Question

In: Physics

Two forces, vector F1 and F2, act at a point. The magnitude of F1 is 9.50...

Two forces, vector F1 and F2, act at a point. The magnitude of F1 is 9.50 N, and its direction is an angle 65.0 degrees above the negative direction of x-axis in the second quadrant. The magnitude of F2 is 5.50 N, and its direction is an angle 53.1 degrees below the negative direction of x-axis in the third quadrant.

Part A: What is the x-component of the resultant force?

Part B: What is the y-component of the resultant force?

Part C: What is the magnitude of the resultant force?

Solutions

Expert Solution

We can write these forces in vector form as

                                

          and                 

So, the resultant force is

                                

A.

So, the x-component of resultant force is 7.32 N.

B.

the y-component of the resultant force is 4.2 N.

C.

The magnitude of the resultant force is

                           


Related Solutions

Two forces, F1 and F2, act at a point, as shown in the picture....
Two forces, F1 and F2, act at a point, as shown in the picture. (Figure 1) F1 has a magnitude of 8.00 N and is directed at an angle of α = 62.0 ∘ above the negative x axis in the second quadrant. F2 has a magnitude of 5.60 N and is directed at an angle of β = 52.8 ∘ below the negative x axis in the thirdA) What is the x component Fx of the resultant force?Express your...
Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction...
Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction angles for F1 are (α1, β1, γ1) = (76.6°, 108°, 22.6°). Force F2 = (−27.0i + 10.0j + 27.0k) kips. Force F3 = (4.00i + 6.00j − 34.0k) kips. (a)Determine the resultant force FR, = F1 + F2 + F3 in kips [reported in Cartesian vector form]. FR = _____ kips (b) Determine the magnitude of the resultant force in kips. ________kips (c) Determine...
Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude...
Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude 98 N inclined at 139 o , measured from the positive x axis with counterclockwise positive. Find the direction of this resultant vector (between the limits of 0 and −180◦ from the positive x-axis). Answer in units of o . Your answer must be within ± 5.0%
Q1)Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1...
Q1)Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1 is 9.80 N , and its direction is an angle 58.0 ∘ above the x-axis in the second quadrant. The magnitude of F⃗ 2 is 6.40 N , and its direction is an angle 52.7 ∘ 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...
Two forces, F⃗ 1 and F⃗ 2, act at a point. F⃗ 1 has a magnitude...
Two forces, F⃗ 1 and F⃗ 2, act at a point. F⃗ 1 has a magnitude of 8.20 N and is directed at an angle of 64.0 ∘ above the negative x axis in the second quadrant. F⃗ 2has a magnitude of 5.20 N and is directed at an angle of 53.8 ∘ below the negative x axis in the third quadrant. Part A What is the x component of the resultant force? Part B What is the y component...
Forces F1 and F2 act on the bracket as shown. Determine the projection Fb of their resultant R onto the b-axis.
Forces F1 and F2 act on the bracket as shown. Determine the projection Fb of their resultant R onto the b-axis. 
Given the vector F1 = 100 N, Ѳ1 = 20o , and F2 = 200 N,...
Given the vector F1 = 100 N, Ѳ1 = 20o , and F2 = 200 N, Ѳ2 = 90o   and F3= 300 N, Ѳ3 =220o . Find the magnitude and direction of the resultant F= F1 + F2 + F3 using the following method: Analytical: Use the component method. (6pts.) Graphical: Use the polygon method. (6pts.) Use a percent error calculation to determine how close the graphical result are to the analytical method.
Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is...
Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is not empty, then  F1 ∪ F2 is connected. also Suppose that F is connected. Show that F¯ (the closure of F) is also connected.
Two forces, F⃗ 1F→1F_1 and F⃗ 2F→2F_2, act at a point. F⃗ 1F→1F_1 has a magnitude...
Two forces, F⃗ 1F→1F_1 and F⃗ 2F→2F_2, act at a point. F⃗ 1F→1F_1 has a magnitude of 9.80 N and is directed at an angle of 65.0 degrees above the negative x axis in the second quadrant. F⃗ 2F→2F_2 has a magnitude of 5.80 N and is directed at an angle of 53.0 degrees below the negative x axis in the third quadrant. A) What is the x component of the resultant force? Express your answer in newtons. B) What...
Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector.
Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector. State the magnitude and coordinate direction angles of the resultant vector. 
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT