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Determining the Center of a Mass

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A square plate of uniform sheet metal, with edges of length 2a, is placed in the first quadrant of the xy plane with a corner at the origin. A circular hole, of diameter a, is centered in the quarter of the plate farthest from the origin, is removed from the plate. Where is the center of mass of the remaining metal?

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This solution provides steps to determine the center of mass of the remaining metal.

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