How Do PE and KE Interact in a Vibrating String?

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Homework Statement



nmkrab.png


Homework Equations





The Attempt at a Solution


35m2ic2.png
 
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bumpp
 
any ideas to show how they are independent of time? (Other than brute-force integration)
 
bumpp
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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