Q1) Figure below shows two pendulums suspended from frictionless pivots and connected at their midpoints by spring. Assume that each pendulum can be represented by a mass M at the end of massless bar of length L. Also assume that the displacements small and linear approximations can be used for sin (0) and cos (0). The spring located in the middle of the bars is unstreched when 0, = 02. The input force is represented by f(t), which influences the left-hand bar only. (a) Obtain the equations of motion, and sketch a block diagram for them. (b) Determine the transfer function T(s) = 0,(s)/F(s). [P.S. For small angle, sin (0) = 0 , cos (0) × 1] L/2 fin- wwww

Q1) Figure below shows two pendulums suspended from frictionless pivots and connected at their midpoints by spring. Assume that each pendulum can be represented by a mass M at the end of massless bar of length L. Also assume that the displacements small and linear approximations can be used for sin (0) and cos (0). The spring located in the middle of the bars is unstreched when 0, = 02. The input force is represented by f(t), which influences the left-hand bar only. (a) Obtain the equations of motion, and sketch a block diagram for them. (b) Determine the transfer function T(s) = 0,(s)/F(s). [P.S. For small angle, sin (0) = 0 , cos (0) × 1] L/2 fin- wwww

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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Question

Control system

Q1) Figure below shows two pendulums suspended from frictionless pivots and
connected at their midpoints by spring. Assume that each pendulum can be
represented by a mass M at the end of massless bar of length L. Also assume that
the displacements small and linear approximations can be used for sin (0) and cos
(0). The spring located in the middle of the bars is unstreched when 0, = 02. The
input force is represented by f(t), which influences the left-hand bar only. (a)
Obtain the equations of motion, and sketch a block diagram for them. (b)
Determine the transfer function T(s) = 0,(s)/F(s). [P.S. For small angle, sin (0) =
0 , cos (0) × 1]
L/2
fin-
wwww

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