The advantage of this machine, when accurately constructed, is very
considerable. The friction, even when great resistances are to be
opposed, is very trifling; but, on the other hand, it has corresponding
disadvantages which greatly circumscribe its practical utility. In the
workmanship of the grooves great difficulty is found in giving them
the exact proportions. In doing which, the thickness of the rope must
be accurately allowed for; and consequently it follows, that the same
pulley can never act except with a rope of a particular diameter. A
very slight deviation from the true proportion of the grooves will
cause the rope to be unequally stretched, and will throw on some parts
of it an undue proportion of the weight, while other parts become
nearly, and sometimes altogether slack. Besides these defects, the rope
is so liable to derangement by being thrown out of the grooves, that
the pulley can scarcely be considered portable.
For these and other reasons, this machine, ingenious as it
unquestionably is, has never been extensively used.
(275.) In the several systems of pulleys just explained, the hook to
which the fixed block is attached supports the entire of both the power
and weight. When the machine is in equilibrium, the power only supports
so much of the weight as is equal to the tension of the cord, all the
remainder of the weight being thrown on the fixed point, according to
what was observed in (225.)
If the power be moved so as to raise the weight, it will move with a
velocity as many times greater than that of the weight as the weight
itself is greater than the power. Thus in _fig. 118._ if the
weight attached to the lower block ascend one foot, six feet of line
will pass over the pulley A, according to what has been already proved.
Thus, the power will descend through six feet, while the weight rises
one foot. But, in this case, the weight is six times the power. All the
observations in (226.) will therefore be applicable to the cases of
great weights raised by small powers by means of the system of pulleys
just described.
(276.) When two or more ropes are used, pulleys may be combined in
various ways so as to produce any degree of mechanical effect. If
to any of the systems already described a single moveable pulley
be added, the power of the machine would be doubled. In this case,
the second rope is attached to the hook of the lower block, as in
_fig. 122._, and being carried through a moveable pulley
attached to the weight, it is finally brought up to a fixed point. The
tension of the second cord is equal to half the weight (270.); and
therefore the power P, by means of the first cord, will have only half
the tension which it would have if the weight were attached to the
lower block. A moveable pulley thus applied is called a _runner_.
[Illustration: _C. Varley, del._ _H. Adlard, sc._
_London, Pubd. by Longman & Co._]
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