In SNW 2x09 Subspace Rhapsody, the opening song includes the following lyrics:
We can confirm there’re no injuries
Just the daily Mundane
A headache, a splinter
A left ankle sprain
Which leaves the question, how did that splinter happen? And how is that particular minor ailment common enough to be considered a “daily mundane”?
Most splinters today come from rough or unfinished wooden objects, which I would expect to be quite rare on a starship. Other materials (plastics, metals) can create splinters which could plausibly impale somebody in a superficial way, but by and large those materials shouldn’t be splintering outside of catastrophic failures, which again should be quite rare.
Does the enterprise have some particularly lackadaisical hobbyist woodworkers on staff? How else could this have happened?
There is some wood on starships. Many ships have wood accents in various places, the TNG the tactical console is held up by a wood arch. There is also the arboretums which have trees and possible wooden benches, hydroponics might have some wood. There is probably some wooden furniture, maybe wooden toys, baseball bats and other sports equipment. A lot of these are finished and/or sanded but they have the potential to break and splinter.