EPF Lecture Notes for Sections 4_1 - 4_4

EPF Lecture Notes for Sections 4_1 - 4_4 - MOMENT OF A...

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MOMENT OF A FORCE (SCALAR FORMULATION), CROSS PRODUCT, MOMENT OF A FORCE (VECTOR Today’s Objectives : Students will be able to: a) understand and define moment, and, b) determine moments of a force in 2-D and 3-D cases.
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APPLICATIONS Carpenters often use a hammer in this way to pull a stubborn nail. Through what sort of action does the force F H at the handle pull the nail? How can you mathematically model the effect of force F H at point O?
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MOMENT OF A FORCE - SCALAR FORMULATION (Section 4.1) The moment of a force about a point provides a measure of the tendency for rotation (sometimes called a torque).
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MOMENT OF A FORCE - SCALAR FORMULATION (continued) As shown, d is the perpendicular distance from point O to the line of action of the force. In 2-D, the direction of M O is either clockwise or counter-clockwise, depending on the tendency for rotation. In the 2-D case, the magnitude of the moment is M o = F d
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(continued) Often it is easier to determine M O by using the components of F as shown. Then M O = (F Y a) – (F X b). Note the different signs on the terms! The typical sign convention for a moment in 2-D is that counter- clockwise is considered positive . We can determine the direction of rotation by imagining the body pinned at O and deciding which way the body would rotate because of the force. For example, M
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EPF Lecture Notes for Sections 4_1 - 4_4 - MOMENT OF A...

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