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Lecture 06 - ME221 Statics LECTURE 6 Sections 3.6 3.9 ME221...

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ME221 Lecture 6 1 ME221 Statics LECTURE # 6 Sections 3.6 – 3.9
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ME221 Lecture 6 2 Homework #2 Due today Quiz #3 Today
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ME221 Lecture 6 3 Homework #3 Chapter 3 problems: 48, 55, 57, 61, 62, 65 & 72 Chapter 4 problems: 2, 4, 10, 11, 18, 24, 39 & 43 Due Monday, June 7
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ME221 Lecture 6 4 Moment of a Couple x y z O F 2 B r F 1 r AB =r B/A r A Let F 1 = -F 2 d M o =r A x F 2 + r B x F 1 =(r B - r A ) x F 1 =r AB x F 1 = C The Moment of two equal and opposite forces is called a Couple |C|=|F 1 | d
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ME221 Lecture 6 5 The two equal and opposite forces form a couple (no net force, pure moment) The moment depends only on the relative positions of the two forces and not on their position with respect to the origin of coordinates Moment of a Couple (continued)
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ME221 Lecture 6 6 Since the moment is independent of the origin, it can be treated as a free vector, meaning that it is the same at any point in space The two parallel forces define a plane, and the moment of the couple is perpendicular to that plane Moment of a Couple (continued)
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