(Rope) To tie a boat in a harbor. how many times must a

Chapter 1, Problem 1.3

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(Rope) To tie a boat in a harbor. how many times must a rope be wound around a bollard (a vertical rough cylindrical post fixed on the ground) so that a man holding one end of the rope can resist a force exerted by the boat one thousand times greater than the man can exert? First guess. Experiments show that the change /1S of the force S in a small portion of the rope is proportional to S and to the small angle /1 in Fig. 13, Take the proportionality constant 0.15,

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