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 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).

The mass of the cylinder is 25 kg and radius of cylinder is 5 m. Find the moment of inertia of a solid cylinder about a tangent to the cylinder.

The mass of the cylinder is 25 kg and radius of cylinder is 5 m. Find the moment of inertia of a solid cylinder about a tangent to the cylinder.

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.

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 .

What is moment of inertia of a solid cylinder of mass m , length l and radius r about the axis of the cylinder ?

A hollow cylinder of mass m and radius r is kept on a smooth horizontal surface. Horizontal force F is applied at a height above the centre. Find the value of h/R so that ring performs pure rolling on the surface.

A solid cylinder of mass m length L and radius R is suspended by means of two ropes of length l each as shown. Find the time period of small angular oscillations of the cylinder about its axis AA'

A solid cylinder of mass m length L and radius R is suspended by means of two ropes of length l each as shown. Find the time period of small angular oscillations of the cylinder about its axis AA'

A bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.