In 57 and 58 solve the model for a driven spring/mass
Chapter 7, Problem 57E(choose chapter or problem)
In Problems 57 and 58 solve the model for a driven spring/ mass system with damping
\(m \frac{d^{2} x}{d t^{2}}+\beta \frac{d x}{d t}+k x=f(t)\), x(0) = 0, \(x^{\prime}(0)=0\)
where the driving function f is as specified. Use a graphing utility to graph x(t) for the indicated values of t.
\(m=\frac{1}{2}\), \(\beta=1\), k = 5, f is the meander function in Problem 49 with amplitude 10, and \(a=\pi\), \(0 \leq t<2 \pi\).
Text Transcription:
m d^2x/dt^2}+beta dx/dt+k x=f(t)
x^prime 0=0
m=1/2
beta=1
a=pi
0 leq t<2 pi
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