The figure shows a possible arrangement of gears in a lathe headstock. Shaft A is driven by a motor at a speed of 720 rev/min. The three pinions can slide along shaft A to yield the meshes 2 with 5, 3 with 6, or 4 with 8. The gears on shaft C can also slide to mesh either 7 with 9 or 8 with 10. Shaft C is the mandrel shaft.

(a) Make a table demonstrating all possible gear arrangements, beginning with the slowest speed for shaft C and ending with the highest, and enter in this table the speeds of shafts B and C.

(b) If the gears all have a module of m =

5 mm/tooth, what must be the shaft center distances?

Figure P7.56 N2 = 16T, N3 = 36T, N4 = 25T, N5 = 64T, N6 = 66T, N7 = 17T, N8 = 55T, N9 = 79T, and N10 = 41T.