Kenmore mod 110 agitator turns while water fills tub

dose the drum actually turn & spin? if not then most likely the machine's clutch is worn or broken...go to you tube for repair video.

http://www.appliancepartspros.com/parts-for-model-kenmore-11023032100.html

With the lid open, try to turn tub by hand. If you can you may have a bad clutch. If you hear the washer agitating at the begining of the cycle without any water and filling at the end of the cycle, replace the ATC switch. Try spin cycle and open the lid, if you don't see the tub turning, but hear the motor, check motor coupler, or if it never spins after you close lid, check lid switch. These are the most common solutions to this complaint.

could pressure hose to pressure switch has come off at tub air dome near bottom rear of tub

check the timar

if no water is coming in how is it agitating?is it filling at the beginning,then it starts to wash the clothes,now does it drain and then it won't fill again,send the model number and more info,

Please be carful as running the agitator without enough water will overheat and kick out the motor, however it should be ok when it resets itself.
Yes, the machine should stop agitating when you lift the lid so this too is part of the problem.
After looking at the print I can only suggest that the cam contacts in the timer ( contacts 12 and 14) that start the motor are burned and stuck together.
Quentin

This is a problem with the pump being stuck so the motor cant turn the whole thing. Turn the washer on its side, underneath you can acces the pump, which is connected to the motor by two long clips. remove the pump and take out the colg that caused it to get stuck.

the holes are sapose to be there it filters the lint out.it sounds like you have a bad transmission.

The inner tub on some machines does rotate very slowly while filling to assist with the even distibution of the load. If the agitator is turning back & forth while in fill mode, you could have a timer or transmission problem. You need a tech.