Question

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

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

Answer 1

Answer: (D)

$\sqrt { \mu R g }$

Answer 2

In the given condition the required centripetal force is provided by frictional force between the road and tyre.

$\frac { m v ^ { 2 } } { R } = \mu m g$ $\therefore$ $v = \sqrt { \mu R g }$