Section 2.4 Addition of a System of Coplanar Forces (page 32) CARTESIAN VECTOR IN TWO DIMENSIONS (page 1) y Fy y j Fv F 10 - Fx (a) Figure: 02_015a Copyright 092013 Pearson Education, publishing as Prentice Hall F - Fx i Figure: 02_016 Copyright 02013 Pearson Education, publishing as Prentice Hal -x -x
Section 2.4 Addition of a System of Coplanar Forces (page 32) CARTESIAN VECTOR IN TWO DIMENSIONS (page 2) · Rectangular components of a vector F=F + F. x y F and F are the rectangular components of F . X y · Cartesian unit vectors ! i is a dimensionless vector of length one which points along the positive x-axis. ! j is a dimensionless vector of length one which points along the positive y-axis. i and j designate the directions of the x and y axes. · Cartesian vector Write F = F? X X X F = F cos! : F= Fj F = F sin! y y Then F = F i + F j = Fcos! i + Fsin! j X y
Section 2.4 Addition of a System of Coplanar Forces (page 33) RESULTANT OF A SYSTEM OF FORCES: CARTESIAN VECTOR METHOD (page 1) y 1 F2 F1 X F3 (a) Figure: 02_017a Copyright @2013 Pearson Education, publishing as Prentice Hall ! . We want to determine the resultant FR of a system of forces F. F . F. ! 1' 2' '3' That is, we want to determine the magnitude and direction of FR where ! ! FR = ! F