Good morning working in a theater as a scenographer, I have to make a rocking chair that moves by itself. I was thinking of using 2 cables installed at the front and back of the chair, placed under a stage, with guide pulleys. The 2 cables would then be connected to a motor with an arm which would go from left to right. This is my problem because I don’t know what kind of motor or accessories to use for this (I am a trained cabinetmaker). Thank you very much for your assistance
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Hi @ZaZa and welcome to our forum.
I think you can find a lot of examples for this rocking chair online, mostly related to Halloween props 
Usually it’s just a motor powered from battery or wall adapter and some simple mechanical system. Here are some examples: