Understanding spring mass system

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Discussion Overview

The discussion revolves around the dynamics of a spring-mass system, particularly focusing on the equations of motion derived from static and kinetic free body diagrams. Participants explore the implications of forces acting on the mass and the conditions under which the derived equations hold true.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a dynamic equation for the spring-mass system as f - kx - ma = 0, questioning its correctness.
  • Another participant asks whether the force is continuous or if it only stretches the spring before allowing oscillation.
  • A later reply affirms the correctness of the initial equation under the condition that the force is not released.
  • Another participant clarifies that the equation f - kx = net force is a statement of Newton's second law, noting that rewriting it as "Net Force - ma = 0" does not add new information.
  • One participant suggests that if the mass is in equilibrium, then f - kx = 0, but if not, the mass will accelerate.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the equations and the conditions under which they apply. There is no consensus on the correctness of the initial equation or the nature of the forces acting on the mass.

Contextual Notes

Some assumptions regarding the nature of the force and the state of the mass (equilibrium vs. acceleration) remain unresolved, leading to varying interpretations of the equations presented.

chandran
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I am just learining basic dynamics from spring mass system.
there is a horizontal spring fixed to the wall and a mass is at the end.
When the mass is displaced by a force F to the right the spring stretches to a distance X. Now i draw the STATIC FBD. The
eqn is f-kx=net force on the mass. Now i draw the kinetic diagram and the equation i derive is

f-kx=ma where a is the acceleration of the mass m. So for this spring mass system the dynamic equation is
f-kx-ma=0.

Is what i have done is true and correct?
 
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Is the force acting continuously on the object...?Or it just stretches the string & let's it go to oscillate...?

That equation,vector or scalar,f-kx-ma=0 makes no sense...

Daniel.

Daniel.
 
chandran said:
I am just learining basic dynamics from spring mass system.
there is a horizontal spring fixed to the wall and a mass is at the end.
When the mass is displaced by a force F to the right the spring stretches to a distance X. Now i draw the STATIC FBD. The
eqn is f-kx=net force on the mass. Now i draw the kinetic diagram and the equation i derive is

f-kx=ma where a is the acceleration of the mass m. So for this spring mass system the dynamic equation is
f-kx-ma=0.

Is what i have done is true and correct?

Yes, it is correct as long the hand pulling the mass is not releasing it.

[tex]F - kx = 0[/tex]
 
chandran said:
I am just learining basic dynamics from spring mass system.
there is a horizontal spring fixed to the wall and a mass is at the end.
When the mass is displaced by a force F to the right the spring stretches to a distance X. Now i draw the STATIC FBD. The
eqn is f-kx=net force on the mass.
This is just a statement that the net force on the mass equals f - kx.
Now i draw the kinetic diagram and the equation i derive is

f-kx=ma where a is the acceleration of the mass m. So for this spring mass system the dynamic equation is
f-kx-ma=0.
Now you've applied Newton's 2nd law: Net Force = ma. Note that rewriting it as "Net Force - ma = 0" adds nothing.

If the mass is in equilibrium, then f - kx = 0; if not, then it will accelerate.
 
chandran said:
I am just learining basic dynamics from spring mass system.
there is a horizontal spring fixed to the wall and a mass is at the end.
When the mass is displaced by a force F to the right the spring stretches to a distance X. Now i draw the STATIC FBD. The
eqn is f-kx=net force on the mass. Now i draw the kinetic diagram and the equation i derive is

f-kx=ma where a is the acceleration of the mass m. So for this spring mass system the dynamic equation is
f-kx-ma=0.

Is what i have done is true and correct?

Here, you can learn more on basic dynamics. make sure that you are able to solve the given exercises...

https://www.physicsforums.com/showthread.php?t=72040


marlon
 

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