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Finding the Centroid


Is there any means of finding the centroid of an object, or set of objects? I built a deck with an arbor, but the arbor beams started sagging far more than I anticipated (I built it before I started my engineering classes.), so I drew up the cross section of the arbor, so I can find the area of the pieces, but I was hoping there is a means of quickly getting the centroid so I can make the necessary calculations.

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