$(17\mathrm{.}4)\backslash ($ A $\backslash )$ boom consists of a $100-$mm diameter steel pipe $\backslash ($ A B $\backslash )$ and a cable $\backslash ($ B C $\backslash )$ as shown in the figure. The modulus of elasticity of steel E $=200,000$ MPa $.$ Determine the capacity P of the boom. Use the Euler formula with a factor of safety of $3.$ Neglect the weight of the pipe.

Section property of the pipe $\backslash (\backslash$mathrm$\{$A$\}=2050\backslash$mathrm$\{$~mm$\}^\{2\}\backslash )$ and the radius of gyration $\backslash (\backslash$mathrm$\{$r$\}=28\mathrm{.}4\backslash$mathrm$\{$~mm$\}\backslash ).$