JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Oscillations

  • question_answer
    A block rests on a horizontal table which is executing SHM in the horizontal plane with an amplitude 'a'. If the coefficient of friction is \['\mu '\], then the block just starts to slip when the frequency of oscillation is

    A) \[\frac{1}{2\pi }\sqrt{\frac{\mu g}{a}}\]

    B) \[\sqrt{\frac{\mu g}{a}}\]

    C) \[2\pi \sqrt{\frac{a}{\mu g}}\]    

    D) \[\sqrt{\frac{a}{\mu g}}\]

    Correct Answer: A

    Solution :

    [a] For the block is about to slip, \[\mu g={{\omega }^{2}}a\] \[\omega =\sqrt{\frac{\mu g}{a}}\Rightarrow v=\frac{1}{2\pi }\sqrt{\frac{\mu g}{a}}\]      


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