Question

A: The moment of inertia increases if the mass of a particle is moved further from the axis of rotation. R: Moment of inertia is directly proportional to the square of the distance from the axis of rotation.

Moment of inertia of body resists a change in its state of angular momentum and depends on the mass of the body, size and shape of the body, distribution of mass about the axis of rotation, position and orientation of the axis of rotation. Three bodies, a ring, a solid sphere, a solid cylinder roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical.

Moment of inertia depends on

Assertion (A): Moment of inertia depends on the distribution of mass and the axis of rotation. Reason (R): Moment of inertia is a scalar quantity.