JCECE Medical JCECE Medical Solved Paper-2015

  • question_answer In the figure, the ball P is released from rest, when the spring is at its natural length. For the  block Q of mass \[2{{m}_{0}}\]to leave contact with ground at some stage, the minimum mass of P must be

    A)  \[{{m}_{0}}\]

    B) \[2{{m}_{0}}\]

    C)  \[{{m}_{0}}/2\]

    D)  \[{{m}_{0}}/4\]

    Correct Answer: A

    Solution :

     The block will experience maximum upward force, when the ball P is at its lowest position (x). Energy conservation gives            \[mgx=\frac{1}{2}k{{x}^{2}}\]or \[x=2mg/k\] ?(i) For the block Q to leave contact \[kx=2\,{{m}_{0}}g\] Solving Eqs. (i) and (ii), we get \[m=2{{m}_{0}}/2={{m}_{0}}\]

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