How to the door of an Indesit IWDC 6105 be opened when the internal door lock has burned

One of two problems, burned out drive belt or burned out motor. This could be fixed by a DIYer, but need to know what level of mechanical ability you have. Take off the front panel and take a look as you run it through a short cycle and be prepared to shut it off or pull the plug if you see sparks or smoke from the motor.

The humming is the drain pump, not the motor.

You probably have an electrical problem - some wire someplace is broken (probably a wire going to the motor, perhaps a sense wire, or for high speed power). I had this happen to me and diagnosis said to replace the main control board for $$$.

But before doing that I checked it closely and found a cracked solder join (i.e. one wire was not making a good connect). I reflowed the solder and all was well.

But I did this myself - and it took a long time. For you to pay someone to check this for you will probably cost more than just getting someone who does this for a living to just diagnose and fix it.

Unless you are really good friends with someone handy? Usually if you take apart the machine it will have documentation telling you how to diagnose it.

First thing to do after following the instructions on the documentation is carefully check each wire going to the motor, and check the board where the wire goes for a loose connection.