Looks like the bearings are out on my Kenmore HE3. This morning during washing, notice a very loud banging, thought it was coming from neighbors. Saw it was my washer. Looked up some videos on YouTube to see what the problem was and sure enough the worn out bearings describes my washer perfectly. It has the plastic shredded pieces around the drum, wobbly drum, and very loud banging noise when spinning at high speed.
My washer is 13 years old, lightly used though. I thought for sure my dryer would die before the washer. Looks like replacing is cheaper than repairing.