2. Find the natural frequencies and corresponding modeshapes for the following values of masses and springconstants.2.1 mı = 1 kg, m2 = 1 kg, k1 = 1 N/m, k2 = 1 N/m, and k3 = 0. (Solution attached)2.2 m1 = 1 kg, m2 = 2 kg, k1 = 1 N/m, k2 = 1 N/m, and k3 = 1.2.3 m1 = 1 kg, m2 =2.4 m1 = 1 kg, m2 = 1 kg, ki = 100 N/m, k2 = 200 N/m, and k3 = 100.2.5 m1 = 2 kg, m2 =meaning the first natural frequency is 0.)1 kg, k1 = 100 N/m, k2 = 100 N/m, and k3 = 200.1 kg, ki = 0 N/m, k2 = 1 N/m, and k3 = 0. (This system has a rigid body motion,%3D 1. Consider a system shown below. Derive the equations of motion in terms of m1, m2, k1, k2, k3, 11 (t),and r2 (t) in the matrix form.X2kikzk3m2

Answered: Image /qna-images/answer/252be9cd-b623-4598-a2a2-83c30908e9f9.jpg

2. Find the natural frequencies and corresponding modeshapes for the following values of masses and spring constants. 2.1 m1 = 1 kg, m2 = 1 kg, k1 = 1 N/m, k2 = 1 N/m, and k3 = 0. (Solution attached) 2.2 m1 = 1 kg, m2 = 2 kg, k1 = 1 N/m, k2 = 1 N/m, and k3 = 1. 2.3 mị = 1 kg, m2 = 2.4 m1 = 1 kg, m2 = 1 kg, ki = 100 N/m, k2 = 200 N/m, and k3 = 100. 2.5 m1 = 2 kg, m2 = 1 kg, ki = 0 N/m, k2 = 1 N/m, and k3 = 0. (This system has a rigid body motion, meaning the first natural frequency is 0.) 1 kg, k1 = 100 N/m, k2 = 100 N/m, and k3 = 200. %3D

2. Find the natural frequencies and corresponding modeshapes for the following values of masses and spring constants. 2.1 m1 = 1 kg, m2 = 1 kg, k1 = 1 N/m, k2 = 1 N/m, and k3 = 0. (Solution attached) 2.2 m1 = 1 kg, m2 = 2 kg, k1 = 1 N/m, k2 = 1 N/m, and k3 = 1. 2.3 mị = 1 kg, m2 = 2.4 m1 = 1 kg, m2 = 1 kg, ki = 100 N/m, k2 = 200 N/m, and k3 = 100. 2.5 m1 = 2 kg, m2 = 1 kg, ki = 0 N/m, k2 = 1 N/m, and k3 = 0. (This system has a rigid body motion, meaning the first natural frequency is 0.) 1 kg, k1 = 100 N/m, k2 = 100 N/m, and k3 = 200. %3D

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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