A) \[\frac{8}{5}m{{r}^{2}}\]
B) \[\frac{8}{5}m{{r}^{2}}+m{{a}^{2}}\]
C) \[\frac{8}{5}m{{r}^{2}}+2m{{a}^{2}}\]
D) \[\frac{4}{5}m{{r}^{2}}+4m{{a}^{2}}\]
Correct Answer: C
Solution :
Moment of inertia of the system \[{{I}_{AB}}={{I}_{A{{B}_{1}}}}+{{I}_{A{{B}_{2}}}}+{{I}_{A{{B}_{3}}}}+{{I}_{A{{B}_{4}}}}\] \[=\frac{2}{5}m{{r}^{2}}+\frac{2}{5}m{{r}^{2}}+\left( \frac{2}{5}m{{r}^{2}}+m{{a}^{2}} \right)\] \[+\left( \frac{2}{5}m{{r}^{2}}+m{{a}^{2}} \right)\] \[=\frac{8}{5}m{{r}^{2}}+2m{{a}^{2}}\]You need to login to perform this action.
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