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 Igrave , y Igrave ) (My M,Mx M), where M is the area of D and the moments are defined by Show that Find a similar expression for My xydy

Question: 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

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 (xÌ…, yÌ…) = (My/M,Mx/M), where M is the area of D and the moments are defined by

Show that

Find a similar expression for My.

xydy

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