A 1200 kg automobile rounds a level curve of radius 200 m, on a unbanked road with a velocity of 72 km/hr. What is the minimum co-efficient of friction between the tyres and road in order that the automobile may not skid. (g = 10 m/s2)
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In a unbanked road, the centripetal force is provided by the frictional force.
So, F friction = mv^2/r But flimiting friction >F friction
or, μmg = F friction or μmg = mv2/r
So, μmin = v2/gr = (20×20)/(10×200) = 0.2.
The bank angle is the angle at which the vehicle is inclined about its longitudinal axis with respect to the plane of its curved path.
If the force of friction is not strong enough, the vehicle will skid.
even if there is very little force of friction the vehicle can still go round the curve with no tendency to skid.
Roads are banked because of the inertia of vehicles driving on the road.
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