Q$6.(8$ points$)$ A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of $6\mathrm{.}5$ kg$,$ a length of $1\mathrm{.}3$ m$,$ is at an angle of $17$ above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod.

$($a$)$ Determine the tension in the cord.

$($b$)$ Determine the horizontal component of the force exerted on the rod by the hinge.

Your answer with S$.$I. units:

$($c$)$ Determine the vertical component of the force exerted on the rod by the hinge.