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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterP: Prologue: Calculator Arithmetic

Section: Chapter Questions

Problem 18E: When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the...

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Question

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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