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
"Let ABC, Fig. 12, be three horizontal rollers fixed in a frame;
aaa, etc., is an endless band of sponge, running round these
rollers; and bbb, etc., is an endless chain of weights, surrounding
the band of sponge, and attached to it, so that they must move
together; every part of this band and chain being so accurately
uniform in weight that the perpendicular side AB will, in all
positions of the band and chain, be in equilibrium with the
hypothenuse AC, on the principle of the inclined plane. Now, if the
frame in which these rollers are fixed be placed in a cistern of
water, having its lower part immersed therein, so that the water's
edge cuts the upper part of the rollers BC, then, if the weight and
quantity of the endless chain be duly proportioned to the thickness
and breadth of the band of sponge, the band and chain will, on the
water in the cistern being brought to the proper level, begin to
move round the rollers in the direction AB, by the force of
capillary attraction, and will continue so to move. The process is
as follows:
"On the side AB of the triangle, the weights bbb, etc., hanging
perpendicularly alongside the band of sponge, the band is not
compressed by them, and its pores being left open, the water at the
point x, at which the band meets its surface, will rise to a certain
height y, above its level, and thereby create a load, which load
will not exist on the ascending side CA, because on this side the
chain of weights compresses the band at the water's edge, and
squeezes out any water that may have previously accumulated in it;
so that the band rises in a dry state, the weight of the chain
having been so proportioned to the breadth and thickness of the band
as to be sufficient to produce this effect. The load, therefore, on
the descending side AB, not being opposed by any similar load on the
ascending side, and the equilibrium of the other parts not being
disturbed by the alternate expansion and compression of the sponge,
the band will begin to move in the direction AB; and as it moves
downwards, the accumulation of water will continue to rise, and
thereby carry on a constant motion, provided the load at xy be
sufficient to overcome the friction on the rollers ABC.
"Now to ascertain the quantity of this load in any particular
machine, it must be stated that it is found by experiment that the
water will rise in a fine sponge about an inch above its level; if,
therefore, the band and sponge be one foot thick and six feet broad,
the area of its horizontal section in contact with the water would
be 864 square inches, and the weight of the accumulation of water
raised by the capillary attraction being one inch rise upon 864
square inches, would be 30 lb., which, it is conceived, would be
much more than equivalent to the friction of the rollers."
Public-domain text, read in full here on John Shaqi.
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