Abstract

This paper considers a mechanical system consisting of two bodies with masses and interacting via a rigid rod mounted pivotally to each of these bodies, allowing for their relative rotational motion. It is shown that the complex translational relative motion of bodies and the mechanical system generate the central dynamic gravitational field of the two-mass mechanical system, which exerts an effect on this system equivalent to an external force. Based on D’Alembert’s principle and the constraint axiom for relative inertial forces, equations of motion are derived for each of the bodies and. It is shown that time in the proper frames of reference of these bodies and in their center-of-mass reference frame flows differently compared to time in a fixed laboratory frame of reference and depends on the mass ratio of these bodies.

Keywords:Two-mass problem; Equations of Motion; Complex Translational Relative Motion; Dynamic Gravitational Field; Relativity of time; Momentum Transfer rate

Root Pressure

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