Question: Does anyone know of a good freeware application where I can convert a full VOB file into a MPEG file. All of the applications I have found are trial versions and will only convert a part of the video.

I just need to convert one VOB, do not plan on using it long term.

Answer: 
VOB files are already in mpeg format as described [on wikipedia](http://en.wikipedia.org/wiki/VOB). You can just rename them to .mpg. You might need to set windows to "show file extensions for known file types". If you copied this file from a DVD that used some sort of encryption (most DVD's do) you will first have to decrypt the DVD using tools described on doom9.org.
I think that [Avidemux](http://avidemux.sourceforge.net/) can fit your needs.

Here's a recent how-to to convert your .VOB file to AVI (remember that AVI is just a container) : [Avidemux VOB to AVI](http://silverwav.wordpress.com/2010/04/19/avidemux-vob-to-avi-lightning-fast/)