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

  • question_answer
    For the arrangement shown in the figure let a and T be the acceleration of the blocks and tension in the string respectively. The string and the pulley are frictionless and massless. Which of the graphs show the correct relationship between 'a' and T in the system in which sum of the two masses \[{{m}_{1}}\] and \[{{m}_{2}}\]is constant?      

    A)

    B)

    C)

    D)

    Correct Answer: B

    Solution :

    [b] \[\text{Let }{{\text{m}}_{1}}\text{+}{{\text{m}}_{2}}\text{+}{{\text{m}}_{3}}\text{=constant an}d\] \[{{m}_{1}}=x\Rightarrow {{m}_{2}}=m-x\] \[a=\frac{x-\left( m-x \right)}{m}g\]\[T=\frac{2x\left( m-x \right)}{m}g\Rightarrow T=\frac{m}{2g}\left( {{g}^{2}}-{{a}^{2}} \right)\]


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