Chapter 6: Applications of Double Integration
Section 6.6: Second Moments
Example 6.6.1
Find the moments of inertial and , the total mass , and the radii of gyration and of the lamina that occupies , the region bounded by and the -axis. Take . See Example 6.5.1.
Solution
Mathematical Solution
Table 6.6.1(a) summarizes the requisite calculations.
=
Table 6.6.1(a) Moments of inertia and radii of gyration
Maple Solution - Interactive
Obtain the total mass
Calculus palette: Iterated double-integral template
Context Panel: Evaluate and Display Inline
Context Panel: Assign to a Name≻
Obtain the second moments
Context Panel: Assign to a Name≻ (or , as appropriate)
Obtain the radii of gyration
Expression palette: Square-root template
Press the Enter key.
Maple Solution - Coded
Use the top-level int command.
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