A cylinder of mass 0.6kg and radius R is falling under gravity without slipping as the thread is unfolding.Find the tension in the thread (in newton).

A uniform cylinder of mass m and radius R starts descending at a moment t=0 due to gravity, Neglecting the mass of the thread, find (a) the tension of each thread and the angular acceleration of the cylinder, (b) the time dependence of the instantaneous power developed by the gravitational force.

In figure mass m_(1) slides without friction on the horizontal surface, the frictionless pulley is in the form of a cylinder of mass M and radius R , and a string turns the pulley without slipping. Find the acceleration of each mass, and tension in each part of the string.

A cylinder of mass M and radius r is suspended at the corner of a room. Length of the thread is twice the radius of the cylinder. Find the tension in the thread and normal force applied by each wall on the cylinder assuming the walls to be smooth.

A solid cylinder of mass M and radius R rolls down an inclined plane of height h without slipping. The speed of its centre when it reaches the bottom is.

A solid cylinder of mass M and radius R rolls without slipping on a flat horizontal surface. Its moment of inertia about the line of contact is ?

A solid cylinder of mass 0.1 kg having radius 0.2m rolls down an inclined plane of height 0.6m without slipping. The linear velocity the cylinder at the bottom of the inclined plane is

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane making an angle 6 with the horizontal. Then its acceleration is.

A string is wrapped around a cylinder of mass M and radius R . The string is pulled vertically upwards to prevent the centre of mass from falling as the cylinder unwinds the string. The tension in the string is

A brass sphere weighs 100 gm. Wt in air. It is suspended by a thread in a liquid of specific gravity =0.8 . If the specific energy gravity of brass is 8, the tension in the thread in newtons is

A string is wrapped around a cylinder of mass M and radius R. The string is pulled vertically upward to prevent the centre of mass from falling as the string unwinds. Assume that the cylinder remains horizontal throughout and the thread does not slip. Find the length of the string unwound when the cylinder has reached an angular speed omega .