I have the same problem - except my screen went black as I was installing an Android emulator (Droid4X).
I'm a dab hand with computers, but tablets are new to me - I can't tell whether the thing is powered on and not responding somehow, or powered off and won't power on. As with OP, the charge light flashes off for a split second when I press the power button.
(edit: definitely powered off: I left myself connected to a TeamSpeak server on the tablet, but when I connect from the computer, my tablet identity is not there.)
What is this emergency reset that you guys speak of? I've looked online for a series of hardware buttons to press to force restart the device, but to no avail; everybody just talks about 'resetting' Windows from within the OS.
Does the tablet discharge faster than it can charge? My tablet was plugged in when the screen blacked out.