Write an expression for the location of centre of mass of a two particle system. Discuss the result.

The location of the center of mass in a two-particle system is determined by a weighted average of the positions of the two particles, with their masses serving as weights. This means that the center of mass is influenced more by the particle with the larger mass. If the particles have equal mass, the center of mass will lie halfway between them. Conversely, if one mass is significantly larger, then the center will be closer to it. For the purposes of computation, the center of mass may be treated as a point with the entire mass concentrated there, which affects the motion and stability of a system in many applications.