The Farmyard Gate A gate 4.00 m wide and 2.00 m high weighs 500 N. Its center of gravity is at its center, and it is hinged at A and B. To relieve the strain on the top hinge, a wire CD is connected as shown in Fig. 11.53. The tension in CD is increased until the horizontal force at

The Farmyard Gate A gate 4.00 m wide and 2.00 m high weighs 500 N. Its center of gravity is at its center, and it is hinged at A and B. To relieve the strain on the top hinge, a wire CD is connected as shown in Fig. 11.53. The tension in CD is increased until the horizontal force at hinge A is zero.
(a) What is the tension in the wire CD?
(b) What is the magnitude of the horizontal component of the force at hinge B?
(c) What is the combined vertical force exerted by hinges A and B?