$14.($CH$11,$ EP$)$

A uniform metal rod, with a mass of $2\mathrm{.}0$ kg and a length of $1\mathrm{.}5$ m $,$ is attached to a wall by a hinge at its base. A horizontal wire bolted to the wall $0\mathrm{.}70$ m above the base of the rod holds the rod at an angle of $\backslash (28^\{\backslash$circ$\}\backslash )$ above the horizontal. The wire is attached to the top of the rod. $($a$)$ Find the tension in the wire. Find $($b$)$ the horizontal and $($c$)$ the vertical components of the force exerted on the rod by the hinge.