If they are non-commercial DVD's then the program Handbrake does a very good job of converting DVD formatted footage to MP4 that will play on the iPad. (FOr example getting those home movies portable)
For commercial DVD's it may simply be easier to purchase copies from iTUnes or another site, or to subscribe to a streaming service.
If you are talking about movies/shows that you bought on dvd:
Found in one of those links: "So while it may well be fair use for an individual consumer to store a backup copy of a personally owned DVD on that individual’s computer, a federal law has nonetheless made it illegal to manufacture or traffic in a device or tool that permits a consumer to make such copies,"
I think the sue was against the makers of a program that circumvented the dvd copy protection, not about private persons making personal copies of their dvds.
Personally I have made copies of my dvds and cds, and store them on my computer. No one should have a saying about what I do with stuff I have paid for, as long as I don't harm anyone or any company by doing it.
I would not share those copies on a public network as a torrent or similar, as it _would_ harm the producers of the movies and music I like.
Given section 2.8.2 of the site's Use Agreement that question should be neither asked nor answered.
Do not submit software or descriptions of processes that break or otherwise 'work around' digital rights management software or hardware. This includes conversations about 'ripping' DVDs or working around FairPlay software used on the iTunes Store.