A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass.
The center of mass for straightforward stiff objects with homogeneous density is found at the centroid. The center of mass will always rest immediately underneath a shape if it is suspended from a single point. Therefore, the center of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect. An experimental technique for determining the object's center of mass involves suspending it from two points and dropping plumb lines from those places.
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