First slide

Banking of road

Question

A car is negotiating a curved road of mean radius R. The surface of the road is frictionless and it makes an angle $θ$ with horizontal. Then the necessary centripetal force is supplied by the

Easy

A

Normal reaction of the road
B

Weight of the car
C

horizontal component of the normal reaction of the road
D

vertical component of the normal reaction of the road

Solution

Weight of the car is vertical and normal reaction N is normal to the road surface is shown in figure. So horizontal component of N is the horizontal radially inward force acting on the car and it supplies the necessary centripetal force. Ncos $θ$ =mg and Nsin $θ$ = $\frac{m v^{2}}{r}$

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