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Sagot :
The weight is 11.651 centimeters above the resting position.
Procedure - Postion formula for a weight under simple harmonic motion
Simple harmonic motion model
Mathematically speaking, a simple harmonic motion is described by the following formula:
[tex]y = A\cdot \cos \left(\frac{2\pi\cdot t}{T}) + y_{o}[/tex] (1)
Where:
- [tex]t[/tex] - TIme, in seconds.
- [tex]T[/tex] - Period, in seconds.
- [tex]A[/tex] - Amplitude, in centimeters.
- [tex]y_{o}[/tex] - Resting position, in centimeters.
Current position of the weight with respect to the resting position
Please notice that the period is the time needed by the weight to complete one cycle. If we know that [tex]A = 12\,cm[/tex], [tex]y_{o} = 0\,cm[/tex], [tex]T = 26\,s[/tex] and [tex]t = 25\,s[/tex], then the current position of the weight is:
[tex]y = 12\cdot \cos \left(\frac{2\pi\cdot 25}{26} \right)+0[/tex]
[tex]y = 11.651\,cm[/tex]
The weight is 11.651 centimeters above the resting position. [tex]\blacksquare[/tex]
To learn more on simple harmonic motion, we kindly invite to check this verified question: https://brainly.com/question/17315536
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