A) \[\frac{2\omega M}{(M-2m)}\]
B) \[\frac{(M-2m)}{M}\]
C) \[\frac{\omega M}{(M+2m)}\]
D) \[\frac{2\omega M}{(M-2m)}\]
Correct Answer: C
Solution :
From the law of conservation of momentum \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] \[M{{r}^{2}}\omega =(M+2m){{r}^{2}}\omega \] Thus, \[\omega =\frac{\omega M}{M+2m}\]
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