What Angle \(\phi\) Balances the Pulley in Static Equilibrium?

[msds1502]

Homework Statement

(rotate picture 90 degree clockwise)
A 50 lb weight is supported by a wire attached to a pulley at point B. The Pulley rests on wire ABC. If the tension in wire ABC is equal to 70lb determine the angle \phi necessary to keep point B in balance

Homework Equations

F=ks

The Attempt at a Solution

I Know there is some force acting from C to D. There is also some spring force acting from C to E. What I don't understand is how to model the FBD with the tension force ABC and 50lb weight at point C

 

[PhanthomJay]

Homework Statement

(rotate picture 90 degree clockwise)
A 50 lb weight is supported by a wire attached to a pulley at point B. The Pulley rests on wire ABC. If the tension in wire ABC is equal to 70lb determine the angle \phi necessary to keep point B in balance

Homework Equations

F=ks

The Attempt at a Solution

I Know there is some force acting from C to D. There is also some spring force acting from C to E. What I don't understand is how to model the FBD with the tension force ABC and 50lb weight at point C

The problem is asking for the angle \phi when the pulley is in equilibrium. Draw a free body diagram of the pulley only. The weight is given and the tension in the rope on each side of the pulley is give. So use Newton's first law in the x direction and in the y direction, to solve for the angle.