My ipod randomly shut off and wont turn back on, also, my lock button is broken. i tried plugging it in so that it will turn back on but that doesnt work either. Its still off....

SOURCE: Ipod nano 3rd gen.

First make sure your hold switch isn't on. It's on the top or bottom and slides back and forth. It needs to be switched to the left. Once it is to the left, here's how you reset:

You can reset your ipod by holding down the menu and select (round button in the center) buttons down for at least 10 seconds. You'll see an apple logo flash, that's when you stop pressing the buttons. It will shut off, then back on.

SOURCE: 30 GB Ipod not shutting down

hey thanks for tip (menu + center button) solve my problem when my ipod video (30gb) hanged...

SOURCE: ihome ih9 wont work with 3rd generation ipod nano

Look at the Box and the Manual! 3rd Generation is not supported by iH9! Clearly marked on the Manual.

SOURCE: itouch screen is white then, when restored goes black.

make sure u hold down home and sleep buttom for more than 11 seconds. After the allple logo shows up, press the home button...i had similiar problems as some of u, and this unfroze/ fixed my issue. Hopefully, it will work for u

SOURCE: I resarted my iphone and now it wont turn back on,

It's not broken. You need to do as I tell. Make sure to count every second.
First, hold the power button (the only button on the top-right corner of your iPhone.
Then, after just a second (literally, 1 second), press and hold the Home button (the only button on the face of your iPhone) at the same time for about 10 seconds. Just to clarify, you must be holding both the power and the Home button during this 10 seconds.
After that, release ONLY the power button and keep holding the Home button for about 10 to 30 seconds longer, until you see this image:


This means your iPhone is already in DFU mode and iTunes from your computer can recognize it already. This also means that you can restore your iPhone and make it operational again.
Now, when you restore, I suggest that you restore to 3.1.2 and not to the latest 3.1.3 software version, so it can be possible for you to jailbreak your iPhone.
And to restore to 3.1.2, here's what you gotta do:
Click here where you will see 2 selections: (1) iPod; and (2) iPhone / iPod touch.
Focus on iPhone / iPod touch and select iPhone 3G (3.1.2/7D11) or iPhone 3G S (3.1.2/7D11) - depending on whether your device is a 3G or a 3G S - and then click download. Tip: it's better if you save it on your desktop.
After the download is finished, open iTunes from your computer, and select your device. You should see the restore button there but before you click it, you must first, hold Alt (or Option) if your using a Mac, or CTRL if your using Windows. This will let you choose what software version you want to restore your iPhone with. So, you must select the one that you just downloaded and click restore.
That should do the trick.