The turbine on a ship has a mass of 400 kg and is mounted on bearings A and B as shown. It...

The turbine on a ship has a mass of 400 kg and is mounted on bearings A and B as shown. Its center of mass is at G, its radius of gyration is kz = 0.3 m, and kx = ky = 0.5 m. If it is spinning at 200 rad/s, determine the vertical reactions at the bearings when the ship undergoes each of the following motions:

(a) rolling, ω1 = 0.2 rad/s,

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(b) turning, ω2 = 0.8 rad/s,

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(c) pitching, ω3 = 1.4 rad/s.