Example 6-6-2 - Maple Help



Chapter 6: Applications of Double Integration



Section 6.6: Second Moments



Example 6.6.2



 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 has the shape of $R$ in Example 6.6.1 (the region bounded by $y=\sqrt{1-{x}^{2}}$ and the $x$-axis), and whose density is equal to the square of the distance from the point $\left(0,1/2\right)$. See Example 6.5.2.