For ten points, identify this location, the weighted average of a system's mass.
For a non-uniform three-dimensional object, this entity is represented by the vector X such that integrating the difference between X and a given point times the density at that point with respect to volume is zero. For two binary objects moving elliptically, their speeds are greatest the closer they are to this entity. It can be found experimentally by intersecting two plumb lines, and the (*) parallel-axis theorem demonstrates that moment of inertia is minimized when an axis goes through this point. It is the point at which gravitational torque is zero, and for uniform objects it is located at the centroid. For ten points, identify this location, the weighted average of a system's mass.
For a non-uniform three-dimensional object, this entity is represented by the vector X such that integrating the difference between X and a given point times the density at that point with respect to volume is zero.
{center of mass} (or {center of gravity})