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Exam (elaborations)

1: Lagrangian Mechanics UPDATED ACTUAL Exam Questions and CORRECT Answers

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1: Lagrangian Mechanics UPDATED ACTUAL Exam Questions and CORRECT Answers L = T-V - CORRECT ANSWER - Lagrangian the action functional of the system derived from L must remain at a stationary point throughout the time evolution of the system. Classical paths extremise the action, S. - CORRECT ANSWER - The Principle of Least Action S [q] ≡ tf_ti∫ L dt - CORRECT ANSWER - The action (∂L/∂q) - d/dt (∂L/∂q' ) = 0 - CORRECT ANSWER - Euler Lagrange eqn.

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Uploaded on
April 7, 2025
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Written in
2024/2025
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1: Lagrangian Mechanics UPDATED
ACTUAL Exam Questions and CORRECT
Answers
L = T-V - CORRECT ANSWER - Lagrangian


the action functional of the system derived from L must remain at a stationary point throughout
the time evolution of the system. Classical paths extremise the action, S. - CORRECT
ANSWER - The Principle of Least Action



S [q] ≡ tf_ti∫ L dt - CORRECT ANSWER - The action



(∂L/∂q) - d/dt (∂L/∂q̇' ) = 0 - CORRECT ANSWER - Euler Lagrange eqn.



the classical eqns of motion for Lagrangian mechanics - CORRECT ANSWER - Euler
Lagrange eqn. definition


A: action of variation
D: differentiate (keeping q and e constant)
S: simplify
I: integrate (by parts)

E: equation! - CORRECT ANSWER - deriving EL using explicit variation


A deranged swordsman can't do karate easily.
A: action
D: derive
S: separate
C: collect

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