A body of mass m hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness k as shown in figure. If the body is released from rest and the spring is released, calculate the maximum elongation of the spring.

A disc of mass m is connected with an ideal spring of stiffness k . If it is released from rest, it rolls without sliding on an inclination plane. The maximum elongation of the spring is:

In an ideal pulley particle system, mass m_2 is connected with a vertical spring of stiffness k . If mass m_2 is released from rest, when the spring is underformed, find the maximum compression of the spring.

In an ideal pulley particle system, mass m_2 is connected with a vertical spring of stiffness k . If mass m_2 is released from rest, when the spring is underformed, find the maximum compression of the spring.

A rod mass (M) hinged at (O) is kept in equilibrium with a spring of stiffness (k) as shown in figure. The potential energy stored in the spring is .

A rod mass (M) hinged at (O) is kept in equilibrium with a spring of stiffness (k) as shown in figure. The potential energy stored in the spring is .

A block of mass 2 m hangs by an inextensible light string that passes over a smooth pulley. Another mass m hangs from the other end of the string and is connected to a vertical massless spring. The system is stationary. Just after the string is cut, the accelerations of m and 2m, respectively, are -

A block of mass m is attached with a spring in vertical plane as shown in the figure. If initially spring is in its natural length and the block is released from rest, then maximum extension in the spring will be

Two block of masses m_(1) and m_(2) are in equilibrium. The block m_(2) hangs from a fixed smooth pulley by an inextensible string that is fitted with a light spring of stiffness k as shown in fig. Neglecting friction and mass of the string, find the acceleration of the bodies just after the string S is cut.

Two block of masses m_(1) and m_(2) are in equilibrium. The block m_(2) hangs from a fixed smooth pulley by an inextensible string that is fitted with a light spring of stiffness k as shown in fig. Neglecting friction and mass of the string, find the acceleration of the bodies just after the string S is cut.

The block of mass m is released when the spring was in its natrual length. Spring constant is k. Find the maximum elongation of the spring.