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

  • question_answer
    The two blocks, \[m=10\text{ }kg\]and \[M=50\text{ }kg\]are free to move as shown. The coefficient of static friction between the blocks is 0.5 and there is no friction between M and the ground. A minimum horizontal force F is applied to hold m against M that is equal to

    A) 100 N

    B) 50 N

    C) 240 N

    D) 180 N

    Correct Answer: C

    Solution :

    [c]  As m would slip in vertically downward direction, then \[mg=\mu N\] \[\Rightarrow \,\,N=\frac{mg}{\mu }=\frac{100}{0.5}=200\,\,\operatorname{Newton}\] Same normal force would accelerated M, \[\operatorname{thus}\,\,{{a}_{M}}=\frac{200}{50}=4m/{{s}^{2}}\] Taking \[m+M\]as system \[F=(m+M)4=240\,N\]


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