Use a two element, finite element model to approximate the two lowest natural frequencies and their corresponding mode shapes for the system of Figure P11 13 begin aligned E 200 times 10 9 mathrm N mathrm m 2 A 1 6 times 10 4 mathrm m 2 L 2 5 mathrm m k 1 times 10 7 mathrm N mathrm m end aligned FIGURE P11 13 FIGURE P11 13 L k

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Question: Use a two-element, finite-element model to approximate the two lowest natural frequencies and their corresponding mode shapes for the system of Figure P11.13. [ begin{aligned}

Use a two-element, finite-element model to approximate the two lowest natural frequencies and their corresponding mode shapes for the system of Figure P11.13.

FIGURE P11.13 L k

\[ \begin{aligned} & E=200 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2} \\ & A=1.6 \times 10^{-4} \mathrm{~m}^{2} \\ & L=2.5 \mathrm{~m} \\ & k=1 \times 10^{7} \mathrm{~N} / \mathrm{m} \end{aligned} \]

FIGURE P11.13

FIGURE P11.13 L k

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