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NEET Physics Rotational Motion NEET PYQ-Rotational Motion

  • question_answer
    A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy \[\text{(}{{\text{K}}_{\text{t}}}\text{)}\] as well as rotational kinetic energy \[\text{(}{{\text{K}}_{\text{r}}}\text{)}\] simultaneously. The ratio\[{{\text{K}}_{\text{t}}}\text{:(}{{\text{K}}_{\text{t}}}\text{+}{{\text{K}}_{\text{r}}}\text{)}\] for the sphere is                              [NEET - 2018]

    A) 10 : 7

    B) 5 : 7

    C) 7 : 10

    D) (4) 2 : 5

    Correct Answer: B

    Solution :

    [b] \[{{\text{K}}_{\text{t}}}\text{=}\frac{\text{1}}{\text{2}}\text{m}{{\text{v}}^{\text{2}}}\]
    \[{{\text{K}}_{\text{t}}}\text{+}{{\text{K}}_{\text{r}}}\text{=}\frac{1}{2}m{{v}^{2}}+\frac{1}{2}|{{\omega }^{2}}=\frac{1}{2}m{{v}^{2}}+\frac{1}{2}\left( \frac{2}{5}m{{r}^{2}} \right){{\left( \frac{v}{r} \right)}^{2}}\]
    \[=\frac{7}{10}m{{v}^{2}}\]
    So, \[\]


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