A) \[\frac{(M+2m)\omega }{2m}\]
B) \[\frac{(M+2m)\omega }{2m}\]
C) \[\frac{(M+2m)\omega }{M}\]
D) \[\frac{M\omega }{M+2m}\]
Correct Answer: D
Solution :
| In the absence of external torque, angular momentum remain constant |
| \[L=I\omega =I'\omega '\] |
| \[\therefore \] \[M{{R}^{2}}\omega =(M+2m){{R}^{2}}\omega '\] |
| \[\omega '=\frac{M\omega }{(M+2m)}\] |
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