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Required information

Problem $08\mathrm{.}024-$ A uniform rod leaning against the wall

The $14-$lb uniform rod $\backslash ($ A B $\backslash )$ is held in the position shown by the force $\backslash (\backslash$mathbf$\{$P$\}\backslash ).$ It is given that the coefficient of static friction is $0\mathrm{.}20$ at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ).$

Problem $08\mathrm{.}024.$b $-$ Maintaining the system in equilibrium

Determine the largest value of $\backslash ($ P $\backslash )$ for which equilibrium is maintained.

The largest value of $\backslash ($ P $\backslash )$ for which equilibrium is maintained is

lb$.$