Shapes of a rotating rheonomic rod

The case of a rotating fluid mass is one of the classical fields of mechanics [1]. In particular, the solution of creep problems for a rotating mass is actual in geophysics in connection with Earth gravity force simulation on rotating samples under laboratory conditions [2]. A special case of a rheonomic rod in a potential field was studied in [3], where it was shown that the main problem about the rod shapes is the problem of determining the relations between the Lagrangian and Euler coordinates in the creep process. In what follows, we show how this problem can be solved for a rotating rod.