When I plug my Halo Reach Edition Xbox 360 into the wall, I can play Arcade games or disc games for about ten minutes and then it turns off. Once it has turned off it turns on again and off again and on again, and so forth, until you unplug the power supply. I have tried using my power supply with other Xbox's and it's always fine (so I know the problem is the Xbox) and have used my Xbox with other power supplies and it still does not work. I know it is a problem specifically with my Xbox. Has anyone else had this problem?
I called Microsoft and sent it in and got it "worked on" under my warranty. Before and after my Xbox went into the shop, it was doing this. Microsoft didn't fix a thing. My warranty expires in a couple months. Please somebody help me.