Homework$-$Week $13($show your work$)$

$($P$7)$ A box of mass $40$ kg hangs motionless from two ropes, as shown in Figure $5\mathrm{.}65.$ The angle is $38$ degrees. Choose the box as the system. The $x$ axis runs to the right, the $y$ axis runs up$,$ and the $z$ axis is out of the page. $($a$)$ Draw a free$-$body diagram for the box. $($b$)$ Is $\frac{d(vec(p))}{dt}$ of the box zero or nonzero? $($c$)$ What is the $y$ component of the gravitational force acting on the block? $($A component can be positive or negative$).($d$)$ What is the $y$ component of the force on the block due to rope $2?($e$)$ What is the magnitude of vec$(F{)}_2?($ f $)$ What is the $x$ component of the force on the block due to rope $2?(g)$ What is the $x$ component of the force on the block due to rope $1?(20$ points$)$

Figure $5\mathrm{.}65$