Problem 7 A railroad car of mass 2,000 kg traveling at a velocity v-10 m/s is stopped at the end of the tracks by a spring-damper system, as shown below. If the stiffness of the spring is k-80 N/mm and the damping constant is c-20 Ns/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. P O k/2 0000 D 0000 k(2

Structural Analysis
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Chapter2: Loads On Structures
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Problem 7
A railroad car of mass 2,000 kg traveling at a velocity v-10 m/s is stopped at
the end of the tracks by a spring-damper system, as shown below. If the stiffness of the spring is
k-80 N/mm and the damping constant is c-20 Ns/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.
C
P
O
k/2
0000
3
0000
k
Transcribed Image Text:Problem 7 A railroad car of mass 2,000 kg traveling at a velocity v-10 m/s is stopped at the end of the tracks by a spring-damper system, as shown below. If the stiffness of the spring is k-80 N/mm and the damping constant is c-20 Ns/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. C P O k/2 0000 3 0000 k
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