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The torque M acting on the gimbal of the gyroscopic turn indicator is exerted by a torsional spring so M kβ The precession rate Ω2 is a specified function of time and the spin rate Ω1 is held


The torque M acting on the gimbal of the gyroscopic turn indicator is exerted by a torsional spring, so M = −kβ. The precession rate Ω2 is a specified function of time, and the spin rate Ω1 is held constant by a servomotor. Let I1 denote the moment of inertia of the flywheel about axis AB, and let I2 be the centroidal moment of inertia perpendicular to axis AB. Derive the differential equation of motion for β.

 

 

 

 

Jun 16 2020 View more View Less

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