The spacecraft shown is symmetrical about its z-axis and has a radius of gyration of 720...

The spacecraft shown is symmetrical about its z-axis and has a radius of gyration of 720 mm about this axis. The radii of gyration about the x- and y-axes through the mass center are both equal to 540 mm. When moving in space, the z-axis is observed to generate a cone with a total vertex angle of 4° as it precesses about the axis of total angular momentum. If the spacecraft has a spin velocity about its z-axis of 1.5 rad/s, compute the period of each full precession. Is the spin vector in the positive or negative z-direction?