I have a maytag washer (model -dependable care) and when we start the wash the motor just hums, the water does not fill, if we move the timer switch to rinse the motor engages and the unit works entire the end of the cycle, this is the same for all cycles

I would look at lid switch on this model and plunger to lid .Under lid is spray flume that can be damaged by large loads ,check that close. put it in wash full and drop lid hard it may come on.

You need a new timer. It's an easy repair ...

http://www.repairclinic.com/Maytag-Washing-Machine-Model-LAT8435AAE-ID-90821-Circuit-Board-Timer-Parts

CHECK THE FUSE ON THE LID SWITCH BELOW THE TIMER. IF ITS BLOWN YOU NEED THE LID SWITCH ***.SOMETIMES EVEN IF ITS NOT BLOWN THE SWITCH IS BAD

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It is very likely that the motor has burned out. What happens is that the water solenoid allows water to fill to a certain point where a fill sensor stops it. The program then moves on to activate the motor which will agitate the wash. So when power is supplied to the motor, it tries to start, overheats because of a break down of insulation in the windings, and you smell burning. Replace the motor.

Sounds like a bad timer motor.
Try watching the timer motor and see if you can see it moving .

turn the motor to see if it moves it sound like the motor

Did you replace the pressure switch its a round plastic thing with a plastic tube at the bottom and six electrical connections

Bad timer

I just hooked up my washer and after filling it the motor hummed and smelt like it was starting to burn! Is this a fixable problem?

OK it may be one of 2 things. I would check the lid switch first. On some maytags the have a lid switch that if it is not working properly it will not let the washer fill. If it will not fill the washer will not wash because the pressure switch did not activate the timer to wash. If the switch checks good you might have a bad timer. If you open the control panel you will find a tech sheet with the wiring diagram. I would follow the fill cycle and check the components. You might also check the water valve to make sure its ok too. But its very rear that both the hot and cold would go at the same time. Good luck!