We investigate the optimal amount of liquid to place in a container, such
as a soda can or cup of coffee, so that the angle at which the container will tip
over is as large as possible.
Classic investigations assume that the water is static and does not flow
as the can rotates (as would be the case with frozen water). We study the
effect of allowing the water to flow. We develop an algorithm to solve the
optimization problem for given can parameters (size and mass) and obtain
various symbolic and geometric results.
The main open question is to prove several of the observed properties of
the graph of the tipping angle as a function of the amount of water in the
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