Equilibrium of a spring and speed.

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Discussion Overview

The discussion revolves around the dynamics of a mass attached to an oscillating spring on a frictionless horizontal surface, specifically focusing on the speed of the mass at the equilibrium position compared to its speed at the amplitude points. Participants explore the relationship between restoring force, net force, and velocity during oscillation.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that the speed of the mass is greatest at the equilibrium position due to the acceleration provided by the restoring force.
  • Others argue that the speed should be greatest just before reaching the amplitude due to maximum kinetic energy, suggesting a misunderstanding of the dynamics involved.
  • One participant questions whether the net force acts opposite to the motion as the mass passes through the equilibrium, indicating a potential confusion about force direction and velocity changes.
  • Another participant confirms that the restoring force always acts toward the equilibrium point, affecting the speed of the mass depending on its position relative to equilibrium.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between speed and position in the oscillation, with no consensus reached on the dynamics of speed at equilibrium versus amplitude points.

Contextual Notes

There are unresolved assumptions regarding the definitions of kinetic energy and the role of restoring force in the context of oscillatory motion.

Alameen Damer
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Let's say I have a mass attached to an oscillating spring on a friction less horizontal surface. Why is it that the speed of the mass is greatest at equilibrium? I would have thought it would be greatest just before reaching the amplitudes due to maximum kinetic energy?
 
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Alameen Damer said:
Let's say I have a mass attached to an oscillating spring on a friction less horizontal surface. Why is it that the speed of the mass is greatest at equilibrium?

Because the restoring force accelerates the mass till it reaches the equilibrium position .

Alameen Damer said:
I would have thought it would be greatest just before reaching the amplitudes due to maximum kinetic energy?

On the contrary , the speed decreases and becomes zero when the mass reaches the extreme point.
 
I see so as it passes the equilibrium, does the net force begin acting opposite to the motion decreasing velocity?
 
Alameen Damer said:
I see so as it passes the equilibrium, does the net force begin acting opposite to the motion decreasing velocity?

Right .
 
Thank you
 
Alameen Damer said:
I see so as it passes the equilibrium, does the net force begin acting opposite to the motion decreasing velocity?
The restoring force always acts toward the equilibrium point. So, when the mass moves toward the equilibrium point, the force speeds it up; when it moves away, the force slows it down.
 
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