Abstract
In the paper four examples of two-dimensional and three-dimensional material systems, in which some of constraints were suddenly removed, are analyzed. A simple structure consisting of two ropes and a particle, a spatial structure consisting of three weightless ropes and a particle, and a beam suspended on two ropes and a circular shield, also suspended on two ropes, were analyzed. In all cases one of the ropes was suddenly cut. Solutions were obtained by the analytical method, using the properties of the instantaneous center of acceleration. The obtained results are illustrated by diagrams of accelerations, angular accelerations and forces acting in the considered systems.
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