A translational mechanical system is shown in Figure Q1(a). Assume M1 = M2 = %3D M3 = 1 kg, K, = K2 = 1 N/m, and fp1 = fv2 = fv3 = fv4 = 1 Ns/m. (i) Draw the free-body diagram for all three masses. (ii) Find the state-space representation of the system. Given the input u(t) = f(t) and the output y(t) = x3(t). %3D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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(а)
A translational mechanical system is shown in Figure Q1(a). Assume M1 = M2 =
M3 = 1 kg, K, = K2 = 1 N/m, and fo1 = fvz = fv3 = fv4 = 1 Ns/m.
(i)
Draw the free-body diagram for all three masses.
(ii) Find the state-space representation of the system. Given the input u(t) = f(t)
and the output y(t) = x3(t).
Transcribed Image Text:(а) A translational mechanical system is shown in Figure Q1(a). Assume M1 = M2 = M3 = 1 kg, K, = K2 = 1 N/m, and fo1 = fvz = fv3 = fv4 = 1 Ns/m. (i) Draw the free-body diagram for all three masses. (ii) Find the state-space representation of the system. Given the input u(t) = f(t) and the output y(t) = x3(t).
fvz
M2
Frictionless
fv3
► f(t)
K1
M.
M3
K2
Frictionless Jví
►x3(1)
Figure Q1(a): Translational mechanical system.
Transcribed Image Text:fvz M2 Frictionless fv3 ► f(t) K1 M. M3 K2 Frictionless Jví ►x3(1) Figure Q1(a): Translational mechanical system.
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