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A particle of unit mass is projected so that its total energy k in a field of force of which the potential energy is (r) at a distance r the origin. Deduce from the principles of energy and least action that e differential equation of the path is dr 2. c2 = r+(h - 0(r)}

A particle of unit mass is projected so that its total energy k in a field of force of which the potential energy is (r) at a distance r the origin. Deduce from the principles of energy and least action that e differential equation of the path is dr 2. c2 = r+(h - 0(r)}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A particle of unit mass is projected so that its total energy ak in a field of force of which the potential energy is (r) at a distance r hthe origin. Deduce from the principles of emergy and least action that e differential equation of the path is {*•C)} r2 + de c2 %3D
Transcribed Image Text:A particle of unit mass is projected so that its total energy ak in a field of force of which the potential energy is (r) at a distance r hthe origin. Deduce from the principles of emergy and least action that e differential equation of the path is {*•C)} r2 + de c2 %3D
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