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 blocks of masses m_(1) and m_(2) , connected by a weightless spring of stiffness k rest on a smooth horizontal plane as shown in Fig. Block 2 is shifted a small distance x to the left and then released. Find the velocity of centre of mass of the system after block 1 breaks off the wall.

Two block of masses m_(1) and m_(2) connected by a light spring rest on a horizontal plane. The coefficient 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?

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

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 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 .

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

A block Q of mass 2m is placed on a horizontal frictionless plane. A second block of mass m is placed on it and is connected to a spring of spring constant K, the two block are pulled by distance A. Block Q oscillates without slipping. The work done by the friction force on block Q when the spring regains its natural length is: