The Equivalence of Two Classical Problems of Free Spinning Gyrostats

[+] Author and Article Information
R. E. Roberson

University of California–San Diego, La Jolla, Calif.

J. Appl. Mech 38(3), 707-708 (Sep 01, 1971) (2 pages) doi:10.1115/1.3408879 History: Received October 15, 1969; Revised October 23, 1970; Online July 12, 2010


Two problems of a torque-free body with a fixed point are considered. In both the body is rigid but for an internal rotor symmetric about its axis of rotation. In one the rotor is driven at a constant angular velocity, in the other the interaction torque between body and rotor has a zero component on the axis of relative rotation. The dynamical equations are shown to have exactly the same structure. A brief literature summary on the torque-free gyrostat is appended.

Copyright © 1971 by ASME
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