Week4_1 - ENGR210, Fall 2011 1 4.3 Moment of a force vector...

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Unformatted text preview: ENGR210, Fall 2011 1 4.3 Moment of a force vector formulation The moment of a force F about point O, or about the moment axis passing through O and perpendicular to the plane containing O and F is Mo = r x F where r is a position vector from O to any point on the line of action of F . The magnitude of Mo is Mo = r F sin = F (r sin ) = F d where d is the moment arm The direction of Mo follows the right-hand rule. ENGR210, Fall 2011 2 Principle of transmissibility As stated earlier, the position vector r can be from O to any point on the line of action of F . This means that the force vector F can be considered as a sliding vector. This property is called the principle of transmissibility of a force. ENGR210, Fall 2011 3 Cartesian vector formulation Or ENGR210, Fall 2011 4 Resultant moment of a system of forces If multiple forces are acting on a body, the resultant moment (of the forces) is determined by vector addition of the moment of each force, i.e., (The resultant force is F R = F . Note that forces do not depend on a point, and therefore, F R , not F Ro....
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Week4_1 - ENGR210, Fall 2011 1 4.3 Moment of a force vector...

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