3. (20 pts) A bar (M = 1 kg) that is 5 meters in length hangs in equilibrium from a wall by a cord. The bar is also attached to a hinge at the wall (see figure). Hanging from the bar by a separate cord is a 10 kg mass. Note that the hinge exerts a two dimensional force with both x and y components on the bar.
(a) (10 pts) Find the tension in the cord attaching the bar to the wall.
(b) (10 pts) Find the x and y components of the force exerted on the bar by the hinge.
M (bar) = 1 kg
m = 10 kg
θ = 30°
T = ?