$1.(3$ Pts$.)$ Work problem number $6\mathrm{.}8$ in the textbook. Impending motion is down the plane. $2.(3$ Pts$.)$ Rework Example $6\mathrm{.}5$ in the textbook. However, assume the person on the ladder weighs $250$ lb $($rather than $200$ lb $)$ and the person is located $5$ ft from the top of the ladder $($point D is $5$ ft from the top of the ladder, rather than $4$ ft $).3.(3$ Pts$.)$ Work problem number $6\mathrm{.}16$ in the textbook. Draw a FBD first.

$4.(3$ Pts$.)$ Determine the minimum force P that can be applied without causing movement of the $250$ lb crate which has a center of gravity at G $.$ The coefficient of static friction at the floor is $\backslash (\backslash$mu$\_\{\backslash$mathrm$\{$s$\}\}=0\mathrm{.}40\backslash ).5.(3$ Pts$.)$ The ladder shown below rests on a frictionless surface at point $\backslash ($ B $\backslash )$ and a rough surface at point $\backslash ($ A $\backslash ).$ Determine the minimum coefficient of static friction at point $\backslash ($ A $\backslash )$ which would prevent the ladder from slipping.