Question

A: Moment of inertia of a particle is same, whatever be the axis of rotation R: Moment of inertia depends on mass and distance of the particles.

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.

The time rate of the total angular momentum of a system of particles about a point (taken as the origin of our frame of reference) is equal to the sum of the external torques (i.e. the torques due to external forces) acting on the system taken about the same point. If τext = dL/dt Hence, if τext = 0, dL/dt = 0 Thus, if the total external torque on a system of particles is zero, then the total angular momentum of the system is conserved, i.e. it remains constant.

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.