Problem 1. The translational system given has the following mass, friction and spring related values. M=2kg, f=4N-s/m and K=8N/m, (a) Write the equation of motion (as a differential equation). (b) Represent the system in the state-space. (c) Write the transfer function of G(s) = X(s)/F(s)

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Problem 1. The translational system given has the following mass, friction
and spring related values. M=2kg. f=4N-s/m and K=8N/m,
x(1)
(a) Write the equation of motion (as a differential equation).
(b) Represent the system in the state-space.
(c) Write the transfer function of G(s) = X(s)/F(s)
(d) What would be the output x(t) in meters in steady-state when the
applied input is f(t) = 2 N
(e) What would be the maximum value of the output?
() Plot the input and output on the same plane in Matlab.
M
Transcribed Image Text:Problem 1. The translational system given has the following mass, friction and spring related values. M=2kg. f=4N-s/m and K=8N/m, x(1) (a) Write the equation of motion (as a differential equation). (b) Represent the system in the state-space. (c) Write the transfer function of G(s) = X(s)/F(s) (d) What would be the output x(t) in meters in steady-state when the applied input is f(t) = 2 N (e) What would be the maximum value of the output? () Plot the input and output on the same plane in Matlab. M
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