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### In Exercises $43-46,$ use a CAS to perform the fo…

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YZ
University of Illinois at Urbana-Champaign
Problem 42

# Center of mass and moments of inertia for wire with variable density Find the center of mass and the moments of inertia about the coordinate axes of a thin wire lying along the curve$$\mathbf{r}(t)=t \mathbf{i}+\frac{2 \sqrt{2}}{3} t^{3 / 2} \mathbf{j}+\frac{t^{2}}{2} \mathbf{k}, \quad 0 \leq t \leq 2$$if the density is $\delta=1 /(t+1)$

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## Video Transcript

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