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Statics: Centroid of a wire

  1. Jul 24, 2013 #1
    1. The problem statement, all variables and given/known data
    2C7ksNe.png


    2. Relevant equations
    ƩxiLi=0


    3. The attempt at a solution
    Using geometry to find the lengths and rotating so AB is horizontal, I have:
    CQ8E20S.png


    ƩxiLi=0: [((64/80)*L)/2]*L + (-64/2)*80 + (-14/2)*100 = 0

    L = 90.28mm
     
  2. jcsd
  3. Jul 24, 2013 #2

    TSny

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    I'm not getting the 14/2 factor. Everything else looks good to me.
     
  4. Jul 24, 2013 #3
    The centroid of line AB is right in the middle, 50mm from either edge. Looking at the left side, 64-50=14, and it is negative because it is to the left of the origin.
     
  5. Jul 24, 2013 #4

    TSny

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    But why divide the 14 by 2?
     
  6. Jul 24, 2013 #5
    Oh, wow haha, you're right. Didn't need to divide by 2, now the equation works for me.
     
  7. Jul 24, 2013 #6

    TSny

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    OK, good.
     
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