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21-77. The satellite has a mass of 1.8 Mg, and about axes passing through the mass center G the axial and transverse radii of gyration are k. = 0.8 m and k, = 1.2 m, respectively. If it is spinning at w, = 6 rad/s when it is launched, determine its angular momentum. Precession occurs about the Z axis.

21-77. The satellite has a mass of 1.8 Mg, and about axes passing through the mass center G the axial and transverse radii of gyration are k. = 0.8 m and k, = 1.2 m, respectively. If it is spinning at w, = 6 rad/s when it is launched, determine its angular momentum. Precession occurs about the Z axis.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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21-77. The satellite has a mass of 1.8 Mg, and about axes passing through the mass center G the axial and transverse radii of gyration are k. = 0.8 m and k, = 1.2 m, respectively. If it is spinning at w, = 6 rad/s when it is launched, determine its angular momentum. Precession occurs about the Z axis.
Transcribed Image Text:21-77. The satellite has a mass of 1.8 Mg, and about axes passing through the mass center G the axial and transverse radii of gyration are k. = 0.8 m and k, = 1.2 m, respectively. If it is spinning at w, = 6 rad/s when it is launched, determine its angular momentum. Precession occurs about the Z axis.
Expert Solution
Step 1

Given data

The mass of the satellite is m=1.8 Mg=1800 kg

The axial radii of gyration is kz=0.8 m

The transverse radii of gyration is kt=1.2 m

The satellite is spinning at ωs=6 rads

 

Step 2

The moment of inertia of satellite about the transverse axis is as follows:

It=mkt2It=1800×1.22It=2592 kgm2

The moment of inertia of satellite about the axial axis is as follows:

Iz=mkz2Iz=1800×0.82Iz=1152 kgm2

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