Center of Mass

Find the y-coordinate of the center of mass of a 10-cm square plate whose density (in kg/m³) is ρ = 4.22⋅10⁴kg/m⁶⋅xy². The lower left-hand side of the plate is at the origin and the upper right-hand corner is at (10 cm, 10 cm). The plate is 0.30 cm thick.

(∫y⋅y²dy) / (∫y²dy) = ¾y = ¾⋅10cm = 7.5cm