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
'For the sake of persons of ... different types, scientific truth should be presented in different forms, and should be regarded as equally scientific, whether it appears in the robust form and the vivid coloring of a physical illustration, or in the tenuity and paleness of a symbolic expression.'