A position versus time graph involving the unit circle

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SUMMARY

The discussion centers on the misunderstanding of the relationship between amplitude and wavelength in the context of simple harmonic motion (SHM) and position versus time graphs. The correct equation for SHM is highlighted as x(t) = A sin(wt + φ), where A represents amplitude, w is angular frequency, and φ is the phase constant. Participants emphasize that amplitude is defined as the maximum displacement from the equilibrium position, not the wavelength. The conversation concludes with a recommendation to consult textbooks or online resources for accurate equations related to SHM.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Familiarity with the unit circle and its applications in trigonometry
  • Knowledge of wave properties, specifically amplitude and wavelength
  • Ability to interpret position versus time graphs
NEXT STEPS
  • Study the equation x(t) = A sin(wt + φ) for simple harmonic motion
  • Learn about the differences between amplitude and wavelength in wave mechanics
  • Explore the concept of angular frequency (w) and its significance in SHM
  • Review resources on interpreting position versus time graphs in physics
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and simple harmonic motion, as well as educators seeking to clarify common misconceptions about amplitude and wavelength.

littlejon
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Homework Statement

Homework Equations


v(x)t= -wAsin(w+o)

The Attempt at a Solution


-5(10)sin(0)= 0
D
is this the right procedure?
 
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littlejon said:
v(x)t= -wAsin(w+o)
I'm not aware of any such equation. The equation you want is of the form x(t) = .
littlejon said:
is this the right procedure?
No.
The first step is to figure out the amplitude. Can you think how to read that off the graph?
 
amplitude is 5
 
littlejon said:
amplitude is 5
No. How did you arrive at that? How is the amplitude of an oscillation defined?
Have you found a correct equation?
 
I just saw the wavelength and assumed it was 5.
 
littlejon said:
v(x)t= -wAsin(w+o)
This equation is wrong.
 
littlejon said:
I just saw the wavelength and assumed it was 5.
Amplitude is not wavelength. What do you think is meant by the amplitude of a wave?
You still haven't provided any correct equations related to SHM. Don't you have any notes or textbooks? If not, read it up online.
 

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