Two beads of mass `2m` and `m`, connected by a rod of length `l` and of negligible mass are free to move in a smooth vertical circular wire frame of radius `l` as shown. Initially the system is held in horizontal position `(` Refer figure `)`

The minimum velocity that should be given to the mass `2m` in clockwise direction to make it vertical is `:`

Two beads of mass 2m and m , connected by a rod of length l and of negligible mass are free to move in a smooth vertical circular wire frame of radius l as shown. Initially the system is held in horizontal position ( Refer figure ) The velocity that should be given to mass 2m ( when rod is in horizontal position ) in counter - clockwise direction so that the rod just becomes vertical is :

Two beads of mass 2m and m , connected by a rod of length l and of negligible mass are free to move in a smooth vertical circular wire frame of radius l as shown. Initially the system is held in horizontal position ( Refer figure ) If the rod is replaced by a massless string of length l and the system is released when the string is horizontal then :

Two beads of mass 2m and m , connected by a rod of length l and of negligible mass are free to move in a smooth vertical circular wire frame of radius l as shown. Initially the system is held in horizontal position ( Refer figure ) If the rod is replaced by a massless string of length l and the system is released when the string is horizontal then :

A unifrom rod of length l and mass m is free to rotate in a vertical plane about A as shown in Fig. The rod initially in horizontal position is released. The initial angular acceleration of the rod is

A uniform rod of length l and mass m is free to rotate in a vertical plane about A as shown in Fig. The rod initially in horizontal position is released. The initial angular acceleration of the rod is

A homogenous rod XY of length L and mass 'M' is pivoted at the centre 'C' such that it can rotate freely in vertical plane. Initially the rod is in the horizontal position.

Two particles of mass m and 2m are connected by a string of length L and placed at rest over a smooth horizontal surface. The particles are then given velocities as indicated in the figure shown. The tension developed in the string will be

Two particles of mass m and 2m are connected by a string of length L and placed at rest over a smooth horizontal surface. The particles are then given velocities as indicated in the figure shown. The tension developed in the string will be

Two point masses m are connected the light rod of length l and it is free to rotate in vertical plane as shown in figure. Calculate the minimum horizontal velocity is given to mass so that it completes the circular motion in vertical lane.