Problem 1 (10 points) A 20 kg rod held in place by a horizontal rope attached to one end and a pin joint connecting it to a wall at the other. The rod is free to rotate around the pin joint. The rod is held at a
35\deg
angle to the horizontal and is currently at rest. (a) Draw a free-body diagram for the rod. Label the x and y components of each force in your diagram. (b) Find the tension in the rope. (c) A 55 kg man jumps up and hangs from the rod by one hand, at a point 0.28 m along the rod from the wall. This causes the tension in the rope to increase to 400 N . How long is the rod?