Shredder makes a loud rumbling noise when i try to shred paper

As for your first part - It sounds like there is something wrong with the switch lever that moves to complete the electrical circuit to start the shredder. On every shredder I have seen, there is a little "bellows" linked up to this lever that pushes it back so the machine will shut off. Most of the time all you have to do is put another piece of paper in and let that get shredded and the shredder will stop afterwards. If not, then just use the main switch to turn the shredder off.
Second, the beeping during "mid-shred" sounds like a warning that the shredder is starting to overheat and shut down. If this is the case, just wait a few minutes to allow it to cool down and try to finish the shredding you have. I have found that if you feed a shredder a constant stream of paper to shred, this might cause the shredder to overheat.
Also, the shredder may get overloaded with pieces of the shredded paper. Here is the way to check on that:
1. UNPLUG THE ELECTRICAL CORD FROM WHEREVER YOU HAVE IT PLUGGED IN.
2. Lift the shredder from the bin and turn it upside down.
3. Look for an excessive amount of paper in the bottom of the shredder. If there is a lot, you can remove it in several ways. (Most likely the bin is quite full at this point.) Pull the majority of it out and put it in the bin. If there are pieces of paper that you can pull out with your fingers, use a tool (needle-nose pliers, serrated tweezers, a hemostat, etc.) to get those difficult pieces out.

Replace the unit on the bin making sure that it is the same way you took it off. In most cases (on the better shredders), there is a notch on the underside of the shredder that needs to be on top of a "nub" that is on the edge of the inside top of the bin. Unless that nub is aligned with the slot, the shredder will not work.

Have you tried putting any shredder oil on a piece of paper and running that through the shredder?

I just had this problem with my shredder. I think the problem started with a bin that was full. Running the shredder in reverse resulted in shredded paper being pulled up into the slot used to feed paper into the shredder. Some of this shredded paper was blocking the little plastic tab that activates the switch when paper is inserted, so the shredder would no longer start when paper was inserted. I emptied the bin and removed the shredded paper from the feed slot, being careful not to break the plastic "sensor" while removing the paper from under it. The shredder works fine now.

I just had this problem with my shredder. I think the problem started with a bin that was full. Running the shredder in reverse resulted in shredded paper being pulled up into the slot used to feed paper into the shredder. Some of this shredded paper was blocking the little plastic tab that activates the switch when paper is inserted, so the shredder would no longer start when paper was inserted. I emptied the bin and removed the shredded paper from the feed slot, being careful not to break the plastic "sensor" while removing the paper from under it. The shredder works fine now.

Add some paper shredder oil. A shredder needs oil to function properly, oil should be applied every month or more depending on how often you shred. Learn more here: http://hubpages.com/hub/Paper-Shredder-Oil

Just put a lightweight shredder oil on some paper and shred the paper...do this a number of times this will get the oil down into the cutting shafts.

Pour some shredder oil in the throat where you normally insert the paper...put some shredder oil directly onto 1 sheet of paper and try shredding 1 sheet. If it wont even shred 1 sheet I would ask is the shredder running???

sounds like the cutting wheels have something jammed inside them , can you take it bak and return it ? or open it up and see if anything looks bad inside ?