Conservation Laws - Linear & Angular Momentum Explained

AI Thread Summary
In classical physics, conservation laws are linked to symmetries, with translation symmetry resulting in the conservation of linear momentum and rotational symmetry leading to the conservation of angular momentum. Noether's Theorem provides a mathematical framework that explains this relationship between symmetries and conservation laws. For a deeper understanding, resources that elaborate on Noether's Theorem can be beneficial. A simple Google search using the term "Noether's Theorem" will yield valuable information. Understanding these concepts is crucial for grasping fundamental principles in physics.
shaner-baner
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I have read that in classical physics, symmetry under tranlsation implies conservation of linear momentum, and that symmetry under rotation implies conservation of angular momentum. Could you guys give me a brief explanation, or if the explanation is not brief Point me towards a good website. Thanks
 
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The magic phrase for a Google search on this subject is "Noether's Theorem". :smile:
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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