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1. Consider a rod vibrating along its length which is modelled using a linear element as indicated in Figure 1. u(t) L u(t) Figure

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1. Consider a rod vibrating along its length which is modelled using a linear element as indicated in Figure 1. u(t) L u(t) Figure Q7 The finite element equation for this problem is: 1 [2 * 4 11-177 {* p }} 6 1 A = where k = 16,512 kN/m is the element stiffness, and m = 1.7 kg is the mass of the element. A and f represent the amplitude matrix and force matrix. Consider that the element is now fixed to a wall, so that u(t) = 0. Determine an eigenvalue for the constrained problem with two decimal points. I Hint: by considering the constraint you will need to solve only 1 equation.

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