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The thematic is in the engineering (mechatronics) branch, with application in the mobile robotics. In the article have been examined: the mechanical energy at motion and its corresponding electrical consumption, as they define the energy effectiveness for the mechatronics system of a vehicle. There have been analysed dependencies, defined by the physics, in order to find out the demands, imposed on the construction "battery, electrical motor, gearing and drive wheels". The goal criterion is the achieved mileage with a single battery charge, which is determined by the dependencies "electrical consumption versus torque versus speed" at any actual motor type. The robot's dynamics parameters (weight, friction at movement, terrain slope, maximal speed and acceleration) appear as input data. Combinations between model parameters have been made, in order to be determined the optimal energy indicators as well as to choose the appropriate direct- current motor. This research uses a relatively small set of empirical physics coefficients and it can be used as an effortless methodology in some lecture notes on the mechatronics of a small wheeled mobile robot.

The relations between the hidden symmetries of the six-dimensional pseudo-Euclidean space with signature (+++ -- ) and the conserved quantum characteristics of elementary particles is established. The hidden symmetries are brought out by the various forms of representation of the pseudo-Euclidean space metric with the aid of spinors and hyperbolic complex numbers. Using the emerging hidden symmetry groups one can disclose such conserved quantum characteristics as spin, isospin, electric and baryon charges, hypercharge, color and flavor. One can also predict the exact number of such conserved quantum characteristics of quarks as color and flavor.

The operator of elementary particle mass spectrum is constructed on the basis of the postulate of a six-dimensional space-time manifold having a Riemann-Cartan space structure, proceeding only from its geometric properties. Special solutions found for this operator well describe the mass spectrum of the known quark triplet and hence of some baryon supermultiplets., Comment: 6 pages