Banking of Roads #!#Part1 #!#Maximum speed needed to safely negotiate a curve

Banking of roads at curve is necessary so as to avoid

Civil engineers bank a road to help a car negotiate a curve. While designing a road they usually ignore friction. However, a young engineer decided to include friction in his calculation while designing a road. The radius of curvature of the road is R and the coefficient of friction between the tire and the road is mu . (a) What should be the banking angle (theta_(0)) so that car travelling up to a maximum speed V_(0) can negotiate the curve. (b) At what speed (V_(1)) shall a car travel on a road banked at theta_(0) so that there is no tendency to skid. (No tendency to skid means there is no static friction force action on the car). (c) The driver of a car travelling at speed (V_(1)) starts retarding (by applying brakes). What angle (acute, obtuse or right angle) does the resultant friction force on the car make with the direction of motion?

An automobile moving with a speed of 10m//s enters an unbanked curve of radius r=50m .If g=10m//s , the maximum valve of mu so as to safety negotiate the curve is 1//x .Then x=

Maximum safe speed does not depended upon,

For a car not to turn safely on a curved road

The radius of curbature of a road is 60 m. if the angle of banking is 27^(@) find the maximum speed with which a vehicle can turn safely along this curve.

What will be the maximum speed of a car when it safely driven along a curved road of radius 100 m ? (mu=0.2)

On a dry road the maximum safe speed for a vehicle moving on a curved raod is 30 km/ hour , After heavy showers , the maximum safe speed for the same raod was 18 km/ hour . The ratio of the coefficient of friction for the dry road to that of wett road is