A pulley 4 ft in diameter and supporting a load 200 lb is mounted at $B$ on a horizontal beam as shown. The beam is supported by a hinge at $A$ and rollers at $C$. Neglecting the weight of the beam, determine the reactions at $A$ and $C$.
$R_C = 50$ lb
$R_A = 180.27 \, \text{ lb} \text{ up to the right at } 16.1^\circ \text{ from horizontal.}$
