Hello!
For some clarification...
When you start up the machine in OS X, you get the Apple logo (dark grey on light grey) and a spinning gear/wheel icon. It then shuts down (power loss, black screen)? Does it ever freeze there? Does it ever get to the blue screen and freeze there?
Technically you're not at the point of the OS but rather you're in hand off phase between the firmware start up sequence and the OS.
Do you have access to the system restore discs that came with your machine? If so, I'd recommend inserting disc one and booting to it (hold the C key on startup). Run Disk Utility and verify the integrity of the disc, then try to restart. If that is still unsuccessful then the next step might be considering an Archive & Install.
http://support.apple.com/kb/HT1710