The motor A delivers 3000 hp to the shaft at 1500 rev/min, of which 1000 hpis removed by gear B and 2000 hp is removed by gear C. Determine (a) the maximum shear stress in the shaft; and (b) the angle of twist of end D relative to end A. Use G ¼ 12 106 psi for steel, and assume that friction at bearing D is negligible.