Understanding Coupled Oscillations: The Impact of Gravity on Displaced Particles

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Discussion Overview

The discussion centers on the effects of gravity on a system of coupled oscillators, specifically a setup involving two springs and two masses. Participants explore how gravity influences the equilibrium position and the dynamics of the system when the particles are displaced and released simultaneously.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes a system of two springs and two masses hanging from a ceiling and questions the role of gravity when both masses are displaced equally and released.
  • Another participant asserts that gravity will have an effect on the system.
  • A third participant agrees with the previous points, noting that gravity will influence the equilibrium position of the system.
  • One participant elaborates that in a Newtonian framework, gravitational and elastic forces are the primary influences on the movement, assuming friction and air resistance are negligible.
  • This participant also suggests that moving one particle alone can disrupt the equilibrium between the forces and initiate oscillations.

Areas of Agreement / Disagreement

Participants generally agree that gravity affects the system, particularly its equilibrium position. However, there is no consensus on the detailed implications of this effect or how it interacts with the oscillatory behavior of the masses.

Contextual Notes

Participants have not fully explored the mathematical implications of their claims, and assumptions regarding the neglect of friction and air resistance may limit the discussion's applicability.

starbaj12
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I have a system that consist of the first spring attached to a ceiling and a first mass is attached to this spring. Then a second spring is attached to this first mass. Finally I have another mass attached to the second spring. So all of it is just hanging down. (I hope this is a good enough explanation). Will gravity have any effect; when the particles are displaced assuming the particles are displaced the same distance and released at the same time.

Thank you
 
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Yes, gravity will have an effect.
 
As Integral said, gravity will have an effect.
To be precise, gravity will influence what the equilibrium position will be.
 
starbaj12 said:
I have a system that consist of the first spring attached to a ceiling and a first mass is attached to this spring. Then a second spring is attached to this first mass. Finally I have another mass attached to the second spring. So all of it is just hanging down. (I hope this is a good enough explanation). Will gravity have any effect; when the particles are displaced assuming the particles are displaced the same distance and released at the same time.

Thank you


In a Newtonian approach,the gravitational force and the elastic force are the only ones who could influence the movement,provided that you neglect all effects of friction/air resistance.It takes to move only one particle (and not both at the same time) to destroy the equilibrium between the 2 forces mentioned ealier and set this device into permenent oscillation.
 

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