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5.10 * The force on a mass m at position x on the x axis is F = -F, sinh ax, where F, and a are constants. Find the potential energy U(x), and give an approximation for U(x) suitable for small ocillations. What is the angular frequency of such oscillations?

5.10 * The force on a mass m at position x on the x axis is F = -F, sinh ax, where F, and a are constants. Find the potential energy U(x), and give an approximation for U(x) suitable for small ocillations. What is the angular frequency of such oscillations?

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
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5.10 classic mechanics 

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5.10 * The force on a mass m at position x on the x axis is F = -F, sinh ax, where F, and a are constants. Find the potential energy U(x), and give an approximation for U(x) suitable for small oscillations. What is the angular frequency of such oscillations?
Transcribed Image Text:5.10 * The force on a mass m at position x on the x axis is F = -F, sinh ax, where F, and a are constants. Find the potential energy U(x), and give an approximation for U(x) suitable for small oscillations. What is the angular frequency of such oscillations?
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