Good day,
First step is to check to see if there is power getting to the compressor. If not you'll need to back up and find where the power was lost. Some models have a low pressure cut out pressure switch. One possibility.
Second, if power is at the compressor then you'll need to check the protective overload, start relay, and start/run capacitor if it uses one.
If everything checks out, using an ohm meter check the motor windings. They may be open ( no continuity) bad compressor.