The space satellite has a mass of 125 kg and a moment of inertia I_z = 0.940 kg · m², 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 ω₂ = 0.5 rad/s when θ = 90°, determine the rate of spin if all the panels are raised and reach the upward position, θ = 0°, at the same instant.

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0.2 m B 0 = 90° 0.75 m N 0.2 m