In the recent Undecided with Matt Ferrell video Why the Future of AI & Computers Will Be Analog after about 05:44, the Original Star Trek TV show's Mr. Spock is shown holding a analog flight computer. I don't know the episode, but by the looks of the open electronics racks in the background on the left, this seems to be an emergency situation and the device is a backup measure.
Is it possible from the screen capture here, or from other sources, to determine which episode of TOS this is from?
Since Spock is pretty famous for doing complex warp calculations in his head on par with the ship's main computer, is there any in-universe context why he needed to turn to a "handheld device"?
Question: In what TOS episode did Spock use a prop known as an analog flight computer, and why did he need to turn to a "handheld device" in this case?
From the linked video:
In general, it was never that analog computing didn’t do its job — quite the opposite. Pilots still use flight computers, a form of slide rule, to perform calculations by hand, no juice necessary.