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On a circular curve, the rate of superelevation is e. While negotiating the curve a vehicle comes to a stop. It is seen that the stopped vehicle does not slide inwards (in the radial direction). The coefficient of side friction is f. Which of the following is true:
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- e ≤ f
- f < e < 2f
- e > 2ƒ
- none of the above
Correct Option: A
Since stopped vehicle does not slide inside,
F ≥ w.sinq
F = P cosθ
P = w.f
where,
P = centrifugal force
ƒ = coeff of lateral friction
⇒ P.cosq ≥ w sin θ
wƒ. cosq ≥ w sin θ
f ≥ tan θ
⇒ ƒ ≥ e
⇒ e ≤ ƒ