# Solution: ?In the following exercises, consider a lamina occupying the region R and

**Chapter 5, Problem 322**

#### (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 triangular region with vertices (0, 0), (1, 1), and (0, 5); \(\rho(x, y)=x+y\).

Text Transcription:

rho

I_x

I_y

I_0

rho(x, y)=x+y

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