Problem $05\mathrm{.}031-$ Using a free body diagram, determine the given parameter to minimize the normal stress $-$ DEPENDENT MULTI$-$PART PROBLEM $-$ ASSIGN ALL PARTS

Consider the given beam and loading where $\backslash ($ P$=5\backslash$mathrm$\{$kips$\}/\backslash$mathrm$\{$ft$\}\backslash ).($For W$14\backslash (\backslash$times $68,$ S$\_\{$X$\}=103\backslash$mathrm$\{$in$\}^\{3\}\backslash ).)$

Problem $05\mathrm{.}031.$a $-$ Determine the value of length a for the smallest bending moment

Determine the distance a for which the absolute value of the bending moment in the beam is as small as possible. $($Round the final answer to two decimal places. You must provide an answer before moving to the next part.$)$

The distance $\backslash ($ a $\backslash )$ is ft$.$