Nut-crackers are two levers of the second kind; the hinge which unites
them being the fulcrum, the resistance of the shell placed between
them being the weight, and the hand applied to the extremity being the
power.
A wheelbarrow is a lever of the second kind; the fulcrum being the
point at which the wheel presses on the ground, and the weight being
that of the barrow and its load, collected at their centre of gravity.
The same observation may be applied to all two-wheeled carriages, which
are partly sustained by the animal which draws them.
(238.) In a lever of the third kind, the weight, being more distant
from the fulcrum than the power, must be proportionably less than
it. In this instrument, therefore, the power acts upon the weight to
a mechanical disadvantage, inasmuch as a greater power is necessary
to support or move the weight than would be required if the power
were immediately applied to the weight, without the intervention of a
machine. We shall, however, hereafter show that the advantage which
is lost in force is gained in despatch, and that in proportion as the
weight is less than the power which moves it, so will the speed of its
motion be greater than that of the power.
Hence a lever of the third kind is only used in cases where the
exertion of great power is a consideration subordinate to those of
rapidity and despatch.
The most striking example of levers of the third kind is found in the
animal economy. The limbs of animals are generally levers of this
description. The socket of the bone is the fulcrum; a strong muscle
attached to the bone near the socket is the power; and the weight
of the limb, together with whatever resistance is opposed to its
motion, is the weight. A slight contraction of the muscle in this case
gives a considerable motion to the limb: this effect is particularly
conspicuous in the motion of the arms and legs in the human body; a
very inconsiderable contraction of the muscles at the shoulders and
hips giving the sweep to the limbs from which the body derives so much
activity.
The treddle of the turning lathe is a lever of the third kind. The
hinge which attaches it to the floor is the fulcrum, the foot applied
to it near the hinge is the power, and the crank upon the axis of the
fly-wheel, with which its extremity is connected, is the weight.
Tongs are levers of this kind, as also the shears used in shearing
sheep. In these cases the power is the hand placed immediately below
the fulcrum or point where the two levers are connected.
(239.) When the power is said to support the weight by means of a lever
or any other machine, it is only meant that the power keeps the machine
in equilibrium, and thereby enables it to sustain the weight. It is
necessary to attend to this distinction, to remove the difficulty which
may arise from the paradox of a small power sustaining a great weight.
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