I’m struggling with questions a b c x₁ (t)Data:m = 2 kg.k = 1 N/m.c = 4 Ns/m.fi(t)=-1 N.fa(t)=2 N.Cmлийb) Introducing the change of variablex₂ (t)Fig. Q1 Dynamic systemAn engineer is interested in the horizontal displacement of the dynamic system depicted in Fig. Q1.The two solids have the same mass m, are connected by a spring with stiffness k, and are bothconnected to the ground by dampers (viscous damping) with a damping coefficient c. The horizontaldisplacement of the left mass is denoted by 21 (t) and the horizontal displacement of the right massis denoted by 22(t). Both masses are initially at rest (the initial displacement and speed are zero). Aforce fi(t) is applied on the left mass and a force f2(t) is applied on the right mass.C91 (t) = x₁(t) + ₂(t),92 (t)=₁(t)-T2(t),ma) Show that the displacements ₁ (t) and r2(t) are given by the solutions of the equationsmä(t) + ci(t) +k(F₁(t)- T₂(t)) = f(t),mi₂(t)+ci₂(t)+k(x2(t)-1(t)) = f(t).and combining the two equations established in Q1-a, show that q₁ (t) and q2 (t) are given by thesolutions of the equationsmai (1) + ci(t)=√1 (1) + S2(1),miz(t) + c(t) + 2kga(t) = f(t) - fa(t).c) Calculate q, (f) and qz (1) (hint for q (t); introduce the change of variable z(t) = (t))

An engineer is interested in the horizontal displacement of the dynamic system depicted in Fig. Q1. The two solids have the same mass m, are connected by a spring with stiffness k, and are both connected to the ground by dampers (viscous damping) with a damping coefficient c. The horizontal displacement of the left mass is denoted by 2₁ (t) and the horizontal displacement of the right mass is denoted by 12(t). Both masses are initially at rest (the initial displacement and speed are zero). A force fi(t) is applied on the left mass and a force f2(t) is applied on the right mass. Data:

An engineer is interested in the horizontal displacement of the dynamic system depicted in Fig. Q1. The two solids have the same mass m, are connected by a spring with stiffness k, and are both connected to the ground by dampers (viscous damping) with a damping coefficient c. The horizontal displacement of the left mass is denoted by 2₁ (t) and the horizontal displacement of the right mass is denoted by 12(t). Both masses are initially at rest (the initial displacement and speed are zero). A force fi(t) is applied on the left mass and a force f2(t) is applied on the right mass. Data:

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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