For all I know, this may be out of date (as in, I don't know what your necroposting policy is here). I kind of found it from a search engine on "Car shaking smells".
My car is... not a Ford Focus. It's a '97 Buick LeSaber. It's crap. When I save the money, along with other things, I want a new car.
Okay, yes, the whining was a major feature, so was shaking (although it was in reverse). Although here the shaking seemed to be accompanied by hesitation to accelerate, especially after stopping. As in, I stopped at a light, and had trouble making it through the light.
Recently, I went to AutoZone and a nearby mechanic was in (he had slow business nearby), so he was like "I'll look at it." Changed transmission fluid (if it had trouble shifting, this was one of the things I was concerned with) and upon opening the car, they found that the last time my engine was worked on, the people forgot to put back in the PCV thing. So the whining was not, as previous mechanics had told me, the belt. Nor was it the water cooler, it was that the engine was sucking in air, and this was causing pressure to build up, pulling at stuff and making a whining sound. The changed transmission seemed to make a difference, and the pollution control valve definitely helped (instantly stopped whining). But car is still shaking, and gives off a burnt smell. I'm getting it checked when I get home tomorrow.
The shaking of the car can also be caused by a bad sparkplug, or bad sparkplug wires, giving intermittent energy to the car.
Also, this.
8 Ways to Diagnose Car Smells - wikiHow
What sort of smell does the car have?