First slide

Banking of road

Question

An automobile enters a turn of radius R. If the road is banked at an angle of 45⁰ and the coefficient of friction is 1, the minimum speed with which the automobile can negotiate the turn without skidding is

Easy

A

$\sqrt{\frac{r g}{2}}$
B

$\frac{\sqrt{r g}}{2}$
C

$\sqrt{r g}$
D

zero

Solution

$μ = \tan θ = \frac{v^{2}}{r g}$
v = $\sqrt{g r}$ $∵ θ = 45^{0}$

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