A thin uniform rod of mass m and length L leans up against a wall as shown. The wall is frictionless, but the floor is not. There are four forces acting on the ladder: the weight force w, the normal force from the floor nig, the static friction force from the floor f, and the normal force from the wall ny. (a): 4 points Draw and label clearly the four force vectors on the diagram in the appropriate locations. The direction and location of the force vectors will be graded, but the lengths don't matter. (b): 4 points Find ny, in terms of any or all of m, g, L, 0. Show your work. (c): 4 points Find nwe, in terms of any or all of m, g, L, 0. Show your work. [Hint: think about torque, using the base of the rod as a pivot point.] (d): 4 points Find f., in terms of any or all of m, g, 0. Show your work