Center Of Mass

#Physics

$\displaystyle \vec{R}=\frac{1}{M}\sum_{\alpha}m_{\alpha}\vec{r}_{\alpha}$

  • $\displaystyle \vec{R}$ is the position of center of mass of the system
  • $\displaystyle M$ is the total mass of the system
  • $\displaystyle m_{\alpha}$ is the mass of the $\displaystyle \alpha$th particle
  • $\displaystyle \vec{r}_{\alpha}$ is the position of the $\displaystyle \alpha$th particle

$\displaystyle \vec{R}=\frac{1}{M}\int \vec{r} , \mathrm{d}m$