A hollow sphere (mass M, radius R) starts from rest at the top of a hill of height H. It rolls down the hill without slipping. Find an expression for the speed of the ball's center of mass once it reaches the bottom of the hill.
As the hollow sphere is moving without slipping through the hill , there is a translational kinetic energy and also rotational kinetic energy of the sphere. Using energy conservation we can find the speed of the centre of mass of the hollow sphere
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