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

## 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.

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

 Volume,mm3 I 70312.5 6.25 -25 56.25 439,453 -1,757,813 3,955,078 II 24,553.6 33.71 -21.21 6.25 827,702 -520,782 153,460 III -6138.4 6.25 -25 87.5 -38,365 153,460 -537,110 IV -6138.4 6.25 -25 37.5 -38,365 153,460 230,190 82,589.3 1190,425 -1,961,662 3,341,238

 Shape Volume Cone h/4 1/3 Ï€a2h Pyramid h/4 1/3 abh Shape Volume Hemisphere 3a/8 2/3Ï€a3 Semiellipsoid of revolution 3h/8 2/3Ï€a2h Paraboloid of revolution h/3 1/2Ï€a2h

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

 V, in3 I 4*0.75*7=21 3.5 73.5 II Ï€/2*22*0.75=4.7124 36.987 III -Ï€*1.252*0.75=âˆ’3.68 7 -25.76 IV 1*2*4=8 2 16 V âˆ’Ï€1.252*1=âˆ’2.453 2 -4.906 âˆ‘ 27.579 95.821

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