The phase of a simple harmonic motion

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Homework Help Overview

The discussion revolves around calculating the initial phase of a simple harmonic motion (SHM) given certain parameters such as amplitude, frequency, and angular velocity. Participants are trying to clarify the problem context and the specifics of the setup involving oscillation.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the sufficiency of the provided data to determine the initial phase. There is also confusion regarding the interpretation of the problem statement, particularly about the meaning of the 4 cm stretch.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some have suggested that the 4 cm might represent the amplitude, while others are seeking clarification on the initial conditions of the oscillation.

Contextual Notes

There is ambiguity in the problem statement regarding the stretching of the body and the exact nature of the initial conditions. Participants are grappling with these uncertainties as they attempt to formulate a response.

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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