Xbox tripping after time

Please advise, my xbox 360 works fine and when i play it suddenly just trips so i kinda switches itself of but the green power light is still on, the remote is off and the screen goed blue there is no text or anything. But when i start the entire process over and removing the harddrive then it never trips. I have no idea what the !&&* is happening, i cannot play most of my games when there is no drive in.