The Seven Follies of Science [2nd ed.]: A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. To which is added a small budget of interesting paradoxes, illusions, and marvelsPhin, John
History
The Seven Follies of Science [2nd ed.]: A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. To which is added a small budget of interesting paradoxes, illusions, and marvels
Phin, John
Geometry -- Famous problems; Scientific recreations
That an ordinary amateur mechanic should be misled by such arguments is
perhaps not so surprising, when we remember that the famous John
Bernoulli claimed to have invented a perpetual motion based on the
difference between the specific gravities of two liquids. A translation
of the original Latin may be found in the Encyclopaedia Britannica, Vol.
XVIII, page 555. Some of the premises on which he depends are, however,
impossibilities, and Professor Chrystal concludes his notice of the
invention thus: "One really is at a loss with Bernoulli's wonderful
theory, whether to admire most the conscientious statement of the
hypothesis, the prim logic of the demonstration--so carefully cut
according to the pattern of the ancients--or the weighty superstructure
built on so frail a foundation. Most of our perpetual motions were
clearly the result of too little learning; surely this one was the
product of too much."
A more simple device was suggested recently by a correspondent of
"Power." He describes it thus:
The J-shaped tube A, Fig. 14, is open at both ends, but tapers at the
lower end, as shown. A well-greased cotton rope C passes over the wheel
B and through the small opening of the tube with practically little or
no friction, and also without leakage. The tube is then filled with
water. The rope above the line WX balances over the pulley, and so does
that below the line YZ. The rope in the tube between these lines is
lifted by the water, while the rope on the other side of the pulley
between these lines is pulled downward by gravity.
[Illustration: Fig. 14.]
The inventor offers the above suggestion rather as a kind of puzzle than
as a sober attempt to solve the famous problem, and he concludes by
asking why it will not work?
In addition to the usual resistance or friction offered by the air to
all motion, there are four drawbacks:
1. The friction in its bearings of the axle of the wheel B.
2. The power required to bend and unbend the rope.
3. The friction of the rope in passing through the water from z to x and
its tendency to raise a portion of the water above the level of the
water at x.
4. The friction at the point y, this last being the most serious of all.
An "opening of the tube with practically little or no friction, and also
without leakage" is a mechanical impossibility. In order to have the
joint water-tight, the tube must hug the rope very tightly and this
would make friction enough to prevent any motion. And the longer the
column of water xz, the greater will be the tendency to leak, and
consequently the tighter must be the joint and the greater the friction
thereby created.
Public-domain text, read in full here on John Shaqi.
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