JEE Main & Advanced Physics NLM, Friction, Circular Motion JEE PYQ - NLM Friction Circular Motion

  • question_answer
    The minimum velocity (in \[m{{s}^{-1}}\]) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction \[0.6\] to avoid skidding is                                 [AIEEE 2002]

    A) 60

    B) 30

    C) 15

    D) 25

    Correct Answer: B

    Solution :

    [b] To move a body on a circular path, centripetal force is necessary. In this question, there is an agent, friction that will provide the required centripetal force to the car.
                Using the relation \[\frac{m{{v}^{2}}}{r}=\mu R,R=mg\]
                            \[\frac{m{{v}^{2}}}{r}=\mu mg\]
                or         \[{{v}^{2}}=0.6\times 150\times 10\]
                or           \[v=30\,m/s\]

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