Determine the length of the third segment

[dnp33]

Homework Statement

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.

Homework Equations

sum T=0
sum F=0
mgr=T
mg=F

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.

 

[jaob70]

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!

 

[badreligion]

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

 

[jaob70]

you can see it here

http://session.masteringphysics.com/problemAsset/1039098/5/YF-11-36.jpg

 

[LowlyPion]

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*∑ x_i*m_i

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.