JEE Main & Advanced Physics Rotational Motion JEE PYQ-Rotational Motion

  • question_answer
    A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string)
                                                                                                             [JEE Main 11-Jan-2019 Evening]

    A)   \[10\text{ }rad/{{s}^{2}}\]         

    B)                    \[\text{20 }rad/{{s}^{2}}\]

    C)   \[\text{12 }rad/{{s}^{2}}\]         

    D)                    \[\text{16 }rad/{{s}^{2}}\]

    Correct Answer: D

    Solution :

    [d]                          …(i)
                                …(ii)
     
    From eqn (i) and (ii),


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