Washer won't agitate, fills with water & will spin, but hums elsewhere
EDIT: It seems like it's problem is going from rinse to spin. Ran it through a small cycle and stops right after rinse. It makes that hum, then shuts off. There is a burnt smell, but not that bad. Ironically, going from cycle to spin works fine.
You have a bad bearing issue and the motor windings are bad. Most washer motors turn one direction to wash then reverse to spin, or they wash on one speed and spin on another. Each uses different motor windings.. The motor can operate in one direction fine but if the windings are bad in the other direction or speed it wont. Usually, with that much noise, you will find the center seals are bad, thus, causing a leak, rust, shorted windings etc. Look for any signs of a water leak underneath coming from the center of the tub. If you see signs of even a small leak you will need to replace the seals so it doesn't destroy whats left.
I would check the float switch. Has a tube going to the washer tube and electrical lines going to the timer. The next is check the lid switch see if it is closing and completing the circuit. Ralph Fremont Calif
"Well, unfortunately, it was the transmission. Given the appliances were 12years old+, other items were apt to follow going out, so I bought it all.
It would be different if it wasn't such a critical piece of a household of 5.
Thanks all for the input."