What Is the Equilibrium Angle Theta in a Spring and Cord System?

[quantum_enhan]

Homework Statement

A vertical force P=10 N is applied to the ends of the 0.2 m cord AB and spring AC. If the spring has an unstretched length of 0.2 m. determine the angle theta for equilibrium. Take k = 150 N/m.

Homework Equations

Fspring=ks
Fy=0
Fx=0

The Attempt at a Solution

Any of my attempts at this solution have resulted in pages and pages of work. I really am not seeing a short cut as to find the angle theta.

 

[Quinzio]

The link is broken

 

[quantum_enhan]

 

[quantum_enhan]

 

[Quinzio]

Honestly, I cannot say this is something difficult...
You don't show any equation, any force diagrams.

How can you represent on the plane the cord and spring forces ?