A square sheet of edge length L and uniform mass per unit area `(sigma)` is used to form a hollow cylinder.The moment of inertia of this cylinder about the central axis is

A wire of mass m and length l is bent in the form of circular ring. The moment of inertia of the ring about its axis is

A cylinder of length 10 cm and radius 5 cm is rotating with an angular speed of 50 rad/s about its central axis. Calculate the uniform tangential force which will stop the cylinder in 8 s. The moment of inertia of the cylinder about its axis of rotation is 0.6 kg m^(2) .

Derive an expression for the moment of inertia of a (i) hollow cylinder (ii) solid cylinder about its own axis.

Find the force per unit area on the surface of a long hollow cylinder carrying uniform current I and radius of the cylinder is R.

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.

Four thin uniform rods each of length L and mass m are joined to form a square . The moment of inertia of square about an axis along its one diagonal is

A non-uniform cylinder of mass m , length l and radius r is having its centre of mass at a distance l.4 from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density rho . The moment of inertia of the rod about the centre of mass is l . The angular acceleration of point A relative to point B just after the rod is released from the position as shown in the figure is