Inertial Load Torque Profile Objective: To investigate the torque profile required for an inertial load and explore using electrical circuits to model a mechanical load. Description: In this project investigates a motor used to move an inertial load. The load is to move through the following speed profile: Speed 50 rad/s 2s 4s 5s t The motor is connected directly to a load. The parameters of the system are given as: = JM 0.2 kg m2 (motor inertia) JL = 0.4+0.01 n kg m (load inertia) where n in the load inertia relationship is the last digit in your ZID. 1) Sketch the torque profile required for this motor configuration as a function of time. 2) Do a SPICE simulation of the above system. Show the calculated torque load will produce the desired speed profile. 3) Consider that the motor used to develop the torque is a dc motor with kT = kE = 0.4 Vs and Ra = 0.2 Q2. Based on the torque profile, calculate the armature voltage profile required to create that torque profile. Plot the voltage required as a function of time. It can be assumed that armature inductance, La, is small so the armature time constant can be neglected. 4) Do a SPICE simulation of the dc machine connected to the load. Verify the proper speed profile is obtained. Report: The report should show the steps used in obtaining the results. The circuit used in the simulation along with the simulation results also need to be given.