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Newtonian mechanics discusses the movement of classical bodies under the influence of forces by applying Newton’s three laws. For more general concepts, use [classical-mechanics]. For Newton’s description of gravity, use [newtonian-gravity].
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Capstan equation with only one end of rope under tension
I think that, in general, the idea is the same as in the equation with two tensions, but one of them will be replaced with the “stickiness force” on the end of the rope.