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Q2. 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 1000 times greater than the man can exert? First guess. Experiments show that the change AS of the force S in a small portion of the rope is proportional to S and to the small angle Ao in Fig. 16. Take the proportionality constant 0.15. The result should surprise you! Small portion of rope Ad S+AS

Q2. 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 1000 times greater than the man can exert? First guess. Experiments show that the change AS of the force S in a small portion of the rope is proportional to S and to the small angle Ao in Fig. 16. Take the proportionality constant 0.15. The result should surprise you! Small portion of rope Ad S+AS

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q2. 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 1000 times greater than the man can exert? First guess. Experiments show that the change AS of the force S in a small portion of the rope is proportional to S and to the small angle A¢ in Fig. 16. Take the proportionality constant 0.15. The result should surprise you! Small portion of rope S+AS
Transcribed Image Text:Q2. 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 1000 times greater than the man can exert? First guess. Experiments show that the change AS of the force S in a small portion of the rope is proportional to S and to the small angle A¢ in Fig. 16. Take the proportionality constant 0.15. The result should surprise you! Small portion of rope S+AS
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