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Question 5. For the mass-spring-dashpot system in Fig.4, where M = 2 kg, K = 8 N/m and f= 3 N-s/m, (a) obtain the transfer function of X(s) / F(s). (b) Specify the form of the time response after finding the damping ratio and natural frequency. (c) What would be the maximum and steady state values of the displacement, Xmax and Cs Oor c(0), respectively, when a constant 10 Nm torque is applied? (d) Write the general expression of the time response x(t). x(1) K Solution 5. M (a) The equation of motion of the system and the transfer function between the displacement and the force applied is found as follows, Fig.4

Question 5. For the mass-spring-dashpot system in Fig.4, where M = 2 kg, K = 8 N/m and f= 3 N-s/m, (a) obtain the transfer function of X(s) / F(s). (b) Specify the form of the time response after finding the damping ratio and natural frequency. (c) What would be the maximum and steady state values of the displacement, Xmax and Cs Oor c(0), respectively, when a constant 10 Nm torque is applied? (d) Write the general expression of the time response x(t). x(1) K Solution 5. M (a) The equation of motion of the system and the transfer function between the displacement and the force applied is found as follows, Fig.4

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question 5. For the mass-spring-dashpot system in Fig.4, where M = 2 kg, K = 8 N/m and f,= 3 N-s/m, (a) obtain the transfer function of X(s) / F(s). (b) Specify the form of the time response after finding the damping ratio and natural frequency. (c) What would be the maximum and steady state values of the displacement, Xmax and cs or c(0), respectively, when a constant 10 Nm torque is applied? (d) Write the general expression of the time response x(t). K Solution 5. (a) The equation of motion of the system and the transfer function between the displacement and the force applied is found as follows, Fig.4
Transcribed Image Text:Question 5. For the mass-spring-dashpot system in Fig.4, where M = 2 kg, K = 8 N/m and f,= 3 N-s/m, (a) obtain the transfer function of X(s) / F(s). (b) Specify the form of the time response after finding the damping ratio and natural frequency. (c) What would be the maximum and steady state values of the displacement, Xmax and cs or c(0), respectively, when a constant 10 Nm torque is applied? (d) Write the general expression of the time response x(t). K Solution 5. (a) The equation of motion of the system and the transfer function between the displacement and the force applied is found as follows, Fig.4
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