A system consists of two identical cubes, each of mass m, linked together by the compressed weightless spring of stiffness `ϰ` (figure). The cubes are also connected by a thread which is burned through at a certain moment. Find:
(a) at what values of `Deltal`, the initial compression of the spring, the lower cube will bounce up after the thread has been burned through:
(b) to what height h the centre of gravity of this system will rise if the initial compression of the spring `Deltal=7mg//ϰ`.

A system consists of two identical blocks, each of mass m, linked together by the compressed weightless spring of stiffness k, as shown in figure -3.57. The blocks are connected by a thread which is burned through at a certain moment. Find (a) At what values of initial compression, the inital compression of the spring, the lower block will bounce up after the thread has been burned through To what height will the centre of gravity of this system will rise if the initial compression of the spring is 7 mg//k

A system consists of two identical cubes, each of mass 3kg , linked together by a compressed weightless spring of force constant 1000Nm^-1 . The cubes are also connected by a thread which is burnt at a certain moment. At what minimum value of initial compression x_0 (in cm) of the spring will the lower cube bounce up after the thread is burnt together?

A system consists of two identical cubes, each of mass 3kg , linked together by a compressed weightless spring of force constant 1000Nm^-1 . The cubes are also connected by a thread which is burnt at a certain moment. At what minimum value of initial compression x_0 (in cm) of the spring will the lower cube bounce up after the thread is burnt together?

Two blocks of masses m and M connected by a light spring of stiffness k, are kept on a smooth horizontal surface as shown in figure. What should be the initial compression of the spring so that the system will be about to break off the surface, after releasing the block m_1 ?

Two blocks of masses m and M connected by a light spring of stiffness k, are kept on a smooth horizontal surface as shown in figure. What should be the initial compression of the spring so that the system will be about to break off the surface, after releasing the block m_1 ?

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.

A system consists of two cubes of mass m_(1) , and m_(2) respectively connected by a spring of force constant k. force (F) that should be applied to the upper cube for which the lower one just lifts after the force is removed, is

A system consists of two cubes of mass m_(1) , and m_(2) respectively connected by a spring of force constant k. force (F) that should be applied to the upper cube for which the lower one just lifts after the force is removed, is

Two identical blocks, each of mass m, are connected through a massless spring of force constant k and arranged as shown in fig the spring is compressed by an amount y by applying an external force and released (a) What is the velocity of upper block when the spring is relaxed (b) What should be the initial compression of the spring so that the lower block is just raised above the floor ?