Figure-3.54(a) shows a cone of half angle `theta` on which a chain of mass m is resting with sufficient friction so that it will not slip on the surface of cone. If cone starts rotaring at an angular velocity `omega` find the tension developed in the chain.

A chain of mass 'm' and radius 'r' is placed onto a cone of semi vertical angle theta . Cone rotated with angular velocity omega . Find the tension in the chain if it does not slide on the cone.

As per the shown figure the central solid cylinder starts with initial angular velocity omega_(0) Find the time after which the angular velocity becomes half.

A block A of mass M rests on a wedge B of mass 2M and inclination theta . There is sufficient friction between A and B so that A does not slip on B. If there is no friction between B and ground, the compression in spring is

A mass m is attached to a pulley through a cord as shown in figure. The pulley is a solid disk with radius R . The cord does not slip on the disk. The mass is released from rest at a height h from the ground and at the instant the mass reaches the ground, the disk is rotating with angular velocity omega . Find the mass of the disk. .

The coefficient of static friction between a block of mass m and an incline is mu_s=03 , a. What can be the maximum angle theta of the incline with the horizontal so that the block does not slip on the plane? b. If the incline makes an angle theta/2 with the horizontal, find the frictional force on the block.

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

A uniform thin rod of mass m and length l is standing on a smooth horizontal suface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Find the velocity of centre of mass of the rod at the instant when it makes an angle theta with horizontal.