Problem #2 (10+ 15 = 25 pts) The shaft rotating with 2,000 rev/min is simply supported by bearings at B and D, and is driven by a helical gear (not shown)

which meshes with the shown 24-tooth helical gear having a normal pressure angle of -25°, a helix angle of y-35°, and a normal module of m-4 mm. The shaft transmits a torque to point A of T-200 N-m. a) Find the power transmitted by the shaft (H), and the gear contact forces W₁, Wa and W b) Find reactions at bearings B and D. Assume that the thrust load is taken by bearing D. Dimensions in the figure are given in mm. ΤΑ B Wa 100 W. W 300 W₁ 150 X