Hi Jamal. I'm Greg, an installation specialist and 8 year Windows MVP, here to help you.
Setting External drive to Read Only using Security permissions would only work on the PC it's set for: http://www.tomshardware.com/forum/id-1627149/se...
Since you want the volume to be Read only on any other PC it's attached, then you need to assign the Read Only flag using Diskpart to the external volume: http://searchenterprisedesktop.techtarget.com/a.... You can do this by determining the volume in Diskpart to run the command, or use the script the author provides.
I hope this helps. Feel free to ask back any questions and let us know how it goes. I will keep working with you until it's resolved.