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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