DUMET Medical DUMET Medical Solved Paper-2008

  • question_answer
    A body is rolling down an inclined plane. If KE of rotation is 40% of KE in translatory state, then the body is a

    A)  ring             

    B)  cylinder

    C)  hollow ball      

    D)  solid ball

    Correct Answer: D

    Solution :

      \[\frac{1}{2}m{{v}^{2}}\left( \frac{{{K}^{2}}}{{{R}^{2}}} \right)=40%.\frac{1}{2}m{{v}^{2}}\] \[\Rightarrow \] \[\frac{{{K}^{2}}}{{{R}^{2}}}=\frac{40}{100}=\frac{2}{5}\] This will imply, \[I=\frac{2}{5}M{{R}^{2}}\] Thus, the body is a solid sphere (solid ball).


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