A motorcyclist rides in a horizontal circle about central vertical axis inside a cylindrical chamber of…

A motorcyclist rides in a horizontal circle about central vertical axis inside a cylindrical chamber of radius 'r'. If the coefficient of friction between the tyres and the inner surface of chamber is ' $\mu$ ', the minimum speed of motorcyclist to prevent him from skidding is $\left({ }^{\prime} \mathrm{g}^{\prime}=\right.$ acceleration due to gravity $)$
  1. $\sqrt{\frac{\mu g}{r}}$
  2. $\sqrt{\frac{r \mu}{g}}$
  3. $\sqrt{\frac{g}{r \mu}}$
  4. $\sqrt{\frac{r g}{\mu}}$

Solution

A motorcyclist rides in a horizontal circle about central vertical axis inside a cylindrical chamber of radius ' \(r\) '. If the coefficient of friction between the tyres and the inner surface of chamber is ' \(\mu\) ', the minimum speed of motorcyclist to prevent him from skidding is \(\sqrt{\frac{r g}{\mu}}\).

Asked in: MHT CET 2020 (19 Oct Shift 1)

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