Center of Mass(Centroid) and moments

• Sep 6th 2009, 11:29 AM
xxsteelxx
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).

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.