A disc with moment of inertia I is rotating with some angular speed. Second disc is initially at rest. Now second disc with moment of inertia 3I is placed on first disc and starts rotating. Find loss of kinetic energy in fraction

A disc is rotating with angular speed omega_(1) . The combined moment of inertia of the disc and its axle is I_(1) . A second disc of moment of inertia I_(2) is dropped on to the first and ends up rotating with it. Find the angular velocity of the combination if the original angular velocity of the upper disc was (a) zero (b) omega_(2) in the same direction as omega_(1) and (c) omega_(2) in a direction opposite to omega_(1) .

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

Calculate the moment of inertia of a disc about its any diameter ?

Calculate the moment of inertia of a disc about its any diameter ?

What is the moment of inertia of a circular disc about one of its diameters ?

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

A body is rotating with angular momentum L. If I is its moment of inertia about the axis of rotation is I, its kinetic energy of rotation is

A circular disc of moment of inertia I_(t) is rotating in a horizontal plane about its symmetry axis with a constant angular velocity omega_(i) . Another disc of moment of inertia I_(b) is dropped co-axially onto the rotating disc. Initially, the second disc has zero angular speed. Eventually, both the discs rotate with a constant angular speed omega_(f) . Calculate the energy lost by the initially rotating disc due to friction.

Two uniform circular rough disc of moment of inertia I_(1) and (I_(1))/(2) are rotating with angular velocity omega_(1) and (omega_(1))/(2) respectively in same direction. Now one disc is placed the other disc co-axially. The change in kinetic energy of the system is :

A disc of the moment of inertia 'l_(1)' is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane with constant angular speed 'omega_(1)' . Another disc of moment of inertia 'I_(2)' . having zero angular speed is placed discs are rotating disc. Now, both the discs are rotating with constant angular speed 'omega_(2)' . The energy lost by the initial rotating disc is