The bob A of a pendulum released from horizontal to the vertical hits another bob B of the same mass at rest on a table as shown in the figure. If the length of the pendulum is 1m, calculate the height to which bob A will rise after collision.

The bob A of a pendulum released from 30^@ to the vertical hits another bob B of the same mass at rest on a table as shown in Fig. 6.15. How high does the bob A rise after the collision ? Neglect the size of the bobs and assume the collision to be elastic.

Two identical ball bearing in contact with each other and resting on a frictionless table are hit head on by another ball bearing of the same mass moving initially with a speed V shown in the figure. If the collision is elastic, which of the folloiwng shown in the figure is a possible result after collision ?

The bob of a pendulum is released from a horizontal position. If the length of the pendulum is 1.5 m, what is the speed with which the bob arrives at the lowermost point, given that it dissipated 5% of its initial energy against air resistance ?

A bob of mass m suspended by a light string of length L is whirled into a vertical circle as shown in the figure. What will be the trajectory of the particle if the string is cut at Point B?

A bob of mass m suspended by a light string of length L is whirled into a vertical circle as shown in the figure. What will be the trajectory of the particle if the string is cut at Point X?

Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V. If the collision is elastic, which of the following (Fig. 6.14) is a possible result after collision ?

A small body of mass m slides down from the top of a frictionless hemispherical surface of radius r as shown in the figure.The vertical height h below the highest point at which the body gets separated from the hemispherical surface. .

A small sphere rolls down without slipping from the top of a track in a vertical plane. The track has an elevated section and a horizontal part is 1.0 m above the ground level and the top of the track is 2.4 m above the ground. Find the distance on the ground with respect to the point B (which is vertically ) below the end of the track as shown in figure. Where the sphere lands. During its flight as a projectile does the sphere continue to rotate about its centre of mass? Explain.

A bullet of mass 0.012 kg and horizontal speed 70 m s^-1 strikes a block of wood of mass 0.4 kg and instantly comes to rest with respect to the block. The block is suspended from the ceiling by means of thin wires. Calculate the height to which the block rises. Also, estimate the amount of heat produced in the block.

A simple pendulum of length l and with a bob of mass m is moving along a ricular are of anle theta in a vertical plane.A sphere of mass m is placed at the end of the circle.What momentum will be given to the sphere by the moving bob?