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MHT CET 2025 (22 Apr, Shift 2) · Banking of Roads & Bridges

Banking of Roads & Bridges question from MHT CET 2025 (22 Apr, Shift 2)

Q6MHT CET 2025 · 22 APR · SHIFT 2Medium

Banking of Roads & Bridges

A car is driven on the banked road of radius of curvature 20 m with maximum safe speed. In order to increase its safety speed by 20%20\%, without changing the angle of banking, the increase in the radius of curvature will be [Assume friction is same on the road]

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Answer: (c)

  1. For fixed banking angle and friction, vmax2=rgμ+tan⁡θ1−μtan⁡θ∝rv_{max}^2 = rg\frac{\mu + \tan\theta}{1 - \mu\tan\theta} \propto r.
  2. r′r=(1.2)2=1.44⇒r′=1.44×20=28.8\frac{r'}{r} = (1.2)^2 = 1.44 \Rightarrow r' = 1.44 \times 20 = 28.8 m
  3. Increase =28.8−20=8.8= 28.8 - 20 = 8.8 m
  4. So the answer is (c) 8.8 m.
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