2. During starting of an automobile, a switch engages the 12-volt battery to the DC starter motor, which cranks the engine. The starter motor’s electrical resistance R = 0.01 ohm, and the motor’s current to torque constant K =1N mA^−1. The engine presents friction (damping b = 5 N m^s) and inertia (J = 5 N m s^2)to the starter motor. Obtain the system equation(s), and determine the response for a typical start.
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