How to calculate angle given coefficent of friction

  • Thread starter Eats Dirt
  • Start date
  • #1
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Homework Statement


two objects are suspended on a platform one weighs 10 kg and the other weighs 20 kg, the coefficent of static friction is 0.4


Homework Equations



how to find angle each of the objects start to slide

The Attempt at a Solution



OK so Us=Fs/Fn
0.4= Fs/Fn
Fg=9.8(10) for the 10 kg object
using the vertical and horizontal components of the fg vector i get
Fn= ma cos(theta)
Fs= ma sin(theta)
U=fs/fn
0.4=sin(theta)
cos(theta) mass and acceleration cancel out
this is where i get stuck because i have theta over theta they should cancel out and i will be left with a broken equation :( any help would be appreciated.

Also if mass cancels out how am i supposed to get different angles for each of the boxes which weigh different amounts?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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31
You should have for motion that Fs≥μFn

so you have mgsinθ ≥ μmgcosθ. (the minimum angle of theta would be when they are equal)

Which gives you a simple relation with θ and μ.
 
  • #3
92
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You should have for motion that Fs≥μFn

so you have mgsinθ ≥ μmgcosθ. (the minimum angle of theta would be when they are equal)

Which gives you a simple relation with θ and μ.

i dont understand how you would isolate theta without it canceling out or being 1
 
  • #4
rock.freak667
Homework Helper
6,223
31
i dont understand how you would isolate theta without it canceling out or being 1

Remember the identity tanθ = sinθ /cosθ ?
 

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