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NEET 2018 · Rolling Motion

Rolling Motion question from NEET 2018

Q73NEET 2018Easy

Rolling Motion

A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (Kt) as well as rotational kinetic energy (Kr) simultaneously. The ratio Kt: (Kt + Kr) for the sphere is

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Answer: (b)

  1. Solid sphere: Kt=12mv2K_t = \frac{1}{2}mv^2, Kr=15mv2K_r = \frac{1}{5}mv^2.
  2. Kt+Kr=710mv2K_t + K_r = \frac{7}{10}mv^2
  3. KtKt+Kr=1/27/10=57\frac{K_t}{K_t + K_r} = \frac{1/2}{7/10} = \frac{5}{7}
  4. So the answer is (b) 5 : 7.
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