Let A B C be three horizontal rollers fixed in a frame; _a a a_,
etc., is an endless band of sponge, running round these rollers;
and _b b b_, 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 A B will, in all
positions of the band and chain, be in equilibrium with the
hypothenuse A C, 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 B C, 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
A B, by the force of capillary attraction, and will continue so
to move. The process is as follows:
On the side A B of the triangle, the weights _b b b_, 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
C A, 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
A B, 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 A B; and as it moves
downwards, the accumulation of water will continue to rise, and
thereby carry on a constant motion, provided the load at _x y_ be
sufficient to overcome the friction on the rollers A B C.
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 lbs., 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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