ch2_7lecture - Y A ) j + ( Z B Z A ) k }m Please note that...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
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.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Wing strut APPLICATIONS How can we represent the force along the wing strut in a 3-D Cartesian vector form?
Background image of page 2
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
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 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! FORCE VECTOR DIRECTED ALONG A LINE (Section 2.8) If a force is directed along a line, then we can represent the force vector in Cartesian Coordinates by using a unit vector and the force magnitude. So we need to: a) Find the position vector, r AB , along two points on that line. b) Find the unit vector describing the lines direction, u AB = ( r AB /r AB ). c) Multiply the unit vector by the magnitude of the force, F = F u AB ....
View Full Document

This note was uploaded on 04/20/2011 for the course ENG 1333 taught by Professor Brr during the Spring '10 term at American College of Computer & Information Sciences.

Page1 / 4

ch2_7lecture - Y A ) j + ( Z B Z A ) k }m Please note that...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online