Originally posted by: alyarb
finding equilibrium is not the challenge; anyone pre-physics understands how to achieve equilibrium. the problem asks to find an equilibrium such that the magnitude of the right cable is twice that of the left (theta comes out to 64.34. no shit the i components have to add up to 98.1 N). none of you have posted a helpful expression other than the obvious equilibrium equations which are by their obvious nature not helpful. if the expression is so simple, how about you guys do some evaluating and i'll tell you if you're right. 
yes statics is for children and physics is merely for chimps to perform while psychologists study the monkeys' work. physics is the simplest, most ubiquitously obvious mathematics, and anyone attempting a physics problem by hand should be diminutively ostracized, so on. i just wish someone would post something related to this problem rather than propose without proof that you are all academic giants.
		
		
	 
Dude, it's easy. The force in CB is 2 x CA. CB = 2CA. 
Did you lay this out the way you are supposed to? 
1. Draw FBD
2. List the unknowns
3. List the equations that you will use.
If you did number 1, you would have:
2. Force in CA, Force in CB, theta. That's 3 unknowns.
3. SumFx, SumFy, that's 2 equations. Where does your third equation come from? Like I said above, CB = 2CA. 
CA = 42.6N
Now I've just done your homework for you, which is not the way to learn anything.
The only way you haven't found CA and CB yet, is by not summing your forces in Y.
My statics professor L.G. Kraige said exactly what I told you. All of these statics problems are the same, you draw your FBD, write out your number of unknowns, and write out your number of equations. WRITE. IT. OUT. Don't try to do it all in your head, at least not at first.