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NEET Sample Paper NEET Sample Test Paper-66

  • question_answer
    A block P of mass w is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure, fly is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is

    A) kA                               

    B) \[kA/2\]

    C) zero                              

    D) \[{{\mu }_{s}}mg\]

    Correct Answer: B

    Solution :

    When two blocks performs simple harmonic motion together then at the extreme position (at amplitude = A) Restoring force \[F=KA=2\,ma\,\,\Rightarrow \,\,\,a=\,\frac{KA}{2m}\] There will be no relative motion between P and if pseudo force on block P is less than or just equal to limiting friction between P and Q. \[i.e.\,\,\,m\left( \frac{KA}{2m} \right)\,\,=\,\,Limiting\,\,friction\] \[\therefore \,\,\,Maximum\,\,friction\,\,=\,\,\frac{KA}{2}\]


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