A hollow sphere of mass "12kg" rotates about its axis with angular speed "50rad/s".The radius of the hollow sphere is "0.25m".The kinetic energy associated with rotation of the hollow sphere is

A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 s^(-1) . The radius of the cylinder is 0.25 m . What is the kinetic energy associated with the rotation of the cylinder ? What is the magnitude of angular momentum of the cylinder about its axis ?

A solid cylinder of mass 20 kg rotates about its axis with angular velocity of 100 radian s^(-1) . The radius of the cylinder is 0.25m . The magnitude of the angular momentum of the cylinder about its axis of rotation is

A solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the sphere is

A hollow sphere and a solid sphere of the same dimensions rotate about the same axis with the same angular velocity. Which has greater kinetic energy ?

A uniform sphere of radius 0.25 m and mass 2 kg rotates about its diameter. What is the angular momentum when the angular speed is 5 rad/s ?

A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic emergies of rotation (E_("sphere")//E_("cylinder")) will be.

A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic emergies of rotation (E_("sphere")//E_("cylinder")) will be.

The radius of gyration of a hollow sphere of radius R about an axis along its tangent is

A point mass m is released from rest at a distance of 3R from the centre of a thin-walled hollow sphere of radius R and mass M as shown. The hollow sphere is fixed in position and the only force on the point mass is the gravitational attraction of the hollow sphere. There is a very small hole in the hollow sphere through which the point mass falls as shown. The velocity of a point mass when it passes through point P at a distance R//2 from the centre of the sphere is