4.31 Three masses, m₁ = 2 kg, m₂ = 3 kg, and m3 = 1.5 kg, are attached to = 20 N/m, and k₁ = 15 N/m, as springs, k, = 30 N/m, k₂= 25 N/m, k3 shown. Initially the masses are positioned such that the springs are in their nat- ural length (not stretched or compressed); then the masses are slowly released and move downward to an equilibrium position as shown. The equilibrium equations of the three masses are: (k₁+k₂ + kg)u₁-kzU₂ = m₁g - k3u₁ + (k3+k₁)u₂-k4u3 = m₂g ky 3 kiş 7222 73 Uy M m M -k4u₂+k4l3 = mzg where u₁, ₂, and u, are the relative displacement of each mass as shown. Determine the displacement of the three masses. (g = 9.81 m/s²)

4.31 Three masses, m₁ = 2 kg, m₂ = 3 kg, and m3 = 1.5 kg, are attached to = 20 N/m, and k₁ = 15 N/m, as springs, k, = 30 N/m, k₂= 25 N/m, k3 shown. Initially the masses are positioned such that the springs are in their nat- ural length (not stretched or compressed); then the masses are slowly released and move downward to an equilibrium position as shown. The equilibrium equations of the three masses are: (k₁+k₂ + kg)u₁-kzU₂ = m₁g - k3u₁ + (k3+k₁)u₂-k4u3 = m₂g ky 3 kiş 7222 73 Uy M m M -k4u₂+k4l3 = mzg where u₁, ₂, and u, are the relative displacement of each mass as shown. Determine the displacement of the three masses. (g = 9.81 m/s²)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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