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Location of a Centroid

  1. May 13, 2010 #1
    I'm at a complete loss on this one, so far. This problem needs to be solved symbolically with Matalb (which won't be a problem once I know what to do), but I'm not even sure where to begin. Any help would be greatly appreciated

    [PLAIN]http://img227.imageshack.us/img227/9344/prob18.jpg [Broken]
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. May 13, 2010 #2


    Staff: Mentor

    Due to symmetry of the function xc = b/2. To find xc, just evaluate the two integrals. Are you having trouble setting them up?
  4. May 13, 2010 #3
    Yes, I'm unsure how to manipulate the other functions in order to relate everything. I just seem to be completely missing something
  5. May 13, 2010 #4


    Staff: Mentor

    That's pretty vague. You need to evaluate two integrals. What do you have for them?
  6. May 13, 2010 #5
    I was just being dumb, looking at the problem the wrong way. I was trying to relate yc and y, and I wasn't considering how y and dx were factoring into dA and y_bar.

    I now have:
    y_bar = y/2

    dA = y*dx

    yc = (1/2) Integral(y2*dx) / Integral(y*dx)
    evaluated from 0 to b

    where y = H*sin(pi*x/b)
  7. May 13, 2010 #6


    Staff: Mentor

    Yes, that's pretty much it.
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