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2. Find the center of mass of the lamina in Exercise 11 if the density at any point is proportional to the square of its distance from the origin.

2. Find the center of mass of the lamina in Exercise 11 if the density at any point is proportional to the square of its distance from the origin.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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12) Find the center of mass of the lamina in exercise 11 if the density at any point is proportional to the square of its distance from the origin.

11. A lamina occupies the part of the disk x² + y² ≤ 1 in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis. 12. Find the center of mass of the lamina in Exercise 11 if the density at any point is proportional to the square of its distance from the origin.
Transcribed Image Text:11. A lamina occupies the part of the disk x² + y² ≤ 1 in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis. 12. Find the center of mass of the lamina in Exercise 11 if the density at any point is proportional to the square of its distance from the origin.
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