Define moment of inertia and radius of gyration

Moment of inertia depends on

If a disc of moment of inertia I and radius r is reshaped into a ring of radius nr, keeping its mass same, its moment of inertia becomes

The angular speed of a body changes from omega_1 to omega_2 without applying a torque but due to change in its moment of inertia. The ratio of radii of gyration in the two cases is :-

For a disc of given density and thickness, its moment of inertia varies with radius of the disc as :

Define moment pf inertia. Name the factors on which the moment of inertia depend

The moment of inertia of a hoop of radius R and mass M, about any tangent

What is moment of inertia of a cylinder of radius r, along its height?

What do you understand by torque and moment of inertia ? Obtain the relation between torque and moment of inertia for a rigid body.

Moment of inertia of a disc about an axis which is tangent and parallel to its plane is I . Then the moment of inertia of disc about a tangent, but perpendicular to its plane will be

The curve for the moment of inertia of a sphere of constant mass M versus its radius will be: