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!
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 ...
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 ...
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, ...
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)
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 ...
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 ...
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 ...
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, ...
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 ...
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 ...
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 ...
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 ...
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 $L = T - U$,...