NEET Physics NLM, Friction, Circular Motion NEET PYQ-NLM Friction Circular Motion

  • question_answer
    A car of mass m is moving on a level circular track of radius R. If \[{{\mu }_{s}},\] represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by   [AIPMT (M) 2012]

    A) \[\sqrt{{{\mu }_{s}}mRg}\]

    B) \[\sqrt{Rg/{{\mu }_{s}}}\]

    C) \[\sqrt{m\,Rg/{{\mu }_{s}}}\]

    D)  \[\sqrt{{{\mu }_{s}}Rg}\]

    Correct Answer: D

    Solution :

    In this condition, centripetal force is equal to static frictional force between road and tyres,
                So        \[{{\mu }_{s}}mg=\frac{m{{v}^{2}}}{R}\]
                            \[{{v}_{\max }}=\sqrt{{{\mu }_{s}}Rg}\]


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