An impulse of "I=30N" -sec is given at "t=0" to "3kg" block attached with "2" block with the help of spring in natural length.Initially the system is at rest and all surfaces are smooth.Find velocity of centre of mass at "t=5sec"?

A plank of mass 5kg is placed on a frictionless horizontal plane. Further a block of mass 1kg is placed over the plank. A massless spring of natural length 2m is fixed to the plank by its one end. The other end of spring is compressed by the block by half of spring's natural length. They system is now released from the rest. What is the velocity of the plank when block leaves the plank? (The stiffness constant of spring is 100N//m )

A planck of mass 5kg is placed on a frictionless horizontal plane. Further a block of mass 1kg is placed over the plank. A massless spring of natural length 2m is fixed to the plank by its one end. The other end of spring is compressed by the block by half of spring's natural length. They system is now released from the rest. What is the velocity of the plank when block leaves the plank? (The stiffness constant of spring is 100N//m )

A planck of mass 5kg is placed on a frictionless horizontal plane. Further a block of mass 1kg is placed over the plank. A massless spring of natural length 2m is fixed to the plank by its one end. The other end of spring is compressed by the block by half of spring's natural length. They system is now released from the rest. What is the velocity of the plank when block leaves the plank? (The stiffness constant of spring is 100N//m )

Initialy spring in its natural length now a block at mass 0.25 kg is released then find out maximum force by system on floor ?

The arrangement shown in figure is at rest. An ideal spring of natural length l_0 having spring constant k=220Nm^-1 , is connected to block A. Blocks A and B are connected by an ideal string passing through a friction less pulley. The mass of each block A and B is equal to m=2kg when the spring was in natural length, the whole system is given an acceleration veca as shown. If coefficient of friction of both surfaces is mu=0.25 , then find the maximum extension in 10(m) of the spring. (g=10ms^-2) .

Figure shows two block A and B , each having a mass of 320 g connected by a light string passing over a smooth light pulley. The horizontal surface on which the block A can slide is smooth. The block A is attached to spring constant 40 N//m whose other end is fixed to a support 40 cm above the horizontal surface. Initially, the spring is vertical and unstretched when the system is released to move. Find the velocity of the block A at the instant it breaks off the surface below it. Take g = 10 m//s^(2) .

A block of mass m is connected to a spring (spring constant k ). Initially the block is at rest and the spring is in its natural length. Now the system is released in gravitational field and a variable force F is applied on the upper end of the spring such that the downward acceleration of the block is given as a=g-alphat , where t is time elapses and alpha=1m//s^(2) , the velocity of the point of application of the force is:

Block A of mass m is placed on a plank B . A light support S is fixed on plank B and is attached with the block A with a spring of spring constant K . Consider that initially spring is in its natural length. If the plank B is given an acceleration a, then maximum compression in the spring is (xma)/(k) . Find the value of x (All the surface are smooth)

Two blocks A and B of masses in and 2m , respectively, are connected with the help of a spring having spring constant, k as shown in Fig. Initially, both the blocks arc moving with same velocity v on a smooth horizontal plane with the spring in its natural length. During their course of motion, block B makes an inelastic collision with block C of mass m which is initially at rest. The coefficient of restitution for the collision is 1//2 . The maximum compression in the spring is

A spring block system is placed on a horizontal rough surface as shown in the figure. The block is given velocity when the spring is in natural length. The total distance travelled by the block before if finally comes to rest is 2/k meters. Find the value of k