Resultant of 100N 30 degrees E of N; 200N 80 degrees S of E; 150N 45 degrees S of W; 175N 25 degrees W of N and 50N towards North.

Forces are vectors: their magnitude as well as a direction
has to be considered when working with them.

You want to
know the resultant force of 5 forces.

1. 100 N
   acting in a direction 30 degrees east of north


2. 200 N
   acting in a direction 80 degrees south of east


3. 150 N
   acting in a direction 45 degrees south of west


4. 175 N
   acting in a direction 25 degrees west of north


5. 50 N
   acting in the north direction

First let us
divide the forces into their components in the north, south, east and west
direction.

1. 100*cos 30 towards north and 100*sin 30
towards east

2. 200*cos 80 towards east and 200*sin 80
towards south

3. 150*cos 45 towards west and 150*sin 45
towards south

4. 175*cos 25 towards north and 175* sin 25
towards west

5. 50 N towards the
north

Find the net force towards the west , that will
include the negative of all forces towards the
east.

150*cos 45 + 175* sin 25 - 100*sin 30 - 200*cos 80 =
95.29

Find the net force towards the north, this will
include the negative of all forces towards the
south.

100*cos 30 + 175*cos 25 + 50 - 200*sin 80 - 150*sin
45 = -7.82

The resultant force is 95.61 N in
the direction 1.43 degrees south of
west.