Static Equilibrium With Spring

1. Oct 31, 2010

msds1502

1. The problem statement, all variables and given/known data
(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

2. Relevant equations
F=ks

3. 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
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Oct 31, 2010

PhanthomJay

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.