Harmonic movement of a spring question

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Homework Help Overview

The discussion revolves around the harmonic motion of a mass attached to a spring, focusing on the calculation of the force exerted by the spring at any moment. The original poster is particularly interested in understanding the phase angle "u" in the context of the spring's motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between initial conditions and the phase angle, with some questioning how to determine the phase angle in this specific scenario. There are attempts to relate the phase angle to the position of the mass and its motion.

Discussion Status

Some participants have provided insights into retrieving the phase angle from initial conditions, while others are seeking clarification on the concept and its application. The discussion includes various interpretations of the phase angle and its significance in the context of harmonic motion.

Contextual Notes

There appears to be some confusion regarding the visualization of the phase angle and its calculation, with requests for further clarification or illustrations. The original poster's assumptions about the initial conditions and their impact on the phase angle are also under discussion.

transgalactic
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i got a mass "m" which is stuck to a spring which is hanged from the sealing .
k-the spring coefficient
the formula for acceleration is

a=-A*w^2*sin(wt+u)
i need to calculate the force which the spring exerts of the mass in any given moment
t=0 is when he was moved downward by distance A (amplitude) to some amplitude and released.

my main question is why the phase angle "u" is pi/4 ??
 
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Your initial conditions gives these equations, from which you should be able to retrieve u:
r(t)=Asin(wt+u)
r(0)=A
 
my main question is why the phase angle need to be pi/4 ??
how do i count the phrase angle in this string situation
just by viewing the location of the object.
 
m is mass
+ is the point of balance
what is the phase angle if we start counting from this position?
+
|
|
m
 
Imagine the unit circle projected onto the y-axis, then pi/4 corresponds to 1, 0 and pi to 0 and -pi/4 to -1 as initial positions.
 
i can't image what you say
can you draw it??
 

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