et S be the part of the sphere x² + y2 + z² = 100 that lies above the plane z = 6. Let S have constant density k. (a) Find the center of mass. (7. 7.2) - | х, у, (b) Find the moment of inertia about the z-axis.
et S be the part of the sphere x² + y2 + z² = 100 that lies above the plane z = 6. Let S have constant density k. (a) Find the center of mass. (7. 7.2) - | х, у, (b) Find the moment of inertia about the z-axis.
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Transcribed Image Text:Let S be the part of the sphere x2 + y2 + z² = 100 that lies above the plane z = 6. Let S have constant density k.
(a) Find the center of mass.
(*. v. 3) - |
(b) Find the moment of inertia about the z-axis.
Iz =
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