While the pain had decreased at the time of the trial, she still could not walk comfortably and was unable to raise her arms above her head. For two months after the accident Mrs. Lutz was unable to do her usual housework and her shopping had to be done by her son and neighbors.
Dr. Fetherston testified that in his opinion the symptoms of pain were attributable to the accident. Dr. Bruno, the orthopedic surgeon, stated that the compression fracture of Mrs. Lutz' lumbar vertebra was also, in his opinion, caused by the accident. The condition was permanent and would cause pain. Dr. Bruno prescribed a back corset for Mrs. Lutz, to be worn for three months. Mrs. Lutz testified that she had difficulty putting the corset on. Dr.on his head in an old sci-fi movie.

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It sounds very much like you're describing the film Logan's Run.

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The Shape of Things to Come, starring Jack Palance as the villain.

There is a "Citadel – a massive tower controlled by Omus and his robot minions" in the film as well as a robot with the flexible arms, Sparky. I haven't found a picture of the weapon, but the description from Wikipedia is:

Omus refuses to listen and then dons a transparent helmet where he shows Caball another creation – a spinning disco ball-like device that drives Caball mad with pain and eventually kills him.

Another site described the device as looking like a "spinning bundt cake" and notes that Jason was able to snatch the helmet from Omus and protect himself.
And indeed,