As explained in lecture, we will be using a simple one-degree-of-freedom flywheel system in our labs this quarter. We want to create a dynamic model of this system, and to start, we will consider only the mechan- ical motion, ignoring the electrical dynamics of the motor. Shown below is a picture (Fig. 1a) of the physical hardware setup you will use, along with a schematic (Fig. 1b). Consider J to be the moment of inertia of the system and b to be the coefficient of viscous friction. We will start by assuming that the input to the system is the torque of the motor, , and the output is the angular speed, . (a) (b) Figure 1: (a) Photo of the flywheel system you will use in the labs. (b) Simplified schematic of the system, including the critical modeling parameters. (a) Read the document titled,"Description of Lab Hardware System" and answer the following questions. (i) Which component represents the actuator in this system? (ii) Which component is the sensor in this system? (iii) If we are interested in measuring or controlling the angular velocity of the flywheel, how can we do so with the given hardware? (b) Find the