A solid homogeneous sphere is moving on a rough horizontal surface, partly rolling and partly sliding.…

A solid homogeneous sphere is moving on a rough horizontal surface, partly rolling and partly sliding. During this kind of motion of the sphere
  1. total kinetic energy is conserved
  2. angular momentum of the sphere about the point of contact with the plane is conserved
  3. only the rotational kinetic energy about the centre of mass is conserved
  4. angular momentum about centre of mass is conversed

Solution

Angular momentum about point of contact is conserved because torque due to friction about point of contact will be zero. ^

Asked in: JEE Mains - Rotational Motion - Test 3

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