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Moment of inertia for ball rolling up a ramp.

  1. Jul 20, 2012 #1
    1. The problem statement, all variables and given/known data
    A ball with mass 1.0 kg and radius 0.20m rolls without slipping along level ground with a speed of 10 m/s. The ball then rolls up an incline reaching a maximum vertical height of 8.0 m. What is the moment of inertia of the ball? (Do not assume the ball is a uniform sphere).

    m=1.0kg
    r=0.20m
    v=10m/s

    2. Relevant equations
    I=(2/5)mr^2


    3. The attempt at a solution
    Since I really have no clue on where to start this one. I guess I'll focus in on that since it's not a uniform sphere I can still assume it's a ball and use the above formula to plug it in and solve it right?

    It comes out to 0.016
     
  2. jcsd
  3. Jul 20, 2012 #2

    TSny

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    Re: Moment of inertia for balling rolling up a ramp.

    No, the formula you stated is only valid for a uniform solid sphere. So, you can't assume the formula applies in this problem.

    Think of a general important principle that you could use to solve this problem.
     
  4. Jul 20, 2012 #3
    Re: Moment of inertia for balling rolling up a ramp.

    Conservation of energy?
     
  5. Jul 20, 2012 #4

    TSny

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    Gold Member

    Re: Moment of inertia for balling rolling up a ramp.

    Yes.:smile: Give it a try.
     
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