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Determine expressions for the displacement response of an undamped SDOF system subject tothe load function obtained below. Write the solution over the following time intervals: F(t)=\left\{\begin{array}{l} \frac{F_{0}}{2}(1-\cos \omega t) \\

F_{0} \end{array}\right. \begin{aligned} 0 \leq t & \leq \frac{\pi}{\omega} \\ t \geq & \frac{\pi}{\omega} \end{aligned}

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