Q: How can I use a USB 3.0 HDD with PowerBook G4 12" 1 Ghz OS 10.4.11?

Is it possible to use a USB 3.0 HDD with PowerBook G4 12" 1 Ghz OS 10.4.11? I'm using a HDD with a USB 3.0 tyo 2.0 cable that came with the drive, but it has proven to be extremely unreliable...cloned my system and backed numerous files to 3 partitions on the 1 TB drive, now I can no longer access the drive at all. None off my drive utilities will even show the volumes (TechToolPro, Disk Utility, Disk Warrior, or DataRx). If I plug it into a Windows machine running Windows 7, the drive appears, and is functioning perfectly. I'd just really like to use it with my PB G4, if at all possible...thanks for the help folks...StudioBill