Currently Being ModeratedOct 25, 2012 7:49 AM (in response to cbleeker)
So the iPod only powers on when connected to an external power source such as a USB port on your PC or Mac or when connected to a wall charger? If so, that is a very good indication that your iPod's battery is shot and in need of replacement.
Apple can swap it out for a flat fee or you can send it to a third party repair service for a bit less. Here is Apple's pricing: http://www.apple.com/support/ipod/service/prices/
Google for "iPod battery replacement" for third party services.