Aw, no Rolf, it isn't lame - why would you know how if you've never had to do it before?
It's either your fan, your connections, or your power supply. If it's your connections, here's how to check them:
I'm guessing you have a standard kind of upright rectangular case. Just take a screwdriver and go to the back of the case. There should be six to eight screws holding the case on. Unscrew them and keep an eye on where they go. The top of your computer may come off in a reversed "u" shape, or a panel may slide off the side, usually the left side as you're looking at the front of the computer. Just jimmy the box once the screws are off and see.
All you need to do at this point is to doublecheck that everything that's currently connected is still in place. Just make sure everything that's already pushed in is pushed in pretty firmly. If you have lots of dust in the case and the fan, blow or flap it out with a dry towel. Put your case back on, put the screws back in, and try to start it again.
If it doesn't start, at this point, given it's the first time you've popped the box, you might save yourself time and money by just taking the thing in to your local friendly tech geek. Most of those small local shops selling mobiles and chipped Wiis can help you out. They tend to be really helpful about this sort of thing, particularly if you mention that you don't want to go PC World to be fleeced. ;) If it's your fan, you could easily replace it yourself... but if it's your power supply, it's probably something you don't want to mess with right now.
Anyway, let me know how all of this works out - I'm curious now!