The projector cabling will first need to be disconnected. The cabling is covered with a fascia, and this will first need to be removed.
Once removed, disconnect any cables connected to the projector.
The next step is to unfasten the finger screw that is part of the mounting plate above the projector. Once removed the projector will slowly lower itself.
The projector should now be carefully lifted off its hinge, allowing it to become detached from the system.
If done correctly, you should be left with one half of the mounting still attached to the system.