Question: Use a one-element, finite-element model to approximate the lowest torsional natural frequency of a uniform shaft with a length (L), polar moment of inertia (J),

Use a one-element, finite-element model to approximate the lowest torsional natural frequency of a uniform shaft with a length $L$, polar moment of inertia $J$, is made from an elastic material of density $ho$, and has a shear modulus $G$ that is fixed at one end and has a torsional spring of stiffness $k_{t}$ at its other end.

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