When two masses m and M (M m) are connected | vedclass

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(B) The center of mass of a system of two particles is located on the line joining them. The position of the center of mass $R_{cm}$ is given by $R_{c

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Towards $M$

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(B) The center of mass of a system of two particles is located on the line joining them. The position of the center of mass $R_{cm}$ is given by $R_{cm} = \frac{m_1r_1 + m_2r_2}{m_1 + m_2}$.For two masses $m$ and $M$ separated by a distance $d$,if we place $M$ at the origin $(0,0)$ and $m$ at $(d,0)$,the center of mass is at $x = \frac{M(0) + m(d)}{M + m} = \frac{md}{M + m}$.Since $M > m$,the center of mass is closer to the heavier mass $M$. Therefore,the center of mass is located towards $M$.

When two masses $m$ and $M$ $(M > m)$ are connected,where will the center of mass be located?

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