A flight simulator is used to train pilots on how to recognize spatial disorientation. It has four

Question:

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. The pilot is seated so that her head B is located at r = 2i + 1j ft with respect to the center of the cab A. The cab is rotating about the planetary axis with an angular velocity of 20 rpm counterclockwise as seen from above and is increasing this by 1 rad/s2. Knowing that the cab rolls with a constant angular velocity of -4 i rad/s, determine

(a) The velocity of the pilot's head,

(b) The angular acceleration of the cab,