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BCECE Engineering BCECE Engineering Solved Paper-2002

  • question_answer
    A motor cycle is travelling on a curved track of radius 500 m. If the coefficient of friction between tyres and road is 0.5 with \[g=10\,m/{{s}^{2}},\] what should be the maximum speed to avoid skidding?

    A)  10 m/s                

    B)         50 m/s

    C)  250 m/s              

    D)         500m/s

    Correct Answer: B

    Solution :

    Key Idea: Frictional force provides the necessary centripetal force to the motor cycle to avoid skidding. Frictional force = centripetal force                 i.e.,        \[\mu R=\frac{m{{v}^{2}}}{r}\] but\[R=\] normal reaction \[=\text{ }mg\]                 \[\therefore \]  \[\mu mg=\frac{m{{v}^{2}}}{r}\] Hence, maximum speed                                 \[{{v}_{\max }}=\sqrt{\mu rg}\]                 Given, \[\mu =0.5,\,\,r=500m,\,g=10\,m/{{s}^{2}}\]                                 \[{{v}_{\max }}=\sqrt{0.5\times 500\times 10}\]                                 \[=\sqrt{5\times 500}\]                                 \[=50\,m/s\]


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