A 6-pages guide to Distinguished Limits and Vibrogenic Forces, exposed by Newton's Equation.

In this paper, we use the Newton's equation with a time-oscillating force for the clarifying the basic ideas of Vibrodynamics and two-timing method. Our treatment is simple but general. The central targets are the use of the \emph{distinguished limit} and \emph{the universal appearance of a vibrogenic force}.The aim of the distinguished limit procedure is to established a closed system of averaged equations. We show, that the number of distinguished limits and related averaged equations is infinite. Their common part is the universal vibrogenic force, which (for different distinguished limits) appears in the averaged equations of different orders. The current state-of-the-art in this area is: a number of particular examples are well-known, but the presented general and simple/clarifying treatment is novel.