Question

1) Derived the necessary expression for maximum possible speed of vehicle on banked curved road?​

Answer 1

Answer:

Banking of roads : To avoid risk of skidding as well as to reduce the wear and tear of the car tyres, the road surface at a bend is tilted inwards, i.e., the outer side of road is raised above its inner side. This is called 'banking of roads'.

Consider a car taking a left turn along a road of radius r banked at an angle θ for a designed optimum speed V. Let m be the mass of the car. In general, the forces acting on the car are:

(a) Its weight

mg

, acting vertically down

(b) The normal reaction of the road

N

, perpendicular to the road surface

(c) The frictional force

f

s

along the inclined surface of the road.