What is the amplitude of an oscillating spring with a 185g mass at 5.2Hz?

hopperd
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Homework Statement


a 185g mass attached to a horizontal spring oscilates at 5.2Hz. At t=0s, the amss is at x=5.80 and has a vx=-40.0cm. determine the amplitude


Homework Equations





The Attempt at a Solution

 
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welcome to pf!

hi hopperd! welcome to pf! :wink:

it's shm, so write a differential equation, and solve it with the given initial conditions …

what do you get? :smile:
 
Thanks,
Thats the problem. I have tried 3 diff equations, and get the same answer, but it's the wrong one. So I must be missing something. What equation would you use?
 
hi hopperd! :wink:

show us your full calculations, and the official answer, and then we'll see what went wrong, and we'll know how to help! :smile:
 
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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