3. The dynamics of a plane pendulum subject to some external force is described by g x + sin x = : u(t), l where x is the angular displacement, I is the length of its link, and g is the standard gravity. (a) (b) (c) What is the equilibrium of the pendulum with u(t) = F being a constant? Write down the linearized equation for small angular displacement. Derive the harmonic response x(t) = X sin(wt) subject to u(t) = F sin(wt) from the linearized equation.

3. The dynamics of a plane pendulum subject to some external force is described by g x + sin x = : u(t), l where x is the angular displacement, I is the length of its link, and g is the standard gravity. (a) (b) (c) What is the equilibrium of the pendulum with u(t) = F being a constant? Write down the linearized equation for small angular displacement. Derive the harmonic response x(t) = X sin(wt) subject to u(t) = F sin(wt) from the linearized equation.

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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