A light meter rod has two point masses each of 2 kg fixed at its ends. If the system rotates about its centre of mass with an angular speed of `0.5` ``rad`/s^2`,find its rotational K.E.

If a solid sphere of mass 1kg and radius 3 cm is rotating about an axis passing through its centre with an angular velocity of 50 rad/s, then the kinetic energy of rotation will be

A disc of mass 16 kg and radius 25 cm is rotated about its axis. What torque will increase its angular velocity from 0 to 8pi rad/s in 8 s ?

A flywheel of mass 60 kg and radius 40 cm is revolving at 300 rpm, then its rotational K.E. is

A person stands on a uniformly rotating turn table with outstretched arms holding two identical weights. The moment of inertia of the system is 60 kgm^2 . When he brings the arms close to his body, the M.I. of inertia reduces to 58 kgm^2 . The angular speed of the system now becomes 3 rad s^-1 . Find the initial angular speed and the final K.E.

Two bodies of masses 1 kg and 2 kg, separated by 6 m are rotating about the centre of mass of the system. The moment of inertia of the system is

A body of mass 2kg and radius of gyration 0.5 m is rotating about an axis. If its angular speed is 2 rad/s, then the angular momentum of the body will be

A wheel 2 kg having practically all the mass concentrated along the circumference of a circle of radius 20 cm is rotating on its axis with angular velocity of 100 rad/s, then the rotational kinetic energy of wheel is

When a circular disc of radius 0.5 m is rotating about its own axis then the direction of its angular momentum is

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

A disc of mass 2 kg and radius 0.2 m is rotating about an axis passing through its centre and perpendicular to its plane with an angular velocity 50 rad/s. Another disc of mass 4 kg and radius 0.1m rotates about an axis passing through its centre and perpendicular to its plane with angular velocity 100 rad/s. If the two discs are coaxially coupled, then the angular velocity of the coupled system would be