Here is your parts breakdown.
Replacement parts for WHIRLPOOL LER7648PQ1 29" Electric Dryer | AppliancePartsPros.com

[COLOR="Blue"]I have a dryer at the place I work for that I have repaired before. I replaced the burned out heating element due to it not heating up to dry clothes.
While I was back there, I also replaced the "thin white fuse" (the actual name escapes me at this moment) and the thermostat closest to it.[/COLOR]
If on the blower it was the thermal fuse and the control (cycling) thermostat.
If near the heater it was the hi-limit thermostat and the thermal cut-off (also a thermal fuse)

[COLOR="Blue"] The dryer worked perfectly for about a month. Then, it now has a problem with not working at all. You can feel the timer vibrate like it is working, but when you go to push the start switch it humms like it is a stuck motor. I don't know what to look for to start repairs this time???[/COLOR]
Sounds like your motor is toast.
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.

Could well be that the motor has had it.

If it still does not go after you clean out the lint then odds are high that the motor needs replacing.

Ok, the new motor came in and I am trying to remove the old motor. I unplugged the power wires and then took off the back of the dryer showing me the blower fan. I notice on the back of the motor there is a "block" of the same plastic that the fan in made of. I assume from looking at the new motor that this "block" is part of the fan and that the motor shaft threads into this??? Is this so? I know from looking that I need to unscrew the old motor from the fan/whatever in a clockwise motion, so righty-untighty in this case. Can someone give me a run through of how to get this old motor out of its fan connection? I know removing the two clips that hold the motor to the mount are all I should lack once I am unthreaded from the fan. Thanks in advance!:cool:

LOL, yep just ordered a blower wheel (due to the old one not coming off the motor shaft). I just took a sharp flathead screwdriver and started chiseling the wheel off from around its center. Thank you for all your help and I will return in the future for any more help I need. Great forum, reminds me of my homebrewing forum as far as the great help and fast answers. Hope this thread helps another some day.

Thanks again!!!!:D