How do you find the force extended if given the amplitude? Forced Oscillations

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Homework Help Overview

The discussion revolves around a problem in forced oscillations, specifically concerning the relationship between amplitude and the force extended in a spring-mass system. The original poster presents a scenario involving a mass attached to a spring and a sinusoidal driving force, seeking to determine the frequency at which the system vibrates with a specified amplitude.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to derive a relationship involving the natural frequency and the external force, questioning how to incorporate amplitude into their calculations. Some participants seek clarification on the term "force extended" and its implications in the context of the problem, while also inquiring about the nature of the system's motion (transient vs. steady-state).

Discussion Status

The discussion is ongoing, with participants exploring definitions and implications of terms used in the problem. Some guidance has been provided regarding the interpretation of external force notation, and there is a recognition of the importance of asking the right questions in scientific inquiry.

Contextual Notes

There is a mention of the absence of damping in the system, and the original poster is working within the constraints of a homework problem that may impose specific rules or assumptions regarding the analysis of forced oscillations.

randoreds
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How do you find the force extended if given the amplitude? Is main questions, I also have one slight question.

Ok, doing a problem. There is no damping. A (.15kg) object is hanging from a light(6.30N/m) spring.

A sinusoidal force with an amp of 1.7 N drives the system. And the problem is asking at what frequency will the force make the object vibrate with an amp of .44m

So I'm solving and my final equation is ω^2= w°^2 plus or minus (( Fext/m)/A)
Where ω = natural frequency and ω°= frequency of the driving force.

So my questions are how would I find the force extended given the amplitude and ω^2= w°^2 plus or minus (( Fext/m)/A(------ Would I plug in .44 for that A?

Thanks in advance!
 
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What does "force extended" mean?
What role does it play in the motion?

Is the situation one that is transient or steady-state?
Do you have equations for those situations in your notes?

note: ##F_{ext}## is usually notation for an external force... just saying.
 
Last edited:
Simon Bridge said:
What does "force extended" mean?
What role does it play in the motion?

Is the situation one that is transient or steady-state?
Do you have equations for those situations in your notes?

note: ##F_{ext}## is usually notation for an external force... just saying.

Thanks, I can't believe I didn't think of that! I got the right answer.That took way longer than it should have!
 
Very often in science, it is not so much a question of getting the right answers as asking the right questions :)
 

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