Part A

Two blocks $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ),$ each having a mass of $4\mathrm{.}5$ kg $,$ are connected by the linkage shown in $($Figure $1).$

If the coefficients of static friction at the contacting surfaces are $\backslash (\backslash$mu$\_\{$B$\}=0\mathrm{.}8\backslash )$ and $\backslash (\backslash$mu$\_\{$A$\}=0\mathrm{.}2\backslash ),$ determine the largest vertical force $\backslash ($ P $\backslash )$ that may be applied to pin $\backslash ($ C $\backslash )$ without causing the blocks to slip. Neglect the weight of the links.

Express your answer to three significant figures and include the appropriate units.

$\backslash [$

P$=\backslash$square

$\backslash ]$

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