A block of mass 'm' is attached to the light spring of force constant `K` and released when it is in its natural length. Find amplitude of subsequent oscillations.

A block of mass m is attached to a spring of force constant k whose other end is fixed to a horizontal surface. Initially the spring is in its natural length and the block is released from rest. The average force acting on the surface by the spring till the instant when the block has zero acceleration for the first time is

A block of mass m is attached to a spring of force constant k whose other end is fixed to a horizontal surface. Initially the spring is in its natural length and the block is released from rest. The average force acting on the surface by the spring till the instant when the block has zero acceleration for the first time is

A block of mass M is tied to a spring of force constant k and placed on a smooth horizontal surface. The natural length of the spring is L. P is a point on the spring at a distance (L)/(4) from its fixed end. The block is set in oscillations with amplitude A. Find the maximum speed of point P on the spring.

Block A of mass m is placed on a plank B . A light support S is fixed on plank B and is attached with the block A with a spring of spring constant K. Consider that initialy spring is in the natural length, and the system is at rest. Find the maximum compression in the spring, if the plank B is moved with a constant acceleration 'a' . (All the surface are smooth) :

Figure shows a block A on a smooth surface attached with a spring of force constant k to the ceiling. In this state spring is in its natural length l . The block A is connected with a massless and frictionless string to another identical mass B hanging over a light and smooth pulley. Find the distance moved by A before if leaves contact with the ground.

A block of mass m is attached to a cart of mass 4m through spring of spring constant k as shown in the figure. Friction is absent everywhere. The time period of oscillations of the system, when spring is compressed and then released, is