Suppose an undamped forced spring mass system is driven by the equation d²x +49x = f(t), di where the Fourier series of a function is given by f(t) = cos(61), for- ≤ 1 ≤n. Let 5): x(t) = Σ An, cos(nt) n=1 be a particular solution. (a) Find A₁. (b) Find 46 Enter your answer symbolically, as in these examples Enter your answer symbolically, as in these examples

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Suppose an undamped forced spring mass system is driven by the equation
+49x = f(t),
di
where the Fourier series of a function is given by f(t)= cos(61), for- ≤ 1 ≤ 7. Let
():
x(t) = Σ 4, cos(nt)
n=1
be a particular solution.
(a) Find A₁.
(b) Find A6
Enter your answer symbolically,
as in these examples
Enter your answer symbolically,
as in these examples
Transcribed Image Text:Suppose an undamped forced spring mass system is driven by the equation +49x = f(t), di where the Fourier series of a function is given by f(t)= cos(61), for- ≤ 1 ≤ 7. Let (): x(t) = Σ 4, cos(nt) n=1 be a particular solution. (a) Find A₁. (b) Find A6 Enter your answer symbolically, as in these examples Enter your answer symbolically, as in these examples
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