Situation $2$: $(10$pts$.$ each$)$

A prestressed pile $14\mathrm{.}4758$ m long is to be lifted by two cables.

a$.)$ Find the distance $(m)$ from both ends of the pile must each cable be placed in order that

shear in the pile is a minimum.

b$.)$ Find the distance $(m)$ from both ends of the pile must each cable be placed in order that

the bending moment in the pile is a minimum.

c$.)$ With one end of the pile resting on the ground, at what distance $(m)$ from the other end

of the pile must the cable be placed in order that the bending moment in the pile is a

minimum.