I guess you would have to anchor those engines pretty deep. I would assume that even anchoring them to bedrock would simply cause unscheduled continental drift, and possibly only mountainous relocations.
Goofing a bit, but couldn't you damn the Madeira river and then use the flow control to speed up/slow down the rotation of the earth[0]?
Just walk down a hill to accelerate the rotation of the Earth a tiny bit. But when you need to walk up the hill again you decelerate it by the same amount. -- So building a dam preserves the rotational speed of the Earth with respect to the extent of the mass (or more exactly the angular momentum) of the retained water.