A more realistic model of the belt-pulley transmission of Fig. 5.8 should include a dashpot of damping coefficient c in parallel with each of the springs shown in that figure. For the damped model, assume that a torque τ = τ₀ cos ωt acts on the pulley of moment of inertia J₁. Find the Bode plots of the steady-state response of the flexible mode ψ₂(t) defined as in Example 5.3.1, i.e., as

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V2(t)=r01(t)-r202 (1)