A solid sphere rolling on a rough horizontal surface with a linear speed u collides elastically with a fixed, smooth, vertical wall, Find the speed of the sphere after it has started pure rolling in the backward direction.

Question

Philoid · Accepted Answer

Given:

Linear speed= u

Let the solid sphere collides with the wall and its velocity after collision is v towards left.

Angular momentum of the sphere=

After collision, it rebounds and starts rolling. Now, let the velocity of the sphere be v’ and the angular velocity be

Therefore, angular momentum of the sphere =

Using both the equations