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Refer to Example 4.1. If each of the springs must be stretched a distance d to attach the particle at the equilibrium position (i.e., in its equilibrium position, the particle is subject to two equal and oppositely directed forces of magnitude kd), then show that the potential in which the particle moves is approximately U(x) = (kd/l)x² + [k(1 – d)/4l³]x*

Refer to Example 4.1. If each of the springs must be stretched a distance d to attach the particle at the equilibrium position (i.e., in its equilibrium position, the particle is subject to two equal and oppositely directed forces of magnitude kd), then show that the potential in which the particle moves is approximately U(x) = (kd/l)x² + [k(1 – d)/4l³]x*

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Refer to Example 4.1. If each of the springs must be stretched a distance d to attach the particle at the equilibrium position (i.e., in its equilibrium position, the particle is subject to two equal and oppositely directed forces of magnitude kd), then show that the potential in which the particle moves is approximately 4-1. U(x) = (kd/l)x² + [k(I – d)/4l³]x*
Transcribed Image Text:Refer to Example 4.1. If each of the springs must be stretched a distance d to attach the particle at the equilibrium position (i.e., in its equilibrium position, the particle is subject to two equal and oppositely directed forces of magnitude kd), then show that the potential in which the particle moves is approximately 4-1. U(x) = (kd/l)x² + [k(I – d)/4l³]x*
m (a) Equilibrium position (b) Extended position FIGURE 4-3 Example 4.1. A double spring system in (a) equilibrium and (b) extended positions. elllee le
Transcribed Image Text:m (a) Equilibrium position (b) Extended position FIGURE 4-3 Example 4.1. A double spring system in (a) equilibrium and (b) extended positions. elllee le
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