determine (a) the maximum displacement of the car after engaging the springs and damper and (b) the time taken to reach the maximum displacement.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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2. 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. If the stiffness of the spring is k =180 N/mm and the damping constant is c = 20 N-s/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.
k/2
k/2
A. 1.0048 m, 0.0736 s
C. 1.1048 m, 1.0736 s
B. 1.0548 m, 0.5736 s
D. 1.1548 m, 1.5736 s
Transcribed Image Text:2. 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. If the stiffness of the spring is k =180 N/mm and the damping constant is c = 20 N-s/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. k/2 k/2 A. 1.0048 m, 0.0736 s C. 1.1048 m, 1.0736 s B. 1.0548 m, 0.5736 s D. 1.1548 m, 1.5736 s
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