Although a larger area of contact between two surfaces
would create a larger source of frictional forces, it
also reduces the pressure between the two surfaces for
a given force holding them together. Since pressure
equals force divided by the area of contact, it
works out that the increase in friction generating area
is exactly offset by the reduction in pressure; the
resulting frictional forces, then, are dependent only on
the frictional coefficient of the materials and the
FORCE holding them together.
If you were to increase the force as you increased the
area to keep PRESSURE the same, then increasing the
area WOULD increase the frictional force between the
two surfaces.
Answered by: Paul Walorski, B.A. Physics, Part-time Physics Instructor
'In a way science is a key to the gates of heaven, and the same key opens the gates of hell, and we do not have any instructions as to which is which gate.
Shall we throw away the key and never have a way to enter the gates of heaven? Or shall we struggle with the problem of which is the best way to use the key?'