The phase of a simple harmonic motion

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SUMMARY

The discussion focuses on calculating the initial phase of a simple harmonic motion (SHM) given amplitude, frequency, and angular velocity. It is established that without the initial phase, these parameters alone are insufficient to determine the phase. The problem involves a body oscillating freely with an amplitude of 4 cm and a frequency of 2 Hz. The participants clarify the ambiguity in the problem statement regarding the stretching of the body and emphasize the need for a clear understanding of the elongation formula in SHM.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM) principles
  • Familiarity with the elongation formula in SHM
  • Knowledge of frequency and angular velocity in oscillatory motion
  • Basic skills in graphing functions related to SHM
NEXT STEPS
  • Study the derivation of the elongation formula in simple harmonic motion
  • Learn how to calculate angular velocity from frequency in SHM
  • Explore graphical representations of SHM functions over time
  • Investigate the role of initial phase in oscillatory motion analysis
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for clarification on SHM concepts.

Guillem_dlc
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Homework Statement


How can I calculate the initial phase in a simple harmonic motion if I only have the amplitude, frequency and angular velocity as data?

Homework Equations


The formula of the position, in fact they ask me to do the formula that allows to know the elongation depending on the type and for that I use the formula of the elongation.

The Attempt at a Solution


I am not able to take the initial phase
 
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Please state the actual problem. If that is the only data given, then you cannot find the initial phase.
 
Original statement:
At the end of a pier we place a body, we stretch it a length of 4 cm and let it oscillate freely. Write the function that allows you to know its elongation, speed and acceleration as a function of time if it vibrates with a frequency of 2 Hz. Graph these functions taking time values that allow knowing what happens in two complete oscillations.
 
I am a little confused by the first statement in the problem. What is stretched? Is it stretched by a length of 4 cm, or strtched to a length of 4 cm? Could you draw a diagram?
 
I do not understand it either very well, but I thought that the 4cm are the amplitude. The problem is not that it is very clear
 
OK. So let us assume that you stretched something by 4 cm and let it go, and it is oscillating freely with a frequency of 2 Hz. So what is the value of the stretch at t = 0?
 

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