I don't think there's any way to use one backup database for two computers. I mean, conceivably you could change both computer names to the same one but that's not recommended. If you are planning on backing up two or more computer systems and don't want to have to keep disconnecting/reconnecting the drive repeatedly, you should look into a Time Capsule or some kind of network backup that both systems can access without having to remain directly connected through USB or FireWire at all times.