Can Lagrangian Method be Applied to Solve Rocket Motion Equations?

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SUMMARY

The discussion centers on the application of the Lagrangian method to solve rocket motion equations, specifically in one dimension using Newton's laws. The participant encountered difficulties in obtaining correct results, particularly when attempting to eliminate equations, leading to incorrect formulations that do not accurately represent rocket motion. Key variables such as the small mass ejected from the rocket were also questioned, indicating a need for clarity in defining the system's parameters.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the Lagrangian method in classical mechanics
  • Knowledge of rocket motion dynamics
  • Basic grasp of differential equations
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Abhishek11235
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Homework Statement


While solving equation of rocket motion with Newton's law in 1-d,I pondered to apply Lagrangian method on this. However, I didn't get correct result. Because I can eliminate last 2nd equation using last equation and get some other equation which is certainly not rockets motion.

Homework Equations

The Attempt at a Solution


The attempt is given in screenshot.
 

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Abhishek11235 said:
all variables and given/known data
What is ##dm## ? Dimension ?
 
BvU said:
What is ##dm## ? Dimension ?
A small mass ejected from rocket
 
So you don't describe a rocket but a vessel that throws some object off the ship in a backward direction ?
 

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