Mechanics: The Science of MachineryBond, A. Russell (Alexander Russell)
History
Mechanics: The Science of Machinery
Bond, A. Russell (Alexander Russell)
Machinery; Mechanical engineering; Mechanics
A nutcracker consists of a pair of levers of the second order. The
fulcrum is at one end and the effort or pressure is applied at the
opposite end of the levers or handles, while the equivalent of the
weight (in this case the nut) is placed between the effort and the
fulcrum. Again the _effort arm_ is measured from the fulcrum or hinge
pin of the tool to the point where the hand pressure is applied, and
the weight arm is measured from the fulcrum to the nut. The effort
arm may be four or five times as long as the weight arm, so that the
pressure exerted on the nut is four or five times as great as that
exerted by the hand on the ends of the handles.
[Illustration: FIG. 2.--AN ANGULAR OR BELL-CRANK LEVER]
In the case of a pair of sugar tongs we have another tool something
like the nutcracker in construction, but here the weight, i.e., the
lump of sugar, is seized by the ends of the tongs while the hand
pressure is applied somewhere between the fulcrum and the weight. Hence
we have here a lever or pair of levers of the third order. The _effort
arm_ of a pair of tongs is always shorter than the _weight arm_ and
the pressure on the sugar lump is always less than that exerted on the
tongs by the hand. Evidently the most powerful tool of the three is the
nutcracker, because the effort arms extend over the full length of the
tool and are always longer than the weight arms.
A lever need not consist of a straight bar; the effort arm may form
an angle with the weight arm, forming what is known as an angular or
bell-crank lever (Figure 2). When a common claw hammer is used to pull
out a nail, the claws that slip under the head of the nail form the
weight arm and the hammer handle the effort arm. A horizontal pull on
the handle produces a vertical lift on the nail.
Sometimes two or more levers are interconnected, as in Figure 3, the
effort arm of one being linked to the weight arm of the other. This
serves to increase the lifting force at the weight and at the same time
keep the mechanism within compact limits. Such compounding can go on
indefinitely and is subject to all sorts of variations.
[Illustration: FIG. 3.--COMPOUND LEVERAGE]
One thing we must not forget, and it is a matter that is commonly
overlooked by perpetual motion cranks, namely, that while a pound of
pressure on the effort arm may be made to lift two, four, or a hundred
times as many pounds on the weight arm by varying the relative length
of these arms, it has to move two, four, or a hundred times as far as
the weight arm, so that the work done on one side of the fulcrum is
always exactly equal to that done on the other side.
CONTINUOUS REVOLVING LEVERAGE
[Illustration: FIG. 4.--PRIMITIVE GEAR WHEELS--TWO COACTING GROUPS OF
LEVERS]
Public-domain text, read in full here on John Shaqi.
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