Physics - NLM Question with Solution | TestHub

For a motorcyclist moving in a horizontal circle inside a cylindrical wall, the normal reaction $N$ provides the necessary centripetal force.

$N=\frac{m{v}^2}{R}$

The frictional force $f$ acts upwards to balance the weight $mg$ of the motorcyclist.

$f=mg$

To prevent sliding down, the frictional force must be less than or equal to the maximum static friction.

$f\le {\mu }_{s}N$

$mg\le {\mu }_s\left(\frac{m{v}^2}{R}\right)$

$v^2\ge \frac{Rg}{{\mu }_s}$

The minimum speed required is given by:

$v_{\text{min}}=\sqrt{\frac{Rg}{{\mu }_s}}$

Answer: $\sqrt{\frac{\mathrm{Rg}}{{\mu }_{\mathrm{s}}}}$