EXAMPLE (2): 171 ②+1-1- Given: Two forces are acting on a pipe as shown in the figure. Find: The magnitude and the coordinate direction angles of the resultant force. Solution: Plan: 1) Find the forces along CA and CB in the Cartesian vector form. 2) Add the two forces to get the resultant force, F 3) Determine the magnitude and the coordinate angles of F CA F 100 lb (c CA -++ F-100 lb (-3 sin 40° /+3 cos 40° J-4 k CL F(-38.57i+45.96 j-80 k) lb CA F-81 lb ( CB CR F-81 lb (41-7j-4 k F св CB تقال صلع F-81 lb QI from where? F₁-100 100 in K +- 02 -from where? = (36i-63 j-36 k) lb cos موجب فقط CAS 40 F= CA CB Y -(-£571-17.04)-116 k) lb 2 2 (2.57 +17.04 +116) -117.3 lb 117 lb a cos (-2.57/117.3)=91.3° B=cos (-17.04/117.3)-98.4° -I Y cos (-116/117.3) = 172° ლა = Cns ar for th magtinge of sum