Task$\_02[25$ Marks$]$

$2\mathrm{.}1.$ Provide suitable engineering examples which is related to open loop and closed loop control system by using appropriate block diagram.

$2\mathrm{.}2.$State advantages of using a Closed Loop System compared to using Open Loop System.

$2\mathrm{.}3.$Suppose you wish to design a rotational system for a CNC lathe machine as shown in figure below. The rotation of a disk result of twisting a shaft.

a$)$ Identify and list down the three basic elements and their properties in your design.

b$)$ Derive a mathematical model for the design.

c$)$ What type of sensor can be used to measure the torque transferred by above system? Briefly explain its operation.