From what I know, you should forget about OS X and try to get it to work in OS 9. OS X 10.1 is not the most stable of OS's, and could be a part of the problem.
If this is a logic board issue, sometimes waiting overnight will allow it to start up again.
Try starting up from the OS 9 Install CD by putting the bootable OS 9 CD in the drive tray and holding down the c key during startup. Then use Disk First Aid to repair the hard disk. It may be possible then to try installing OS X again. Because it was shut down in the middle of an OS X Install, it is probably incapable of starting up in OS X right now, but you can try if you like by holding down the x key during startup.
Any time you have to do an emergency shut down, damage to the hard drive can happen and you should run Disk First Aid from the OS 9 Install disk to repair your hard drive. Have you
updated to OS X 10.1.5? Have you downloaded the
Repair Privileges Utility and used it? If not, you may need to do this to increase the stability and usability of OS X 10.1.