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Past exam of the mathematics course of the University of Cambridge / 2022 / ia / Paper 4 / 11C / a / ii / Solution

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.

Solved by gpt-5.6-sol high.

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