I don’t understand how not doing this is even an option, assuming trucks follow classical physics.

Or maybe that is the problem and the sign was too small for “trucks - despite the name, please don’t quantum tunnel through the tunnel”.

@standupmaths too often truck drivers think they're exempt from the laws of physics, classically illustrated by the 11ft8 bridge YouTube channel
@standupmaths
Please obey published height dimension, rather than destroying all the signs and other things attached to the roof of our tunnel :P
Maybe it's not supposed to be interpreted as an instruction. Maybe it's simply a statement about what trucks do.

@standupmaths

Can opener bridges, tunnels, are a thing. Some can opener (low clearance) bridges are even close to truck depots where they take out dozens of trailers a year. (Google!)

One thing the clearance signs don’t account for if the driver has done due diligence of reading signs and knowing the height of their load (on flat ground- they are entering the underpass at an angle. The height of the REAR of their trailer 53 feet back exceeds the clearance and gets shaved off as they enter.

@standupmaths

Strong vibes of:

"Longships, kindly alter your course."

"No, suggest you alter course."

"No! We are a US Navy warship. You alter course!"

"Suit yourself. We are a lighthouse."

@RobertJackson58585858 @standupmaths makes me think of those pharmaceutical ads that are like, "Don't take Swebolerin if you're allergic to it"
@standupmaths in this tunnel we obey the laws of quantum chromodynamics!

@standupmaths Eh, seems perfectly reasonable to me. It means "truck drivers, please remember that your vehicle might not fit in the tunnel and don't try to drive into it unless you know it will fit".

Given the existence of the sign, I assume there's some history of truck drivers failing to do this. How else should they remind them in the space available?

No amount of warnings will stop a determined driver. There is a YouTube channel with videos of over 100 trucks crashing into one bridge with no shortage of warnings.
@standupmaths
Couldn't it just be a statement of fact?
It's an obvious one, yes, but in this day and age many need to be reminded of the most basic things.

@standupmaths You have clearly never watched videos from this channel:

https://www.youtube.com/@11foot8plus8

Before you continue to YouTube

@standupmaths I often wonder how well various nav software actually handles height restrictions. like some have that feature but how well does it work in practice?

@standupmaths

"Obey" in this sense is the legal definition rather per the Road Transport Act 2013 (NSW) than the Laws Of Motion (1687).

The laws of classical physics will still hold but with a very messy inelastic collision.

Aside:
The big grey thing not far away from where you are, is a Catenary; so your hunt for Parabolas will have to continue.

https://www.youtube.com/@11foot8plus8

Before you continue to YouTube

@standupmaths imagine a truck with an upper section and lower section, with supports on the front and back holding up the upper section, but otherwise a big ol' empty gap between. The front and back supports are strong enough to hold the entire upper section on their own. As the front of the truck approaches the bridge, the front support detaches and lowers allowing the bridge to go through the truck. Once the front has cleared the bridge, the front support is re-engaged, and the back support detaches allowing the bridge to pass cleanly through. Now the truck can far exceed the bridge height, just has to be longer than the bridge width.
@standupmaths to make it more fun, instead of separate supports, it's just a giant rotating ring with a section cut out of it. I think it would have to be comically tall compared to the bridge height.
@zeda @standupmaths
Or, to simplify matters, the upper section is levitated on superconducting magnets.
@standupmaths maybe this gives some insight to your question: https://11foot8.com/
11 FOOT 8 – The Canopener Bridge