EPF Lecture Notes for Sections 2_7 - 2_8

# EPF Lecture Notes for Sections 2_7 - 2_8 - POSITION VECTORS...

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Today’s Objectives : Students will be able to : a) Represent a position vector in Cartesian coordinate form, from given geometry. b) Represent a force vector directed along a line.

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APPLICATIONS This awning is held up by three chains. What are the forces in the chains and how do we find their directions? Why would we want to know these things?
POSITION VECTOR

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POSITION VECTOR Consider two points, A and B, in 3-D space. Let their coordinates be (X A , Y A , Z A ) and (X B , Y B , Z B ), respectively. A position vector is defined as a fixed vector that locates a point in space relative to another point.
POSITION VECTOR 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. ALWAYS subtract the “tail” coordinates from the “tip” coordinates!

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FORCE VECTOR DIRECTED ALONG A LINE (Section 2.8) a) Find the position vector, r AB , along two points
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## This note was uploaded on 05/06/2011 for the course MECHENG 201 taught by Professor Rankin during the Spring '11 term at Wisconsin Milwaukee.

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EPF Lecture Notes for Sections 2_7 - 2_8 - POSITION VECTORS...

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