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Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2024

Paper 4

With compatible signs,
$$
\omega_2=A\tanh(\Omega t),
\qquad
\omega_3=\Omega\operatorname{sech}(\Omega t).
$$
\b[Thus as $t\to\infty$, $\omega_1$ and $\omega_3$ vanish while $\omega_2\to A$. The body approaches steady rotation about the intermediate principal axis; the full separatrix connects the two opposite intermediate-axis rotations.]


Solution

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

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

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

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