A small door weighing 16 lb is attached by hinges A and B to a wall and

Question:

A small door weighing 16 lb is attached by hinges A and B to a wall and is held in the horizontal position shown by rope EFH. The rope passes around a small, frictionless pulley at F and is tied to a fixed cleat at H. Assuming that the hinge at A does not exert any axial thrust, determine

(a) The tension in the rope,

(b) The reactions at A and B.