You will have to use rotating frames for this analysis. Therefore, you will have to specify: The value of for the system. The value of wxyz The angular momentum of the system about G: and the time change thereof: . Of course, you will have to draw a FBD and a KD. Problem 2. Motion-based flight simulators can help train pilots to recognize situations in which they may become disoriented. The simulator shown below has four degrees of freedom and can rotate 360 degrees about the planetary, roll (x), yaw (y) and pitch (z) axes. The principal axes are aligned with the xyz axes in the figure. The moments of inertia of the gondola and the gimbal are Ix = 400 slug. ft, I = 450 slug. ft, Iz = 900 slug. ft. At the instance shown, the motions of the gondola are as follows: It is rolling at a constant angular velocity of 30 rpm, At the same time, it is pitching at an angular velocity of 20 rpm, which is increasing at a rate of 90 deg/s. All other rotations of the systems are suppressed. Determine the dynamic loads at the roll gimbals (i,e the forces shown in the free body diagram below). Note: dynamics load implies 'reactions due to dynamic motion'. Therefore, ignore the effect of static forces like weight. Planetary axis Yaw B Roll Pitch By 8 ft x B. Check your solution: By = 176.71 lb, Bz = 781.34 lb, Ay = -176.71 lb, Az = -781.34 lb