Question:

For a hollow cylinder and a solid cylinder rolling without slipping on an inclined plane, then which of these reaches earlier

Updated On: May 25, 2022
  • solid cylinder
  • hollow cylinder
  • both simultaneously
  • can't say anything
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The Correct Option is A

Solution and Explanation

Solid sphere reaches the bottom first because for solid cylinder$\frac{K^2}{R^2}=\frac{1}{2},$
and for hollow cylinder$\frac{K^2}{R^2}=1$.
Acceleration down the inclined plane $∝ \frac{1}{K^2/R^2}$.
Solid cylinder has greater acceleration, so it reaches the bottom first.
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