Please check your model number as it comes up as a stove.

Here are your parts.
Includes a wiring diagram but it is pretty poor quality and I cannot find a better on on-line.
Wiring diagram replacement parts for FRIGIDAIRE 41749012890 Frg(v0) / Dryer | AppliancePartsPros.com

The thermal limiter will kill power to the motor so that will not be your problem.
Depending on the type of sound it could be that the belt is broken.
If it is more like a buzz then the motor is not starting for some reason.
Try the below.

Try turning the drum by hand. Should turn fairly easily. If not could be the drum is jammed for some reason. You may want to try this on a couple other dryers to get a feel for it.
If it is difficult to turn run your fingers around the back and front of the tub to machine seal. To see if something has jammed between the tub and frame (bra wires are famous for this). Be careful in case the object is something sharp.
If nothing is jammed in there you will have to open it up and find the cause.

If it rotates OK.
This may take 2 people
Open the door
Manually hold the door switch closed
Push the start button and manually rotate the drum in the correct direction.
Watch your knuckles in case it starts up.
If it does start up, odds are high that you need a new motor.

Could also be that the motor is jammed solid with lint and this is preventing the Start/Run centrifugal switch from resetting (the unit is trying to start with out the motor's start winding in circuit.