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Center of Mass
Consider motion of object as if all mass located at C of G.
Center of Gravity – Average position of weight Average position of mass Center of Mass –
C of M does not have to be on the object.
Locating Center of Gravity
Center of Gravity = Balance Point
m1m1 m2m2 m3m3 m4m4 A Στ A = m 1 gx 1 + m 2 gx 2 + m 3 gx 3 + m 4 gx 4 CM (m 1 +m 2 +m 3 +m 4 ) Στ A = (m 1 + m 2 + m 3 + m 4 )g x CM A
m 1 gx 1 + m 2 gx 2 + m 3 gx 3 + m 4 gx 4 (m 1 + m 2 + m 3 + m 4 )g x CM = m 1 x 1 + m 2 x 2 + m 3 x 3 + m 4 x 4 + … x CM = m 1 + m 2 + m 3 + m 4 + …
Calculating CM 2- dimensions Platform: 6.0 m x 6.0 m 100. kg 500. kg 3 corners CM?
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