Abstract
The article considers a mechanism located in a uniform field of gravity and consisting of a carrier, load, counterweight and satellite, counterweight and satellite rolling without slipping on a fixed cylindrical surface. The positions of the stable and unstable equilibrium of the mechanism are determined using the nonlinear function of potential energy. The features of changing the function of potential energy are revealed depending on the characteristics of the mechanism, including whether the radius of the satellite is rational, irrational, or transcendental.
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