As always, I thank anyone who might be able to help. I have experienced instances of my having followed the instructions in tutorials perfcctly with the results not having been the same as those achieved in the videos, and so it is no surprise that when extrapolating and applying the general principles to my own models, especially when rigid body collision is concerned, I am also experiencing aberrant results. I did all that I have heard and read to do to set up the one object as the catalyst in the collision, and also have taken the steps that I am aware of to cause the shards to respond to it, but as usual, nothing is happening. I have another slightly different version of this model in which the shards are just collapsing from the beginning of the animation despite the fact that they are deactivated, so I don't know what the issue is.
As shown below, the sphere doesn't break the door when colliding with it, it just pass through it.