Question

Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1 is 8.80 N , and its direction is an angle 63.0 ∘ above the x-axis in the second quadrant. The magnitude of F⃗ 2 is 5.80 N , and its direction is an angle 54.0 ∘ below the x-axis in the third quadrant.

A.What is the x-component of the resultant force?

B.What is the y-component of the resultant force?

C. What is the magnitude of the resultant force?

Answer 1

what's the problem?
Divide each force into its x- and y-components, add them up to get the resultant components.
Then convert back to polar form.

Answer 2

or, treat them as complex numbers, and you have
8.8 cis 117° + 5.8 cis 234°
= -7.404 + 3.149i
= 8.046 cis 157°

Answer 3

1. Forces F~
1 and F~
2 act at a point. The magnitude of F~
1 is 8N, and its
direction is 64◦ above the x-axis in the second quadrant.The
magnitude of F~
2 is 5.4N, and its direction is ?53.9
◦ below thex-axis in
the third quadrant.
(a) What are the x- and y-components ofthe resultant force?
(b) What is the magnitude of the resultant force