$\_537$

$7\mathrm{.}4.$ The gear train shown in Fig. P$7\mathrm{.}4$ is arranged to feed lumber between the two $6-$in$.-$diameter rollers $(R)$ into a cutting blade for the purpose of ripping the lumber. The blade is being directly driven at $500$ rpm $.$ A power take$-$off, which consists of the belt system shown, drives the rollers for the purpose of feeding the stock. Determine the speed of the stock in fu$/$min and the direction of stock movement.

Figure P$7\mathrm{.}4$