The system below is a leadscrew-driven stage that positions a mass. It has the following properties: input voltage 24 V 20 kg load mass screw length 500 mm motor model Electrocraft RPX2242V24 screw lead 5 mm screw diameter 12 mm screw material steel (7800 kg/m) https://www.electrocraft.com/products/bldc/RPX22/ 1. Develop the dynamic model parameters. Assume damping is negligible. 2. Determine the transfer function (input voltage, output position). 3. What order is the system? What is(are) the pole(s)? 4. Construct the Simulink file for the system and specify the response to a sample step input. Include the Simulink file and screen capture of the input/output.