How can I take iPod video from one computer and put it into another computer?

First you need to find the file to copy it (usually in My Documents\My Music\iTunes Library if you use Windows). Then after you copy it you have to 'authorize' iTunes on the second computer using the same account you purchased the video with. You can authorize up to 5 computers to play your purchased vides.

ah the way you phrased the question is extremely confusing.

Do you mean you want to download a video off itunes that you put on your shuffle?

I doubt the shuffle will be able to do that, since it doesn't support videos, you might not be able to do so in the first place.

You can't sync your Ipod with numerous machines, no.

Now, you can play the files on your 2nd machine, but you can't copy the files to that local machine's hard disk(s).

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