Explanation Given: Work done = 13 ft-lb to move the object 6 ft Work done = 44 ft-lb to move the object 12 ft Calculation: Assume that the force be given by a general linear function a x + b , Then the work done W 1 in moving the object by 6ft is W 1 = ∫ 0 6 ( a x + b ) d x 13 = [ a x 2 2 + b x ] 0 6 13 = 18 a + 6 b . And similarly the work done W 2 in moving the object by 12 ft is W 2 = ∫ 0 12 ( a x + b ) d x 44 = [ a x 2 2 + b x ] 0 12 44 = 72 a + 12 b . Divide the equation 44 = 72 a + 12 b

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

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Chapter 6, Problem 69SP

To determine

To find:the force function F

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Chapter 6, Problem 68SP

Chapter 6, Problem 70SP

Chapter 6 Solutions

Calculus

Ch. 6.1 - Prob. 1PS Ch. 6.1 - Prob. 2PS Ch. 6.1 - Prob. 3PS Ch. 6.1 - Prob. 4PS Ch. 6.1 - Prob. 5PS Ch. 6.1 - Prob. 6PS Ch. 6.1 - Prob. 7PS Ch. 6.1 - Prob. 8PS Ch. 6.1 - Prob. 9PS Ch. 6.1 - Prob. 10PS

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the force function F

Solution Summary: The author explains how to find the force function F by comparing the expressions for a and b.

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Chapter 6 Solutions