How do i find the year of my sears washer

It mainly shows up for parts, although Sears does keep older manuals.

https://www.google.com/search?q=Sears+Kenmore+Model+110.925732+washer+manual

..

you didn't say how old it is, - but likely the cost effective solution (if it is more than 5 years old) is : buy a new washer.

the serial number will be only for that machine.....cheers

have you cleaned the filter
if its two or three years old also check the motor brushes

In regards to the dryer:
https://www.repairclinic.com/PartDetail/Kenmore-Dryer-Thermistor/WP8577274/1181075?modelNumber=110.85874400&ss=a8b6d703028&mr=1
The issue with the washer is related to issues on this page:
https://www.repairclinic.com/RepairHelp/How-To-Fix-A-Washing-Machine/42-6-699046-/Kenmore-Washer-vibrating-or-shaking-11045994400

This assumes that you have a basic Kenmore / Whirlpool top load, direct drive, neutral drain (it doesn't spin until the pump removes most of the water) machine.

First, see the Sears parts site for your washer:
http://www.searspartsdirect.com/partsdirect/index.action

Enter your model number (###.######) and you'll see a list of major sub-components with diagrams and parts.

The numbers following the 110 (which means it's made by Whirlpool) are usually 8 digits. Using the number that you provided, I couldn't find your washer on the Sears site. You will want to verify the number (usually by lifting the lid) and/or check for manuals / parts site from the following Sears site:

http://www.managemyhome.com/

Sears has replacement tubs (at least for my 12 year old top load for about $116.75 (U.S.) but you may be able to get one from Whirlpool for about the same cost. If you can get to the diagrams on the sears site. they often have "Manufacturer Authorized Substitutes) which are Whirlpool numbers.

FOR EXAMPLE, SEE THE SITE FOR OUR WASHER AND YOU'LL SEE EXAMPLES OF PARTS, DIAGRAMS AND COSTS.

http://www.searspartsdirect.com/partsdirect/getModel!retrieve.pd?modelNumber=110.26902691&pop=flush

First, see the following Sears Parts site.

Enter your model number (###.#######) and you should see a list of sub-components.

On many washers, to the right of the components is a place where you can click and see PDF versions of the owners manuals.

If the Sears site doesn't have your owners manual, you may try looking at the following Whirlpool maintenance manual for front load washers.

https://secured.whirlpool.com/Service/SrvTechAdm.nsf/2cd44500d572193285256a45004fd9d6/07e2c9ebdcf04a3085256f38004f9b84/$FILE/WPWASHER1.pdf

first of all. comming from a Sears Technician.. (don't yell) -- the delivery drivers only know about delivering stuff. they dont know too much,
if the two are the same size they can be stacked.
sometimes have to rig something up
and yes, for that model the top is removed, clips go on the rear and screwed at the front.
in some areas it is sold seperatly as a stacking kit

there still models out there from sears that go on the same way as the old one trust me i know 4 a fact

The buzzing can only be that the pump if sticking or the inlet valve is sticking, other than that it is lack of water supply. Regards Advisor