Problem $2$: As an engineer for an implant design company, the FDA contacts you because it is receiving reports that your company's bone pin implant is failing in patients, a less than ideal situation. Your bone pin is used to stabilize a fracture of the fifth metatarsal and the FDA would like to work with you to identify the problem. After analyzing how the adhesive for the bone pin $($aka the beam$)$ attaches into the bone, you draw an approximate free body diagram of the complex loading and connection to other biologic structures $($aka the supports$)$ shown below. It includes a fixed support at the left end.

If the magnitude of the flexural yield stress $($this is a synonym for bending yield$)$ is $42$MPa and you don't want any plastic deformation, what is the maximum load F that can be applied downward to the end of the bone pin? Justify with an appropriately labeled moment diagram that shows how you decided where the max$\frac{s}{m}in(s)$ were. $($Desmos is my favorite easy graphing website$).$ Given: $d=3cm,w=4\frac{N}{c}m$ peak, $x=0$ at the wall.

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