Question

4:10 8:20 30° FIG. 2-13. Problems 2-1 and 2-2. 2-2. Using the same vectors A and B given in Prob. 2-1, solve graphically the equation R = A + B using (a) the head-to-tail method shown in Fig. 2-2b and (b) the concurrent method shown in Fig. 2-2d.

Answer 1

AB=20 A 30°.. A = lo (a) veeter tail addition by method) graphical method ( Head to scale: let 1cm = 4 unit 120 130* A length of recter A; = 10 = 2.5cm length of reeter B = 20 = 5cm Now taking measurement from scale, emyth +R-70 = 14-21 length of resultant R= 7.3 cm R =7.374 TR= 29.2 and R makes an angle of 20° from a

Analytical method 7 B=20 R $ A Flo By parallelogram law of rector andlition, R- J AzeB2P 2X AX B x cos3 . R= 12+28++ 2X1°420 Cos3o R = 29.09 Arge $ом A &) feina = B Sin 30 A + B C05 30 = Zosimo 10 of 20005309 . = 20.19 du 20° . R makes an angle of 20° from A.