162A 2 - Position and Displacement

# 162A 2 - Position and Displacement - 162A. Position and...

This preview shows pages 1–8. Sign up to view the full content.

162A. Position and Displacement in Mechanisms Chapter 2: Position & Displacement

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

View Full Document
Chapter 2 s Position and Displacement
Notation s Consider a fixed reference coordinate system O xyz or simply O xy if we have a 2-d reference system. O is the origin from which positions are measured s The position of a point P in the coordinate system is represented as R PO which is a vector verbalized as “R P to O”. Remember: tip-to-tail. This R PO vector is sometimes simply written as R P , when it is w.r.t. the origin. s Vector R P is written with R in bold (or with a line above or below the letter) to connote it is a vector. Without bold (or a line), it connotes just the magnitude

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

View Full Document
Terms s Absolute Position of a point is its position with respect to the origin of the coordinate system s Relative Position between two points P and Q can be expressed as position ifference between those difference between those two points R PQ = R PO - R QO s Apparent Position of a point P is the position of the point P relative to the observer s Absolute and Relative Positions are related as : R PO = R QO + R PQ
We’ll employ two methods for position analysis s Graphical Method b Intuitive b Inexact s Complex Algebra Method b Analytic b Exact

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

View Full Document
Before that…. The Loop Closure Equation s Loop Closure Equation: A vector equation representing all or part of mechanism formulated according to the fact: The vector sum of a closed polygon equals zero. s That is, the sum of vectors to close the loop is 0 , or,
Loop-Closure Equation s Applying the loop closure equation to the hand-operated clamp A B C D R BA + R CB + R DC + R AD = 0

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 08/08/2011 for the course MAE 162A taught by Professor Glenn during the Spring '08 term at UCLA.

### Page1 / 36

162A 2 - Position and Displacement - 162A. Position and...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online