What variables affect the amplitude and equilibrium of waves and springs?

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Discussion Overview

The discussion centers around the variables that affect the amplitude and equilibrium of waves and springs, specifically focusing on kinetic energy (KE), potential energy (PE), velocity, acceleration, and force. Participants express confusion regarding the relationships between these variables at different points in the motion of waves and springs.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant notes that kinetic energy is maximum at equilibrium while potential energy is maximum at amplitude.
  • Another participant clarifies that at equilibrium, the displacement (Δx) is zero, and at maximum amplitude, Δx is greatest, with the force exerted by the spring being zero at equilibrium and maximum at amplitude.
  • A participant seeks clarification on the variables of interest, specifically mentioning velocity, acceleration, and force.
  • It is stated that velocity is maximum when kinetic energy is maximized, while force and acceleration are both maximum when potential energy is maximized.
  • There is an implication that understanding the relationships between force, velocity, kinetic energy, and potential energy is essential for grasping the concepts discussed.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the relationships between the variables at amplitude and equilibrium, indicating that the discussion remains somewhat unresolved with varying interpretations of the concepts.

Contextual Notes

Some assumptions about the definitions of kinetic energy, potential energy, and their relationships to force and acceleration are not explicitly stated, which may lead to confusion.

Who May Find This Useful

Individuals interested in the dynamics of waves and springs, particularly those studying physics concepts related to energy and motion.

Scholar1
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What variables are maximum at amplitude and equilibrium? What variables are minimum at amplitude and equilibrium? I'm confused about this topic... I know KE is max at equilibrium and PE is max at amplitude.
 
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You should state your question better. I don't know what you're asking.

At equilibrium Δx = 0 and at max amplitude Δx is greatest. The force the spring exerts at equilibrium is zero, and is max at amplitude. K never changes.
 
Sorry I mean like velocity, acceleration, and force. @Karmaslap
 
Velocity is max when KE is maxed. Force and Acceleration are both max when the PE is max. You should have known when force and velocity were maxed if you know what KE and PE are.
 

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