At first sight it seems as though the man's work were done for him by
the machine. But this is not so. The man must lower his end of the
lever 3 feet in order to raise the bowlder 6 inches out of the ground.
He does not at any time exert a large force, but he accomplishes his
purpose by exerting a small force continuously through a
correspondingly greater distance. He finds it easier to exert a force
of 100 pounds continuously until his end has moved 3 feet rather than
to exert a force of 600 pounds on the bowlder and move it 6 inches.
By the time the stone has been raised the man has done as much work as
though the stone had been raised directly, but his inability to put
forth sufficient muscular force to raise the bowlder directly would
have rendered impossible a result which was easily accomplished when
through the medium of the lever he could extend his small force
through greater distance.
154. The Wheelbarrow as a Lever. The principle of the lever is
always the same; but the relative position of the important points may
vary. For example, the fulcrum is sometimes at one end, the force at
the opposite end, and the weight to be lifted between them.
[Illustration: FIG. 98.--A slightly different form of lever.]
Suspend a stick with a hole at its center as in Figure 98, and hang a
4-pound weight at a distance of 1 foot from the fulcrum, supporting
the load by means of a spring balance 2 feet from the fulcrum. The
pointer on the spring balance shows that the force required to balance
the 4-pound load is but 2 pounds.
The force is 2 feet from the fulcrum, and the weight (4) is 1 foot
from the fulcrum, so that
Force x distance = Weight x distance,
or 2 x 2 = 4 x 1.
Move the 4-pound weight so that it is very near the fulcrum, say but 6
inches from it; then the spring balance registers a force only one
fourth as great as the weight which it suspends. In other words a
force of 1 at a distance of 24 inches (2 feet) is equivalent to a
force of 4 at a distance of 6 inches.
[Illustration: FIG. 99.--The wheelbarrow lightened labor.]
One of the most useful levers of this type is the wheelbarrow (Fig.
99). The fulcrum is at the wheel, the force is at the handles, the
weight is on the wheelbarrow. If the load is halfway from the fulcrum
to the man's hands, the man will have to lift with a force equal to
one half the load. If the load is one fourth as far from the fulcrum
as the man's hands, he will need to lift with a force only one fourth
as great as that of the load.
[Illustration: FIG. 100.--A modified wheelbarrow.]
This shows that in loading a wheelbarrow, it is important to arrange
the load as near to the wheel as possible.
[Illustration: FIG. 101.--The nutcracker is a lever.]
The nutcracker (Fig. 101) is an illustration of a double lever of the
wheelbarrow kind; the nearer the nut is to the fulcrum, the easier the
cracking.
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