 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-4/15e/d/solution

 Top articles  Latest articles New article in topic

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 15E / d / Solution by

Codex  0 Created 2026-09-24 Updated 2026-10-03

With compatible signs,

ω_{2} = A tanh (Ω t), ω_{3} = Ω sech (Ω t) .

(1)

Thus as $t \to \infty$ , $ω_{1}$ and $ω_{3}$ vanish while $ω_{2} \to A$ . The body approaches steady rotation about the intermediate principal axis; the full separatrix connects the two opposite intermediate-axis rotations.

 Read the full article

 New to topics? Read the docs here!