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mech_5_rigid_body_kinetics - Centre of Mass Centre of mass...

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Centre of Mass Centre of mass definition. m i r i = M r G (1) M - total mass r G - centre of mass position From diagram, r i = r G + ρ i therefore m i r i = m i (r G + ρ i ) = m i r G + m i ρ i = M r G + m i ρ i Since (1), therefore m i ρ i = 0 (2) From (1), we can deduce m i = M and m & r i & r G i && && r Mr i G = From (2), we can deduce m i & ρ i = 0 and m i && ρ i = 0 1
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