Unshaking Video

For reasons which pass all understanding I used my phone to video myself making a mug of tea this morning. This is the result:

As you can see it's a little bit shaky but not bad considering it was hand held and I was pouring boiling water with the kettle using my good hand.

Anyway continuing the reasons which pass all understanding theme I uploaded it to YouTube and YouTube said words to the effect of "we've noticed your video is a bit shaky, do you want us to fix that?". I had good results with that before so I said "yes" and this is the result. In particular watch what happens to the mug:

It's turned to jelly! Very disturbing. YouTube did offer to turn off there shake correction but it's so weird that I've left it there.