1. Consider the mass-spring-damper system shown below. m = X f X(s) (a) Calculate the transfer function G(s) F(s) (b) Assume m = 1 kg and k = 4 N/m. What value berit will result in a critically damped system? (c) For m = 1 kg, k = 4 N/m, and b = berit, derive the step response of the system. (d) Construct a Simulink model for this system and simulate its step response. Verify that the step response at t=0.5 sec matches your analytical expression in part (c). (e) Determine the value of b that yields a damping factor = 0.15. Repeat parts (c) and (d).
1. Consider the mass-spring-damper system shown below. m = X f X(s) (a) Calculate the transfer function G(s) F(s) (b) Assume m = 1 kg and k = 4 N/m. What value berit will result in a critically damped system? (c) For m = 1 kg, k = 4 N/m, and b = berit, derive the step response of the system. (d) Construct a Simulink model for this system and simulate its step response. Verify that the step response at t=0.5 sec matches your analytical expression in part (c). (e) Determine the value of b that yields a damping factor = 0.15. Repeat parts (c) and (d).
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:1. Consider the mass-spring-damper system shown below.
m
=
X
f
X(s)
(a) Calculate the transfer function G(s)
F(s)
(b) Assume m = 1 kg and k = 4 N/m. What value berit will result in a critically damped system?
(c) For m = 1 kg, k = 4 N/m, and b = berit, derive the step response of the system.
(d) Construct a Simulink model for this system and simulate its step response. Verify that the step
response at t=0.5 sec matches your analytical expression in part (c).
(e) Determine the value of b that yields a damping factor = 0.15. Repeat parts (c) and (d).
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