On equilibrium positions of convex bodies

Abstract:

Let \$K\$ be a convex body made of material of uniform density less than 1 submerged into water of density 1. How to find the directions of equilibrium of \$K\$? How many directions of equilibrium does a triangular prism have? (A direction \$n\$ orthogonal to the water surface is called the direction of equilibrium if the line passing through the center of mass of \$K\$ and the center of mass of the underwater part is parallel to \$n\$).

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

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Meeting ID: 915 4733 5974