A small sphere of mass m and radius r rolls without slipping on the insides of a large hemisphere
Channel: Doubtnut
Date: 2020-08-30

A small sphere of mass m and radius r rolls without slipping on the insides of a large hemisphere of radius R whose axis of symmetry is vertical. Its starts at the top from rest. What is the kinetic energy of the small sphere at the bottom? What fraction is rotational and what transiational? What normal force does the small spheres exert on the hemisphere at the bottom?   [Hint: consider circular motion of center of mass at the bottom to calcualte normal reaction. For others consider conservation of energy.?