A gyroscope with a single degree of freedom is shown in Figure P3.27. Gyroscopes sense

Chapter 0, Problem P3.27

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A gyroscope with a single degree of freedom is shown in Figure P3.27. Gyroscopes sense the angular motion of a system and are used in automatic flight control systems. The gimbal moves about the output axis OB. The input is measured around the input axis OA. The equation of motion about the output axis is obtained by equating the rate of change of angular momentum to the sum of torques. Obtain a statespace representation of the gyro system.

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