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 takento reach the maximum displacement.k/2k/2A. 1.0048 m, 0.0736 sC. 1.1048 m, 1.0736 sB. 1.0548 m, 0.5736 sD. 1.1548 m, 1.5736 s

Given: m=2000 kg velocity=10 m/s k=180 N/mm c= 20 Ns/mm To determine: Maximum displacement Time…

Answered: determine (a) the maximum displacement…

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

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

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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