A) \[\frac{M{{L}^{2}}}{6}\]
B) \[\frac{M{{L}^{2}}}{12}\]
C) \[\frac{M{{L}^{2}}}{24}\]
D) \[\frac{M{{L}^{2}}}{32}\]
Correct Answer: B
Solution :
Moment of inertia of a uniform rod about one end \[=\,\,\,\frac{m{{l}^{2}}}{3}\] \[\therefore \] Moment of inertia of the system in which rod is bent \[=\,\,\,2\times \left( \frac{M}{2} \right)\frac{{{(L/2)}^{2}}}{3}\,\,=\,\,\frac{M{{L}^{2}}}{12}\] Note Here axis is perpendicular to the plane of the rod.You need to login to perform this action.
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