RE: Dell Latitude E6510 Spontaneous shutdown and reboot
I had the same problem!
The solution was easy and kind of stupid! My Dell laptop has a bit of loose battery module. The battery wiggles around a tiny bit and I realized it is when I move the laptop, it shuts down! I put a piece of folded paper between the battery and the laptop, on the opposite side of the battery connections so that the battery is pushed against the connections. Then I put the battery back so that the battery module is fit and snug. Now everything works well! No reboots or shutdowns anymore!