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T03.2 CoG & Centroid

T03.2 CoG & Centroid - Center of Gravity(CoG...

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Center of Gravity (CoG) & Centroid T03.2
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CoG: System of Particles x y z W i x y z W R CoG i x i z i y x z y 1 2 y n R F W W W W  g 1 1 2 2 x n n R M W z W z W z W z 1 1 2 2 z n n R M W x W x W x W x 1 1 2 2 z n n R M W y W y W y W y y x z i i i xW x W i i i yW y W i i i zW z W
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CoG: Continuous Body x y z dW dV xdW x dV x dW dV ydW y dV y dW dV zdW z dV z dW dV
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Centroid Geometric center xdV x dV ydV y dV zdV z dV NOTE: If the body density is homogeneous (i.e., does not vary spatially) then CoG = centroid.
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Example x y a Find the centroid.
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Hibbeler’s Appendix C
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Composite Bodies x y z i i i xW x W i i i yW y W i i i zW z W i i i x V x V i i i y V y V i i
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