Animal Locomotion; or, walking, swimming, and flying: With a dissertation on aëronauticsPettigrew, James Bell
Science
Animal Locomotion; or, walking, swimming, and flying: With a dissertation on aëronautics
Pettigrew, James Bell
Aeronautics; Animal locomotion
“In straight levers of the _first kind_, the fulcrum is between the
power and the resistance, as in fig. 1, where F is the fulcrum of the
lever AB; P is the power, and W the weight or resistance. We have
P : W :: BF : AF, hence P.AF = W.BF, and the pressure on the fulcrum is both
the power and resistance, or P + W.
“In the second order of levers (fig. 2), the resistance is between
the fulcrum and the power; and, as before, P : W :: BF : AF, but the
pressure of the fulcrum is equal to W - P, or the weight less the power.
[Illustration: FIG. 2.]
“In the third order of lever the power acts between the prop and the
resistance (fig. 3), where also P : W :: BF : AF, and the pressure on
the fulcrum is P - W, or the power less the weight.
[Illustration: FIG. 3.]
“In the preceding computations the weight of the lever itself is
neglected for the sake of simplicity, but it obviously forms a part of
the elements under consideration, especially with reference to the arms
and legs of animals.
“To include the weight of the lever we have the following equations:
P.AF + {AF}.1/2AF = W.BF + {BF}.1/2BF; in the first order, where
{AF} and {BF} represent the weights of these portions of the lever
respectively. Similarly, in the second order P.AF = W.BF + {AF}.(AF)/2,
and in the third order P.AF = W.BF + {BF}.(BF)/2.
“In this outline of the theory of the lever, the forces have been
considered as acting vertically, or parallel to the direction of the
force of gravity.
“_Passive Organs of Locomotion. Bones._--The solid framework or
skeleton of animals which supports and protects their more delicate
tissues, whether chemically composed of entomoline, carbonate, or
phosphate of lime; whether placed internally or externally; or whatever
may be its form or dimensions, presents levers and fulcra for the
action of the muscular system, in all animals furnished with earthy
solids for their support, and possessing locomotive power.”[11] The
levers and fulcra are well seen in the extremities of the deer, the
skeleton of which is selected for its extreme elegance.
[11] Bishop, _op. cit._
[Illustration:
FIG. 4. Skeleton of the Deer (after Pander and D’Alton). The bones
in the extremities of this the fleetest of quadrupeds are inclined
very obliquely towards each other, and towards the scapular and
iliac bones. This arrangement increases the leverage of the muscular
system and confers great rapidity on the moving parts. It augments
elasticity, diminishes shock, and indirectly begets continuity of
movement, _a._ Angle formed by the femur with the ilium, _b._ Angle
formed by the tibia and fibula with the femur, _c._ Angle formed by
the cannon bone with the tibia and fibula, _d._ Angle formed by the
phalanges with the cannon bone. _e._ Angle formed by the humerus
with the scapula. _f._ Angle formed by the radius and ulna with the
humerus.]
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