I have a rooted Galaxy Tab 2 7.0 (p3113) that has worked fine for over a year. After draining the battery completely out (which I have done many times before), I plugged it in to find it stuck in a boot loop. When I plug it in over USB or a normal outlet, it shows a battery with a frozen spinning dial in the center. It then shows the same battery icon that starts animating and filling itself for about a quarter second, before shutting down and doing the same thing all over again. I can't boot in to recovery or download mode (It doesn't get to that boot stage before shutting down), and the only way to stop the loop is to unplug it. It almost seems like the act of showing the charging icon is depleting the small store of battery and making it turn off. It is not on long enough to be recognized by my computer and so I can't do anything with that (no adb or fastboot).
Is there anything else that I can do to get it to boot to recovery or stop booting on charge altogether? Or is it now just useful as a paperweight?