The present article is focused on the study of the swaying motion of a payload during non-uniform guided slewing of a crane boom with an emphasis on the Coriolis effects. A new mathematical model of the motion of the mechanical system ''guided crane boom-payload'' has been derived with an introduction of Blajer's projection method. The governing dynamic system has been shown in the form of an implicit system of differential-algebraic equations. A time-optimal control problem has been formulated for the guided system with an open-loop control and with explicit limitations on payload swaying and on the control input. The numerical solution of the posed optimization problem has been found with an introduction of Optimica and JModelica.org freeware. Verification of numerically derived results has been realized through the comparison of computational and experimental absolute trajectories of a swaying payload. A satisfactory agreement between theoretical and experimental results was found. A dynamic analogy between the governing system of equations and Foucault pendulum-like systems was found and outlined. The proposed open code algorithms, derived numerical data and computational plots enhance and expand our knowledge about the dynamics of guided boom-driven payload swaying during rotary crane boom slewing.

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Graduate students of technical universities have practical difficulties with learning and successful instructional implementation of the fundamentals of engineering didactics. The paper is focused on the formulation of a thought-provoking curriculum with computational assignments for the course of “Technical University Pedagogic and Methodological Foundations of Engineering Education” (TUPMFEE) for graduate and Ph.D. students. The paper uses computational modelling of behavioral processes in socio-educational systems. The TUPMFEE-curriculum teaches future engineers to apply computational techniques to modeling of socio-technical phenomena. The author-formulated and a computer modeling-supported metaphor for the psycho-educational effects of high social pressure impact on student learning dynamics was allegorically visualized using mechanical rolling stress distribution for the nonlinear social process of student knowledge acquisition during instructor-enhanced education with description of some successive forgetting of the previously acquired instructional material upon the studied course completion. The author-proposed TUPMFEE-course successfully triggers graduate students’ interest in both social, mechanical and computer sciences.

Energy is a scalar physical quantity, which is a single measure of various forms of motion and interaction of matter, a measure of the transition of matter from one form to another. One of the reasons that energy is so difficult to describe is that it can take many forms, and not all of them are easy to understand. In any of these cases, there are exact formulas that describe the energy stored in the system and well-defined ways to measure it.Energy is a special quantity of great importance to physics. The reason for this importance is that it is "preserved." Why is the energy saved? Because of the mathematical principle, correlating the fact that the laws of nature do not change over time, with the existence of a conserved quantity, which we by definition call "energy".The general formulation of the law of conservation and transformation of energy: in all phenomena occurring in nature, energy does not arise and does not disappear, it only turns from one species to another, while its value is