How does F = -KX become A = -KX

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SUMMARY

The discussion centers on the relationship between force and acceleration in the context of Hooke's Law, represented by the equations F = -kx and A = -ω²x. Here, F denotes force, A represents acceleration, k is the spring constant, x is the displacement, and ω (omega) is the angular frequency. The transformation from F = -kx to A = -ω²x illustrates how force and acceleration are linked through the dynamics of harmonic motion.

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  • Understanding of Hooke's Law and its mathematical representation.
  • Familiarity with basic physics concepts such as force, acceleration, and displacement.
  • Knowledge of angular frequency and its role in oscillatory motion.
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  • Study the derivation of the equation A = -ω²x in the context of simple harmonic motion.
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  • Learn about the significance of the spring constant (k) in different physical contexts.
  • Investigate the implications of angular frequency (ω) on the behavior of oscillating systems.
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Homework Statement



how does F = -KX become A = -KX

where A = -W^2 X

A = acceleration
x = displacement
k = constant
f = force

Homework Equations





The Attempt at a Solution

 
Last edited:
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student321 said:

Homework Statement



how does F = -KX become A = -KX

where A = -W^2 X

Explalin the symbols.
What is A, W?
 
I'm kinda lost here...if F = -kx and A = -kx, then F = A??
Could you further clarify your question and perhaps provide some sort of a context?
 

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