System Forces in the Mathematical Model of Yarn Unwinding

Abstract

The origin of the system forces in equation of motion for yarn is discussed in this paper. We are presented the rotating reference frame is non-inertial and the equation of motion therefore contains three kinds of system forces. In this paper we show how these forces enter the equation of motion for yarn in a rotating reference frame. In addition to the Coriolis and the centrifugal force, there is another fictional force in rotating frames with the dependent angular velocity. We will describe the properties of this force and its effects on dynamics of unwinding yarn.