Question

Find the magnitude & direction: 50N 25 N 35 N 10N

Answer 1

F1x + F2x = Rx

↓

Rx = F1x + F2x

↓

Rx = F1 cos45° + F2

↓

Rx = (50N)(cos45°) + 60N

↓

Rx = 95N

Similarly, if we sum all the y components, we will get the y component of the resultant force:

F1y + F2y = Ry

↓

Ry = F1y + F2y

↓

Ry = F1 sin45° + 0

↓

Ry = F1 sin45°

↓

Ry = (50N)(sin45°)

↓

Ry = 35N

At this point, we know the x and y components of R, which we can use to find the magnitude and direction of R:

Rx = 95N

Ry = 35N