📚 Learning Guide
Classical Mechanics Principles
easy

Arrange 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.

Master this concept with our detailed explanation and step-by-step learning approach

Learning Path
Learning Path

Question & Answer
1
Understand Question
2
Review Options
3
Learn Explanation
4
Explore Topic

Choose the Best Answer

A

A → C → B → D

B

A → B → C → D

C

C → A → D → B

D

A → D → B → C

Understanding the Answer

Let's break down why this is correct

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 first written, showing how objects move. Other options are incorrect because This option puts Euler-Lagrange before the Principle of Least Action, which is incorrect; Starting with the Principle of Least Action and putting Newton’s Laws after is historically wrong.

Key Concepts

Newton's Laws
Principle of Least Action
Hamilton's equations
Topic

Classical Mechanics Principles

Difficulty

easy level question

Cognitive Level

understand

Ready to Master More Topics?

Join thousands of students using Seekh's interactive learning platform to excel in their studies with personalized practice and detailed explanations.