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MHT CET 2025 (23 Apr, Shift 2) · Level Road & Rotating Platform

Level Road & Rotating Platform question from MHT CET 2025 (23 Apr, Shift 2)

Q4MHT CET 2025 · 23 APR · SHIFT 2Medium

Level Road & Rotating Platform

A motor cyclist has to rotate in horizontal circles inside the cylindrical wall of inner radius ' RR ' metre. If the coefficient of friction between the wall and the tyres is ' μs\mu_s ', then the minimum speed required is ( g=g = acceleration due to gravity)

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Answer: (b)

  1. Wall's normal force gives the centripetal force: N=mv2RN = \frac{mv^2}{R}.
  2. Friction must balance weight: μsN≥mg⇒μsmv2R≥mg\mu_s N \ge mg \Rightarrow \mu_s\frac{mv^2}{R} \ge mg.
  3. vmin=Rgμsv_{min} = \sqrt{\frac{Rg}{\mu_s}}
  4. So the answer is (b).
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