Homework No. 2 Vector components Y&F 1.40Ans: (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 CHANG1Two force vectors are shown in the figure. (a) Use unit vectors and to expressˆiˆjAGand BGin the vector form. (b) If , find the components of . (c) Find the magnitude of CAB=+GGGCGCGas well as the direction by its angle measured from +x-axis. Ans: (a) ˆˆ98.3 68.8 Aij= −+GN; ˆ17.1 47.0 ˆBi=−GjN (b) Cx= –81.2 N, Cy= 21.8 N (c) 84.1 N, 165°Bx y A= 120 N 35°20°CHANG2Two force vectors are shown in the figure, and the total force vector is the sum of CGAGand BG: . If the total force is observed to be
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