Question

The maximum speed that can be achieved without skidding by a ar on circular unbanked road of radius R and coefficient of static friction $\mu$, is

• A. $\mu Rg$
• B. $Rg\sqrt{\mu }$
• C. $\mu \sqrt{Rg}$
• D. $\sqrt{\mu Rg}$

Answer 1

The correct option is D $\sqrt{\mu Rg}$

Given that,

Radius $=R$

Static friction $=\mu$

Now, the centripetal force is providing by frictional force between the road and tyre.

$\frac{m{v}^2}{R}=\mu mg$

$v=\sqrt{\mu Rg}$

Hence, this is the required solution