Help on Question: A Lightly Damped System Vibrates

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A lightly damped system with a period of 15.0 seconds experiences a significant amplitude reduction from 50 cm to 5.00 mm in 30 seconds. The discussion focuses on determining the new period if the damping force is removed, emphasizing the importance of understanding the natural frequency, denoted as ω₀, which is the frequency without damping. The equation A = A(max) * e^(-wt) * cos(wt + ...) is referenced to analyze the amplitude decay. Participants suggest calculating the damping factor "w" based on the given amplitude change over time. Accurate calculations and further assistance can be sought through direct contact for more detailed help.
Ady_h
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Help on question, pleasezzzzzz

Hi, iv been struggling with this question for some time now, so i thought if some1 can help on the follwoing quiestion:

Q) A lightly damped system vibrates with a period of 15.0s. In half a minute its amplitude decreases from 50cm to 5.00mm. What would be the period if the damping force were removed?

Thank you if u answer this question. :::ADY::: :smile: :smile: :smile:
 
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There is a fuction describing this.
As far as I can remember,it is A=A(max)*e^(-wt)*cos(wt+...)
Since you know that "In half a minute its amplitude decreases from 50cm to 5.00mm." you can find how much is that "w".But I am not very sure,may I can tell you the accurate one if you contact me at wangkehandsome@hotmail.com later.
 
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