Linked Questions

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1answer
2k views

Why do we prefer “Lagrangian and Hamiltonian mechanics ” over the newtonian mechanics? [duplicate]

Basically, I just want to know the advantages of Lagrangian and Hamiltonian mechanics over Newtonian mechanics, that made it much more preferable and widely used!
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1answer
1k views

Using Lagrangian mechanics instead of Newtonian mechanics [duplicate]

When studying advanced classical mechanics, we all study about Lagrangians and the Euler-Lagrange equations and their importance. Of course, the Lagrangian is calculated based on the potential and ...
1
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2answers
178 views

Lagrangian formulation compared to the Newtonian formulation: connection high schools with the universities [duplicate]

What are the immediate advantages of the Lagrangian formulation compared to the Newtonian formulation to give high school students a little connection to what they'll find in universities? I can't use ...
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3answers
287 views

How is Lagrangian Mechanics useful? [duplicate]

I recently started reading about Lagrangian Mechanics. I observed that it uses some basic expressions that are derived by taking Newton's laws of motion as fundamental such as kinetic energy, ...
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1answer
98 views

Which mechanics is best? [duplicate]

Is there any specific reason for using Newton mechanics instead of Hamiltonian or any other theory of mechanics. I am asking just out of curiosity (I know nothing about Hamiltonian mechanics)
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0answers
113 views

Is it better to use Lagrangian mechanics for all cases? [duplicate]

I am in high school and I need to solve lots of problems which involve spring-block systems, pendulums, damped oscillations and so on. I am learning Lagrangian mechanics and I am already quite ...
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0answers
46 views

What is Lagrangian mechanics? And how is it different from Newtonian mechanics? [duplicate]

I am only 15 year old,but I am terribly interested in physics. Once I was watching some kind of interesting lecture,and I came across Lagrangian-mechanics. What is it? How is it different from ...
0
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0answers
42 views

Classical method VS Hamiltonian method [duplicate]

I'm very confuse with the method using Hamiltonian to derive the equation of the movement. In example I have, it's easier to derive the equation of the movement using classical method (namely 2nd law ...
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0answers
28 views

In what situations would it be more beneficial to use Newtonian Formalism vs Lagrangian Formalism? [duplicate]

I'm studying for an exam in Classical Mechanics, and I was curious to know when it is more appropriate to use Lagrangian vs Newtonian Formalism. I know that Lagrangian Formalism much more efficient, ...
97
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10answers
30k views

Why the Principle of Least Action?

I'll be generous and say it might be reasonable to assume that nature would tend to minimize, or maybe even maximize, the integral over time of $T-V$. Okay, fine. You write down the action ...
11
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3answers
16k views

Advantages of Lagrangian Mechanics over Newtonian Mechanics [closed]

Here, I'm going to pose a very serious list of doubts I have on Lagrangian Mechanics. Can we learn Lagrangian Mechanics without studying Newtonian Mechanics? Does Lagrangian help in solving problems ...
16
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2answers
12k views

What exactly are Hamiltonian Mechanics (and Lagrangian mechanics)

What exactly are Hamiltonian Mechanics (and Lagrangian mechanics)? I want to self-study QM, and I've heard from most people that Hamiltonian mechanics is a prereq. So I wikipedia'd it and the entry ...
5
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2answers
945 views

Is it circular reasoning to derive Newton's laws from action minimization?

Usually, a typical example of the use of the action principle that I've read a lot is the derivation of Newton's equation (generalized to coordinate $q(t)$). However, in the classical mechanics ...
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0answers
613 views

Can you give example of some problems with solutions in each of Newtonian, Lagrangian and Hamiltonian method? [closed]

I am a student from information system and just want to know about classical mechanics. I know Newtonian mechanics from high school and I have read about Lagrangian and Hamiltonian mechanics in ...
0
votes
2answers
294 views

Lagrangian & Newtonian Force

It is written in standard textbooks on classical mechanics that, advantage of Lagrangian equations is that nowhere do enter statement regarding (Newtonian) force. e.g. To find Lagrangian $L = T - U$,...

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