Two blocks having mass m and 2m and connected by a spring of rigidity k lie on a horizontal plane. Determine the period T of small longitudinal oscillations of the ystem, neglecting friction.

Two masses m_(1) and m_(2) connected by a spring of spring constant k rest on a frictionless surface. If the masses are pulled apart and let go, the time period of oscillation is-

Two blocks of masses m and m' are connected by a light spring on a horizontal frictionless table . The spring is compressed and then released . Find the ratio of acceleration of masses .

Two blocks A and B of masses m and 2m, respectively , are connected by a massless spring of force constant k and are placed on a smooth horizontal plane. The spring is stretched by an amount x and then released . The relative velocity of the blocks when the spring comes to its natural length is

A bar of mass m is suspended horizontally on two vertical springs of spring constant k and 3k . The bar bounces up and down while remaining horizontal. Find the time period of oscillation of the bar neglect mass of springs and friction everywhere

Two block of masses m_(1) and m_(2) connected by a light spring rest on a horixontal plane. The cofficient of friction between the block and the surface is equal to mu . What minimum constant force has to be applied in the horizontal direction to the block of mass m_(1) in order to shift the other block?

Two blocks A and B, each of mass m, are connected by a spring of force constant K. Initially, the spring is in its natural length. A horizontal constant force F starts acting on block A at time t=0 and at time t , the extension in the spring is seen to be l . What is the displacement of the block A in time t ?

Two blocks of Masses M and 2M are connected by a spring of stiffness k .The coefficient of friction between the blocks and the surface is mu Find the minimum constant force F to be applied to 2m in order to slide the mass M .

Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit, of force constant k . The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m_(1) . Initially spring is relaxed, both the blocks are at rest. What is acceleration of centre of mass of system at the instant of maximum elongation of spring