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Engineering and Tech / Engineering Mechanics: Statics 13 / Chapter 8 / Problem 8-85

Engineering Mechanics: Statics | 13th Edition | ISBN: 9780132915540 | Authors: R. C. Hibbeler

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A hawser is wrapped around a fixed capstan to secure a

Chapter 8, Problem 8-85

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QUESTION:

A “hawser” is wrapped around a fixed “capstan” to secure a ship for docking. If the tension in the rope, caused by the ship, is 1500 lb, determine the least number of complete turns the rope must be rapped around the capstan in order to prevent slipping of the rope. The greatest horizontal force that a longshoreman can exert on the rope is 50 lb. The coefficient of static friction is \(\mu_s = 0.3\).

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QUESTION:

A “hawser” is wrapped around a fixed “capstan” to secure a ship for docking. If the tension in the rope, caused by the ship, is 1500 lb, determine the least number of complete turns the rope must be rapped around the capstan in order to prevent slipping of the rope. The greatest horizontal force that a longshoreman can exert on the rope is 50 lb. The coefficient of static friction is \(\mu_s = 0.3\).

ANSWER:

Using the equation Fn= ?Fn, where Fn is the normal force and ? is the coefficient of static friction, we can find the minimum value of the normal force

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