A lightstring is wound round a cylinder and carries a mass tied to it at the free end. When the mass is released, calculate the tension in the string. Show that the acceleration of the mass is less than g.

A body of mass 5 kg is attached to a weightless string wound round a cylinder of mass 8 kg and radius 0.3 m. The body is allowed to fall. Calculate (i) tension in the string (ii) acceleration with which the body falls and (iii) the angular acceleration of the cylinder.

A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other end hanging freely. Tension in the string required to produce an angular acceleration of 2 revolution s^(-2) is

A body of mass 5 kg is attached to a weightless string wound round a cylinder of mass 8 kg and radius 0.3 m . The body is allowed to fall. Calculate (i) tension in the string, (ii) acceleration with which the body falls and (iii) angular acceleration of the cylinder.

A wheel of radius 6 cm is mounted so as to rotate about a horizontal axis through its centre. A string of negligibe mass wrapped round its circumference carries a mass of 0.2 kg attrached to its free end. When let fall, the mass descends through 1 m in 5 s . Calculate the angular acceleration of the wheel, its moment of inertia and tension in the cord.

A string is wrapped several times round a solid cylinder. Then free end of the string is held stationary. If the cylinder is released to move down, then the acceleration of that cylinder is

A particle of mass m is tied to a string of length L and whirled into a horizontal plan. If tension in the string is T then the speed of the particle will be :

A cylinder of mass 50 mg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions s^-2 is

An object of mass m is tied to a light string wound around a pulley that has a moment of inertia I and radius R . The wheel bearing is fricrtionless and the string does not slip on the run. Find the tension in the string and the acceleration of the object.