The field of mechanics in physics explains inertial forces as pseudo forces, where the effects on objects mimic actual forces. In engineering, dealing with the effects of inertial forces and torques on rotating objects with complex motions is a specialized area. Challenges arise in science and practice because of the intricate relationship of inertial torques, making some problems unsolvable. A new study on the dynamics of rotating objects reveals that the interconnection of inertial torques is more complex. Evidence supporting this claim is the deactivation or nullification of gyroscopic inertial forces. The interplay of external and inertial torques, generated by the masses of spinning objects, demonstrates a sophisticated and interconnected relationship. This chapter explores the use of cause-and-effect relationships to analyze the effects of the set of inertial and external torques on spinning discs. The study found that the kinetic energies of gyroscope motions have two independent sources that are interrelated and manifest gyroscopic effects. The specificity of the originating of the inertial torques is described in this chapter and discovered their action in gyroscope motions. As a result, the study formulates the dependency of angular velocities for gyroscope motions around axes and proves the equality of their energies about two axes based on the principle of mechanical energy conservation. These inertial torques and the dependency of angular velocities for gyroscope motions constitute fundamental principles of gyroscope theory.

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Properties and Specificities of Gyroscopic Torques

  • Ryspek Usubamatov

摘要

The field of mechanics in physics explains inertial forces as pseudo forces, where the effects on objects mimic actual forces. In engineering, dealing with the effects of inertial forces and torques on rotating objects with complex motions is a specialized area. Challenges arise in science and practice because of the intricate relationship of inertial torques, making some problems unsolvable. A new study on the dynamics of rotating objects reveals that the interconnection of inertial torques is more complex. Evidence supporting this claim is the deactivation or nullification of gyroscopic inertial forces. The interplay of external and inertial torques, generated by the masses of spinning objects, demonstrates a sophisticated and interconnected relationship. This chapter explores the use of cause-and-effect relationships to analyze the effects of the set of inertial and external torques on spinning discs. The study found that the kinetic energies of gyroscope motions have two independent sources that are interrelated and manifest gyroscopic effects. The specificity of the originating of the inertial torques is described in this chapter and discovered their action in gyroscope motions. As a result, the study formulates the dependency of angular velocities for gyroscope motions around axes and proves the equality of their energies about two axes based on the principle of mechanical energy conservation. These inertial torques and the dependency of angular velocities for gyroscope motions constitute fundamental principles of gyroscope theory.