Cylindrical and spherical parts, clamped in mechanical systems, rotate when the system is subjected to a dynamic reciprocating environmental condition. This rotation is a combination of the clamped part high “receptance” magnification near its natural frequencies, with frictional stick-slip at the clamping contact areas, when the system is excited to a reciprocating motion not collinear with the preloading direction. Such rotation may result in wear and fatigue failures in those systems, due to the rotation and the slip motion involved. Three cases are analyzed: cylindrical pins in hinges, balls in ball bearings, and spherical vessels clamped between spherical cavities.