Hi ya dansack,
The washer does not spin but you don't include any other details but since you're asking about the not spinning I assume the agitation is okay.
If your washer will fill and agitate okay then the motor is most likely okay. If the washer agitates and the timer advances to the spin but nothing happens then the most likely cause of this problem is a bad lid switch.
On your washer an open lid switch will allow the washer to fill and agitate but will not allow it to drain or spin. I recommend you check the lid switch first.
If you're comfortable and confident in your do-it-yourself abilities this is something you can repair yourself without calling a service technician. Remember to unplug the washer so no power is present.
The image below contains the instructions for accessing the lid switch on your washer. You'll have to remove the cabinet. Your washer is a little different from the one pictured below. Your washer has two end caps that must be removed to access the screws that hold the console.
Read the instructions below and see if this is something you'd be comfortable and confident in doing.
The lid switch part number is(NNN) NNN-NNNNand is available from the following link: Sears Parts Direct
If you have a volt/ohm meter you can check for continuity across the terminals on the lid switch. The instructions also show how to "jump" the lid switch out and check if the washer will spin. Use extreme caution if you do this.
I hope this information is helpful to you in solving your problem.