Numerical Problem $(10$ points$)$: Robotic arms are the most common machines used in manufacturing, processing

and engineering research. One of the major concerns for these machines is the instability in the foundation due

to changes in the moment as the arm moves. Here is an example of one such robotic arm, where the $160N$ weight

of the arms $AB$ and $BC$ of the acts at the midpoints. Additionally, the robotic arm is picking up a weight of $40N$ at

the end of the 'hand'.

$(5$ points$)$ Calculate the perpendicular distances for the two $160N$ forces and the $40N$ force from the foundation

$($point A$).$

$(5$ points$)$ Calculate the sum of moments for the two $160N$ forces and the $40N$ force about the foundation $($point

A$).$