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Figure 6.21 shows two bodies, A and B, connected by four linear springs. The springs are at their natural positions when there is no force applied to the bodies. The displacements x¡ and x2 of the bodies under any applied force can be found by minimizing the potential energy of the system. Find the displacements of the bodies when forces of 1000lb and 2000 lb are applied to bodies A and B, respectively, using Newton's method. Use the starting vector, X1 = {0}; Hint: Potential energy of the system = strain energy of springs – potential of applied loads where the strain energy of a spring of stiffness k and end displacements x¡ and x, is given by k(x2 – x1)² and the potential of the applied force, F¡, is given by x; F; .

Figure 6.21 shows two bodies, A and B, connected by four linear springs. The springs are at their natural positions when there is no force applied to the bodies. The displacements x¡ and x2 of the bodies under any applied force can be found by minimizing the potential energy of the system. Find the displacements of the bodies when forces of 1000lb and 2000 lb are applied to bodies A and B, respectively, using Newton's method. Use the starting vector, X1 = {0}; Hint: Potential energy of the system = strain energy of springs – potential of applied loads where the strain energy of a spring of stiffness k and end displacements x¡ and x, is given by k(x2 – x1)² and the potential of the applied force, F¡, is given by x; F; .

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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200 Ib/in. 100 Ib/in. В www ww A 300 Ib/in. 2000 Ib. 1000 Ib. 400 Ib/in. x1 x2 Figure 6.21 Two bodies connected by springs.
Transcribed Image Text:200 Ib/in. 100 Ib/in. В www ww A 300 Ib/in. 2000 Ib. 1000 Ib. 400 Ib/in. x1 x2 Figure 6.21 Two bodies connected by springs.
6.5 Figure 6.21 shows two bodies, A and B, connected by four linear springs. The springs are at their natural positions when there is no force applied to the bodies. The displacements xị and x2 of the bodies under any applied force can be found by minimizing the potential energy of the system. Find the displacements of the bodies when forces of 1000lb and 2000 lb are applied to bodies A and B, respectively, using Newton's method. Use the starting vector, X1 = {8}. Hint: Potential energy of the system = strain energy of springs – potential of applied loads where the strain energy of a spring of stiffness k and end displacements x¡ and x2 is given by k(x2 – x)² and the potential of the applied force, Fi, is given by x; F;.
Transcribed Image Text:6.5 Figure 6.21 shows two bodies, A and B, connected by four linear springs. The springs are at their natural positions when there is no force applied to the bodies. The displacements xị and x2 of the bodies under any applied force can be found by minimizing the potential energy of the system. Find the displacements of the bodies when forces of 1000lb and 2000 lb are applied to bodies A and B, respectively, using Newton's method. Use the starting vector, X1 = {8}. Hint: Potential energy of the system = strain energy of springs – potential of applied loads where the strain energy of a spring of stiffness k and end displacements x¡ and x2 is given by k(x2 – x)² and the potential of the applied force, Fi, is given by x; F;.
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