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A
A → C → B → D
B
A → B → C → D
C
C → A → D → B
D
A → D → B → C
Understanding the Answer
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Answer
Newton’s Laws came first, forming the foundation of classical mechanics. From there, the Principle of Least Action was introduced, showing that motion follows a path that makes the action minimal. The Euler‑Lagrange equations then emerged as the mathematical tool derived from that principle, linking a system’s Lagrangian to its equations of motion. Finally, Hamilton’s equations were developed, providing a reformulation of mechanics in terms of energy and phase space. For example, a simple pendulum follows Newton’s second law, but its motion can also be described by minimizing action, solving Euler‑Lagrange equations, and then using Hamilton’s equations to study its phase portrait.
Detailed Explanation
Newton's Laws were the first ideas that explained how objects move. Other options are incorrect because This answer puts the Euler‑Lagrange equations before the Principle of Least Action; It starts with the Principle of Least Action before Newton's Laws.
Key Concepts
Newton's Laws
Principle of Least Action
Hamilton's equations
Topic
Classical Mechanics Principles
Difficulty
easy level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1Arrange the following concepts in the correct order of their development in classical mechanics: A) Newton's Laws, B) Euler-Lagrange equations, C) Principle of Least Action, D) Hamilton's equations.
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2
Question 2Which of the following scenarios best illustrates the Principle of Least Action in classical mechanics?
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3
Question 3In classical mechanics, the behavior of a system can be described using the principle of _____, which states that the path taken by a system is the one that minimizes the action integral.
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Question 4Which of the following scenarios best illustrates the Principle of Least Action in classical mechanics?
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Question 5In classical mechanics, the behavior of a system can be described using the principle of _____, which states that the path taken by a system is the one that minimizes the action integral.
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