A car round on unbanked curve of radius 92 m without skidding at a speed of 26 m s- 1 . The smallest possible coefficient of static friction between the tyres and the road is

Question

A car round on unbanked curve of radius 92 m without skidding at a speed of 26 m s- 1 . The smallest possible coefficient of static friction between the tyres and the road is (A) 0.75 (B) 0.60 (C) 0.45 (D) 0.30

Tardigrade Admin · Accepted Answer

fs≤ fs (max) Centripetal force is equal to maximum static friction (m v2/r)≤ μ mg μ ≥ (v2/r g) μ min=(v2/r g) (μ )min=((26)2/92 × 9 . 8) μ min=0.75

Q. A car round on unbanked curve of radius $92 m$ without skidding at a speed of $26 m s^{- 1}$ . The smallest possible coefficient of static friction between the tyres and the road is

$0.75$

$0.60$

$0.45$

$0.30$

$f_{s} \leq f_{s (ma x)}$
Centripetal force is equal to maximum static friction
$\frac{m v ^{2}}{r} \leq μ m g$
$μ \geq \frac{v ^{2}}{r g}$
$μ_{min} = \frac{v ^{2}}{r g}$
$(μ)_{min} = \frac{( 26 ) ^{2}}{92 \times 9.8}$
$μ_{min} = 0.75$

Q. A car round on unbanked curve of radius 92m without skidding at a speed of 26ms−1 . The smallest possible coefficient of static friction between the tyres and the road is

0.75

0.60

0.45

0.30