A bob of mass `m` is hanging from a cart of mass `M`. System is relased from rest from the position shown. Find the maximum speed of the cart with respect to ground.

In the situation shown, a pendulum bob of mass m and length L is taken aside and released from rest from the angular position theta as shown. If the mass takes time t to reach the lowest point. Find the magnitude of impulse of tension (in the string) on mass m from time t=0 to t.

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)

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.

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.

A simple pendulum of length l and bob mass m is hanging in front of a large nonconducting sheet having surface charge density sigma . If suddenly a charge +q is given to the bob & it is released from the position shown in figure. Find the maximum angle through which the string is deflected from vertical . .

A simple pendulum of length l and bob mass m is hanging in front of a large nonconducting sheet having surface charge density sigma . If suddenly a charge +q is given to the bob & it is released from the position shown in figure. Find the maximum angle through which the string is deflected from vertical . .

A bob of mass 2 kg hangs from a string of length 5 m . It swings from its rest position to one of the sides so that the string makes an angle of 60^(@) with the vertical Calculate the gain in potential energy of the bob .

A uniform L-shaped rod of mass 2m and length 2L, hangs from a hinge as shown (AO is horizontal and OB is vertical). If it is released from the position shown, then find the maximum angular velocity acquired by the end. \

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 ) .

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 ) .