STRENGTH $($MECHANICAL ENGINEERING$)$

c$)$ The hole with a diameter of $20$ mm will be punched into the plate of $25$ mm thickness as shown in Figure $1($c$)$ where the ultimate shearing stress of the plate is $330$ MPa $.$ Determine the required force P and then the compressive stress in the puncher and the safety factor of the puncher if the ultimate compressive stress is $1\mathrm{.}9$ GPa $.$

$($PLEASE REFER TO THE FIGURE GIVEN TO DRAW A FREE BODY DIAGRAM AND LABEL IT $)$

$($PLEASE SHOW THE FORMULA YOU USE TO SOLVE THIS QUESTION AND SHOW THE INSERTION VALUE ON THE FORMULA IN YOUR CALCULATION STEPS$)$

$($MAKE SURE YOU ANSWER WHAT ALL QUESTION NEED IN THIS QUESTION $)$THANKS$.$

$(5$ marks$)$