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### The arch in Example 3 Find $I_{x}$ for the arch i…

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YZ
University of Illinois at Urbana-Champaign
Problem 40

# Wire of constant density A wire of constant density $\delta=1$ lies along the curve$$\mathbf{r}(t)=(t \cos t) \mathbf{i}+(t \sin t) \mathbf{j}+(2 \sqrt{2} / 3) t^{3 / 2} \mathbf{k}, \quad 0 \leq t \leq 1.$$

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