Abstract
This new study on effects of gyroscope demonstrates the action on the spinning disc that the eight interrelated inertial torques system generated by its rotating masses. The physics behind this inertial torques manifest the action of the resistance and precession torques, which physics are described and explained. The latest research on the gyroscopic properties revealed the deactivation of the inertial torques that contradicts the principles of classical mechanics. Practical tests of the blocking of the gyroscope motion around one axis displays the deactivation of inertial torques acting around the axis of the load torque. In this condition, the gyroscope with one side support turns down under the action of its weight and frictional forces produced by the action of the precession torque and weight of the movable components. The precession torque is presented by the change in the angular momentum, while other inertial torques is deactivated. These phenomena present the new unknown gyroscopic effect that needs a deep study and explanation. This work considers the attempt to describe the physics of the deactivation of the gyroscopic inertial torques around two axes and the action of the precession torque in a case of the gyroscope motion around one axis. Key words: Gyroscope theory, inertial torque, deactivation of inertial torques
Highlights
Beginning from the eighteen century, gyroscopic problems were studied by famous, outstanding, and ordinary scientists that developed separate mathematical models for the action of inertial torques which manifest gyroscopic effects
Numerous published articles dedicated to gyroscopic effects contain simplifications, assumptions, and corrections of the mathematical models with the aim to get results that should match with practical tests (Armenise et al, 2010; Deimel, 2003; Greenhill, 2010; Scarborough, 2011)
Jx d x dt where ωx is the angular velocity of the gyroscope around axes ox; Jx is the mass moment of inertia of the rotating components of the stand; T is the resulting torque generated by the weight of the gyroscope components, Tct.x, Tcr.x, are inertial torques generated by the centrifugal, Coriolis forces acting around axis ox; Tfx = TfA + Tfm is the frictional torques acting on gyroscope’s supports; TfA is the frictional torque generated by the weight of the gyroscope components and acting on the supports; Tfm is the frictional torque acting on the supports generated by the centrifugal forces of the centre of mass; Tfpx = Tfin.y + Tfam.y is the frictional torque generated by the precession torques acting around axis oy
Summary
Beginning from the eighteen century, gyroscopic problems were studied by famous, outstanding, and ordinary scientists that developed separate mathematical models for the action of inertial torques which manifest gyroscopic effects. Their analytical approaches could not describe their physics on a full scale.
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