In the following figure, a body of mass m is tied at one end of a light string and this string is wrapped around the solid cylinder of mass M and radius R. At the moment t = 0 the system starts moving. If the friction is negligible, angular velocity at time t would be

A light thread with a body of mass m tied to its end is wound on a uniform solid cylinder of mass M and radius R . At a moment t=0 the system is set in motion. Assuming the friction in the axle of the cylinder to be negligible, find the time dependence of (a) the angular velocity of the cylinder and (b) the kinetic energy of the whole system ( M=2m ).

A block of mass m is attached to one end of a light string which is wrapped on a disc of mass 2m and radius R. The total length of the slack portion of the string is 1. The block is released from rest. The angular velocity of the disc just after the string becomes taut is

A block of mass m is attached to one end of a light string which is wrapped on a disc of mass 2m and radius R. The total length of the slack portion of the string is l . The block is released from rest. The angular velocity of the disc just after the string becomes taut is

A body of mass 1 kg tied to one end of string is revolved in a horizontal circle of radius 0.1 m with a speed of 3 "revolution"//sec , assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be

A body of mass 1 kg tied to one end of string is revolved in a horizontal circle of radius 0.1 m with a speed of 3 "revolution"//sec , assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be

A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release ?