(5) Non-Planar Equilibrium Analysis (10 pts) A triangular plate is supported by a cable at A and a hinge at B. Its weight of 400 N acts at the plate's center of gravity, as shown in Fig. 5a. A free body diagram of the plate is shown in Fig. 5b. Write the equilibrium equations for the system in terms of the tension in the cable, T, and the loads acting on the plate at the hinge, Fax, FE), F32, M3,, and M32. You do not need to solve the equilibrium equations for the unknown loads. Figure 5a. Situation Figure 5b. Free-body Diagram