# Tension with horizontal kinetic friction

1. Feb 20, 2008

### AnkhUNC

[SOLVED] Tension with horizontal kinetic friction

1. The problem statement, all variables and given/known data
In Figure, block 1 of mass m1 = 1.8 kg and block 2 of mass m2 = 1.3 kg are connected by a string of negligible mass. Block 2 is pushed by force of magnitude 20 N and angle θ = 39°. The coefficient of kinetic friction between each block and the horizontal surface is 0.22. What is the tension in the string?

http://edugen.wiley.com/edugen/courses/crs1650/art/qb/qu/c06/fig06_61new.gif

2. Relevant equations

3. The attempt at a solution

This is what I end up with but its wrong:
20*cos(39)-20*sin(39)*0.22-
1.3*g*0.22-T=1.3*a

and
T-1.8*g*0.22=1.8*a

Solving for T =

a=T/1.8-g*0.22

20*cos(39)-20*sin(39)*0.22-
1.3*g*0.22-T=1.3*(T/1.8-g*0.22)

(20*cos(39)-20*sin(39)*0.22-
1.3*g*0.22+1.3*g*0.22)*1.3/(1/1.8+1)=T

10.7 N

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Discussions: Tension with horizontal kinetic friction
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8837069272994995, "perplexity": 1533.4059328651788}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-30/segments/1500549423808.34/warc/CC-MAIN-20170721182450-20170721202450-00296.warc.gz"}