Dependence of Center of Mass (1997)

The centre of mass of system of particles does not depend on:

(1997)

Position of the particles

Relative distances between the particles

Masses of the particles

Forces acting on the particle

Concept: Definition and properties of center of mass. Formula: $\vec{R}_{cm} = \frac{\sum m_i \vec{r}_i}{\sum m_i}$.

Solution: Center of mass depends only on masses and positions, independent of internal or external forces acting on particles.