The body of the spacecraft weighs 322 lb on earth and has a radius of gyration about its...

The body of the spacecraft weighs 322 lb on earth and has a radius of gyration about its z-axis of 1.5 ft. Each of the two solar panels may be treated as a uniform flat plate weighing 16.1 lb. If the spacecraft is rotating about its z-axis at the angular rate of 1.0 rad/sec with θ = 0, determine the angular rate ω after the panels are rotated to the position by an internal mechanism. Neglect the small momentum change of the body about the y-axis.