NEET Sample Paper NEET Sample Test Paper-39

  • question_answer The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is\[{{I}_{0}}.\]Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

    A) \[{{I}_{0}}+M{{L}^{2}}/4\]

    B) \[{{I}_{0}}+2M{{L}^{2}}\]

    C) \[{{I}_{0}}+M{{L}^{2}}\]

    D) \[{{I}_{0}}+M{{L}^{2}}/2\] 

    Correct Answer: A

    Solution :

    The theorem of parallel axis for moment of inertia \[I={{I}_{CM}}+M{{h}^{2}}\] \[I={{I}_{0}}+M{{\left( \frac{L}{2} \right)}^{2}}\] \[={{I}_{0}}+\frac{M{{L}^{2}}}{4}\]

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