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 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 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.

Two thin films of same liquid of surface tension 'T' are formed between a smooth rectangular wire frame and two thin uniform strainght wires each of mass 'm' and length 'I' connected to a massless non-deformed spring of stiffness 'k' and then the system is released form rest. The maximum elongation produced in the spring is

Two thin films of same liquid of surface tension 'T' are formed between a smooth rectangular wire frame and two thin uniform strainght wires each of mass 'm' and length 'I' connected to a massless non-deformed spring of stiffness 'k' and then the system is released form rest. The maximum elongation produced in the spring is

A slab of mass 'm' is released from a height x to the top a spring of force constant k. The maximum compression of the spring is y. Then

A disc of mass m is connected with an ideal spring of spring constant k inside a lift as shown. The left starts moving with constant acceleration (a hat (i)- a hat (j)) . At the same moment disc starts rolling without sliding on the wall of lift (from rest). If spring is in natural length initially then friction force acting on disc as a function of y is given by : (y is the displacement of the disc with respect to lift)

A disc of mass 3 m and a disc of mass m are connected by a massless spring of stiffness k. The heavier disc is placed on the ground with the spring vertical and lighter disc on top from its equilibrium position the upper disc is pushed down by a distance delta and released. Then.