(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Uniform ball or mass m and radius r rolls on a horizontal plane without sipping, at the same time moving along a circular path of radius R. Speed of the center of mass is constant and equals v. Find it's kinetic energy.

2. Relevant equations

I=2/5 m r^2

3. The attempt at a solution

KE of ball's translation T1=(m v^2)/2

KE of ball's rotation T2=(I w^2)/2 ( w - angular velocity, from w r = v => w= v/r)

My problem is with the ball moving along a circle of radius R. Where does it come into play?

Do i have to add the KE of ball rotation around the center of the circle?

Any help will be appreciated.

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# Homework Help: KE of ball rolling in a plane

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