Please Keep all units in imperial $($U$.$S$.$ Standard Units$)$

$14.$ See Figure P$12-1.$ The shaft rotating at $550$ rpm carries a $10-$in$-$diameter V$-$belt sheave at $\backslash ($ D $\backslash )$ that delivers $30$ hp to a mating sheave as shown. Compute the torque delivered by the shaft to the sheave and the total force exerted on the shaft by the sheave. Resolve the force into its horizontal and vertical components, and show the net forces acting on the shaft at $\backslash ($ D $\backslash )$ in the horizontal and vertical directions.

$($a$)$ Pictorial view of assembly

$($b$)$ Detailed views of assembly and its components

FIGURE P$12-1($Problems $1,14,$ and $22)$ Shaft carrying a gear and a V$-$belt drive