# Math Help - center of mass

1. ## center of mass

Consider the thin plate, of constant density p , which lies above the x-axis and between the two ellipses $x^2+y^2/4=1 , x^2/4+y^2/16=1$ Find its center of mass(HINT: In order to reduce the amount of integration required, use symmetry and the formula which states that the area A of the region enclosed by the ellipse $A = piab$ )

2. To locate the center of mass, you'll need the area of the region, the moment about the x-axis and the moment about the y-axis. Use the hint your problem gave to solve for the area. The formula for the moments should be in your book, if not look here