Your iPod Won't Turn On" from the Apple Support
in-depth instructions for troubleshooting an iPod that won't turn on. Apple recommends that you:
1. Make sure the Hold switch is off
2. Make sure the battery is charged
3. Reset iPod
4. Let iPod's battery
5. Update iPod's software
Make sure iPod is the only device in your FireWire or USB chain.
Disconnect everything but the mouse, keyboard, and your iPod, then see
if it will turn on.
7. Make sure you are using the FireWire or USB cable that came with your iPod, and that the cable is in good condition.
8. Try connecting iPod
to the built-in port of a different computer to see if that works.
"iPod Stops Responding or Won't Wake From Sleep" from the Apple Support Site notes
that you need to "charge your iPod
, then reset your iPod" if it won't turn off or wake up.