Question

A curved section of a rod is banked for a speed $v$. If there is no friction between road and tyres of the car, then:

• A. car is more likely to slip at speeds higher than $v$ than speeds lower than $v$
• B. car cannot remain in static equilibrium on the curved section
• C. car will not slip when moving with speed $v$
• D. None of the above

Answer 1

The correct option is C car will not slip when moving with speed $v$

as the diagram shows if there is no friction,

$mg\sin \theta \le m\frac{v^2}{R}\cos \theta$

$\Rightarrow v\ge \sqrt{rg\tan \theta }$

so at this velocity the car will not slip.