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If we believe your earlier link, then I don't see any hydraulic backup for TE flaps. I guess the mitigation is "you'll be landing fast, deal with it." From the excellent b737 site http://www.b737.org.uk/hydraulics.htm

An interesting read. https://arstechnica.com/space/2025/04/the-harrowing-story-of-what-flying-starliner-was-like-when-its-thrusters-failed/

I don't follow. Up is off, down is on for both sets of switches. I'd guess that convention is applied for all switches. If so, I'd expect that to be ingrained. How do you mistakenly turn a system off when you're intending to turn something on.

Something derived from barnacles couldn't be used on Muslims or devote Jews.

You're not giving us much to go on. How much design freedom do you have? What speed? What forces? Are you just moving the thing, or do you need to accurately position it? If so, to what precision? Does it ***absolutely have to be*** a rack and pinion? Does the motor ***absolutely have to...

Are the rollers rubber? The problem you're trying to solve isn't clear. Set the engagement once, how does it change?

That's a constant acceleration. It results in a linear speed v. time profile.

I hope you mean "linear speed profile", not linearly increasing acceleration. But that requires constant acceleration, which you probably don't want to do. Basically, you want the left half of this (from: https://www.digikey.jp/en/blog/motion-control-profiles-good-better-and-best)

Everything you need is here: https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/10%3A_Fixed-Axis_Rotation__Introduction/10.09%3A_Work_and_Power_for_Rotational_Motion

Huh? That's not relevant. Anyways, how much clamping force do you need? How to select fasteners: Define the clamping force. Decide the number of fasteners. Decide material. Decide diameter. Decide if torque control is good enough. If yes, calculate torque.

Apparently the system has some flexibility built in. https://en.m.wikipedia.org/wiki/1962_United_States_Tri-Service_aircraft_designation_system

Yes, time causes aging.

The Chaparral 2E wing only used 2 positions. https://petroleummuseum.org/chaparral-2e/

Take a look at this. https://stackoverflow.com/questions/41465478/register-udf-with-descriptions-of-arguments-using-excel-addin

Well that sounds very favorable, 🤔

Oh, and your scheme to recover energy won't work and will only slow the response.

Overly complicated and HEAVY. Electrically driven ball screw or servo and bell crank will do the job better in every way.

Yep, it is.