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The
flotation problem
An upright
tank, through which passes a number of floats connected by a band of
elastic rubber attached to their ends, leaving just enough space
between them to secure action on each side by the water. They are each
of the same weight as an equal bulk of water at the surface, therefore
the upper one in the tank has no comparative weight.
![]() The next lower
one has a unit of upward force equal to the condensation
of its bulk of water, and so on, each adding a unit to the upward
tendency, until we come to the last, the pressure on which is
altogether downward to the amount of the entire column of water; but we
already have a number of opposing upward forces, and when we look on
the other side and see the thirteen active weights, it seems clear that
there will be a large surplus weight, over and above the opposing
weight and the friction of the rollers and upper wheel. The weights
were to pass through an elastic cylinder at the bottom.
(Subsection 953, from p.382)
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