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 F_R, = F₁ + F₂ + F₃ in kips [reported in Cartesian vector form].

F_R = _____ kips

(b) Determine the magnitude of the resultant force in kips.

________kips

α = _______ °

β = _______ °

γ = _______ °

(d) Determine unit vectors in the directions of each component force as well as in the direction of the resultant force. (Express your answers in vector form.)

u_F₁ =

u_F₂ =

u_F₃ =

u_R =

Solutions

Expert Solution

Ally Wells answered 1 year ago

Next > < Previous

Related Solutions

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?...

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...

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...

Find the direction and magnitude of the net electrostatic force exerted on the point charge q2...

Find the direction and magnitude of the net electrostatic force exerted on the point charge q2 in the figure.(Figure 1) Let q=+2.0μC and d=36cm. Express your answer using two significant figures. Fnet = N Previous AnswersRequest Answer Incorrect; Try Again; 4 attempts remaining Part B Express your answer using three significant figures. θ = nothing ∘ counterclockwise from q2-q3 direction Request Answer Provide Feedback q=+q q2=-2q q3=-3q q4=-4q please explain I am so confused

What must be the magnitude and direction (specified by the angle e in the drawing) of the third force Fs such that the vector sum of the three forces is 0 N?

Three forces are applied to an object, as indicated in the drawing. Force F1 has a magnitude of 32.0 newtons (32.0 N) and is directed 30.0° to the left of the +y axis. Force F2 has a magnitude of 21.5 N and points along the +x axis. What must be the magnitude and direction (specified by the angle e in the drawing) of the third force Fs such that the vector sum of the three forces is 0 N?

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 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...

Three point charges are arranged as shown in the figure below. Find the magnitude and direction...

Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 5.08 nC at the origin. (Let r12 = 0.290 m.) FIND: magnitude N direction ° counterclockwise from the +x axis Three point charges lie along the axes in the x y coordinate plane. Positive charge q is at the origin. A charge of 6.00 nC is at (r1 2, 0), where r1 2 > 0....

Four forces are acting on an object in static equilibrium: Force 1 has a magnitude of...

Four forces are acting on an object in static equilibrium: Force 1 has a magnitude of 46.0 N and is acting at an angle of (45 + A) degrees above the positive x-axis. Force 2 has a magnitude of (15+B) N and is acting along the positive x-axis. Force 3 has a magnitude of 34.5 N and is acting along the negative y-axis. Find the magnitude of the last force, F4. Give your answer in newtons (N) and with 3...

Subjects