DUMET Medical DUMET Medical Solved Paper-2008

  • question_answer
    A cylinder is rolling down a inclined plane of inclination \[{{60}^{o}}\]. What is its acceleration?

    A)  \[g/\sqrt{3}\]           

    B)  \[g/\sqrt{3}\]

    C)  \[\sqrt{\frac{2g}{3}}\]              

    D)  None of these

    Correct Answer: B

    Solution :

     For cylinder, \[I=\frac{1}{2}M{{R}^{2}}\] =1 MR2 So, \[\frac{{{K}^{2}}}{{{R}^{2}}}=\frac{1}{2}\] So. acceleration \[a=\frac{g\,\sin \theta }{1+\frac{{{K}^{2}}}{{{R}^{2}}}}=\frac{g\,\sin \,{{60}^{o}}}{1+\frac{1}{2}}\] \[=\frac{g}{\sqrt{3}}\]


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