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MHT CET 2023 (12 May, Shift 1) · Banking of Roads & Bridges

Banking of Roads & Bridges question from MHT CET 2023 (12 May, Shift 1)

Q11MHT CET 2023 · 12 MAY · SHIFT 1Easy

Banking of Roads & Bridges

A railway track is banked for a speed ',vv' by elevating outer rail by a height 'hh' above the inner rail. The distance between two rails is 'd' then the radius of curvature of track is ( g=g = gravitational acceleration)

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Answer: (a)

  1. Banking: tan⁡θ=v2rg\tan\theta = \frac{v^2}{rg}, and for small θ\theta, tan⁡θ≈hd\tan\theta \approx \frac{h}{d}.
  2. hd=v2rg⇒r=v2dgh\frac{h}{d} = \frac{v^2}{rg} \Rightarrow r = \frac{v^2 d}{gh}
  3. So the answer is (a).
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