$6.$ Design a PLC program and prepare a typical I$/$O connection diagram and ladder logic program that will correctly execute the industrial control process in Figure $8-38.$ The sequence of operation is as follows:

Figure $8-38$ Control process tor Problem $6.$

$-$ Product in position $($limit switch LS$1$ contacts close$).$

$-$ The start button is pressed and the conveyor motor starts to move the product forward toward position $\backslash ($ A $\backslash )($limit switch LS$1$ contacts open when the actuating arm returns to its normal position$).$

$-$ The conveyor moves the product forward to position $\backslash ($ A $\backslash )$ and stops $($position detected by $8$ off$-$to$-$on output pulses from the encoder, which are counted by an up$-$counter$).$

$-$ A time delay of $10$ s occurs, after which the conveyor starts to move the product to limit switch LS$2$ and stops $($LS$2$ contacts close when the actuating arm is hit by the product$).$

$-$ An emergency stop button is used to stop the process at any time.

$-$ If the sequence is interrupted by an emergency stop, counter and timer are reset automatically.