1. Tardigrade
  2. Question
  3. Physics
  4. A body rolls down on an inclined plane without slipping, choose the correct statements. I. KE of body is conserved. II. Angular momentum of body about its own centre of mass is not conserved. III. Velocity at any instant of time does not depend on mass. IV. At bottom all objects (cylinder, sphere, ring) possess equal rotational KE.

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Q. A body rolls down on an inclined plane without slipping, choose the correct statements.
I. KE of body is conserved.
II. Angular momentum of body about its own centre of mass is not conserved.
III. Velocity at any instant of time does not depend on mass.
IV. At bottom all objects (cylinder, sphere, ring) possess equal rotational $KE$.

System of Particles and Rotational Motion

Solution:

When a body rolls down on an inclined plane without slipping, then at bottom all objects (cylinder, sphere, ring) possess equal rotational kinetic energy.
Because velocity of contact point is zero, hence translational energy is zero.
During rolling motion, kinetic energy is not conserved due to friction. Angular momentum of body during rolling motion without slipping is conserved. Velocity of rolling body at any instant depends upon mass of its own. So, statement IV is correct, but I, II and III are incorrect.