Question

What are the vector components of the following: Round off your answer to two decimal numbers. Using analytical method.

a. G = 10m, 150°

b. L = 10m, 90°

c. A = 10m, 360°

d. D = 10m, 36° N of W

Answer 1

If the angles are in North of West direction:

$a. G_W = 10\cos150°=-8.66\text{ m}\\ \space\space \space G_N = 10\sin150°=5\text{ m}.\\ b. L_W = 10\cos90°=0,\\ \space\space \space L_N= 10\sin90°=10\text{ m}.\\ c. A_W = 10\cos 360°=10\text{ m},\\ \space\space \space A_N=10\sin360=0.\\ d. D_W = 10\cos 36° =8.1\text{ m},\\ \space\space \space D_N=10\sin36=5.88\text{ m}.$