The 5M/6S system has five identical loads, each of mass m, connected in series to six identical, ideal springs, each of

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The 5m 6s System Has Five Identical Loads Each Of Mass M Connected In Series To Six Identical Ideal Springs Each Of 1 (41.93 KiB) Viewed 23 times

The 5M/6S system has five identical loads, each of mass m, connected in series to six identical, ideal springs, each of stiffness k, with two walls at either end. Analyzing the system via Newton's 2nd law gives an eigenvalue equation in matrix form: Az = đã, with = 0 and 0= When defined this way, A consists of pure numbers. 1. Identify all the elements of A, and explain your reasoning in terms of physics. 2. Analyzing A with the eigensolver in the numpy library in python yields the following output. [2] 1 elvals.round(3) array(13.732, 3. 2. 0.268, 1. 1) [3] 1 eigvecs.round()) 1 array(0.289, 0.5 0.577. -0.5 .-0.5-0. [ 0.577. 0. -0.577, (-0.5 0.5 [ 0.289, -0.5 0.577. 0.289, -0.5 1. 0.5 -0.5 1. 0.577. 0. 1. 0.5). 0.289, 0.5)) . 0.5. 14) 1 (eigvecs / eigvecsto, 11).round(3) array( 1. . 1. 1. 1. [-1.732, -1. . -0. 1.732, 1. 12. . 0. . 2. [-1.732, 1. .-0. 1.732, -1. J. 1. 1. 11) Explain what this output means using words, labeled diagrams, and written algebra. Do not attempt to solve this eigenvalue problem by hand from scratch; also, do not bother with explaining how exactly the code works; just give a full explanation of what we are looking at in the output and what it represents physically. You are expected to recognize one particular decimal value and replace it with the exact value it represents.