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**1. Homework Statement**

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?

**2. Homework Equations**

ΣF=0

Στ=0

τ=r*F

**3. The Attempt at a Solution**

Fx=Tension(cos(30))

Fy + Tension(sin(30))=528

Tension(sin30)(4m)=528(2m)

Tension= 528N

This is very wrong, I am so lost and confused please help.

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**