When the surfaces are first placed in contact, the friction is less
than when they are suffered to rest so for some time; this is proved
by observing the force which in each case is necessary to move the one
upon the other, that force being less if applied at the first moment
of contact than when the contact has continued. This, however, has a
limit. There is a certain time, different in different substances,
within which this resistance attains its greatest amount. In surfaces
of wood this takes place in about two minutes; in metals the time
is imperceptibly short; and when a surface of wood is placed upon a
surface of metal, it continues to increase for several days. The limit
is larger when the surfaces are great, and belong to substances of
different kinds.
The velocity with which the surfaces move upon one another produces but
little effect upon the friction.
(326.) There are several ways in which bodies may move one upon the
other, in which friction will produce different effects. The principal
of these are, first, the case where one body _slides_ over another; the
second, where a body having a round form _rolls_ upon another; and,
_thirdly_, where an axis revolves within a hollow cylinder, or the
hollow cylinder revolves upon the axis.
With the same amount of pressure and a like quality of surface, the
quantity of friction is greatest in the first case and least in the
second. The friction in the second case also depends on the diameter
of the body which rolls, and is small in proportion as that diameter
is great. Thus a carriage with large wheels is less impeded by the
friction of the road than one with small wheels.
In the third case, the leverage of the wheel aids the power in
overcoming the friction. Let _fig. 178._ represent a section of
the wheel and axle; let C be the centre of the axle, and let B E
be the hollow cylinder in the nave of the wheel in which the axle is
inserted. If B be the part on which the axle presses, and the wheel
turn in the direction N D M, the friction will act at B in
the direction B F, and with the leverage B C. The power acts
against this at D in the direction D A, and with the leverage
D C. It is therefore evident, that as D C is greater than
B C, in the same proportion does the power act with mechanical
advantage on the friction.
(327.) Contrivances for diminishing the effects of friction depend on
the properties just explained, the motion of rolling being as much
as possible substituted for that of sliding; and where the motion of
rolling cannot be applied, that of a wheel upon its axle is used. In
some cases both these motions are combined.
Public-domain text, read in full here on John Shaqi.
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