A car, moving at a speed of 54 kmph is to go round a curved road of radius 30 m. If the curved road is not banked, what must be the coefficient of friction between the tyres and the road for the car to negotiate the curve? (Take g = 10 ms–2)
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Given that =50km/h=125/9
m/s and R=50m
assume that mass of vehicle is m
as the diagram(FBD) shows, if vehicle driven on a curved unbanked road, the friction force towards the center balance out the centrifugal force, we get three equations from here
N=mg...(1)
f=μN...(2)
f=m
R
v
2
...(3)
putting the valur of N in eqn(2) and then putting the valur of f in eqn(3)
⇒μ=
Rg
v
2
=
50×10
(
9
125
)
2
=0.459
s
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