end": 2812.13, "word": " طبعا", "probability": 0.944091796875}, {"start": 2812.13, "end": 2813.23, "word": " مكره", "probability": 0.4733072916666667}, {"start": 2813.23, "end": 2813.79, "word": " الامتحان", "probability": 0.8919921875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2813.9335, "duration_after_vad": 2668.717499999992}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/ujO3cklmHOY_raw.srt b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/ujO3cklmHOY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7b9266de31495bcf874422a605575f0b4e86eee8
--- /dev/null
+++ b/PL9fwy3NUQKwZCo-Rx5PN6GgAeyEJ9WBho/ujO3cklmHOY_raw.srt
@@ -0,0 +1,2200 @@
+1
+00:00:20,690 --> 00:00:25,250
+بسم الله الرحمن الرحيم نبدأ المحاضرة من البداية
+
+2
+00:00:25,250 --> 00:00:28,970
+اليوم هنكون ان شاء الله نعمل عملية مراجعة شاملة
+
+3
+00:00:28,970 --> 00:00:33,890
+لخمس شباتر اللي داخلة في الامتحان from one to five
+
+4
+00:00:33,890 --> 00:00:38,130
+بالنسبة للشبتر الأول احنا اتحدثنا في البداية عن
+
+5
+00:00:38,130 --> 00:00:42,300
+الوحداتواتفقنا إن في عندي تلت أنظمة للوحدات هذه
+
+6
+00:00:42,300 --> 00:00:47,820
+أسهل شيء وبالتالي ال kilogram وال meter والسكن هي
+
+7
+00:00:47,820 --> 00:00:52,700
+بال S.I. System وبالتالي هذه الوحدات الأساسية وكل
+
+8
+00:00:52,700 --> 00:00:56,380
+الوحدات اللي مرّت علينا بعد هيك مش تقع منهم تمام
+
+9
+00:00:56,380 --> 00:01:02,240
+الوحدة إحنا بنشتقها من المعادلة وبالتالي بنتعامل
+
+10
+00:01:02,240 --> 00:01:05,880
+معاها على هذه الأساس بعد هيك اتفقنا إن كميات
+
+11
+00:01:05,880 --> 00:01:09,650
+الفيزيائية إما vectors أو scalesالـ vector له
+
+12
+00:01:09,650 --> 00:01:14,390
+magnitude و direction و ال vector عادة بيكتب a
+
+13
+00:01:14,390 --> 00:01:23,050
+equal ax i زي a y j زي a z k لما اجي اجمع two
+
+14
+00:01:23,050 --> 00:01:32,230
+vectors او اطرحهم بروح بعمل ال ax و ال bx ax زي bx
+
+15
+00:01:32,230 --> 00:01:37,870
+زي او ناقص طبعا i و بنضل ماشي بهذا الشكل صحيح ولا
+
+16
+00:01:37,870 --> 00:01:44,050
+لأ؟بعد هيك بيقولنا في عندي A ضد ال B هذي بتساوي
+
+17
+00:01:44,050 --> 00:01:53,190
+AXBX زاد AYBY زاد AZBZ و بنحطش لا I ولا J ولا K
+
+18
+00:01:53,190 --> 00:01:57,770
+لرباكم ها لأ بنحط لا I ولا J ولا K طبعا هنا بطلع
+
+19
+00:01:57,770 --> 00:02:03,270
+رقم هنا رقم هنا رقم نجمحهم جميعاتمام طبعا Alpha في
+
+20
+00:02:03,270 --> 00:02:10,030
+A هي عبارة عن Alpha Ax I ذات Alpha Ay J ذات Alpha
+
+21
+00:02:10,030 --> 00:02:14,290
+Az K الـ Alpha بتفوت على كل ال components لما نضرب
+
+22
+00:02:14,290 --> 00:02:19,390
+scalar في vector لما يكون في عندي A cross ال B
+
+23
+00:02:19,390 --> 00:02:32,240
+بالساوي I J K Ax Ay Az Bx By Bzتمام؟ cross أنا إيش
+
+24
+00:02:32,240 --> 00:02:36,400
+عملت cross تمام و لازم نعرف إذا كان C بتساوي A
+
+25
+00:02:36,400 --> 00:02:43,000
+cross ال B اللي بتساوي طبعا A في B في صيني الزاوية
+
+26
+00:02:43,000 --> 00:02:46,900
+اللي بينهم إنه C perpendicular to A و C
+
+27
+00:02:46,900 --> 00:02:51,720
+perpendicular to B صحيح ولا لأ؟إنه لازم تكون C
+
+28
+00:02:51,720 --> 00:02:55,840
+عمودية على كدا ال two vectors و طبعا بنعرف إيه دوت
+
+29
+00:02:55,840 --> 00:02:58,660
+ال B بيسوي إيه في B في ال cosine الزاوية اللي
+
+30
+00:02:58,660 --> 00:03:09,800
+بينهم هذا الشبط الأول احكي دوت
+
+31
+00:03:09,800 --> 00:03:14,120
+ال product أحسنلك أحسنك لإن هذا بياخد وجه أكتر
+
+32
+00:03:18,730 --> 00:03:24,170
+إذا معاك الواجهة تعمل التانية بس اللي أسرع أنا
+
+33
+00:03:24,170 --> 00:03:31,630
+بقولك على أسرع ال product أسرع عليك غيرها احكي شيا
+
+34
+00:03:31,630 --> 00:03:38,530
+البصفوفة أنت بتغطي هذه بتغطي لما تجيب ال component
+
+35
+00:03:38,530 --> 00:03:43,490
+بتبعت ال I بتغطي عموده و خطه و صفه
+
+36
+00:03:46,810 --> 00:03:53,110
+هذه نقص هذه اللي في النص بتعكسي لما تغطي هذه تقول
+
+37
+00:03:53,110 --> 00:03:57,070
+هيك نقص هنا وهكذا تمام غيرها
+
+38
+00:04:07,940 --> 00:04:11,020
+عندما تضع كتابة كتابة كتابة كتابة كتابة كتابة
+
+39
+00:04:11,020 --> 00:04:12,320
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+40
+00:04:12,320 --> 00:04:17,600
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+41
+00:04:17,600 --> 00:04:20,400
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+42
+00:04:20,400 --> 00:04:22,440
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+43
+00:04:22,440 --> 00:04:22,680
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+44
+00:04:22,680 --> 00:04:29,860
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة كت
+
+45
+00:04:29,980 --> 00:04:35,820
+كيف تمسي بالإنقليزي عادي تبقى بداية التانية هنا
+
+46
+00:04:35,820 --> 00:04:41,140
+ببدأ و بضرب هيك ناقص خانة بس في المصدر بتحط سالب
+
+47
+00:04:41,140 --> 00:04:44,360
+الأساس فاللي ماني بديهوش يحط سالب بيعكس اتضلت
+
+48
+00:04:44,360 --> 00:04:48,980
+غيرها أي
+
+49
+00:04:48,980 --> 00:04:55,180
+شرتين هذه أصلا قانونها بيقول موجة سالب موجةأتبع عن
+
+50
+00:04:55,180 --> 00:04:59,680
+سادة تريح دايما تريح يعني هدول مقص هدول عمرهم ما
+
+51
+00:04:59,680 --> 00:05:04,380
+صاروا جامعة هذا القانون تبع ال determinant غيرها
+
+52
+00:05:04,380 --> 00:05:10,280
+هاي ال chapter الأول مافيش فيه إشي مافيش فيه trick
+
+53
+00:05:10,280 --> 00:05:17,600
+أصلا مافيش فيه trickات تمام؟ ال chapter التاني
+
+54
+00:05:17,600 --> 00:05:27,100
+بدأنا بالسرعة المتوسطة Delta Xعلى Delta T كلمة دي
+
+55
+00:05:27,100 --> 00:05:31,900
+بـ Delta X لا بيكون مديني رسمة أو مديني معادلة صح
+
+56
+00:05:31,900 --> 00:05:37,220
+ولا لا؟ و Delta T هي فترة زمانية فلازم نجيب لـ T
+
+57
+00:05:37,220 --> 00:05:42,160
+Final وT Initial لعقينيها و هي اللي بعد كده سهلة V
+
+58
+00:05:42,160 --> 00:05:49,220
+Instantaneous بيساوي DX على DTبينفع يقولك اودي
+
+59
+00:05:49,220 --> 00:05:53,260
+الصورة اللحظية ويسكت؟ لازم احددك عنه اي لحظة،
+
+60
+00:05:53,260 --> 00:05:58,060
+صحيح؟ طيب، المعادلة اللي بعد ما فضلتها واشتقيتها
+
+61
+00:05:58,060 --> 00:06:02,140
+طلعت a function of T، بيتعود في الـT بيتداميها،
+
+62
+00:06:02,140 --> 00:06:06,340
+مظبوط ولا لأ؟ إذا طلعت ثابتة، الـT بتلزمني؟ لأ،
+
+63
+00:06:06,340 --> 00:06:12,890
+تمام، ايه الـAverage؟سوى Delta V على Delta T إيه
+
+64
+00:06:12,890 --> 00:06:17,530
+الـ Instantaneous بيسوي DV على DT؟ في أي إشكال؟
+
+65
+00:06:17,530 --> 00:06:21,750
+تمام، بعد كده كنا يلّا ندرس الحركة لو كانت، احكي
+
+66
+00:06:32,130 --> 00:06:39,130
+بتجيب ال graph بتجيب ال velocities و بتطبق القانون
+
+67
+00:06:39,130 --> 00:06:44,210
+و خلاص اه او بتجيب بتشق مرتين بتجيب ال main او
+
+68
+00:06:44,210 --> 00:06:49,350
+بتجيب ال main المماسة و بعدين بتجيب مرة مماسة تمام
+
+69
+00:06:49,350 --> 00:06:55,810
+غيرهابعدها قلنا if A is constant إذا كان التسارع
+
+70
+00:06:55,810 --> 00:07:01,630
+ثابت طلع المعادلات التالية معايا V equal V0 plus A
+
+71
+00:07:01,630 --> 00:07:08,650
+في T X equal V0 في T plus half A T square و V
+
+72
+00:07:08,650 --> 00:07:16,390
+square equal V0 square plus 2A X وهذه سهلينةصحيح
+
+73
+00:07:16,390 --> 00:07:24,850
+ولا لا؟ سهل جدا كتطبيق مباشر كانت السقوط الحر صح؟
+
+74
+00:07:24,850 --> 00:07:30,710
+في السقوط الحر بدل A بحث سالب G فبصير هنا سالب G
+
+75
+00:07:30,710 --> 00:07:40,050
+سالب G سالب G و ال F بصير Y مظبوط هيك ولا لا؟ تمام
+
+76
+00:07:41,510 --> 00:07:44,730
+بدأنا في هذا الـ chapter نحكي عن الحركة المسمية
+
+77
+00:07:44,730 --> 00:07:47,950
+نأجل هذا ال chapter اللي وراه بتغطي الوضع حين
+
+78
+00:07:47,950 --> 00:07:51,090
+خلصنا ال chapter التاني كنا قصير أكثر من أولا
+
+79
+00:07:51,090 --> 00:07:57,870
+ماخدش كل الكلمة تمام هنا رجع جالي هذه القوانين بدا
+
+80
+00:07:57,870 --> 00:08:03,730
+إيها بس بدل ما هذه V بتحط عليها إشارة vector و هذه
+
+81
+00:08:03,730 --> 00:08:06,610
+V إشارة vector يعني بمعنى أخر لإيها موكبة تاني
+
+82
+00:08:06,610 --> 00:08:15,550
+فبنرجع نقول V averageهي بيسوي DR على DT بدل DX
+
+83
+00:08:15,550 --> 00:08:20,570
+صحيح يبقى اولا عن DX وDY صحيح ولا لأ؟ و ال V
+
+84
+00:08:20,570 --> 00:08:29,510
+Instantaneous بيسوي DR على DT وبتساوي VXi زي VYJ
+
+85
+00:08:30,690 --> 00:08:36,050
+والـ Acceleration المتوسطة بيسوي Delta V على Delta
+
+86
+00:08:36,050 --> 00:08:42,970
+T وبالتالي بيصير AX average I زاد AY average J
+
+87
+00:08:42,970 --> 00:08:50,270
+والـ A ال Instantaneous equal DV over DT بيسوي AXI
+
+88
+00:08:50,270 --> 00:08:52,050
+زاد AYJ
+
+89
+00:08:54,600 --> 00:08:59,420
+جالي ما زال هذا كلام صحيح تقرأ لها دول جالي if E
+
+90
+00:08:59,420 --> 00:09:05,740
+is constant معناته هذه و هذه constant إذا هي
+
+91
+00:09:05,740 --> 00:09:09,180
+constant تبتدى constant طيب إذا هذه constant
+
+92
+00:09:09,180 --> 00:09:12,360
+معناته تقول المعادلات صحوإذا كانت هذه المعادلات
+
+93
+00:09:12,360 --> 00:09:16,160
+مستمرة فهذه المعادلات صح برضه إلهم فصار في عينجي
+
+94
+00:09:16,160 --> 00:09:22,860
+إيه ست معادلات معادلتين كل واحدة جسمها تنتين واحدة
+
+95
+00:09:22,860 --> 00:09:25,700
+سنية واحدة صادية واحدة سنية واحدة صادية واحدة سنية
+
+96
+00:09:25,700 --> 00:09:31,260
+واحدة صادية تمام جيه؟ طبعا الأهم من هيك إجت تطبيق
+
+97
+00:09:31,260 --> 00:09:35,240
+وهو ال projectile motion في ال projectile motion
+
+98
+00:09:35,240 --> 00:09:42,680
+جالي ايه؟ بالساوي سالب جيه باتجاه الجيهتصارع
+
+99
+00:09:42,680 --> 00:09:47,180
+الجاذبية الأرضية هو التصارع الوحيد اللي بيأثر على
+
+100
+00:09:47,180 --> 00:09:51,820
+حركة المخلوفات، صح؟ الجاذبية الأرضية اتجاهها بتغير
+
+101
+00:09:51,820 --> 00:09:55,360
+الجسم طالع، الجسم نازل، الجسم واقف، عند أقصى
+
+102
+00:09:55,360 --> 00:09:58,440
+ارتفاع، عند أدنى ارتفاع، لما يضرب الأرض، لما يطلع
+
+103
+00:09:58,440 --> 00:10:03,200
+من الأرض الـacceleration سال الجي بتجاه الجي، تمام
+
+104
+00:10:04,170 --> 00:10:08,690
+لما أكتب كدا، كم مراكبة الصينية له؟ سفر مازال
+
+105
+00:10:08,690 --> 00:10:11,830
+مراكبة الصينية له، معناته في الـ X هنا مش موجودة،
+
+106
+00:10:11,830 --> 00:10:17,710
+و هنا مش موجودة، و هنا مش موجودة فبصير X بتساوي VX
+
+107
+00:10:17,710 --> 00:10:25,610
+في الـ T و VX و V not X زي بعض ولا لأ؟ لعشان نعرف
+
+108
+00:10:25,610 --> 00:10:29,790
+إن VX هي نفسها V not X
+
+109
+00:10:33,080 --> 00:10:37,240
+بالظبط لأنه ثابتة تمام جالي انت قولتيلي هاد يورد
+
+110
+00:10:37,240 --> 00:10:41,140
+ستة كانوا من التلاتة تعوين الأفقية أخدتش لواحدة
+
+111
+00:10:41,140 --> 00:10:45,720
+والبعد يروح ومافيش acceleration دلت التلاتة تعوين
+
+112
+00:10:45,720 --> 00:10:50,320
+الصاضي نفس الـ free falling bodies نفسهم اللي هي
+
+113
+00:10:50,320 --> 00:11:00,240
+بصير VY ساوى V not Y minus GTو Y equal V0Y في T
+
+114
+00:11:00,240 --> 00:11:06,000
+minus half GT squared و VY squared equal V0Y
+
+115
+00:11:06,000 --> 00:11:12,740
+squared minus 2G في Yفي الـ projectile motion أهم
+
+116
+00:11:12,740 --> 00:11:17,260
+حاجة عنا أنه أنا أول أطلع عن معطياتي وغالبا السرعة
+
+117
+00:11:17,260 --> 00:11:22,380
+الإبتدائية لازم أجسمها نصين سينية وصابية هذه أول
+
+118
+00:11:22,380 --> 00:11:25,720
+خطوة بعملها و بعدين بتطلع على ال data اللي عندى
+
+119
+00:11:25,720 --> 00:11:28,560
+بديك مسافات بشوف المسافة اللي بديها سينية ولا
+
+120
+00:11:28,560 --> 00:11:33,160
+صابية مظبوط ولا لأ؟ و ببدأ أشتغل إيش العامل
+
+121
+00:11:33,160 --> 00:11:35,840
+المشترك اللي ممكن أشحطه من واحدة للتانية؟ التانية
+
+122
+00:11:37,440 --> 00:11:42,440
+تمام؟ بده X بقوله والله مافيش لها قانون ل X T مش
+
+123
+00:11:42,440 --> 00:11:47,820
+ماتيني بروح بدور عليه من ال Y صح ولا لأ؟ بده
+
+124
+00:11:47,820 --> 00:11:51,200
+الصراع النهائية الصراع النهائية عبارة عن تنتهي
+
+125
+00:11:51,200 --> 00:11:57,180
+الصراع سينية وصادية كيف نجيب السينية؟ هي نفسها
+
+126
+00:11:57,180 --> 00:12:01,920
+ابتدائية بضل عليك تجيب النهائية الصادية اللي ضالة
+
+127
+00:12:01,920 --> 00:12:05,620
+الصادية معناته بتجيب من هدول لها هذا القانون لها
+
+128
+00:12:05,620 --> 00:12:09,190
+هذا القانونمن هذا القانون بزمن الزمن بشحته من
+
+129
+00:12:09,190 --> 00:12:13,590
+الصينية من هذا القانون بزمن المسافة إذا لازم
+
+130
+00:12:13,590 --> 00:12:16,930
+يكونوا يعطاني إياها و ببدأ أشغل و بطلع ال velocity
+
+131
+00:12:16,930 --> 00:12:22,050
+بناء على ذلك الصينية و الصاضية عشان أعمل صح فهذه
+
+132
+00:12:22,050 --> 00:12:25,890
+هي ال project in motion تم نيجي
+
+133
+00:12:36,150 --> 00:12:40,750
+هو بالـ R بيساوي X لو أتعامل مع هذا هيحكي أن X
+
+134
+00:12:40,750 --> 00:12:45,430
+بيساوي P نقطة X في T مظبوط طب في مثال اللي ماتيني
+
+135
+00:12:45,430 --> 00:12:49,270
+بس تيتا أو كده ماتيني الـ R بيساوي معادلة تانية
+
+136
+00:12:49,270 --> 00:12:53,690
+لما أجي أطبّد من وين مافيش معادلة لها الـ R في
+
+137
+00:12:53,690 --> 00:12:59,310
+مثال الـ theta طيب أه بس بيختلف عنه لأ بختلفش بس
+
+138
+00:12:59,310 --> 00:13:03,870
+انسيها ده اللي بتقول عنه اللي هي استخدمه الاولاني
+
+139
+00:13:03,870 --> 00:13:09,550
+بتجيبي هذا القانونو الـG بي الـT بس هنا الـT كده
+
+140
+00:13:09,550 --> 00:13:16,290
+كي تجيبيها وي شو بيساوي؟ Zero و بدأ ورجع وي في
+
+141
+00:13:16,290 --> 00:13:19,010
+السؤال اللي بتحكي عنه طلع من الطاولة و رجع على
+
+142
+00:13:19,010 --> 00:13:22,990
+الطاولة كدش وي؟ Zero بتعود و الـG بي الـT بتعود
+
+143
+00:13:22,990 --> 00:13:27,990
+عليها مافيش خانون للريتش يصيبوا يتعفزوشأنت فرّه ..
+
+144
+00:13:27,990 --> 00:13:33,950
+فرّه .. فرّه .. فرّه .. فرّه .. فرّه .. فرّه ..
+
+145
+00:13:33,950 --> 00:13:34,010
+فرّه .. فرّه .. فرّه .. فرّه .. فرّه .. فرّه ..
+
+146
+00:13:34,010 --> 00:13:34,110
+فرّه .. فرّه .. فرّه .. فرّه .. فرّه .. فرّه ..
+
+147
+00:13:34,110 --> 00:13:35,550
+فرّه .. فرّه .. فرّه .. فرّه .. فرّه .. فرّه ..
+
+148
+00:13:35,550 --> 00:13:35,550
+فرّه .. فرّه .. فرّه .. فرّه .. فرّه .. فرّه ..
+
+149
+00:13:35,550 --> 00:13:36,630
+فرّه .. فرّه .. فرّه .. فرّه .. فرّه .. فرّه ..
+
+150
+00:13:36,630 --> 00:13:40,430
+فرّه .. فرّه .. فرّه .. فرّه .. فرّه .. فرّه ..
+
+151
+00:13:40,430 --> 00:13:45,960
+فرّه .. فرفتنزل بالسنة السادسة و يكون النهاية قدر
+
+152
+00:13:45,960 --> 00:13:50,280
+السنة في نقطة الاسم إذا لم تحصلش إيش ممكن تشيل نقش
+
+153
+00:13:50,280 --> 00:13:53,460
+الفن فإن ما هي معنى عرفت بتمرأ قولنا إذا نقطة
+
+154
+00:13:53,460 --> 00:13:57,660
+النهاية أوطى من نقطة البداية بتكون الليزا عصاضية
+
+155
+00:13:57,660 --> 00:14:02,960
+سالفة إذا نقطة البداية أعلى من نقطة النهاية إذا
+
+156
+00:14:02,960 --> 00:14:07,460
+النهاية أوطى معناته بتكون سالفة إذا نقطة النهاية
+
+157
+00:14:07,460 --> 00:14:13,110
+هي الأعلى بتكون موجبةتابع نجي لـ projectile motion
+
+158
+00:14:13,110 --> 00:14:22,370
+الـ relative motion ال relative motion بصورة بسيطة
+
+159
+00:14:22,370 --> 00:14:30,110
+جدا بيقوللي سرعة .. خليني أقول ال boat بالنسبة لل
+
+160
+00:14:30,110 --> 00:14:34,150
+water بالساوية سرعة ال .. sorry سرعة ال boat
+
+161
+00:14:34,150 --> 00:14:38,510
+بالنسبة للأرضبالساوية سرعة الـ boat بالنسبة للـ
+
+162
+00:14:38,510 --> 00:14:45,290
+water زي سرعة الـ water بالنسبة للأرض هذه لما كان
+
+163
+00:14:45,290 --> 00:14:50,490
+قارب جوا مية ممكن تنفل بالطيارة صح ولا لأ؟
+
+164
+00:14:50,490 --> 00:14:55,710
+وبالتالي هذه ستكون سرعة الطيارة بالنسبة للهواء
+
+165
+00:14:55,710 --> 00:14:59,970
+وهذه سرعة الهواء بالنسبة للأرض في النهاية هدول
+
+166
+00:14:59,970 --> 00:15:03,630
+شايفيهم زي بعض، يجب أن يكونوا جانب بعض، عشان هدول
+
+167
+00:15:03,630 --> 00:15:08,220
+هم هدولهدول هم هدول دكتور احكي لما كان في truck و
+
+168
+00:15:08,220 --> 00:15:13,880
+سيارة مرة حط ال TE و مرة حط ال train ال CE بقى هو
+
+169
+00:15:13,880 --> 00:15:17,160
+كان بده ال car بالنسبة لل train و مرة بده ال train
+
+170
+00:15:17,160 --> 00:15:20,700
+بالنسبة لل car و انا فهمته ساعتها لما درست الشبكة
+
+171
+00:15:20,700 --> 00:15:26,660
+طيب .. طيب سلب و موجود في الفصل و انت زعلانة ليه؟
+
+172
+00:15:29,420 --> 00:15:33,760
+بس خلّيكم معايا عشان تستفيدوا احكي V مثلا D ل E
+
+173
+00:15:33,760 --> 00:15:37,940
+فكيف دلوقتي انا اقعد اللي بيه V C ل E هل هي ده
+
+174
+00:15:37,940 --> 00:15:41,440
+بحثي V بين الشجرين ما هو انتي لما تقولي خلّينا
+
+175
+00:15:41,440 --> 00:15:48,020
+نقول V تبعت ال truck بالنسبة للأرض بسوء V تبعت ال
+
+176
+00:15:48,020 --> 00:15:51,640
+truck بالنسبة للسيارة لسرعة السيارة بالنسبة للأرض
+
+177
+00:15:51,640 --> 00:15:55,700
+هل
+
+178
+00:15:55,700 --> 00:16:01,090
+جيت تطلع عليا و انا اتكتب معادلة؟الـ C مع الـ C
+
+179
+00:16:01,090 --> 00:16:05,290
+روحت، دلت تي إيه ولا لأ؟ هتتزوجش تقولتي انت لأ،
+
+180
+00:16:05,290 --> 00:16:10,490
+بدي سرعت الـ Car بالنسبة للأرض بسرعة سرعة الـ Car
+
+181
+00:16:10,490 --> 00:16:15,010
+بالنسبة للـ Train زي سرعة الـ Train بالنسبة للأرض
+
+182
+00:16:15,010 --> 00:16:21,020
+فهي هي الـ T مع الـ T راحت، دلت الـ C مع الـ Eطب
+
+183
+00:16:21,020 --> 00:16:24,380
+ما هو .. طيب دكتور ..اندونال معادلتين مش زي بعض لأ
+
+184
+00:16:24,380 --> 00:16:27,560
+زي بعض عوض يبقى بتطلع زي بعض بس واحد عكس التانية
+
+185
+00:16:27,560 --> 00:16:30,340
+لأ في اش يعني مثلا لو انا اعتبرت انه خدت كل جسمي
+
+186
+00:16:30,340 --> 00:16:33,300
+بالنسبة لبعض و اجيت اخد السرعة بالنسبة لبعض كيف
+
+187
+00:16:33,300 --> 00:16:36,540
+يعني؟ يعني مثلا انا بدأ احكي سرعة الرجل بال ..
+
+188
+00:16:36,540 --> 00:16:40,160
+سرعة الرجل بالنسبة للمهر .. للنهر بيساوي سرعة
+
+189
+00:16:40,160 --> 00:16:43,280
+النهر بال .. بالنسبة للميه زي سرعة الرجل بالنسبة
+
+190
+00:16:43,280 --> 00:16:45,120
+للميه تصبح؟ اه بيه ..
+
+191
+00:16:53,360 --> 00:16:57,220
+هو بيكون جاهز ليه؟ find the velocity of the car
+
+192
+00:16:57,220 --> 00:16:58,240
+related to the trail
+
+193
+00:17:00,990 --> 00:17:05,770
+لأ، مانفعش ما يحكيش، مانفعش يكون المؤتمر مبهم،
+
+194
+00:17:05,770 --> 00:17:10,170
+لازم المطلوب يكون واضح، مضوح الشمس، إيش اللي بدهو
+
+195
+00:17:10,170 --> 00:17:12,990
+يعنى، سرعة إيش بالإيش، سرعة السيارة بالنسبة لهتين
+
+196
+00:17:12,990 --> 00:17:15,610
+أو سرعة هتين بالنسبة للسيارة، فلازم يقولي إيش اللي
+
+197
+00:17:15,610 --> 00:17:20,330
+بدهو يعنى، مانفعش يكون المطلوب غامض أو مبهم،
+
+198
+00:17:20,330 --> 00:17:24,800
+أقلقاًبظل انتوا بتتطلعوا هيك و بتعوضوا بس هادى
+
+199
+00:17:24,800 --> 00:17:27,380
+vector و هادى vector و هادى vector انتبهوا بيصير
+
+200
+00:17:27,380 --> 00:17:30,960
+دنيا معادلة vectors تتعاملوا معاها سهل العملية
+
+201
+00:17:30,960 --> 00:17:38,400
+كتير طيب نيجى .. مش
+
+202
+00:17:38,400 --> 00:17:44,980
+عارفش .. هاي ده .. هاي المطلوب نيجى للقانون لشبطن
+
+203
+00:17:44,980 --> 00:17:48,990
+أربعة شبطن أربعة اتفقنا من الشباطنوقوانين الـ
+
+204
+00:17:48,990 --> 00:17:53,490
+Newton التلاتة بدنا نحفظها بدنا نفهمها ال Newton
+
+205
+00:17:53,490 --> 00:17:56,350
+الأول يبقى الجسم على حالته من السكون أو الحركة ما
+
+206
+00:17:56,350 --> 00:18:01,270
+لم تأثر عليه قوة خارجية القانون التاني أن F بساوي
+
+207
+00:18:01,270 --> 00:18:08,930
+MA هجيت أنتم المشكلة أنه لما كتبت أنا F بساوي MA
+
+208
+00:18:08,930 --> 00:18:14,390
+من هذا القانون واضح أن ال acceleration اتجاهها مع
+
+209
+00:18:14,390 --> 00:18:20,340
+ال force ولا لأمرات كثير كنت أقول لكم الجسم بتحرك
+
+210
+00:18:20,340 --> 00:18:23,720
+شمال و القوة اللي عليه اليمين الـ acceleration
+
+211
+00:18:23,720 --> 00:18:29,600
+case يمين حسب القوة مش حسب الحركة بتحرك شمال سرعته
+
+212
+00:18:29,600 --> 00:18:33,480
+شمال لكن تسارعه بتطلع عليه القوة اتجاهها هاي
+
+213
+00:18:33,480 --> 00:18:39,340
+القانون هيك بيقول F و A لأن اللي مسبب ل A هو F F
+
+214
+00:18:39,340 --> 00:18:44,160
+هي المسبب ل A هذا القانون جسمناه إلى ثاني
+
+215
+00:18:50,140 --> 00:18:54,160
+وصاضي في القوانين اللي ازاي هادة أهم حاجة ترسمه
+
+216
+00:18:54,160 --> 00:18:57,500
+الـ Free Body Diagram صح و أكتر من طالب يجاتني
+
+217
+00:18:57,500 --> 00:19:01,600
+تسألني في بعض أسئلة معينة و اللي بحذر منه بيجيني
+
+218
+00:19:01,600 --> 00:19:06,960
+في اختراع قوة بيخترعوا القوة بيحطوها احنا بدلاش
+
+219
+00:19:06,960 --> 00:19:13,720
+قوة موجودة و مش موجودة و نخلقها يعني بمعنى آخر
+
+220
+00:19:13,720 --> 00:19:19,410
+عندي أنا inمظبوط ولا لأ؟ الكل بيذكر انه برمج المخ
+
+221
+00:19:19,410 --> 00:19:23,410
+إلا فوق إلا فوق إلا فوق لما نحط هذه بيصير حاطلني
+
+222
+00:19:23,410 --> 00:19:29,260
+إلا فوقلأ إن لأ فوق لأ بطلت إن لفوق إن سميتها إن
+
+223
+00:19:29,260 --> 00:19:32,700
+عشان كده أنا من أول وقولت ليه سميتها إن عشانها
+
+224
+00:19:32,700 --> 00:19:37,600
+normal to the surface عشان كده إن الطاولة إن لفوق
+
+225
+00:19:37,600 --> 00:19:42,820
+إن اللوح صارت إن عليكم إن السطح ميل صار هيك عمودي
+
+226
+00:19:42,820 --> 00:19:49,100
+عليه إذا إن بتميل مع السطح لازم تضلها عمودية على
+
+227
+00:19:49,100 --> 00:19:56,410
+السطحجيت برضه شغلة تو طالبة خربطت شغلة بتقول أنا
+
+228
+00:19:56,410 --> 00:20:01,130
+لما أقول الأسئلة اللي زي هذه جالي أنا بدي أعمل
+
+229
+00:20:01,130 --> 00:20:04,550
+test فاهم المدينة كل حاجة عملت test جابت الـMUS في
+
+230
+00:20:04,550 --> 00:20:10,850
+الـN وهو أكبر قيمة ممكن أن الأف أس فجابت الـMUS في
+
+231
+00:20:10,850 --> 00:20:17,310
+الـN وهادي أف جاتي بتطلع مين أكبر هادي ولا هاديما
+
+232
+00:20:17,310 --> 00:20:21,310
+لا .. ما ليش دعوة هادى مش هادى اللى بقارن فيها هل
+
+233
+00:20:21,310 --> 00:20:24,390
+هادى المسئولة على حركتها تحت أو فوق؟ بتبقى بقارنها
+
+234
+00:20:24,390 --> 00:20:27,890
+مع مين؟ مع القوة اللي هان هي اللي بتنزلها و
+
+235
+00:20:27,890 --> 00:20:33,590
+نستنزلها بقارنها مع ان جي مش مع أس جيه لما كان
+
+236
+00:20:33,590 --> 00:20:39,910
+أفقي و كان هيكوكان هدى هى كأف بقى هى بتطلع أف
+
+237
+00:20:39,910 --> 00:20:44,310
+بيغلب ميو أس في ال N ولا بتغلبش بس هنا مش أف هدى
+
+238
+00:20:44,310 --> 00:20:48,790
+مالهاش دعوة أنا بدي هدى أطلع هل الوزن بيغلب ميو أس
+
+239
+00:20:48,790 --> 00:20:51,990
+في ال N ولا بيغلبش إذا غلبه بتنزل إذا ماغلبوش
+
+240
+00:20:51,990 --> 00:20:55,830
+بتظهر واقفة صحيح ولا لأ إذا بقارنش مع أف هدى
+
+241
+00:20:55,830 --> 00:21:00,110
+الخمسة نيوتن أو تسعة نيوتن بقارن مع الوزن إذا
+
+242
+00:21:02,650 --> 00:21:07,130
+لأن القوة الممكن تكون مسبب بلا الحركة القوة المسبب
+
+243
+00:21:07,130 --> 00:21:10,790
+بلا الحركة هنا في مجال الجسم يخرج الحيط و يبقى
+
+244
+00:21:10,790 --> 00:21:15,470
+ماشي؟ إذا الحركة هيك؟ ولا الحركة باتجاه عمودي؟ إيش
+
+245
+00:21:15,470 --> 00:21:22,490
+اللي ممكن يخليه ينزل عمودي؟ أمجيه، تحكي إذا
+
+246
+00:21:22,490 --> 00:21:28,830
+أفعز بساوي القوة، بيبقى واقف هو .. هو .. انت يعني
+
+247
+00:21:28,830 --> 00:21:30,730
+مش ثغربة؟ هاي أصبعي
+
+248
+00:21:34,280 --> 00:21:41,740
+نزل؟ لأ هى الاسس
+
+249
+00:21:41,740 --> 00:21:47,860
+هي المسؤولة عن إعاقة الجسم إعاقته هل بتعيقه كامل
+
+250
+00:21:47,860 --> 00:21:51,780
+ولا ممكن يتعوجه شوية حسب يعني بمعنى آخر هاد
+
+251
+00:21:51,780 --> 00:21:56,240
+الطاولة تمام؟ أعيد أنا اللى كنت حلله زمان أول ما
+
+252
+00:21:56,240 --> 00:22:02,300
+جيشها راحت هينهي زججتها مشيت؟ ليش؟لأني ماقدرتش
+
+253
+00:22:02,300 --> 00:22:04,500
+أغلبي أفعاس، لو جينا و كنا و اتكتبنا عليها،
+
+254
+00:22:04,500 --> 00:22:07,700
+بينجرها و لا بينجرها ايه؟ بينجرها، ليه؟ لأنه أكتر
+
+255
+00:22:07,700 --> 00:22:13,680
+من أني منعتني، إذن القضية أنه هل اللي بيؤثر أكبر
+
+256
+00:22:13,680 --> 00:22:15,580
+من الـUSA في الآن و لا مش أكبر؟
+
+257
+00:22:18,590 --> 00:22:23,150
+لو واجف .. لو دلو واجف هل انتوا عندكم قانون ان
+
+258
+00:22:23,150 --> 00:22:27,570
+الـFs بيساوي الـUS في الـN؟ لأ .. الـFs أقل او
+
+259
+00:22:27,570 --> 00:22:32,310
+بيساوي الـUS في الـN الجسم واجف .. بقدر اطبق قانون
+
+260
+00:22:32,310 --> 00:22:35,370
+الـNewton التاني بحيث ان الـacceleration جديش أحط
+
+261
+00:22:35,370 --> 00:22:41,010
+محلها سفر .. ففي هكذا مسألة عندي MG وعندي هنا FS
+
+262
+00:22:41,010 --> 00:22:47,520
+والجسم واجف .. مش بقول MG ناقص Fs بيساوي سفر؟طلعت
+
+263
+00:22:47,520 --> 00:22:50,520
+M U S في ال N؟ ما طلعتش؟ بس دكتور اللي .. اللي
+
+264
+00:22:50,520 --> 00:22:53,800
+خلاه واقف هو ال .. هي القوة اللي هيك يعني لو كانش
+
+265
+00:22:53,800 --> 00:22:58,520
+اللي معاشر ده ساعة ليش طيب؟ ما هو F S إيش بتساوي؟
+
+266
+00:22:58,520 --> 00:23:04,600
+بتيجي F S من ال N لو مافيش N مافيش F S أصلا ف ال N
+
+267
+00:23:04,600 --> 00:23:09,060
+هو ضغطي N إيش بتساوي؟ F هذه هي M
+
+268
+00:23:13,230 --> 00:23:18,310
+كلمة انت تضغط أكتر، كلما زادت هذه، وبالتالي ميو أس
+
+269
+00:23:18,310 --> 00:23:23,870
+في الـ N بتزيد ها هو ميو أس بتيجي لحالها و لا
+
+270
+00:23:23,870 --> 00:23:28,850
+بتعتمد عن N عشان كده لما تضغطيش كتير، بتكون N
+
+271
+00:23:28,850 --> 00:23:33,450
+جليلة، وبالتالي ميو أس N جليلة، تقدرش تنحط، تنزل،
+
+272
+00:23:33,450 --> 00:23:36,510
+يعني أنا لما أحط هدا، وأيدي بس هيك، بدي أدلحها
+
+273
+00:23:36,510 --> 00:23:41,690
+شويه، أمسكها، تسحبليش؟ لأن الـ Mus في الـ N ذهبت N
+
+274
+00:23:41,690 --> 00:23:49,610
+صغيرة عشان كده واحدة بتدعب في التانية تمام؟ إذا
+
+275
+00:23:49,610 --> 00:23:53,310
+اتفقنا كالتالي إنه أنا لازم أرسم في body diagram
+
+276
+00:23:53,310 --> 00:23:56,890
+صح عشان أطبّق قدر القانونين بقت كده خشينا على
+
+277
+00:23:56,890 --> 00:24:02,610
+الاحتكاك فقلنا في الاحتكاك Fs أقل أو تساوي Mus في
+
+278
+00:24:02,610 --> 00:24:11,000
+الـ N و Fk مالهاش لقيمة واحدةالـ MUK في الـ Nتمام؟
+
+279
+00:24:11,000 --> 00:24:14,600
+هنجيط الـ friction هذا الـ friction لازم يكون
+
+280
+00:24:14,600 --> 00:24:19,360
+موازي للأسطح اللي متلامسها لازم يكون موازي عشان
+
+281
+00:24:19,360 --> 00:24:23,500
+كده لما كانت هذه hand ال friction كان هيك عشان
+
+282
+00:24:23,500 --> 00:24:30,280
+يكون ملامس في السطح ملامس يعني موازي وطبعا المفروض
+
+283
+00:24:30,280 --> 00:24:34,720
+يكون هو معيق ال friction معيق فالجسم بدو يسحر هو
+
+284
+00:24:34,720 --> 00:24:37,860
+البني عمرو السخور فلو الجسم بدو ينزل لدحت بدو يطلع
+
+285
+00:24:37,860 --> 00:24:43,660
+لفوقو هكذا بالتالي ببطل في عندي أي إشكالية Fs و Fk
+
+286
+00:24:43,660 --> 00:24:48,580
+و ببدأ أشتغل شغل عادي ال friction مجرد قوة زي الشد
+
+287
+00:24:48,580 --> 00:24:53,820
+زي الوزن زي F أي زي أي حاجة بحطها في ال body
+
+288
+00:24:53,820 --> 00:25:01,080
+diagram و ببدأ أطبخ ال Fx و Fy و بمشي عدل تمام نجي
+
+289
+00:25:01,080 --> 00:25:01,820
+لهنا
+
+290
+00:25:08,690 --> 00:25:16,650
+هذا .. قليل فقط هذا يقول فر بيساوي mv تربيع على r
+
+291
+00:25:16,650 --> 00:25:23,630
+ومجموع ال F ثيتا بيساوي ma ثيتا خلاص .. خلص الشبطة
+
+292
+00:25:23,630 --> 00:25:27,510
+الشبطة
+
+293
+00:25:27,510 --> 00:25:31,150
+الخامسة هو الشبطة الأربعة الفرق الوحيد أن في
+
+294
+00:25:31,150 --> 00:25:34,470
+الشبطة الأربعة كنت حرف المحاور في الشبطة الخامسة
+
+295
+00:25:34,470 --> 00:25:39,810
+بيقول لأ محاورك نصف القطر والمماسنص القطر والمماس
+
+296
+00:25:39,810 --> 00:25:43,730
+وبالتالي كل القوة التي تطلع عليها وتحللها تبعًا
+
+297
+00:25:43,730 --> 00:25:50,150
+لذلك بيكون إما باتجاه نص القطر أو مماستمام؟ الشغل
+
+298
+00:25:50,150 --> 00:25:55,490
+اللي مرات مع انه ركزنا عليها كتير بيقول السرعة و
+
+299
+00:25:55,490 --> 00:26:00,330
+ال speed إخوة؟ لأ لأ مش إخوة واحد ابن تاني ال
+
+300
+00:26:00,330 --> 00:26:05,990
+speed جزء من ال velocity تمام لما أقول ال speed
+
+301
+00:26:05,990 --> 00:26:10,390
+ثابتة هل هذا يعني تلقائيا ان ال velocity ثابتة؟ لأ
+
+302
+00:26:11,750 --> 00:26:15,590
+بالتالي، الـ Speed ثابتة، الـ Acceleration سافر؟
+
+303
+00:26:15,590 --> 00:26:19,590
+لأ، لأنه ممكن يكون الـ Direction بتغير هلجيت فيه
+
+304
+00:26:19,590 --> 00:26:23,410
+حركة دولانية، الـ Direction بيبقى ثابت؟ بيبطل
+
+305
+00:26:23,410 --> 00:26:27,370
+دورها، هو إيش هو الدوران بالعربي؟ مش بالوف؟ بيبقى
+
+306
+00:26:27,370 --> 00:26:31,830
+نغير اتجاه؟ طيب، إذا بس الـ Direction بيغير، إذن
+
+307
+00:26:31,830 --> 00:26:37,090
+هذه التصارع بيكون مركزي؟ إذا تغيرت الـ Speed،
+
+308
+00:26:37,090 --> 00:26:43,020
+بالصين عندي التصارع مماسيتمام؟ إذا التغير بالسبيل
+
+309
+00:26:43,020 --> 00:26:47,520
+يجعلك تتصرع مماسي التغير بالديركشن اللي دائما حاصل
+
+310
+00:26:47,520 --> 00:26:50,260
+في الحركة الدورانية بيكون عندك ال acceleration
+
+311
+00:26:50,260 --> 00:26:53,040
+المركزي تمام؟
+
+312
+00:27:01,690 --> 00:27:06,510
+عشان كده مافيش حركة دورانية إلا بتسارع مركزي
+
+313
+00:27:06,510 --> 00:27:11,770
+وبالتالي في تسارع بدون قوة .. في تسارع بدون قوة ..
+
+314
+00:27:11,770 --> 00:27:16,750
+إذا في حركة دورانية بدون قوة مركزية لابد من وجود
+
+315
+00:27:16,750 --> 00:27:21,290
+قوة مركزية عشان الجسم يدور لابد من وجود قوة مركزية
+
+316
+00:27:21,290 --> 00:27:28,160
+عشان الجسم يدور طب دكتور speed و directionأه ..
+
+317
+00:27:28,160 --> 00:27:32,960
+ازيات الخير خير التغيير صار بابل غصب عنه يكون عنده
+
+318
+00:27:32,960 --> 00:27:35,160
+.. طبعا عشان كده بنقول عنده two combinations of
+
+319
+00:27:35,160 --> 00:27:39,500
+accelerations دلحالة مركبتين لل acceleration تمى
+
+320
+00:27:39,500 --> 00:27:44,320
+ومابدي أشتغل على هذا الأساس مافيش عندي أي إشكالية
+
+321
+00:27:44,320 --> 00:27:47,180
+طبعا مرات صار في خلاف أنا مش عارف كيف أنتوا
+
+322
+00:27:47,180 --> 00:27:52,480
+بتبصموا الأسل باصلكان في أحد الأمثلة بيقولي عندي
+
+323
+00:27:52,480 --> 00:27:56,820
+نقطة هادية جسم بلُف و عندي نقطة هادية جدّاش ال
+
+324
+00:27:56,820 --> 00:28:00,900
+tangential acceleration تمام؟ واجع ما بين أيدينا
+
+325
+00:28:00,900 --> 00:28:05,360
+الطالبات حل حط Zero ال tangential acceleration
+
+326
+00:28:05,360 --> 00:28:09,300
+Zero و طبعا الواحد معاهم المغو اللي حلوا هذا بصنع
+
+327
+00:28:09,300 --> 00:28:16,220
+هوفأسلت الكوزات واجع حل محطوط عليه Zero بيصير
+
+328
+00:28:16,220 --> 00:28:19,600
+الطالب بيديهو مخ خلبش كل مخ عشان يتبرمج يقولوا
+
+329
+00:28:19,600 --> 00:28:24,460
+Zero صح هيك بيصير عامل و هي لأ .. وين ما يكون
+
+330
+00:28:24,460 --> 00:28:27,940
+الكون المعلومة مراك يقول حد بده يشكك فيها أي كلام
+
+331
+00:28:27,940 --> 00:28:30,800
+مش هو على ورقة أي كلام حتى لو في كتاب بده يشكك
+
+332
+00:28:30,800 --> 00:28:33,400
+فيها مافيش عندي إشكالية أنا بقى يبقى أطلع
+
+333
+00:28:33,400 --> 00:28:40,510
+tangential acceleration هادي ولا هادي؟كان صح ولا
+
+334
+00:28:40,510 --> 00:28:44,610
+لا؟ معناته عشان انا اجيب هادي، بدي هادي او لا لا؟
+
+335
+00:28:44,610 --> 00:28:50,550
+بجي بتطلع، هادي هيكMG وهذا شد طبعا واحد بيقول مرات
+
+336
+00:28:50,550 --> 00:28:52,790
+الرسم مابتكون شحن بين الرسومات وبين البكار وبين
+
+337
+00:28:52,790 --> 00:28:56,790
+المنجلة لأ بيقولك وين المماس بيقولك هذا معقول مماس
+
+338
+00:28:56,790 --> 00:29:00,270
+مش بالظبط مماس لأ هى مماس ايه اللي بيخليني أعرف
+
+339
+00:29:00,270 --> 00:29:04,070
+هذا مماس بقول هو المماس مش دايما لازم يكون عمودي
+
+340
+00:29:04,070 --> 00:29:07,530
+عن نص القطر بما أنه نص القطر أفقي إذا العمودي عليه
+
+341
+00:29:07,530 --> 00:29:12,130
+عمودي و MG عمودية نص عمودية إذا هذه مماس إذا بقول
+
+342
+00:29:12,130 --> 00:29:15,710
+MG بسوى M E Theta
+
+343
+00:29:18,990 --> 00:29:27,610
+9.8 G 9.8 تشوفوا مصعبهم هذا هو طب مين يقول كم جميل
+
+344
+00:29:27,610 --> 00:29:31,910
+هي القوة المركزية عند النقطة هذه T T بسوء عن V
+
+345
+00:29:31,910 --> 00:29:38,110
+تربيع على R وانتهى السؤال تمام نيجي للأسئلة اللي
+
+346
+00:29:38,110 --> 00:29:44,010
+بتكون فوق بعض من غلباكم هذه هايهان
+
+347
+00:29:44,010 --> 00:29:50,860
+وهايهانهذا اسمه M وهذا capital M ومئة مرة حكينا عن
+
+348
+00:29:50,860 --> 00:29:54,920
+الخزانة والشاحن وكنت تضحك عليها وعندما تنجري
+
+349
+00:29:54,920 --> 00:29:58,600
+الخزانة والشاحن اللي كنت تنفق بعض بصيغة دي مثلًا
+
+350
+00:29:58,600 --> 00:30:02,920
+مثلًا مثلًا كنا جيت أنا بدي أسحب حابها دي
+
+351
+00:30:06,950 --> 00:30:11,370
+فيش احتكاك تتحرك هذه؟ لأ، بقولنا الخزانة بتبقى لها
+
+352
+00:30:11,370 --> 00:30:14,390
+فضارة و الشاحنة اللي صاحلة عليه بروح بقى ع رفعه و
+
+353
+00:30:14,390 --> 00:30:17,850
+الخزانة بتبقى لها زي ما هي إذا مافيش احتكاك إيش
+
+354
+00:30:17,850 --> 00:30:22,710
+معناته؟ مين بحلت الخزانة؟الاحتكاك اللي بحرك
+
+355
+00:30:22,710 --> 00:30:26,990
+الخزانة الاحتكاك إذا القوة المسؤولة عن تحريك
+
+356
+00:30:26,990 --> 00:30:30,870
+الخزانة هو الاحتكاك بينه من ومين؟ بين الخزانة
+
+357
+00:30:30,870 --> 00:30:35,410
+والشعن، بين الكتلة هادى وكتلة هادى، إذا ترجموا مين
+
+358
+00:30:35,410 --> 00:30:40,510
+اللي بيحرك القوة؟ قوة، بالتالي لما أجي أقول هادي
+
+359
+00:30:40,510 --> 00:30:44,910
+مين حركها؟ دي واحدة ضغوط، إيه؟ إذا المفروض أنا على
+
+360
+00:30:44,910 --> 00:30:48,650
+طول لما أجي أرسلهم M لازم يكون في عندي قوة هنا،
+
+361
+00:30:48,650 --> 00:30:55,350
+ماشيها هيكهكما هي رايحة تماس طبعا بالإضافة إلى MG
+
+362
+00:30:55,350 --> 00:30:58,830
+والشيان
+
+363
+00:30:58,830 --> 00:31:05,080
+قوة الشحن على الخزانةقوة الشحن على الخزانة طيب قوة
+
+364
+00:31:05,080 --> 00:31:08,460
+الخزانة على الشحن بس بالتانية هجيت أنا بارسه مع
+
+365
+00:31:08,460 --> 00:31:11,840
+إيه بارسه مافيه body diagram للخزانة فبدي القوة
+
+366
+00:31:11,840 --> 00:31:14,300
+اللي على الخزانة مش اللي على غيرها اللي على
+
+367
+00:31:14,300 --> 00:31:19,400
+الخزانة بدي قوة الجالبية على الخزانة MG قوة الشحن
+
+368
+00:31:19,400 --> 00:31:23,320
+على الخزانة N قوة الاحتكاك اللي جاية من الشحن على
+
+369
+00:31:23,320 --> 00:31:24,400
+الخزانة F
+
+370
+00:31:27,410 --> 00:31:32,690
+طيب حلو قلت عيدنا و كنت حاضرا هذي راحت ع جباليا
+
+371
+00:31:32,690 --> 00:31:35,630
+هذي بتبقى في غزة ولا بتبقى .. بتبقى ع رفاح؟ بتبقى
+
+372
+00:31:35,630 --> 00:31:42,550
+ع جباليا ايه ات معها احكي ات جيتها انت .. بدي اجرب
+
+373
+00:31:42,550 --> 00:31:46,490
+الطاولة هذي شايفها ال remote؟ بدي اجرب الطاولة
+
+374
+00:31:46,490 --> 00:31:51,650
+بتيجي معايا ولا بتفوق عليكي؟ بتيجي معاك ولا بتيجي
+
+375
+00:31:51,650 --> 00:31:52,310
+عندي و لا عندك؟
+
+376
+00:31:55,260 --> 00:31:59,600
+لأ، والله مابتروحه، خُرها ماراحت عليكي، جاري
+
+377
+00:31:59,600 --> 00:32:02,020
+بيرميها إلى بكرة، عمرها ما تيجي، أيش مابديها
+
+378
+00:32:02,020 --> 00:32:07,900
+عليكي؟ والله مابتروحش عليها برضه، اتسجل، مابتروحش
+
+379
+00:32:07,900 --> 00:32:12,660
+عليها في كل حوالي، جاري فيه لبّك يزهجي، تمام؟ حُط
+
+380
+00:32:12,660 --> 00:32:16,440
+شغلتين، ويعمل بقوة ويعمل بنعومة ويعمل بقفونة،
+
+381
+00:32:16,440 --> 00:32:20,900
+ويشوف الجسم ميروح عليه وينجعله ويرجعش، ميرجعش، أه
+
+382
+00:32:23,050 --> 00:32:27,070
+بس أكمل، بس أكمل عزيزي تكتمل الصورة، الآن اجي
+
+383
+00:32:27,070 --> 00:32:32,610
+لcapital M، اتسنى شوية واحدة واحدة، هاجيت هذا
+
+384
+00:32:32,610 --> 00:32:36,430
+capital M وزنها لا عوض ولا قوة ولا بلا، بنفهش، هذا
+
+385
+00:32:36,430 --> 00:32:41,810
+مضمون ولا .. طيب، هذا جالي أملس، نفترض، في احتكاك،
+
+386
+00:32:41,810 --> 00:32:46,030
+بقوله هذه في كمان أف شرطة، جالي شيها دي، قولتله
+
+387
+00:32:46,030 --> 00:32:49,610
+هذه قوة الشحن على الخزانة،إذاً الـ Newton التالت
+
+388
+00:32:49,610 --> 00:32:54,190
+بيقول لابد الخزانة تأثر على الشحن بنفس القوة مقدرة
+
+389
+00:32:54,190 --> 00:33:00,010
+وعكسها اتجاهها، هدفية تمام؟ قال الشيها هادي قولت
+
+390
+00:33:00,010 --> 00:33:03,370
+له هادي قوة الشحن على الخزانة العمودية إذاً برضه
+
+391
+00:33:03,370 --> 00:33:06,990
+لازم الخزانة تتغطى على الشحن هيك قال ليه تظل؟ قال
+
+392
+00:33:06,990 --> 00:33:09,410
+إن هو الشحن مش موجود على عرض و لا عالد في السماء،
+
+393
+00:33:09,410 --> 00:33:15,130
+موجود على عرض إذاً قوة الأرض على الشحن إن شرطةوها
+
+394
+00:33:15,130 --> 00:33:20,070
+دي أف من هالشطارة ماقالك أنا بجوغ فيه قاعد تمام؟
+
+395
+00:33:20,070 --> 00:33:22,850
+حلو، مين اللي اتطور ساعدتني هنا؟ و إيه الشيء اللي
+
+396
+00:33:22,850 --> 00:33:26,130
+بدك إياه؟
+
+397
+00:33:26,130 --> 00:33:32,210
+إيش هي؟ إذا وقتش وجعت، إذا كانت هذه سريعة بتيخ،
+
+398
+00:33:32,210 --> 00:33:37,330
+ابتجع، بصير هذه بتفوت هذه، بمعنى آخر، بس ابتجع،
+
+399
+00:33:37,330 --> 00:33:43,270
+بتجيش عندك، بتظلها عندك، بترجعش، بتظلها واقفة،
+
+400
+00:33:43,270 --> 00:33:50,650
+تمام؟وليش؟ بيقوللي التالي إن هذه إنها تسارق وهذه
+
+401
+00:33:50,650 --> 00:33:53,990
+مشكلتها إنها قيمة معينة أكتر من الـ mu s ممنوع
+
+402
+00:33:53,990 --> 00:34:00,950
+تاخد صح ولا لأ؟ إذا كانت الـ mu s في ال M بتسويش M
+
+403
+00:34:00,950 --> 00:34:05,660
+في ال accelerationبتمشيش معها، بتقول لها دي ال
+
+404
+00:34:05,660 --> 00:34:08,440
+acceleration تبعتك، مانتقلش انا انا امشي معها،
+
+405
+00:34:08,440 --> 00:34:11,700
+بصير ايه ال acceleration الخاصة بيه؟ أصغر،
+
+406
+00:34:11,700 --> 00:34:14,660
+فبينفصلوا عن بعض، و لما ينفصلوا عن بعض بتسجد،
+
+407
+00:34:14,660 --> 00:34:18,760
+فاهمتيني؟ لهم
+
+408
+00:34:18,760 --> 00:34:22,060
+قالوا بيمشوا مع بعض، معناته ال acceleration أصلا
+
+409
+00:34:22,060 --> 00:34:25,360
+عامل حسابه أنه مايكونوش ينفصلوا عن بعض، بيكونوا مع
+
+410
+00:34:25,360 --> 00:34:33,540
+بعضتحكي اه بالظبط
+
+411
+00:34:33,540 --> 00:34:37,360
+زميلتكم بتسأل التالي بيقول هذه عملنا فيها على
+
+412
+00:34:37,360 --> 00:34:41,340
+اعتبار انه فهمناها على اعتبار انه فهمناها جالي طيب
+
+413
+00:34:41,340 --> 00:34:46,960
+انا بدي اعمل التالي بدي اجهها هذه كمان
+
+414
+00:34:46,960 --> 00:34:56,190
+هجيت انا هاجي راح بسيطة بدي اجهها هذاانجرت الطاولة
+
+415
+00:34:56,190 --> 00:35:00,430
+معاك؟ لأ وكتيف تنجر الطاولة معاك؟ إذا كان محتكاك
+
+416
+00:35:00,430 --> 00:35:05,770
+من الطاولة والأرض، خفيف جدا، صح ولا لأ؟ بمعنى آخر،
+
+417
+00:35:05,770 --> 00:35:10,030
+انت حطوا هذه الورقة، وحطوا عليها حاجة تجيلة و جروا
+
+418
+00:35:10,030 --> 00:35:13,290
+الشغل تجيلة و بتمسكوا الورقة، تنجر الطاولة معاك؟
+
+419
+00:35:13,290 --> 00:35:18,470
+لأن مرات تنجر و مرات تنجرش، إذن لما دي يرقصهم في
+
+420
+00:35:18,470 --> 00:35:22,580
+body diagram الأهملكن لو كانت كل الأحوال السطحين
+
+421
+00:35:22,580 --> 00:35:28,000
+هدول الورقة و اللي فوقها مافيش بينهم احتكاة جيج
+
+422
+00:35:28,000 --> 00:35:30,380
+مايتكون اللي فوقها تجيلة ولا خفيفة و جبالته فوقها
+
+423
+00:35:30,380 --> 00:35:35,780
+تتحرك الورقة؟ لأ إذا مين بتتحرك الورقة؟ احتكاة صح
+
+424
+00:35:35,780 --> 00:35:39,100
+ولا لأ؟ إذا لما بدي أرسم في بدي دي اجراب هنا بدي
+
+425
+00:35:39,100 --> 00:35:46,400
+أسنعكم F و N و F S أو F K و هنا M G هان ها دي
+
+426
+00:35:46,400 --> 00:35:52,180
+بترعكس ايه؟هاذي .. مين اللي حرك هاذي؟ هاذي مين
+
+427
+00:35:52,180 --> 00:35:55,260
+اللي حرك هاذي؟ هاذي هاذي أف أس لعتحت في الأضعفة
+
+428
+00:35:55,260 --> 00:35:59,400
+الـMG وفي عمكم N شرقة وفي عمكم N وإذا هنا في
+
+429
+00:35:59,400 --> 00:36:06,620
+احتكاك يكون فيها أف شرقة انت مكتبتش في أف أس
+
+430
+00:36:06,620 --> 00:36:11,880
+المباني اللي كتلة كده؟ هي كتبت .. كيف؟ كتبت في
+
+431
+00:36:11,880 --> 00:36:16,090
+ذنتي عليه واحد كده؟ هجيت من المحطةإن ما حد
+
+432
+00:36:16,090 --> 00:36:25,370
+فبالتالي إيش بعيدهم؟ هاي
+
+433
+00:36:25,370 --> 00:36:32,470
+الصغيرة هاي F و هاي F S و هاي N و هاي small M G
+
+434
+00:36:32,470 --> 00:36:40,710
+هاي الكبيرة هاي M G و هاي N شرقة و هاي M مفيش F
+
+435
+00:36:40,710 --> 00:36:43,650
+هنا هادي عكسها يعني sorry هدي فوقها
+
+436
+00:36:46,590 --> 00:36:50,990
+محطة NG ماشي احنا بنحرج اللي فوق يعني ماشي لازم
+
+437
+00:36:50,990 --> 00:36:55,870
+يكون FK وكتاش حاجة نمشي طب و ليش؟ وكتاش بتكون FK
+
+438
+00:36:55,870 --> 00:37:01,810
+وكتاش بتكون FS إذا مرسوا عن بعض بقول FK إذا ماشيوا
+
+439
+00:37:01,810 --> 00:37:05,550
+مع بعض FS فهنا أنا على اعتبار أنهم ماشيين مع بعض
+
+440
+00:37:05,550 --> 00:37:09,590
+لكن لو واحدة منهم ثابتة ساعتها بصين FK احكيها
+
+441
+00:37:17,280 --> 00:37:21,360
+وقتيش تكون افاس وقتيش تكون افكى يعني بس اسمعوني
+
+442
+00:37:21,360 --> 00:37:28,840
+بقى طالما صنع رزملكم حاجة
+
+443
+00:37:28,840 --> 00:37:33,680
+هذه في عندي مشكلة فيها؟ حاجة هذه موجودة على السطح
+
+444
+00:37:33,680 --> 00:37:37,200
+ولا لأ؟ إذا نزعي فيها خوطة تتلاقى تعكسها ولا لأ؟
+
+445
+00:37:38,900 --> 00:37:43,780
+هذه الاحتكاك اللي هي لما جيت عشرة على هذه بقولت في
+
+446
+00:37:43,780 --> 00:37:48,900
+رد فعل معاكس لها دي بس مين الكلب اللي بتسأل
+
+447
+00:37:48,900 --> 00:37:53,940
+السؤال؟ مع الأرض؟ إذا فيها أيوة بتخطيه إذا جالك
+
+448
+00:37:53,940 --> 00:38:01,780
+سموس، خطهوش احكي يا بنات اسمعوني احكي الـnormal
+
+449
+00:38:01,780 --> 00:38:07,820
+بيساوي أم ايه؟ أم الـocean؟ أم اللي تحت .. يعني أم
+
+450
+00:38:07,820 --> 00:38:13,720
+بيساوي أم ..شوفوا .. تتعلميش تحفظ القوالب؟ بديش
+
+451
+00:38:13,720 --> 00:38:16,780
+أحفظ .. بس أنا .. أنا بديش أجاوبك لأنه ما عرفتش
+
+452
+00:38:16,780 --> 00:38:20,400
+اللي بدك إياه، عندك في مخك سؤال معين انت، بديك
+
+453
+00:38:20,400 --> 00:38:25,380
+تحفظيه، إن مالهوش قانون، إن بتج