A system of three particles with masses m₁ = 5m at position (0, 0, -d), m2 = 7m at position (d, 0, d), 15 0 7 and m3 = 3m at position (0, d, 0) has an inertia tensor of I = md² 0 19 0 about the origin. 7 0 10 What are the principal moments of inertia of the system? Enter the moments of inertia from smallest to largest. First moment = Ex: 1.23 Second moment = Ex: 1.23 Imd² Third moment = Ex: 1.23 md² md²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 39E
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A system of three particles with masses m₁ = 5m at position (0, 0, -d), m2 = 7m at position (d, 0, d),
15
0
7
and m3 = 3m at position (0, d, 0) has an inertia tensor of I = md²
0
19
0
about the origin.
7
0
10
What are the principal moments of inertia of the system?
Enter the moments of inertia from smallest to largest.
First moment = Ex: 1.23
Second moment = Ex: 1.23
Imd²
Third moment = Ex: 1.23
md²
md²
Transcribed Image Text:A system of three particles with masses m₁ = 5m at position (0, 0, -d), m2 = 7m at position (d, 0, d), 15 0 7 and m3 = 3m at position (0, d, 0) has an inertia tensor of I = md² 0 19 0 about the origin. 7 0 10 What are the principal moments of inertia of the system? Enter the moments of inertia from smallest to largest. First moment = Ex: 1.23 Second moment = Ex: 1.23 Imd² Third moment = Ex: 1.23 md² md²
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