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In the mechanical system given in the figure, a force of 5 N in the form of a unit step was applied as an input and the displacement of the mass x(t) was measured as an output. The system has reached its first stage after 2 seconds and the net maximum suspension amount at this moment has been measured as (C(tt)-(C(∞)) 3.10 -3 m. The x (t) displacement of the system after reaching the steady state was measured as 0.03 m from the starting point of motion. According to this; a) Obtain the transfer function of the system. (x(s)/F(s)=?)

In the mechanical system given in the figure, a force of 5 N in the form of a unit step was applied as an input and the displacement of the mass x(t) was measured as an output. The system has reached its first stage after 2 seconds and the net maximum suspension amount at this moment has been measured as (C(tt)-(C(∞)) 3.10 -3 m. The x (t) displacement of the system after reaching the steady state was measured as 0.03 m from the starting point of motion. According to this; a) Obtain the transfer function of the system. (x(s)/F(s)=?)

Elements Of Electromagnetics
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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In the mechanical system given in the figure, a force of 5 N in the form of a unit step was applied as an input and the displacement of the mass x(t) was measured as an output. The system has reached its first stage after 2 seconds and the net maximum suspension amount at this moment has been measured as (C(tt)-(C(∞)) 3.10 -3 m. The x (t) displacement of the system after reaching the steady state was measured as 0.03 m from the starting point of motion.
According to this;
a) Obtain the transfer function of the system. (x(s)/F(s)=?)
b) Find the natural frequency, damping ratio, M, B and K constants of the system.
Answers: ε= 0.6, Wn= 1.96 rad/s, M= 43.38 kg, B= 102.04 N/(m/s),  K=166.67 N/m

 

fct) M. Σ
Transcribed Image Text:fct) M. Σ
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