Answered: Determine the magnitude and direction…

Determine the magnitude and direction of the resultant force. Express the resultant force using Cartesian vector notation. 500 N 60 300 mm 5 424 N 400 N 200 mm

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 78AP: Four force vectors each have the same magnitude f.What is the largest magnitude the resultant force...

See similar textbooks

Related questions

Q: A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude…

A: Given,

Q: Vector A points along the positive x-axis and has a magnitude of 4.0. Vector B points along the…

A: The vector A→ can be written as A→=4.0i^ Here, i^ is the unit vector along x-axis. The vector B→ can…

Q: .Find the sum of the following vectors using the analytical method and polygon method A. 100 N, 30…

A: Draw a vector diagram.

Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

Q: Find the vector sum of the following vectors using Analytical method and polygon method. 1. 100 N,…

A: 1. Draw the vector. Vector sum Analytically: S=1002+302+2×100×30×cos45°=15142.64=123.05 Polygon…

Q: Find the x-component of this vector: 92.5 m 32.0° Remember, angles are measured from the +x axis.…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

A: The given vector: F1= 350 N Subtends 105° with x-axisF2=450 N Subtends 203° with x-axisF3=350 N…

Q: to GRAPHICALLY use the following individual vectors find the resultant vector in the first three…

A: Solution: 1. A+B: First draw the line A starting from origin O. Then, draw the line B from where the…

Q: Vectors Ã and B are shown in the figure. Vector C is given by C = Ã – B. The magnitude of vector A…

Q: The vector above is given in x- and y-component form as Vx = 14 m/s, Vy = -5 m/s' What is the angle…

Q: Given the following three force vectors in terms of their magnitude and directions, find the…

A: Please see the answer below.

Q: Vector A= 8.0 m at 60 degrees find the x component of the vector A. And find the y component of the…

A: Given data: Vector is given, A→= 8.0 m Consider the angle made by vector A with a positive X-axis,…

Q: You have two vectors, A and B. Find the vector sum of 2.1. 1 of 2.1 A +-3.5 B. A-3.62+3.93…

Q: L Find the resultant vector, magnitude of the angle and direction using component method. F2 = 53 km…

Q: The magnitude of a force vector F is 87.5 newtons (N). The x component of this vector is directed…

Q: A force vector A ⃗ has x- and y-components, respectively, of −8.80 units of force and 15.00 units of…

Q: Find the magnitude |D| and angle θ of a vector that has an X component of DX = 8 meters and a Y…

A: Given, A vector D which has x component Dx=8 m y component Dy=25 m angle θ of a vector

Q: Vector a→a→ has components ax = −4.20 m/s2 and ay = +7.30 m/s2. a. What is the magnitude of the…

Q: Find the magnitude and direction of the resultant vector using the analytical method.…

Q: use the following individual vectors to GRAPHICALLY find the resultant vector in the first three…

Q: Use the component method of vector addition to find the components of the resultant of the four…

A: A = 2.25 cos 60 degree i + 2.25 sin 60 degree j B = 6.35 cos 20 degree i - 6.35 sin 20 degree j c =…

Q: Please add the following vectors. Find the resultant vector, the magnitude of the resultant vector,…

A: Given:

Q: The magnitude of a force vector F is 82.5 newtons (N). The x component of this vector is directed…

Q: Displacement vector A is 3.50 km. north. Displacement vector B is 3.0 km, 50 degrees North of east.…

Q: 15. What is the angle of a vector that has components of 3.5 m [E] and 7.2 m [S]? а. [Е64%S] b.…

A: Given (15) vector and its components (16)motion of projectile it’s Bartleby policy that we’re…

Q: Which of the following could not be the magnitude of the vector sum of a 25-meter displacement…

Q: Vector Addition 1. Add the following Forces graphically and analytically to find the resultant…

A: The addition of two vectors can be done using Triangular Law of Vector Addition which gives the…

Q: The magnitude of the force F is 120 lb. Write the force in Cartesian Vector form. 15 ft B 18 ft F y…

A: Dear student The force can be written in vector form as : F = magnitude of force × unit vector in…

Q: Vector C has a magnitude of 24.6 m and points in the -y- direction. Vectors A and B both have…

Q: For the vectors shown, analytically determine the vector difference. R = A - B 70° 7 Resultant = A =…

A: Given value--- A = 150 unit , 70 degree with negative X axis . B = 150 unit , 20 degree with…

Q: The X component of the vector C shown in the above diagram is a. 12 m O b. 10.876 m c. -10.876 m d.…

A: Vector , c = 12 m Angle, Ө = 25ᵒ

Q: What is the magnitude of the resultant vector's unit vector? (Resultant vector of the two vectors…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

A: F1→=350N @ 1050=-90.59Ni^ +338.07Nj^F2→=450N @ 2030=-414.23Ni^ -175.83Nj^F3→=350N @ -360=283.16Ni^…

Q: A vector d has a magnitude 2.5 m and points north. What are the magnitudes and directions of the…

Q: The magnitude of a force vector is 84.1 newtons (N). The x component of this vector is directed…

A: The magnitude of a force F=84.1 N The x-component of the force Fx=75.2 N

Q: Using the component method, determine the resultant vector of A = 30 N, due North; B = 50 N, due…

Q: Case 1 (In this case, the shorter, red vector is F, and the longer, blue vector is F2.) F1 = 50 g 01…

A: Basic Details The vectors of force are distributed into components then the resultant force is…

Q: Express each force in Cartesian vector form and then determine the resultant force. F₂ = 175 lb 60°…

Q: A vector's magnitude and direction are 8 and 125°. What are its x and y lengths correct to 2 decimal…

A: We know, Length x=r cos(theta) Length=r sin(theta)

Q: What is the magnitude of a vector that makes an angle of 42° to the horizontal and whose y…

A: Given Angle made by vector from horizontal @ = 42° Y component of vector Ay = 5 units To find…

Q: The vector above is given in x- and y-component form as Vx = -7 m/s, Vy =4 m/s' What is the angle 0?…

Q: Vector A has a magnitude of 12.0 units and makes an angle of 30° with the positive x-axis. Vector B…

Q: F;= 200 N F2= 150 N 4.5 23 Calculate magnitude and direction of the resultant vector? Use Analytical…

A: For the Analytical method, apply the following steps. Calculate the angle θ between the vector F1…

Q: Express each of the forces shown below in Cartesian vector form, with correct vector notation; 25 KN…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

Q: The vector A Is directed due west with a magnitude of 12 N. Vector B is directed due north with a…

Q: What is the y-component of a vector if the magnitude is 34 and direction is 75 degrees? * 32.9

Q: Find the y-component of this vector: 92.5 m 32.0° Remember, angles are measured from the +x axis.…

Question

Determine the magnitude and direction of the resultant force. Express the
resultant force using Cartesian vector notation.
500 N
60
300 mm
424 N
400 N
200 mm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

What is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answers
Find the unit vector of direction for the following vector quantities: (a) Force , displacement , and (c) velocity .
Give a specific example of a vector, stating its magnitude, units, and direction.
A force vector A has x and y components, respectively, of -8.80 units of force and 15.00 units of force. The x and y components of force vector B are, respectively, 13.20 units of force and -6.60 units of force. Find the components of force vector C that satisfies the vector equation AB+3C=0 .
Give an example of a nonzero vector that has a component of zero.
A vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
Four force vectors each have the same magnitude f.What is the largest magnitude the resultant force vector may have when these forces are added? What is the smallest magnitude of the resultant? Make a graph of both situations.
The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.
Find the following for path C in Figure 3.58: (a) the total distance traveled and (b) the magnitude and direction of the displacement from start to finish. In this part of the problem, explicitly show how you follow the steps of the analytical method of vector addition.
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.