*19-32. The space satellite has a mass of 125 kg and a

Chapter 20, Problem 19-32

(choose chapter or problem)

The space satellite has a mass of 125 kg and a moment of inertia \(I_{z}=0.940 \mathrm{\ kg} \cdot \mathrm{m}^{2}\), excluding the four solar panels A, B, C, and D. Each solar panel has a mass of 20 kg and can be approximated as a thin plate. If the satellite is originally spinning about the z axis at a constant rate \(\omega_z=0.5\mathrm{\ rad}/\mathrm{s}\text{ when }\theta=90^{\circ}\), determine the rate of spin if all the panels are raised and reach the upward position, \(\theta=0^{\circ}\). at the same instant.