A system of three particles with masses m₁ = 8m at position (0, 0, -d), m2 = 7m at position (d, 0, d), and m3 = 5m at position (0, d, 0) has an inertia tensor of I = md² What are the principal moments of inertia of the system? 20 0 7 10 22 0 7 0 12 about the origin. Enter the moments of inertia from smallest to largest. First moment = Ex: 1.23 md² Second moment = Ex: 1.23 md² Third moment = Ex: 1.23 md²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A system of three particles with masses m₁ = 8m at position (0, 0, -d), m2 = 7m at position (d, 0, d),
and m3 = 5m at position (0, d, 0) has an inertia tensor of I = md²
What are the principal moments of inertia of the system?
20 0 7
10
22 0
7 0
12
about the origin.
Enter the moments of inertia from smallest to largest.
First moment = Ex: 1.23
md²
Second moment = Ex: 1.23
md²
Third moment = Ex: 1.23
md²
Transcribed Image Text:A system of three particles with masses m₁ = 8m at position (0, 0, -d), m2 = 7m at position (d, 0, d), and m3 = 5m at position (0, d, 0) has an inertia tensor of I = md² What are the principal moments of inertia of the system? 20 0 7 10 22 0 7 0 12 about the origin. Enter the moments of inertia from smallest to largest. First moment = Ex: 1.23 md² Second moment = Ex: 1.23 md² Third moment = Ex: 1.23 md²
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