The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 5

Find the moments of inertia about the three axes of an object with constant density 1 filling the cube shown in Figure 12.6.11,

0 ≤ x ≤ a, 0 ≤ y ≤ a, 0 ≤ z ≤ a.

12_multiple_integrals-362.gif

Similarly,                           Iy = fa5, Iz = fa5.

12_multiple_integrals-363.gif

Figure 12.6.11


Last Update: 2006-11-15