Solving 3D Equilibrium: Finding FBA & Alpha

[jimbo71]

Homework Statement

I am having difficulty with the algebra for a particular statics problem. A weight is hanging down and three strings and a spring support it in equilibrium. FBA is the force acting along the BA vector. I must solved for alpha in terms of FBA. There is also a spring force acting on the weight
how do i solve for FBA?
FBAcos(10/FBA)=10(((10-5cos(10/FBA))-5)

Homework Equations

The Attempt at a Solution

 

[quantumdude]

I'm afraid there's not nearly enough in your post for me to even draw this out accurately. Would it be possible for you to scan the problem statement and attach the image to your next post?

 

[jimbo71]

I don't need help setting up or understanding how to solve the original problem. I just cannot figure out how to solve this equation FBAcos(10/FBA)=10(((10-5cos(10/FBA))-5)

 

[HallsofIvy]

That reduces slightly (x+ 10)cos(10/x)= 50, with x= FBA but there is no "algebraic" way to solve that equation for FBA. You will need to use some kind of numerical solution.