My ge washer wont spin by itself. i have to take

Most likely a failed transmission

Sounds like you have an unbalanced load. I know this sounds too easy but lots of times this is the issue. If it doesn't help then you could have a bearing issue where the belt goes around a pully under the tub itself. If so you will have to replace the pully itself and perhaps the belt if it's gotten worn too much.

It may be a garment stuck in between the inner drum and the outer shell

sound like the water pump is shot

It is most likely your drive belt. Remove the front by inserting a small screwdriver between the top and front covers. There are two clips that hold the front on. You will find them close to the edges of the top of the front cover. Once you get this removed check the belt below the motor and see if it is broken or off the pully.

check the pully assembly

transmission shot if it does everything else but spin,not worth fixing for the price of a transmission plus labor,just junk it and buy a kenmore,whirlpool top load-mike

* Test the lid switch
* Test the timer control
* Test the centrifugal switch
* Test the water level switch
* Inspect the motor coupler
* Inspect the drive belt (belt drive only)
* Inspect under the washer for soot (clutch)
* Test the motor
* Inspect the pulley
* Test the transmission

Looks like the bearings may have failed. TURN OFF the POWER and try and rotate the agitator/tub by hand. If it is jammed you should investigate why. Possibly caused by bearing failure or something wound around spindle.

Take care and do not attempt to investigate the problem without first disconnecting from the mains!

i wouid try a new belt