Let D be solid hemisphere x? + y² + :² < 1, : > 0. The density function is d = :. We will tell you that the mass is m = T/4. Use SPHERICAL COORDINATES and find the z-coordinate of the center of mass. Hint: You need Mry. : =??? p² sin (ø) dp do do p: 0 →??? ф: 0 —??? 0: 0 → 27. 15
Let D be solid hemisphere x? + y² + :² < 1, : > 0. The density function is d = :. We will tell you that the mass is m = T/4. Use SPHERICAL COORDINATES and find the z-coordinate of the center of mass. Hint: You need Mry. : =??? p² sin (ø) dp do do p: 0 →??? ф: 0 —??? 0: 0 → 27. 15
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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Transcribed Image Text:Let D be solid hemisphere x? + y² + :² < 1, : > 0.
The density function is d = :. We will tell you that the mass is m = T/4.
Use SPHERICAL COORDINATES and find the z-coordinate of the center of mass.
Hint: You need Mry.
: =???
p² sin (ø) dp do do
p: 0 →???
ф: 0 —???
0: 0 → 27.
15
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