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JEE Main & Advanced Physics Rotational Motion Question Bank Self Evaluation Test - System of Particles 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 midpoint 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) \[{{I}_{0}}+M{{L}^{2}}/2\]

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

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

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

    Correct Answer: B

    Solution :

    [b] By theorem of parallel axes, \[I={{I}_{cm}}+M{{d}^{2}}\] \[I={{I}_{0}}+M{{(L/2)}^{2}}={{I}_{0}}+M{{L}^{2}}/4\]


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