No chstgpt 2. (a) A simple harmonic oscillator's motion is given bythe graph at right. Describing its motion as afunction of time as x(t) = A cos(wt + 0), findits amplitude, angular frequency, and phaseconstant o.** For finding 00, don't just compare to ax (cm)10-5-A-5--1013+(s)calculator. Draw a unit circle or phasor diagram and figure out where the functionmust be at t = 0 to create this graph. Show/explain your work.(b) What is the initial speed of the object, at t = 0? What is the maximum speed of theobject?(c) If this graph represents the position of a 500 g mass on a spring, what is the springconstant? What is the total energy of the system?

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Answered: 2. (a) A simple harmonic oscillator's…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 16PQ

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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 ?

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