Experiment also, however, gives a result which, at least at first view,
might not have been anticipated from the mode of illustration we have
adopted. It is found that the resistance arising from friction does not
at all depend on the magnitude of the surface of contact; but provided
the nature of the surfaces and the amount of pressure remain the same,
this resistance will be equal, whether the surfaces which move one upon
the other be great or small. Thus, if the moving body be a flat block
of wood, the face of which is equal to a square foot in magnitude, and
the edge of which does not exceed a square inch, it will be subject to
the same amount of friction, whether it move upon its broad face or
upon its narrow edge. If we consider the effect of the pressure in each
case, we shall be able to perceive why this must be the case. Let us
suppose the weight of the block to be 144 ounces. When it rests upon
its face, a pressure to this amount acts upon a surface of 144 square
inches, so that a pressure of one ounce acts upon each square inch. The
total resistance arising from friction will, therefore, be 144 times
that resistance which would be produced by a surface of one square inch
under a pressure of one ounce. Now, suppose the block placed upon its
edge, there is then a pressure of 144 ounces upon a surface equal to
one square inch. But it has been already shown, that when the surface
is the same, the friction must increase in proportion to the pressure.
Hence we infer that the friction produced in the present case is 144
times the friction which would be produced by a pressure of one ounce
acting on one square inch of surface, which is the same resistance as
that which the body was proved to be subject to when resting on its
face.
These two laws, that friction is independent of the magnitude of the
surface, and is proportional to the pressure when the quality of the
surfaces is the same, are useful in practice, and _generally_ true. In
very extreme cases they are, however, in error. When the pressure is
very intense, in proportion to the surface, the friction is somewhat
_less_ than it would be by these laws; and when it is very small in
proportion to the surface, it is somewhat _greater_.
(323.) There are two methods of establishing by experiment the laws of
friction, which have been just explained.
Public-domain text, read in full here on John Shaqi.
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