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This tag is for non-relativistic material strings, such as, e.g., a guitar string. PLEASE DO NOT USE THIS TAG for relativistic strings and string theory.
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Why is the tension force in a rope with two different forces acting on it uniform?
It goes over conservation of string with different pulley configurations which is what I figure you’re confused about and not a generic Atwood machine. Let me know if this helps! … Atwood Machine/Conservation of String Lecture …