Problem $2$:

A man is holding a $10$ lbf suitcase. His arm weighs $8$ lbf $.$ Assume the center of gravity of his arm

is located at the elbow joint. The elbow is $9$ inches from his shoulder joint, point $0.$ The image

below shows his arm at $=90.$

Using your program of choice $($e$.$g$.$ Matlab, Excel$),$ plot of the moment $($y$-$axis$)$ about point $0$ of:

$(1)$ just the suitcase, $(2)$ just his arm, and $(3)$ the total of the suitcase and arm moments about

point O as $($x$-$axis$)$ ranges from $0$ to $180,=0$ when his arm is perfectly vertical. Include this

plot and the equation you used for all $3$ cases in your solution. Place all $3$ cases on the same

plot. Make sure to label your axes and use a legend to identify the $3$ cases. The definition of a

positive moment is CCW about an axis that is perpendicular to the $x-y$ plane going through

point $0.$