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

  • question_answer
    A body of mass \[2kg\] slides down with an acceleration of \[3m/{{s}^{2}}\] on a rough inclined plane having a slope of \[30{}^\circ \]. The external force required to take the same body up the plane with the same acceleration will be:\[(g=10m/{{s}^{2}})\][JEE Online 15-04-2018 (II)]

    A) \[4N\]

    B) \[14N\]

    C) \[6N\]

    D) \[20N\]

    Correct Answer: D

    Solution :

    [d] Equation of motion when the mass slides down
    \[Mg\sin \Theta -f=Ma\]
    \[10-f=6\]
    \[f=4N\]
    Equation of motion when the block is pushed up
    Let the external force be\[F\]
    \[F-Mg\sin \Theta -f=Ma\]
    \[F-10-4=6\]
    \[F=20N\]


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