A Boeing CH-47 Chinook helicopter is shown. This helicopter was first produced in 1962, is still in production, and it sees extensive military and civilian use worldwide. The rotors counter-rotate so that a vertical stabilizing rotor is not needed. The rotor forces FA and FB lie in the xy plane where αA and αB are angles about the ´ axis. Forces FC and FD are due to the thrust from the engines, and they act in the y direction. Forces QA and QB are lift forces from the rotors, and they act in the ´ direction. Moments MA and MB are due to rotation of the rotors, and they act in the ±z direction. Points A–D lie on the lines of action of the forces and moments (point D is on the opposite side of the helicopter and is not seen in this figure), and these points have the coordinates given below. If the forces, moments, and angles have the values given below, determine an equivalent force system acting at the origin of the coordinate system, point O.
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