# Homework Help: Determine the length of the third segment

1. Jan 18, 2009

### dnp33

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

A thin uniform metal rod is bent into three perpendicular segments, two of which have length L = 4.67 m. Determine the length of the third segment such that the unit will hang with two segments horizontal when it is supported by a hook as shown in the figure.

2. Relevant equations
sum T=0
sum F=0
mgr=T
mg=F
3. The attempt at a solution
i tried a number of different ways to solve the problem but it seems like nothing has a chance of working

PS this is the first time i've posted on here, i looked through some other posts and read the rules to figure out the etiquette but if i still did anything wrong please just let me know it wasn't on purpose.

2. Jan 18, 2009

### jaob70

Re: equilibrium

I have the same problem as you, I did a google search for this question and got this thread. I have no idea how to solve it though. Good Luck!

3. Jan 18, 2009

Re: equilibrium

I can't see the image try uploading it to imageshack or something then posting the link, thanks.

4. Jan 18, 2009

### jaob70

5. Jan 18, 2009

### LowlyPion

Re: equilibrium

If it is in equilibrium then the center of mass lies directly below the point of support.

Find the point that it balances right?

x = 1/M*∑ xi*mi

Since this x is located at L from the right ... you need to solve for the unknown length of the bottom piece (it appears in the sum of the moments) that you don't know.