Hi there argelle1!
I believe you will want to restore this iPod in order to resolve this issue, but there are some other troubleshooting steps you can try before that as well. Those steps can be found in this website:
Specifically, this is the section that refers to your issue:
- Connect iPod to power for at least ten minutes to ensure that the battery has enough charge to allow iPod to turn on.
- If iPod does not turn on after ten minutes, try resetting the device while it is still connected to power. Reset the iPod by holding down the Sleep/Wake button and the Volume Down button for at least eight seconds or until you see the Apple logo appear.
- If the Apple logo appears on the display, connect iPod to a computer and verify that it appears in iTunes and can play music. If iPod appears in iTunes and can play music, no further troubleshooting is needed.
- If the screen remains dark and will not turn on, then your iPod may need service.
Thanks for coming to the Apple Support Communities!