Problem 4. CE1.1a: A mechanical system is represented by the three degree-of-freedom linear time-invariant system shown in Figure There are three input forces ui(t) and three output displacements yi (t ), i = 1, 2, 3. The constant parameters are the masses mi, i = 1, 2, 3, the spring coefficients kj , and the damping coefficients cj, j= 1,2, 3, 4. Derive the mathematical model for this system, i.e., draw the free-body diagrams and write the correct number of independent ordinary differential equations. All motion is constrained to be horizontal. Outputs yi (t) are each measured from the neutral spring equilibrium location of each mass mi . y2(1) y3(1) Uz(t) Uz(t) wit m2 m3 C3 C4 FIGURE 1.14 Diagram for Continuing Exercise 1. Also express the results in matrix-vector form Mÿ(t) + Cỷ(t)+ К у(1) —D и(1).

Problem 4. CE1.1a: A mechanical system is represented by the three degree-of-freedom linear time-invariant system shown in Figure There are three input forces ui(t) and three output displacements yi (t ), i = 1, 2, 3. The constant parameters are the masses mi, i = 1, 2, 3, the spring coefficients kj , and the damping coefficients cj, j= 1,2, 3, 4. Derive the mathematical model for this system, i.e., draw the free-body diagrams and write the correct number of independent ordinary differential equations. All motion is constrained to be horizontal. Outputs yi (t) are each measured from the neutral spring equilibrium location of each mass mi . y2(1) y3(1) Uz(t) Uz(t) wit m2 m3 C3 C4 FIGURE 1.14 Diagram for Continuing Exercise 1. Also express the results in matrix-vector form Mÿ(t) + Cỷ(t)+ К у(1) —D и(1).

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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