The coordinates of the positions of particles of mass 7, 4 and 10 gm are (1, 5,-3) , (2, 5, 7) and (3, 3,-1) respectively. Find the position of the centre of mass of the system?

Explanation

To find the center of mass of the system of particles, we will use the formula for the coordinates of the center of mass (COM) given by:

\[ x_{COM} = \frac{m_1 x_1 + m_2 x_2 + m_3 x_3}{m_1 + m_2 + m_3} \]

\[
y_{COM} = \frac{m_1 y_1 + m_2 y_2 + m_3 y_3}{m_1 + m_2 + m_3}
...