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JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Self Evaluation Test - Laws of Motion

  • question_answer
    A small mass slides down a fixed inclined plane of inclination 6 with the horizontal. The coefficient of friction is \[\mu \text{ }=\text{ }{{\mu }_{0}}x\]Where \[x\] is the distance through which the mass slides down and \[{{\mu }_{0}}\] is a constant? Then he speed is maximum after the mass covers a distance of

    A) \[\frac{\cos \theta }{{{\mu }_{0}}}\]

    B) \[\frac{\sin \theta }{{{\mu }_{0}}}\]

    C) \[\frac{tan\theta }{{{\mu }_{0}}}\]

    D) \[\frac{2tan\theta }{{{\mu }_{0}}}\]

    Correct Answer: C

    Solution :

    [c] Acceleration of mass at distance x \[a=g(\sin \,\,\theta -{{\mu }_{0}}x\cos \,\,\theta )\] Speed is maximum, when \[a=0\] \[g\left( sin\,\theta -{{\mu }_{0}}\,x\,cos\,\theta  \right)=0\] \[x=\frac{\tan \,\theta }{{{\mu }_{0}}}\]


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