https://physics.codidact.com/categories/54/tags/4716.rss New Posts Tagged 'lagrangian-formalism' - Physics Physics - Codidact 2021-12-10T07:52:27Z https://physics.codidact.com/posts/284050 Find a trajectory such that the action is a minimum deleted user # 2021-09-07T16:25:02Z 2021-12-10T07:52:27Z <blockquote> <p>A particle is subjected to the potential V (x) = −F x, where F is a constant. The particle travels from x = 0 to x = a in a time interval t0 . Assume the motion of the particle can... https://physics.codidact.com/posts/283684 What does Lagrangian actually represent? deleted user # 2021-08-24T10:22:59Z 2021-09-04T07:29:15Z <p>$L=T-U$ Here, $L$ is Lagrangian. T is kinetic energy. U is potential energy. But, what Lagrangian actually is? I know what Holonomic and non-holonomic is. But, I was thinking what the Lagrangian... https://physics.codidact.com/posts/283918 Find equation of motion using. Lagrangian given equation is $L'=\frac{m}{2}(a\dot{x}^2+2b\dot{x}{y}+c\dot{y}^2)-\frac{k}{2}(ax^2+2bxy+cy^2)$ deleted user # 2021-09-02T04:53:19Z 2021-09-02T07:42:29Z <blockquote> <p>$$L'=\frac{m}{2}(a\dot{x}^2+2b\dot{x}{y}+c\dot{y}^2)-\frac{k}{2}(ax^2+2bxy+cy^2)$$<br>where a, b, and c are arbitrary constants but subject to the condition that $b^2 − ac \ne 0$. ... https://physics.codidact.com/posts/283683 Prove differential form of Lagrangian deleted user # 2021-08-24T10:00:27Z 2021-08-24T13:27:05Z <p>How to derive the Lagrangian differential force?</p> <p>$$\frac{d}{dt}(\frac{\partial L}{\partial \dot{x}})+\frac{\partial L}{\partial x}=0$$</p> <p>I was trying to do something.</p> <p>L=T... https://physics.codidact.com/posts/280611 How do constraints work in Lagrangian systems? Ezekiel‭ https://physics.codidact.com/users/53263 2021-01-30T16:32:09Z 2021-01-31T00:13:45Z <p>I have a question about the discussion of constrained Lagrangian systems in the book <em>Mathematical Aspects of Classical and Celestial Mechanics</em> by Arnold et al. (section 1.2.5).</p> <p>...