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Thin ring rolling down a moving ramp

  1. Mar 31, 2012 #1
    1. The problem statement, all variables and given/known data
    A pipe(thin ring)has a mass of 500kg and radius of 0.5m and rolls without slipping down a 300kg ramp. If the ramp is free to move horizontally(frictionless, determine the acceleration of the ramp. (angle of ramp is 30 degrees)


    2. Relevant equations
    Fs (static friction) = Resultant torque
    Linear conservation of momentum(in horizontal axis)


    3. The attempt at a solution

    I am trying to get the acceleration of the ramp, i found the acceleration of the pipe using Principle of Angular momentum and I got Ap = 2.4525.

    I then used the linear conservation of momentum which is 0 = (Vpcos30 - Vramp)i
    then i differentiated both sides to get 0.866Ap - Aramp = 0 (cos30 = 0.866) which I then used to attempt to get Aramp. But my answer turned out to be wrong. What am i doing wrong here? any help? the solution in my book is Aramp = 1.7336
     
  2. jcsd
  3. Mar 31, 2012 #2

    tiny-tim

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    welcome to pf!

    hi darkdraggy! welcome to pf! :smile:
    erm :redface:

    masses! :wink:
     
  4. Mar 31, 2012 #3
    hello! i did use them in my equation but i did not get a correct answer.

    help anyone please? :(
     
    Last edited: Mar 31, 2012
  5. Mar 31, 2012 #4

    anybody can help?
     
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