A circular table rotates about a vertical axis with a constant angular speed `omega`. A circular pan rests on the turn table (with the centre coinciding with centre of table) and rotates with the table. The bottom of the pan is covered with a uniform small thick layer of ice placed at centre of pan. The ice starts melting. The angular speed of the turn table.

A mirror is placed at the centre of a sphere and it is rotating with an angular speed omega . Incident light falls on the mirror at the centre of the sphere. Find out the linear speed of the light spot on the sphere?

A mirror is placed at the centre of a sphere and it is rotating with an angular speed omega . Incident light falls on the mirror at the centre of the sphere. Find out the linear speed of the light spot on the sphere?

A circular turn table has a block of ice placed at its centre. The system rotates with an angular speed w about an axis passing through the centre of the table. If the ice melts on its own without any evaporation, the speed of rotation of the system

A man stands at the centre of turn table and the turn table is rotating with certain angular velocity. If he walks towards rim of the turn table, then

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 is rotating at a constant speed in a vertical plane about a fixed horizontal axis passing through the centre of the disc. A piece of the disc at the instant when it is at a horizontal level with the centre of the disc and moving upward . Then about the fixed axis, the angular speed of the remaining disc is

A circular disc is rotating without friction about its natural axis with an angular velocity omega . Another circular disc of same material and thickness but half the raduis is gently placed over it coaxially. The angular velocity of composite disc will be

A turn table of mass M and radius R is rotating with angular velocity omega_(0) on frictionless bearing. A spider of mass m falls vertically onto the rim of the turn table and then walks in slowly towards the centre ofthe table. What is the angular velocity of the system when spider is at a distance r from the centre. Compute also the angular velocity of the turn table when the spider is at the rim and at the centre of the table .Is the energy of the system in this problem conserved ?

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 -