A $2-$tooth left$-$hand worm transmits $0\mathrm{.}75$ hp at $600$ rev$/$min to a $36-$tooth gear having a transverse diametral pitch of $8$ teeth$/$in$.$ The worm has a normal pressure angle of $20\backslash$deg $,$ a pitch diameter of $1\mathrm{.}5$ in$,$ and a face width of $1\mathrm{.}5$ in$.$ Use a coefficient of friction of $0\mathrm{.}05.($b$)$ Bearings are centered at locations A and B on the worm shaft. Determine which bearings should bethe thrust bearing and find the magnitudes and directions of the forces exerted by both bearings.