The dynamics of a rigid rotor supported on a flexible circular plate is investigated and it is shown that the arrangement is capable of operating as a tuned free rotor gyroscope. The performance characteristics of the gyroscope are evaluated and the analysis shows that the steady displacment of the rotor may be used to measure either the angular velocity or angular displacement of the supporting casing. For both modes of operation the free motion and the response to a constant rate and a vibratory input is determined.

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