Where is the centre of mass of two isolated p | vedclass

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(C) The centre of mass $R$ of a system of two particles with masses $m_1$ and $m_2$ at positions $r_1$ and $r_2$ is given by $R = \frac{m_1r_1 + m_2r_

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At the midpoint of the line segment joining the two particles.

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(C) The centre of mass $R$ of a system of two particles with masses $m_1$ and $m_2$ at positions $r_1$ and $r_2$ is given by $R = \frac{m_1r_1 + m_2r_2}{m_1 + m_2}$.Given that the masses are equal,let $m_1 = m_2 = m$.Substituting this into the formula: $R = \frac{mr_1 + mr_2}{m + m} = \frac{m(r_1 + r_2)}{2m} = \frac{r_1 + r_2}{2}$.This expression represents the midpoint of the line segment joining the two particles.

Where is the centre of mass of two isolated particles of equal mass located?

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