R 30° D ña The problems are generally based on the following model: A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where î₁ = ĉ₁ = b; initially. Assume a mass distribution such that J =₁₁₂• B •₁ = 450 kg - m² K = J-I I B • C³ =r₁₁ =r₁₁ =b₁•* •b₁ = 200 kg - m²
R 30° D ña The problems are generally based on the following model: A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where î₁ = ĉ₁ = b; initially. Assume a mass distribution such that J =₁₁₂• B •₁ = 450 kg - m² K = J-I I B • C³ =r₁₁ =r₁₁ =b₁•* •b₁ = 200 kg - m²
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Below is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions.
Determine I_aa ( moment of inertia) for direction n_a (this is a unit vector).

Transcribed Image Text:R
30°
D
ña

Transcribed Image Text:The problems are generally based on the following model:
A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂
be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make
the mathematics simpler, introduce a frame C where î₁ = ĉ₁ = b; initially.
Assume a mass distribution such that
J =₁₁₂• B •₁ = 450 kg - m²
K =
J-I
I
B •
C³ =r₁₁ =r₁₁
=b₁•* •b₁ = 200 kg - m²
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