13-57. The collar A, having a mass of 0.75 kg, is attached to a spring having a stiffness of k = 200 N/m. When rod BC rotates about the vertical axis, the collar slides outward along the smooth rod DE. If the spring is unstretched when s = 0, determine the constant speed of the collar in order that s = 100 mm. Also, what is the normal force of the rod on the collar? Neglect the size of the collar. k = 200 N/m

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. v = 15 ft/s 2 ft

-y = 45 - hft k lblft www Ift The 5-lb collar has a speed of 3 ft.s1 at A. The attached spring has an unstretched length of 2- ft and a stiffness of k=17lb.ft1. If the collar moves over the smooth rod, determine its speed when it reaches point B. The height of A is h=9-ft and B is at l=4-ft from the vertical of A

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

The collar with mass of 0.7 kg is released from rest at position A and travels down the smooth circular rod in the vertical plane. If the velocity of the collar at Point C is 3.3 m, determine the tangential component of acceleration of the collar (in m) at Point C. The spring has a stiffness of k = 140 N and an unstretched length of 0.5 meters. Consider R = 1.7 meters, 0 = 33°, and g =10 A m R/2 D В R

The homogeneous cylinder A has a mass of 80 kg, and the mss of the hub can be neglected. The magnitude of the variable force P, is in newtons when t is in sec- onds. The velocity of body B changes from 2 m/s downward when t = 0 to 4 m/s downward t = 5 s. Determine the mass of B. Solve all questions using Impulse and Momentum methods

The 750-mm-long spring is compressed by the plate P, which can slide freely on the 600- mm-long vertical bars. The 55.6-kg block is given a velocity of v = 5 m/s when it is x = 2 m above the plate. Determine how far the plate travels down when the block stops momentarily after hitting it. Neglect the mass of the plate. v = 5 m/s P k = 25 kN/m- A h = 2m 600 mm