A uniform disc rotating freely about a vertical axis makes `90` rpm. A small piece of wax of mass `m` gram falls vertically on the disc and sticks to it at a distance `r cm` from the axis. If number of rotations per minute reduces to `60`, find the moment of inertia of the disc.

A horizontal disc rotating freely about a vertical axis makes 100 rpm. A small piece of wax of mass 10 g falls vertically on the disc and adheres to it at a distance of 9 cm from the axis if the number of revolution per minute is thereby reduced to 90. Calculate the moment of inertia of disc.

A uniform disc is rotating freely about a vertical axis passing through its centre and makes 100 rpm. A small piece of gum of mass 8 g falls vertically on the disc and sticks to it at a distance of 5 cm from its axis. If the number of rotations per minute reduces to 80 rpm find the moment of inertia of the disc.

A horizontal disc rotating about a vertical axis makes 100 revolutions per minute. A small piece of wax of mass 10 g falls vertically on the disc and adheres to it at a distance of 9 cm from the axis. If the number of revolutions per minute is thereby reduced to 90, calculate the moment of inertia of disc.

A horizontal disc rotating about a vertical axis passing through its centre makes 180 rpm. A small piece of wax of mass 10 g falls vertically on the disc and adheres to it at a distance of 8 cm from its axis. If the frequency is thus reduced to 150 rpm, calculate the moment of inertia of the disc.

A horizontal disc ratating about a vertical axis passing through its centre makes 180 rpm. A small piece of wax of mass 10 g falls vertically on the disc and stricks to it at a distance reduced to 150 rpm , calculate moment of inertia of the disc.

A unifrom horizontal disc is freely rotating about a vertical axis through its centre at the rate of 240 rpm. A blob of wax of mass 2 g falls on it and sticks to it at 25 cm from the axis. If the frequency of rotation of the disc is reduced by 60 rpm. calculate the moment of inertia of the disc. lt

A horizontal disc is freely rotating about a vertical axis passing through its centre at the rate of 100rpm . A bob of wax of mass 20g falls on the disc and sticks to it a distance of 5cm from the axis. If the moment of inertia of the disc about the given axis is 2xx10^(-4) kgm^2 , find new frequency of rotation of the disc.

Obtain an expression for potential energy of a particle performing simple harmonic motion. Hence evaluate the potenhtial energy (a) at mean position and (b) extreme position. A horizontal disc is freely rotating about a transverse axit passing through its centre at the rate of 100 revolutions per minute. A 20 gram blob of wax falls on the disc and sticks to teh disc at a distance of 5 cm form its axis. Moment of inertia of the disc about its axit passing through its centre of mass is 2xx10^(-4) kg m^(2) . Calculate the new frequency of rotation of the disc.

The adjoining figure shows a disc of mass M and radius R lying in the X-Y plane with its centre on X - axis at a distance a from the origin. Then the moment of inertia of the disc about the X-axis is