A block of mass m is attached to a frame by a light spring of force constant k. The frame and block are initially at rest with `x = x_(0)`, the natural length of the spring. If the frame is given a constant horizontal accelration `a_(0)` towards left, determine the maximum velocity of the block relative to the frame (block is free to move inside frame). Ignore any friction.

A block of mass m is attached to the frame by a light spring of stiffness k . The frame and block are initially at rest with x=x_(0) , the uncompressed length of the spring. If the frame is given a constant horizontal acceleration a_(0) towards left, determine the maximum velocity (v_(ret))_(max) of the block relative to the frame (block is free to move inside frame). Ignore any friction.

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 initially at rest is dropped from a height h on to a spring of force constant k . the maximum compression in the spring is x then

A block is suspended by an ideal spring of force constant force F and if maximum displacement of block from its initial mean position of rest is x_(0) then

A block of mass m is connected to a spring of spring constant k as shown in figure. The frame in which the block is placed is given an acceleration a towards left. Neglect friction between the block and the frame walls. The maximum velocity of the block relative to the frame is

A block of mass m is attached to the two springs in vertical plane as shown in the figure - 3.95. If initially both the springs are at their natural lengths then velocity of the block is maximum at displacement x given as

A block of mass M is kept on a rough horizontal surface and is attached with massless spring of force constant k .The minimum constant force applied on the other end of the spring to lift the block 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 = 2 kg is connected to a spring of force constant k = 50 n//m . Initially the block is at rest and the spring has natural length . A constant force f = 60 N , is applied horizontally towards right, the maximum speed of the block (in m//s will be (neglect frication).

A block of mass 'm' is attached to a spring in natural length of spring constant 'k' . The other end A of the spring is moved with a constat velocity v away from the block . Find the maximum extension in the spring.