please ans a Q 1(a)Consider the system shown in Figure 1. Assume that any motion of the two massesis vertical. The spring stiffnesses are kz = 1000 N/m and k, = 3000 N/m.Measure the positions of the two masses, from their equilibrium positions, in theways shown in the diagram. Using free-body diagrams, find their equations ofmotion.Find the mass and stiffness matrices for the system.1 kg10 kgFigure 1Q 1(b)Find the modal frequencies and corresponding mode shapes for the system inQ1(a).Q 1(c)The system in Q1(a) is released from rest at time t = 0 with x, (0) = x2(0) = 10 mm.Using your solution for Q1(b), find how the two masses move over time t> 0.Q 1(d)State any two differences between the idealised model of the system used in Q1(a)and any real mass-spring system like that being analysed (other than the assumptionstated in Q1(a) that any motion is vertical).A more accurate model of a real system could be solved using Simulink orequivalent software. State any one significant reason why you might choose toanalyse an idealised model instead.

For solution of part a). (As you asked for) refer below images.

Q 1(a) Consider the system shown in Figure 1. Assume that any motion of the two masses is vertical. The spring stiffnesses are k, = 1000 N/m and k, = 3000 N/m. Measure the positions of the two masses, from their equilibrium positions, in the ways shown in the diagram. Using free-body diagrams, find their equations of motion. Find the mass and stiffness matrices for the system. 1 kg 10 kg Figure 1

Q 1(a) Consider the system shown in Figure 1. Assume that any motion of the two masses is vertical. The spring stiffnesses are k, = 1000 N/m and k, = 3000 N/m. Measure the positions of the two masses, from their equilibrium positions, in the ways shown in the diagram. Using free-body diagrams, find their equations of motion. Find the mass and stiffness matrices for the system. 1 kg 10 kg Figure 1

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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