How can I find the value of phi in a simple harmonic motion equation?

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Homework Help Overview

The discussion revolves around finding the value of phi in the context of simple harmonic motion equations, particularly focusing on the relationship between displacement and velocity in such systems.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to derive the velocity equation from the displacement formula and seeks clarification on how to determine the phase constant phi. Some participants suggest examining the function at specific time points and considering the graphical representation of the motion.

Discussion Status

The discussion is ongoing, with participants providing hints and guidance on how to approach the problem. There is an exploration of different interpretations of the phase constant and its implications in the context of the motion described.

Contextual Notes

Participants are working with a specific problem from a homework assignment, which may impose constraints on the information available for discussion. There is also a mention of potential typos in the equations presented.

ice87
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http://noether.physics.ubc.ca/physics153/assign72k5.pdf

I don't get number 1 c, which equation do i use? and in general, how would I be able to find phi?

OK, i figured i should find the first derivative of the displacement formula, which becomes v = -Asin(wt + phi) but that still undoable, how do i find phi?
 
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Check your derivative. remember that max(sin(x)) is 1
 
ah yes, i see, it should be v = -A ωsin(ωt + φ), but that's just a typo, i actually had this equation when i wrote it down on paper. But i still don't know how to find phi
 
look at t=0 ... what's the function? what's the graph?
phi is just the "little wt offset" if you don't start the timer in synch.
 
Last edited:

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