A portion of an automobile suspension system consists of an elastic spring and a viscous damper, as shown in Figure 4, such that k/m = 40 s-2. (a) Determine the allowable range (minimum limit) of the ratio c/m so that any oscil- lations that occur will decay by a factor of 95% within 1 cycle. (b) If the system is initially at rest imparting an initial vertical velocity of 0.5 m/s, determine the maximum vertical displacement of the system if c/m = 19 s-1. (c) With same initial conditions, find the response assuming the system is critically damped. (d) Plot the system reponses for all the 3 cases on a single graph and comment. m
A portion of an automobile suspension system consists of an elastic spring and a viscous damper, as shown in Figure 4, such that k/m = 40 s-2. (a) Determine the allowable range (minimum limit) of the ratio c/m so that any oscil- lations that occur will decay by a factor of 95% within 1 cycle. (b) If the system is initially at rest imparting an initial vertical velocity of 0.5 m/s, determine the maximum vertical displacement of the system if c/m = 19 s-1. (c) With same initial conditions, find the response assuming the system is critically damped. (d) Plot the system reponses for all the 3 cases on a single graph and comment. m
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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Transcribed Image Text:A portion of an automobile suspension system consists of an elastic spring and a viscous
damper, as shown in Figure 4, such that k/m = 40 s-2.
(a) Determine the allowable range (minimum limit) of the ratio c/m so that any oscil-
lations that occur will decay by a factor of 95% within 1 cycle.
(b) If the system is initially at rest imparting an initial vertical velocity of 0.5 m/s,
determine the maximum vertical displacement of the system if c/m = 19 s-1.
(c) With same initial conditions, find the response assuming the system is critically
damped.
(d) Plot the system reponses for all the 3 cases on a single graph and comment.
m
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