Question

Using the equality (16), check that for a path along which $\delta Q=0$, the Lagrangian equations (11) are satisfied.

   Using the equality (16), check that for a path along which $\delta Q=0$, the Lagrangian equations (11) are satisfied.

Principles of Mathematical Modelling: Ideas, Methods, Examples

Principles of Mathematical Modelling: Ideas, Methods, Examples

Alexander A.… 1st Edition

Chapter 3, Problem 3

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Since they're not provided in the question, I'll work with the standard forms of these equations in thermodynamics and classical mechanics. Equation (16) likely refers to the relationship between heat transfer and generalized coordinates: δQ = ∑ᵢ (∂L/∂q̇ᵢ) Show more…

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Using the equality (16), check that for a path along which $\delta Q=0$, the Lagrangian equations (11) are satisfied.

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