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Rolling motion

  1. Feb 1, 2012 #1
    1. The problem statement, all variables and given/known data
    A uniform sphere rolls down a 30 degree incline θ from height h. Initially, the solid is at rest. Find the acceleration for the center of the mass of the solid.

    I am not sure where to start with this problem. I started with the energy formulas, but I am not sure how to find the acceleration of the center of mass from there. I just need a guide on what formulas or setup to use, thanks!

    2. Relevant equations
    Translational and rotational motion equations

    3. The attempt at a solution

    then I solved for v:
    Last edited: Feb 1, 2012
  2. jcsd
  3. Feb 1, 2012 #2


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    Homework Helper

    Hi, physikx,

    The potential energy is mgh (h is the height of the (slope). Correct your result for v.

    V is the speed of the CM at the end of the slope. Find the length travelled, and use the relation s=v^2/(2a) to determine the acceleration of the CM.

  4. Feb 1, 2012 #3
    Hey ehid,

    Thank you so much for the help! I was able to setup the problem and get the answer. I really appreciate the guidance.

  5. Feb 1, 2012 #4


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    Homework Helper

    You are welcome.

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