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BVP Medical BVP Medical Solved Paper-2015

  • question_answer
    In the figure, a small block P is released from rest when the spring is at its natural length. For the disc Q, of mass \[Mgx\] to leave contact with the ground at same stage, the minimum mass of P must be                                                

    A)  \[\frac{Mgx}{2}\]                                           

    B)  \[\frac{Mgx}{3}\]

    C)                  \[\eta \]

    D)  function of \[2mg\,[1+{{(\eta /L)}^{2}}]\]and spring constant

    Correct Answer: C

    Solution :

                    (c.)To make Q, leave contact             \[kx={{M}_{0}}g\] \[\Rightarrow \] \[x=\frac{{{M}_{0}}g}{k}\] Before coming to rest P has to fall \[x=\frac{{{M}_{0}}g}{k}\]conserving energy, we have                                 \[mg\left( \frac{{{M}_{0}}g}{k} \right)=\frac{1}{2}k{{\left( \frac{{{M}_{0}}g}{k} \right)}^{2}}\]                 \[\Rightarrow \]               \[m=\frac{{{M}_{0}}}{2}\]


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