The 20-lb box slides on the surface for which μ = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. If it strikes the smooth plate, which has a weight of 10 lb and is held in position by an unstretched spring of stiffness k = 400 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly.

The block has a mass of 40 kg and rests on the surface of the cart having a mass of 78 kg If the spring which is attached to the cart and not the block is compressed 0.2 m and the system is released from rest, determine the speed of the block with respect to the cart after the spring becomes undeformed. Neglect the mass of the wheels and the spring in the calculation. Also neglect friction. Take k = 310 N/m

The collar has a mass of 28-kg and slides along the smooth rod. Two springs are attached to it and the ends of the rod as shown. S kA kB: 12 0.25 m Each spring has an uncompressed length of I1=2-m and l2=3-m and stiffnesses k1=51-N/m and k2=176-N/m respectively. Determine the velocity that must be subjected to the collar to generate a compression of 0.7 m

If the force exerted on cable AB by the motor is F = ( 110 t 3/2 ) N, where tt is in seconds, determine the 55-kg crate's velocity when ttt = 5 s . The coefficients of static and kinetic friction between the crate and the ground are μs = 0.37 and μk = 0.29, respectively. Initially the crate is at rest. (Figure 1)

The 0.31-kg mass slides on a frictionless wire that lies in the vertical plane. The spring attached to the mass has a free length of 80 mm and stiffness of 0.13 N/mm. Calculate the smallest value of the distance b so that the mass will reach the end of the wire at B after being released from rest at A.