Consider the following hydraulic / mechanical system, where pj and P2 are the inputs to the system, and the piston is driving a pendulum. Assuming small angles 0 and a concentrated mass ma distance L1 from the pivot. P2 R2 P3 P4 Pa L2 Li m a. Develop the dynamic equation to model of the piston displacement, 0, as a function of the inputs, p1 and p2 in standard form.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the following hydraulic / mechanical system, where pi and P2 are the inputs to the system,
and the piston is driving a pendulum. Assuming small angles 0 and a concentrated mass ma
distance L1 from the pivot.
Pell
(P2
R2
P1
Pa
¡P3
R1
P4
L2
Li
Develop the dynamic equation to model of the piston displacement, 0, as a function of the
inputs, p1 and p2 in standard form.
b. If you were to consider the input to the system to be the difference between the pressure on
0(s)
either side of the piston, write the transfer function for the displacement of the piston:
AP(s)
Xj = 0
c. Develop the state equations for this system if the state variables are:
Transcribed Image Text:Consider the following hydraulic / mechanical system, where pi and P2 are the inputs to the system, and the piston is driving a pendulum. Assuming small angles 0 and a concentrated mass ma distance L1 from the pivot. Pell (P2 R2 P1 Pa ¡P3 R1 P4 L2 Li Develop the dynamic equation to model of the piston displacement, 0, as a function of the inputs, p1 and p2 in standard form. b. If you were to consider the input to the system to be the difference between the pressure on 0(s) either side of the piston, write the transfer function for the displacement of the piston: AP(s) Xj = 0 c. Develop the state equations for this system if the state variables are:
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