ENGR.MECH.:STAT.+DYNAMICS
15th Edition
ISBN: 9780134780955
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 9, Problem 127P
To determine
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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.
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).
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 n₂ = ĉ₁ = b; initially.
6₁
Assume a mass distribution such that
J =₁₁• B* •b₁ = 450 kg - m²
I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m²
K
J-I
C³ =r₁₁ = r₁₁
Chapter 9 Solutions
ENGR.MECH.:STAT.+DYNAMICS
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