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

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.

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1 Answers

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.

 

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Sagar Singh

B.Tech, IIT Delhi

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