Conditions of equilibrium Kate joins Jim, Luis, and Adrienne in the rope-pu...

Conditions of equilibrium

Kate joins Jim, Luis, and Adrienne in the rope-pulling exercise described in the previous two problems. This time, they tie four ropes to a ring. The three friends each pull on one rope, exerting the following forces: (50 N in the positive y-direction), (20 N, 25° above the negative x-axis), and (70 N, 70° below the negative x-axis). Kate pulls rope 4, exerting a force so that the ring remains in equilibrium. (a) Construct a force diagram for the ring. (b) Use the first condition of equilibrium to write two equations that can be used to determine T_{4 on R x} and T_{4 on R y} (c) Solve these equations and determine the magnitude and direction of