JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Motion of Connected Bodies

  • question_answer
    A 2 kg block is lying on a smooth table which is connected by a body of mass 1 kg by a string which passes through a pulley. The 1 kg mass is hanging vertically. The acceleration of block and tension in the string will be             [RPMT 1997]

    A)                         \[3.27\,m/{{s}^{2}},\,6.54\,N\]                    

    B)                         \[4.38\,m/{{s}^{2}},\,6.54\,N\]            

    C)                         \[3.27\,m/{{s}^{2}},\,9.86\,N\]                    

    D)                         \[4.38\,m/{{s}^{2}},\,9.86\,N\]

    Correct Answer: A

    Solution :

                                Acceleration\[=\frac{{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}\times g\] \[=\frac{1}{2+1}\times 9.8=3.27\ m/{{s}^{2}}\]             and \[T={{m}_{1}}a=2\times 3.27=6.54\ N\]          


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