A ball of mass m is attached to a light string of length L and suspended vertically. A constant horizontal force, whose magnitude F equals the weight of the ball, is applied Determine the speed of the ball as it reaches the `90^(@)` level.

A ball of mass 0.5 kg is attached to a light string of length 2m. The ball is whirled on la horizontal smooth surface is a circle of rdius 2 m as shown in fig. If the string can withstand tension up to 100 N, what is the maximum speed at which the bal can be whirled.

A ball of mass 200g is attached to a string of length 50cm and a force F is applied on it as shown. Find the work done by this force if string makes an angle 60^@ with vertical. In the initial and final position, speed of the ball is zero.

A particle of mass 21 g attached to a string of 70cm length Keeping the string always taut the ball describes a horizontal circle of radius 15cm Calculate the angular speed of the ball .

Two balls of mass m and 2m are attached with strings of length 2L and L respectively. They are released from horizontal position. Find ratio of tensions in the string when the acceleration of both is only in vertical direction :

A light spring of length l and rigidity k is placed vertically on a table. A small ball of mass m falls on it. Determine the height h from the surface of the tube at which the ball will have the maximum velocity.

A ball A of mass m attached to a string of length L is released when the string is horizontal. It strikes another ball B of mass 2 m suspended to another string of length L at rest as shown. Find the maximum angle made by the string if the collision is completely inelastic.

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. The displacement of centre of mass of A + B system till the string becomes vertical is

A small ball B of mass m is suspended with light inelastic string of length L from a block A of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle theta from equilibrium position and then released. The displacement of centre of mass of A + B system till the string becomes vertical is