Determine the transcendental equation

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Reference no: EM131783915

A uniform bar has these specifications: length I, mass density per unit volume p, and torsion al stiffness I_pG, where I_p is the polar moment of inertia of the cross section and G the shear modulus.

The end x = 0 is fastened to a torsion al spring of stiffness K Ib· in./rad, and the end 1 is fixed.

Determine the transcendental equation from which natural frequencies can be established.

Verify the correctness of this equation by considering special cases for K = 0 and K = ∞.

Reference no: EM131783915

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