JEE Main & Advanced Sample Paper JEE Main Sample Paper-3

  • question_answer
    A gramophone record is revolving with an angular velocity \[\omega .\] A coin is placed at a distance r from the center of the record. The static coefficient of friction is \[\mu .\]The coin will revolve with the record if

    A)   \[r<\frac{\mu g}{{{\omega }^{2}}}\]only           

    B)  \[r>\frac{\mu g}{{{\omega }^{2}}}\]only

    C)  \[r=\frac{\mu g}{{{\omega }^{2}}}\]only             

    D)  \[r\le \frac{\mu g}{{{\omega }^{2}}}\]only

    Correct Answer: D

    Solution :

     \[\mu mg=\frac{m{{v}^{2}}}{r}=m\omega v\]or\[\mu g=r{{\omega }^{2}}\]or\[r\le \frac{\mu g}{{{\omega }^{2}}}\]


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