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Integral Formulas for Center of Mass of Uniform Density

  1. Oct 3, 2011 #1
    1. The problem statement, all variables and given/known data

    I'm being given problems regarding the center of mass of a uniformly dense object, and I am told by the textbook to use:

    [itex]\frac{1}{V}\int x dV[/itex]

    I have no idea what to do with that. I'm pretty sure I won't be learning anything about multiple variable integrals for two years. There must be some other way?

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Oct 4, 2011 #2


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    Homework Helper

    In case of a "flat" object of uniform thickness H, dV=y(x) H dx. So you need single-variable integrals.


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