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CMC Medical CMC-Medical Ludhiana Solved Paper-2007

  • question_answer
    A spherical ball rolls on a table without slipping. Then, the fraction of its total kinetic energy associated with rotation is

    A)  \[\frac{2}{5}\]                                  

    B)  \[\frac{2}{7}\]

    C)  \[\frac{5}{7}\]                                  

    D)  \[\frac{3}{5}\]

    Correct Answer: C

    Solution :

                    Fraction of total energy of a rolling body which is associated with rotation is \[\frac{{{K}^{2}}}{{{R}^{2}}+{{K}^{2}}}\] Also       \[{{K}^{2}}=\frac{2}{5}{{R}^{2}}\] \[\Rightarrow \]               \[{{f}_{rotational}}=\frac{2}{7}\]


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