# Two ropes holding a weight. System is in equilibrium, how do I find T3?

1. Feb 19, 2010

### N.C.

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

I was given:
the angles connecting each rope to the celing (theta1=55.9, theta2=23.2)
the weight attached to the third rope (295 N)
the system is in equilibrium

2. Relevant equations
system is in equilibrium

3. The attempt at a solution
I have solved for T1=276N, and T2=168N, both of which I know to be true.

How do I solve for T3 (the rope connecting the other two ropes to the weight?) What information is relevant or helpful (e.g. how knowing the system is in equilibrium helps to find T1 and T2)?

I hope you can help!
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Feb 19, 2010

### collinsmark

Well, if I understand the problem correctly, one end of the 3rd rope is attached to 295 N weight only, and nothing else (at that particular end of the rope). The weight is not accelerating. So what must be the tension on that particular rope?

3. Feb 19, 2010

### N.C.

OH! It would be equal to the weight... because the system is in equilibrium!

Yeah I just checked and I got it. Thanks!