General kinetostatics and analytical methods are presented in this paper fo
r solving the impact problem. The kinetostatics approach is obtained by usi
ng the mechanism of D'Alembert's principle in the impact process. This appr
oach uses the likely statical equilibrium equations to solve the dynamical
impact problem. On the basis of kinetostatics, using the analytical dynamic
s method, the general dynamical equation and analytical equations for the i
mpact problem are deduced. Examples of the impact problem from existing mec
hanics literature are solved to illustrate the merits of the methods presen
ted in this paper. It is shown that the methods examined in this paper in s
olving the impact problem are simple and convenient, especially for complex
systems with multi-freedom. (C) Elsevier, Paris.