JEE Main & Advanced Physics Rotational Motion Question Bank Mock Test - Dynamics of Rigid Body

  • question_answer
    A body is rolling without slipping on a horizontal plane. The rotational energy of the body is 40% of the total kinetic energy. Identify the body.

    A) Ring                 

    B) Hollow cylinder

    C) Solid cylinder   

    D) Hollow sphere

    Correct Answer: D

    Solution :

    [d]  \[\frac{\frac{1}{2}I{{\omega }^{2}}}{\frac{1}{2}M{{v}^{2}}}=\frac{40}{60}=\frac{2}{3}\]or \[\frac{\frac{I{{v}^{2}}}{{{R}^{2}}}}{M{{v}^{2}}}=\frac{2}{3}\]or \[I=\frac{2}{3}M{{R}^{2}}\] Clearly, the body is a hollow sphere.


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