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shilpa luthra Grade:

bankimg of roads

problems related to pulley

8 years ago

Answers : (1)

879 Points

Dear shilpa,

Banking of Roads:

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:

To avoid friction outer part of road is some what lifted compared to the inner part.

  Fig (29)

From figure (29) NSin =  and NCos = mg

 From this we get, Tan =

At two speeds car does not slide down even if track is smooth.


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Sagar Singh

B.Tech, IIT Delhi

7 years ago
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