Q: I bought an ipod 5th generation. It won't charge or turn on.

Not Charge

- See:      

iPod touch: Hardware troubleshooting

- Try another cable. Some 5G iPods were shipped with Lightning cable that were either initially defective or failed after short use.

- Try another charging source

- Inspect the dock connector on the iPod for bent or missing contacts, foreign material, corroded contacts, broken, missing or cracked plastic.

- Make an appointment at the Genius Bar of an Apple store.

Apple Retail Store - Genius Bar                          

also:

Try:

- iOS: Not responding or does not turn on

- Also try DFU mode after try recovery mode

How to put iPod touch / iPhone into DFU mode « Karthik's scribblings

- If not successful and you can't fully turn the iOS device fully off, let the battery fully drain. After charging for an least an hour try the above again.

- Try on another computer

- If still not successful that usually indicates a hardware problem and an appointment at the Genius Bar of an Apple store is in order.

Apple Retail Store - Genius Bar