Just attach the green wire to any screw closeby. Nothing could be simpler. Look closely and you will find a small male terminal to connect the green wire in some models.
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Is the belt slipping? Check and see if it is worn. Open door, remove 2-4 screws at 12:00 position, lift up cover. The belt is the little band wrapped around the big thing.
Broken belt. The safety switch will not allow the motor to stay running if the belt is broken. Open the door and look up at the 12 oclock position and their will either be 2 or 4
screws holding down the top. These must be removed and then you can get
the top to come up(or off on newer models). Once you have the top up
you can get to the screws which hold the front on (2). Then you simply
remove the front and get it out of your way. On some these dryers there is a
friendly rear hatch to help you replace the idler.
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It is probably the electric heater coil. How old is the machine? If a couple of years or more, the coil is probably burnt out. It is accessible through the back. Good luck!
To do that today, you would need to do the following for older dryers. Turn off the power by pulling the plug From the back remove the console. Remove the top Undo the two screws at the kick strip Carefully remove the front remembering there are wires. Short the wires together and tape them up. Put it all back together. For modern dryers. Some are surface mount and just pull out. Order the part, DON'T leave it like that! ..
The reason for this will be that you have mis-routed the belt or that the spring on the idler arm is weak or has broken / dropped off. The idler pulley puts tension on the back edge of the belt. What made the loud noise will be the key to this. My bet is that you lost the spring or an idler arm mounting bolt.
When it hit the floor you have probably knocked something loose inside the motor itself. You will need to check it spins freely by hand and check the carbon brushes for the armature. You may also need to strip the motor down to check all the wiring connections inside the motor.
If it smalls 'fishy', it is overheating at the motor windings. That would not cause the dryers thermal fuses to trip. Dryers don't normally have an internal breaker. Remove the motor, strip and clean it. Lubricate the bearings. It should spin very freely.