The turbine rotor of the ship in Figure 2 has a mass of 6000 kg and a radius of gyration of 0.45 m, and runs at 2400 rpm clockwise when viewed from the stern. Determine (a) the gyroscopic couple when the ship steers to the left on a curve of 80 m radius at 10 m/s (in kN·m), and (b) the maximum gyroscopic couple when the ship pitches with simple harmonic motion, the bow rising and falling 6° above and below the horizontal with a period of 16 s (in kN·m).