With Rodney King it was (state) assault and (federal) civil rights violations (to be free from unreasonable force, to be safe while in custody, and not to be punished without a trial).
One can then ask, if the cops were found not guilty of the first, then how can they be guilty of the second? Easy. The federal jury only has to reject the findings of the state jury.
IMO, this is double jeopardy. Simply calling the act (the beating) two different offenses doesn't make it so. The cops were railroaded.
Also, I think if they were found guilty in the first trial, the second, federal, trial would never have been called.