Solution: ?In the following exercises, consider a lamina occupying the region R and
Chapter 5, Problem 327(choose chapter or problem)
In the following exercises, consider a lamina occupying the region R and having the density function \(\rho\) given in the first two groups of Exercises.
a. Find the moments of inertia \(I_{x}\), \(I_{y}\), and \(I_{0}\) 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.
R is the disk of radius 2 centered at (1, 2); \(\rho(x, y)=x^{2}+y^{2}-2 x-4 y+5\).
Text Transcription:
rho
I_x
I_y
I_0
rho(x, y)=x^2 + y^2 - 2x-4y+5
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