 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ia/paper-4/12a/a/solution

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

Let

{e_{i} (t)}

be an orthonormal basis fixed in

S^{'}

and write

a = a_{i} e_{i}

ω

satisfies

(\dot{e}_{i})_{S} = ω \times e_{i} .

Differentiating the components and the basis vectors in

S

(\dot{a})_{S} = \overset{a}{˙}_{i} e_{i} + a_{i} ω \times e_{i} = (\dot{a})_{S^{'}} + ω \times a .

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