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5. Consider the inverted-pendulum system shown below. Assume that the mass of the inverted pendulum is m and is evenly distributed along the length of the rod. (The center of gravity of the pendulum is located at the center of the rod.) Assuming that is small, derive mathematical models for the system in the forms of differential equations, transfer functions, and state-space equations. y u➡ M y'. 0 G е x' X

5. Consider the inverted-pendulum system shown below. Assume that the mass of the inverted pendulum is m and is evenly distributed along the length of the rod. (The center of gravity of the pendulum is located at the center of the rod.) Assuming that is small, derive mathematical models for the system in the forms of differential equations, transfer functions, and state-space equations. y u➡ M y'. 0 G е x' X

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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5. Consider the inverted-pendulum system shown below. Assume that the mass of the inverted pendulum is m and is evenly distributed along the length of the rod. (The center of gravity of the pendulum is located at the center of the rod.) Assuming that is small, derive mathematical models for the system in the forms of differential equations, transfer functions, and state-space equations. y u➡ M y'. 0 G е x' X
Transcribed Image Text:5. Consider the inverted-pendulum system shown below. Assume that the mass of the inverted pendulum is m and is evenly distributed along the length of the rod. (The center of gravity of the pendulum is located at the center of the rod.) Assuming that is small, derive mathematical models for the system in the forms of differential equations, transfer functions, and state-space equations. y u➡ M y'. 0 G е x' X
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