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 cu or c(2), 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

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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).
x(1).
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). x(1). 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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