Question

A sphere rolls without sliding on a rough inclined plane (only mg and constant forces are acting on the body). The angular momentum of the body:

• A. about centre is conserved
• B. is conserved about the point of contact
• C. is conserved about a point whose distance from the inclined plane is greater than the radius of the sphere
• D. is not conserved about any point.

Answer 1

The correct option is C is conserved about a point whose distance from the inclined plane is greater than the radius of the sphere

The angular momentum will be conserved as there is no external torque. The force towards the feet of the inclined path will be more than the frictional force. Now, if $x$ is the point where the angular momentum is conserved, where net torque is zero, then $x>R$