GE wpse4200aoww washer won't stay in spin mode

Either the drain hose is or the pump could be clogged or plugged.Or it needs a new drain hose or a new pump for your washing machine.

Is the pump motor spinning?

Hello there and welcome to fixya
The clothes are wet after spinning When the clothes are wet at the end of a cycle, check these: Motor coupler
To test the motor coupler, re-start the washer in its spin cycle. Let the machine run for a minute, and then open the lid and notice whether the tub is spinning:
If it's spinning when you lift the lid, the coupler is fine.
If it isn't spinning--and your machine was produced by Whirlpool®--you may have a broken coupler. Many Whirlpool-made washers use a small, relatively inexpensive device called a motor coupling. This plastic-and-rubber component is mounted to the shaft of the motor on one side, and to the transmission on the other. Over time, the coupler wears out and fails. When that happens, you need to replace it completely.
Spin cycle
If the washer doesn't reach its proper spin speed, the clothes may be too wet at the end of a cycle. Check to be sure the load is properly balanced and run a spin cycle again. If the clothes are still wet, you may have a worn or loose belt (Maytag®), a worn clutch (GE®/Hotpoint®), or a worn motor pulley or tub bearing. Replace the applicable component.
Alternatively, there could be clothes caught between the inner and outer tubs. Read the "It spins but won't pump" section of the "It won't drain" section. Also, there could be other things that cause friction on the drive train. Seek the assistance of a qualified appliance repair technician.
Siphoning
If the water that pumps from the machine goes right back into the machine after the spin cycle, it may be because your washer is siphoning the water from a laundry tub with a slow drain, back into the washer. Try to improve the draining of the laundry tub. (Is there something stuck in the drain?) Also, be sure the drain hose doesn't reach more than about 4 inches into the laundry tub. If it does, cut off the excess.
Water-inlet valve
Water-inlet valves eventually fail. One problem that may develop with a water-inlet valve is that it can no longer completely shut off when the electricity is turned off to it. Then, the valve may leak and drip water into the clothes tub--you may notice that your washer has water in it when you haven't used it for a few days. To fix this, replace the valve.

your washing machine is overload or its timer is not working properly

just add another drain and spin cycle and start it up again with the completion of the first cycle. Washing some items like sleeping bags takes forever because they are so darned absorbent and hold more water than a tiger's sieve of a bladder. Another drain and spin cycle should solve the problem.

change the timer.

Bad lid switch

not sure exzakley ive repaired thousands of washers though.just dont pack the clothes in it.God bless,tom

when i start my washer it stays on the spin cycle
any tips on what might be the problem

Jayron, is the motor jogging? start to spin, stop, start to spin stop. If so, your motor is jogging between the high and low start windings. The motor during spin should start on the high speed windings and stay there until most of the water is drained. GE came out with a new motor, harness and run cap because of this. If you have a meter, there should be a white and white/red wire going to the motor. If you have a steady 120V and it's doing this jogging, replace the motor with the kit...Let me know if this the issue, Catriver..post back.