The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with external forcing function. Solve the initial value problem and construct the graph of the position function x(t). mx" + cx' + kx = f(t), x(0)=x'(0) = 0 元 m=1, k = 64, c = 0; f(t) = sin 4t if 0≤t≤ f(t) = 0 if t> 元 2 Solve the initial value problem. x(t)= Construct the graph of x(t). Choose the correct graph below. O A. B. Ax Q Ax 0.06- 0.06- -0.06- G ○ C. D. Ax Ax Q 0.06- 0.06 -0.06- -0.06- -0.06-
The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with external forcing function. Solve the initial value problem and construct the graph of the position function x(t). mx" + cx' + kx = f(t), x(0)=x'(0) = 0 元 m=1, k = 64, c = 0; f(t) = sin 4t if 0≤t≤ f(t) = 0 if t> 元 2 Solve the initial value problem. x(t)= Construct the graph of x(t). Choose the correct graph below. O A. B. Ax Q Ax 0.06- 0.06- -0.06- G ○ C. D. Ax Ax Q 0.06- 0.06 -0.06- -0.06- -0.06-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a mass-spring-dashpot system with
external forcing function. Solve the initial value problem and construct the graph of the position function x(t).
mx" + cx' + kx = f(t), x(0)=x'(0) = 0
元
m = 1, k = 64, c = 0; f(t) = sin 4t if 0 ≤t≤, f(t) = 0 if t>
元
2
Solve the initial value problem.
x(t) =
Construct the graph of x(t). Choose the correct graph below.
O A.
B.
Ax
Q
Ax
0.06-
0.06-
-0.06-
C
O C.
D.
Ax
Ax
Q
0.06
0.06
-0.06-
-0.06-
-0.06-
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