The Centroid via Boundary Measurements The centroid (see
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The Centroid via Boundary Measurements The centroid (see Section 15.5) of a domain D enclosed by a simple closed curve C
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The Centroid via Boundary Measurements The centroid (see Section 15.5) of a domain D enclosed by a simple closed curve C is the point with coordinates (x, y) = (My /M, Mx /M), where M is the area of D and the moments are defined by Mx = D y dA, My = D x dA Show that Mx = C xy dy. Find a similar expression for My .
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