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Q. A rigid body consists of a 3kg mass located, at $\bar r_1=(2\hat{i}+5\hat{J})m$ and a 2kg mass located, at $\bar r_2=(4\hat{i}+2\hat{J})m$ The position of center of mass is

Solution:

$\vec{r}_{c m}=\frac{m_{1} \vec{r}_{1}+m_{2} \vec{r}_{2}}{m_{1}+m_{2}}$