Question

2 forces of magnitude, 5N and 8N respectively act at the same point and are inclined at 45 degree. Calculate the magnitude of the resultant force

Answer 1

F = 36.956 N

Step-by-step explanation:

The magnitude of the resultant force will be;

F = F1 × F2 × cosθ.

We are given;

F1 = 5 N

F2 = 8 N

The angle between the 2 forces is 45°

Thus, angle between each force and the vertical axis is 45/2 = 22.5°

F = 5 × 8 × cos 22.5

F = 40 × 0.9239

F = 36.956 N