Hi! My name isXXXXX look forward to assisting you! Do not forget to rate my answer quality before you go. Let's get started!
In this situation, it's best to do a hard restart (don’t worry; you won’t lose any data).
Please go ahead and hold the Home button (on the bottom center) and the Power button at the same time for 10-15 seconds...
Then you should be back up and running.
However, if that does not work, you'll want to try:
1) a different outlet; then
2) a different charging cable and plug
If neither of those work, then, indeed, it is something mechanical inside.
You can take it to an Apple store and they can try to troubleshoot/diagnose without charge for you.
You can also purchase an Apple Certified Refurbed iPad 2
with a 25% or so discount off retail:http://store.apple.com/us/browse/home/specialdeals/ipad/ipad2_wi_fi_3g
Further, most applications now aren't compatible with the iPad 1. The newest iOS to be released in the next month or two, iOS 6, is not designed for iPad. You will want to consider upgrading soon, otherwise you may miss out on important feature updates as well as new applications that just won't work on iPad 1.