iPod nano 2nd generation won't turn on or charge?
iPod nano just stopped working..won't charge or turn on, is battery dead?
iPod nano
Considering the iPod is a 2G Nano (i.e. it's quite a few years old), it's very likely that the battery for it is shot. You can have it serviced by Apple or a 3rd party repair site if you would like to continue using it though.
B-rock