A hollow straight tube of length `l` and mass `m` can turn freely about its centre (fixed) on a smooth horizontal table. Another smooth uniform rod of same length and mass is fitted into the tube so that their centres coincide. They system is set in motion with an initial angular velocity `omega_0`. the angular velocity of the rod at an instant when the rod slips out of the tube is :

A uniform rod of mass M and length L with two particles m and m_(2) attached to its ends, is pivoted at its centre. The system rotates in a vertical plane with angular velocity omega .

A uniform rod of mass m and length l is on the smooth horizontal surface. When a constant force F is applied at one end of the rod for a small time t as shown in the figure. Find the angular velocity of the rod about its centre of mass.

A thin uniform rod of length l and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) What is the angular velocity of the rod at the moment it reaches the vertical position ?

A thin uniform rod of length l and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) What is the angular velocity of the rod at the moment it reaches the vertical position ?

A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the centre of mass C and the angular, velocity of the system about the centre of mass after the collision.

A thin rod is placed co-axially within a thin hollow tube which lies on a smooth horizontal table. The rod having the same mass 'M' and length 'L' as that of tube is free to move within the tube. The system is given an angular velocity 'o' about a vertical axis from one of its ends. Considering negligible friction between surfaces, find the angular velocity of the rod as it just slips out of the tube.

A smooth uniform rod of length L and mass M has two identical beads of negligible size each of mass m which can slide freely along the rod. Initially the two beada are at the centre of the rod and the system is rotating with an angular velocity omega_0 about an axis perpenducular to the rod and passing through the midpoint of the rod. There are no external forces. When the beads reach the ends of the rod, the angular velocity of the system is ......