Find the transient motion and the steady state solution of a damped mass-spring oscillator system with $m ? 1, c = 2$ , and $k = 26$ under the influence of an external force $F (t) = 82 cos (4 t)$ with $x (0) = 6$ and $x^{?} (0) = 0$ . Write your steady state solution as a single phase-shifted cosine. The transient solution is The steady state solution is

Question

Find the transient motion and the steady state solution of a damped mass-spring oscillator system with

m ? 1, c = 2

, and

k = 26

under the influence of an external force

F (t) = 82 cos (4 t)

with

x (0) = 6

and

x^{?} (0) = 0

. Write your steady state solution as a single phase-shifted cosine. The transient solution is The steady state solution is

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