For each case in Table 3.2, for the governing equation (ddot{x}+2 zeta omega_{n} dot{x}+omega_{n}^{2} x=A cos omega

Question:

For each case in Table 3.2, for the governing equation $\ddot{x}+2 \zeta \omega_{n} \dot{x}+\omega_{n}^{2} x=A \cos \omega t$, evaluate $C$ and $\phi$, and $B_{1}$ and $B_{2}$ in Equation 3.37. Then plot the free and forced responses separately and then in sum. Let $A=1 \mathrm{~cm} / \mathrm{s}^{2}$ and $\omega=1 \mathrm{rad} / \mathrm{s}$.

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