A gate 4.00 m wide and 2.00 m high weighs 528 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 to the gate at an angle of 30 degrees. The tension in CD is increased until the horizontal force at hinge A is zero. What is the tension in wire CD?
The Attempt at a Solution
Fy + Tension(sin(30))=528
This is very wrong, I am so lost and confused please help.