You will find a list of the file types acceptable to Dropbox here. Since both .mov and .mp4 are on that list and they are standard OS X/MacOS formats there are a variety of standard apps that can produce those formats including Photos, iTunes, iMovie, etc. If you have to convert the video I have had good results with Free DVD Ripper but there are a bunch of alternatives on the App Store.

CAUTION: If this DVD is DRM protected, you may run into conversion problems.
WARNING: If the DVD is copyright protected and you do not have written permission from the publisher and artist to copy it, you could run into legal problems from Dropbox, the publisher of the DVD, industry organizations, even federal authorities. In that case, you might want to have an attorney on retainer.


If we knew what it was we were doing, it wouldn't be called research, would it?

— Albert Einstein