
If the ends of a rod of length have velocities and find the velocity of mid-point of the rod.

Important Questions on Rigid Body Dynamics: Part 1
A flat rigid body is moving in plane on a table. The body lies in the plane. At an instant it was found that some of the velocity components of its three particles and were and respectively. At the instant the three particles and were located at and (all in metre) respectively in a co-ordinate system attached to the table.
(a) Find the velocity of and
(b) Find the angular velocity of the body.

The rod of length rotates with an angular velocity and the point moves with velocity and acceleration Find the velocity and acceleration of

The angular velocity and angular acceleration of the pivoted rod are given as and respectively. Find the and components of acceleration of

A cylinder of radius rolls on a horizontal surface. If the velocity of its center is Find its angular velocity and velocity of the point

A disc of radius is rolling on a plank. If the disc is moving on the plank with angular velocity and speed Find the speed of the plank for pure rolling.

A uniform disc of radius rolls perfectly over two horizontal plank and moving with velocities and respectively. Find the
(a) velocity of of the disc.
(b) angular velocity of the disc

A cotton reel rolls without sliding such that the point of the string has velocity Find the:
(i) velocity of its centre
(ii) angular velocity of the cotton reel.

Two wheels and of radii and are connected by a belt. If the belt does not slide over the wheels, find the:
(i) speed of a point on the belt.
(ii) angular velocity of the wheel
(iii) acceleration of relative to
