Question

4.5 in. те B 4.5 in. с D T, To - 16 lb d-7.1 in Two tape spools are attached to an ade supported by a journal bearing at A and a thrust bearing at the radius oT spool B is 1.5 in and the radius of spool C is 2.0 in Determine the tension Te. Find also the support reactions at A and at D Answer

Answer 1

4.5 in. 7.1 in. 4.5 in. Tc B 1.5 in. O T, = 161b D X 2 in. D.

Sol) Given data T. B = TB = 16 16 lb d = rolin s Pans: AB = = 4.5 in CD = 4.5 in ) Radius of spool B Radius of spool c = 115 in =r in Moment about x-axis Emoc x=0 [ TC x2] + [To IB X 1.5 X105] =0 16 X1.5 =25c 16 X 1.5 -) Tc = = 12 lb 2 .. Tension , Tc - 12 lb

Moment about y-axis Emy=0 Tc x(7.1+4.5) – Dz (4.5+7-1+4.5) = 0 6 (2x1).6) -02(16.1) 139.2 = Dz(16.1) = 0 Dz - 139.2 16.1 = 8.64 lb Moment about 2- axis EM₂=0 Bx4.5] + [Dy x16 <16-1) = =O Dy X 16.1 = TB x4.5 Dy 16x4.5 = 4.47 lb 16.1 Forces along 3-axis EFx = 0 Duc =0 :: reaction of bearing @ D = 4.473 +8.64€

Forces along y -axis E Fy = 0 Ay+ Oy -TB= Ay Тв – Dy - 16 - 4.47 Ay = 11.5316 Forces along z-axis EFz=0 Az +Dz - TC =0 Az N To - Dz = 12 -8.64 Az = 3.36 lb :. The reaction of bearing @ A = 11:53; + 3.36 k