Question

Determine the coordinates x, y, z of the centroid of volume of this composite machine element. Volume of sphere is r 125 125 85 85 mm mm mm mm 95 mm 95 mm 50 mm 60 mm 1-150 mm -200 mm

Answer 1

The detailed solution is given below.
let 3' be the rod of L=150-50-100mm R. = 15 = 7.5mm. * Centrood of the rod (x, y, 2 40,125+50,0) o 373,32)=(0,175,0) #volume of the rod (3) = 8R2L = (705x 100 = 1767 cm Let y be the sphere of R= somm * Centooid of the spherel Zay Yu, žu)=(0,125+150,0) => (24,194,34) = 6,275,0) * volume of the spherel V4)= 4 OTR3 =% **(50) =523.6 cm3

Total volume = N*V2 +V₂ + Vy = 2261.946+8075+)7067+52306 = 10878-216 cm3 Centopid coordinates of the system beijoz) The x =: Nike+ V222 + V₃ 3 +Vy Ky = 2261.946*185 +0+0+0 10878.216 la = 38.47mm]

y = veg, +V₂G VzYz tvy Yy 30+ 0 +17.6781757523.6x275 10878.216 y = 13.52mm] 2 = V12, +V222 +1322 + Vyzy CA - Otomoto 16. (x, ,2)=(38.47,13.52,0)mmi

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