A) \[\frac{\omega (M-2m)}{M+2m}\]
B) \[-\omega M-m\]
C) \[\frac{\omega (M+2m)}{M}\]
D) \[\frac{\omega M}{M+2m}\]
Correct Answer: D
Solution :
Using the conservation of angular momentum \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] Here \[{{\omega }_{1}}=\omega ,\] \[{{\omega }_{2}}=?\] \[\frac{M{{r}^{2}}\cdot \omega }{2}=\left( \frac{M+m+m}{2} \right){{r}^{2}}\omega \] So, \[{{\omega }_{2}}=\frac{M\omega }{M+2m}\]
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