The fl ight simulator is mounted on six hydraulicactuators connected in pairs to their

Chapter 7, Problem 7/37

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The flight simulator is mounted on six hydraulic actuators connected in pairs to their attachment points on the underside of the simulator. By programming the actions of the actuators, a variety of flight conditions can be simulated with translational and rotational displacements through a limited range of motion. Axes x-y-z are attached to the simulator with origin B at the center of the volume. For the instant represented, B has a velocity and an acceleration in the horizontal y-direction of 3.2 ft /sec and \(4 \mathrm{ft} / \mathrm{sec}^{2}\), respectively. Simultaneously, the angular velocities and their time rates of change are \(\omega_{x}=1.4 \mathrm{rad} / \mathrm{sec}, \dot{\omega}_{x}=2 \mathrm{rad} / \mathrm{sec}^{2}, \omega_{y}=1.2 \mathrm{rad} / \mathrm{sec}\), \(\dot{\omega}_{y}=3 \mathrm{rad} / \mathrm{sec}^{2}, \omega_{z}=\dot{\omega}_{z}=0\). For this instant determine the magnitudes of the velocity and acceleration of point A.