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`        IF BANKING OF ROAD IS THETA R IS THE RADIUS AND U IS THE COEFF OF FRICTION THEN FIND THE RANGE OF SPEED FOR SAFE DRIVING ON IT.`
6 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										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 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.

All the best.
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Sagar Singh
B.Tech, IIT Delhi

```
6 years ago
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