A $5kg$ box slides down a frictionless incline angled at $37.$ Study the diagram shown below. Notice that the coordinate axes are rotated so that the $x-$axis is parallel with the incline. The weight of the cart is shown pointing straight down. Divide the weight vector into its component pointing in the $x$ direction, $w_x,$ and its component pointing in the $y$ direction, $w_y.$