what is the use of banked roads ? how does static friction provide centripetal force in banked roads during circular motion?
MIT 8.01 Physics I Classical Mechanics, Fall 1999
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Banked roads are used so that we aren't relying on friction to provide the centripetal force during circular motion. By banking the road we create a component to the normal force which points towards the center of the circle, acting as the centripetal force. As long as the component of the normal force towards the center is large enough to provide the centripetal acceleration we don't need friction to take this turn. If it isn't large enough, friction will make up the difference until it too is exceeded (at which point the car will go skidding and won't negotiate the turn).
by the banking of roads we can turn our vehicle with greater speed than on an unbanked road.
for another part lets take an example, if we try to turn left then via inertia we feel a push toward right direction. similarly when we try to turn our vehicle to turn left then via inertia there is a force acting toward right on the vehicle. This force toward right is caused by static friction. Since on turn there is a circular motion so there is a centripetal force. If the frictional force is greater than the centripetal force the vehicle will go off the road.