(b) A spring-dashpot-mass system with an input F and an output x, where d²x dx m- + c, + kx = F dr? dt

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answer part b

20.1
What are the transfer functions for systems giving the following input/
output relationships?
(a) A hydraulic system has an input q and an output h where
dh
pgh
q = A-
dt
R
(b) A spring-dashpot-mass system with an input F and an output x, where
d²x
dx
M-
+ c-
+ kx
F
dr?
dt
(c) An RLC circuit with an input v and output vc, where
d'vc
+ LC-
dr?
dvc
v = RC-
+ vc
dt
Transcribed Image Text:20.1 What are the transfer functions for systems giving the following input/ output relationships? (a) A hydraulic system has an input q and an output h where dh pgh q = A- dt R (b) A spring-dashpot-mass system with an input F and an output x, where d²x dx M- + c- + kx F dr? dt (c) An RLC circuit with an input v and output vc, where d'vc + LC- dr? dvc v = RC- + vc dt
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