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I have a Whirlpool "Thin Twin" as well, and mine just had it's 14th birthday. The agitator would not spin despite the the unit receiving power. The drum filled with water, and the dryer operates just fine. I decided to pull out the lid switch. Very easy to do with a phillips screwdriver. I discovered that the amount of travel required to activate the switch increased to a point where the plastic tab on the lid couldn't press it enough to activate the switch. The switch itself was starting to come apart... it is two plastic halves that join together with a type of seal. Not sure what was causing the two halves to lose the ability to hold the switch unit tightly together... but I solved the issue by using a plastic zip tie to fasten the unit together tightly. Now the plastic tab on the washer lid can actuate the switch lever.