The term 'the end of one's rope' is a phrase used to describe a situation in which someone has reached their limit and can no longer cope. This phrase can be represented by two crossword solutions: LASSO (5 letters) and NOOSE (5 letters). A LASSO is a loop of rope that is used to catch animals or people, while a NOOSE is a loop of rope that is tied in a knot and used to hang people. Both of these terms are associated with the idea of being at the end of one's rope.