a) Write the equation of motion for this system and show that it can be put in the form (b1 + b2) žo + kz, = brżi + kr. [Hint: You may use the Newton's second law for the point (with zero mass) at the origin of 19, or have a cut at the origin of ro and investigate the force balance, or etc.] b) Find the transfer function X, (s) /X; (s). c) Show that the transfer function can be put in the form X.(s) X: (s) %3D Z2 + Z1' where Z, and Zz are Z = bys, 2= bs+k. ww

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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a) Write the equation of motion for this system and show that it can be put în the form
(b1 + b2)ž, + kr, = b;i; + krj-
[Hint: You may use the Newton's second law for the point (with zero mass) at the origin of I9, or
have a cut at the origin of zə and investigate the force balance, or etc.]
b) Find the transfer function X, (s) /X; (s).
c) Show that the transfer function can be put în the form
X,(s).
X; (s)¯ Z2 + Z1'
where Z1 and Zz are
Z1 = b2s,
2 = bịs + k.
w
Transcribed Image Text:a) Write the equation of motion for this system and show that it can be put în the form (b1 + b2)ž, + kr, = b;i; + krj- [Hint: You may use the Newton's second law for the point (with zero mass) at the origin of I9, or have a cut at the origin of zə and investigate the force balance, or etc.] b) Find the transfer function X, (s) /X; (s). c) Show that the transfer function can be put în the form X,(s). X; (s)¯ Z2 + Z1' where Z1 and Zz are Z1 = b2s, 2 = bịs + k. w
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