
In the system as shown in figure, is a uniform rod of mass and is a light string which is connected between wall and rod, in vertical plane. There is block of mass connected at with a light string. ( and are two different strings)
Tension in the string
Hinge force exerted on beam at point


Important Questions on Rotational Mechanics
A rod of negligible mass having length is pivoted at its centre and two masses of and are hung from the ends as shown in figure.
Find the initial angular acceleration of the rod if it is horizontal initially.
If the rod is uniform and has a mass of
Find the initial angular acceleration of the rod.
Find the tension in the supports to the blocks of mass and

The uniform rod of mass m is released from rest when Assuming that the friction force between end and the surface is large enough to prevent sliding, determine (for the instant just after release)
The angular acceleration of the rod
The normal reaction and the friction force at

A uniform thin rod of length is hinged about one of its ends and is free to rotate about the hinge without friction. Neglect the effect of gravity.A forceis applied at a distance from the hinge on the rod such that force is always perpendicular to the rod. Find the normal reaction at the hinge as function of at the initial instant when the angular velocity of rod is zero.

A solid cylinder of mass & radius is pivoted at its centre & has three particles of mass mounted at its perimeter in the vertical plane as shown in the figure. The system is initially at rest. Find the angular speed of the cylinder, when it has swung through in anticlockwise direction.

A rigid body is made of three identical uniform thin rods each of length fastened together in the form of letter The body is free to rotate about a fixed horizontal axis that passes through one of the legs of the The body is allowed to fall from rest from a position in which the plane of is horizontal. What is the angular speed of the body, when the plane of is vertical.

A uniform rod of mass m and length lies radially on a disc rotating with angular speed in a horizontal plane about its axis. The rod does not slip on the disc and the centre of the rod is at a distance from the centre of the disc. Find out the kinetic energy of the rod.

The moment of inertia of the pulley system as shown in figure is Its radius is The system is released from rest ,find the linear velocity of the block when it has descended through (Assume that there is no slipping between string & pulley and string is light)

