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

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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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.

The distance R is related to the distance D such that R = md. Determine m.

R
30°
D
ña
Transcribed Image Text: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
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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