Question

Question 2 Determine the coordinates x, y, z of the centroid of volume of this composite machine element. Volume of sphere is nr. 125 mm 150 mm

Answer 1

SS solution a cuboid Volume , a ebh V = (250 x190x170) - 8075000 mnm 5, = 0, Z, ao X=0, 2 Cylinder volume (V2) = .772h V2 = 5(603% (200) Ve = 2261946.7 mm Tły = 85+200 - 185 mm § 2 =0, E2 =0 ② small rod - Volume (W) = 7 2 xe V T (15)x 100 = 17671.5 mm? W = 0, y = 125 + 100 = 145 mm M II - omm. .

@ Sphere Volume (V4) 29 53 Nqs 47 (50)3 = 523598.78 mm du = 125 + 100 150 = 275 mm 1 = 9, 24 =0 V au + V₂ Zz + V₃ X3 + Vq X4 . Wi+ Uz t Vj tvq 04 2261946.7 (185) +0+0 :: (8075000 +2261948:7 +17671.5 +523598.78) nm F = 38.467 mm - Vigo + V₂ Y₂ + Uz Yz it very V, TV2 + Uz tv4 D +0+17671.51175) +523598.78(275) 1087821098 ỹ = 13.521 mm

ā = U, Z1 + V₂ Zz + V3 Zz + Va Za Ve tuz tuz tug Ž=o i centroid (x, y, z) = (38.5, 13.5, o)