Vehicle behaviour on horizontal curves If the centrifugal force on a vehicle negotiating a horizontal curve exceeds the available lateral friction, the vehicle will most likely:

Difficulty: Easy

Correct Answer: skid

Explanation:


Introduction / Context:
On horizontal curves, lateral equilibrium is provided by a combination of superelevation and lateral friction between tire and pavement. When the required centripetal force exceeds what friction (and superelevation) can supply, loss of lateral control occurs.



Given Data / Assumptions:

  • Vehicle negotiates a curve of given radius at a given speed.
  • Lateral friction factor f represents peak available friction.
  • Superelevation may be present but is insufficient to balance demand.


Concept / Approach:
The demand is v^2 / r. The supply is g*(e + f) in normalized form, where e is superelevation (as a ratio) and f is friction factor. If v^2/(g r) > e + f, the pavement–tire interface cannot transmit the needed lateral force, leading to side slip or skid.



Step-by-Step Solution:

Compute demand ratio: v^2/(g r).Compute supply: e + f.If demand > supply → loss of lateral grip → skid.


Verification / Alternative check:
Design formula e + f = V^2/(225R) (with V in km/h, R in m) expresses the same balance; demand exceeding supply signals skidding risk.



Why Other Options Are Wrong:
“Slip” is a vague term; “not be affected/none” contradicts physics when demand exceeds resistance.



Common Pitfalls:
Ignoring wet pavement which lowers f; assuming e alone can compensate indefinitely; using improper units.



Final Answer:
skid

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