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Unformatted text preview: Position vector from point O to M: r = xi + yj + zk x z y r M O Moment of a Force about a Point The moment of a force about point O is defined by: M O = r × F (M = rF sin θ ) Units of moment are N m or, lb in r O F M o Moments in the Plane M O = r × F M = rF sin θ = dF F r M o d θ F r M o d θ Varignon’s Theorem “Moment of the resultant = Resultant of the moments” r × ( F 1 + F 2 + F 3 + …) = r × F 1 + r × F 2 + r × F 2 Components of Moment r = xi + yj + zk F = F x i + F y j + F z k M O = r × F = (yF zzF y )i + (zF xxF z )j + (xF yyF x )k In the plane: M O = r × F = (xF yyF x )k...
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 Fall '08
 MACNAMARA
 Addition, Vector Space, Angular Momentum, Force, Euclidean geometry, equivalent force systems

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