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 one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

Two blocks of masses m_1 and m_2 are connected by a spring of spring constant k figure. The block of mass m_2 is given a shape impulse so that it acquires a velocity v_0 towards right. Find a. the velocity of the centre of mass b. the maximum elongation that the spring will suffer.

Two blocks of masses m_1 and m_2 are connected by a spring of spring constant k figure. The block of mass m_2 is given a shape impulse so that it acquires a velocity v_0 towards right. Find a. the velocity of the centre of mass b. the maximum elongation that the spring will suffer.

A block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is

A block of mass m is connected to a spring of force constant k. Initially the block is at rest and the spring has natural length. A constant force F is applied hrizontally towards right. The maximum speed of the block will be (there is no friction between block and the surface)

A block of mass m moving at a speed v_0 compresses a spring of spring constant k as shown in the figure. Find (a) the maximum compression of spring and (b) speed of the block when the spring is compressed to half of maximum compression.

A block of mass m compresses a spring iof stifffness k through a distacne l//2 as shown in the figure .If the block is not fixed to the spring the period of motion of the block is

A block of mass m compresses a spring iof stifffness k through a distacne l//2 as shown in the figure .If the block is not fixed to the spring the period of motion of the block is

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.