= The pandemic having completely shut down the tourist cruise sector, the industry decided to renovate their fleet. To encourage the public to return to their ships, each ship will be equipped with a gyroscope stabilization system to minimize roll ($). The external motor turns a gear which is attached to the frame of the gyroscope. The frame of the gyroscope is aligned with the transverse axis of the ship. The rotor rotates inside the casing with a speed of 100 rad/s. The rotor has a mass of 80 103 kg, a radius of 2 m, and a thickness of 80 cm. If the ship's dynamic model indicates that a moment of Mx = 4 106 f(t) Nm must be applied to stabilize the roll, determine the angular position and the angular velocity of the gyroscope and the power necessary to produce the motion. You must illustrate these quantities graphically in degrees and kW for the first 2 seconds. What will happen if the magnitude of Mx is doubled and why? Moteur Y X (avant) Z (tribord) X