Solved: In 57 and 58 solve the model for a driven

Chapter 7, Problem 58E

(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 = 1, \(\beta=2\), k = 1, f is the square wave in Problem 50 with amplitude 5, and \(a=\pi\),

(0 \leq t<4 \pi\).

Text Transcription:

m d^2x/dt^2}+beta dx/dt+k x=f(t)

x^prime 0=0

beta=2

a=pi

0 leq t<4 pi