Kevin Zhou — Mechanics IV Problem 2 · Kevin Zhou #M4.2
Physics · mechanics
Problem
Problem 2. Some questions about small oscillations with the buoyant force.
(a) A cubical glacier of side length L has density ρ and floats in water with density ρ . Find
i w
the angular frequency of small oscillations, assuming that a face of the glacier always remains
parallel to the water surface, and that the force of the water on the glacier is always given by
the hydrostatic buoyant force.
(b) A ball of radius R floats in water with half its volume submerged. Find the angular frequency
of small oscillations, making the same assumption.
(c) There are important effects that both of the previous parts neglect. What are some of them?
Is the true oscillation frequency higher or lower than the one found here?