I thought it would never happen to me!
I smelt burning plastic earlier, and inspected my room only to find that the powercord was slightly melted near the box. Since I didn't have any other cord, I decided to plug it back in and watch it very closely.
Very quickly it heated up again, this time melting enough to exposing the inner wire, and making smoke! Needless to say I am NOT plugging it back in, and am now slightly scared! What if this had happened when I was not home?!
Looking at your pics, leads me to further believe what I posted above about the cable being stressed outside the plug/charger.
Two questions ....
1 Did you notice any cracking in the insulation prior to the burning incident???
2 Did you try plugging in the charger ALONE to see if it continued to short/burn??? ( this would isolate the issue to the charger and not the notebook itself )