Hence it appears that no mechanical advantage is gained by this
machine. Nevertheless, there is scarcely any engine, simple or complex,
attended with more convenience. In the application of power, whether
of men or animals, or arising from natural forces, there are always
some directions in which it may be exerted to much greater convenience
and advantage than others, and in many cases the exertion of these
powers is limited to a single direction. A machine, therefore, which
enables us to give the most advantageous direction to the moving power,
whatever be the direction of the resistance opposed to it, contributes
as much practical convenience as one which enables a small power to
balance or overcome a great weight. In directing the power against the
resistance, it is often necessary to use two fixed pulleys. Thus, in
elevating a weight A, _fig. 114._, to the summit of a building,
by the strength of a horse moving below, two fixed pulleys B and C may
be used. The rope is carried from A over the pulley B; and, passing
downwards, is brought under C, and finally drawn by the animal on
the horizontal plane. In the same manner sails are spread, and flags
hoisted on the yards and masts of a ship, by sailors pulling a rope on
the deck.
By means of the fixed pulley a man may raise himself to a considerable
height, or descend to any proposed depth. If he be placed in a chair
or bucket attached to one end of a rope which is carried over a fixed
pulley, by laying hold of this rope on the other side, as represented
in _fig. 115._, he may, at will, descend to a depth equal to half
of the entire length of the rope, by continually yielding rope on the
one side, and depressing the bucket or chair by his weight on the
other. Fire-escapes have been constructed on this principle, the fixed
pulley being attached to some part of the building.
(270.) A _single moveable pulley_ is represented in _fig. 116._
A cord is carried from a fixed point F, and passing through a block
B, attached to a weight W, passes over a fixed pulley C, the power
being applied at P. We shall first suppose the parts of the cord on
each side the wheel B to be parallel; in this case, the whole weight W
being sustained by the parts of the cords B C and B F, and
these parts being equally stretched (268.), each must sustain half the
weight, which is therefore the tension of the cord. This tension is
resisted by the power at P, which must, therefore, be equal to half the
weight. In this machine, therefore, the weight is twice the power.
Public-domain text, read in full here on John Shaqi.
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