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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Physics
Chapter
Rotational Motion

BITSAT 2020 · Physics · Rotational Motion

A solid cylinder and a hollow cylinder both of the same mass and...

A solid cylinder and a hollow cylinder both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Options

  1. ASolid cylinder
  2. BBoth together
  3. COne with higher density
  4. DHollow cylinder

Correct answer

A. Solid cylinder

Step-by-step solution

Solid cylinder reaches the bottom first because for solid cylinder K2R2=12\frac{\mathrm{K}^{2}}{\mathrm{R}^{2}}=\frac{1}{2} and for hollow cylinder, K2R2=1\frac{\mathrm{K}^{2}}{\mathrm{R}^{2}}=1. Acceleration down the inclined plane ∝11+K2/R2.\propto \frac{1}{1+K^{2} / R^{2}}. Solid cylinder has greater acceleration. It reaches the bottom first.
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