A small spherical ball is released from a point at a height h on a rough track shown in figure (10-E13). Assuming that it does not slip anywhere, find its linear speed when it rolls on the horizontal part of the track.

Question

Philoid · Accepted Answer

Let the mass of the small ball = m

The velocity of the ball = v

Radius of the ball= R

Let it reaches to the height = h

Since the surface is rough, the sphere does not slip,

Potential energy of the sphere converts into angular kinetic energy and liner kinetic energy

Hence, we can write,