Study of complex motion of a plane point at rotation of a supporting body

Abstract

The paper studies the kinematic characteristics of the complex motion of a point under the rotation of a supporting body. The trajectory of the point performing complex motion is obtained, and the graphs of changes in absolute velocity, absolute acceleration of the point and their components in time are obtained. The solution of the problem was carried out in Mathcad package, for which the problem formulation and solution was carried out by the matrix method. The use of the mathematical package allowed us to take chronograms of the processes of relative motion of the point, translational motion of the body and absolute motion of the point.