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in Rigid Body Dynamics by (49.6k points)
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Two particles of masses 5 g and 2 g respectively; have velocity \((\hat{i}+\hat{j}-\hat{k})\) and \((3 \hat{i}-2 \hat{j}+\hat{k})\) cm/s; and form a two particles system. What will be the velocity of the center of mass of the system?

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Given; m1 = 5g; m2 = 2g;
\(\overrightarrow{v_{1}}=(\hat{i}+\hat{j}-\hat{k})\) cm/s and \(\overrightarrow{v_{2}}=(3 \hat{i}-2 \hat{j}+\hat{k})\)\(\vec{v}_{\mathrm{cm}}\) =?
The velocity of center of mass,
\(\vec{v}_{\mathrm{cm}}=\frac{1}{M}\left(m_{1} \overrightarrow{v_{1}}+m_{2} \overrightarrow{v_{2}}\right)\)

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