My whirlpool washer will not spin in the spin cycle. It goes thru all cycles but when it comes to spin/high spin it just pumps out the water and no spin, clothes are drippng wet. I had my husband replace "lid switch" and "motor coupling" but no luck.
Above the transmission, below the clutch, there is a plastic drive component that engages the clutch band. If that beaks, you will have all the symptoms you describe.
Replacing that part requires pulling the agitator and dropping the transmission.