Question

Two forces, F⃗ 1 and F⃗ 2 , act at a point, as shown in (Figure 1). F⃗ 1 has a magnitude of 9.80 N and is directed at an angle of α = 61.0 ∘ above the negative x axis in the second quadrant. F⃗ 2 has a magnitude of 6.40 N and is directed at an angle of β = 54.1 ∘ below the negative x axis in the third quadrant. What is the x component Fx of the resultant force?

Name: two forces f 1 and f 2 act at a point as shown in figure 1 f 1 has a magnitude of 980 n and is directed at an angle of 610 above the negative x axis in the second quadrant f 2 has a magnitude of 640 n
Uploaded: 2023-09-19T02:30:04-08:00
Duration: 1 min 42 s
Channel: Massimo Antonelli
Description: two forces f 1 and f 2 act at a point as shown in figure 1 f 1 has a magnitude of 980 n and is directed at an angle of 610 above the negative x axis in the second quadrant f 2 has a magnitude of 640 n

          Two forces, F⃗ 1
 and F⃗ 2
, act at a point, as shown in (Figure 1). F⃗ 1
 has a magnitude of 9.80 N
 and is directed at an angle of α
 = 61.0 ∘
 above the negative x axis in the second quadrant. F⃗ 2
 has a magnitude of 6.40 N
 and is directed at an angle of β
 = 54.1 ∘
 below the negative x axis in the third quadrant. What is the x component  Fx
  of the resultant force?

Added by Hailey K.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Massimo Antonelli

09/19/2023

Step 1

For F1, the x-component is given by F1x = F1 * cos(α) = 9.80 N * cos(61.0°) = -4.90 N (since it's in the second quadrant, the x-component is negative). Show more…

Show all steps

Thanks for your feedback!

Two forces, F⃗ 1 and F⃗ 2 , act at a point, as shown in (Figure 1). F⃗ 1 has a magnitude of 9.80 N and is directed at an angle of α = 61.0 ∘ above the negative x axis in the second quadrant. F⃗ 2 has a magnitude of 6.40 N and is directed at an angle of β = 54.1 ∘ below the negative x axis in the third quadrant. What is the x component Fx of the resultant force?