A 3m x 4m rigid board of weight W is free to rotate about the hinge. Equilibrium is maintained by a rope connecting a point B (with a = 2m) at the edge of the board to a point A (0,1,2) on the wall....

A 3m x 4m rigid board of weight W is free to rotate about the hinge. Equilibrium is maintained by a rope connecting a point B (with a = 2m) at the edge of the board to a point A (0,1,2) on the wall. Tension in the rope is found to be 500 N. Note the chosen x-y-z coordinate frame. (a) Draw a free body diagram of the board (without hinge) only. (b) Find the moment induced by the rope tension about the hinge. (c) Find weight of the board W.