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June 1st, 2013, 08:07 AM   #1
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Center of mass

please find Center of mass.
thank you
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June 4th, 2013, 03:11 PM   #2
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Re: Center of mass

The center of mass (since these are geometric figures and have no "density function", strictly speaking the term is "centroid") of a triangle is the average of the coordinates of the three vertices. For figures with more than three sides, you can divide into triangles, find the centroid and area of each, then do a "weighted average", the centroid of each triangle weighted by its area.

Or you could use the integral definition of "centroid"

where the integrals are taken over the entire figure.
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