3/151 The system is released from rest with the spring initially stretched 2 in. Calculate the velocity of the 100-lb cylinder after it has dropped 6 in. Alse determine the maximum drop distance of the cyl- inder. Neglect the mass and friction of the pulleys. k = 5 lb/in. 100 lb Problem 3/151

Solve the following problem.

The two spheres of equal mass m are able to slide along the horizontal rotating rod. If they are initially latched in position a distance r from the rotating axis with the assembly rotating freely with an angular velocity wo, determine the new angular velocity w after the spheres are released and finally assume positions at the ends of the rod at a radial distance of d = 2.8r. Also find the fraction n of the initial kinetic energy of the system which is lost. Neglect the small mass of the rod and shaft. Answers: W = n= 711 i i ale m Wo

3/170 The system is at rest with the spring unstretched when 0 = 0. The 3-kg particle is then given a slight nudge to the right. (a) If the system comes to mo- mentary rest at 0 = 40°, determine the spring con- stant k. (b) For the value k = 100 N/m, find the speed of the particle when 0 = 25°. Use the value b = 0.40 m throughout and neglect friction. C B b m Problem 3/170 A 1.256