How to name a category of tall objects that are designed to stand on the floor as opposed to standing on a table? The tabletop objects are shorter than the freestanding objects and I cannot use "freestanding".
As Chatkillah notes in the comments, floor-standing is used for things that are designed to stand on the floor. For example, the tall speakers that rest on the floor in home theatres are called floor-standing speakers.
Table lamps go on the table while floor lamps go on the floor. Does this help you?
The word is "pedestal". You may have heard of pedestal lamps, pedestal fans etc.