Consider a system of rigid bodies connected by springs as shown in figure 2.20. The bodies are assumed to move only in the horizontal direction. Further, we consider only the static problem, and hence the actual mass effects will not be considered. External forces are applied on the rigid bodies 2 and 3 as shown. The objectives are to determine the displacement of each body, forces in the springs, and support reaction. Use the following values:

\(k^{(1)}=100 \mathrm{~N} / \mathrm{mm}, k^{(2)}=200 \mathrm{~N} / \mathrm{mm}, k^{(3)}=150 \mathrm{~N} / \mathrm{mm}, F_{2}=1,000 \mathrm{~N}\), and \(F_{3}=500 \mathrm{~N}\).

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1 2 www 2 U2 3 F3 3 F3 Figure 2.20 Example of a discrete system with finite number of degrees of freedom