Problem $1(40$ points$)$ : You are trying to evaluate the amount of force a worker must exert and see if implementing an assistive device would help reduce injury for the work. Pictured below, the worker and the job you are assessing. You are interested in the shoulder joint for this problem.

$-$ The drill weighs $3\mathrm{.}1$ kg and is $80$ cm away $($horizontal distance$)$ from the shoulder joint

$-$ The worker's arm weighs $17$ lbs from the shoulder to the fingers. The center of mass of this weight is $40$ cm from the shoulder joint

$-$ Note: don't forget to look at your units.

Answer the following questions and number your answers $($you do not need to write in paragraph form$)$

$1.$ Draw a Free Body Diagram $($FBD$)$ for the right arm only.

a$.$ Assume the drill is not touching the wall.

b$.$ Assume the worker is not supporting themselves on anything

c$.$ Assume the deltoid muscle is holding up the drill. The deltoid muscle is pointing towards the shoulder joint $($in $\backslash (+$x $\backslash )$ axis, to the right$)$ and runs parallel to the arm but $2$ cm above the shoulder joint

d$.$ Assume the arm is straight and parallel to the ground.

$2.$ Calculate the deltoid muscle force. Is the muscle for pointing towards the shoulder or away from the shoulder?