Answer to Question #203229 in Classical Mechanics for Mohsin Nawaz Khan

Question

Find the center of mass of twelve identical particles

Answer 1

Let the position of the particle from the origin be $r_1, r_2, r_3....r_{12}$

Let the masses of the particles are $m_1, m_2, m_3, m_4.... m_{12}$

Hence, center of mass of the system, $x_{com}=\frac{m_1r_1+m_2r_2+m_3r_3...m_{12}r_{12}}{m_1+m_2+m_3....m_{12}}$