Pretty much all disc drives that have been produced in the history of disc drives come with a little pinhole where you can stick in a paperclip to manually push the opening mechanism exactly for this kind of scenario, so you can recover your disc if your computer or drive fails.

Except Apple computers, of course, because such a useful piece of functionality would be ugly and an abomination unto Saint Jobs, or something. So I had to spend a few hours opening up that MacBook that very clearly wasn't designed with "opening up" in mind. I was lucky this machine wasn't in warranty and dead, so putting it back together wasn't really a concern.