Consider the bar shown in $($Figure $1).$ Neglect the thickness of the bar. Take $\backslash (\backslash$mu$\_\{$A$\}=\backslash$mu$\_\{$B$\}=\backslash$mu $\backslash ).$ Suppose that $\backslash ($ b$=1\backslash$mathrm$\{$ft$\}\backslash ).$

Determine the smallest coefficient of static friction at both $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ needed to hold the uniform $100-$lb bar in equilibrium.

Express your answer using three significant figures.

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Hint $1.$ How to approach the problem

Since the bar is in equilibrium, equilibrium equations should be applied. It seems unreasonable to use only one equation, so a system of equations should be solved. Pay your attention to the normal force direction at both supports.

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