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# hw2 - Homework No 2 Vector components Y&F 1.40 Ans(a 10.0...

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Homework No. 2 Vector components Y&F 1.40 Ans : (a) 10.0 cm, 149 ° (b) 10.0 m, 166 ° (or 194 ° ) (c) 8.21 km, 19.2 ° (or 341 ° ) B = 50 N x y A = 120 N 35 ° 20 ° Vector addition by the components method CHANG 1 Two force vectors are shown in the figure. (a) Use unit vectors and to express ˆ i ˆ j A G and B G in the vector form. (b) If , find the components of . (c) Find the magnitude of C A B = + G G G C G C G as well as the direction by its angle measured from + x - axis. Ans : (a) ˆ ˆ 98.3 68.8 A i j = − + G N; ˆ 17.1 47.0 ˆ B i = G j N (b) C x = –81.2 N, C y = 21.8 N (c) 84.1 N, 165 ° B x y A = 120 N 35 ° 20 ° CHANG 2 Two force vectors are shown in the figure, and the total force vector is the sum of C G A G and B G : . If the total force is observed to be
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