[5]. For the control system shown in Fig5. The force of attraction on the solenoid is given by f. = Ki, where K has the unit pound per ampere. The voltage appearing across the generator field is given by e, = k x where K, has the unit volt per inch and x is in inches. When the voltage across the solenoid coil is zero, the spring K, is unstretched andx = 0. a) Draw all necessary equations across the solenoid relating all the variables in the system. b) Draw a block diagram for the control system. The diagram should include enough blocks to indicate specifically the variables I. (s), X(s), I, (s), E (s) and T(s). Give the transfer function for each block in the diagram