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.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a422f0d-8f23-4f16-9769-e09addfbce07%2Fe6ce9344-86c6-4afd-a87f-f37717e50497%2F5p8crtn_processed.png&w=3840&q=75)
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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