Question

Using method of resolution, find the resultant of vector sum of all the following vectors.
A = 20 m/s, East, B = 25 m/s, 37° N-E C = 15 m/s, 37° W-N
Ē = 20 v2 m/s, E-S.
D = 30 m/s, South
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Answer 1

Answer:

51i - 23 j

Explanation:

Let say East = i   & North = j

West = -i  & South = - j

A = 20 m/s, East,

=> A = 20i  + 0 j

B = 25 m/s, 37° N-E  (37deg North of East)

B = 25Cos37 i  + 25Sin37j

B = 25*0.8 i + 25*0.6 j

B = 20i  + 15j

C = 15 m/s, 37° W-N

C = 15Sin37(-i)  + 15Cos37j

C = -9i + 12j

D = 30 m/s  South

D = -30j

E = 20√2  East South

E = 20√2 Cos45 i  + 20√2 Sin45(-j)

E = 20i - 20j

A + B + C + D + E  = 51i - 23 j