Space Problem

The body of the spacecraft has a mass of 160kg and has a radius of gyration about its z-axis of 0.45 m.

Each of the two solar panels may be treated as a uniform flat plate of 8-kg mass.

If the spacecraft is rotation about its z-axis at the angular rate of 1.0 rad/s with θ = 0, determine the angular rate ω after the panels are rotated to the position θ = π/2 by an internal mechanism.

Neglect the small momentum change of the body about the y-axis.