Two cubes of mass `m_(1)` and `m_(2)` are interconnected by a weightless spring of stiffness k and placed on a smooth horizontal table. Then the cubes are drawn closer to each other and released. Find the frequency of oscillation.

Two cubes with masses m_(1) and m_(2) were interconnected by a weightless spring of stiffness x and placed on a smooth horizontal surface. Then the cubes were drawn closer to each other and released simultaneously. Find the natural oscillation frequency of the system.

Two blocks of masses m_(1) and m_(2) being connected with a light spring of stiffness k are driven with forces F_(1) and F_(2) on a smooth horizontal plane.

Two bars of masses m_1 and m_2 connected by a weightless spring of stiffness ϰ (figure) rest on a smooth horizontal plane. Bar 2 is shifted a small distance x to the left and then released. Find the velocity of the centre of inertia of the system after bar 1 breaks off the wall.

Two bars of masses m_1 and m_2 connected by a weightless spring of stiffness k , rest on a smooth horizontal plane. Bar 2 is shifted by a small distance x_0 to the left and released. The veloicyt of the centre of mass of the system when bar 1 breaks off the wall is

Two blocks of masses m_(1) and m_(2) are connected by a massless spring and placed on smooth surface. The spring initially stretched and released. Then :

Two blocks A and B of masses m and 2m respectively are connected together by a light spring of stiffness k and then placed on a smooth horizontal surface. The blocks are pushed towards each other such that spring gets compressed by a length x_(0) and then released from rest. Find the work done on the block A by the spring, by the time the spring acquires its natural length.

Two blocks A and B of mass m and 2m respectively are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. Spring is stretched by a length x and then released. Find the relative velocity of the blocks when the spring comes to its natural length

Two blocks of masses m_(1) and m_(2) interconnect with a spring of stiffness K , are kept on as smooth horizontal surface. Find out the ratio of velocity, displacement, kinetic energy and acceleration block with mass m_(1) of block with mass m_(2) .

Two small discs of masses m_1 and m_2 interconnected by a weightless spring rest on a smooth horizontal plane. The discs are set in motion with initial velocities v_1 and v_2 whose directions are mutually perpendicular and lie in a horizontal plane. Find the total energy overset~E of this system in the frame of the centre of inertia.