In the following exercises, consider a lamina occupying the region R and having the density function p given in the first two groups of Exercises. a. Find the moments of inertia I, Iy, and I about the x-axis, y-axis, and origin, respectively. b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively. 321. R is the triangular region with vertices (0,0), (0, 3), and (6, 0); p(x, y) = xy.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In the following exercises, consider a lamina occupying the region R and having the density function p given in the
first two groups of Exercises.
a. Find the moments of inertia I, Iy, and I about the x-axis, y-axis, and origin, respectively.
b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively.
321. R is the triangular region with vertices (0,0), (0, 3), and (6, 0); p(x, y) = xy.
Transcribed Image Text:In the following exercises, consider a lamina occupying the region R and having the density function p given in the first two groups of Exercises. a. Find the moments of inertia I, Iy, and I about the x-axis, y-axis, and origin, respectively. b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively. 321. R is the triangular region with vertices (0,0), (0, 3), and (6, 0); p(x, y) = xy.
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