AEM 2021 Lecture Notes - Lecture 31: Resultant Force

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Equivalent forces, systems 1-31-17 (on rigid body, same effect on body) 2 equal and opposite forces on parallel loas mean couple has a plane containing the two f"s. Couple: zero resultant force means there is no net tendency to cause the body to translate, but nonzero resultant moment will have a tendency to cause rotation. Where fa,f. pb being equal and opposite is known. M is independent of reference point o same tendency to rotate about any point. Two couples are equivalent if the same resultant moment. So, moment is all that matters when considering coupes! Represent couple by its moment vector (with one embellishment) call it a couple vector. Shows it is a couple vector, and a sense of couple (cw vs. Can move couple around in the plane (or a parallel plane). So, couple not tied to a fixed point of application (like a force)

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