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What is the exact model of the iPod ?
Please identify your exact iPod model from here and let me know, so I can send you correct instructions to fix it --> https://support.apple.com/en-us/HT204217
Since it is not booting, it indicates that the the iPod's firmware is corrupted. You have already tried to reset it and since that didn't work we will have to restore the iPod from iTunes on your computer by putting it to Disk Mode.
First download and install latest iTunes on your computer from here --> http://www.apple.com/itunes/download/
After installing iTunes, open iTunes and connect the iPod to your computer with the USB cable. Then follow the steps below to put your iPod to Disk Mode.
See this article --> https://support.apple.com/en-us/HT201544
After putting it to Disk Mode, iTunes will ask you to restore it. Click Restore and let it complete.
Please let me know if that didn't work, so we can continue troubleshooting.
It is the hold switch at the top.
Can you disconnect it from your computer and try to put it to Disk Mode ?
See this video --> https://www.youtube.com/watch?v=EVxUlsmVGU4
We need to get it to Disk mode then only iTunes will see it to restore it.
Please repeat the steps 2 and 3 and it should go in to Disk Mode.
Great ! Connect it to your computer and open iTunes. Does it recognize it now ?
Cancel that message. Open ITunes and do you see the iPod's icon at the top left ?
Did you get that message you clicked Restore button in iTunes ?
Do you see iPod disk in Finder ?
Lets force the iPod to go into DFU (Device Firmware Upgrade) mode and this should allow iTunes to restore it.
Connect the iPod to your computer and open iTunes. Then press and hold the Menu and Center buttons for 10-20 seconds and this will put it to DFU Mode. In DFU Mode, it will be blank. Does iTunes recognize it now ?
Did you get my last message re DFU Mode ?
Unfortunately I'm also working with other clients in here, so I will not be able to call you. The HDD of your iPod is corrupted. That is why it is not booting up. We need to restore the iPod.
Can you do these steps please ?
Do you have a Windows computer there ?
Lets format it manually. Put it to Disk Mode and your computer will show the corrupted message. Cancel it.
Then go to Applications > Utilties folder and open Disk Utility. Do you see the iPod in the left column of Disk Utility ?
Didn't you get this error like before "screen appears and says OS X can not repair disk on Jerry Deverell's iPod" ?
Is there any way to get access to another computer ? I know it doesn't make any sense, but sometimes restoring from another computer will work (iTunes of that computer might recognize it)
Ok, meantime you should keep trying. You will be able to restore it the moment iTunes recognize it. If you can see the iPod in Disk Utility, select it and click Erase. Make sure Mac OS Journaled (Extended) is selected before erasing it. After erasing, check iTunes and see if it recognize it.
If it still not working, then that means the HDD of your iPod has failed. I'm really sorry that I couldn't solve your problem. If you are not satisfied with my service, please don't rate me bad or poor. You don't have to rate anything if you are not satisfied.
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You're most welcome !