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Math Help - setting up a triple integral to get center of mass.

  1. #1
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    setting up a triple integral to get center of mass.

    I have this problem, but I didnt have the correct answer for the mass:


    the correct answer is 1/12 for the mass. Can someone tell me if my setup is correct?

    I set it up as a triple integral, with 0 to 1 for my x bound, 0 to 2-x for my y bound, and 0 to 2 for my z bound. Im integrating x dz dy dx.
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    Quote Originally Posted by Evan.Kimia View Post
    I have this problem, but I didnt have the correct answer for the mass:


    the correct answer is 1/12 for the mass. Can someone tell me if my setup is correct?

    I set it up as a triple integral, with 0 to 1 for my x bound, 0 to 2-x for my y bound, and 0 to 2 for my z bound. Im integrating x dz dy dx.
    I do not think so.

    [IMG]19759[/IMG]

    The front plane in the tetrahedron is given by
    z=2-2x-2y
    and bound by the coordinate axis. It is always helpful to sketch a graph of the region of integration. How will this affect you limits of integration?
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