# Thread: Center of Mass(Centroid) and moments

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

Hi, I need help finding the center of mass (centroid) of a region bounded by $\displaystyle y = x^2$and $\displaystyle y = 2x$. But the moments are about $\displaystyle y=-2$ and $\displaystyle x= 5$, 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).

2. 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=$\displaystyle \int\ x(2x-x^2)dx$
moment about x axis= $\displaystyle \int\ (2x-x^2)*(1/2)*(2x+x^2)dx$
but trying to find the moments revolving them about $\displaystyle y=-2$ and $\displaystyle x= 5$ throws me off.