1
general::
hinge on/upon sth
1. If one thing hinges on another, the first thing depends on the second thing or is very influenced by it
• The prosecution's case hinged on the evidence of a witness who died before the trial., hinge on/upon sth
2. If a story or situation hinges on an idea or subject, it develops from that idea or that is the most important subject in it
• The film's plot hinges on a case of mistaken identity.
Cambridge-Phrasal Verbs