Simple Harmonic Motion Phase angle

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SUMMARY

The discussion focuses on determining the initial phase angle of a graph representing simple harmonic motion (SHM). Participants emphasize the importance of understanding the relationship between the phase angle and the graph's characteristics, particularly how it translates the graph along the time axis. A reference to equation 510 from a physics resource is highlighted as a useful tool for finding the phase angle. The conversation also notes that a phase angle of zero corresponds to a cosine graph, indicating maximum amplitude at the start.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with phase angles in oscillatory motion
  • Knowledge of graph interpretation in physics
  • Basic understanding of trigonometric functions, particularly cosine
NEXT STEPS
  • Study the derivation and application of equation 510 related to phase angles in SHM
  • Learn how to analyze displacement vs. time graphs for SHM
  • Explore the relationship between phase angles and maximum amplitude in oscillations
  • Review resources on the theory of Simple Harmonic Motion for deeper comprehension
USEFUL FOR

Students studying physics, particularly those focusing on oscillatory motion, as well as educators seeking to clarify concepts related to phase angles in simple harmonic motion.

Jimmy84
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Homework Statement


What is the initial phase angle of this graph that describes a simple harmonic motion?


Homework Equations





The Attempt at a Solution



I don't have any clue about how to find it by watching the graph, I know only an equation to find it. Any help please.
 

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Jimmy84 said:

Homework Statement


What is the phase angle of this graph that describes a simple harmonic motion?


Homework Equations





The Attempt at a Solution



I don't have any clue about how to find it by watching the graph, I know only an equation to find it. Any help please.

I did a quick google search for "phase angle of shm" and the first site offered gave a good lead ... equation 510.
Any of the other offereings may have been just as useful.
Many were to other questions about phase angle here on Physics Forums in fact.
 
PeterO said:
I did a quick google search for "phase angle of shm" and the first site offered gave a good lead ... equation 510.
Any of the other offereings may have been just as useful.
Many were to other questions about phase angle here on Physics Forums in fact.

Do you mean this http://farside.ph.utexas.edu/teaching/301/lectures/node138.html ? I already read them but i just started reading the theory about Simple Harmonic Motion yesterday and I am a bit lost with it so is there any way to find the angle just by inspection of the graph? I didnt understand much of the previous posts about the subject on the forum
 
Jimmy84 said:
Do you mean this http://farside.ph.utexas.edu/teaching/301/lectures/node138.html ? I already read them but i just started reading the theory about Simple Harmonic Motion yesterday and I am a bit lost with it so is there any way to find the angle just by inspection of the graph? I didnt understand much of the previous posts about the subject on the forum

That's the one.

I was particularly taken by the sentence before equation :

"Finally, the phase angle phi determines the times at which the oscillation attains its maximum amplitude, x=a: in fact"

If the phase angle was zero, then maximum amplitude would be happening then - so the graph of displacement vs time must look like a Cosine gragh.

A phase angle will translate the graph. Your graph is certainly translated. can you see by how much?
 

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