Great question — answering as the UphillTech team:
Noodle: the metal pipe that turns a V brake inner cable through 90 or 130 degrees to go to the handlebar brake lever. To disconnect or reconnect the brake's noodle you would squeeze the end of both brake arms inward toward each other. This presses both brake pads into the rim. If you can reach, hold them in place with your secondary hand, and use your dominant hand to install or remove the noodle from the flippy arm bit. From https://www.chicagobikeblog.com/blog/2014/2/20/how-do-you-get-the-dang-wheel-out There is not a lot of slack to do this; it should be a close fit. The rubber boot just slides out of the way, and when you release the brake arms, they will pull themselves away from the...
Full answer by Criggie: https://bicycles.stackexchange.com/a/71374 (CC BY-SA 4.0).
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