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ch2_7_student_notes_Fll2010

ch2_7_student_notes_Fll2010 - POSITION FORCE...

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Today’s Objectives : a) Represent a position vector in Cartesian coordinate form, from given geometry. b) Represent a force vector directed along a line. In-Class Activities : Applications / Relevance Write position vectors Write a force vector Examples Questions
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Wing strut APPLICATIONS How can we represent the force along the wing strut in a 3-D Cartesian vector form?
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POSITION VECTOR A position vector is defined as a fixed vector that locates a point in space relative to another point. Consider two points, A & B, in 3-D space. Let their coordinates be (X A , Y A , Z A ) and ( X B , Y B , Z B ), respectively. The position vector directed from A to B , r AB , is defined as r AB = {( X B X A ) i + ( Y B – Y A ) j + ( Z B – Z A ) k }m Please note that B is the ending point and A is the starting point. So ALWAYS subtract the “tail” coordinates from the “tip” coordinates!
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FORCE VECTOR DIRECTED ALONG A LINE (Section 2.8)
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ch2_7_student_notes_Fll2010 - POSITION FORCE...

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