It is known that a general solution for the position of a harmonic oscillator is x(t) = C cos (wt) + S sin (wt), where C, S, and w are constants. (Figure 2) Your task, therefore, is to determine the values of C, S, and win terms of k, m,and init and then use the connection between x (t) and a (t) to find the acceleration. Figure L win Xinit < 1 of 2 Part A Combine Newton's 2nd law and Hooke's law for a spring to find the acceleration of the block a (t) as a function of time. Express your answer in terms of k, m, and the coordinate of the block x (t). View Available Hint(s) a (t) = Submit [5] ΑΣΦ Part B Complete previous part(s) Review | Constants ?

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Chapter1: Units, Trigonometry. And Vectors
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It is known that a general solution for the position of a
harmonic oscillator is
x(t) = C cos (wt) + S sin (wt),
where C, S, and ware constants. (Figure 2)
Your task, therefore, is to determine the values of C, S,
and w in terms of k, m,and init and then use the
connection between x (t) and a (t) to find the
acceleration.
Figure
L
min
x=0
Xinit
1 of 2
>
Part A
Combine Newton's 2nd law and Hooke's law for a spring to find the acceleration of the block a (t) as a function of time.
Express your answer in terms of k, m, and the coordinate of the block x (t).
► View Available Hint(s)
a (t) =
Submit
17 ΑΣΦ
Part B Complete previous part(s)
Review | Constants
?
Transcribed Image Text:It is known that a general solution for the position of a harmonic oscillator is x(t) = C cos (wt) + S sin (wt), where C, S, and ware constants. (Figure 2) Your task, therefore, is to determine the values of C, S, and w in terms of k, m,and init and then use the connection between x (t) and a (t) to find the acceleration. Figure L min x=0 Xinit 1 of 2 > Part A Combine Newton's 2nd law and Hooke's law for a spring to find the acceleration of the block a (t) as a function of time. Express your answer in terms of k, m, and the coordinate of the block x (t). ► View Available Hint(s) a (t) = Submit 17 ΑΣΦ Part B Complete previous part(s) Review | Constants ?
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