1590s, "with strings relaxed" (of a harp, etc.), from un- (1) "not" + past participle of string (v.). Transferred sense of "weakened, unnerved" is recorded from 1690s.
the incident left him unstrung and incapable of rational effort
unstinting
unstop
unstoppable
unstressed
unstring
unstrung
unstuck
unstudied
unsubscribe
unsubsidized
unsubstantial