Friction- related to banking of road

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The discussion centers on the banking of a road turn with a radius of 20m designed for vehicles traveling at 10 m/s without friction. It highlights the relationship between banking angle and speed, noting that the angle allows for safe navigation at that speed without relying on friction. When friction is introduced, the minimum speed for safe turning is calculated using specific equations. The confusion arises regarding the concept of avoiding friction while still considering its effects in calculations. Understanding the banking angle is crucial for determining vehicle dynamics in both frictionless and friction-influenced scenarios.
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Homework Statement



a turn of radius 20m is banked for vehicles going at a speed of 10 m/s ( considering no friction). If the friction co-efficient between road and tyre is 0.3, then the minimum speed of the vehicle is 5x/(11.5)^1/2.


Homework Equations



in case of banking and no friction

tan A= v^2/rg

in case of banking and friction both,

v=[rg(u + tan A)/(1 - u tanA)]^1/2



The Attempt at a Solution





well,
i did not actually understand what the first statement means because if there is friction, then how can one avoid it?
 
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paulrishav93 said:
a turn of radius 20m is banked for vehicles going at a speed of 10 m/s ( considering no friction).
This means that the banking angle of the road is just right so that a vehicle moving at 10 m/s requires no friction to make the turn. (Figure out the angle.)
 

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