Abstract
In the proposed cycle of work, we study the equations of motion of dynamically symmetric fixedn-dimensional rigid bodiespendulums located in a nonconservative force fields. The form of these equationsis taken from the dynamics of real fixed rigid bodies placed in a homogeneous flow of a medium.In parallel, we study the problem of motion of a free n-dimensional rigid body also located in a similarforce fields. Herewith, this free rigid body is influenced by a nonconservative tracing force; under actionof this force, either the magnitude of the velocity of some characteristic point of the body remains constant,which means that the system possesses a nonintegrable servo constraint. In this work, we studythat case when the force fields linearly depend on the tensor of angular velocity.
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