Find the resultant of the following forces:

Question

Find the resultant of the following forces:

Accepted Answer

Solution:

$F_{x}$ = Net force along x-axis = 10.4 = 6 N

$F_{y}$ = Force along y-axis = 5 N

The magnitude of the resultant force = F =?

F = $√F_{x}^{2} + F_{y}^{2}$

F = $√(6)^{2} + (6)^{2}$

F = √36 + 36

= √72 = 8.5 N

Now, θ = $tan^{-1}$ =$\frac{F_{y}}{F_{x}}$

θ = $tan^{-1}$ =$\frac{6}{6}$

θ = $tan^{-1}$ (1)

θ = 45⁰ with x-axis