When a car moves on a curved level road, the centripetal force needed to keep the car in motion around the curve is given by the friction between the road and the tyres. The weight of the car is loaded by the normal reaction due to the earth. If the surface of the road is very hard, it gives a large amount of friction and hence the car can successfully negotiate the bend with a fairly high speed. If F is the net frictional force between the road and the tyres, then,
When m is the mass of the car, its speed around the curve and R is the radius of the curved surface. The higher the value of F, the faster is the speed at which the bend can be negotiated. If is the coefficient of friction between the road and the, then F≤μN; N = normal reaction = mg. The maximum speed which friction can sustain is
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