$=3.$ Based on Problem $11\mathrm{.}48$ from the textbook, for a post$-$AB consisting of a steel pipe with a diameter of $4\mathrm{.}0$ in and a wall thickness of $0\mathrm{.}5$ in$,$ a block C weighing $22$ lb moves horizontally at a velocity $\backslash (\backslash$mathrm$\{$V$\}\_\{\backslash$mathrm$\{$O$\}\}\backslash ),$ and strikes the post at a right angle at A $.$ If $\backslash (\backslash$mathrm$\{$E$\}=31\backslash$times $10^\{6\}\backslash )$ psi, determine:

a$)$ The maximum velocity $\backslash (\backslash$mathrm$\{$V$\}\_\{0\}\backslash )$ for which the maximum normal stress in the pipe does not exceed $33$ ksi $.$

Figure $3.$ Adaptation of Problem $11\mathrm{.}48.$