Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

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Mechanical Engineering : Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

The document Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev is a part of the Mechanical Engineering Course Engineering Mechanics - Notes, Videos, MCQs & PPTs.
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Locate the center of gravity of the steel machine element. The diameter of each hole is 1 in.

Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

Solution: Form the machine element from a rectangular parallelepiped and a quarter cylinder and then subtracting two 1-in. diameter cylinders.

Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

 Volume,mm3Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev  Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev
I70312.56.25-2556.25439,453-1,757,8133,955,078
II24,553.633.71-21.216.25827,702-520,782153,460
III-6138.46.25-2587.5-38,365153,460-537,110
IV-6138.46.25-2537.5-38,365153,460230,190
 82,589.3   1190,425-1,961,6623,341,238

Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

 Shape Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev Volume
ConeCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevh/41/3 πa2h
PyramidCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevh/41/3 abh
Shape Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevVolume
HemisphereCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev3a/82/3πa3
Semiellipsoid of revolutionCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev3h/82/3πa2h
Paraboloid of revolutionCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevh/31/2πa2h

For the machine element shown, locate the z coordinate of the center of gravity.

Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

 V, in3Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRevCentre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev
I4*0.75*7=213.573.5
IIπ/2*22*0.75=4.7124Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev36.987
III-π*1.252*0.75=−3.687-25.76
IV1*2*4=8216
V−π1.252*1=−2.4532-4.906
27.579 95.821

Centre of Gravity for Composite Bodies Mechanical Engineering Notes | EduRev

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