The 20-lb spoked wheel has a centroidal radius of gyration k = 6 in. A torsional spring of constant k_T = 160 lb-ft/rad resists rotation about the smooth bearing. If an external torque of form M = M₀ cos wt is applied to the wheel, what is the magnitude of its steady-state angular displacement? The moment magnitude is M₀ = 8 lb-ft and the driving frequency is w = 25 rad/sec.

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M kT W