A car goes on a horizontal circular road of radius R, the speed increasing at a constant rate The friction coefficient between the road and the tyre is μ. Find the speed at which the car will skid.


The body is experiencing a force in the tangential direction as there exists some an acceleration a along this direction.


The friction force will be,



The normal reaction force will be mg as there is no motion in vertical direction.



As the path is circular the body will also experience centrifugal force in the radial direction.



Magnitude of the tangential force will be,




The car will skid when the friction will not be enough to reinforce Fa+Fc.


So, the condition for just skidding will be,








If this velocity exceeds then the car will skid.


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