2 Masses connected by a spring

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Discussion Overview

The discussion revolves around determining the acceleration of a system consisting of two masses connected by a spring, with an external force applied to one of the masses. The scope includes conceptual understanding and application of Newton's laws, particularly in the context of systems with coupled masses and spring forces.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant seeks to find the acceleration of a system with two masses connected by a spring, questioning how to account for the spring's force when calculating acceleration.
  • Another participant suggests using Newton's method and drawing free body diagrams for each mass to analyze the forces acting on them.
  • A participant expresses uncertainty about the relevance of downward forces, asserting that acceleration is only in the sideways direction.
  • Concerns are raised about the correctness of an acceleration calculation (5 m/s²) due to the lack of provided values for the masses and the applied force, as well as the need to consider the spring's force.
  • There is a suggestion that the approach to finding the acceleration of the system should involve including the force from the spring in the free body diagram, and a comparison is made to a scenario with a string instead of a spring.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of certain forces and the method for calculating acceleration, indicating that multiple competing views remain and the discussion is unresolved.

Contextual Notes

Participants note the absence of specific values for the masses and the applied force, which limits the ability to reach a definitive conclusion. There is also a lack of clarity on how to treat the accelerations of the coupled masses in the presence of a spring.

glover261
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Hello I am trying to find the acceleration of a system that has 2 masses, m1 and m2 connected via a spring with a spring constant of k with a force of F applied to the larger mass in the direction that stretches the spring.
 
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Very good. How are you going about it?
ie. did you try Newton's method of drawing free body diagrams for each mass?
 
Simon Bridge said:
Very good. How are you going about it?
ie. did you try Newton's method of drawing free body diagrams for each mass?

Yeah I found the forces acting downwards but I think they are irrelevant because all the acceleration for the system would be in the sideways direction. I found that the acceleration of the 3kg (larger) mass is 15/3= 5ms/^2, but I'm not sure if this is correct because wouldn't the spring be pulling back on it and therefore lowering its acceleration? I am not really sure how to find the acceleration of the whole system, do I try find the acceleration of each mass and add them? How do I do that when a spring is involved?
 
glover261 said:
Yeah I found the forces acting downwards but I think they are irrelevant because all the acceleration for the system would be in the sideways direction.
I think you may have left out some important information in your problem statement:
I was imagining both masses on a level frictionless surface with one to the left of the other ... in that situation the sum of the vertical (acting downwards) forces is zero.

I found that the acceleration of the 3kg (larger) mass is 15/3= 5ms/^2,...
This cannot follow from post #1 because you have not given any values for m1, m2 or F. It is unlikely to be correct because you have not accounted for the force from the spring.

...but I'm not sure if this is correct because wouldn't the spring be pulling back on it and therefore lowering its acceleration?
Yes.

I am not really sure how to find the acceleration of the whole system, do I try find the acceleration of each mass and add them?
This is not how you would normally treat the accelerations of coupled masses is it?

How do I do that when a spring is involved?
You include the force due to the spring in the free body diagram.
Think how you would do this problem if the spring were replaced by a string?
 

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