MHT CET · Physics · Laws of Motion
A motor cyclist has to rotate in horizontal circles inside the cylindrical wall of inner radius ' R ' metre. If the coefficient of friction between the wall and the tyres is ' \(\mu_{\mathrm{s}}\) ', then the minimum speed required is ( \(\mathrm{g}=\) acceleration due to gravity)
- A \(\sqrt{\mu_{\mathrm{s}} \mathrm{Rg}}\)
- B \(\sqrt{\frac{\mathrm{Rg}}{\mu_{\mathrm{s}}}}\)
- C \(\sqrt{\frac{\mu_{\mathrm{s}}}{\mathrm{Rg}}}\)
- D \(\sqrt{\frac{\mathrm{R}^2 \mathrm{~g}}{\mu_{\mathrm{s}}}}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{\frac{\mathrm{Rg}}{\mu_{\mathrm{s}}}}\)
Step-by-step Solution
Detailed explanation
\(N = \frac{mv^2}{R}\) \(mg = \mu_{\mathrm{s}}N\)
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