Question

What do you mean by banking of roads? What is its need? Make a diagram and derive the expression of angle of banking when friction is negligible.​

Answer 1

Answer:

Banking of roads is defined as the phenomenon in which the edges are raised for the curved roads above the inner edge to provide the necessary centripetal force to the vehicles so that they take a safe turn.

The coefficient of friction between the wheels and the road is μ.

Banking of roads is needed to increase safety while taking a turn.

The angle at which the vehicle is inclined is defined as the bank angle.

To obtain an expression for the maximum speed first draw all the forces acting on a vehicle taking a turn on the banked road. Resolve all the forces in the horizontal and vertical components. Equate net force in vertical direction to 0 and horizontal force to F = ma = $\frac{mv^{2}}{r}$.

Diagram for Banking of Roads is given below ↓

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