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