All Problems

Dynamics of a solid body

Problem 1.263

A uniform ball of radius rr rolls without slipping down from the top of a sphere of radius RR. Find the angular velocity of the ball at the moment it breaks off the sphere. The initial velocity of the ball is negligible.

Reveal Answer
ω=10g(R+r)/17r2\omega=\sqrt{10 g(R+r) / 17 r^{2}}
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