$(50$ pts $)$ The column shown below is supported by a hinge at its base, with the axis of the

hinge aligned with the z $-$axis. The force F acts on a rigid arm extending $10$ ft in the x

direction from the column. Determine the reactions at the base and the tension in the

cable. $(20$ pts$)$ Determine the moment the force F generates about point O $,$ and the moment it generates about axis OA $.$ Member AB runs parallel to the xy plane, and member BC has a height of $0\mathrm{.}7$ ft $.$ The force $\frac{?}{\text{b}\text{a}\text{r}}(F)=-\frac{25}{b}ar()-\frac{70}{b}ar()+\frac{36}{b}ar(k)lb.(30$ pts$)$ Determine the force $F$ needed to keep the particle below in equilibrium. Indicate

both magnitude and Cartesian vector form.