Two rigid masses, 1 and 2 , are connected by three springs as shown in the figure. When gravity is applied with \(g=9.85 \mathrm{~m} / \mathrm{sec}^{2}\), using FE analysis, (a) find the displacements of masses 1 and 2, (2) find the element forces of all the springs, and (3) find the reaction force at the wall (body 3). Assume the bodies can move only in the vertical direction and cannot rotate. The spring constants \((\mathrm{N} / \mathrm{mm})\) are \(k^{(1)}=400, k^{(2)}=500\), and \(k^{(3)}=500\). The masses \((\mathrm{kg})\) are \(m_{1}=20\) and \(m_{2}=40\).

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