The spacecraft shown has a mass m with mass center G. Its radius of gyration about its z...

The spacecraft shown has a mass m with mass center G. Its radius of gyration about its z-axis of rotational symmetry is k and that about either the x- or y-axis is In space, the spacecraft spins within its x-y-z reference frame at the rate Simultaneously, a point C on the z-axis moves in a circle about the z0-axis with a frequency ƒ (rotations per unit time). The z0-axis has a constant direction in space. Determine the angular momentum H_G of the spacecraft relative to the axes designated. Note that the x-axis always lies in the z-z0 plane and that the y-axis is therefore normal to z0.