# Static equilibrium

1. Oct 2, 2016

### Robb

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

Each cord can sustain a maximum tension of 31 lb .

Determine the largest weight of the lamp that can be supported.
Determine θ of cord DC for equilibrium.
2. Relevant equations

3. The attempt at a solution
I found the answer to the first part of the problem (24.4lb) but not sure how to get theta.

2. Oct 2, 2016

### Staff: Mentor

How did you get the maximal weight without knowing the angle?
What did you try so far?
What is the first step?

3. Oct 2, 2016

### Robb

Sorry for the hand written notes. The answer to the first part is boxed in in the middle of the page. I haven't really done anything other than stare at my equations for the second part. I assume I am working with the equations associated with the FBD at the bottom of the page. T(1)=12.63lb., T(2)=17.86lb, T(3)=30.93lb

4. Oct 2, 2016

### haruspex

As mfb posted, you cannot be sure of your answer to a) until you have found theta.
You can find T4 from analysis of B.

5. Oct 3, 2016

### Staff: Mentor

The CD connection could break as well. You cannot know when that happens without the angle.