 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ia/paper-4/11c/a/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

The axis

y = 0, z = h

is parallel to the

x

-axis and lies a distance

∣ h ∣

from it. The parallel axis theorem therefore gives

I = \frac{1}{4} M r^{2} + M h^{2} = M (\frac{r ^{2}}{4} + h^{2})

to leading order in the thickness.

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