You can get a Coleman Mach Parts Diagram/List
here. On the Coleman, only four fasteners hold the plastic cover. If it's an older unit with the original cover, handle with care. They get very fragile with age and you may find you need to add metal plates under the fasteners when you put it back.
Then you can see the compressor. If you have a clamp-on ammeter, you can see what the compressor current draw is when an assistant turns the A/C on. There's a rating plate on the compressor. "LRA" is Locked Rotor Amps which is what it draws if it doesn't start. It may not start if it's failed, stuck OR the Capacitor is bad. To see the Capacitor(s) you need to remove a wiring cover on the driver side. There should be two silvery-looking Run Capacitors. One for Fan and one for Compressor. It's common for the Compressor Capacitor to fail. If it looks Swollen, Bloated, or like Something has Leaked Out, it's shot.
Run Capacitor looks like this

May also have a Start Capacitor that looks like this

Meters to test don't have to be expensive. From Harbor Freight
Clamp On AC Ammmeter $13

Digital Volt Ohm Meter (DVOM) with Microfarad (Capacitance) Capability $20

Please post the Model Number of your Mach and I'll look at the parts list. It may show a Start "Device" in the parts list but not actually have one depending on the details of your exact unit. If it has both a Start and a Run Capacitor for the Compressor, BOTH have to be good. AND the Device that takes the Start Capacitor out of circuit once Compressor is running ALSO has to be good.
Bear in mind, the Compressor has an internal temperature safety down deep inside it. A cold compressor should test as I described. If you've been trying to run the system and compressor hasn't been able to start, it'll get hot and that safety will keep it from starting or drawing current till it cools, which could be an hour.
What do you think? Want to go after it? Let us know...