Kenmore F/L Washer Model 41743142200 tub loose

387780 does not seem to be a valid model number.
If you can locate the model number enter it here at sears Parts Direct.
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Link to videos about washer not spinning.
top loader kenmore washer won spin YouTube

What is the model number of your machine?

Replace bearings & seal.

this sounds like a timer problem, but need the make and model number to be sure, this model number will be on a on the rear panel of washer, or with the original owners manual.

You may have a drain hose cyphoning out the water. Make sure you have a air gap in the drain between the hose and the drain pipe and make sure the drain hose is higher than the tub of the washer. If this is clear you may have one of the following. Either a bad water level switch or a bad inlet valve. To find out if the water valve is bad while the water is pouring in unplug the machine and see if the water stops. If the water stops the valve is fine. If the water continues to flow you will need a new valve. If the water stops then you will need a water level switch. Let me know what happens and I will be happy to help.
Michael Anderson Owner Anderson Appliance
(865)945-3808

through the lower door panel in front of machine. Why???? is machine walking , bouncing or other wise?? This machine spins at HIGH Rpm's so most usual problem is one leg maybe unlevel or possible wood floor maybe "giving " as machine spins and allowing the machine to walk...but then again if machine is "old" shocks could be worn out

We have exact same washer. It is 11 years old. We are at a point where we have to spin it 7 times and then still isn't too dry. It dies yesterday a very loud death. Mentioning this here because it could be a foreshadowing of your Kenmore 90's future.

transmissions defective

Un plug washer remove belt by lossing the tensioner , bring to appliances center and assemble again /

Following your description the problem is with the lid switch. Get an access to it and find out whether something prevents his smooth movment,its has a loose wire connection or the switch is malfunction and should be replaced. Good luck!