Question: Use a one-element, finite-element model to predict the lowest natural frequency of a beam with a length (L), cross-sectional area (A), mass moment of inertia

Use a one-element, finite-element model to predict the lowest natural frequency of a beam with a length \(L\), cross-sectional area \(A\), mass moment of inertia \(I\), is made from a material of mass density \(ho\), and has an elastic modulus \(E\) that is fixed at one end and attached to a linear spring of stiffness \(k\) at the other end.

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