Figure shows a block P of mass m resting on a smooth horizontal ground, attached to one and a spring of force constant k and length l. If another block of same mass and moving with a velocity u towards right is placed on the block on which stick to it due to friction ,find the time it will take to reach its extreme position. Also find the amplitude of oscillation of the combined mass `2m`.

Figure shown a block P of mass m resting on a smooth horizontal ground, attached to one and a spring of force constant k in netural length. If another block od same mass and moving with a velocity u towards right is placed on the block on which stick to it due to friction ,find the time it will take to reach its exterme position. Also find the amplitude of oscillation of the combined mass 2m .

Figure shown a block P of mass m resting on a smooth horizontal surface, attached to a spring of force constant k which is rigidly fixed on the wall on left side, shown in the figure . At a distance l to the right of the block there is a rigid wall. If block is pushed towards loft so that spring is comparessed by a distance 5l//3 and when released, if will starts its oscillations. If collision of block with the wall is consdered to be perfectly elastic. Find the time period of oscillation of the block.

Consider a block of mass 'm' attached to a spring of spring constant 'K' as shown. Now a block of same mass 'm' moving with velocity 'u' strikes the other block and stick to it. Both blocks collectively start performing SHM . Choose the correct option(s) :

Consider a block of mass 'm' attached to a spring of spring constant 'K' as shown. Now a block of same mass 'm' moving with velocity 'u' strikes the other block and stick to it. Both blocks collectively start performing SHM . The amplitude (A) of their SHM is

A bullted of mass m embeds itself in a block of mass M resting on a smooth horizontal surface, attached to a spring of force constant k. If the initial sped of the bullet is v_(0) along horizontal, find (a) the maximum compression of the spring and (b) the time forthe bullet - block system to come to rest.

A block of mass m is placed on a rough horizontal floor and it is pulled by a ideal string by a constant force F as shown. As the block moves towards right the friction force on block

A block of mass m_1 resting on a frictionless horizontal surface is connected to a spring of spring constant k that is anchored in a near by wall. A block of mass m_2 is placed on the top of the first block. The coefficient of static friction between the two blocks is mu Assuming that the two blocks move together as a unit, find the period of oscillation of the system and also find maximum oscillation amplitude that permits the two bodies to move as a unit.

A block of mass 'm' is attached to the light spring of force constant K and released when it is in its natural length. Find amplitude of subsequent oscillations.

A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initally at rest in its equilibrium position. If now the block is pulled withe a constant force F, the maximum speed of the block is :