If cable AD is tightened by a turnbuckle and develops a tension of 1200 lb , determine the tension developed in cable AB.

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At the top the sum of the x force components must be zero and the sum of the y force components must be zero.

It is a trig mess but no big deal.

To determine the tension developed in cable AB, we can use the principle of equilibrium. In an equilibrium state, the sum of all forces acting on a body is zero.

To apply this principle, we need to consider the forces acting on point A. In this case, there are two forces acting at A: the tension in cable AB, which we are trying to find, and the tension in cable AD, which is given as 1200 lb.

Since the turnbuckle at D is being tightened, it pulls the cable AD in tension. As a result, the tension in cables AB and AD are equal. Therefore, the tension developed in cable AB is also 1200 lb.