Statics problem - too many unknowns?

[Gauss M.D.]

Homework Statement

See attachment. Find the tension in the string that is keeping this weird contraption together. The left stick has mass m, the right stick has mass 2m. m, θ and L are known quantities.

Homework Equations

The Attempt at a Solution

Tried starting with the right stick since there's less unknowns there. There's five forces acting upon it I think. By, Bx, T, Cy and 2mg.

I got these equilibrium equations:

By + Cy - 2mg = 0
T + Bx = 0
Cy*0.5cosθ - By*0.5cosθ - Bx*0.5sinθ = 0

Not sure where to go from here. Having a REALLY tough time getting an intuition for statics.

 

[mfb]

You could add the left stick.
This will give 3 equations again, but just 2 additional unknown parameters. In total, you get 6 unknown parameters and 6 equations.