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

Euler's equations are $I_1{\dot{\omega }}_1=(I_2-I_3){\omega }_2{\omega }_3$ and cyclic permutations. Setting two components to zero gives uniform rotation about any principal axis.

Solved by gpt-5.6-sol high.