Troubleshooting Mass & Spring Dynamics

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Discussion Overview

The discussion revolves around the dynamics of a mass-spring system, specifically addressing the behavior of a mass placed on a spring. Participants explore different scenarios related to the mass's placement and the resulting motion of the spring, including equilibrium and energy considerations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant asks for clarification on which aspect of their understanding is incorrect regarding the mass on the spring.
  • Another participant emphasizes the need to specify whether the mass is being dropped or gently placed, indicating that these scenarios represent different problems.
  • A third participant suggests that the first assumption made was incorrect, though it is unclear which assumption is being referenced.
  • It is noted that the force equation only determines the equilibrium point and does not account for the lowest point of the mass's motion, which requires applying energy conservation principles.
  • One participant expresses gratitude for the insights provided.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are differing views on the assumptions made regarding the mass's placement and the implications for the system's dynamics.

Contextual Notes

The discussion highlights potential limitations in the assumptions regarding the initial conditions of the mass-spring system and the definitions of equilibrium versus the lowest point of motion.

Who May Find This Useful

Individuals interested in classical mechanics, particularly those studying dynamics and oscillatory systems, may find this discussion relevant.

Arup Biswas
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Please tell me which one is wrong! When I put a mass M on one end of a spring!
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You need to state the problem. Are you dropping the mass and trying to find out how far it sinks down (before coming back up). Or are you gently placing the mass at its new equilibrium point? Two different problems!
 
The 1st one you assumed!
 
Realize that the force equation solution just finds the equilibrium point, which is not the lowest point. To solve for the lowest point, you'll use energy conservation.
 
Last edited:
Thank you very much sir!
 

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