Calculate (I_{0}) and (I_{x}) for the disk (mathcal{D}) defined by (x^{2}+y^{2} leq 16) (in meters), with total

Question:

Calculate $I_{0}$ and $I_{x}$ for the disk $\mathcal{D}$ defined by $x^{2}+y^{2} \leq 16$ (in meters), with total mass $1000 \mathrm{~kg}$ and uniform mass density. Hint: Calculate $I_{0}$ first and observe that $I_{0}=2 I_{x}$. Express your answer in the correct units.

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