A thin spherical shell lying on a rough horizontal surface is hit by a cue in such a way that the line of action passes through the center of the shell. As a result, the shell starts moving with a linear speed u without any initial angular velocity. Find the linear speed of the shell after it starts pure rolling on the surface.

Question

Philoid · Accepted Answer

Given:

Let us consider the mass of the shell is m with the velocity of the shell is v and while moving the shell will experience frictional force in backward direction. Hence, the motion will be purely rolling.

At the point A, the external torque is zero

Hence, using law of conservation of angular momentum