The curved horizontal road is banked at an angle alpha. What will happen for vehicle moving along this road if (a) theta < alpha(b) theta > alpha ? Where theta is angle of banking for the given road.Thank You.

SAGAR SINGH - IIT DELHI
879 Points
12 years ago

Dear student,

When vehicle go through turnings, they travel along a nearly circular arc. There must be some force to produce the required centripetal acceleration. Centripetal force is provided to the vehicle by following three ways.

• By friction only

• By banking of roads only

• By friction and banking of roads both.

1) By friction:

Let a car of mass m is moving at a speed v is at horizontal circular arc of radius r.

And fL= limiting value of f = N = mg      (N=mg)
For a safe turn without sliding,

So if m and r is fixed the speed of the vehicle should not exceed and if v and r is fixed then coefficient of friction should be greater than
2) By banking of roads only.

All the best.

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