Question

An automobile is turning around a circular road of radius, $r$. The coefficient of friction between the tyres and the road is $\mu$. The velocity of the vehicle should not be more than

• A. $\sqrt{\frac{\mu g}{r}}$
• B. $\sqrt{\mu rg}$
• C. $\mu rg$
• D. $\mu g/r$

Answer 1

The correct option is B $\sqrt{\mu rg}$

The car will not skid if the centrifugal force on the particle is less then or equal to the static frictional force, i.e.,
$\frac{m{v}^2}{r}\le \mu mg\Rightarrow v\le \sqrt{\mu rg}$