Locate the centroid of the frustrum of a right circular cone when r1 = 40 mm, r2

Question

Locate the centroid of the frustrum of a right circular cone when r1 = 40 mm, r2 = 50 mm and h = 60 mm. How many mm above the base of the cone?

you to . Also, as tes of the er circle. ge uniform Fig. P5.97 section, en V is (5.21) te body shown is formed by removing a semiellipsoid of semimajor axis h and semiminor axis a/2 from a 98 The composite body sh of revolution of se of rehere of radius a. Determine (a) the y coordinate of the cen- or hemisphere of hemisphenh = a/2, (b) the ratio lda for which y =-0.4a. troid when h troid when the centroid of the frustum of a right circular cone when Fig. P5.98 = 40 mm, 50 mm, and h = 60 mm. ness t 99 Locate the centroid of the f here in ther es on, er es Fig. P5.99 283

Explanation / Answer

zbar=h(r12 + 2r1r2+ 3 r22) / 4 (r12 + r1r2 +r22)

786000 / 24400 = 32.21 mm

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