20 through 23 deal with the same system of three railway
Chapter , Problem 20(choose chapter or problem)
20 through 23 deal with the same system of three railway cars (same masses) and two buffer springs (same spring constants) as shown in Fig. 5.4.6 and discussed in Example 2. The cars engage at time t D 0 with x1.0/ D x2.0/ D x3.0/ D 0 and with the given initial velocities (where v0 D 48 ft/s). Show that the railway cars remain engaged until t D =2 (s), after which time they proceed in their respective ways with constant velocities. Determine the values of these constant final velocities x0 1.t /, x0 2.t /, and x0 3.t / of the three cars for t > =2. In each problem you should find (as in Example 2) that the first and third railway cars exchange behaviors in some appropriate sense.
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