NCERT Class 11 Physics Chapter 4 Motion in a Plane Notes - Download PDF

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# NCERT Class 11 Physics Chapter 4 Motion in a Plane Notes - Download PDF

Edited By Vishal kumar | Updated on Jan 30, 2024 03:12 PM IST

Hey, there! Ever wonder how things move in all directions? Well, CBSE class 11 physics ch 4 notes have you covered with the exciting topic "Motion in a Plane." We're talking about forces, acceleration, and displacement, and what makes them unique is that they can be expressed not only numerically but also in directions.

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Because this chapter is important in exams, we've provided you with some useful CBSE Motion in a Plane class 11 notes. And, guess what? They are not only simple to understand, but they are also available for free in PDF format! These Motion in a Plane notes class 11 are like cheat codes for cracking the code of forces and movements in various directions.

So, if you're up for an easy-breezy physics adventure, grab your notes and let's make understanding Motion in a Plane a breeze! It's physics made simple.

Also, students can refer,

## SCALARS AND VECTORS

### Scalar

• Scalars have only magnitude, which is calculated by multiplying the numerical value by the physical quantity's unit.
• Scalar quantities include mass, speed, and distance.
• Scalars can be manipulated with simple algebraic operations such as addition, subtraction, and multiplication.

### Vector

• Vectors have both magnitude and direction.
• They follow both the commutative law of addition And the law of parallelogram addition.
• Vector quantities include displacement, velocity, acceleration, and force.
• The magnitude of a vector is represented byThe vectors are shown by an arrow over the symbols that represent them.
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### Representation of vector

A vector can be represented geometrically as a directed line segment with an arrowhead. The arrow's length represents the magnitude of the vector, and it points in the same direction as the vector itself.

### Types of Vector

• Equal vectors: Vectors A and B are equal if their magnitudes and directions are the same.
• Parallel vectors: The vectors A and B are parallel when:

1. Both vectors have the same direction.

2. One vector is a scalar (positive) non-zero multiple of the other vector.

• Antiparallel vectors: When two vectors, A and B, have opposite directions, they are anti-parallel.

One vector is a non-zero, negative multiple of the other vector.

• Zero vector: A zero vector is one that has zero magnitude and an arbitrary (unknown) direction.

• Unit vector:

A unit vector is a vector with a fixed magnitude that points in a specific direction. A vector (A) can be expressed as the product of a unit vector (Â) in its direction and magnitude.

A unit vector has no dimensions or units. Unit vectors along the positive x, y, and z axes of a rectangular coordinate system are denoted by î, ˆ j, and k̂, respectively. such that

## Addition of Vectors

Vector addition is accomplished using either the parallelogram law or the triangle law:

(A) Parallelogram law of addition of vectors: If two vectors A and B are represented by two adjacent sides of a parallelogram, both pointing outward from a common point (with their tails coinciding), then the diagonal drawn through the intersection of these two vectors represents the resultant vector.

(B) Triangle law of addition of vectors: According to the Triangle Law of Vector Addition, if two vectors are represented by two sides of a triangle, their sum or resultant vector is represented by the third side of the triangle, but in the opposite direction.

## Multiplication of Vectors

Scalar Product (Dot Product): The scalar product or dot product of two vectors , denoted as , is defined as the product of their magnitudes multiplied by the cosine of the angle (θ) between them. Mathematically, it is expressed as:

Vector Product (Cross Product): The vector product or cross product of two vectors, denoted as B, is a vector quantity defined as follows:

Lami’s Theorem: According to Lami's Theorem, if three forces acting at the same point are in equilibrium, each force is proportional to the sine of the angle formed by the other two forces.

## Projectile Motion

A projectile is a body that is launched with some initial velocity, excluding vertical upward or downward motion. Once in motion, the projectile moves under the influence of gravity alone, without any additional propulsion from an engine, fuel, or external source. The trajectory of a projectile is the path it follows during its motion.

• For motion along X-axis,

• For motion along Y-axis,

• Angular projection of projectile :

1. Time of flight (T):

2. Maximum height(h):

3. Horizontal range(R):

4. Maximum horizontal range(Rmax):

Note: For maximum range, θ should be 45 degrees.

### Equation of trajectory

The path taken by the body is referred to as trajectory. To establish the trajectory, we must eliminate time and find the relationship between y and x.

 Horizontal Motion Vertical Motion

## Relative Motion

Relative motion is the observation of one object's motion from the perspective of another. It is the study of one object's motion as seen by an observer in a different frame of reference.

Case I: If you see a car going on a straight road, you say the automobile's velocity is 20 mph, which implies the car's velocity relative to you is 20 mph, or the car's velocity relative to the ground is 20 mph (as you stand on the ground).

Case II: If you look inside this car, you'll notice that it's at a standstill while the road is moving backwards. Then you'd say the car's velocity in relation to the car is 0m/s.

Mathematically, velocity of B relative to A is represented as

### Riverboat problems

We come across the following three terms when dealing with riverboat issues:

vr'= the river's absolute velocity

vbr'= a boatman's velocity in relation to the river, or a boatman's velocity in still water

vb'= boatman’s absolute velocity

## Why Motion in a Plane Notes Class 11 is Important

Motion in a Plane is an important topic in 11th-grade physics for several reasons.

1. Foundation of Advanced Concepts: Understanding motion in a plane lays the groundwork for more advanced physics topics, particularly three-dimensional motion and vector calculus in higher classes.
2. Real-World Applications: Many physical phenomena, such as the motion of projectiles, planets, and vehicles, take place in two dimensions or on a plane. Learning about motion in a plane helps students understand real-world physics applications.
3. Problem-Solving Skills: Analysing motion in a plane entails working with vectors, components, and various mathematical tools. This improves students' problem-solving abilities and prepares them for more challenging problems in physics and engineering.
4. Projectile Motion: The study of motion in a plane includes an examination of projectile motion, which is essential for understanding the motion of objects thrown or projected into the air. This applies to sports, engineering, and a variety of other fields.
5. Connection with Circular Motion: Concepts of circular motion are frequently introduced when studying plane motion. This connection helps students understand the principles of circular motion, which is common in many physical systems.
6. Preparing for Engineering and Science: Motion in a plane is a fundamental concept that underpins more advanced topics in engineering and science. Fluid dynamics, orbital mechanics, and other topics build on the fundamental principles of plane motion.

## Key Features of Physics Class 11 Chapter 4 Notes PDF

• Aligned with Curriculum: These Motion in a Plane class 11 notes are organised in accordance with the Class 11 Physics curriculum, ensuring coverage of all essential topics outlined in the CBSE Syllabus.
• Clarity and simplicity: These Motion in a Plane notes class 11, written in simple and clear language, are intended to help students understand complex concepts about plane motion.
• Comprehensive coverage: The cbse class 11 physics ch 4 notes provide a comprehensive overview of the chapter, summarising key points, formulas, and principles to help students gain a holistic understanding.
• PDF Resources: These ch 4 physics class 11 notes are easily accessible in PDF format and are completely free. Whether in physical or digital form, students can use them for flexible studying.

Significance of NCERT Class 11 Physics Chapter 4 Notes

Motion in a plane Class 11 notes are valuable for reviewing the chapter and grasping key concepts. These NCERT Class 11 Physics chapter 4 notes are advantageous for competitive exams like VITEEE, BITSAT, JEE Main, NEET, as they encapsulate essential topics from the CBSE Physics Syllabus. The PDF format allows convenient offline study.

## NCERT Class 12 Notes Chapter-Wise

 NCERT Class 11 Physics Chapter 1 Notes NCERT Class 11 Physics Chapter 2 Notes NCERT Class 11 Physics Chapter 3 Notes NCERT Class 11 Physics Chapter 4 Notes NCERT Class 11 Physics Chapter 5 Notes NCERT Class 11 Physics Chapter 6 Notes NCERT Class 11 Physics Chapter 7 Notes NCERT Class 11 Physics Chapter 8 Notes NCERT Class 11 Physics Chapter 9 Notes NCERT Class 11 Physics Chapter 10 Notes NCERT Class 11 Physics Chapter 11 Notes NCERT Class 11 Physics Chapter 12 Notes NCERT Class 11 Physics Chapter 13 Notes NCERT Class 11 Physics Chapter 14 Notes NCERT Class 11 Physics Chapter 15 Notes

### Subject Wise NCERT Solutions

 NCERT Books for Class 11 NCERT Syllabus for Class 11

### Frequently Asked Question (FAQs)

1. What do you mean by Unit vector?

A unit vector is a vector with a magnitude of 1, commonly denoted by a hat symbol (), used to represent direction without affecting magnitude

2. Is Motion in a Plane class 11 notes useful for JEE?

Yes, Motion in a Plane Class 11 notes are useful for JEE (Joint Entrance Examination) preparation. These notes cover essential concepts from the CBSE Physics Syllabus and can serve as a valuable resource for understanding and revising key topics related to motion in a plane. JEE often includes questions that require a strong foundation in physics, and having comprehensive notes can aid in effective preparation for the examination.

3. Identify whether the statement is correct or incorrect. A position vector is a displacement vector.

The following statement is correct: "A displacement vector is a location vector." In class 11th physics chapter 4 notes the position or condition of any point that is similar to the position vector is represented by a displacement vector. To some extent, the position and displacement vectors are comparable. The displacement vector differs from the position vector in that it describes the position of any point in relation to other points rather than the origin. The position vector, on the other hand, specifies the position of any point in relation to the origin. This is how the truth of the statement is demonstrated.

4. What do you mean by tensor?

In NCERT Class 11 Physics chapter 4 notes the term tensor refers to a physical quantity that has no direction. Instead, it has a variety of values pointing in diverse directions. As a result, it is neither a scalar nor a vector quantity. A moment of inertia of any object, for example, has no direction but a variety of values in different directions. As a result, it is neither a scalar nor a vector quantity. It is an illustration of a tensor. Tensors include stress, density, strain, and refractive index, among others.

5. Explain one-dimensional motion

In ncert notes for Class 11 Physics Chapter 4 Only a single coordinate determines the position of each item in one-dimensional motion. Only one plane out of three depicts the movement of an object with respect to the starting point or origin in this sort of motion. Some instances are as follows: an automobile moving in a straight line, a train moving in a straight line, a man cycling on a straight road, an object falling on the ground in a straight line due to gravity

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Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

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##### Reporter

Individuals who opt for a career as a reporter may often be at work on national holidays and festivities. He or she pitches various story ideas and covers news stories in risky situations. Students can pursue a BMC (Bachelor of Mass Communication), B.M.M. (Bachelor of Mass Media), or MAJMC (MA in Journalism and Mass Communication) to become a reporter. While we sit at home reporters travel to locations to collect information that carries a news value.

2 Jobs Available
##### Corporate Executive

Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

2 Jobs Available
##### Multimedia Specialist

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications.

2 Jobs Available
##### Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

5 Jobs Available
##### Quality Controller

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product.

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available

A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans.

2 Jobs Available
##### Structural Engineer

A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software.

2 Jobs Available
##### Process Development Engineer

The Process Development Engineers design, implement, manufacture, mine, and other production systems using technical knowledge and expertise in the industry. They use computer modeling software to test technologies and machinery. An individual who is opting career as Process Development Engineer is responsible for developing cost-effective and efficient processes. They also monitor the production process and ensure it functions smoothly and efficiently.

2 Jobs Available
##### AWS Solution Architect

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party.

4 Jobs Available

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems.

4 Jobs Available
##### Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### Information Security Manager

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack

3 Jobs Available
##### Automation Test Engineer

An Automation Test Engineer job involves executing automated test scripts. He or she identifies the project’s problems and troubleshoots them. The role involves documenting the defect using management tools. He or she works with the application team in order to resolve any issues arising during the testing process.

2 Jobs Available
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