A thin rectangular plate of uniform area density σ1 = 1.05 kg/m2 has a length a = 0.600 m and a width b = 0.250 m. The lower left corner is placed at the origin, (x, y) = (0, 0). A circular hole of radius r = 0.048 m with center at (x, y) = (0.068 m, 0.068 m) is cut in the plate. The hole is plugged with a disk of the same radius that is composed of another material of uniform area density σ2 = 5.32 kg/m2. What is the distance from the origin of the resulting plate’s center of mass?

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