Differential Equation of an Ideal spring [part_2] | Learn With Fardin
Channel: Learn With Fardin
Date: 2021-07-02

Here I tried to demonstrate to you how to easily solve the equation of motion of an ideal spring. In this video, I used the Lagrangian method to get to that second-order differential equation. 
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In the previous video, I showed you how to easily solve the second-order differential equation of spring's position as a function of time! There I used the traditional way [Newtonian Mechanics] to get to that differential equation! If you haven't seen it yet, Check it out: https://youtu.be/1HWofQ9xsEk
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Chapters 
at 
0:00 , Introduction.
0:29 , Explanation of the following figures.
0:55 , Finding the Lagrangian!
2:25  The Euler Lagrange Equation
5:20  Evaluated the equation of motion
6:50  Why do we define omega squared as k over m?

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#Lagrangian_Mechanics
#Second_order_differntial_equation
#Simple_Harmonic_Motion
#Equation_of_motion_of_spring
#Solution_for_differential_equation_of_spring
#LearnWithFardin