a $10\mathrm{.}0-$m long bar is attached

by a frictionless hinge to a wall and held horizontal by a rope

that makes an angle of $60$ with the bar. The bar is uniform

and weighs $50\mathrm{.}0$ N$.$ A $10\mathrm{.}0-$kg mass is suspended $6\mathrm{.}3$m from the

hinge. What is the tension T in the rope?