Find the center of mass of the thin plate occupying the region D bounded by the...
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Find the center of mass of the thin plate occupying the region D bounded by the parabola y-2-² and the line y = z if the density at (x, y) is p(x, y) = x² 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: M₂ = and My= So, the center of mass is (z,y), where J = Find the center of mass of the thin plate occupying the region D bounded by the parabola y-2-² and the line y = z if the density at (x, y) is p(x, y) = x² 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: M₂ = and My= So, the center of mass is (z,y), where J =
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