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Center of Mass Formula

Center of Mass Formula

The coordinates x-bar, y-bar — coordinates representing the center of mass (x̄, ȳ) of the center of mass of a plane figure are given by the formulas below. The formulas only apply for figures of uniform (constant) density.

 

Two center of mass formulas: x̄=Mx/m and ȳ=My/m for regions bounded by y=f(x) above x-axis, and between two curves f(x) and g(x).

 

 

See also

Centroid, moment, area under a curve, area between curves