Schematic of the system in interest

For our system we decided to use the motorized fader. We will be using this in our project as a way to mimic virtual guitar strings. A rough schematic can be seen in the image below.

The way the motorized fader works is by a rotary motor driving a belt that drives a slider. The slider has a potentiometer that determines the position of the fader. We will be using the position in this lab and in our future project.

The key parts that we are interested in is the voltage required by the motor to produce the desire feedback force at F_H and the position of the fader. The desired feedback force will be determined by the position of the fader. Therefore we wished to find the transfer function relating the input voltage to the position of the fader in this lab. The circuit setup with the physical motorized fader can be seen in the image below.