A) \[\frac{\omega M}{M+2m}\]
B) \[\frac{\omega (M+2m)}{m}\]
C) \[\frac{\omega (M-2m}{m=2m}\]
D) \[\frac{\omega M}{M=m}\]
Correct Answer: A
Solution :
Angular momentum \[J=pr\] \[J=m\upsilon \times r\] ????(1) Put \[\upsilon =r\omega \](D in equation (1) \[J=m{{r}^{2}}\omega \] Now, by conservation of angular momentum Initial angular momentum = final angular momentum \[M{{r}^{2}}\omega =M{{r}^{2}}\omega +m{{r}^{2}}\omega +m{{r}^{2}}\omega \] \[\omega =\frac{M\omega }{(M+2m)}\]You need to login to perform this action.
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