Solved: The space capsule has a mass of 2 Mg, center of

Chapter 21, Problem 21-71

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The space capsule has a mass of 2 Mg, center of mass at G, and radii of gyration about its axis of symmetry (z axis) and its transverse axes (x or y axis) of \(k_{z} = 2.75 \ m\) and \(k_{x}=k_{y}=5.5 \ \mathrm{m}\), respectively. If the capsule has the angular velocity shown, determine its precession \(\dot{\phi}\) and spin \(\dot{\psi}\). Indicate whether the precession is regular or retrograde. Also, draw the space cone and body cone for the motion.

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