The symptoms of my hard disk's problem were noted on my previous post.
The solution was provided by the Ubuntu Documentation Project itself.
1. I booted my Ubuntu Installer, which was the LiveCD I got which I ordered from Canonical.
2. I proceeded to add the repository of the Ubuntu Rescue CD Remix to get the necessary tools to get the job done.
$ sudo gedit /etc/apt/sources.list
a. ADD to the bottom of the sources.list file.
deb http://ppa.launchpad.net/arzajac/ppa/ubuntu jaunty main
$ sudo apt-get update
$ sudo apt-get install ubuntu-rescue-remix-tools
3. After that, I searched the Ubuntu Documentation Project for Recovery from Damaged Filesystem
4. I executed this command:
sudo ddrescue -r 3 /dev/sdb2 /media/backup/image /media/backup/logfileIt managed to rescue almost 25,000 individual files grouped together according to file type. It was organized by jpeg, bmp, gif, avi, mpg, etc.
The video that it did manage to save though were no longer playable. Otherwise, most of the other files were ok.