A dc motor develops 55 N-m of torque at a speed of 600 rad/s when 12 volts are applied. It stalls out at this voltagewith100N-mof torque. If the inertia and damping of the armature are7kg-m² and 3N-m-s/rad, respectively, find the transfer function, G(s) = θ_L(s)/E_a(s), of this motor if it drives an inertia load of 105 kg-m² through a gear train, as shown in Figure P2.32.

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ealt) Motor N1 = 12 N2 = 25 N3 = 25 N4 = 72 Load FIGURE P2.32