A flight simulator is used to train pilots on how to recognize spatial disorientation. It has four degrees of freedom, and can rotate around a planetary axis as well as in yaw, pitch, and roll. Knowing that the simulator is rotating around the planetary axis with a constant angular velocity of 20 rpm counterclockwise as seen from above, determine the angular acceleration of the cab if (a) the cab has a constant pitch angular velocity of +3 k rad/s, (b) the cab has a constant roll angular velocity of −4 i rad/s.

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Planetary aw axis Roll