The satellite has a mass of 200 kg and a radius of gyration about z axis of k z = 0.1 m , excluding the two solar panels a and b. each solar panel has a mass of 15 kg and can be approximated as a thin plate. if the satellite is originally spinning about the z axis at a constant rate ω z = 0.5 r a d / s w h e n θ = 90 ° , determine the rate of spin if both panels are raised and reach the upward position, θ = 0 ° , at the same instant.