Max Amplitude for a 2 mass oscillation system

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Homework Help Overview

The discussion revolves around a two-mass oscillation system involving a spring and the conditions under which it remains in simple harmonic motion. The original poster seeks to determine the maximum amplitude for this system.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between amplitude, acceleration, and gravitational forces. Questions arise regarding the implications of increasing amplitude on the system's behavior, particularly concerning slack in the connecting string and the spring's properties.

Discussion Status

Some participants have offered insights into the mechanics of the system, suggesting that the relationship between acceleration and gravity is crucial to understanding the limits of amplitude. There is an ongoing exploration of the factors that affect the spring's behavior and the conditions for maintaining simple harmonic motion.

Contextual Notes

Participants are considering the effects of increasing amplitude on the system, including potential constraints related to the spring's elasticity and the dynamics of the two-mass setup. There is a lack of consensus on the specific maximum amplitude, and assumptions about the system's behavior are being questioned.

daredevile125
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Homework Statement




A mass of "m" is attached to the bottom of a vertical suspended spring with spring constant "k". Attached to that mass is a string , that is connected to a second mass also equal to "m".

What is the maximum amplitude for the two-mass oscillation system in order for it to remain "simple harmonic" ?
 
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As the amplitude increases the acceleration of the masses increases. When the acceleration is greater then that of gravity there will be slack in the string?
 
ahh thank you that sounds reasonable, I was thinking it had something to do with the spring being inelastic anymore , but that makes more sense , tyvm.
 
acc max = A w^2

g = A K/2m

A= 2gm/k
 

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