In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be ___________ rad/s when k = 20 N/m.

The spring as shown in figure is kept in a stretched position with extension x when the system is relesed. Assuming the horizontal surface to be frictionless, the frequency of oscillation is

Two blocks, of masses M and 2 M , are connected to a light spring of spring constant K that has one end fixed, as shown in figure. The horizontal surface and the pulley are frictionless. The blocks are released from when the spring is non deformed. The string is light. .

Two point masses of 3.0 kg and 1.0 kg are attached to opposite ends of a horizontal spring whose spring constant is 300 N m^(-1) as shown in the figure. The natural vibration frequency of the system is of the order of :

Two masses m and 2m are attached to two ends of an ideal spring as shown in figure. When thye spring is in the compressed state, the energy of the spring is 60 J, if the spring is released, then at its natural length

In the adjoining figure, block A is of mass (m) and block B is of mass2 m. The spring has force constant k. All the surfaces are smooth and the system is released form rest with spring unstretched. .

In the figure shown the spring is compressed by 'x_(0)' and released . Two block 'A' and 'B' of masses 'm' and '2m' respectively are attached at the ends of the spring. Blocks are kept on a smooth horizontal surface and released. Find the work done by the spring on 'A' by the time compression of the spring reduced to (x_(0))/(2) .

Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction.

In the shown diagram mass of A is m and that of B is 2 m. All the surfaces are smooth. System is released from rest with spring unstretched. Then, the maximum extension (x_(m)) in spring will be:

In the figure shown, the system is released from rest with both the springs in unstretched positions. Mass of each block is 1 kg and force constant of each spring is 10 N/m. Maximum speed of the block placed horizontally is: