$(8$ pts$.)$ The block shown rests on an incline of $32.$ Determine the force necessary to push the block up the incline, if the block weighs $30$ kN $.$ The coefficient of friction is $0\mathrm{.}24.$

$(4$ pts$.)$ Determine the force, $P,$ necessary to cause the block shown to begin to slide. The coefficient of friction is $0\mathrm{.}33$ and the block weighs $200$ lb $.$

Show all work for both problems.