Glen, It sounds like you power supply has crapped out on you. It is a switching power supply, and it has several different voltages it produces. You'll have to disassemble the cover to the machine, get the part# off of the power supply,or even just the model of the computer, and Google for a replacement. You can get a replacement with a higher power rating (ie 650W) and will (hopefully)last longer. What does the power supply look like? It's the grey box your power cable is plugged into and has 2-3 colorful wiring harnesses coming out of it.1-2 harnesses plugs into the motherboard, the other(s) plug into hard drives, cd/dvd drives, ect.It's not hard to do!
If you feel overwhelmed by all of this, you're gonna have to go to town!
(edit-04/17/09 2:55) Glenn, what is the make and model of your computer?That information would be most helpful in diagnosing your problem.
Usually, you can Google the make/model number with the problem and it will come up with several forums that are discussing the very symptoms and the fixes found for your model computer. Alot of these sites have "resident" experts that moderate them. This is just a suggestion, if you don't figure it out from prior suggestions mentioned in this thread. By your description of the symptoms you describe above, experience tells me power supply problem. If your monitor doesn't display anything except loss of sync on its display,and nothing such as the video card bios info, the motherboard is missing an essential voltage to power up the processor, and/or the video card. If the memory was missing/inoperable, the on-board buzzer would scream at you. If its not beeping/screaming , you have no voltage for it either! When a power supply fails,like Randy said, it just happens.No warning signs.A whole new day! Well, what do I know anyway.