Two blocks A and B of mass `m` and `2m` are connected together by a light spring of stiffness `k`. The system is lying on a smooth horizontal surface with block A in contact with a fixed vertical wall as shown in the figure. The block B is pressed towards the wall by a distance `x_0` and then released. There is not friction anywhere. If spring takes time `Deltat` to aquire its natural length then average force on the block A by the wall is

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 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 A and B of the same mass are connected to a light spring and placed on a smooth horizontal surface B is given velocity v_(0) (as shown in the figure) when the spring is in natural length. In the subsequent motion.

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 identical blocks A and B of mass m joined together with a massless spring as shown in figure are placed on a smooth surface. If the block A moves with an acceleration a_0 , then the acceleration of the block B is

Two blocks A and B of mass m and 2m respectively are connected by a massless spring of spring constant K . This system lies over a smooth horizontal surface. At t=0 the bolck A has velocity u towards right as shown while the speed of block B is zero, and the length of spring is equal to its natural length at that at that instant. {:(,"Column I",,"Column II"),((A),"The velocity of block A",(P),"can never be zero"),((B),"The velocity of block B",(Q),"may be zero at certain instants of time"),((C),"The kinetic energy of system of two block",(R),"is minimum at maximum compression of spring"),((D),"The potential energy of spring",(S),"is maximum at maximum extension of spring"):}

A block of mass 2 kg is on a smooth horizontal surface. A light of force constant 800 N//m has one end rigidly attached to a vertical wall and lying on that horizontal surface. Now the block is moved towards the wall compressing the spring over a distance f 5 cm and then suddenly released. By the time the spring regains its natural length and looses contact with the block, the velocity acquired by the block will be

Two blocks of mass m_(1) and m_(2) are connected with a spring of natural length l and spring constant k. The system is lying on a smooth horizontal surface. Initially spring is compressed by x_(0) as shown in figure. Show that the two blocks will perform SHM about their equilibrium position. Also (a) find the time period, (b) find amplitude of each block and (c) length of spring as a function of time.