First-Order Principles of Classical Mechanics

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Understanding the first-order principles of classical mechanics is essential for grasping the subject deeply. Newton's Laws serve as the foundational axioms from which many other principles, such as conservation of momentum and energy, can be derived. The discussion emphasizes the importance of not just memorizing formulas but also comprehending their underlying principles. Resources that focus on these foundational concepts are sought to strengthen understanding before advancing in physics studies. A solid grasp of these principles will enhance the application of classical mechanics in future coursework.
MJay82
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My Physics teacher yesterday said something that gave me pause. He was talking about the necessity of clearly understanding the first-order principles of the science we study.

Last semester I took Classical Mechanics (part 1 of the Introduction to Calculus-Based Physics at my college) with a teacher who didn't stress first-order principles. He did derive formulas, but then quickly expected us to apply the derivations without giving additional thought to the first-order principles.

Could someone direct me toward a book or link that really gets into the principles behind the formulas for classical mechanics? I really want to build a strong foundation before I continue on in my study of physics.

Thanks for any help!
Michael J
 
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What you mean by first order principles? You mean the axioms of classical mechanics? Basically Newton's Laws are the axioms. In classical mechanics many principles like conservation of (linear or angular) momentum or conservation of mechanical energy or the work-energy(potential or kinetic) theorem can be derived from Newton Laws.
 
Okay - that makes a lot of sense to start with Newton's laws - thanks. Also, deriving velocity and acceleration kinematic formulas - but that seems easier. Thanks - I'll start looking at the rest of the course material by thinking about different ways to express Newton's laws.
 
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