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

Does a perfect ball roll or slide down a perfectly frictionless ramp?

2. Relevant equations

3. The attempt at a solution

Let P be the contact point of the ball with the ramp.

Then it appears to me there is a torque (about the contact point, P) acting on the ball due to its weight, W. Therefore it should rotate ie roll.

Is this right?

(The torque has magnitude W*R*tan(Theta) where R is the radius of the ball and Theta is the angle of the ramp. The Normal force does not exert a torque as it passes through P. )

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# Roll or slide?

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