Q5) The translational problem shown below has a linear and a nonlinear spring and is subjected to the applied force fa(t). a) Show that the nonlinear model is 2* + 6x + 3x + x² = fa(t). b) Solve for the operating point x0 when fa(t),= 10 N (assuming that x > 0). AX(s) c) Derive the linearized model and associated transfer function G(s) = A Fa(s) M=2kg fa(t) f:(x)= x² N B=6 N s/m Kj= 3 N/m Q6) The nonlinear resistor in the circuit shown obeys the equation Vr = 2 i3 0.5 H Vin(t) VR = 21 0.5i+3i+2i = v,(1). a) Show that the nonlinear model is b) Solve for the operating point io when vino = 22 volts. ΔΙ(s) c) Derive the linearized model and associated transfer function G(s) AV in(s)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Q5) The translational problem shown below has a linear and a nonlinear spring and
is subjected to the applied force fa(t).
a) Show that the nonlinear model is 2* + 6x + 3x + x² = fa(t).
b) Solve for the operating point x0 when fa(t),= 10 N (assuming that x > 0).
AX(s)
c) Derive the linearized model and associated transfer function G(s) =
A Fa(s)
M=2kg
fa(t)
f:(x)= x² N
B=6 N s/m
Kj= 3 N/m
Q6) The nonlinear resistor in the circuit shown obeys the equation Vr = 2 i3
0.5 H
Vin(t)
VR = 21
0.5i+3i+2i = v,(1).
a) Show that the nonlinear model is
b) Solve for the operating point io when vino = 22 volts.
ΔΙ(s)
c) Derive the linearized model and associated transfer function G(s)
AV in(s)
Transcribed Image Text:Q5) The translational problem shown below has a linear and a nonlinear spring and is subjected to the applied force fa(t). a) Show that the nonlinear model is 2* + 6x + 3x + x² = fa(t). b) Solve for the operating point x0 when fa(t),= 10 N (assuming that x > 0). AX(s) c) Derive the linearized model and associated transfer function G(s) = A Fa(s) M=2kg fa(t) f:(x)= x² N B=6 N s/m Kj= 3 N/m Q6) The nonlinear resistor in the circuit shown obeys the equation Vr = 2 i3 0.5 H Vin(t) VR = 21 0.5i+3i+2i = v,(1). a) Show that the nonlinear model is b) Solve for the operating point io when vino = 22 volts. ΔΙ(s) c) Derive the linearized model and associated transfer function G(s) AV in(s)
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