A) \[\frac{m{{l}^{2}}}{12}\]
B) \[\frac{7}{48}m{{l}^{2}}\]
C) \[\frac{13}{48}m{{l}^{2}}\]
D) \[\frac{19}{48}m{{l}^{2}}\]
E) \[\frac{14}{48}m{{l}^{2}}\]
Correct Answer: B
Solution :
Moment of inertia of thin rod \[I=\frac{m{{l}^{2}}}{12}\] Distance of axis CD from AB\[=\frac{L}{4}\] From theorem of parallel axis, we have \[{{I}_{CD}}={{I}_{AB}}+M{{\left( \frac{l}{4} \right)}^{2}}\] \[=\frac{m{{l}^{2}}}{12}+\frac{m{{l}^{2}}}{16}\]You need to login to perform this action.
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