MAE 318: System Dynamics and Controls lab 1 Before you start designing controllers for your customer, it is important to model your system mathematically. You will save a lot of time and resources if you try controllers in simulations for this mathematical model, rather than trying it directly on the setup. In your MAE 318 course you learned how to model an electromechanical plantlike a DC motor. For this lab, your task will be to identify the mechanical parameters of our plant. 1Pre-lab deliverable Please write the answers to these questions and submit them on canvas before coming to the lab, as a pdf file. The answers can be obtained by reading this whole lab handout. Pre-labs are to be submitted individually, they are not worked on as a team. 1.What is dry friction and what is viscous friction? Research on your own and explain them in a few sentences each. Also provide formulae to calculate force or torqueon a moving mass,due to dry and viscous friction separately. (2 points)2.When you give a voltage ??to a dcmotor, it moves. Derive step by step(using KVL and Newton's laws)the differential equation that relates the voltage ??to the