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Math Help - Center of Mass(Centroid) and moments

  1. #1
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    Center of Mass(Centroid) and moments

    Hi, I need help finding the center of mass (centroid) of a region bounded by y = x^2 and y = 2x. But the moments are about y=-2 and x= 5, instead of the y-axis and x-axis.
    I need help setting up the integrals to find the moments and mass(=area of region).
    Note: assume no density (no laminas).

    Thanks in advance!
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  2. #2
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    I know that if I were to find the center of mass with the moments revolved about the y and x axes then the integrals would be:
    moment about y axis= \int\ x(2x-x^2)dx
    moment about x axis= \int\ (2x-x^2)*(1/2)*(2x+x^2)dx
    but trying to find the moments revolving them about y=-2 and x= 5 throws me off.
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