A boxcar moving at 1.7 m/s hits the shock absorber at the end of the track. The boxcar mass is 20,000 kg. The stiffness of the absorber is k = 100,000 N/m, and the damping coefficient is c = 40,000 N-s/m. The box car and shock absorber act as one system for a brief period while in contact. a. Make dynamic model (define system equation) for the boxcar and shock absorber system. Then, numerically simulate the system response starting at the point of contact and ending after 6 seconds. Plot the spring force, boxcar velocity, and boxcar displacement as functions of time. b. State the maximum spring deflection. Note that once the boxcar loses contact, the model is no longer valid. Model is not valid for the entire 6 seconds. At what point in time is contact lost? c. What is the boxcar velocity when contact is lost? H m ====== k
A boxcar moving at 1.7 m/s hits the shock absorber at the end of the track. The boxcar mass is 20,000 kg. The stiffness of the absorber is k = 100,000 N/m, and the damping coefficient is c = 40,000 N-s/m. The box car and shock absorber act as one system for a brief period while in contact. a. Make dynamic model (define system equation) for the boxcar and shock absorber system. Then, numerically simulate the system response starting at the point of contact and ending after 6 seconds. Plot the spring force, boxcar velocity, and boxcar displacement as functions of time. b. State the maximum spring deflection. Note that once the boxcar loses contact, the model is no longer valid. Model is not valid for the entire 6 seconds. At what point in time is contact lost? c. What is the boxcar velocity when contact is lost? H m ====== k
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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Question

Transcribed Image Text:A boxcar moving at 1.7 m/s hits the shock absorber at the end of the track. The boxcar mass is
20,000 kg. The stiffness of the absorber is k = 100,000 N/m, and the damping coefficient is c =
40,000 N-s/m. The box car and shock absorber act as one system for a brief period while in
contact.
a. Make dynamic model (define system equation) for the boxcar and shock absorber
system. Then, numerically simulate the system response starting at the point of
contact and ending after 6 seconds. Plot the spring force, boxcar velocity, and boxcar
displacement as functions of time.
b. State the maximum spring deflection. Note that once the boxcar loses contact, the
model is no longer valid. Model is not valid for the entire 6 seconds. At what point in
time is contact lost?
c. What is the boxcar velocity when contact is lost?
H
m
======
k
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