The frictional force is INDEPENDENT of area of contact

 

Part of the standard model of surface friction is the assumption that the frictional resistance force between two surfaces is independent of the area of contact.

While exceptions exist, the assumption has enough validity to be useful in many circumstances. For example, it implies that wide tires will not in general give better traction than narrow tires, and will not change the normal braking distance for a car. Better traction can be obtained with wide tires, or tires with lower pressure, if the pressure changes the coefficient of friction, as on a surface of snow.

 

SOURCE:http://hyperphysics.phy-astr.gsu.edu/hbase/frict3.html#are

yes friction is independent of area of contact it depends only upon coefficient of friction and angle of contact

 

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