The Lagrangian Approach to Solving Mechanical Systems
<p>Ina <a href="https://mohammad-yasir.medium.com/generalized-coordinates-constraints-dalemberts-principle-lagrangian-6c65abb09c07" rel="noopener">previous article</a>, I discussed a few basic concepts regarding the Lagrangian approach to classical mechanics, including constraints, generalized coordinates, virtual work, etc. Further, I also listed some limitations that make the Newtonian approach sorely incompetent for systems that deviate even the slightest bit from highly idealized and simplistic scenarios.</p>
<p>Today, we will take a quick glance at the Lagrangian approach to solving problems in classical mechanics by solving a familiar problem: that of the simple pendulum. My argument for this is that once you are through with the solution, you will be able to appreciate just how superior the Lagrangian approach is. However, as we will see, all’s not well even if it does end well with the Lagrangian approach. Let’s get started.</p>
<p><a href="https://mohammad-yasir.medium.com/lagrangian-mechanics-lagrange-equation-simple-pendulum-d0f3f88d4515"><strong>Read Mor</strong>e</a></p>