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NEET Sample Paper NEET Sample Test Paper-77

  • question_answer
    A thin rod of length L and mass M is bent at the middle point O at an angle \[60{}^\circ \]. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

    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.


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