A) \[\frac{11}{5}m{{r}^{2}}\]
B) \[3\,m{{r}^{2}}\]
C) \[\frac{16}{5}m{{r}^{2}}\]
D) \[4\,m{{r}^{2}}\]
Correct Answer: D
Solution :
The total moment of inertia of the system is \[I={{I}_{1}}+{{I}_{2}}+{{I}_{3}}\] ?(i) Hero \[{{I}_{1}}=\frac{2}{3}m{{r}^{2}}\] \[{{I}_{2}}={{I}_{3}}=\frac{2}{3}\,m{{r}^{2}}+m{{r}^{2}}\](From parallel axis theorem] \[=\frac{5}{3}m{{r}^{2}}\] From Eq. (i), \[I=\frac{2}{3}m{{r}^{2}}+2\times \frac{5}{3}m{{r}^{2}}=m{{r}^{2}}\left( \frac{2}{3}+\frac{10}{3} \right)\] \[I=4m{{r}^{2}}\]You need to login to perform this action.
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