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Determine the length of the third segment

  1. Jan 18, 2009 #1
    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.
    Fig1-20.jpg

    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. jcsd
  3. Jan 18, 2009 #2
    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!
     
  4. Jan 18, 2009 #3
    Re: equilibrium

    I can't see the image try uploading it to imageshack or something then posting the link, thanks.
     
  5. Jan 18, 2009 #4
  6. Jan 18, 2009 #5

    LowlyPion

    User Avatar
    Homework Helper

    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.
     
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