A ball B is suspended from a string of length l attached to a cart A, which may roll on a frictionless surface. Initially the cart is at rest and the ball is given a horizontal velocity `v_(0)`. Determine
the velocity of B as it reaches the maximum height.

A ball B is suspended from a string of length l attached to a cart A, which may roll on a frictionless surface. Initially the cart is at rest and the ball is given a horizontal velocity v_(0) . Determine the maximum height reached by the ball.

A mass m is hanging by a string of length l. The velocity v_(0) which must be imparted to it to just reach the top is

Two small balls A and B are interconnected by an inextensible string of legth L. Mass of ball A =m, mass of ball B = m. the balls are resting on a frictionlesss harixontal surgace , with the distance between them =3L.5 In this position ball A is suddenly given a harizontal velocity v_(0) perpendicular to the line joining the two balls. (see fig 4E . 18 (a)) (a) Find the speed of ball B houst after the string becomes taut (b) find the impulse of the tension in string when the string becomes taut. (c) Find the steady tension in string much after the string has become taut.

A small bob mass 'm' is suspended by a massless string from a cart of the same mass 'm' as shown in the figure. The friction between the cart and horizontal ground is negligible. The bob is given a velocity V_(0) in horizontal direction as shown. The maximum height attained by the bob is , ( initially whole system ( bob + string + cart ) was at rest ) .

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass m is attached to the end of the light rod which can rotate freely about A. If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical. (Assume frictionless surface)

A ball of negligible size and mass m is given a velocity v_0 on the centre of the cart which has a mass M and is originally at rest. If the coefficient of restitution between the ball and walls A and B is e. Determine the velocity of the ball and the cart just after the ball strikes A. Also, determine the total time needed for the ball to strike A, rebound, then strike B, and rebound and then return to the centre of the cart. Neglect friction.

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass in is attached to the end of the light rod which can rotate freely about A . If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical.