The wall crane supports a load P $=500$ lb$.$ The jib ABC has a weight of $90$ lb and member BD has a weight of $35$ lb$.$ Each member is uniform and has a center of gravity at its center. Determine the following:

$[9]$ Reaction at pin A $($Answer: $1532\mathrm{.}847$ lb$)$ and the resultant force at pulley B $($Answer: $250\mathrm{.}000$ lb$)$

$[10]$ Force in the cable at winch W $($Answer: $250\mathrm{.}000$ lb$)$ and the horizontal component of the reaction at pin D $($Answer: $1324\mathrm{.}006$ lb$)$