There is no need to bang or drop the iPad!! Read this solution. Read the whole thing.
If your iPad is still under warranty, I have heard that Apple will simply exchange it for you. That is not necessarily an ideal option, as many people do not want to have to bother with transfering all of their files to a brand new device.
My problem, however, was that my iPad was no longer under warranty when this occurred. I was so sad, because the warranty is supposed to be for a year. My mother bought it for me as a gift last Christmas, so it had not even been out of the box for a whole year when this happened. Nevertheless, since my mother bought it in October, the warranty had *just* expired, since they go technically by the purchase date.
Apple offered to fix it for me for $300!!!! A ridiculous price for a loose wire inside. I simply am not in a position to spend that kind of money, and if I was, why not get a new device at that price (NON-Apple!). I was very upset, but I didn't give up on it. I scoured the Internet for an affordable solution, I found one, and it worked!!
The problem is caused by a loose cable on the inside, simple as that (can you imagine they ask $300 for the fix!! After all I have invested in the App store, and buying the Apple keyboard to boot!!!).
The fix I found is simple, I did it, and it worked for me. It is the same repair a professional would do in this situation.
The following video demonstrates how to open your iPad. Warning! This is a do-at-your-own-risk solution! But I found it quite easy. Watch the video (which actually demonstrates the entire process of replacing the screen),
http://www.youtube.com/watch?v=MG5HhdeP_VY
Obviously, for our issue, you will not remove your screen. Simply disconnect the two cables as shown in the video, and reconnect them!! Simple as that! Then just reassemble it according to the video.
I purchased the prying tool and screw driver and latches from sw-box.com -- for under $20. I think it comes from Hong Kong, but it only took 8 days to get to me in TX, USA.
I hope this helps someone else.