It is not necessary, for the effect just described, that the inclined
planes should, as represented in the figure, form an angle with each
other. They may be parallel, or in any other position, the rope being
carried over a sufficient number of wheels placed so as to give it the
necessary deflection. This method of moving loads is frequently applied
in great public works where rail-roads are used. Loaded waggons descend
one inclined plane, while other waggons, either empty or so loaded as
to permit the descent of those with which they are connected, are drawn
up the other.
(290.) In the application of the inclined plane which we have hitherto
noticed, the machine itself is supposed to be fixed in its position,
while the weight or load is moved upon it. But it frequently happens
that resistances are to be overcome which do not admit of being thus
moved. In such cases, instead of moving the load upon the planes,
the plane is to be moved under or against the load. Let D E,
_fig. 132._, be a heavy beam secured in a vertical position
between guides F G and H I, so that it is free to move
upwards and downwards, but not laterally. Let A B C be an
inclined plane, the extremity of which is placed beneath the end of
the beam. A force applied to the back of this plane A C, in the
direction C B, will urge the plane under the beam so as to raise
the beam to the position represented in _fig. 133._ Thus, while
the inclined plane is moved through the distance C B, the beam is
raised through the height C A.
(291.) When the inclined plane is applied in this manner, it is called
a _wedge_. And if the power applied to the back were a continued
pressure, its proportion to the weight would be that of A C to
C B. It follows, therefore, that the more acute the angle B is,
the more powerful will be the wedge.
In some cases, the wedge is formed of two inclined planes, placed base
to base, as represented in _fig. 134._ The theoretical estimation
of the power of this machine is not applicable in practice with any
degree of accuracy. This is in part owing to the enormous proportion
which the friction in most cases bears to the theoretical value of
the power, but still more to the nature of the power generally used.
The force of a blow is of a nature so wholly different from continued
forces, such as the pressure of weights, or the resistance offered by
the cohesion of bodies, that it admits of no numerical comparison with
them. Hence we cannot properly state the proportion which the force
of a blow bears to the amount of a weight or resistance. The wedge is
almost invariably urged by percussion; while the resistances which it
has to overcome are as constantly forces of the other kind. Although,
however, no exact numerical comparison can be made, yet it may be
stated in a general way that the wedge is more and more powerful as its
angle is more acute.
[Illustration: _C. Varley, del._ _H. Adlard, sc._
_London, Pubd. by Longman & Co._]
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