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NEET Physics Rotational Motion NEET PYQ-Rotational Motion

  • 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                           [AIPMT (S) 2011]

    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.
    \[I={{I}_{CM}}+M{{h}^{2}}\]
    \[I={{I}_{0}}+M{{\left( \frac{L}{2} \right)}^{2}}\]
    \[I={{I}_{0}}+\frac{ML}{4}\]


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