Mechanics: The Science of MachineryBond, A. Russell (Alexander Russell)
History
Mechanics: The Science of Machinery
Bond, A. Russell (Alexander Russell)
Machinery; Mechanical engineering; Mechanics
There are three types or _orders_ of levers produced by varying the
relative positions of the points where the fulcrum, the force or
effort, and the weight or load are applied. These are shown in Figure
1. In the lever of the _first order_ the fulcrum is placed between the
effort and the weight; in the lever of the _second order_ the weight
is applied between the fulcrum and the effort; and in the lever of the
_third order_ the effort is applied between the fulcrum and the weight.
In each case that part of the lever which extends from the fulcrum to
the point where the effort is applied is called the _effort arm_, and
that which extends from the fulcrum to the point where the weight is
supported is the _weight arm_. The weight that can be lifted with a
given effort depends upon the ratio of the effort arm to the weight
arm. If the two arms are of equal length, the effort is equal to the
weight, but twice the weight can be lifted with the same effort if the
effort arm is twice as long as the weight arm. You can lift a ton with
an effort of only 100 pounds if your effort arm is twenty times as long
as your weight arm but the end of your effort arm would have to move
twenty inches to raise the ton weight one inch. We are assuming in all
these cases that the lever itself has no weight and that there is no
friction at the fulcrum.
Of course levers are not used merely for the purpose of lifting weight,
but to overcome any resistance or merely to apply pressure upon an
object. In almost every household we may find examples of the three
orders of levers. A pair of shears, for instance, is composed of two
levers of the first order, swinging on a common fulcrum. The effort is
applied at the handles, and the weight or load is the material that is
cut by the blades or, speaking more technically, the handles are the
_effort arms_ and the blades are the _weight arms_. A material that
is too tough to be cut at the tip ends of the blades may be easily
cut if we move it in near the fulcrum or pin that hinges the blades
together; for by doing this we shorten the weight arms, because the
weight arm is measured not to the end of the blade, but to the point
where it is cutting into the material. To cut very tough material, such
as heavy tin or sheet steel, we use long-handled short-bladed shears.
The cutting pressure depends upon the ratio of the effort arm to the
weight arm. If the effort arms are twice as long as the weight arms,
the cutting pressure is twice as great as that applied at the handles.
Public-domain text, read in full here on John Shaqi.
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