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

  • question_answer
    A block of mass m = 2 kg is placed on a plank of mass \[M=10\text{ }kg\]which is placed on a smooth horizontal plane. The coefficient of friction between the block and the plank is\[\mu =\frac{1}{3}\]. If a horizontal force F is applied on the plank, then find the maximum value of F for which the block and the plank move together. (Take \[g=10\text{ }m/{{s}^{2}}\])

    A) 30 N  

    B) 40 N

    C) 120 N             

    D) None of the above

    Correct Answer: A

    Solution :

    [a] For no slipping between m and At, \[F\le \left( M+w \right)g/3\] \[F\le 40\,N\] For no toppling of m block \[F\le \left( M+m \right)g/4\] \[F\le 30N\] \[\therefore \,{{F}_{min}}=30N\]


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