Consider a system of two dampers, with damping constants \(c_{1}\) and \(c_{2}\), arranged in parallel as shown in Fig. 1.104. The rigid bar to which the two dampers are connected remains horizontal when the force \(F\) is zero. Determine the equivalent damping constant of the system \(\left(c_{e}\right)\) that relates the force applied \((F)\) to the resulting velocity \((v)\) as \(F=c_{e} v\).

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C 4 F FIGURE 1.104 Parallel dampers sub- jected to load.