Let A B C D E F, _fig. 150._, be a
_crank_, which is a double winch ((252.) and _fig. 89._), by
which an axle, A B E F, is to be turned. Attached
to the middle of C D by a joint is a rod, which is connected
with a beam, worked with an alternate motion on a centre, like
the brake of a pump, and driven by any constant power, such as a
steam-engine. The bar C D is to be carried with a circular motion
round the axis A E. Let the machine, viewed in the direction
A B E F of the axis, be conceived to be represented
in _fig. 151._, where A represents the centre round which the
motion is to be produced, and G the point where the connecting rod
G H is attached to the arm of the crank. The circle through which
G is to be urged by the rod is represented by the dotted line. In
the position represented in _fig. 151._, the rod acting in the
direction H G has its full power to turn the crank G A round
the centre A. As the crank comes into the position represented in
_fig. 152._, this power is diminished, and when the point G comes
immediately below A, as in _fig. 153._, the force in the direction
H G has no effect in turning the crank round A, but, on the
contrary, is entirely expended in pulling the crank in the direction
A G, and, therefore, only acts upon the pivots or gudgeons which
support the axle. At this crisis of the motion, therefore, the whole
effective energy of the power is annihilated.
After the crank has passed to the position represented in
_fig. 154._, the direction of the force which acts upon the
connecting rod is changed, and now the crank is drawn upward in the
direction G H. In this position the moving force has some efficacy
to produce rotation round A, which efficacy continually increases
until the crank attains the position shown in _fig. 155._, when
its power is greatest. Passing from this position its efficacy is
continually diminished, until the point G comes immediately above the
axis A, _fig. 156._ Here again the power loses all its efficacy
to turn the axle. The force in the direction G H or H G can
obviously produce no other effect than a strain upon the pivots or
gudgeons.
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