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 m = 1, k=64, c = 16; f(t) = 9t if 0 ≤t≤8, f(t) = 0 if t> 8 Solve the initial value problem. x(t)= Construct the graph of x(t). Choose the correct graph below. ○ A. 2- Ax 2 B. Ax ✓ Q ✓

Physics for Scientists and Engineers: Foundations and Connections
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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
m = 1, k=64, c = 16; f(t) = 9t if 0 ≤t≤8, f(t) = 0 if t> 8
Solve the initial value problem.
x(t)=
Construct the graph of x(t). Choose the correct graph below.
○ A.
2-
Ax
2
B.
Ax
✓
Q
✓
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 m = 1, k=64, c = 16; f(t) = 9t if 0 ≤t≤8, f(t) = 0 if t> 8 Solve the initial value problem. x(t)= Construct the graph of x(t). Choose the correct graph below. ○ A. 2- Ax 2 B. Ax ✓ Q ✓
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