Preblem $2.$ An overhung diving board is shown in the following figure with a cross$-$section of $305mm32mm.($a$)$ Find the largest principal stress that will result when a $60-kg$ person jumps up $25$ cm at the free end and lands back on the board. Assume that the board weighs $25$ kg and deflects $10$ cm statically when the person stands on it$.($b$)$ What is the static safety factor if the board material has an ultimate stress of $200$ MPa in the longitudinal direction?

$(30$ marks$)$