A) \[\frac{\omega M}{M+m}\]
B) \[\frac{\omega (M-2M)}{M+2m}\]
C) \[\frac{\omega (M+2M)}{M}\]
D) \[\frac{\omega M}{M+2m}\]
Correct Answer: A
Solution :
\[{{v}_{cm}}=\frac{{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}}{{{m}_{1}}+{{m}_{2}}}\] \[=\frac{2\times (\hat{i})+4(\hat{i}+\hat{j})+4(\hat{j})}{2+4+4}\] \[=\frac{3}{5}\hat{i}+\frac{4}{5}\hat{j}\]
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