A copper ball of mass `m = 1 kg` with a radius of `r = 10 cm` rotates with angular velocity `omega = 2 rad//s` about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold is.

A uniform sphere of mass m=5.0kg and radius R=6.0cm rotates with an angular velocity omega=1250rad//s about a horizontal axle passing through its centre and fixed on the mounting base by means of bearings. The distance between the bearings equals l=15cm . The base is set in rotation about a vertical axis with an angular velocity omega^'=5.0rad//s . Find the modulus and direction of the gyroscopic forces.

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity omega . Its kinetic energy is

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity omega . Its kinetic energy is

A horizontal disk is rotating with angular velocity omega about a vertical axis passing through its centre. A ball is placed at the centre of groove and pushed slightly. The velocity of the ball when it comes out of the groove -

A horizontal disk is rotating with angular velocity omega about a vertical axis passing through its centre. A ball is placed at the centre of groove and pushed slightly. The velocity of the ball when it comes out of the groove -

A rigid body of mass m rotates with angular velocity omega about an axis at a distance a from the centre of mass G. The radius of gyration about a parallel axis through G is k. The kinetic energy of rotation of the body is

A ring of mass m and radius R is being rotated about its axis with angular velocity omega . If a increases then tension in ring