For a spring-mass-damper system with the following characteristics m= 70 k= 707 C= 69 Xo = 0 m/s Vo = 0 m/s If an forcing function F(t) = 100tet N is applied to the box at t = Os, find x(t) for the system analytically. HINT: I STRONGLY suggest that you use the Laplace transform method. Please box your final x(t), and plot your solution.

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Problem 1: Laplace Transforms
For a spring-mass-damper system with the following characteristics
m = 70
k= 707
C =
69
Xo = 0 m/s
Vo = 0 m/s
If an forcing function F(t) = 100tet N is applied to the box at t = 0s, find x(t) for the system analytically.
HINT: I STRONGLY suggest that you use the Laplace transform method. Please box your final x(t), and
plot your solution.
Transcribed Image Text:Problem 1: Laplace Transforms For a spring-mass-damper system with the following characteristics m = 70 k= 707 C = 69 Xo = 0 m/s Vo = 0 m/s If an forcing function F(t) = 100tet N is applied to the box at t = 0s, find x(t) for the system analytically. HINT: I STRONGLY suggest that you use the Laplace transform method. Please box your final x(t), and plot your solution.
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