Hello Derry,
Does it make sounds of distress? From your description it sounds as if there is no staring torque worth speaking about, which in turn means the start winding is not connecting as it should. By distress I mean heavy humming..
I imagine it is a standard capacitor start motor with an internal centrifugal switch that disconnects the start winding once it is running. The main winding won't start it under any effective loading without that assistance.
It is quite likely the contacts on that switch are dirty, They arc on separation and then oxidise, add dust or dirt from standing and the insulating effect may well be enough.
Try squirting switch cleaner through the cooling slots at the cable entry end onto the centrifugal switch as a quick fix. Failing that you will have to strip the motor down and clean the contacts..You only need to open the motor at the cable entry end; do be sure to isolate it electrically first. On reassembly, a drop or two of oil on the end of the motor shaft would be good.
A capacitor start motor is recognisable by the round housing for the capacitor on the outside of the motor casing,. It is most unlikely that the motor has failed just in standing unused, or for that matter something has burned out when it is not used.
Regards Brian.
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