A uniform disk of mass `300kg` is rotating freely about a vertical axis through its centre with constant angular velocity `omega .` A boy of mass `30kg` starts from the centre and moves along a radius to the edge of the disk. The angular velocity of the disk now is

A uniform disc of mass M and radius R is rotating about a horizontal axis passing through its centre with angular velocity omega . A piece of mass m breaks from the disc and flies off vertically upwards. The angular speed of the disc will be

A thin uniform rod of mass M and length L is rotating about a perpendicular axis passing through its centre with a constant angular velocity omega . Two objects each of mass (M)/(3) are attached gently to the two end of the rod. The rod will now rotate with an angular velocity of

A solid sphere of radius r and mass m rotates about an axis passing through its centre with angular velocity omega . Its K.E . Is

A solid sphere of radius r and mass m rotates about an axis passing through its centre with angular velocity omega . Its K.E . Is

A uniform disc of mass m and radius R rotates about a fixed vertical axis passing through its centre with angular velocity omega . A particle of same angular velocity mass m and moving horizontally with velocity 2omegaR towards centre of the disc collides and sticks to its rim. The impulse on the particle due to the disc is

A uniform disc of mass m and radius R rotates about a fixed vertical axis passing through its centre with angular velocity omega . A particle of same mass m and having velocity of 2omegaR towards centre of the disc collides with the disc moving horizontally and sticks to its rim. Then