First off however you should know that HandBrake is about video conversion, not stripping copy protection, so you won’t be able to rip most commercial DVDs – at least not without a third party tool like AnyDVD or the like anyways. It also supports DVD decryption through VLC on OS X and libdvdcss on Linux. Legal issues aside, converting videos with HandBrake is a fairly simple process: just select a source, then set up the output file and encoding settings (you can choose from a number of presets). Moreover, as of version 0.9.3, HandBrake is not just for DVDs any more as it can now take practically any type of video as a source.
This open source application is well worth a look if you want your purchased DVDs available on your laptop, iPhone or other similar device. You can download it here or check more details, such as a list of features and walkthrough information, on their website.