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3. A flyball governor is similar to modern centrifugal clutch systems. Watt's original design is shown below for reference. Later designs placed the moving ring below the rotating masses. a) Develop an expression for the vertical location of the collar using the top center (black dot) as the origin of the coordinate system. (2pts) b) Develop an expression for the rate of change of the collar and acceleration of the collar.(2pts) c) The dynamics of the system is driven by the rotation of the two masses. Derive an expression for the velocity and acceleration of ONE of the masses. Include the rotation and rotational acceleration. (Hint, if you introduce a rotational angle you can take derivatives. 6pts) Watt's Flyball Governor 4 Operating Throttle Control Shang EU Speed Sensor Centifi