First, thank you for your help, I greatly appreciate it.
Let me just summarize so far in order what I've done,
Summary of failure;
Power strip on. I hear the relay in the computers power supply click on then off.
Push power button: it lights up while I'm holding it but it does not stay lit...
I have a Power Mac G5 Desktop 2Ghz- M9032LL/A serial number XB4060FBNVS. I bought it June 26 2004.
I use a power strip that I turn off after the computer shuts its self down.
The failure mode that has occurred before and now seems permanent is:
Power strip on. I hear the relay in the computers...