Exponential decay of a pendulum oscillation amplitude

  • #1

Homework Statement


I found an answer on the internet for this problem, but I'm not sure on one of the steps. The solution says, "Take ln of both sides to get rid of Ae. If we do that, then the right side will be ln(Ae^t/T). I don't see how using ln will get rid of Ae?

Homework Equations


Refer to the image in part 3.

The Attempt at a Solution


IMG_2317.jpeg
 

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Answers and Replies

  • #2
Ssnow
Gold Member
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Hi, I remember you the property of ##\ln##:

##\ln{(A\cdot B)} \,=\, \ln{A}+\ln{B}##

apply this to the right side ## \ln{(Ae^{-\frac{t}{T}})}##, what is the result ?

Ps. remember also that ##\ln{(A^B)}=B\ln{A}##.
Ssnow
 

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