bound up, involved, wrapped up

from The Collaborative International Dictionary of English v.0.48

committed \committed\ adj.
   1. Bound or obligated, as under a pledge to a particular
      cause, action, or attitude. Opposite of {uncommitted}.

   Note: [Narrower terms: {bound up, involved, wrapped up};
         {dedicated, devoted}; {pledged, sworn}]
         [WordNet 1.5]

   2. Associated in an exclusive sexual relationship; also
      called {attached}. Opposite of {unattached}.

   Note: [Narrower terms: {affianced}, {bespoken}, {betrothed},
         {engaged}, {pledged}, {promised}(predicate); {married}]
         [Also See: {loving}.]

   Syn: attached.
        [WordNet 1.5]

   3. Consigned involuntarily to custody, as in a prison or
      mental institution.
      [WordNet 1.5]