A cylindrical satellite of radius 1 m is initially spinning, Ask an Expert

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A cylindrical satellite of radius 1 m is initially spinning about the axis of symmetry at the rate of 2 rad/s with a nutation angle of 15o. The principal moments of inertia are A ¼ B ¼ 30 kg$m2 and C ¼ 60 kg$m2. An energy dissipation device is built into the satellite, so that it eventually ends up in pure spin around the z-axis.

(a) Calculate the final spin rate about the z-axis.

(b) Calculate the loss of kinetic energy.

(c) A tangential-release yo-yo despin device is also included in the satellite. If the two yo-yo masses are each 7 kg, what cord length is required to completely despin the satellite? Is it wrapped in the proper direction in the figure?

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