Final conceptual check.
I. The center of mass is a unique point for a given system.
II. Two bodies of different masses can have the same center of mass location if they overlap.
III. The center of mass is the point about which the sum of mass moments (Σmᵢrᵢ) is zero.
IV. Knowing the trajectory of the CoM gives complete information about the motion of every particle in the system.
V. The velocity of the CoM is the mass-weighted average velocity of the system.
