Discs `A` and `B` are mounted on a shaft `SS` and may be connected or disconnected by a clutch `C`. The moment of inertia of disc `A` is one half that of disc `B`. With the clutch disconnected, `A` is brought up to an angular velocity `omega_(0)` .The accelerating torque is then removed from `A` and it is coupled to disc `B` by the clutch (Bearing friction may be neglected). It is found that `2000 J` of heat is developed in the clutch when the connection is made. What is the original kinetic energy of disc `A`?

Discs A and B are mounted on a shaft XY and may be connected or disconnected by a coupling Z as shown in figure-5.147. The moment of inertia of disc A about the shaft is half that of disc B. The moments of inertia of the shaft and the coupling are negligible. Initially A is disconnected and rotated at an angular velocity omega . It is now coupled to disc B using couplings.It is found that 5000 J of thermal energy is developed in the coupling when the connection is made. What was the original kinetic energy of the disc A.

The moment of inertia of a uniform semicircular disc of mass disc through the centre is

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

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

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

Moment of inertia of a disc is 100 g. cm^(2) . If the disc rotates with an angular velocity of 2 rad .s^(-1) the rotational kinetic energy of the disc is