A translational electromechanical system is described in state space form as: = -²²-2(x − 0.4) +0.5 4 V = li + 1 dide I The initial conditions are x(t = 0) = 0.4 m, do = 0 m/s, and i(t = 0) = 0 A and a voltage V = 14 V is applied. With a time step of 0.001 s, find using Euler's method , , and i at t=0.001 s. x(t = 0.001) = number (rtol=0.001, atol=1e-08) * (t = 0.001)= number (rtol=0.001, atol=1e-08) i(t = 0.001)= number (rtol=0.001, atol=1e-08) Find using Euler's method , , and i at t=0.002 s. x(t = 0.002) = number (rtol=0.001, atol=1e-08) * (t = 0.002)= number (rtol=0.001, atol=1e-08) i(t = 0.002)= number (rtol=0.001, atol=1e-08) ? ? ? ? ?
A translational electromechanical system is described in state space form as: = -²²-2(x − 0.4) +0.5 4 V = li + 1 dide I The initial conditions are x(t = 0) = 0.4 m, do = 0 m/s, and i(t = 0) = 0 A and a voltage V = 14 V is applied. With a time step of 0.001 s, find using Euler's method , , and i at t=0.001 s. x(t = 0.001) = number (rtol=0.001, atol=1e-08) * (t = 0.001)= number (rtol=0.001, atol=1e-08) i(t = 0.001)= number (rtol=0.001, atol=1e-08) Find using Euler's method , , and i at t=0.002 s. x(t = 0.002) = number (rtol=0.001, atol=1e-08) * (t = 0.002)= number (rtol=0.001, atol=1e-08) i(t = 0.002)= number (rtol=0.001, atol=1e-08) ? ? ? ? ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A translational electromechanical system is described in state space form as:
= -²²-2(x − 0.4) +0.5
4
V = li + 1 dide
I
The initial conditions are x(t = 0) = 0.4 m, do = 0 m/s, and i(t = 0) = 0 A and a voltage V = 14 V is
applied. With a time step of 0.001 s, find using Euler's method , , and i at t=0.001 s.
x(t = 0.001) =
number (rtol=0.001, atol=1e-08)
* (t = 0.001)=
number (rtol=0.001, atol=1e-08)
i(t = 0.001)=
number (rtol=0.001, atol=1e-08)
Find using Euler's method , , and i at t=0.002 s.
x(t = 0.002) =
number (rtol=0.001, atol=1e-08)
* (t = 0.002)=
number (rtol=0.001, atol=1e-08)
i(t = 0.002)=
number (rtol=0.001, atol=1e-08)
?
?
?
?
?
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