Problem $3$

Determine the direction $$ for $0$

$180$ of the force $F$ so that it produces $($i$)$

the maximum and $($ii$)$ the minimum

moment about point A and calculate these

moments. Finally, $($iii$)$ determine the

moment of the force $F$ about point $A$ as a

function of $.$ Plot the results of $M$

$($ordinate$)$ versus $($abscissa$)$ for $0$

$180.$