Here is what I have found with mine (I was having the same problem, TWICE!):
When the spin cycle is supposed to start, it made a noise for about ten seconds and then sounded like it turned off...In my case, I had a sock (both times) stuck in my pump. The pump was easy enough to check by pulling the washer out from the wall and then tipping it back. There was a white piece that two hoses connected to. The pump is only connected to the washer by two clips that easily pop off with a flat headed screw driver. You can use a pair of pliers to undo the clamps on the hoses. Once the hoses are off, you can see wether or not there is something stuck in there.
Take note: It is best to drain as much of the water out of the washing machine using a bucket or any other container that will hold water prior to doing this as it will save your back and floor.
Also: Before removing the two hoses from the pump, have a bucket ready to catch the extra water.
If you do NOT hear the brief noise before the washer shuts off, then it is probably your lid switch.
Good luck!
Leon Justin
January 2006