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At 9:07 PM -0400 11/3/10, Ken Caviness wrote:Yesterday I voted in the wrong side, today I must write more carefully:
It occurs to me that the glue between the bottom of the box and theI'm trying to keep it real here.
bottom of the aquarium might be treated as a viscous fluid. Even if
the glue does seal the box to the aquarium so that no water can seep
between them, as the aquarium is filled with water the pressure at
the bottom of the aquarium rises, and this pressure might then be
expected to squish the glue around the edges, in turn raising the
internal pressure inside the thin layer of glue itself, and being
communicated to the bottom of the box, despite our best efforts to
prevent this from happening. If this were to occur, the box would
effectively again have a buoyancy force.
Of course, if you insist on "ideal glue", like massless strings and
perfectly rigid rods, .... :-)
Easy to do the experiment: just put a hook in the top of the boxI would expect it to decrease if the water vessel has an unyielding bottom.
(or pole, as some have said) and tie it to a force sensor overhead,
arranging things so there is some tension in the string (which is
recorded by the force sensor). Now add water. If the glue is
communicating a buoyancy force to the box/pole, the tension in the
string should decrease.
For an aquarium - the bottom will sag, But it will sag less if there
is an empty box glued to the bottom.
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