A $670-$lbs load is supported by the rope$-$and$-$pulley arrangement shown. Knowing that $=21,$ determine the magnitude and direction of the force $P$ which should be exerted on the free end of the rope to maintain equilibrium.

$($Hint: Draw the FBD of the pulley. Also note that the tension in the rope is the same on each side of a simple pulley.$)$

Also note that the angle $$ has two possible solutions. However in this problem, we are only looking for the positive value.

$=$

$$

$P(mag)=$

$lbs$