Energy transfer between two coupled masses

AI Thread Summary
The discussion focuses on the energy transfer between two coupled masses with normal mode frequencies wa and wb. When one mass is displaced, the time for energy to transfer to the other mass and back is suggested to be twice the period of the kinetic energy of the displaced mass. The difference in frequencies wa and wb is linked to the coupling strength, which influences the energy transfer time. The problem is framed as a general review question for an upcoming midterm, emphasizing the fundamental principles without needing specific coupling details. Understanding these relationships is crucial for solving similar problems in the context of coupled oscillators.
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Homework Statement


A system consists of two masses. The system has normal modes of frequency wa and wb. Suppose one of the masses is displaced. How long will it take for energy to be transferred to the other mass and then back to the first mass.


this question is a review question for my coming midterm. I believe the question is a general one that doesn't assume or require you to know how they are coupled exactly since nothing else is given

Homework Equations





The Attempt at a Solution



Does it suffice to say ,

If we have the equations x1,x2- functions that represent the displacement of the objects from equilibrium- and 1 is displaced then the time required for the energy to transfer from 1 to 2 then back to 1 is twice the period of the kinetic energy of q1 = x1-x2.
 
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Hint: The difference wa-wb is related to the coupling strength, and this is related to the energy transfer time.
 

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