Since its washing the motor and the drive belt are ok.
when it comes to spin the procedure's the same but the motor has to work harder so maybe the (carbon)
brushes which take the power to the motor are worn
and need replacing.Try turning the prog.switch to some spin positions(power off),then switch on and
rock machine to see if contact is made by brushes and machine should spin.If so new brushes are needed.
Good Luck P.S.it could be the prog switch---hope not.
Gerry
July 2009