A railroad car of mass \(2000 \mathrm{~kg}\) traveling at a velocity \(v=10 \mathrm{~m} / \mathrm{s}\) is stopped at the end of the tracks by a spring-damper system, as shown in Fig. 2.115. If the stiffness of the spring is \(k=80 \mathrm{~N} / \mathrm{mm}\) and the damping constant is \(c=20 \mathrm{~N}-\mathrm{s} / \mathrm{mm}\), determine

(a) the maximum displacement of the car after engaging the springs and damper and

(b) the time taken to reach the maximum displacement.

Transcribed Image Text:

k/2 P 0000 The 0000 k/2 FIGURE 2.115 Railroad car stopped by spring-damper system.