Q. 73

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.



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,







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