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(Solved): **Updated with initial conditions Please show steps FOR THE SYSTEM BELOW: (3) K=2000N/mC=40k ...



FOR THE SYSTEM BELOW:
(3)
\[
\begin{array}{ll}
K=2000 \mathrm{~N} / \mathrm{m} & M=10 \mathrm{~kg} \\
C=40 \mathrm{~kg} / \ma

**Updated with initial conditions

Please show steps

FOR THE SYSTEM BELOW: (3) (a) THE STENDY. STATE RESPONSE . (b) FIND THE STEADY STATE RESPONSE .


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The given problem is a harmonically excited single degree of freedom system. To solve such a problem we need to consider the differential equation. The complementary function (CF) of the given differential eq. gives the transient response and the particular integral ( PI) of the given differential eq. gives the steady-state response.

Although for the case of (a) we have a pre-defined formula but for the case of (b) we will need to find the PI of the differential eq..


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