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To constrict the movements of a person or animal with rope. A noun or pronoun can be used between "rope" and "up." The shopkeepers managed to subdue the would-be robber and roped him up until the police arrived. They had a competition to see who could catch and rope up a greased pig the fastest.
rope someone or an animal up
to tie someone or an animal up with a rope. Rope this guy up tight so he won't get away. The cowboy roped up the steer.