Solution of the problem of oblique impact of bodies: Impact models for rough bodies (Q1326154)

The impact of rough bodies is one of the most complicated phenomena in mechanics; this explains why not more than a score of researchers have worked on the problem in the last two centuries. In the present article, Routh's model of noncentral impact of rough rigid bodies and corresponding engineering calculations are analyzed. On the bases of a theoretical model and experimental results it is shown that Routh's model cannot be applied derectly to engineering calculations, but the Routh's \(P_ n - P_ t\) diagram is useful for classifying types of noncentral impact. For noncentral impact planar motion, nine cases are considered, in which different combinations of interactions take place.