Find the center of mass of the thin plate occupying the region D bounded by the parabola y-2- and the line y = z if the density at (x, y) is p(x, y) = x Solution: Enter your answers as a fraction a/b. We first evaluate the mass of the plate: m = The moments M, and My of the plate about z-axis and y-axis are: M = and My= So, the center of mass is (z,y), where J =