To extricate an SUV stuck in the mud, workmen use three horizontal ropes, producing the force vectors shown in ?Fig. E4.2?. (a) Find the x- and y- components of each of the three pulls. (b) Use the components to find the magnitude and direction of the resultant of the three pulls.

Solution 2E Step 1 of 6: Given F =985 N 1 F =788 N 2 F 3411 N 1=31 0 0 2=122 0 3=233 Step 2 of 6: a) 0 F 1x=F 1os = 1 cos31 =844 N F 1y=F 1in =F1sin 11 = 507 N 0 F 2x=F 2os = 2 cos122 =-418 N F =F sin =F sin 122 =668 N 1y 2 2 2 0 F 3x=F 3os = 3 cos233 =-247 N F =F sin = F sin233 =-328 N 3y 3 3 3 Step 3 of 6: b) R =F +F +F x 1x 2x 3x = 844 N -418 N-247 N =179 N R =F +F +F y 1y 2y 3y =507 N +668 N -328 N =847 N