Example 6-6-1 - Maple Help



Chapter 6: Applications of Double Integration



Section 6.6: Second Moments



Example 6.6.1



 Find the moments of inertial ${I}_{x}$ and ${I}_{y}$, the total mass $m$, and the radii of gyration ${R}_{x}$ and ${R}_{y}$ of the lamina that occupies $R$, the region bounded by $y=\sqrt{1-{x}^{2}}$ and the $x$-axis. Take $\mathrm{ρ}=1$. See Example 6.5.1.