1. For a damped excited vibration with the EOM of: m \ddot{x}(t)+c x(t)+k x(t)=F_{0} \sin \omega t Derive the constants A and B in the particular response of: x_{p}(t)=A \cos \omega t+B \sin \omega t b) By using the obtained A and B, derive the contants of X and theta in the particular \text { response of: } x_{p}(t)=X \sin (\omega t-\theta)

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