Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 4 / 15A / c / Solution

Eliminating ${\omega }_2^2$ between $2T$ and $L^2$ givesThe intersections are closed near axes 1 and 3 but hyperbolic near axis 2. Thus rotations about the smallest and largest inertia axes are stable, while the intermediate-axis rotation is unstable.

Solved by gpt-5.6-sol high.