Thanks, Martin. I tried your suggestions, and they only made a tiny bit of difference. The shards didn’t lie down after the tractor passed; they froze in the position and orientation they had as a result of the collision. Moving the origins didn’t seem to do much, either.
I’m new to this rigid body stuff, and Blender physics in general. Might force fields be appropriate here?
(NB: I did experiment with force fields, but I couldn’t get them to affect the shards at all, even at ridiculously strong settings. The only objects in the scene that I could move with force fields were the solids.)