I am struggling with question 1 a b c d Question 1An engineer is interested in the vibration of the system represented in figure Q1.x(t)y(t)trmFigure Q1-Dynamic systemThe horizontal displacement y(t) of the left solid is imposed. Then we only study the horizontaldisplacement (t) of the right solid which has a mass m = 1 kg. The stiffnesses of the springsrepresented in figure Q1 are k₁ = k₂ = 1 N/m.It is assumed that y(t) is harmonic:y(t) = 2 cos(w₁ t) + 4 sin(w₂ t),(1.1)with w₁ = 1 rad/s, w2= 2 rad/s.a) Show that the displacement of the right mass is solution of the following equation:mä(t) + (k₁ + k₂)x(t) = k₁ y(t)(1.2)b) Calculate the natural frequency, the damping ratio and the input associated with equation (1.2).c) Calculate the harmonic forced response (t) associated with equation (1.2).d) Assuming that the stiffnesses are both equal to the same value denoted by k (then k₁ = k₂ = k),calculate the values of k that yield a large response amplitude.

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Answered: The horizontal displacement y(t) of the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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