A uniform disc and a hollow right circular cone have the same formula for their M.I, when rotating about their central axis. Why is it so?

A solid sphere, hollow sphere and ring have the same mass and diameter.If they rotate about axes passing through centre of gravity and in the case of ring it is normal to its plane, which will have more moment of inertia ?

A circular disc of which 2//3 part is coated with yellow and 1//3 part is with blue . It is rotated about its central axis with high velocity. Then it will be seen as

The moment of inertia of a ring about an axis passing through the centre and perpendicular to its plane 'I'. It is rotating with angular velocity 'omega'. Another identical ring is gently placed on it so that their centres coincide. If both the rings are rotating about the same axis then loss in kinetic energy is

Moment of inertia of a thin uniform rod about an axis passing through one end and perpendicular to its length is I . Then moment of inertia of the same rod about the central axis perpendicular to its plane is

Two rings of the same mass and radius are placed such that their centers are at a common point and, their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the diameter of one of the rings is I.Then moment of inertia of one of the rings of the system' about the central axis and perpendicular to its plane would be

A large disc has mass 2 kg and radius 0.2 m and initial angular velocity 50rad/s and a small disc has mass 4kg and radius 0.1m and initial angular velocity 200 rad/s, both rotating about their common axis. Then the common final angular velocity after discs are in contact is,

In a certain unit, the radius of gyration of a uniform disc about its central and transverse axis is sqrt(2.5) . Its radius of gyration about a tangent in its plane (in the same unit) must be

A coin kept on a horizontal rotating disc has its Centre at a distance of 0.1 m from the axis of the rotation of the disc. If the coefficient of friction between the coin and disc is 0.25, find the angular speed of the disc at which the coin would be about is slip off.

A disc of radius 10 cm can rotate about an axis passing through its centre and perpendicular to its plane. A force of 10 N is applied along the tangent in the plane of the disc. If the moment of inertia of the disc about its centre is 5 kg m2, then the increase in the angular velocity of the disc in 10 s will be