Gyroscopic moment

Gyroscopic moments Drive torque Cyclic forces Oscillating torques... 

It is well known that the tilt of a rotor axis induces gyroscopic moment, and the gyroscopic moment can be used to control the rolling motion of the... 

Nishihara, O. Matsuhisa, H. and Sato, S. Methods for Designing Vibration Control Mechanisms with Gyroscopic Moment. Proc. Asia.-Pacific Vibration Conf 1 (1991), pp. 3.56-3.61... 

English theory of gyroscopic projectile flight was modified to take into account the variation of air resistance and the moment of this force with the "yaw or obliqueness of a projectile in flight (Refs 1 8c 2)... 

When exposed to a static magnetic field B0, a spinning nucleus behaves like a gyroscope in a gravitational field. As illustrated by Fig. 1.2, the spin axis - which coincides with the magnetic moment vector p - precesses about B0. The frequency of precession, v0, is known as the Larmor frequency of the observed nucleus. 

Another angular momentum mass flowmeter was attempted using the principle of a gyroscope. It consisted of a pipe shaped in the form of a circle formed in a plane perpendicular to the direction of the process flow. If this pipe is oscillated around one axis, a precession-type moment is produced about the axis perpendicular to it, which is proportional to mass flow. The gyroscopic mass flowmeter can handle slurries in medium pressure and temperature ranges, but its industrial use is very limited because of its high cost and inability to handle high flow rates. 

PROBLEM 2.4.25. A ship with deadweight 50,000 metric tons is stabilized by a gyroscope of mass 5.1 tons and a diameter of 1.8 m, rotating at 1800 Hz. Calculate its moment of inertia and kinetic energy. 

Brownian Motion of a Rigid Body. Many molecules of interest are extended in three dimensions with three principal moments of inertia of comparable size. Gyroscopic forces complicate the discussion of Brownian motion for such bodies and a number of workers have developed convenient formal treatments without much physical novelty emerging. Steele has given a clear treatment of this problem, but obtains tractable expressions only for spherical-top molecules, which have the same moment of inertia I about all axes through the molecular mass centre, so that the Euler equations of motion fall apart in independent variables. 

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