The motor, M, pulls on the cable with a force F= (101² + 300)N, where is in seconds. If the 100 kg crate is originally at rest at 1 = 0, determine its speed when t = 4 s. Hint: First find the time needed to begin lifting the crate. 170

The baggage truck A shown in the photo below has a weight of 900 lb and tows a 550-lb cart B and 325lb cart C. For a short time the driving frictional force developed at the wheels of the truck is 40t lb,where t is in seconds. If the truck starts from rest, determine its speed in 2 seconds. Also, what is thehorizontal force acting on the coupling between the truck and the cart B at this instant?

The 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' D

The horizontal force P = 40-10t N (t is the time measured in seconds) is applied to the 2- kg collar that slides along the inclined rod. 2 kg- -P = (40– 10r)N At time t = 0, the position coordinate of the collar is x = 0, and its velocity is vo = 3 m/s directed down the rod. Find the time T and the speed Sof the collar when it returns to the position x = 0 for the first time. Neglect friction.