A) \[\frac{M}{M+2m}\]
B) \[\frac{m}{2M}\]
C) \[\frac{m}{2M+M}\]
D) \[\frac{2M}{(2m+M)}\]
Correct Answer: A
Solution :
Applying the law of conservation of angular momentum, we have \[I\omega =I\omega \] .....(i) Here, \[I=M{{R}^{2}}\] \[I=(M+2m){{R}^{2}}\] Hence, putting the values of \[I\] and \[I\] in equation (i) we obtain \[M{{R}^{2}}\omega =(M+2m){{R}^{2}}\omega \] So, \[\frac{\omega }{\omega }=\frac{M}{M+2m}\]You need to login to perform this action.
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