Problems based on Lagrangian Equation Part 1

Problems based on Lagrangian Equation Part 1

Photo by Dan Cristian Pădureț on Unsplash

The blog post explains Lagrangian Equation. Here we will solve the problems based on that equation.

 

The following steps are involved in the solution:

1. Define Generalized coordinates.

2. Define potential and kinetic energies in that coordinate.

3. Obtain lagrangian by L=T-V.

4. Put the value of L in the Lagrangian equation.

5. Since Lagrangian Equation involves derivatives we simplify the equation. 

6. Rearrange to get an equation of motion for the respective problem.