JEE Main & Advanced Physics Rotational Motion Question Bank Self Evaluation Test - System of Particles Rotational Motion

  • question_answer
    A wheel having angular momentum \[2\pi \,kg-{{m}^{2}}/s\]about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel's rotation in 30 sec would be

    A) \[\frac{\pi }{18}Nm\]

    B) \[\frac{2\pi }{15}Nm\]

    C) \[\frac{\pi }{12}Nm\]

    D) \[\frac{\pi }{15}Nm\]     

    Correct Answer: D

    Solution :

    [d] \[\tau \times \Delta t={{L}_{0}}\]             \[\{\because \,\,\,\sin ce\,{{L}_{f}}=0\}\] \[or\,\,\,\,\,\,\tau \times 30=2\pi \] \[\tau =\frac{\pi }{15}N-m\]


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